Acknowledgement

Time flies! A blink, I am already at the end of my PhD study. It has been a very pleasant three years, during which I learnt so much about science and life, as well as my French, English and some fake Italian. This thesis would have remained a dream had it not been for Francis Haraux, my Director of thesis, my friend, guide and philosopher. Thank you so much, Francis, for being patient, encouraging and supporting; for all the scientific discussions, all the experiments we did together and things I learnt from you; for teaching me the most proper French; for your sense of humor and your art; for sharing the happy moments around delicious food and drinks; for all the personal help (especially important for a foreign student!); for all the …… (I need ten more pages.)

It is with immense gratitude that I acknowledge the support and help of our team, Dr. Claire Lemaire, Mehdi Lembrouk, Margaux Renvoisé, as well as Gwenaëlle Moal. Well, Dr. Tiona Andrianaivomananjaona needs a whole line for her name! Thank you, Tiona for all the valuable help throughout the whole practical work! Thank you, my lovely colleagues for all the team meeting, discussion and lunchtime! I wish to thank our collaborator Dr. Emmanuel Tetaud, with whose professional skills and advise we could complete our work and eventually write an article.

I would like to express my thanks of gratitude to my thesis committee: Dr. Bruno Miroux, who is as well my "rapporteur extérieur" during my thesis; Dr. Daniel Brèthes, who comes all the way from Bordeaux; Dr. Laura Baciou from Orsay; and Pr. Marc le Maire as the president of the committee. I am lucky to have this group of great scientists spending their valuable time and energy to review my thesis and coming to my defense. Thank you very much! I am indebted to Pr. Marc le Maire who offered me the opportunity to work in our institution iBiTec-S. As the Director of master, he helped me with patience and encouragement; as the Director of URA2096, he and Dr. Ahmed Zahraoui offered me the internship in our institution in CEA saclay. In iBiTec-S/SB2SM, it is with immense gratitude that I acknowledge the great support and help of Bruno Robert, the Director of SB2SM/UMR8221; Jean-Marc Grognet, the Director of iBiTec-S; Maïté Paternostre, the vise Director of iBiTec-S.

It gives with me great pleasure in acknowledging the support of my colleagues and friends in SB2SM, whom I spent pleasant three years. Thanks Ghada, Violaine and Dominique, I learnt a lot from you! Thanks Anja, Sun for the lunchtime that I improved my English and for your warm help for my thesis! Thanks Hervé, without your spectro I could not have good yeast! Thanks Alain, for inviting me to your pots! Thanks Winfried for sharing cigarette breaks! Thanks my dear friends Amin, Benjamin, Cedric, Christian, Denis, Denise, Eduardo, Eiri, Kathleen, Liz, Manolis, Michał, Raj, Sana, Stéphanie, as well as my dearest physicists Cinthya, Marta, Adam and Niraj. Thank you for your support and all the happy time together! Those very close friends inside and outside of CEA who I didn't write your names here are all in my heart!!! I am so lucky that I have many great friends here, which makes me feel like home.

Finally, I would say that my thesis is dedicated to my parents who have given me the opportunity of an education from the best institutions and support throughout my life. I cannot find words to express my love! Mitochondria are organelles found in most eukaryotic cells (all plants, animals, fungi and protists) [START_REF] Henze | Evolutionary biology: essence of mitochondria[END_REF]. This compartment, which has a doublemembrane-enclosed structure, together with the nucleus is the distinguishing characteristics of eukaryotic cells and is not found in prokaryotic cells. Mitochondria are considered to be the double-membrane-bounded powerhouses of eukaryotic cells, because they generate most of the supply of adenosine triphosphate (ATP) used as a source of chemical energy for the cells. The prokaryote-to-eukaryote transition is still unclear with many different theories on the go. In addition to supplying cellular energy, mitochondria are involved in other functions such as signalling, cellular differentiation, cell death, as well as the control of the cell cycle and cell growth. They are also implicated in several human diseases including mitochondrial disorders [START_REF] Burnett | Mitochondrial inheritance in depression, dysmotility and migraine?[END_REF] and cardiac dysfunction [START_REF] Lesnefsky | Mitochondrial dysfunction in cardiac disease: ischemia--reperfusion, aging, and heart failure[END_REF] and may play a role in the aging process.

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Mitochondria are semi-autonomous in the sense that they are partially dependent on the cell to replicate and grow. They have their own DNA, ribosomes and can make their own proteins. Similar to bacteria, mitochondria have circular DNA (mt DNA) and replicate by a reproductive process called fission. A typical animal cell will have on the order of 1000 to 2000 mitochondria. So the cell will have a lot of materials that are capable of producing a high amount of available energy. This ATP production by the mitochondria is coupled to the process of respiration, which occurs in the mitochondrial inner membrane with an electron transporting chain.

History and diseases

The first observations of intracellular structures probably representing mitochondria date to the 1840s (e.g. Henle, 1841;Aubert, 1852;Kkolliker, 1856;Butschli, 1871;Flemming, 1882;Kolliker, 1888;Retzius, 1890). In 1894, Richard

Altmann established them as "elementary organisms" living inside cells and carrying out vital functions and called them "bioblasts". His idea of symbiotic origin of mitochondria was accepted several decades later, based on similarities between mitochondria and bacteria. The term mitochondrion was introduced in 1898 by Carl Benda. It originates from the Greek "mitos" (thread) and "chondros" (granule), referring to the appearance of these structures during spermatogenesis. The observations of mitochondria developed with time and electromicroscopy technology.

Bonjamin F. Kingsbury, in 1912, first related mitochondria with cell respiration but almost exclusively based on morphological observations. It was not until 1925 when David Keilin discovered cytochromes that the respiratory chain was described. In the middle of 20 th century, the observations of mitochondria were revolutionary on structure and metabolism. The first high-resolution micrographs appeared in 1952.

This led to a more detailed analysis of the structure of the mitochondria. The popular term "powerhouse of the cell" was defined by Philip Siekevitz in 1957. In 1967 it was discovered that mitochondria contained ribosomes. The year after, methods were developed for mapping the mitochondrial genes, with the genetic and physical map of yeast mitochondria being completed in 1976.

There are two hypotheses about the origin of mitochondria: endosymbiotic and autogenous. The endosymbiotic hypothesis suggests mitochondria were originally prokaryotic cells that were capable of implementing oxidative mechanisms, of which eukaryotic cells were not capable. The autogenous hypothesis suggests mitochondria were born by splitting off a portion of DNA from the nucleus of the eukaryotic cell at the time of divergence with the prokaryotes. Since mitochondria share many common features with bacteria, the endosymbiosis theory is more popular at present.

Mitochondria are found in every cell of the human body except red blood cells.

They are implicated in several human diseases. Mitochondrial diseases result from failures of the mitochondria, damage and subsequent dysfunction in mitochondria, which influence the cell metabolism. Diseases caused by mutation in the mtDNA include Keams-Sayre syndrome [START_REF] Butler | Kearns-Sayre syndrome. A review of a multisystem disorder of children and young adults[END_REF], MELAS syndrome (Mitochondrial encephalomyopathy, lactic acidosis, and stroke-like episodes) [START_REF] Pavlakis | Mitochondrial myopathy, encephalopathy, lactic acidosis, and strokelike episodes: a distinctive clinical syndrome[END_REF]), Pearson's syndrome [START_REF] Baerlocher | Mitochondrial DNA deletion in an 8-year-old boy with Pearson syndrome[END_REF], progressive external ophthalmoplegia, MERRF (myoclonic epilepsy with ragged red fibers) [START_REF] Wu | Mitochondrial DNA mutation-elicited oxidative stress, oxidative damage, and altered gene expression in cultured cells of patients with MERRF syndrome[END_REF] and Leber's hereditary optic neuropathy [START_REF] Hadavi | Leber's neuropathy and preferred retinal loci[END_REF]. In most case, these diseases are transmitted by a female to her children, as the zygote derives its mitochondria and hence its mtDNA from the ovum. The disease primarily affects children, but adult onset is becoming more and more common. In addition, a number of mitochondrial dysfunctions of genetic origin are implicated in a range of age-related diseases, including tumours. Mutations in the mitochondria-encoded subunits of ATP synthase cause OXPHOS disease [START_REF] Kovarova | Adaptation of respiratory chain biogenesis to cytochrome c oxidase deficiency caused by SURF1 gene mutations[END_REF][START_REF] Shoffner | Oxidative phosphorylation disease diagnosis[END_REF]. ATP synthase has also been found on the surface of cancer cells, whereas the enzyme was thought

Main structure and function

Mitochondria vary widely in shape, such as rod-like or granular; and in size ranging from 0.5 to 1.0 µm in diameter. The first high-resolution micrographs appeared in 1952 revealed by Palade [START_REF] Palade | The fine structure of mitochondria[END_REF]. In the following years, different models have been established. Figure 1 shows an observation of mitochondria from rat pancreas exocrine cells using High-resolution scanning electron microscopy [START_REF] Perkins | Recent structural insight into mitochondria gained by microscopy[END_REF]. This ultra-fine-structure of mitochondria was published in 2000 by Perkins and Frey, from which we could clearly distinguish the outer and inner mitochondrial membrane, as well as cristae, and maybe also the ATP synthase. A model of mitochondria is shown in figure 2. Details of their components will be developped as follows.

a) Outer mitochondrial membrane

The outer membrane of mitochondria encloses the entire organelle. It is around 6 and 7 nm thick and barely selective to ions or other small molecules. This membrane has a protein-to-phospholipid ratio close to 4:6 which is similar to that of the eukaryotic plasma membrane. It contains large numbers of integral proteins such as porins and translocases allowing molecules of different sizes to pass from one side to the other.

b) Intermembrane space

The intermembrane space is the space between outer membrane and inner membrane of a mitochondrion. It is also known as perimitochondrial space. In the intermembrane space, the concentration of small molecules such as ions and sugars is the same as in cytosol because of the outer membrane permeability. However, large size proteins have specific signalling sequences to be transported across the outer membrane to the intermembrane space, e.g. cytochrome c [START_REF] Chipuk | Mitochondrial outer membrane permeabilization during apoptosis: the innocent bystander scenario[END_REF].

c) Inner mitochondrial membrane

The inner membrane of mitochondria is very rich in protein. It contains around 1/5 of the total protein in a mitochondrion. It is also very selective to most of molecules. Almost all ions and molecules require special membrane transporters to enter or exit the matrix. Proteins are ferried into the matrix via the translocase of the inner membrane (TIM) complex or via Oxa1 [START_REF] Herrmann | Protein transport into mitochondria[END_REF]. Besides, the inner membrane has a particularly high level of one phospholipid, cardiolipin, which is important to stabilize the respiratory chain supercomplexes (Eble et al, 1990;[START_REF] Pfeiffer | Cardiolipin stabilizes respiratory chain supercomplexes[END_REF][START_REF] Zhang | Cardiolipin is essential for organization of complexes III and IV into a supercomplex in intact yeast mitochondria[END_REF]. The respiratory chain, or electron transport chain, is located in the inner membrane containing four protein complexes. It forms a membrane potential, which is used to produce ATP. Most of the ATP in a cell is produced in the inner membrane by the enzyme ATP synthase, which is also known as complex V forming the oxidative phosphorylation (OXPHOS) chain. This membrane also contains the ATP/ADP transporter, phosphate transporter that insure the production of ATP.

d) Matrix

The matrix is the space enclosed by the inner membrane. It contains about 2/3 of the total protein in a mitochondrion as well as a few mitochondrial genetic materials and the machinery to manufacture the mitochondrial proteins. There are several important metabolic processes occurring in the matrix, such as the oxidation of pyruvate and fatty acids, the citric acid cycle, vitamins biosynthesis, and hormone steroids biosynthesis etc. It is also implicated in the calcium and ROS signaling. In addition, it participates in the cell aging and apoptosis.

Electron transport chain

The electron transport chain locates in the inner mitochondrial membrane. It consists of a series of protein complexes cooperating to generate redox reactions, which couples electron transfer between an electron donor and an electron acceptor (such as NADH and O 2 ) to the transfer of protons H + across the membrane, establishing an electrochemical proton gradient. The proton gradient is used by the enzyme ATP synthase to store energy as ATP (adenosine triphosphate). Figure 3 shows the mitochondrial electron transport chain in Saccharomyces cerevisiae.

b) Complex II or succinate dehydrogenase

Complex II refers succinate dehydrogenase, which is bound to the inner membrane facing matrix. It is the only enzyme that participates in both the citric acid cycle and the electron transport chain [START_REF] Oyedotun | The quaternary structure of the Saccharomyces cerevisiae succinate dehydrogenase. Homology modeling, cofactor docking, and molecular dynamics simulation studies[END_REF]. It catalyzes the oxidation of succinate to fumarate with the reduction of ubiquinone to ubiquinol. The succinate binding site and ubiquinione binding site are connected by a chain of redox centers including FAD and the Fe-S cluster.

c) Complex III or complex bc 1

Complex III is also called cytochrome bc1 complex. It is a mutisubunit transmembrane protein encoded by both mitochondrial (cytochrome b) and the nuclear genomes (all other subunits) [START_REF] Gao | Structural basis for the quinone reduction in the bc1 complex: a comparative analysis of crystal structures of mitochondrial cytochrome bc1 with bound substrate and inhibitors at the Qi site[END_REF]. Three subunits have prosthetic groups. The cytochrome b subunit has two b-type hemes (b L and b H ), the cytochrome c subunit has one c-type heme (c 1 ), and the Rieske Iron Sulfur Protein subunit (ISP) has a two iron, two sulfur iron-sulfur cluster (2Fe-2S). This complex catalyzes the reduction of cytochrome c by oxidation of coenzyme Q (ubiquinone) and the concomitant translocation of four protons from the mitochondrial matrix to the intermembrane space.

QH 2 + 2 cyt c (Fe 3+ ) + 2 H + matrix  Q + 2 cyt c (Fe 2+ ) + 4 H + intermembrane
In the Q cycle process, two protons are consumed from the matrix, four protons are released into the intermembrane space, and two electrons are passed to cytochrome c [START_REF] Kramer | Q-cycle bypass reactions at the Qo site of the cytochrome bc1 (and related) complexes[END_REF]. As a result a proton gradient is formed across the membrane.

d) Complex IV or cytochrome c oxidase

The complex IV or cytochrome c oxidase is a large transmembrane protein complex found in bacteria and the mitochondrion [START_REF] Iwata | Structure at 2.8 A resolution of cytochrome c oxidase from Paracoccus denitrificans[END_REF][START_REF] Tsukihara | The whole structure of the 13-subunit oxidized cytochrome c oxidase at 2.8 A[END_REF]. This is the last enzyme in the respiratory chain of mitochondria. It receives an electron from each of four cytochrome c molecules, and transfers them to one oxygen molecule, converting molecular oxygen to two molecules of water. In the process, it translocates four protons across the membrane, helping to establish a transmembrane proton gradient that is subsequently used by ATP synthase to synthesize ATP. The electron transport chain and ATP synthesis are coupled by the proton gradient across the inner membrane. The chemiosmotic hypothesis was first proposed in 1961 by Peter D. Mitchell. The protons move back across the inner membrane through the enzyme ATP synthase (also called complex V). The flow of protons back into the matrix of the mitochondria via ATP synthase provides energy for adenosine disphosphate (ADP) to combine with inorganic phosphate to form ATP. The term proton motive force (pmf) was created from the electrochemical gradient to describe the energy that is generated by the transfer of protons or electrons across an energy transducing membrane. The equation of the electrochemical proton gradient can be simplified to:

Δµ H + = FΔψ -2,3 RT ΔpH ΔG = ΔG '+ 2.3 RT log [ATP]
~ where the F is Faraday constant (96,485 C mol -1 ); R is the molar gas constant (8.314 J mol -1 K -1 ), T is the temperature in Kelvins, and Δψ is the transmembrane electrical potential difference in volts.

ATP synthase

ATP synthase is an essential enzyme in all kinds of cells, no matter prokaryote or eukaryote, plants or animals. It catalyzes ATP synthesis from ADP and inorganic phosphate driven by a flux of protons across the membrane down the proton gradient generated by electron transport chain. ATP is the most commonly used energy form of cells from most organisms in order to achieve most of cellular functions. ATP synthase is a large protein complex sitting in the inner membrane of mitochondria with a membrane embedded section F o and a soluble section F However, in most cases ATP hydrolysis activity is a potential danger to a living cell, so ATP synthase has several regulatory mechanisms to prevent futile ATP wasting, such as the IF1 inhibition.

Classification of different types of ATPases

There are different types of ATPases found in different organisms. According to their functions, structures, localisations as well as ions that they transport, they are classified into different types.

F-ATPase is also known as F o F 1 ATP synthase, which is found in bacterial plasma membranes, in mitochondrial inner membranes, and in chloroplast thylakoid membranes. Its major function is to use the proton gradient to drive ATP synthesis by allowing the protons flux across the membrane down their electrochemical gradient.

The produced energy is then used to support cell functions. The F o domain is integral in the membrane to insure the proton transport across the membrane, whereas the F 1 domain is peripheral and contains the enzyme catalytic sites. F o F 1 ATP synthase of Saccharomyces cerevisiae is the central subject of our study. Its structure, function and catalytic mechanism will be described in following paragraphs.

V-ATPase is called vacuolar-type H + -ATPase, which is one of the most fundamental enzymes found in almost every eukaryotic cell. V-ATPase functions as ATP-dependent proton pump. It couples the energy of ATP hydrolysis to proton transport across intracellular and plasma membranes of eukaryotic cells. It plays a variety of roles for the function of many organelles [START_REF] Nelson | The cellular biology of proton-motive force generation by V-ATPases[END_REF]. 1998).

A-ATPase is called A o A 1 ATPase.
P-ATPase is also known as E1-E2 ATPase. They are found in bacteria and in a number of eukaryotic plasma membranes and organelles. And they function to transport a variety of different compounds, including many ions and phospholipids, across a membrane using ATP hydrolysis for energy. There are many different classes of P-ATPases, each of which transports a specific type of ion [START_REF] Axelsen | Evolution of substrate specificities in the P-type ATPase superfamily[END_REF]. In addition, they all appear to interconvert between at least two different conformations, denoted by E1 and E2. During their ion transport cycle, P-ATPases form phosphorylated intermediate state, which is the distinction from other classes of ATPases [START_REF] Bublitz | P-type ATPases at a glance[END_REF].

E-ATPase is a type of membrane-bound cell surface enzymes. E stands for "Extracellular". These ATPases are found in most eukaryotic cells and hydrolyse nucleotide tri-and/or diphosphates in the presence of Ca 2+ or Mg 2+ [START_REF] Plesner | Ecto-ATPases: identities and functions[END_REF].

And they play important roles in many biological processes.

F-, V-and A-ATPases are multi-subunit complexes with a similar architecture, which is one membrane embedded part and one soluble catalytic part. And they possibly use the rotary motors to achieve catalytic mechanism and ions transport.

Details will be described in F o F 1 ATP synthase structures. The P-ATPases are quite distinct in their subunit composition and in the ions they transport, and they do not appear to use a rotary motor.

Structures of FoF1 ATP synthase

In order to better understand the catalytic mechanism of this large protein complex ATP synthase, it is necessary to start with its structure. The common global structure shared by various ATP synthases is composed of two linked complexes: the soluble catalytic core F 1 ATPase complex and the membrane-embedded proton channel F o complex. Electron microscopic images in figure 4 show the similarity of the global structure of ATP synthases from chloroplast, bacteria and mitochondria.

Although The images were obtained by averaging negatively stained single particles images. a) chloroplast ATP synthase [START_REF] Bottcher | Direct indication for the existence of a double stalk in CF0F1[END_REF]; b) E. coli ATP synthase [START_REF] Wilkens | ATP synthase's second stalk comes into focus[END_REF]; c) bovine mitochondrial ATP synthase [START_REF] Karrasch | Novel features in the structure of bovine ATP synthase[END_REF]. with its F o and F 1 sectors coloured in pink and blue respectively. In addition, since the enzyme functions with a rotary mechanism, we could also distinguish the mobile part as the rotor (hatched part in figure 5), and the fixed part as the stator (figure 5). It will be described later in the following paragraphs. Panel a, topological model of Saccharomyces cerevisiae mitochondrial ATP synthase F o sector, with partially reconstructed protein structure [START_REF] Stock | Molecular architecture of the rotary motor in ATP synthase[END_REF]) (thesis of Rémy Fronzes, 2004). Panel b, the bacterial ATP synthase is illustrated as the simplest version of ATP synthases [START_REF] Yoshida | ATP synthase--a marvellous rotary engine of the cell[END_REF].

OSCP is the short form of Oligomycin Sensitivity Conferring Protein in mitochondrial ATP synthase, which is called δ subunit for bacterial and chloroplast ATP synthases. It appears to be part of the peripheral stalk that holds the F 1 subcomplex α 3 β 3 catalytic core stationary against the torque of the rotating central stalk.

Subunit 4 links the F 1 subcomplex to F o membranous part via the OSCP and related membranous proteins. Similar with OSCP, subunit 4 also stabilize the α 3 β 3 catalytic core against the rotation.

Subunit 6 (analogue of subunit a in E. coli) cooperates with subunit 9 to form the proton translocation pathway through the four indispensable residues Glu 196 , Arg 210 , Glu 219 and His 245 (numbering in E. coli, also shown in figure 7) that form the two halfchannels. In the basic structure of E. coli, it is proposed that this subunit consists of five or six transmembrane segments [START_REF] Jager | Topology of subunit a of the Escherichia coli ATP synthase[END_REF][START_REF] Long | Membrane topology of subunit a of the F1F0 ATP synthase as determined by labeling of unique cysteine residues[END_REF][START_REF] Vik | A model for the structure of subunit a of the Escherichia coli ATP synthase and its role in proton translocation[END_REF].

Subunit 9 (analogue of subunit c in bacteria, chloroplast and bovine) functions as the membranous rotor of ATP synthase. Ten subunits 9 (the stoichiometry varies from 8 to 15 among different organisms) [START_REF] Dimroth | Catalytic and mechanical cycles in F-ATP synthases. Fourth in the Cycles Review Series[END_REF][START_REF] Meier | Structural investigations of the membrane-embedded rotor ring of the F-ATPase from Clostridium paradoxum[END_REF][START_REF] Meier | A tridecameric c ring of the adenosine triphosphate (ATP) synthase from the thermoalkaliphilic Bacillus sp. strain TA2.A1 facilitates ATP synthesis at low electrochemical proton potential[END_REF][START_REF] Pogoryelov | The oligomeric state of c rings from cyanobacterial F-ATP synthases varies from 13 to 15[END_REF][START_REF] Toei | Dodecamer rotor ring defines H+/ATP ratio for ATP synthesis of prokaryotic V-ATPase from Thermus thermophilus[END_REF][START_REF] Watt | Bioenergetic cost of making an adenosine triphosphate molecule in animal mitochondria[END_REF] form an oligomeric ring that makes up the F o rotor [START_REF] Jiang | The preferred stoichiometry of c subunits in the rotary motor sector of Escherichia coli ATP synthase is 10[END_REF][START_REF] Stock | Molecular architecture of the rotary motor in ATP synthase[END_REF]. The earlier NMR study of bacterial single copy subunit c showed a stoichiometry of twelve [START_REF] Rastogi | 1H, 13C, and 15N assignments and secondary structure of the high pH form of subunit c of the F1F0 ATP synthase[END_REF]) (see figure 7). Later on, the size of bacterial c-ring was suggested to be ten [START_REF] Ballhausen | Constant c10 ring stoichiometry in the Escherichia coli ATP synthase analyzed by cross-linking[END_REF]Fillingame & Dmitriev, 2002;Fillingame et al, 2000). The flux of protons through the proton translocation channels drives the rotation of the c ring, which in turn is coupled to the rotation of the F 1 subcomplex γ subunit rotor due to the permanent binding between the γ and ε subunits of F 1 and the c ring of F o . The residue Asp 61 in E.coli (figure 7) (glutamate for other organisms) is essentially implicated in the proton translocation (described in paragraph 1.2.3.3 proton translocation). Panel A, side view of protonated subunit c monomer, at pH5 (pdb file, 1c0v) [START_REF] Girvin | Solution structure of the transmembrane H+-transporting subunit c of the F1F0 ATP synthase[END_REF]. Panel B, side view of deprotonated subunit c monomer, at pH8 (pdb file, 1c99) [START_REF] Rastogi | 1H, 13C, and 15N assignments and secondary structure of the high pH form of subunit c of the F1F0 ATP synthase[END_REF]. Panel C, representation of duodenary oligomer of subunit c (green) with subunit a (orange) (pdb file, 1c17) [START_REF] Rastogi | 1H, 13C, and 15N assignments and secondary structure of the high pH form of subunit c of the F1F0 ATP synthase[END_REF].

Subunit 8 is essential for the F o subcomplex assembly [START_REF] Devenish | The oligomycin axis of mitochondrial ATP synthase: OSCP and the proton channel[END_REF][START_REF] Marzuki | Mitochondrial H+-ATPase in mutants of Saccharomyces cerevisiae with defective subunit 8 of the enzyme complex[END_REF]. But its function is not yet very clear.

Subunit d is important for the ATP synthase function. It is a hydrophilic protein, and associated to subunits 4, h and OSCP [START_REF] Norais | ATP synthase of yeast mitochondria. Characterization of subunit d and sequence analysis of the structural gene ATP7[END_REF].

Subunit f is required for the assembly of subunits 6, 8 and 9. [START_REF] Spannagel | The subunit f of mitochondrial yeast ATP synthase--characterization of the protein and disruption of the structural gene ATP17[END_REF].

F 1 sector

F 1 sector is the soluble part of the ATP synthase, which contains the catalytic core of the enzyme. This subcomplex has been well studied in various organisms. F 1 sector of ATP synthase could generate ATP synthesis as well as ATP hydrolysis when it is attached to F o part, whereas the isolated F 1 could only hydrolyze ATP. So it is also called F 1 -ATPase. For instance, F o F 1 -ATP synthase catalyzes ATP synthesis from ADP and inorganic phosphate through its F 1 sector en presence of the proton gradient across the membrane generated by electron transport chain. When the membrane could not generate the proton gradient or the F 1 -ATPase becomes soluble detached from the F o part, F 1 -ATPase would function in the direction of ATP hydrolysis. Many studies have been done to determine the structure of F 1 -ATPase, such as bacterial F 1 -

ATPase from E. coli [START_REF] Cingolani | Structure of the ATP synthase catalytic complex (F(1)) from Escherichia coli in an autoinhibited conformation[END_REF][START_REF] Hausrath | Structural features of the gamma subunit of the Escherichia coli F(1) ATPase revealed by a 4.4-A resolution map obtained by x-ray crystallography[END_REF][START_REF] Rodgers | Structure of the gamma-epsilon complex of ATP synthase[END_REF], chloroplast F 1 -ATPase from spinach [START_REF] Groth | The structure of the chloroplast F1-ATPase at 3[END_REF], and mitochondrial F 1 -ATPase from beef heart [START_REF] Abrahams | Structure at 2.8 A resolution of F1-ATPase from bovine heart mitochondria[END_REF], rat liver [START_REF] Bianchet | The 2.8-A structure of rat liver F1-ATPase: configuration of a critical intermediate in ATP synthesis/hydrolysis[END_REF], and also from yeast S. cerevisiae [START_REF] Kabaleeswaran | Novel features of the rotary catalytic mechanism revealed in the structure of yeast F1 ATPase[END_REF][START_REF] Kabaleeswaran | Asymmetric structure of the yeast F1 ATPase in the absence of bound nucleotides[END_REF].

The common structure of F 1 -ATPase shared by many organisms contains five subunits, α, β, γ, δ and ε, with the stoichiometry of 3, 3, 1, 1 and 1 respectively [START_REF] Walker | Primary structure and subunit stoichiometry of F1-ATPase from bovine mitochondria[END_REF] (see table 1 and figure 8). Panel a, globle view of X-ray crystal structure F 1 -ATPase from Saccharomyces cerevisiae. Panel b, separated presentation of α, β, γ, δ and ε subunits [START_REF] Kabaleeswaran | Novel features of the rotary catalytic mechanism revealed in the structure of yeast F1 ATPase[END_REF]. The presented α and β subunits correspond to αDP and βDP. Images created using PyMol software, with pdb file 2hld.

α and β subunits form the catalytic core of the F 1 subcomplex with three copies of each. There is a substrate-binding site on each of the αβ interface, which is the binding site in each αβ catalytic interface and αβ non-catalytic interface. The α 3 β 3 complex forms a cylinder that surrounds the central stalk. The three pairs of α/β subunits undergo a sequence of conformational changes leading to ATP synthesis (or hydrolysis), which are induced by the rotation of γ subunit.

γ subunit forms the central shaft that connects the F o rotary motor to the F 1 catalytic core. It sequentially deforms the α 3 β 3 catalytic core by a rotary activity transmitted from the membrane-embedded rotor of subunit 9. Its two terminal extremities are inserted into the catalytic core, and its midpart forms the "foot of gamma" (name frequently used in this work, referring residues around 80-180 in yeast).

δ subunit contributes to the assembly of the protein rotor by the connection of γ subunit and subunit 9 [START_REF] Watts | The gamma subunit in the Escherichia coli ATP synthase complex (ECF1F0) extends through the stalk and contacts the c subunits of the F0 part[END_REF]. But the mitochondrial δ subunit does not play a role during enzyme catalytic activity. It is analogue of bacterial or chloroplast ε subunit.

ε subunit only exists in mitochondrial ATP synthases. It is observed that yeast depleted of this subunit could not grow in fermentative medium [START_REF] Guelin | ATP synthase of yeast mitochondria. Isolation and disruption of the ATP epsilon gene[END_REF].

Other experiments demonstrated the essential role of subunit ε in the assembly of F 1 and the incorporation of hydrophobic subunit c into the F 1 -c oligomer rotor structure of mitochondrial ATP synthase in higher eukaryotes [START_REF] Havlickova | Knockdown of F1 epsilon subunit decreases mitochondrial content of ATP synthase and leads to accumulation of subunit c[END_REF].

F o F 1 complex

Using single particle electron cryomicroscopy, the complete view of bovine [START_REF] Baker | Arrangement of subunits in intact mammalian mitochondrial ATP synthase determined by cryo-EM[END_REF][START_REF] Rubinstein | Structure of the mitochondrial ATP synthase by electron cryomicroscopy[END_REF] and yeast [START_REF] Lau | Cryo-EM structure of the yeast ATP synthase[END_REF] F o F 1 ATP synthase has been observed. None of the entire protein complex structure has been resolved either by X-ray crystallography or by NMR. Nevertheless, the protein assembly of F 1 sector into the membrane-embeded c ring has been studied. The first crystal structure model of yeast F 1 c 10 -ATP synthase was resolved at 3.9 Å. The visualization of the c ring and its close contact with γ and δ subunits suggested that they might rotate as an ensemble during catalysis [START_REF] Stock | Molecular architecture of the rotary motor in ATP synthase[END_REF]. Then the yeast F 1 c 10 -ATP synthase was revealed by the recent work of at 3.43 Å, which was the first model of MgADPinhibited state of the yeast enzyme [START_REF] Dautant | Crystal structure of the Mg.ADPinhibited state of the yeast F1c10-ATP synthase[END_REF]. Compared to bovine enzyme that has eight copies of c subunit [START_REF] Watt | Bioenergetic cost of making an adenosine triphosphate molecule in animal mitochondria[END_REF], the yeast central stalk was twisted (see figure 9). Besides, isolated partial peripheral stalk has also been resolved [START_REF] Dickson | On the structure of the stator of the mitochondrial ATP synthase[END_REF]. To date, the structure of the membranous subunit a (or subunit 6) as well as the entire complex still remain unclear, which requires more research.

Supramolecular organization of F o F 1 -ATP synthase

For many organisms including yeast, plant and mammals, mitochondrial ATP synthase has been shown to adopt oligomeric structures [START_REF] Arnold | Yeast mitochondrial F1F0-ATP synthase exists as a dimer: identification of three dimer-specific subunits[END_REF]Eubel et al, 2003;[START_REF] Krause | Active oligomeric ATP synthases in mammalian mitochondria[END_REF]. In yeast mitochondria, it has been demonstrated that ATP synthase subunits e and g are involved in the dimerization and oligomerization [START_REF] Arnold | Yeast mitochondrial F1F0-ATP synthase exists as a dimer: identification of three dimer-specific subunits[END_REF][START_REF] Paumard | The ATP synthase is involved in generating mitochondrial cristae morphology[END_REF][START_REF] Thomas | Supramolecular organization of the yeast F1Fo-ATP synthase[END_REF]. This oligomerization of ATP synthase has been suggested to determine the arrangement of mitochondrial cristae [START_REF] Arselin | The modulation in subunits e and g amounts of yeast ATP synthase modifies mitochondrial cristae morphology[END_REF][START_REF] Paumard | The ATP synthase is involved in generating mitochondrial cristae morphology[END_REF], which is the basis of mitochondrial mophology. An exemple of yeast dimeric ATP synthase observation using electron microscopy is shown in figure 10. Althrough the oligomerization of ATP synthase is shown to play an important role in the network of cristae during mitochondrial biogenesis, no evidence has been shown that the ATP synthase oligomerization has any effect on the enzyme functions. Averaged images represent six classes in which dimers exhibit various angle between two monomers.

FoF1 ATP synthase: A molecular rotary motor 1.2.3.1. Visualization of the rotation

The first direct visualization of Bacillus PS3 F 1 rotation driven by ATP was obtained sixteen years ago [START_REF] Noji | Direct observation of the rotation of F1-ATPase[END_REF]. In that experiment, bacterial subcomplex α 3 β 3 γ was immobilized on a glass surface covered by Ni-NTA via the N-terminal extremity of its β-subunits. The γ subunit was biotinylated to bind streptavindin and a fluorescently labeled actin filament, which rotated uni-directionally, counterclockwise (view from membrane side) after ATP addition (figure 11). The rotary motor model was confirmed in 1999 by another observation of c subunit (equivalent to subunit 9 in Sccahromyces cerevisiae) of F o F 1 ATP synthase rotation [START_REF] Sambongi | Mechanical rotation of the c subunit oligomer in ATP synthase (F0F1): direct observation[END_REF]. In this model (figure 12), Escherichia coli F o F 1 was immobilized on a coverslip through a His-tag linked to the N-terminus of each α subunit. A c subunit glutamine was replaced by cysteine and then biotinylated to bind streptavindin and a fluorescently labeled actin filament. After the addition of MgATP, the actin filament that was connected to the c subunits rotated. Later on, several similar experiments were carried out to show the rotation of ATP synthase more precisely, such as different steps of rotation by 120° [START_REF] Yasuda | F1-ATPase is a highly efficient molecular motor that rotates with discrete 120 degree steps[END_REF], which corresponds to the sequential ATP hydrolysis by the three β subunits. In order to detect the stepwise rotation, a smaller marker, a colloidal gold bead of 40 nm diameter was used to replace actin [START_REF] Yasuda | Resolution of distinct rotational substeps by submillisecond kinetic analysis of F1-ATPase[END_REF]. PS3 subcomplex α 3 β 3 γ was immobilized and its γ subunit was attached by the gold bead (figure 13). It was shown that one 120° rotation step consisted of roughly 90° and 30° substeps, which were suggested to be related to ATP binding and hydrolysis product (ADP, phosphate, or both) release respectively. More recently, the observation of the rotation was performed with a more sophisticated technique that visualized rotation by attaching a bead duplex to the γ shaft and simultaneously detected binding of a fluorescent ATP analog to a particular site through angle-resolved fluorescence imaging [START_REF] Nishizaka | Chemomechanical coupling in F1-ATPase revealed by simultaneous observation of nucleotide kinetics and rotation[END_REF]) (figure 14).

This work showed that the 120° rotary step were more likely subdivided into an 80° and a 40° substeps. In particular, this 80° substep was linked to the binding of one ATP molecule to one empty site, triggering the ATP hydrolysis and/or the phosphate release but not ADP release. Stepwise γ rotation has also been proved by single-molecule FRET (fluorescence resonance energy transfer). In the study of Diez and co-workers, the double-labeled E.

coli F o F 1 ATP synthase was incorporated into liposomes. And it was demonstrated that γ subunit rotated during ATP synthesis powered by proton transport, showing three distinct distances to b subunits in repeating sequences [START_REF] Diez | Protonpowered subunit rotation in single membrane-bound F0F1-ATP synthase[END_REF]. More recently, a splendid work using high-speed atomic force microscopy revealed rotary catalysis of rotorless F 1 -ATPase. In this work, isolated α 3 β 3 stator ring was shown to cyclically propagate conformational states in the counterclockwise direction, similar to rotary shaft rotation in F 1 -ATPase. It suggested the cooperative interplay between subunits in hexameric ATPases [START_REF] Uchihashi | High-speed atomic force microscopy reveals rotary catalysis of rotorless F(1)-ATPase[END_REF].

All those studies as well as some other brilliant work demonstrated the rotary mechanism of F o F 1 ATP synthase in precising the substeps of the rotation and the relative sequence of substrate binding, ATP hydrolysis and product release. In the following paragraph, I am going to introduce the rotor and stator of ATP synthase.

Rotor and stator

The rotor refers to the mobile part of the molecular motor, which is to say the subunit 9 (or c), the central axis formed by subunits γ, δ and ε in mitochondrial case, γ and ε in bacterial and chloroplast cases (see figure 5).

The rotary activity is initiated by the protomotive force which triggers the rotation of subunit 9 by the proton translocation. This rotary movement will then transmit to the asymmetric central axis (γ, δ, ε subunits or γ, ε subunits), which then deform the three catalytic sites located in β subunits, sequentially. The conformational change of the catalytic sites generates the ATP synthesis from ADP and inorganic phosphate. The transformation of chemiosmotic energy to mechanical energy is the key point of ATP synthesis, which makes the subunit 9 essential by its contribution of energetic coupling between F o and F 1 sectors.

The central axis γ subunit is essential not only for the protein complex assembly but also for the rotary procedure owing to its contact with the membrane rotor subunit 9 and asymmetric structure interacting with F 1 catalytic subunits. It plays the important role of coupling energy between the rotor and the stator.

The stator is the immobile part of F o F 1 ATP synthase. It contains three pairs of α/β subunits and all the subunits in F o sector except the c-ring (subunit 9). The crownlike α 3 β 3 subunits are fixed by the peripheral stalk, subunits 4, 6 and OSCP through the contact with OSCP (see figure 5). And the α 3 β 3 subunits catalyse ATP synthesis or hydrolysis. The subunit 6 contributes to the proton translocation (Fillingame et al, 2002) (see figure 56).

Proton translocation

The proton translocation initiates the rotation of ATP synthase. This activity requires the cooperation of the subunits 6 and 9 in yeast (a and c in E. coli, respectively). Since these two subunits are coded by the mitochondrial genes, it is difficult to perform genetic modifications. Moreover, the fact that the protein structures of the membrane-embedded subunits a and b are not yet clear adds more inconvenience of the study. Most of the studies about proton translocation were realized using the bacterial ATP synthase as model. The classic mechanism of proton translocation in bacterial subunits a and c was proposed [START_REF] Junge | ATP synthase: an electrochemical transducer with rotatory mechanics[END_REF][START_REF] Vik | A mechanism of proton translocation by F1F0 ATP synthases suggested by double mutants of the a subunit[END_REF][START_REF] Vik | A model for the structure of subunit a of the Escherichia coli ATP synthase and its role in proton translocation[END_REF], and it could be adapted for mitochondrial and sodiumdriven bacterial ATP synthases (figure 15). Panel a, model according to [START_REF] Junge | ATP synthase: an electrochemical transducer with rotatory mechanics[END_REF]. Panel b, model according to [START_REF] Vik | A model for the structure of subunit a of the Escherichia coli ATP synthase and its role in proton translocation[END_REF].

It is shown that several properties are required for the proton translocation function of ATP synthase. Firstly, an electrostatical constraint implies that protonated sites (Asp 61 ) on the c-ring are always electroneutral when facing the lipid core, whereas their facing the protein (a subunit) can be deprotonated and charged.

Secondly, the intramembranous a subunit contains two hypothetical half-channels that allow passage of protons through the membrane. The two accessible channels refer to:

the first one that extends from the cytoplasmic surface to the center of the membrane includes subunit a residues His 245 and Glu 219 ; the second one that extends from the periplasmic surface to the center of the membrane includes subunit a residues Arg 210 and Glu 196 . Thirdly, the c subunit carries out Brownian rotational fluctuations relative to a subunit with the influence of neighbouring molecules. As long as the Asp 61 of c subunit (interacting with Arg 210 of subunit a) gets protonated from protons originating from the periplasm through half channel His 245 and Glu 219 , it is electroneutral and free to rotate towards the lipid environment. Most importantly, this rotation will be driven by the pmf. And it will also be electrostatically driven, as Arg 210 of subunit a will be strongly attracted to the remaining unprotonated Asp 61 . This arrangement assures that rotation is unidirectional. When rotation occurs, a protonated Asp 61 of c subunit will move from the lipid environment into contact with subunit a and release the proton.

And the cycle continues.

The proton translocation drives the rotation of ATP synthase. And the number of c subunit monomer determines the number of proton transported per cycle.

Consequently, as the F 1 sector contains three catalytic sites and synthesizes three

Forward the mechanism of ATP synthase

ATP synthase has a mode of function that is unusual for enzymes because of its structural complexity and reaction mechanism, and this required much time and extensive studies to establish. For years, the mechanism of ATP synthase has been a

popular topic for scientists. The most detailed studies of ATP synthase concern the F 1 part and how it functions. Boyer and co-workers clarified that the enzyme functions in a very particular way. In 1993, Boyer established a sophisticated model called "Binding Change Mechanism" [START_REF] Boyer | The binding change mechanism for ATP synthase--some probabilities and possibilities[END_REF]. Later on, Walker and co-workers established the 3D structure of F 1 -ATPase from bovine heart mitochondria [START_REF] Abrahams | Structure at 2.8 A resolution of F1-ATPase from bovine heart mitochondria[END_REF].

Walker clarified the structural conditions of the enzyme's molecular machinery and thereby verified Boyer's mechanism. To award their outstanding contribution to this field, the Nobel Prize in Chemistry 1997 was divided, one half jointly to Paul D. Boyer

and John E. Walker "for their elucidation of the enzymatic mechanism underlying the synthesis of adenosine triphosphate (ATP)"; and the other half to Jens C Skou for his discovery of the enzyme Na + , K + -ATPase. At the same period, there were many other valuable studies focused on the structural and catalytic properties of ATP synthase using various approaches. All of them contribute to cumulate our knowledge on this splendid enzyme, an exceptional molecular machine. However, this journey is not finished yet. For instance, the number and mode of participation of three potential catalytic sites remain unsettled, which is still ongoing debated. And also the regulations of ATP synthases during their catalysis, such as our topic of IF1 inhibition,

are not yet clear. Anyway, the research never stops.

Binding change mechanism

According to Boyer's binding change mechanism for ATP synthesis, the three catalytic sites on the enzyme bind ADP and phosphate in sequence and then undergo a conformational change so as to make a tightly bound ATP. The sites then change conformation again to release the ATP. At any instant of catalysis, the three sites undergoing sequential conformational changes have three different conformational states (O: Open, T: Tight, L: loose). These conformational changes are accomplished by rotational catalysis driven by the rotating inner core of the enzyme, which is in turn driven by the protons crossing the mitochondrial membrane.

Most in vitro studies of the catalysis of ATP synthase trend to the reversed direction, ATP hydrolysis. Since the purification of mitochondria as well as isolated F 1 -ATPase has been well developed, experiments testing ATP hydrolysis with these materials are easier to establish. For example, with purified isolated F1-ATPase, one could manipulate more precise functional experiments and obtain more accurate results without interference of impurities. Moreover, experimentally, with liposomes it is difficult to create an artificial proton gradient that is necessary for the enzyme to catalyze ATP synthesis.

Catalytic sites occupancy: Uni-site catalysis and multi-sites catalysis

Uni-site catalysis refers to the conditions that allow only a single catalytic site to bind one ATP molecule during the ATP hydrolysis of F 1 -ATPase [START_REF] Grubmeyer | Mechanism of ATP hydrolysis by beef heart mitochondrial ATPase. Rate constants for elementary steps in catalysis at a single site[END_REF]. In such conditions, ATP hydrolysis goes very slow, with a turnover around 10 -4 s -1 [START_REF] Grubmeyer | Mechanism of ATP hydrolysis by beef heart mitochondrial ATPase. Rate constants for elementary steps in catalysis at a single site[END_REF]. Later on, other studies using nucleotide-depleted enzyme updated the turnover value to 10 -1 s -1 (Milgrom Ya & Murataliev, 1987a;Milgrom Ya & Murataliev, 1987b). This slow catalytic turnover of ATP hydrolysis was shown to be related to the slow release of hydrolyzed products, especially ADP, but not to be limited by the binding of ATP to the high affinity catalytic site [START_REF] Grubmeyer | Mechanism of ATP hydrolysis by beef heart mitochondrial ATPase. Rate constants for elementary steps in catalysis at a single site[END_REF]Milgrom Ya & Murataliev, 1987a;Milgrom Ya & Murataliev, 1987b). In addition, evidences showed that the uni-site catalysis could occur without the γ subunit rotation [START_REF] Garcia | Unisite catalysis without rotation of the gamma-epsilon domain in Escherichia coli F1-ATPase[END_REF]. The γ subunit rotation only affects ATP binding to the second or third catalytic site [START_REF] Garcia | Unisite catalysis without rotation of the gamma-epsilon domain in Escherichia coli F1-ATPase[END_REF]. Moreover, when ATP is loaded at a single catalytic site on nucleotide-depleted MF 1 , the rate of product release is accelerated by the binding of ATP at adjacent catalytic sites. This fact shows strong cooperative interactions between catalytic sites [START_REF] Milgrom | Nucleotide-depleted beef heart F1-ATPase exhibits strong positive catalytic cooperativity[END_REF]. Finally, it is shown that normal steady-state ATPase activity requires three intact catalytic sites, of which at least two are required to achieve a catalytic cooperativity [START_REF] Amano | Catalytic activities of alpha3beta3gamma complexes of F1-ATPase with 1, 2, or 3 incompetent catalytic sites[END_REF].

Multi-site occupancy has always been a controversial discussion. Some specialists believe that ATPase catalyzes the maximal ATP hydrolysis with two catalytic sites occupied (bi-site); some others stand for a tri-site model, in which the maximal turnover rates occur as long as the filling of the third site. Since they all have experimental evidence to support their hypotheses, this question still opens to discussion. Here, I am going to show some of those different voices.

Bi-site model is in agreement that all three catalytic sites participate sequentially in an equivalent manner, but emphasizes that only two of the three catalytic sites need to be simultaneously filled for rapid, steady-state ATP hydrolysis [START_REF] Boyer | Catalytic site forms and controls in ATP synthase catalysis[END_REF][START_REF] Murataliev | Interaction of mitochondrial F1-ATPase with trinitrophenyl derivatives of ATP and ADP. Participation of third catalytic site and role of Mg2+ in enzyme inactivation[END_REF]. Bi-site model is as well supported by a centrifuge filtration assay, which compared the ATP concentration dependence of the rate of ATP hydrolysis by MF1 to the ATP concentration dependence of the level of catalytic sites occupancy during steady-state catalysis [START_REF] Milgrom | Rapid hydrolysis of ATP by mitochondrial F1-ATPase correlates with the filling of the second of three catalytic sites[END_REF].

Tri-site model supporters claim that occupancy of one or two catalytic sites per F 1 molecule did not yield significant rates of hydrolysis while occupancy of all three sites yielded maximal rates [START_REF] Weber | ATP synthase: what we know about ATP hydrolysis and what we do not know about ATP synthesis[END_REF][START_REF] Weber | Bi-site catalysis in F1-ATPase: does it exist?[END_REF][START_REF] Weber | Specific placement of tryptophan in the catalytic sites of Escherichia coli F1-ATPase provides a direct probe of nucleotide binding: maximal ATP hydrolysis occurs with three sites occupied[END_REF]. The simultaneous observation of nucleotide kinetics and rotation stands by the tri-site scheme because the marked nucleotide remained bound until 240° of γ rotation or until two more ATP molecules bound occurred [START_REF] Nishizaka | Chemomechanical coupling in F1-ATPase revealed by simultaneous observation of nucleotide kinetics and rotation[END_REF].

Specific placement of tryptophan in the catalytic site was used to detect the nucleotide binding to the catalytic site. The fluorescence of this tryptophan was strongly quenched on binding of nucleotides to the catalytic sites. Based on the concentration dependency of fluorescence quenching upon ATP addition, it has been suggested that three catalytic sites must be filled for near maximal hydrolysis activity to be attained [START_REF] Dou | The alpha 3(beta Y341W)3 gamma subcomplex of the F1-ATPase from the thermophilic Bacillus PS3 fails to Formentini L, Sanchez-Arago[END_REF][START_REF] Gruber | Differentiation of catalytic sites on Escherichia coli F1ATPase by laser photoactivated labeling with [3H]-2-Azido-ATP using the mutant beta Glu381Cys:epsilonSer108Cys to identify different beta subunits by their interactions with gamma and epsilon subunits[END_REF][START_REF] Weber | Specific placement of tryptophan in the catalytic sites of Escherichia coli F1-ATPase provides a direct probe of nucleotide binding: maximal ATP hydrolysis occurs with three sites occupied[END_REF][START_REF] Weber | Cooperativity and stoichiometry of substrate binding to the catalytic sites of Escherichia coli F1-ATPase. Effects of magnesium, inhibitors, and mutation[END_REF].

non-catalytic sites

Non-catalytic sites refer to the nucleotide binding sites on α subunits. They cooperate with the catalytic sites during enzyme catalytic activity. It is shown that the nucleotide binding to the three non-catalytic sites are indispensable for ATP hydrolysis activity [START_REF] Milgrom | ATP binding at noncatalytic sites of soluble chloroplast F1-ATPase is required for expression of the enzyme activity[END_REF]. Others showed an inhibitory effect of ADP bound to these sites [START_REF] Bullough | Localization of sites modified during inactivation of the bovine heart mitochondrial F1-ATPase by quinacrine mustard using [3H]aniline as a probe[END_REF][START_REF] Pietro | Interaction between catalytic and regulatory sites of mitochondrial F1 adenosine-5'-triphosphatase as monitored by the differential effects of inhibitors and nucleotide analogues on the "hysteretic" behavior of the enzyme[END_REF][START_REF] Pietro | Hysteric" behavior and nucleotide binding sites of pig heart mitochondrial F1 adenosine 5'triphosphatase[END_REF].

Nevertheless, nucleotide binding to the non-catalytic sites seems not so important when enzyme functions as ATP synthesis [START_REF] Bald | ATP synthesis by F0F1-ATP synthase independent of noncatalytic nucleotide binding sites and insensitive to azide inhibition[END_REF].

Regulation of ATP synthase

As mentioned above, ATP synthesis is the main function of the enzyme in most organisms. However, in many species, especially many bacterial ones (mostly anaerobic), the reverse reaction of ATP hydrolysis is vitally important. When neither respiratory nor photosynthetic chains can generate pmf, ATP synthase works as a proton pump, generating pmf at the expense of ATP hydrolysis. In this way many 4) Inhibition by an additional regulatory protein IF1 in mitochondrial enzymes, which is the main subject of this work.

Many natural or synthetic molecules could also inhibit ATPase hydrolysis activity by binding to different sites of ATPase. Table 2 shows a list of identified covalent and non-covalent inhibitors of mitochondrial F 1 -ATPase [START_REF] Gledhill | Inhibition sites in F1-ATPase from bovine heart mitochondria[END_REF].

Endogenous inhibitor of ATPase, IF1

IF1 is a natural mitochondrial endogenous inhibitor, which was discovered in 1963 by Pullman and Monroy from bovine heart mitochondria [START_REF] Pullman | A Naturally Occurring Inhibitor of Mitochondrial Adenosine Triphosphatase[END_REF]. Until today, IF1 homologues have been characterized from mitochondria of yeast [START_REF] Hashimoto | Binding of intrinsic ATPase inhibitor to mitochondrial ATPase--stoichiometry of binding of nucleotides, inhibitor, and enzyme[END_REF][START_REF] Matsubara | Amino acid sequence of an intrinsic inhibitor of mitochondrial ATPase from yeast[END_REF][START_REF] Venard | Investigation of the role and mechanism of IF1 and STF1 proteins, twin inhibitory peptides which interact with the yeast mitochondrial ATP synthase[END_REF], rat [START_REF] Cintron | A protein inhibitor of the mitochondrial adenosine triphosphatase complex of rat liver. Purification and characterization[END_REF], goat heart (Di [START_REF] Pancrazio | In vitro and in vivo studies of F(0)F(1)ATP synthase regulation by inhibitor protein IF(1) in goat heart[END_REF] and plants [START_REF] Norling | Evidence for an endogenous ATPase inhibitor protein in plant mitochondria. Purification and characterization[END_REF].

Its basic inhibitory sequence is well conserved. As an inhibitor of ATPase, IF1 efficiently prevents the enzyme from hydrolyzing ATP by binding to the F 1 -ATPase.

Structures of IF1: bovine vs yeast

In bovine heart, IF1 is a small, heat-stable protein of 84 amino acids, which is encoded by nuclear DNA. It has been well studied and its 3D structure has been characterized both in solution [START_REF] Cabezon | The structure of bovine IF(1), the regulatory subunit of mitochondrial F-ATPase[END_REF] and bound to MF 1 [START_REF] Bason | Binding of the inhibitor protein IF(1) to bovine F(1)-ATPase[END_REF]Gledhill et al, 2007b). The crystal structure of isolated soluble bovine IF1 is shown in figure 17. As we can see, the major structure of IF1 is a long α helix with its residues 19 to 83 solved. Its primary sequence is well conserved, particularly over residues 14 to 47 (bovine numbering), which have been defined as the minimal inhibitory region (van Raaij et al, 1996b). Bovine IF1 has been shown to have two oligomeric states, tetramer and dimer, favoured by pH values above and below 6.5, respectively (Cabezon et al, 2000b). Dimerization of IF1 occurs in its C-terminal region, allowing the active dimeric inhibitor IF1 to bind two F 1 domains simultaneously (Cabezon et al, 2000a). At pH 8, the protein forms a tetramer through its midpart,

where the inhibitory regions are masked (Cabezon et al, 2000b). The N-terminal extremity of IF1 is not visible in the crystal structure shown in figure 17. But it was observed interacting with the central γ subunit of F 1 domain in the structure of inhibited complex (Gledhill et al, 2007a). The homologue of IF1 in yeast shares the similarity with bovine IF1, especially the well conserved minimal inhibitory sequence (see sequence alignment in figure 18). In bovine IF1 sequence, the minimal inhibitory sequence (van Raaij et al, 1996a) is underlined.

In yeast, IF1 is a smaller protein of 63 amino acids, which is encoded by nuclear DNA as well. The crystal structure of yeast IF1 bound to MF 1 was recently solved with only 1 to 36 residues visible, which is shown in figure 17. Previous study showed that yeast IF1 also has two oligomeric states, monomer or dimer [START_REF] Cabezon | Homologous and heterologous inhibitory effects of ATPase inhibitor proteins on F-ATPases[END_REF]. The monomer of yeast IF1 functions as an effective ATPase inhibitor according to the yeast IF1 oligomerization study of Tiona ANDRIANAIVOMANANJAONA as well as the crystal structure of IF1 inhibited ATPase [START_REF] Robinson | The structure of F(1)-ATPase from Saccharomyces cerevisiae inhibited by its regulatory protein IF(1)[END_REF]. But the dimeric yeast IF1 is not yet characterized. Besides, the N-terminal part of yeast IF1 is shown to stabilize the inhibited IF1-MF 1 complex but plays no role in the protein recognition step [START_REF] Andrianaivomananjaona | How the N-terminal extremity of Saccharomyces cerevisiae IF1 interacts with ATP synthase: a kinetic approach[END_REF]. In addition, it appears to exist a homologue of IF1 in yeast, which is named STF1. STF1 shows a similar ATPase inhibitory activity to IF1, but at presence of IF1, its affinity to ATPase is much lower [START_REF] Venard | Investigation of the role and mechanism of IF1 and STF1 proteins, twin inhibitory peptides which interact with the yeast mitochondrial ATP synthase[END_REF].

Two other proteins STF2 and STF3 have been proposed to modulate the activities of yeast IF1 and STF1. Their physiological characters and structures still remain unclear.

STF2 seems playing a role of stabilization during inhibition of ATPase [START_REF] Hashimoto | Simultaneous bindings of ATPase inhibitor and 9K protein to F1F0-ATPase in the presence of 15K protein in yeast mitochondria[END_REF][START_REF] Hong | ATP synthase of yeast: structural insight into the different inhibitory potencies of two regulatory peptides and identification of a new potential regulator[END_REF]. STF3 is known to be a homologue of STF2, but it has not been isolated yet. Image created by PyMol software. Pdb file, 3zia. Residues 1 to 36 are solved and shown.

Mechanism of IF1 inhibition 1.3.2.1. Uni-directional inhibitory mechanism

The inhibition of mitochondrial F o F 1 ATPase by its endogenous inhibitor IF1 is called uni-directional, for the reason that IF1 is able to inhibit mainly the ATP hydrolysis activity of the enzyme but not the ATP synthesis (Schwerzmann & Pedersen, 1986).

When the pmf across the mitochondrial inner membrane drops, ATPase starts to hydrolyze ATP where IF1 binds to the F 1 domain of ATPase and inhibits the ATP hydrolysis. As soon as the mitochondrial inner membrane gets re-energized and the proton gradient is rebuilt across the membrane, the enzyme will restart to catalyze the ATP synthesis again. At this moment, IF1 is rejected from the enzyme, so that the ATP synthesis activity is not affected by IF1 (see figure 20).

Mitochondrial-specific ATPase inhibition

IF1 is known to be a mitochondrial-specific ATPase inhibitor. It has not yet been reported IF1 existence in bacteria or chloroplasts. Besides, it was revealed that neither yeast IF1 nor bovine IF1 could inhibit E. coli ATPase [START_REF] Cabezon | Homologous and heterologous inhibitory effects of ATPase inhibitor proteins on F-ATPases[END_REF]. On the contrary, either yeast or bovine IF1 could effectively inhibit ATPases from both species.

Whereas bovine IF1 inhibits yeast F 1 -ATPase even better than yeast IF1, and yeast inhibitors are not as effective as their bovine counterpart [START_REF] Cabezon | Homologous and heterologous inhibitory effects of ATPase inhibitor proteins on F-ATPases[END_REF]. Even earlier, other studies showed that IF1 from potato mitochondria could also inhibit bovine ATPase but poorly, despite its weak homology with IF sequences from mammals and yeasts [START_REF] Polgreen | Primary structure and properties of the inhibitory protein of the mitochondrial ATPase (H(+)-ATP synthase) from potato[END_REF]. Functional experiments in our lab also showed similar results that yeast IF1 did not inhibit bacterial or chloroplast ATPase (details in paragraph 3.2.1). The given evidences drive to the most probable conclusion that IF1 inhibits specifically mitochondrial ATPases.

Other inhibitory system for bacterial and chloroplast

ATPases

Absence of IF1 regulation, bacteria and chloroplast have their own inhibitory system for ATPase hydrolysis activity, which implicates the ε subunit (equivalent to δ subunit in mitochondrial ATPases). The ε subunit was first shown to be important in bacterial ATPase regulation by [START_REF] Kuki | Functional domains of epsilon subunit of Escherichia coli H+-ATPase (F0F1)[END_REF]. Similar function was then shown in chloroplast [START_REF] Nowak | The C-terminal domain of the epsilon subunit of the chloroplast ATP synthase is not required for ATP synthesis[END_REF]. The conformational change of ε subunit was finally revealed to be the regulation system of bacteria ATPase [START_REF] Tsunoda | Large conformational changes of the epsilon subunit in the bacterial F1F0 ATP synthase provide a ratchet action to regulate this rotary motor enzyme[END_REF]) (see figure 21). With the C-terminal domain toward the F 1 part, ATP hydrolysis is inhibited and yet the enzyme is fully functional in ATP synthesis, which is similar to the IF1 uni-directional inhibition. Moreover, the ε subunit conformational change was shown to respond the proton motive force both in bacteria [START_REF] Suzuki | F0F1-ATPase/synthase is geared to the synthesis mode by conformational rearrangement of epsilon subunit in response to proton motive force and ADP/ATP balance[END_REF] and in chloroplast [START_REF] Komatsu-Takaki | Energy-dependent conformational changes in the epsilon subunit of the chloroplast ATP synthase (CF0CF1)[END_REF][START_REF] Richter | Energy-dependent changes in the conformation of the epsilon subunit of the chloroplast ATP synthase[END_REF]. Nucleotide binding also has an influence of ε subunit conformational change. FRET probe was used to optically monitor the transitions of ε subunit, which confirmed that ATP binding to catalytic site induced the contracted conformation of ε subunit while ADP favored the extended one (Feniouk et al, 2006;[START_REF] Iino | Real-time monitoring of conformational dynamics of the epsilon subunit in F1-ATPase[END_REF][START_REF] Suzuki | F0F1-ATPase/synthase is geared to the synthesis mode by conformational rearrangement of epsilon subunit in response to proton motive force and ADP/ATP balance[END_REF].

Thesis statement

In this work, our central interest is the regulation of mitochondrial ATP synthase by its endogenous inhibitor IF1 in Saccharomyces cerevisiae. Since ATP hydrolysis activity is always a potential danger to a living cell, the study of IF1 regulation could help us to better understand one efficient way to prevent futile ATP wasting, all the more to better and better reveal details about the bio-energy system created by the art of nature. At the same time, yeast is a perfect biological model, which is simple but complete, easy to manipulate but sophisticated to study. As a well-studied model, we also have access to more information, which prevents from wasting time and energy.

More precisely, in order to understand IF1 regulation system, we studied many protein crystal structures. Indeed, they provide direct visualization of ATP synthases as well as their interaction with IF1 (in some organisms). But this is not all. Knowing well IF1 binding to ATP synthase is a dynamic procedure, we could only visualize the deadend protein complex but not fully understand the inhibitor binding process. In our lab, the current work as well as some previous work made connections of several techniques, such as structure analyses, mutagenesis, enzymatic kinetics and so on, to investigate how does IF1 bind to yeast mitochondrial ATPase thereby effectively inhibit the ATP hydrolysis.

At a molecular level, we studied numerous residues in ATPase α, β and γ subunits that are most probably implicated in IF1 binding process. Target residues were generally classified into four groups. Mutagenesis was performed to modify those residues, on one hand into their non-mitochondrial counterpart to investigate IF1 mitochondrial ATPase specificity; on the other hand into glycine to weaken the protein interaction thus determine IF1 binding pathway. And of course, mutagenesis was combined to kinetic approach in order to study the effect of mutations and consequently analyze the roles played by each residue during IF1 binding and locking to ATPase. With all the results, we eventually managed to propose a binding-lockinginhibiting model for the regulation of yeast mitochondrial ATPase by IF1. Even though the problem is not 100% solved yet, our work allows the understanding to get closer to the reality. Bacteria Escherichia coli were used to amplify plasmids carrying ATPase mutations and to overexpress yeast IF1. 3 different E. coli strains with different functions were used. 1) XL1-Blue was chemical competent and was used to amplify plasmids of mutagenesis products. The transformation was made by a heat shock at 42°C. 2) DH5α was electrocompetent and was used to amplify plasmids in general. The transformation was made by an electroporation system using a Bio-Rad Gene Pulser.

Materials and Methods

3) BL21DE3 was a strain specially used for IF1 overexpression. It was deficient in two key proteases, which reduced degradation of heterologous proteins expressed in the strain. Detailed information is shown in table 4. Transformed yeasts and bacteria were grown at 28°C and 37°C respectively.

Their culture media were varied according to the selective markers. For yeast, cells were grown either on a strictly respiratory medium with the selection of respiration, or on a fermentable medium with the selection of amino acids lacked in the cell strain and carried by transformed plasmid. The composition of liquid media is described in table 5. As for solid media, 2% (m/v) of agar was added. All the media were sterilised by autoclave at 120°C for 20min under pressure. However, glucose solution of 10% (m/v) and amino acids solutions were sterilised separately, and subsequently added into culture media. Amino acids or antibiotics used to prepare culture media are indicated in table 6.

Table 5. Description of cell culture media. Table 6. Description of amino acids, bases and antibiotics.

Plasmid vectors and protein modification

Gene encoding different mitochondrial ATPase subunits or IF1 were replicated and inserted in different plasmid vectors (see table 7). Mutations were made on basis of these plasmid constructions using site-directed mutagenesis. In yeast mitochondrial ATPase, mutations in α, β, and γ subunits were constructed and studied.

The plasmid with ATP1 gene was obtained by modifying the plasmid pFL61 [START_REF] Minet | Complementation of Saccharomyces cerevisiae auxotrophic mutants by Arabidopsis thaliana cDNAs[END_REF] as following description. First, the 2 micron replication origin was replaced by the ARS/CEN replication origin. Then, gene encoding α subunit was amplified by polymerase chain reaction (PCR). The PCR fragment was ligated into a centromeric plasmid between 5' promotor and 3' terminator PGK, leading to pVC2/ATP1, created by Dr. Vincent Corvest. Two groups of mutations were made by us in different regions of α subunit (locations see table 8).

Gene encoding β subunit was amplified by polymerase chain reaction. The PCR fragment was ligated into a centromeric plasmid, pRS313. A His10-tag codon was inserted between the signal peptide sequence and the mature β subunit sequence by site-directed mutagenesis. The same as α subunit, different regions of β subunit were mutated subsequently (locations see table 8).

Modifications in γ subunit were performed in Bordeaux, by Dr. Emmanuel

Tetaud. Gene encoding γ subunit was replicated using PCR and then ligated into plasmid vector pES425#1 (Doron Rapaport). All mutants of γ subunit were obtained by transforming S. cerevisiae cells with pES425. Transformed cells were subsequently deleted for ATP3 gene with the ATP3 deletion cassette obtained by PCR amplification of pUG6 containing KanMX4 module [START_REF] Wach | New heterologous modules for classical or PCR-based gene disruptions in Saccharomyces cerevisiae[END_REF].

Gene encoding yeast IF1, INH1, was replicated and inserted into plasmid vector pET30a offered by Dr. Marie-France Giraud (Bordeaux). A protein fusion including a His-tag and an enterokinase cleavage site was added in front of INH1 sequence in order to facilitate IF1 purification. The whole insert was overexpressed in E.coli. The protein fusion was removed using enterokinase during purification [START_REF] Andrianaivomananjaona | How the N-terminal extremity of Saccharomyces cerevisiae IF1 interacts with ATP synthase: a kinetic approach[END_REF]. Yeast IF1 "wild type" produced in this work differed from the natural WT in two points: Phe28 was replaced by Trp to enable spectrophotometric detection of the protein at 280 nm; the first residue (Ser) was replaced by the triplet Ala-Met-Ala, which was found to improve the purification and the stability of the peptide. None of these modifications altered the binding properties of the inhibitory peptide. According to QuikChange Site-Directed Mutagenesis Kits.

Bacteria and Yeast cells transformations

Bacteria transformation with a plasmid vector carrying WT or mutation information was performed using two methods: Heat shock at 42°C for chemical competent cells as XL1-Blue, or Electroporation with a Bio-Rad Gene Pulser for electrocompetent cells as DH5α and BL21(DE3). Transformed cells were incubated at 37°C with antibiotic selection. The harvest of selected cells was then used to extract DNA for further use like yeast transformation and protein overexpression (figure 23). Yeast transformation with a plasmid vector carrying WT or mutation information was performed using lithium acetate treatment [START_REF] Gietz | Studies on the transformation of intact yeast cells by the LiAc/SS-DNA/PEG procedure[END_REF]. Transformed cells were selected using SD medium lacked some certain amino acid, which was complemented by transformed plasmid expression. Selected cells were grown on YLac medium at 30°C to verify the respiration function. Growth time varied between mutants. The most frequently used yeast strain was S. cerevisiae W303-1A

∆ATP1∆ATP2. To achieve one final mutated product, two transformations were carried out introducing 2 plasmids coding for ATP1 and ATP2. Each step was examined by a group of selective media, including negative control of S. cerevisiae W303-1A ∆ATP1 or S. cerevisiae W303-1A ∆ATP2 on strict respiratory medium (see table 10).

Table 10. Yeast (S. cerevisiae W303-1A ∆ATP1∆ATP2) transformation Selections.

DNA extraction and quantification

Plasmids carrying mutations were amplified in E. coli and extracted and purified using QIAprep Spin Miniprep Kit. Plasmid purification followed a simple bind-washelute procedure. First, bacterial cultures were lysed and the lysates were cleared by centrifugation. The cleared lysates were then applied to the QIAprep column where plasmid DNA adsorbed to the silica membrane. Impurities were washed away and pure DNA was eluted in a small volume of elution buffer or water.

Purified plasmid quantification was then estimated with a spectrophotometer at 260nm. 1 OD indicates about 50 μg/mL double-stranded DNA.

Preparation of yeast mitochondria (WT & mutants)

Transformed yeast cells were grown on the strictly respiratory medium YLac with In the meantime of yeast cell wall digestion (average 150 min), the cell membrane was broken by osmotic pressure. The target particle mitochondrion was then released from yeast cell. Following series of differential centrifugations, mitochondria were finally purified from yeast cells [START_REF] Venard | Investigation of the role and mechanism of IF1 and STF1 proteins, twin inhibitory peptides which interact with the yeast mitochondrial ATP synthase[END_REF]. The final product was formed into mitochondria beads in liquid nitrogen with the help of a syringe. Each bead contained about 10µL mitochondria. All the purified mitochondria were conserved in liquid nitrogen for further study.

Sub-mitochondrial particles devoid of IF1 were prepared by sonication in TSE ( 20mM Tris-SO4, 200 µM EDTA, pH 8.5) as previously [START_REF] Venard | Investigation of the role and mechanism of IF1 and STF1 proteins, twin inhibitory peptides which interact with the yeast mitochondrial ATP synthase[END_REF], except that after endogenous IF1 release (4°C, overnight) they were centrifuged for 20 min (8000 g, 4°C). The supernatant was then centrifuged for 40 min (100,000 g, 4°C), and the pellet was resuspended into a small volume (100-200 µl) of TSE, then kept on ice before use.

Production of yeast IF1

His-tagged yeast IF1 was overexpressed in E. coli BL21(DE3) at 37°C during 3 hours. By following the OD 600nm, we estimated the overexpression level. Cells were lysed and the peptide was purified using a Ni-NTA column (Andrianaivomananjaona et al, 2011).

Kinetic measurement

Continuous monitoring of ATP hydrolysis by SMP coupled to NADH oxidation was carried out spectrophotometrically as described [START_REF] Andrianaivomananjaona | How the N-terminal extremity of Saccharomyces cerevisiae IF1 interacts with ATP synthase: a kinetic approach[END_REF].

We used the classic ATP regenerating system demonstrated in figure 25 below. The spectrophotometric recording was fitted to the following function corresponding to a monoexponential decay of the ATPase activity:

y(t)=V(I) t +[(V(0)-V(I)) /k app ] [1-exp(-k app t) ]+ y 0 Eqn. ( 1
)
where y(t) is the absorbance at time t, and y0 the absorbance at zero time defined as the time of IF1 addition. V(0) is the constant rate of absorbance variation before IF1 addition in absorbance units per second (proportional to the initial ATPase activity), V(I) the final rate of absorbance variation after IF1 addition (proportional to the final ATPase activity), and k app the apparent inhibition rate constant in s -1 . The obtained k app value was plotted as a function of the inhibitor concentration [I] to determine the rate constants k on (in M -1 s -1 ) and k off (in s -1 ) according to:

k app = k on [I] + k off Eqn. (2)
The relation between the V(I)/V(0) ratio and the inhibitor concentration was fitted to the following function:

V(I)/V(0) = v r + (1-v r )/(1+ [I]/K d ) Eqn. ( 3
)
where v r is the inhibitor-insensitive fraction of V(0) (always lower than 5%).

Theoretically, K d should be equal to the k off /k on ratio. k off was also directly calculated using the following linear relationship between 1/k app and V(I)/V(0), drawn from Eqns.

(1) and ( 3):

V(I)/V(0) = v r + (1-v r ) k off / k app Eqn. ( 4
)
In all of the experiments, the inhibitor concentration was much higher than the enzyme concentration. Therefore the total and free concentrations of inhibitor could be considered identical and constant during the kinetics of inhibition. One experiment consisted in a set of at least ten kinetics obtained with different IF1 concentrations.

Chapter 3. Results and Discussions

Results and Discussions

Analyses of published X-ray crystallographic structures of F 1 -ATPase

In the protein data bank, we can find a lot of valuable studies about ATPase X-Ray diffractions. Those X-ray crystallographic structures give access to further studies of their functions and mechanisms. In this work, analyses of published X-ray crystallographic structures of F 1 -ATPase helped us to visualize possible contacts between protein subunits at an amino acid level. This was also one important point of our mutation choices. In this chapter, I am going to show our analyses of bovine and yeast crystal structures, images and measurements.

Bos taurus F 1 -ATPase crystal structures, with or without IF1

Bovine mitochondrial F 1 -ATPase has been widely studied. 66% of the published radiocrystallographic F 1 -ATPase structures belong to Bos taurus. The X-ray diffraction varies from a large resolution over 3 Å to 1.9 Å. The following structures are models of bovine mitochondrial F 1 -ATPase with and without IF1 bound corresponding to pdb files 2v7q and 1e79 respectively [START_REF] Gibbons | The structure of the central stalk in bovine F(1)-ATPase at 2.4 A resolution[END_REF]Gledhill et al, 2007a).

Bovine mitochondrial F 1 -ATPase consists of the crown-like catalytic core, 3 pairs of α/β subunits (stator), the central shaft gamma subunit, and delta, epsilon subunits These interfaces are named (αβ)TP, (αβ)DP and (αβ)E. This nomenclature was given according to the catalytic nucleotide occupancy (ATP analogue, ADP or empty) in the first published structure [START_REF] Abrahams | Structure at 2.8 A resolution of F1-ATPase from bovine heart mitochondria[END_REF]. And it refers more generally to the rotor orientations even in the absence of nucleotides [START_REF] Kabaleeswaran | Asymmetric structure of the yeast F1 ATPase in the absence of bound nucleotides[END_REF]. Side views of the enzyme (a, b) show the (αβ)DP catalytic interface of bovine F 1 -ATPase, as well as IF1 inserting site. In most of IF1-free bovine crystals (e.g. pdb files 1bmf, 1e79

and 2jdi for F 1 -ATPase, 2xnd for C 8 -F 1 -ATPase), F 1 -ATPases have similar conformations [START_REF] Abrahams | Structure at 2.8 A resolution of F1-ATPase from bovine heart mitochondria[END_REF][START_REF] Bowler | Ground state structure of F1-ATPase from bovine heart mitochondria at 1.9 A resolution[END_REF][START_REF] Gibbons | The structure of the central stalk in bovine F(1)-ATPase at 2.4 A resolution[END_REF][START_REF] Watt | Bioenergetic cost of making an adenosine triphosphate molecule in animal mitochondria[END_REF]. In the inhibited complex, IF1 midpart is inserted in the (αβ)DP catalytic interface. Its Nterminal part mainly interacts with the central axis of γ subunit, and also with αE subunit. The C-terminal part is truncated. IF1 containing residues 1-60 was solved only with residues 8-50 (Gledhill et al, 2007a). The minimal inhibitory sequence 14-47 (van Raaij et al, 1996b) is included in the visible part.

Bovine F 1 -ATPase crystal structure used to be the most similar and comparable reference to our model yeast, before the recently crystallised yeast IF1 inhibited F 1 -ATPase coming out in March 2013 [START_REF] Robinson | The structure of F(1)-ATPase from Saccharomyces cerevisiae inhibited by its regulatory protein IF(1)[END_REF]. Therefore, the basic structural analysis and site-directed mutagenesis in this work was carried out with help of bovine crystal structures and sequence alignment of bovine and yeast ATP synthases. In the zoomed figure of IF1 binding region (figure 28), target residues in αDP, βDP and γ subunits of F 1 -ATPase are highlighted in sphere both in IF1-free (a) and IF1-bound (b) structures. IF1 is presented in white ribbon, with its side chains. IF1 binding site is well visualized, as well as the protein conformational changes before and after IF1 binding (see below). Our target residues in αDP, βDP subunits around IF1 are mainly classified in four groups according to their positions with respect to the foot of γ subunit. Classification and mutations of the four groups in this work will be described in detail in yeast structural analysis. In αDP subunit (figure 28), a and b, lines and spheres in green), the first group contains amino acids E355, Y397, R398, V400 and Q416 shown on top left in limon green. In βDP subunit, the second group of amino acids D380, S383, D471 and A474 is shown on top right in salmon red. The two groups of residues locates inside the crevice of (αβ)DP catalytic interface, remote from γ subunit. They were selected on one hand because of their close distance to IF1, on the other hand considering their potential importance for the specific sensitivity of mitochondrial F 1 -ATPase to IF1, which will be developed in the following paragraph about IF1 mitochondrial specificity.

Seeing the conformational change after IF1 binding, we noticed the third group of residues 407 GSDLDAAT 414 in αDP subunit. This group of residues forms a loop neighbouring γ subunit. In the IF1-inhibited structure, we observed that the loop 407 GSDLDAAT 414 bent towards the foot of γ subunit and got in contact with γ 114 SILHR 118 residues (note that only 410 LDAAT 414 are visible in IF1-bound crystal); it was not observed in IF1-free structure. Since the γ neighbouring group 407 GSDLDAAT 414 is relatively far from IF1 and the conformational change occurs between F 1 -ATPase subunits, it seems that this group might play a role in IF1 stabilization rather than recognition. The last group refers to the loop 394 DELSEED 400 in βDP subunit. It also has a contact with γ subunit (e.g. R133 not highlighted in figure 28), but independent of IF1 binding. Group A and B contain selected residues from αDP, βDP subunits which are remote from the foot of γ subunit. Group A consists of αDP-E357, Y399, R400, V402 and Q418; whereas group B consists of βDP-T380, S383, E471, and A474. The two groups of residues locate in the catalytic interface facing IF1, which caught our first attention. Furthermore, among all the amino acid around IF1, those were selected considering their potential importance for the specific sensitivity of mitochondrial F 1 -ATPase to IF1. With the help of sequence alignment between a large variety of species (see paragraph 3.1.3 figure 31 and 32), we found that around IF1 binding area some particular amino acids were highly conserved in mitochondrial ATP synthases but quite different in non-mitochondrial ATP synthases, such as our group A and B. This observation was linked to the IF1 inhibition test in vitro, which showed that IF1 from any species could inhibit other mitochondrial ATPases but had no effect to bacterial or chloroplast ATPases [START_REF] Cabezon | Homologous and heterologous inhibitory effects of ATPase inhibitor proteins on F-ATPases[END_REF]. Experiments in our lab also confirmed this observation (shown in figure 36), which will be discussed in paragraph 3.2.1.

Saccharomyces cerevisiae

Therefore, site-directed mutagenesis was performed to mutate residues in group A and B into their non-mitochondrial counterparts (details in 3.2.1). Group A, αDP-E357D, Y399F, R400A, V402L and Q418N; Group B, βDP-T380R, S383E, E471K, and A474E. Kinetic studies on the effect of mutations were then carried on.

Group C and D are γ subunit neighbouring residues selected from αDP, βDP subunits. Group C is a loop with αDP-409 GSDLDAST 416 , whereas Group D consists of βDP-394 DELSEQD 400 . They are both located around IF1 at first place, and also very close to the foot of γ subunit. Group C has been observed being relatively close and getting contact with γ 116 MQLL 119 with IF1 bound (Figure 30). On one hand, this α-γ contact only appears with IF1 bound in bovine case, which makes this group of residues interesting in a sense of link with IF1 binding process. On the other hand, it is difficult to measure and compare their distance precisely in yeast case since there are two residues missing (γ-Q117, γ-L118). But with the visible residues, such as γ-M116, the measurements suggest that the α-γ contact exists all the time in yeast case. Therefore, these residues in group C were mutated gradually into glycine in order to reduce the steric hindrance. Group D has been widely studied. It is known as β-DELSEED motif in most species, and it periodically interacts with γ subunit during catalytic turnover [START_REF] Duncan | Rotation of subunits during catalysis by Escherichia coli Fl-ATPase[END_REF]. It is revealed involving in coupling catalysis to γ subunit rotation [START_REF] Hara | The role of the DELSEED motif of the beta subunit in rotation of F1-ATPase[END_REF][START_REF] Mnatsakanyan | The role of the betaDELSEED-loop of ATP synthase[END_REF][START_REF] Tanigawara | Role of the DELSEED loop in torque transmission of F1-ATPase[END_REF]. It has also been proposed to play a role in the inhibitory effect of the bacterial regulatory ε subunit [START_REF] Hara | The role of the betaDELSEED motif of F1-ATPase: propagation of the inhibitory effect of the epsilon subunit[END_REF], which is the counterpart of mitochondrial δ subunit. Moreover, it has a close distance with IF1 in the inhibited complex. With the same consideration as group C, glycine substitutions were made for group D. Details in mutations of both group C and D will be discussed later.

Comparing the structures with or without IF1, we could see not only the IF1 binding site, but also the conformational change of the protein complex. However, the crystal structure of the inhibited F 1 -ATPase shows only the dead-end state of the complex. The initial recognition step between F 1 -ATPase and IF1 remains unknown.

The limit of structure studies would be overcome by the combination of mutagenesis and kinetic approach, which we will discuss in following paragraphs.

Sequence alignment on α and β subunits of mitochondrial and non-mitochondrial ATP synthases

Sequence alignments on ATP synthase α and β subunits between different species are presented in figure 31 and 32. Sequences containing selected residues are shown with different colours representing conservation degrees. F 1 F o ATP synthases from either mitochondrial or non-mitochondrial families share a number of common sequences that assure their basic functions in common. At the same time, some highly conserved residues are found in mitochondrial ATP synthases. In this work, we are interested in residues highly conserved only in mitochondrial family that are related to the interaction with IF1, such as group A and B described above. In addition, our groups C and D are also very well conserved, not only in mitochondrial family but also in some non-mitochondrial species (details shown in figure 31 and32). The similarity of crucial sequences shared by ATP synthases from different species allows the comparison and discussion of our work and previous studies in the same domain.

Moreover, by means of sequence alignment, we confirmed the compatibility between bovine and yeast structures in our work.

Kinetic parameters

Kinetic approach is the method that we used in this work to investigate IF1 The rate constant of association k on is related to the IF1 recognition step, whereas the kinetic constants of dissociation, K d and k off , are inversely related to the stability of the inhibited complex. Figure 33 shows one example of determination of these constants from experimental data. The residual activity observed in kinetic experiments which refers to the ATP hydrolysis activity resisting to IF1 inhibition is shown in figure 33 as v r . This residual activity was observed especially in noncentrifuged SMP, which will be discussed in paragraph 3.1.5 SMP centrifugation. It has been shown that the measured association rate constant k on of IF1 depends on MgATP concentration [START_REF] Ya | An ATP dependence of mitochondrial F1-ATPase inactivation by the natural inhibitor protein agrees with the alternating-site binding-change mechanism[END_REF], because it is actually modulated by the nucleotide occupancy and the catalytic turnover of F 1 -ATPase [START_REF] Corvest | Insight into the bind-lock mechanism of the yeast mitochondrial ATP synthase inhibitory peptide[END_REF][START_REF] Corvest | The binding mechanism of the yeast F1-ATPase inhibitory peptide: role of catalytic intermediates and enzyme turnover[END_REF]. As shown in figure 34 panel a, k app for IF1 binding increases with MgATP concentration and also with the filling of two catalytic sites. It reaches a peak when enzymes have a competition of two catalytic sites occupied and three sites occupied, and IF1 locking is more favoured than its release. When ATPases have all three sites occupied, their ATP hydrolysis achieves the maximal level [START_REF] Weber | Specific tryptophan substitution in catalytic sites of Escherichia coli F1-ATPase allows differentiation between bound substrate ATP and product ADP in steady-state catalysis[END_REF], whereas IF1 binding rate slightly decreases and reaches an equilibrium plateau where it represents the real rate binding constant. A similar preliminary experiment testing IF1 inhibition on function of MgATP concentration was performed using yeast SMP WT in this work (figure 34, panel b). We observed the same IF1 binding feature.

So these results helped us to fix our experimental condition for MgATP concentration at 1 mM, with which the k on value reaches the plateau. For the k off value, it used to be estimated only by the K d k on product as described in previous studies [START_REF] Andrianaivomananjaona | How the N-terminal extremity of Saccharomyces cerevisiae IF1 interacts with ATP synthase: a kinetic approach[END_REF][START_REF] Bason | Binding of the inhibitor protein IF(1) to bovine F(1)-ATPase[END_REF]Robinson et al, 2013). However, we defined in this work the k off value by directly correlating k app to the residual activity at equilibrium (see Materials and methods,Eqn. 4). This method of k off determination turns out to be insensitive to possible uncertainties on IF1 concentrations. For all the mutants we investigated, the k off values were calculated in both ways and compared, so that the results would be more reliable.

SMP centrifugation

In order to carry out the kinetic approach, mitochondria were sonicated into SMP. The inner membrane would enclose in a way that statistically half materials could turn inside out, so that the ATP synthase could be exposed to the environment and are accessible to the inhibitor. At the same time, SMP were incubated in the alkaline buffer (pH 8.5) overnight at 4°C in order to facilitate the release of endogenous IF1. In the previous studies, SMP were directly used at this step. Experimental condition of most kinetics is at pH 6.5, 25°C except for a few experiments with indications. Since the SMP injection in the measuring spectroscopic cuvette is extremely small volume (2.5 to 5 µL comparing to the total volume 1mL), the effect of aliquot pH as well as the contaminant endogenous IF1 are negligible. However, we always observed some residual activities of ATP hydrolysis. For instance, in figure 35-b1, the ATP hydrolysis activity of non-centrifuged SMP (-□-) kept always some certain resistance to IF1 inhibition even with a saturating IF1 concentration and long enough operating time (from 30 to 120 min for some single experiments). This observation of residual activity of ATP hydrolysis could be due to the enzyme partial resistance to IF1 inhibition, which could be important for IF1 binding mechanism. It could also be due to the impurity of SMP samples, partially degradation of the enzyme or the miss enclosure of SMP with enzyme wrapping inside, etc. Therefore, in this study we added two extra centrifugations before applying the SMP. One first centrifugation of SMP sample was at low speed (8000xg, 4°C) in order to eliminate big impure elements such as degraded membranes. One second centrifugation of the supernatant was at high speed (100,000xg, 4°C) in order to eliminate small contaminant elements such as endogenous IF1, or the membrane dissociated F 1 -ATPase. We improved the SMP purification with these two steps of centrifugation expecting minimizing the impuritycaused residual activity. Results show that centrifuged SMP, both from WT and mutant . α 409 GS---AST 416

, have a lower residual activity of ATP hydrolysis. In the case of non-centrifuged SMP, the example of the mutant α 409 GS---AST 416 reached 19% whereas the centrifugation decreased the residual to 5.8%. The SMP WT also had an important decrease of residual activity from 7.6% to 1.6% after the centrifugation. Same phenomenon was observed in all the mutants. At high concentration of IF1, ATP hydrolysis was inhibited more completely with centrifuged SMP, which is to say the residual activity stays between 1% to 10%. As a result, the residual activity is considered to be an artifact.

In addition, the k on increased about 25% for both WT and mutant α 409 GS---AST 416 , after centrifugation. The increase stays in a reasonable range. The same type of slight increase of k on was observed with almost all the mutants. It could be simply variation of individual experiments. It could also be related to the residual activity. On presence of the residual activity, it gave impression that it took more time for IF1 to inhibit the enzyme, which could be a possible cause of the slightly lower k on .

Or, if the centrifugation of SMP has an effect on k on , it is probably due to the elimination of the impurity of the sample including partially degraded ATPases, so that IF1 binding becomes more efficient. In the case of k off values, the given examples showed increases of different level. But for the rest of mutants in this work, the modifications of k off seem more random, which is to say that the increase or decrease of k off (as well as none changed cases) do not follow one same logic. However, with the centrifuged SMP, we have done big amounts of kinetic experiments for each mutant and WT, among which slight variations of kinetic parameters always existed even with the same preparation of SMP sample. As a matter of fact, all the data showed relatively reproducible results, which were not far away from non-centrifuged ones (except for the residual activities). We consider that the minor variation of k on , k off values after additional SMP centrifugation do not affect the quality of our functional experiments.

Finally, since this work, we improved our protocol of SMP preparation by adding two extra centrifugations before doing kinetic experiments. The centrifugation improved effectively the experimental conditions of IF1 inhibition. All the data shown in this work were obtained by centrifuged SMP.

Specificity of mitochondrial ATPase inhibition by IF1

Original study of IF1 specificity

Studies of ATP synthase specificity to its inhibitor at a molecular level have been published. It has been shown that some ATP synthase inhibitors specificity depends on one or a group of critical residues, which are in charge of the molecular recognition of their inhibitors. Modifications of these residues could effectively turn enzyme insensitive of their inhibitors. For instance, the aurovertin sensitivity of mitochondrial and E. coli F 1 -ATPases is due to a single residue of β subunit, β-R398 [START_REF] Lee | Identification of a mutation in Escherichia coli F1-ATPase beta-subunit conferring resistance to aurovertin[END_REF].

Structural study of aurovertin B inhibited bovine F 1 -ATPase showed that aurovertin interacted with β-R412 (van Raaij et al, 1996a), the homologue of E. coli β-R398.

Another good example is tentoxin. The tentoxin sensitivity of chloroplast and PS3 bacillus F 1 -ATPase [START_REF] Santolini | An insight into the mechanism of inhibition and reactivation of the F(1)-ATPases by tentoxin[END_REF] is owing to residue 83 of the β subunit and a few residues of α subunits [START_REF] Avni | Tentoxin sensitivity of chloroplasts determined by codon 83 of beta subunit of proton-ATPase[END_REF][START_REF] Tucker | Role of the ATP synthase alpha-subunit in conferring sensitivity to tentoxin[END_REF]. For instance, the sequence SRLIESP containing residues α-S127 to α-P133 in spinach chloroplasts, and the sequence TRPIESR containing α-T126 to α-R132 in PS3 bacillus are shown to play a role in tentoxin sensitivity.

IF1 is a mitochondrial F 1 -ATPase specific inhibitor as described in introduction.

IF1 from different species could inhibit, in vitro, any F 1 -ATPase from mitochondrial family [START_REF] Cabezon | Homologous and heterologous inhibitory effects of ATPase inhibitor proteins on F-ATPases[END_REF], but not those from bacteria or chloroplast which have their own inhibition systems [START_REF] Cingolani | Structure of the ATP synthase catalytic complex (F(1)) from Escherichia coli in an autoinhibited conformation[END_REF][START_REF] Tsunoda | Large conformational changes of the epsilon subunit in the bacterial F1F0 ATP synthase provide a ratchet action to regulate this rotary motor enzyme[END_REF]. In mitochondrial F 1 -ATPase, a similar system could explain IF1 specificity. As a matter of fact, kinetic experiments in our lab confirmed the IF1 specificity by adding a large concentration of purified yeast IF1 during ATP hydrolysis of bacterial and chloroplast F 1 -ATPases, which were not inhibited at all, whereas 50 times less IF1 inhibited yeast mitochondrial F 1 -ATPase perfectly under the same condition (figure 36). Conditions are as described in Material and Methods, pH6.5, MgATP 1mM. Bacterial and chloroplast F 1 -ATPases were purified as described in previous study [START_REF] Santolini | An insight into the mechanism of inhibition and reactivation of the F(1)-ATPases by tentoxin[END_REF]) [START_REF] Santolini | An insight into the mechanism of inhibition and reactivation of the F(1)-ATPases by tentoxin[END_REF]. ATP hydrolysis was monitored by the decrease of absorbance at 340nm. Yeast IF1 injections are indicated by arrows. a) 10 nM PS3 bacillus F 1 -ATPase (TF 1 ) followed by injection of 5 µM yeast IF1, at 50°C; b) 1 nM Saccharomyces cerevisiae F 1 -ATPase (MF 1 ) followed by injection of 0.1 µM yeast IF1, at 25°C; c) 2 nM Spinacia oleracea chloroplast F 1 -ATPase devoid of ε subunit (CF1-ε) and pre-treated with 5 mM DTT, followed by injection of 5 µM yeast IF1, at 25°C.

Several years ago, in our laboratory Vincent Corvest and Yuan Luo started this project about IF1 specificity. F 1 -ATPases from different species were compared using sequence alignment. Residues highly conserved in mitochondrial family were found (figure [START_REF] Duncan | Rotation of subunits during catalysis by Escherichia coli Fl-ATPase[END_REF][START_REF] Hara | The role of the DELSEED motif of the β subunit in rotation of F 1 -ATPase[END_REF]. After structural analyses, four residues located in β subunit close to IF1

were selected and mutated into their non-mitochondrial counterpart. Two β-subunit residues (T380, S383) were mutated into the residues present in almost chloroplast sequences and in a number of bacterial sequences. βE471 and βA474, located in a region poorly conserved in the non-mitochondrial world, were respectively mutated into their E.coli and chloroplast homologues. Notice that by that time, crystal structure of IF1 inhibited yeast F 1 -ATPase was not resolved yet. Hence most structural analyses were effectuated with its homologue bovine structures, and they were re-examined in the recently published yeast IF1 inhibited F 1 -ATPase crystal structure. Selected residues and their mutations are shown in table 11.

Table 11. Residues in β subunit selected for IF1 specificity study.

Selected residues located in F 1 -ATPase β subunit, from bovine and yeast, are shown in the table.

Mutations of selected amino acids in yeast were made using site-directed mutagenesis. Distance between target residues and closest IF1 residues were measured using published bovine (pdb file: 2v7q)

and yeast (pdb file: 3zia) IF1 inhibited F 1 -ATPase crystal structures.

Figure 37 shows locations of selected residues in F 1 -ATPase β subunit investigated for IF1 specificity. In bovine structure (figure 37a), IF1 8-50 amino acids were resolved. Measurements of distance between selected residues and IF1 are

shown to be close enough to have a possible interaction. After the yeast IF1 inhibited F 1 -ATPase published (figure 37b), we re-examined the distance and compared to their bovine homologue. The distances remained relatively close except for that yeast IF1 had only 1-36 amino acids resolved, so that IF1 closest residues to β-E471 and β-A474

were not visible. With the same thinking, Tiona Andrianaivomananjaona continued the project and constructed mutations in α subunit. Selected residues in yeast F 1 -ATPase α subunit are shown in figure 38 with measurements of their closest distance to IF1 (see also table 12).

Yeast IF1

α-E357 IF1 is shown in helix, white ribbon with its side chain in sticks. Selected residues located in F 1 -ATPase α subunit are shown in green sticks. Their closest IF1 residues are highlighted in blue, and the distances between them are measured and shown, see also in table 12. Yeast IF1 with 1-36 amino acids solved corresponds to pdb file 3zia. Image created using PyMol software.

IF1-K19 IF1-R30 α-Y399 α-R400 α-Q418 α-V402 Yeast IF1 α-E357 IF1-K19 IF1-R30 α-Y399 α-R400 α-Q418 α-V402
Table 12. Residues in α subunit selected for IF1 specificity study.

Selected residues located in F 1 -ATPase α subunit, from bovine and yeast, are shown in the table.

Mutations of selected amino acids in yeast were made using site-directed mutagenesis. Distance between target residues and closest IF1 residues were measured using published bovine (pdb file: 2v7q) and yeast (pdb file: 3zia) IF1 inhibited F 1 -ATPase crystal structures.

Effect of mutations in α and β subunit: investigation of IF1 specificity

As described above, preliminary kinetic studies were started by Vincent Corvest and Yuan Luo to study wild type and mutants of yeast F 1 -ATPase of their ATP hydrolysis inhibition by IF1 at different pH. The study of IF1 inhibition characterized the binding and release of inhibitor from the complex. We continued the study of these mutations in α and β subunit, which were regrouped as following (known as group A and B in the Our data show that no mutation abolished IF1 inhibition. At a saturating concentration of IF1, such as 100nM indicated in figure 39, it inhibited both WT and mutants ATP hydrolysis almost 100%. Mutant α-E357D-Y399F-R400A-V402L-Q418N and β-T380R-S383E showed similar inhibition as WT (figure b,c), where the inhibition occurred immediately and effectively after IF1 injection. In the case of β-E471K-A474E and β-T380R-S383E-E471K-A474E (figure 39-d, e), mutations resulted in slowing down the inhibition. These observations are very interesting for studying IF1 inhibition process, more complete study and further discussion will be done in paragraph 3.3. However, talking about IF1 specificity study here, all the mutants maintain the sensitivity to IF1.

Discussion

In yeast SMP, with a saturating concentration of IF1 (100 nM), all mutants of F 1 -ATPase were totally inhibited. The results suggest that none of the selected residues from α or β subunit are in charge of IF1 specificity to mitochondrial ATPase. The study of IF1 specificity still remains a big question. Our hypothesis of specific recognition in molecular level between IF1 and F 1 -ATPase requires more investigation in other residues. Since the crystal structures of IF1 inhibited complex show only the final state of the inhibition, it is hard to imagine the whole enzyme-inhibitor recognition process.

Maybe the specific molecular recognition occurred only in some transient step that would be more difficult to visualize with a crystal structure. Afterall, it is quite possible that there exist crucial residues in mitochondrial ATP synthases that are in charge of IF1 specific recognition, seeing examples of other inhibitor cited at the beginning of this part. In our previous work, we were concentrated in highly conserved mitochondrial F 1 -ATPase residues that had also close distances with IF1 in final state.

Further study of IF1 specificity could be on residues of F 1 -ATPase highly conserved in mitochondrial ATP synthases, but more exposed in peripheral region where possibly occurs the first contact with IF1. Those entire hypotheses need further investigation to confirm.

By the way, we found modifications of IF1 inhibition with some mutants. Even if these residues are not responsible for IF1 specificity to mitochondrial F 1 -ATPase, some of them are still implicated in IF1 inhibition process shown by their mutations that modified the inhibition rate. What roles do they play during IF1 inhibition? It is also a very interesting question. Therefore, studies of mutants in group A and B are regrouped with group C and D. Further examination and discussion about IF1 inhibition process will be described as following.

IF1-F 1 -ATPase interaction process in Saccharomyces cerevisiae:

Grasping and locking of inhibitor IF1 by yF 1 -ATPase?

Previous studies lead the pathway to study IF1 binding process

The regulation of mitochondrial ATP synthase by its endogenous inhibitor IF1 is a complex mechanism. IF1 binding to the ATP synthase and inhibition of ATPase activity are favoured by an acidic pH (pH6.5-6.7) (Cabezon et al, 2000b). Although many X-ray crystal structures of the inhibited enzyme have been solved and the activity of IF1 has been characterized, little is known of the IF1 binding process. Moreover, many researchers have mutated individual amino acid residues of IF1 implicated in its inhibition but not those of ATP synthase. Known a protein-protein interaction occurs on both proteins, it appears interesting to us to complete the study from the point of view ATP synthase.

In order to understand the contributions of individual amino acid residues to IF1 binding, point mutations and deletions in yeast F 1 -ATPase α, β, and γ subunits have been produced and examined. Thanks to the analyses of kinetics, we characterized different sites in yeast F 1 -ATPase that participate in the initial binding event and those that stabilize the IF1-F 1 -ATPase.

Group A and B: γ-remote residues from αDP, βDP

Group A: αDP-E357, Y399, R400, V402 and Q418 Group B: βDP-T380, S383, E471, and A474

As defined in the previous chapter, investigation of these two groups of residues was first oriented to the IF1 specific inhibition of mitochondrial ATPases, and then focused on their roles during the IF1 binding process. SMP devoid of endogenous IF1 were centrifuged and kinetics of ATP hydrolysis and IF1 inhibition were carried out at pH 6.5.

Mutants are reminded as following:

Group A: α-E357D-Y399F-R400A-V402L-Q418N Group B: β-T380R-S383E, E471K-A474E, T380R-S383E-E471K-A474E

Effect of mutations in group A (α-E357D-Y399F-R400A-V402L-Q418N)

Figure 40 shows kinetic consequences of mutations in group A at pH6.5. Binding parameters, as those displayed in table 13, were obtained after merging the results of numerous independent kinetic experiments, which is to say 29 experiments for WT and 3-to-4 experiments for each mutant of the entire project (experiments at pH 8 are not included). IF1 inhibitions of WT and mutant α-E357D-Y399F-R400A-V402L-Q418N are compared in the same graph. IF1 at saturating concentration inhibited ATPase activity to more than 95% in SMP prepared from both WT and mutant. Comparing to the WT, this mutant had no effect on the binding rate constant k on . It slightly increased the directly determined rate constant of dissociation k off but had no significant effect on the K d k on product.

Table 13. IF1 binding parameters of ATP synthase with mutants of group A.

Experimental conditions and calculations as described in Materials and methods. pH 6.5. n, number of experiments.

At pH 6.5, the K d values are lower than 1 nM, which could not precisely distinguish the different effect of mutations. To better precise the effects of the mutation on the dissociation constant, we did the same kinetic experiment at pH 8, where these parameter constants are higher than at pH 6.5 therefore more precise, especially for the case of K d value (WT K d =0. 24 10 -9 M at pH 6.5), and the consistancy of k off and K d k on is better. But since higher pH does not favour IF1 binding, in order to get one detectable result, we had to consume more purified IF1. It also took much longer measuring time under this pH condition. Table 14 shows the IF1 binding parameters obtained at pH8. When the pH was increased from 6.5 to 8, the K d value for WT dramatically increased from 0.24 nM to 9 nM, the k off value increased from 1.8 10 -4 s -1 to 1.8 10 -3 s -1 , and the K d k on product increased from 10 -4 s -1 to 2 10 -3 s -1 , which now matches the k off value. For the mutant α-E357D-Y399F-R400A-V402L-Q418N, K d value increased from 0.6 nM to 23.4 nM, the k off value increased from 6.3 10 -4 s -1 to 5.6 10 -3 s -1 , and the K d k on product increased from 2.7 10 -4 s -1 to 5.5 10 -3 s -1 . It confirmed the results obtained at pH 6.5 that the quintuple mutation on α subunit had no effect on k on , whereas it increased the k off value and K d k on product by about 2.5 fold.

Effect of mutations in group B (β-T380R-S383E, E471K-A474E and T380R-S383E-E471K-A474E)

Residues selected in group B are located in βDP subunit bordering IF1 midpart.

Three different mutants were T380R-S383E, E471K-A474E and T380R-S383E-E471K-A474E. Figure 41 shows the effect of mutations in group B at pH6.5. Binding parameters were obtained after merging the results of numerous independent kinetic experiments as those displayed in table 15. IF1 inhibitions of WT and mutants are compared in the same graph. IF1 at saturating concentration inhibited ATPase activity to more than 95% in SMP mutants, the same as described in group A. Comparing to the WT, mutant T380R-S383E had no effect on the binding rate constant k on , and mutant E471K-A474E decreased the k on by a factor of 7. The combination of the four mutations had no significant additional effect as compared to E471K-A474E. However, at first sight none of this set of mutations had significant effect on the rate constant of dissociation.

Table 15. IF1 binding parameters of ATP synthase with mutants of group B.

Experimental conditions and calculations as described in Materials and Methods. pH 6.5, 25°C.

As described in group A, the same kinetic experiments at pH 8 were done for mutants in group B. Results are displayed in table 16. At this pH, mutant T380R-S383E still had no effect either on k on , or on k off . Mutants E471K-A474E and T380R-S383E-E471K-A474E both kept the same range of decrease on k on . By the way, these two mutants showed an effect of increasing the k off by 2 to 2.5 fold at pH 8 by both methods of k off determination. The cause of the k off modification effect is not clear. But maybe it was related to pH change that modified the charges of protonable residues.

Thus the electrostatic interaction between mutated residues (especially E471K and A474E) and IF1 could be slightly affected, which decreased the stability of the protein complex. It could be other reason that still needs further verification.

Discussion

The mutant α-E357D-Y399F-R400A-V402L-Q418N classified as group A does not affect IF1 binding step, and it contributes only a little to the stability of the inhibited complex suggested by the 2.5-fold increase of k off with their simultaneous mutation into their non-mitochondrial counterparts. These mutations globally decrease the volume of the lateral chains except for V402L. Thus some of these residues probably limit movements of IF1 when it is trapped in between αDP and βDP. The limited effect of mutagenesis could be due to the nature of the mutations of the residues. Since they were designed for IF1 specificity study, these mutations did not effectively reduce the IF1-F 1 -ATPase interaction. It could also be due to their relative remoteness from IF1 suggested by the yeast crystal. According to the structural analyses, residues in group A are closer to IF1 in bovine crystal but not in yeast, where four of the five residues are more than 6 Å to IF1 (see figure 36). Thus, other type of mutations could be interesting to examine the roles played by these residues during IF1 inhibition, such as glycine substitutions. And other residues in this region could also be interesting to investigate.

In group B, the Cter extremity residues E471 and A474 are clearly involved in IF1 initial binding step judging from the 7-fold decrease of k on observed from its mutant.

The Cter extremity of β subunit protrudes from the complex regardless the catalytic state of the interface, which is a facility of IF1 grasping. This initial IF1 grasping step occurs in one of the three catalytic states of the interface, and it follows large conformational changes until the dead-end state. It is also interesting to wonder which residues from IF1 part might interact with E471 and A474. In bovine F 1 -ATPase crystallized complex with bound IF1, residues E471 and A474 of βDP are close to IF1 residues L42, L45 and K46 (figure 42), whereas in yeast complex the homologues of these IF1 residues are not visible. In yeast crystal, residues E471 and A474 of βDP have a distance more than 10 Å to the closest IF1 residue (Q36, see figure 38). One could possibly imagine that in yeast IF1 homologue region, which refers IF1-L37 to L40, there exist residues closer to βDP E471 and A474. Mutations of these residues could be helpful to confirm our finding of βDP-E471 and A474. Interestingly, mutation into alanine of yeast IF1-L40, the homologue of bovine IF1-L45, has been recently shown to decrease k on by a factor of 5 [START_REF] Robinson | The structure of F(1)-ATPase from Saccharomyces cerevisiae inhibited by its regulatory protein IF(1)[END_REF]. This matches our finding of the 7fold decrease of k on for the mutant β-E471K-A474E. Therefore, it strengthens the idea that interaction between the β C terminal extremity and IF1 midpart (presumably IF1-L40 or its neighbours) is involved in the recognition step. On the other hand, the residues T380 and S383 play no role in IF1 binding process. In addition, the result of the mutation β-E471K-A474E consists of slight increase of the dissociation rate constant at pH 8, which suggests that these two residues are also involved in stabilizing the inhibited complex but with a very limited function.

Group C and D: γ-neighbouring residues from αDP, βDP

Group C: αDP 409 GSDLDAST 416 These two groups of selected residues were gradually mutated into glycine using site-directed mutagenesis in the aim of reducing their steric hindrance and eventually weaken their contact to γ subunit and to IF1. Obtained mutants are as following:

Group C: α 409 GSGLDAST 416 All the mutations in this group changed more or less the IF1 binding affinity to F 1 -ATPase. Since the first glycine substitution, the k on value drops from 4.3 10 5 M -1 s -1 (WT) to 2.3 10 5 M -1 s -1 ( α 409 GSGLDAST 416 ). But the decrease of k on value stays in a moderate range that never drop further than 2.5 times. Nevertheless, the dissociation constant K d as well as the dissociation rate constant k off increase gradually with the increasing number of mutated residues. Taking K d as example, comparing the value to WT, it increases from the first mutant α 409 GSGLDAST 416

Effect of mutations in Group D

β 394 GELSEQD 400 β 394 DGLSEQD 400 β 394 DELSGQG 400 β 394 DGGGEQD 400

This group of residues refers to the highly conserved motif, termed DELSEEDloop, described previously. The DELSEED-loop of β subunit makes contact with the foot of γ subunit. It also has direct interaction with IF1. Mutations of these residues into glycine reduce the steric hindrance of the loop, so that it may weaken the contact at the same time between β and γ subunits, and between β subunit and IF1. But since this β-DELSEED-loop has been suggested to be involved in coupling between catalysis and rotation [START_REF] Mnatsakanyan | The beta subunit loop that couples catalysis and rotation in ATP synthase has a critical length[END_REF], our mutations in this group did not go further than triple glycine substitution in order not to affect enzyme functions.

Kinetic results of this group of mutations are shown in figure 46, and the binding parameters obtained from numerous single experiments were calculated and shown in table 18. Table 18. IF1 binding parameters of ATP synthase with mutants of Group D.

Experimental conditions and calculations as described in Materials and methods. pH 6.5, 25°C. n, number of experiments.

None of the mutations in group D shows significant effect on the rate constant of IF1 association. But all the four mutations have more or less increased the rate constant of dissociation k off , as well as the K d . The most remarkable effect is observed with the mutant β 394 DGLSEQD 400 (E395G). This single substitution on glycine brings a 10-fold increase in k off . However, this important increase of k off does not appear with the triple mutation β 394 DGGGEQD 400 that includes E395G. The results suggest that βE395 plays a specific role.

Combination of crucial mutations α 409 GS---AST 416 and β 394 DGLSEQD 400

With the observations of mutations in group C and D, we selected one crucial mutation from each of the subunit: α 409 GS---AST 416 and β 394 DGLSEQD 400 . In the aim of detecting a maximal effect of mutations from γ remote residues, we combined the two selected mutations and created a new "double mutant", α 409 GS---AST 416 and β 394 DGLSEQD 400 . Kinetics of ATP hydrolysis and IF1 inhibitions are displayed in figure 47. Experimental data are shown in table 17. Experimental conditions and calculations are as described in Materials and methods. pH 6.5, 25°C. n, number of experiments. As expected, the combination of the two important mutations results in a dramatic decrease of IF1 affinity. The K d value drops from 0.24 10 -9 M to 194 10 -9 M.

However, it requires extremely high concentration of IF1 to achieve a detectable inhibition. As a consequence, it reaches instantly the equilibrium between active and inhibited forms of ATPase, and the k on and k off values are not detectable (see examples of single experiments in figure 47). Finally, the result of the final inhibition K d estimation corresponds to the multiplication of K d values of each "single mutation". As the K d value and IF1 binding energy are logarithmically related, the binding energy change of the "double mutation" should be the addition of energy from each "single mutation" from different region of α, β subunits. In fact, our calculation based on the experimental data shows that both the K d value and binding energy calculation are in accord with the independent contribution to IF1 interaction from each side of α, β subunits.

Residues in γ subunit interacting with Group C

According to the crystal structure of IF1-F 1 -ATPase, γ 116 MQLL 119 are facing αDP 409 GSDLDAST 416 . The contact between α and γ subunits might be linked to the IF1 binding process. Since the series of mutations in group C showed significant effect in k off , it is also very interesting to know whether it has the same effect with the same type of diminishing-volume mutations in γ subunit. A series of glycine substitutions in γ subunit was designed and constructed through the collaboration with Dr. Emmanuel Tetaud at Bordeaux. Until recently, two mutants have been successfully grown and determined of their kinetic parameters (table 20). Kinetics have been performed at pH 8, at 25°C. The two mutants in γ subunit facing residues in group C have no effect on rate constant of IF1 association. But the double mutant γ-M116G-Q117G increased the dissociation rate constant by around 70% comparing to WT. The triple mutant γ-M116G-Q117G-L118G abolished this increase in k off , which is similar to the mutation αS410G. This result of limited effect is accordable to the effect of group C mutations afterall.

Discussion

In α subunit, the group C residues αDP 409 GSDLDAST 416 seems somehow participate in the initial step of IF1 recognition according to the moderate decrease of k on value while mutated into glycine. Since the first substitution of glycine (D411G), enzyme showed a remarkable effect. So this residue D411 probably has the main contribution for IF1 recognition among all the target residues in group C. Since the group C is relatively far from IF1 in the crystal structure comparing to group B that plays a main role in IF1 binding step, it is reasonable for this group to have a minor contribution to initial binding step. Known the crystal structure shows only the final state of the inhibited complex, the initial binding step including the transient conformational changes remains unclear. We could possibly imagine that the group C residues are partially involved in IF1 loose binding step. Then after enzyme performing a fraction of turn, they turn to play the main role of stabilizing the inhibited complex.

Suggested by the modification of k off values, αDP 409 GSDLDAST 416 shows important contribution to the stability of inhibited complex. According to the crystal structure, these residues in αDP subunit do not have direct contact with IF1 in the final state, except one possible electrostatic interaction between αD413 and IF1-R30, and one other possible hydrophobic interaction between αL412 and IF1-F27. These weak interaction with IF1 would probably limit the inhibitor movement inside the (αβ)DP crevice. Moreover, their position in the enzyme and their steric hindrance allow the formation of a pliers-like motif cooperating with βDP subunit through their lateral chains in order to block IF1 movement. The contact between αDP 409 GSDLDAST 416 and γ 115 KMQLL 119 might contribute to the rigidity of these pliers (figure 48).

In β subunit, the motif DELSEQD is not involved in IF1 recognition, but it contributes to stabilize the IF1 inhibited complex, as suggested by k off increase with mutations. The most significant contribution to IF1 stability was observed with mutation in β-E395. On one hand, βDP-E395 has no close distance to IF1 (more than 9 Å), but it is close enough with γ-R30 to establish a salt bridge (less than 3 Å), as well as electrostatic interactions with γ-K81. On the other hand, βTP-E395 also seems to play a role to the stability of the inhibited complex, since it has a relatively close distance with IF1-R20 (more than 4.8 Å). Moreover, the β-E398 was also observed by the crystal structure holding a close distance to IF1, such as βDP-E398 establishing a salt bridge with IF1-R32 (3.2 Å), and βTP-E398 forming a H-bond with γ-Q117. All these interactions contribute to IF1 stability, which were confirmed by kinetics with mutations reducing the interactions (figure 49).

All together, the results suggest that not only the direct contacts between α/β subunit and IF play a role in stabilizing the inhibited complex, but also the interaction between α/β subunit and γ subunit. It is a complicated subunit-subunit cooperation that keeps the IF1-F 1 -ATPase stable.

Conclusion

Being an essential enzyme in the mitochondria of a cell, ATP synthase functions as an energy producer. The reverse action of ATP hydrolysis is a potential danger for the cell in most cases. Therefore, the regulation of mitochondrial ATPase by its natural inhibitor IF1 is important. During the three years of my thesis, our team worked on the ATPase regulation by IF1 in the model of Saccharomyces cerevisiae mitochondria. This work was ained in studying the dynamics of the inhibition process, by discriminating motifs or residues of ATP synthase that are involved in the IF1 recognition and locking steps; as well as in understanding the specificity of mitochondrial ATPase inhibition that IF1 showed in in vitro experiments.

Numerous residues in ATPase α, β and γ subunits that are most probably implicated in IF1 binding process were selected and mutated. Mutants were classified into four different groups according to their locations and their mutation types.

Mutagenesis was then combined with kinetic approach in order to study the effect of mutations in IF1 inhibition and consequently analyze the roles played by each residue during IF1 binding and locking to ATPase.

Firstly, with the preliminary experiments in the lab showing that IF1 inhibits specifically mitochondrial ATPase, we examined residues of group A and B. Results

show that none of the selected residues are responsible for IF1 specific inhibition of mitochondrial ATPase. This specificity, if it exists, could involve in specific molecular recognition occurring only in some transient steps that are not visualized in a crystal structure. It could also possibly involve in other residues that we did not mutate. And it requires more investigations.

Secondly, kinetic studies were performed to estimate the effect of mutations on ATPase represented in four groups during IF1 inhibition. Kinetic parameters of IF1 binding to ATPase were observed. These results revealed the formation of the interaction between IF1 and ATPase, from the initial recognition step to the stabilization of inhibited complex. With the help of structural analyses, we proposed in this work the sequence of events occurring in mitochondrial ATPase inhibition by IF1

(see figure 50).

1)

IF1 midpart is recognized by the C-terminal extremity of ATPase β subunit (in particular E471, A474), which belongs to one of the three αβ catalytic interfaces. At the same time, the α motif GSDLDAST slightly contributes to IF1 recognition.

2)

After IF1 loose binding, ATPase still experiences one fraction of turn and the catalytic interface that has just bound IF1 closes and becomes (αβ)DP. IF1 is then trapped.

3) IF1 trapping involves αDP-GSDLDAST and βDP-DELSEQD, which form a pair of pliers that encage IF1. Whereas β C-terminal extremity becomes much less important than the beginning. In addition, other residues in α subunit (group A) facing IF1 midpart modestly contribute to IF1 trapping by limiting its movements inside the (αβ)DP crevice.

4)

The interactions between α, γ and β, γ subunits (α-GSDLDAST and foot of γ, β-DELSEQD and foot of γ) ensure the rigidity of the pliers mentioned in step 3.

5)

Another contribution comes from the N-terminal part of IF1, which was shown to play a key role in stabilizing the inhibited complex. All together, the regulation of mitochondrial ATPase by IF1 is shown to be complicated subunit-subunit cooperation. Most of the enzyme-inhibitor interaction in the initial binding step are not visualized in crystal structure, but are suggested in this work by the combination of kinetics and site-directed mutagenesis, as well as accumulation of experiments. This approach notably improves our knowledge of IF1 inhibition mechanism. There are still other aspects about IF1 regulation that remain to be elucidated.

Perspectives

In this work, we have mutated and examined the role of numerous residues implicated in the IF1 binding process, located in four different regions involving three subunits. Still, there are several things we could do in the future work to improve the understanding of IF1 inhibition to mitochondrial ATPase.

Speaking about the mutagenesis, we barely started to study residues in γ subunit that are in contact with α and β subunit. By those limited mutations, we found interesting results that matched the effect of mutations in their counterpart in α and β subunit. Thus, more investigations in γ subunit will be interesting. For instance, around the region γ-116 MQLL 119 , those amino acids are suggested to be in contact with α subunit stabilizing the inhibited complex. They also have a close distance with βTP-DELSEQD. But in the crystal structure, there are some residues missing in γ subunit.

Plus, the transient interaction between the two subunits remains unknown. We need to re-examine the structures in order to find and study more potential candidates located in α-contacting region of γ subunit involving in IF1 binding process, which would definitely help the understanding of IF1 interaction especially the stabilization step. On its other side, γ subunit is in contact with βDP-DELSEQD, perhaps participating in the stabilization of the complex. As we discussed previously, γ-R30 is a good candidate, as well as γ-K81. They get really close to βDP-DELSEQD, less than 4 Å. So that they could probably play an important role as γ-116 MQLL 119 (or their neighbourhood residues), contributing to the stabilization of inhibited complex. So, it would be interesting to mutate these regions of γ subunit and compare the effect to mutations in α and β subunits. On the other hand, inside α and β subunits, especially those regions contacting IF1 midpart, there is also something interesting that could be tested, which could then be compared to group A and B. Since we turned the focus now to the research of IF1 binding process, it could be interesting to re-examine these residues by glycine substitutions. In this way, we could more effectively weaken the interaction between IF1 and F 1 -ATPase, and consequently study the IF1 recognition step by these residues. Besides, the choices of these residues were made on basis of sequence alignment between different organisms (mitochondrial versus nonmitochondrial families). The most conserved residues in mitochondrial family were selected, but they were not meant to be the closest residues interacting with IF1 midpart. Which is to say that further intensive work could be done to study other residues located in the catalytic αβ interface facing IF1 midpart, in order to identify other residues that contribute to IF1 recognition.

Speaking about the technique, until now the studies of interaction between IF1

and ATPase are mainly realized by two approaches: X-ray crystallography, and enzyme kinetics combined to site-directed mutagenesis. X-ray crystallography allows to solve the 3D structure of the IF1 inhibited ATPase, which is the dead-end conformation.

Kinetic experiments with mutations allow distinguishing two steps in the inhibition process (recognition and stabilization), and identifying residues involved in the process. However the successive conformational changes of ATPase and IF1 during their interaction are not revealed. Structural characterization of these different states is necessary to have a dynamic view of the inhibition process, in particular to understand the uni-directional, mitochondrial ATPase inhibition process. The remaining questions are as follows: What is the catalytic state of αβ interface that initially binds IF1? How does IF1 adjust its conformation during the inhibition? We proposed that IF1 is recognized by the enzyme through its midpart and the Ntermainal part folds in the opposite direction [START_REF] Andrianaivomananjaona | How the N-terminal extremity of Saccharomyces cerevisiae IF1 interacts with ATP synthase: a kinetic approach[END_REF].

Winding of its N-terminal part around the central γ subunit is likely to occur in the following steps to stabilize the complex. But it lacks direct visualizing evidence. What happens in the transient binding steps? How does IF1 specifically inhibit mitochondrial

ATPase? What role does the dimerization of yeast IF1 play in the inhibition?

To solve these questions, new experimental approaches are required. For instance, the spin-labeling EPR spectroscopy could be used to characterize the proteinprotein interaction at the structure level. IF1 and F 1 -ATPase will be labeled at certain ATP synthase, also called F 0 F 1 -ATPase, plays a key role in energetics of the cell. This enzymatic complex is anchored to bacterial, chloroplastic and mitochondrial energy-transducing membranes. It consists of a membranous sector (F 0 ) and an extrinsic subcomplex (F 1 ). It recycles ATP, the main biological energy vector, at the expense of a transmembrane electrochemical proton gradient also called protonmotive force (pmf) [START_REF] Mitchell | Coupling of phosphorylation to electron and hydrogen transfer by a chemiosmotic type of mechanism[END_REF]. ATP synthase is a molecular motor driven by protons [START_REF] Noji | Direct observation of the rotation of F 1 -ATPase[END_REF]. A downhill proton flow through the F 0 sector rotates a cylindrical homo-oligomer containing 8 or 10 transmembrane c subunits [START_REF] Watt | Bioenergetic cost of making an adenosine triphosphate molecule in animal mitochondria[END_REF][START_REF] Dautant | Crystal structure of the Mg.ADP-inhibited state of the yeast F1c10-ATP synthase[END_REF] in the case of mitochondria and bound to the central shaft (γδε subunits) of the extrinsic part of the complex. The rotation is thus transmitted to the γ subunit, that sequentially distorts the three catalytic sites located at the interfaces of the peripheral α and β subunits arranged in a (αβ)3 crown-like structure. These conformational changes induce binding of ADP and inorganic phosphate (Pi), their condensation into ATP and the release of ATP, according to the classical "binding-change" mechanism [START_REF] Boyer | The ATP synthase -a splendid molecular machine[END_REF]. Viewed from the membrane, the central shaft rotates clockwise during ATP synthesis and in the opposite direction during ATP hydrolysis [START_REF] Noji | Direct observation of the rotation of F 1 -ATPase[END_REF]6]. The direction of the reaction depends on the energetic balance between the pmf and the Gibbs' free energy of the reaction, determined by ADP, Pi and ATP concentrations.

The activity of ATP synthase is regulated. Collapse of the pmf, which should theoretically trigger ATP hydrolysis, actually leads to enzyme inhibition. In mitochondria, this process involves a regulatory peptide called IF1 [START_REF] Pullmann | A naturally occurring inhibitor of mitochondrial adenosine triphosphatase[END_REF]. IF1 is a soluble peptide, 84 residues-long in B. taurus and 63 residueslong in S. cerevisiae [START_REF] Matsubara | Amino acid sequence of an intrinsic inhibitor of mitochondrial ATPase from yeast[END_REF]. Its structure is α-helical, except for its N-terminal extremity [START_REF] Cabezón | The structure of bovine IF(1), the regulatory subunit of mitochondrial F-ATPase[END_REF][START_REF] Gledhill | How the regulatory protein, IF1, inhibits F 1 -ATPase from bovine mitochondria[END_REF][START_REF] Robinson | The structure of F 1 -ATPase from Saccharomyces cerevisiae inhibited by its regulatory protein IF1[END_REF].

Radiocrystallographic structures of bovine and yeast F 1 -ATPases, with or without bound IF1, have been published and revealed that the three catalytic (αβ) interfaces are in different conformations. These interfaces are named (αβ)TP, (αβ)DP and (αβ)E. This nomenclature was given according to the catalytic nucleotide occupancy (ATP analogue, ADP or empty) in the first published structure [START_REF] Abrahams | Structure at 2.8 Å resolution of F 1 -ATPase from bovine heart mitochondria[END_REF], and more generally to the rotor orientation, which determines interface conformations even in the absence of nucleotides [START_REF] Kabaleeswaran | Asymmetric structure of the yeast F 1 -ATPase in the absence of bound nucleotides[END_REF]. In crystallized bovine and yeast F 1 -ATPase in complex with IF1, the inhibitory peptide interacts with α, β and γ subunits. The middle part of IF1 is inserted in the (αβ)DP catalytic interface. The N-terminal part mainly interacts with the central axis of the γ subunit and also with the αE subunit. The C-terminal part is truncated in the bovine crystal and not visible in the yeast crystal [START_REF] Gledhill | How the regulatory protein, IF1, inhibits F 1 -ATPase from bovine mitochondria[END_REF][START_REF] Robinson | The structure of F 1 -ATPase from Saccharomyces cerevisiae inhibited by its regulatory protein IF1[END_REF].

When the inner membrane is deenergized, IF1 thus binds to the catalytic part of ATP synthase and blocks ATP hydrolysis. As soon as the pmf is restored, the affinity of IF1 for ATP synthase dramatically decreases, which leads to its release and therefore allows the enzyme to catalyze ATP synthesis [START_REF] Schwerzmann | Regulation of the mitochondrial ATP synthase/ATPase complex[END_REF][START_REF] Van De Stadt | The interaction between the mitochondrial ATPase (F 1 ) and the ATPase inhibitor[END_REF][START_REF] Husain | ATP synthesis and hydrolysis in submitochondrial particles subjected to an acid-base transition. Effects of the ATPase inhibitor protein[END_REF][START_REF] Power | Interaction of F 1 -ATPase from ox heart mitochondria with its naturally occurring inhibitor protein. Studies using radio-iodinated inhibitor protein[END_REF][START_REF] Klein | Effect of the protonmotive force on ATP-linked processes and mobilization of the bound natural ATPase inhibitor in beef heart submitochondrial particles[END_REF][START_REF] Husain | Interaction between F 1 -ATPase and its naturally occurring inhibitor protein. Studies using a specific anti-inhibitor antibody[END_REF][START_REF] Lippe | Kinetics of the release of the mitochondrial inhibitor protein. Correlation with synthesis and hydrolysis of ATP[END_REF][START_REF] Lippe | The binding and release of the inhibitor protein are governed independently by ATP and membrane potential in ox-heart submitochondrial vesicles[END_REF]. The reason for this pmf-dependent binding/release is not yet understood, its elucidation requires analysis of IF1 binding dynamics. Previous studies with the isolated F 1 -ATPase subcomplex have distinguished a first step, in which IF1 loosely binds to a catalytic site in an adequate conformation, and a second step, turnover-dependent, in which it is trapped within the complex [START_REF] Corvest | The binding mechanism of the yeast F 1 -ATPase inhibitory peptide: role of catalytic intermediates and enzyme turnover[END_REF][START_REF] Corvest | Insight into the bind-lock mechanism of the yeast mitochondrial ATP synthase inhibitory peptide[END_REF]. Kinetic experiments using IF1 with the N-terminal extremity deleted [START_REF] Andrianaivomananjaona | How the Nterminal extremity of Saccharomyces cerevisiae IF1 interacts with ATP synthase: a kinetic approach[END_REF][START_REF] Bason | Binding of the inhibitor protein IF1 to bovine F 1 -ATPase[END_REF] or attached to a globular protein suggested that this part of IF1 is not involved in the recognition step but contributes to the stability of the inhibited complex [START_REF] Andrianaivomananjaona | How the Nterminal extremity of Saccharomyces cerevisiae IF1 interacts with ATP synthase: a kinetic approach[END_REF].

In this work, we intended to identify amino acids or motifs of F 1 -ATPase involved in the different steps of IF1 binding process. To reach this goal, we mutated residues of S. cerevisiae ATP synthase selected on the basis of structures of the IF1-inhibited F 1 -ATPase complex. Then, using submitochondrial particles prepared from wild type and mutated cells, we studied the kinetics of inhibition of ATP hydrolysis by IF1. For the first time, the effect of mutations in α, β and γ subunits on IF1 binding parameters (kon, Kd and koff) was observed. These data reveal how the set of interactions between IF1 and F 1 -ATPase subunits varies between IF1 grasping and formation of the dead-end state.

Moreover, they bring a new insight on the inhibition process by suggesting that subunit-subunit interactions within F 1 -ATPase contribute to the stabilization of the inhibited complex.

MATERIALS AND METHODS

2.1. Mutagenesis of α subunit and β subunitα subunit and β subunit mutagenesis was achieved by transforming Δatp1 and/or Δatp2 S. cerevisiae cells with plasmids containing WT or mutated ATP1 and/or ATP2 genes, respectively. The plasmid with ATP1 gene was obtained by modifying the plasmid pFL61 [START_REF] Minet | Complementation of Saccharomyces cerevisiae auxotrophic mutants by Arabidopsis thaliana cDNAs[END_REF] as following. First, the 2 micron replication origin was replaced by the ARS/CEN replication origin. Then, the coding DNA sequence of ATP1 gene was inserted into this plasmid under the control of PGK promoter and terminator, leading to the plasmid pVC2-ATP1. The plasmid with ATP2 gene was pRS313/ATP2-H10 [START_REF] Corvest | Insight into the bind-lock mechanism of the yeast mitochondrial ATP synthase inhibitory peptide[END_REF]. Mutagenesis of ATP1 and ATP2 genes in the two plasmids was performed using PCR. Primers used for PCR are displayed in Supplementary Material, Figure SM1. All mutants of α subunit and most mutants of β subunit were obtained by successively transforming S. cerevisiae cells [START_REF] Van De Stadt | The interaction between the mitochondrial ATPase (F 1 ) and the ATPase inhibitor[END_REF]112, kindly provided by Pr David Mueller (Chicago, IL, USA) with pVC2-ATP1 and pRS313/ATP2-H10 plasmids. Cells were first transformed by WT or mutated pRS313/ATP2-H10 and selected on a fermentable medium (FM) containing 0.7% Yeast Nitrogen Base without aminoacids, 2% glucose, supplemented with 60 mg/L leucine, 20 mg/L adenine, 20 mg/L tryptophan and 20 mg/L uracil. Selected cells were grown in a medium containing 1% Yeast Extract, 1% Bacto Peptone and 2% glucose. Then they were transformed with WT or mutated pVC2-ATP1 plasmid. Transformed cells were selected and grown at 30°C on a strictly respiratory medium (RM) containing 1% yeast extract, 0.1% KH2PO4, 0.12% SO4(NH4)2, 2% lactate, supplemented with 60 mg/L leucine, 20 mg/L adenine and 20 mg/L tryptophan, pH 5.5.

Auxotrophy of each of the mutated strains was checked on the final sample used for mitochondria preparation. For double mutations β-T380R-S383E, β-E471K-A474E and the quadruple mutation β-T380R-S383E-E471K-A474E, S. cerevisiae cells (Euroscarf BY4741-Datp2 MAT a, his3D1, leu2D0, met15D0, ura3D0, YJR121w::kanMX4) were transformed with the WT or the mutated pRS313/ATP2-H10 plasmid. Transformants were selected and grown at 30°C on RM supplemented with 40 mg/L methionine, 60 mg/L leucine, 20 mg/L adenine, 20 mg/L tryptophan, 20 mg/L uracil, and 200 mg/L G418 pH 5.5.

2.2. Mutagenesis of γ subunitγ subunit mutagenesis was achieved by PCR amplification using DNA from strain W303-1B as a template. Primers used for PCR are displayed in Supplementary Material, Figure SM1. PCR product was digested with HindIII-NotI and ligated into the vector pES425#1 (Doron Rapaport). All mutants of γ subunit were obtained by transforming S. cerevisiae cells (W303-1B MAT α,[START_REF] Van De Stadt | The interaction between the mitochondrial ATPase (F 1 ) and the ATPase inhibitor[END_REF]112, with the pES452-γ vector and selected on FM supplemented with 20 mg/L adenine, 20 mg/L tryptophan, 20 mg/L histidine and 20 mg/L uracil.

Obtained strains were subsequently deleted for ATP3 gene with the deletion cassette of ATP3 obtained by the PCR amplification of the pUG6 plasmid containing the KanMX4 module [START_REF] Wach | New heterologous modules for classical or PCR-based gene disruptions in Saccharomyces cerevisiae[END_REF] as a template and primers displayed in Supplementary Material, Figure SM1. Transformants were selected on complete synthetic medium supplemented with 200 µg/ml G418. Transformed cells were grown at 30°C on RM supplemented with 20 mg/L adenine, 20 mg/L histidine, 20 mg/L uracil and 20 mg/L tryptophan, pH 5.5.

Auxotrophy of the mutated strains was checked on the final sample used for mitochondria preparation.

2.3. Biological materials -S. cerevisiae cells were grown at 30 °C in a large volume of RM as indicated above, and cells were harvested in exponential phase to prepare mitochondria as previously described [START_REF] Venard | Investigation of the role and mechanism of IF1 and STF1 proteins, twin inhibitory peptides which interact with the yeast mitochondrial ATP synthase[END_REF]. Sub-mitochondrial particles devoid of IF1 were prepared by sonication in TSE 200 µM EDTA,pH 8.5) as previously [START_REF] Venard | Investigation of the role and mechanism of IF1 and STF1 proteins, twin inhibitory peptides which interact with the yeast mitochondrial ATP synthase[END_REF], except that after endogenous IF1 release (4°C, overnight) they were centrifuged for 20 min (8000 g, 4°C). The supernatant was then centrifuged for 40 min (100,000 g, 4°C), and the new pellet was resuspended into a small volume (100-200 µl) of TSE, then kept on ice before use. His-tagged yIF1 was overexpressed in E. coli and the peptide was purified as previously [START_REF] Andrianaivomananjaona | How the Nterminal extremity of Saccharomyces cerevisiae IF1 interacts with ATP synthase: a kinetic approach[END_REF] using a Ni-NTA column. The His-tag was removed using enterokinase. yIF1 produced in this work differed from the WT in two points: Phe28 was replaced by Trp to allow spectrophotometric detection of the protein at 280 nm, and the first residue (Ser) was replaced by the triplet Ala-Met-Ala, which was found to improve the purification and the stability of the peptide. None of these modifications altered the binding properties of the inhibitory peptide.

ATP hydrolysis measurement and kinetic analysis -Continuous monitoring of ATP

hydrolysis by SMP coupled to NADH oxidation was carried out spectrophotometrically as described [START_REF] Andrianaivomananjaona | How the Nterminal extremity of Saccharomyces cerevisiae IF1 interacts with ATP synthase: a kinetic approach[END_REF].

The reaction was observed in a stirred and thermostated cuvette (25°C) containing 50 mM MES (pH 6.5) or 50 mM Tris (pH 8.0), 20 mM KCl, 1 mM MgCl2, 1 mM phosphoenolpyruvate, 20 units/mL pyruvate kinase, 50 units/mL lactate dehydrogenase, 0.4 mM NADH, 1 mM MgATP, 2 µM antimycin and 2 µM FCCP. ATP hydrolysis was initiated by adding SMP and monitored by NADH absorbance decrease at 340 nm. After 2-4 min, yIF1 was injected and ATPase activity decayed. The spectrophotometric recording was fitted to the following function corresponding to a monoexponential decay of the ATPase activity:

y(t) = v(I) t + [(V(0)-V(I))/kapp] [1-exp(-kapp t)] + y0 (1)
where y(t) is the absorbance at time t, and y0 the absorbance at zero time defined as the time of IF1 addition. V(0) is the constant rate of absorbance variation before IF1 addition in absorbance units per second (proportional to the initial ATPase activity), V(I) the final rate of absorbance variation after IF1 addition (proportional to the final ATPase activity), and kapp the apparent inhibition rate constant in s-1.

The obtained kapp value was plotted as a function of the inhibitor concentration [I] to determine the rate constants kon (in M-1s-1) and koff (in s-1) according to:

kapp = kon [I] + koff (2)
The relation between the V(I)/V(0) ratio and the inhibitor concentration was fitted to the following function:

V(I) / (V(0) = vr + (1-vr) / (1 + [I] / Kd) ( 3
)
where vr is the inhibitor-insensitive fraction of V(0) (always lower than 5%). Theoretically, Kd should be equal to the koff/kon ratio. koff was also directly calculated using the following linear relationship between 1/kapp and V(I)/V(0), drawn from Eqns. ( 1) and ( 3):

V(I) / (V(0) = vr + [(1 -vr) / koff] (1 / kapp) (4)
kon, Kd and koff values and their standard errors were obtained by fitting the experimental data with Eqns. ( 2), ( 3) and ( 4), respectively, using Microcal Origin software. In all of the experiments, the inhibitor concentration was much higher than the enzyme concentration. Therefore the total and free concentrations of inhibitor could be considered identical and constant during the kinetics of inhibition.

One experiment consisted in a set of at least ten kinetics obtained with different IF1 concentrations.

2.5. Chemicals and reagents -All reagents were of analytical grade. PCR mutagenesis was carried out using the QuikChange Site-Directed Mutagenesis Kit from Stratagene (La Jolla, CA, USA).

DNA ligase was from New England Biolabs (Ipswitch, MA, USA). BCIP (5-bromo-4-chloro-3-indolyl phosphate) and NBT (nitro blue tetrazolium) were from Bethesda Research Laboratories (Gaithersburg, MD, USA). Yeast extract was from Difco (Detroit, MI, USA). ATP, NADH, and phosphoenolpyruvate were purchased from Roche (Basel, Switzerland). Pyruvate kinase and lactate dehydrogenase were purchased from Sigma-Aldrich (St Louis, MO, USA).

RESULTS

3.1. Classes of mutations in α and β subunits -In order to determine their role in IF1 recognition and locking, we mutated some residues or groups of residues of the yeast ATP synthase and examined the consequences of these mutations on IF1 binding parameters. To select the amino acids to be mutated, we defined four distinct classes of residues surrounding IF1 in the crystallized IF1/F 1 -ATPase complexes [START_REF] Gledhill | How the regulatory protein, IF1, inhibits F 1 -ATPase from bovine mitochondria[END_REF][START_REF] Robinson | The structure of F 1 -ATPase from Saccharomyces cerevisiae inhibited by its regulatory protein IF1[END_REF], two located in αDP subunit (classes A and C) and two in βDP subunit (classes B and D) (Figure 1). In each subunit, the two classes of residues were discriminated on the basis of the distance from the foot of the γ subunit. Class A (α subunit) and B (β subunit) consist of discrete amino acids, remote from γ, generally well conserved within mitochondrial ATP synthases but not in other ATP synthases. Class C (α subunit) and D (β subunit) are motifs of contiguous, highly conserved amino acids, some of which interact with γ.

3.2. Kinetic parameters estimates and meaning -The rate constant of association kon is related to the recognition step, whereas thermodynamic and kinetic constants of dissociation, Kd and koff, are inversely related to the stability of the inhibited complex. Figure 2 shows typical examples of determination of these constants from single experiments. It has been previously shown that the measured association rate constant kon of IF1 depends on MgATP concentration [START_REF] Milgrom | An ATP dependence of mitochondrial F 1 -ATPase inactivation by the natural inhibitor protein agrees with the alternating-site binding-change mechanism[END_REF], because it is actually modulated by the nucleotide occupancy and the catalytic turnover of F 1 -ATPase [START_REF] Corvest | The binding mechanism of the yeast F 1 -ATPase inhibitory peptide: role of catalytic intermediates and enzyme turnover[END_REF][START_REF] Corvest | Insight into the bind-lock mechanism of the yeast mitochondrial ATP synthase inhibitory peptide[END_REF]. Experiments reported here were carried out with 1 mM MgATP. At this MgATP concentration the kon value reaches a plateau and represents the true rate binding constant. Importantly, the koff value was here estimated not only by the Kdkon product as in previous studies [START_REF] Andrianaivomananjaona | How the Nterminal extremity of Saccharomyces cerevisiae IF1 interacts with ATP synthase: a kinetic approach[END_REF][START_REF] Bason | Binding of the inhibitor protein IF1 to bovine F 1 -ATPase[END_REF][START_REF] Robinson | The structure of F 1 -ATPase from Saccharomyces cerevisiae inhibited by its regulatory protein IF1[END_REF], but also by directly correlating kapp to the residual activity at equilibrium (see Materials and Methods,Eqn. 4). This makes koff determination insensitive to possible uncertainties on IF1 concentrations. Comparison of these two koff values allows evaluating self-consistency, and then reliability of parameter estimates. Figure 2 shows an example of single experiments from three phenotypes in which the koff/Kdkon ratios are 1.6 ± 1.2, 1.4 ± 0.5 and 1.05 ± 0.26. These values are reasonably close to the theoretically expected ratio of 1.

3.3. Effect of mutations of γ-remote residues -The residues of classes A and B were selected on the basis of two criteria: their proximity of IF1 in crystals and their relative specificity to mitochondrial F 1 -ATPases (Figure SM2 of Supplementary Material). This second criterion was applied with the aim to identify residues responsible for the fact that IF1 specifically inhibits mitochondrial ATP synthases in vitro. IF1 peptides purified from B. taurus and S. cerevisiae indeed non-specifically inhibit F 1 -ATPase from both species, but they do not inhibit F 1 -ATPase from E. coli [START_REF] Cabezón | Homologous and heterologous inhibitory effects of ATPase inhibitor proteins on F-ATPases[END_REF]. Accordingly, purified yIF1 does not inhibit F 1 -ATPase from PS3 bacillus and from spinach chloroplasts, even after removal of the ε subunit in the latter case (Figure SM3 of Supplementary Material).

The selected residues were mutated into their non-mitochondrial counterparts (Figure SM2). All αsubunit residues (E357, Y399, R400, V402, Q418) and two β-subunit residues (T380, S383) were mutated into the residues present in almost chloroplastic sequences and in a number of bacterial sequences. βE471 and βA474, located in a region poorly conserved in the non-mitochondrial world, were respectively mutated into their E.coli and chloroplastic homologues. IF1 at saturating concentration inhibited ATPase activity to more than 95% in SMP prepared from all these mutants. Binding parameters were obtained after merging the results of several independent kinetic experiments as those displayed in Fig. 2, 3-4 experiments for mutants, and 29 experiments for WT. The results obtained at pH 6.5 are displayed in Table I. and Fig. 3a focuses on the values of IF1 association and dissociation constants, the latter being estimated by koff as well as by the Kdkon product (see Materials and Methods and section 3.2). Combined mutagenesis of the five residues selected on α (class A) had no effect on the binding rate constant kon. It increased the rate constant of dissociation or had no significant effect, depending whether it is determined by koff or by the product Kdkon. On the β subunit (class B), the double mutation T380R-S383E had no significant effect on kon value and the double mutation β-E471K-A474E decreased the kon value by a factor of 7. Combining the four mutations has no significant additional effect as compared to E471K-A474E. Mutations on the β subunit had no significant effect on the rate constant of dissociation.

To precise the effects of the mutations on the dissociation rate constants, we did some complementary experiments at pH 8 for which these constants are higher. At this pH, the Kd value of WT dramatically increased from 0.24 nM to 9 nM, the koff value from 1.8 10-4 s-1 to 1.8 10-3 s-1, and the Kdkon product from 0. Globally, except for S410G, decreasing the steric hindrance of the α409GSDLDAST416 motif tends to destabilize the inhibited IF1-F 1 ATPase complex. In the αDP subunit of the crystallized IF1-ATPase complex, 409GSDLDAST416 amino acids face 116MQLL119 residues belonging to an α-helix of the γ subunit. In particular, residues αD411, αL412 and αD413 are closer to this γ116MQLL119 motif than to IF1 (Figure 1). This suggests that koff increase consecutive to their mutation or deletion could be due, at least in part, to modifications of αDP-γ interactions in this region. In this case, diminishing the steric hindrance of the γ116MQLL119 motif is also expected to increase koff. We have then performed the double mutation γ-M116G-Q117G and the triple mutation γ-M116G-Q117G-L118G and examined their effect on IF1 binding. Not surprisingly, these mutations had no effect on the kon value. The double mutation γ-M116G-Q117G resulted in increasing the dissociation rate constant by more than 70%, a limited but significant effect observed both at pH 6.5 and at pH 8. At pH 8, the koff value shifted from 1.8 10 3 s 1 (WT) to 3.1 10 3 s 1 (γ-M116G-Q117G). The triple mutation γ-M116G-Q117G-L118G

restored koff to the wild type value. The detailed results obtained at pH 8 are displayed in Table II andin Figure 5.

Taken together, these results show that modifications in the α-γ contact region involving 409GSDLDAST416 and γ-116MQLL119 affect the dissociation rate constant and the affinity of the peptide for the enzyme. The effect of the double mutation γ-M116G-Q117G is limited and reversed by the additional γ-L118G mutation, but it remains consistent with a contribution of this α-γ contact in stabilization of the IF1-inhibited complex.

3.5. Effect of mutations of β subunit residues close to the foot of γ subunit -DELSEED (394DELSEQD400 in yeast) is a well-conserved motif of β subunit, which periodically interacts with γ subunit during catalytic turnover [START_REF] Duncan | Rotation of subunits during catalysis by Escherichia coli Fl-ATPase[END_REF]. Without being essential, it is involved in coupling catalysis to γ subunit rotation [START_REF] Hara | The role of the DELSEED motif of the β subunit in rotation of F 1 -ATPase[END_REF][START_REF] Mnatsakanyan | The Role of the DELSEED-loop of ATP Synthase[END_REF][START_REF] Tanigawara | Role of the DELSEED loop in torque transmission of F 1 -ATPase[END_REF] and has been proposed to play a role in the inhibitory effect of the bacterial regulatory ε subunit [START_REF] Hara | The role of the βDELSEED motif of F 1 -ATPase; propagation of the inhibitory effect of the ε subunit[END_REF], the counterpart of the mitochondrial δ subunit. Like αDP-409GSDLDAST416, βDP-394DELSEQD400 is located in a region close to the foot of the γ subunit. Table I (Class D) shows IF1 binding parameters of ATP synthase in which different residues of DELSEQD have been mutated into glycine. These mutations had no effect of the rate constant of IF1 binding. All the mutations increased the rate constant of dissociation. The most important increase (10-15 fold) was by far obtained with the single mutation of αE395 into glycine, which suggests a specific role for this residue. This effect was partly reversed by the additional double mutation αL396G-αS397G.

We also combined the two mutations that had separately the greatest effect on Kd and koff, α-409GS ---AST416 and β-394DGLSEQD400. It resulted in a dramatic decrease of IF1 affinity.

Minimum IF1 concentrations required to obtain significant inhibition were so high that the equilibrium between active and inhibited forms of the enzyme was reached in a few seconds. As a consequence, the inhibition could not be kinetically solved here and kon could not be estimated. Only the final levels of inhibition could be estimated, which gave a Kd value of almost 200 nM (Table I, Classes C-D). This additive effect of mutations on α and β subunits illustrates the fact that multiple interactions contribute to the binding energy.

4. DISCUSSION 4.1. Rationale. The approach developed here, a combination of site-directed mutagenesis and kinetic experiments, allows identifying domains of ATP synthase involved in initial and late steps of IF1 binding process. Until now only the effect of IF1 modifications on its binding properties have been reported [36-39, 24-25, 11] including only a few kinetic studies [START_REF] Andrianaivomananjaona | How the Nterminal extremity of Saccharomyces cerevisiae IF1 interacts with ATP synthase: a kinetic approach[END_REF][START_REF] Bason | Binding of the inhibitor protein IF1 to bovine F 1 -ATPase[END_REF][START_REF] Robinson | The structure of F 1 -ATPase from Saccharomyces cerevisiae inhibited by its regulatory protein IF1[END_REF]. Here, for the first time, the effects of mitochondrial ATP synthase mutations on IF1 binding kinetics have been investigated.

Residues to be mutated were initially selected on the basis of distances between their homologues and IF1 in the bovine IF1/F 1 -ATPase crystallized complex (pdb file 2v7q). The recently published structure of the equivalent yeast complex (pdb file 3zia) has revealed some differences that will be discussed below. The γ-remote residues of α and β subunits were also selected considering their potential importance for the specific sensitivity of mitochondrial F1-ATPases to IF1. For other F 1 -ATPases inhibitors, specificity indeed depends on critical residues. For example, the aurovertinsensitivity of mitochondrial and E. coli F 1 -ATPases is due to a single residue of β subunit [START_REF] Lee | Identification of a mutation in Escherichia coli F 1 -ATPase beta-subunit conferring resistance to aurovertin[END_REF], which matches structural data [START_REF] Van Raaij | The structure of bovine F 1 -ATPase complexed with the antibiotic inhibitor aurovertin B[END_REF]; the tentoxin-sensitivity of chloroplast and PS3 bacillus F 1 -ATPases [START_REF] Santolini | An insight into the mechanism of inhibition and reactivation of the F 1 -ATPases by tentoxin[END_REF] is determined by a few residues of α and β subunits [START_REF] Avni | Tentoxin sensitivity of chloroplasts determined by codon 83 of beta subunit of proton-ATPase[END_REF][START_REF] Tucker | Role of the ATP synthase alpha-subunit in conferring sensitivity to tentoxin[END_REF]. The case of IF1 appears more complex, since the mutations of the γ-remote residues into their non-mitochondrial counterparts had limited effects.

4.2. F 1 -ATPase motifs or residues implicated in IF1 recognition -In initial binding step IF1 is recognized by a catalytic pair of α and β subunits, the conformation of which differs from that of the (αβ)DP pair in the dead-end inhibited complex. With this restriction in mind, locations of the different residues shown to be implicated in this step are visualized in Figure 6a (yeast IF1/F 1 -ATPase complex, pdb entry 3zia).

In β subunit the C-terminal extremity (E471, A474) is clearly involved in initial binding step. By contrast, neither the couple of residues located in the α-helix preceding the β-DELSEQD motif (T380, S383), nor the β-DELSEQD motif itself are involved in IF1 recognition. It is also interesting to wonder which IF1 residues might be implicated. In the bovine F 1 -ATPase crystallized complex with bound IF1, residues E471 and A474 of βDP are close to residues L42, L45 and K46 of IF1, whereas in the yeast complex the homologue region of IF1 is not visible. Interestingly, mutation into alanine of yeast IF1-L40, the homologue of bovine IF1-L45, has been recently shown to decrease kon by a factor of 5 [START_REF] Robinson | The structure of F 1 -ATPase from Saccharomyces cerevisiae inhibited by its regulatory protein IF1[END_REF]. This matches the 7-fold decrease of kon observed here for the double mutation βE471K-βA474E. It therefore strengthens the idea that interaction between the β C-terminal extremity and IF1 midpart, presumably IF1-L40 or its neighbours, is involved in the recognition step.

In α subunit the GSDLDAST motif also seems implicated in IF1 recognition, but much less than the C-terminal extremity of β subunit. αD411 seems to have the main contribution, but in the αDP subunit of the yeast crystal it is not really close to IF1, and its homologue αD409 is not visible in the bovine crystal. It should be mentioned that interactions involved in recognition might be transient, and not present in the dead-end inhibited state thought to be that of the crystallized complex. Finally, residues of αDP subunit bordering IF1 midpart (αE357, αY399, αR400, αV402, αQ418) do not play any role in initial binding step.

Among the residues that we have mutated, those belonging to the C-terminal extremity of β subunit play the major role in IF1 recognition. This part of β protrudes from the complex regardless the catalytic state of the interface, which is a facility in IF1 grasping.

4.3. F 1 -ATPase motifs or residues implicated in the inhibited complex stabilization -After the loose IF1 binding during the recognition step [START_REF] Corvest | The binding mechanism of the yeast F 1 -ATPase inhibitory peptide: role of catalytic intermediates and enzyme turnover[END_REF][START_REF] Corvest | Insight into the bind-lock mechanism of the yeast mitochondrial ATP synthase inhibitory peptide[END_REF], partial catalytic turnover modifies subunit-subunit interactions and IF1-F 1 interactions. This leads to the final inhibited state. In β subunit, the C-terminal extremity (E471, A474) poorly contributes to stabilize the inhibited complex. The DELSEQD motif of β subunit, and more especially E395, has a more significant contribution on the basis of the koff increase resulting from mutations. This result needs to be related to the interactions of βDP and βTP subunits with IF1 and γ subunit in the crystallized yeast IF1-inhibited F 1 -ATPase complex (Figure 6b). In the βDP subunit, E395 does not interact with IF1, the closest residue of which is distant by more than 9 Å. On the other hand, the lateral chain of βDP-E395 closely interacts with γ subunit, with distances lower than 3 Å.

It may establish a salt bridge with γ-R30 and attractive electrostatic interactions with γ-R30 and γ-K81. In the βTP subunit (not visible in Fig. 6b), the only IF1 residue located in the neighbouring of E395 is R20, with a distance higher than 4.7 Å. The βE398 residue also contributes, to a lower extent, to stabilize the inhibited complex. In βDP, its lateral chain may establish a salt bridge with IF1-R32. In βTP, it makes a H-bond with γ-Q117. Both interactions may play a role. Overall, residues of the β-DELSEQD motif which contributes the most to IF1 locking interact more with the γ subunit than with IF1 in the crystallized complex.

In α subunit, the GSDLDAST motif has a sizeable role in the stability of the inhibited complex.

Except for a possible hydrophobic interaction between αL412 and IF1-F27 (distance 4.2 Å) and a possible electrostatic interaction between αD413 and IF1-R30, α-GSDLDAST does not establish specific interactions with IF1. Since koff grossly increases with the number of glycine substitution mutations, this effect is likely due to steric hindrance decrease. The αDP-GSDLDAST motif forms pliers together with βDP subunit, and its lateral chains probably contribute to limit IF1 movements within these pliers. It should be noted that αDP-GSDLDAST is close not only to IF1, but also to the 115KMQLL119 motif of the γ subunit. Therefore contacts between α-GSDLDAST and the foot of γ subunit may contribute to the rigidity of pliers. Although quite modest, the effect of mutagenesis of γ-M116G-Q117G is detectable, and then it is consistent with this view. A more extensive mutagenesis of this region of γ would be susceptible to confirm or infirm this proposal.

Among the α subunit residues we have mutated, one or several of the five residues bordering IF1 midpart (αE357, αY399, αR400, αV402, αQ418) contribute only a little to the stability of the inhibited complex. Their simultaneous mutation into their non-mitochondrial counterparts results in a 2.5-fold koff increase. Except for V402L, these mutations globally decrease the volume of the lateral chains. Thus some of these residues probably limit movements of IF1 trapped in the cavity between αDP and βDP.

Compared to α-GSDLDAST, the effect of mutagenesis is much less important. This could be due to the nature of the mutations of the residues, to their relative remoteness from IF1 suggested by the yeast crystal, or to the lack of stabilizing interaction with the γ subunit.

Residues involved in stabilization of the inhibited complex were found in different regions of α and β subunits interacting not only with IF1, but also with the foot of γ subunit. This supports the idea that a part of the stabilization energy of the inhibited complex is brought by α/γ and/or β/γ interactions.

4.4. Possible distortion of F 1 -ATPase by IF1 binding -Since IF1 locking may involve contacts not only between the inhibitory peptide and ATP synthase, but also between different subunits of the enzyme, it is interesting to know how the latter can be distorted by IF1 binding. This can be done by comparing the published structures of F 1 -ATPase with and without bound IF1. In most of IF1-free bovine crystals (e.g. pdb files 1bmf, 1e79 and 2jdi for F 1 -ATPase, 2xnd for c8-F 1 -ATPase) F 1 -ATPases have similar conformations [START_REF] Abrahams | Structure at 2.8 Å resolution of F 1 -ATPase from bovine heart mitochondria[END_REF][START_REF] Gibbons | The structure of the central stalk in bovine F 1 -ATPase at 2.4 Å resolution[END_REF][START_REF] Bowler | Ground state structure of F 1 -ATPase from bovine heart mitochondria at 1.9 Å resolution[END_REF][START_REF] Watt | Bioenergetic cost of making an adenosine triphosphate molecule in animal mitochondria[END_REF]. This is not the case for yeast. The crystal of IF1-free yeast F 1 -ATPase with two catalytic nucleotides (pdb file 2hld) contains three non-equivalent copies of the complex [START_REF] Kabaleeswaran | Novel features of the rotary catalytic mechanism revealed in the structure of yeast F 1 ATPase[END_REF]. Only two copies (I and II) have the major part of their structure solved. Copy II looks similar to bovine F 1 -ATPase, but copy I is different and in particular its (αβ)DP catalytic interface is noticeably more open, as in crystallized yeast c10-F 1 -ATPase (pdb file 3zry) [START_REF] Dautant | Crystal structure of the Mg.ADP-inhibited state of the yeast F1c10-ATP synthase[END_REF]. In the following, copy II of pdb file 2hld will be considered the most probable conformation of IF1-free yeast F 1 -ATPase.

The crystallographic structures of F 1 -ATPase with bound IF1 are 2v7q for bovine [START_REF] Gledhill | How the regulatory protein, IF1, inhibits F 1 -ATPase from bovine mitochondria[END_REF] and 3zia

for yeast [START_REF] Robinson | The structure of F 1 -ATPase from Saccharomyces cerevisiae inhibited by its regulatory protein IF1[END_REF]. The latter contains two copies that are quite similar. In bovine case, comparison of these structures with IF1-free structures as defined above suggests that interaction between the motifs homologous to αDP-409GSDLDAST416 and γ116MQLL119 occurs only after IF1 binding. This IF1dependent distortion due to incomplete closure of (αβ)DP catalytic interface is not observed in yeast crystals, where the two motifs always appear in contact. The situation is different for the contact between βDP-DELSEQD motif (especially E395) and γ subunit. In yeast this interaction seems to be a consequence of IF1 binding. In bovine and in yeast the γ subunit residues interacting with βDP-E395 are not homologous, and in bovine their interaction does not seem to depend on IF1 binding.

Comparison of structures with and without IF1 also provides a clue for the role of αS410 in 409GSDLDAST416 motif. The koff decrease due to αS410G mutation suggests that αS410 weakens the stability of the IF1-inhibited complex. This residue makes a H-bond with αA406 in the yeast IF1-free crystal, but not in the yeast IF1-inhibited one. This H-bond could stabilize the loop containing S410 in its non-inhibited conformation, and therefore its suppression by mutagenesis might displace the equilibrium towards the conformation inhibited by IF1.

Examination of published structural data may help to know whether distortions of the catalytic interface by IF1 binding indirectly contribute to the stabilization of the inhibited complex, by favouring contacts between the stator and the rotor. However, these distortions may differ between species. In the yeast case, the evidence for such distortions depends on the choice of the IF1-free state. when a single subunit was mutated. These values are moderate and range in the same order of magnitude as those previously obtained after deleting the N-terminal extremity of IF1 [START_REF] Andrianaivomananjaona | How the Nterminal extremity of Saccharomyces cerevisiae IF1 interacts with ATP synthase: a kinetic approach[END_REF]. This illustrates the fact that binding energy is shared between lots of interactions. We think that the lowest energetic contributions (2 kJ mol-1) are not due to specific interactions, but to steric hindrance limiting the mobility of IF1 within its binding site. Although low, these values are significant and may reveal proximities that cannot be deduced from structural data. For example, the couple βDP-E471-A474 is in contact with IF1 residues that are not visible in the yeast IF1-inhibited F 1 -ATPase complex. Interestingly, the loss of binding energy due to the combination of 11DLD13 deletion in α and E395G in β is 16.6 kJ mol-1. It is the sum of energy losses associated with separate mutations: 10.5 kJ mol-1 for α-11DLD13 deletion and 6.0 kJ mol-1 for β-E395G. These numbers should be cautiously considered regarding uncertainties on the Kd value for the WT enzyme. Nevertheless, they suggest that α-GSDLDAST and β-DELSEQD motifs would independently contribute to IF1 binding energy. This example shows that combinations of different mutations could reveal possible cooperativity between different contact zones within the IF1inhibited F 1 -ATPase complex. binding brings αDP-GSDLDAST closer to γ in the bovine case and brings βDP-DELSEQD closer to γ in the yeast case. Another contribution to locking comes from the N-terminal part of IF1 that penetrates in the complex and interacts with γ and internal parts of α and β subunits. IF1-F17, located at the boundary between the α-helical midpart of IF1 and the flexible N-terminal extremity, also plays a key role in stabilization of the inhibited complex [START_REF] Ichikawa | The region from phenylalanine-17 to phenylalanine-28 of a yeast mitochondrial ATPase inhibitor is essential for its ATPase inhibitory activity[END_REF][START_REF] Andrianaivomananjaona | How the Nterminal extremity of Saccharomyces cerevisiae IF1 interacts with ATP synthase: a kinetic approach[END_REF]. To make exhaustive this dynamic scheme, a more systematic program of mutagenesis should be undertaken. More than the precise role of key residues, the present pioneering work reveals the global role of different motifs and regions in the different steps of inhibition by IF1. This approach notably improves our knowledge of its mechanism. Other aspects remain In dark blue, the most conserved residues and in light blue, the less conserved residues. In red, γ remote residues corresponding to residues αE357, αY399, αR400, αV402, and αQ418 (yeast nomenclature). In grey, residues in the neighbouring of the foot of γ subunit corresponding to the S. cerevisiae α-SDLDAST sequence.

  Abbreviations ............................................................................................................ 1. Introduction ......................................................................................................1.1. Mitochondrion ............................................................................................... 1.1.1. History and diseases ................................................................................. 1.1.2. Main structure and function .................................................................... a) Outer mitochondrial membrane ........................................................... b) Intermembrane space .......................................................................... c) Inner mitochondrial membrane ........................................................... d) Matrix ................................................................................................... 1.1.3. Electron transport chain ...........................................................................a) Complex I or NADH dehydrogenase ..................................................... b) Complex II or succinate dehydrogenase ............................................... c) Complex III or complex bc 1 ................................................................... d) Complex IV or cytochrome c oxidase .................................................... e) Coupling with ATP production via ATP synthase, complex V ................ 1.2. ATP synthase ..................................................................................................

Figure 1 .

 1 Figure 1. Ultra-fine-structure of mitochondria revealed by HRSEM ..............................

Figure 2 .

 2 Figure 2. Model of mitochondrial components. .............................................................

Figure 3 .

 3 Figure 3. Representation of S. cerevisiae mitochondrial electron transport chain. .......

Figure 4 .

 4 Figure 4. Electron microscopic images of ATP synthase from various organisms. .........

Figure 5 .

 5 Figure 5. Simplified representation of yeast F o F 1 ATP synthase structure .....................

Figure 6 .

 6 Figure 6. Models of F o F 1 ATP synthases representing Saccharomyces cerevisiae mitochondrial ATP synthase and Escherichia coli ATP synthase ....................................

Figure 7 .

 7 Figure 7. 3D structure of E. coli subunit c monomer determined by NMR, and representation of E. coli subunits a-c 12 . .........................................................................

Figure 8 .

 8 Figure 8. Structure of F 1 -ATPase from Saccharomyces cerevisiae. ................................

Figure 9 .

 9 Figure 9. X-ray crystal structures of yeast and bovine F 1 c 10 -ATP synthase. ...................

Figure 10 .

 10 Figure 10. Observation of dimeric yeast mitochondrial ATP synthase by electron microscopy .....................................................................................................................

Figure 11 .

 11 Figure 11. First direct observation of the γ subunit rotation in the α 3 β 3 γ subcomplex .

Figure 12 .

 12 Figure 12. Observation of the c subunit rotation in F 1 -ATPase of E. coli. .......................

Figure 13 .

 13 Figure 13. Observation of Bacillus PS3 F 1 -ATPase stepwise rotation .............................

Figure 14 .

 14 Figure 14. Simultaneous observation system of Bacillus PS3 F 1 -ATPase rotation and ATP binding ...........................................................................................................................

Figure 15 .

 15 Figure 15. Models for the generation of rotation by proton transport through the F o domain of bacterial ATP synthase. .................................................................................

Figure 16 .

 16 Figure 16. Model of ATP synthase rotary catalysis annotated according to Boyer's classic model ..................................................................................................................

Figure 17 .

 17 Figure 17. Stereo view of the 2.2 Å crystal structure of bovine IF1 ...............................

Figure 18 .

 18 Figure 18. Protein sequence alignment of bovine and yeast IF1. ..................................

Figure 19 .

 19 Figure 19. Stereo view of the 2.5 Å crystal structure of yeast IF1 from the inhibited IF1-MF 1 complex. .................................................................................................................

Figure 20 .

 20 Figure 20. Representation of IF1 inhibition of mitochondrial ATPase. ..........................

Figure 21 .

 21 Figure 21. Representation of ε subunits regulation of bacterial ATPase. ......................

Figure 22 .

 22 Figure 22. Overview of site-directed mutagenesis principle. .........................................

Figure 23 .

 23 Figure 23. Overview of bacteria transformations. .........................................................

Figure 24 .

 24 Figure 24. Principle of IF1 overexpression in E. coli BL21(DE3) ......................................

Figure 25 .

 25 Figure 25. ATP regeneration system using pyruvate kinase and lactate dehydrogenase .......................................................................................................................................

Figure 26 .

 26 Figure 26. Spectrophotometric recording of ATP hydrolysis and IF1 inhibition in real time kinetics. ..................................................................................................................

Figure 27 .

 27 Figure 27. Bovine mitochondrial F 1 -ATPase, IF1-free or IF1-bound. ..............................

Figure 28 .

 28 Figure 28. Zoom of IF1 binding region in bovine mitochondrial F 1 -ATPase. ..................

Figure 29 .

 29 Figure 29. Yeast mitochondrial F 1 -ATPase, IF1-free or IF1-bound. ................................

Figure 30 .

 30 Figure 30. Zoom of IF1 binding region in yeast mitochondrial F1-ATPase. ....................

Figure 31 .

 31 Figure 31. Sequence alignment on α subunit of mitochondrial and non-mitochondrial ATP synthases. ...............................................................................................................

Figure 32 .

 32 Figure 32. Sequence alignment on β subunit of mitochondrial and non-mitochondrial ATP synthase. .................................................................................................................

Figure 33 .

 33 Figure 33. Experimental determination of IF1 binding parameters to SMP WT. ...........

Figure 34 .

 34 Figure 34. Experimental determination of IF1 binding parameters to MF 1 WT, and SMP WT. .................................................................................................................................

Figure 35a .

 35a Figure 35a. Experimental determination of k on value comparing SMP WT and α 409 GS---AST 416 with or without centrifugation ............................................................

Figure 35b .

 35b Figure 35b. Experimental determination of K d value comparing SMP WT and α 409 GS---AST 416 with or without centrifugation ............................................................Figure 35c. Experimental determination of k off value comparing SMP WT and α 409 GS---AST 416 with or without centrifugation ............................................................

Figure 36 .

 36 Figure 36. Yeast IF1 inhibiting ATP hydrolysis of purified F 1 -ATPases from different organisms. ....................................................................................................................

Figure 37 .

 37 Figure 37. Bovine and yeast crystal structures showing the selected residues in F 1 -ATPase β subunit for IF1 specificity study. ...................................................................

Figure 38 .

 38 Figure 38. Yeast crystal structures showing the selected residues in F 1 -ATPase α subunit for IF1 specificity study. ..................................................................................

Figure 39 .

 39 Figure 39. IF1 inhibition of wild type and mutant SMP from yeast. .............................

Figure 40 .

 40 Figure 40. Experimental data of mutants in group A and determination of IF1 binding parameters. ..................................................................................................................

Figure 41 .

 41 Figure 41. Experimental data of mutants in group B and determination of IF1 binding parameters ...................................................................................................................

Figure 42 .

 42 Figure 42. Interaction between βDP-E471, A474 and IF1 midpart in bovine IF1-F 1 -ATPase. .........................................................................................................................

Figure 43 .

 43 Figure 43. Zoom of residues in Group C and D in bovine mitochondrial F1-ATPase. ...

Figure 44a .

 44a Figure 44a. Group C: rate constant of inhibition (k app ) as a function of IF1 concentration. ..............................................................................................................

Figure 44b .

 44b Figure 44b. Group C: normalized ATPase activity at equilibrium as a function of IF1 concentration ...............................................................................................................

Figure 44c .

 44c Figure 44c. Group C: normalized ATPase activity at equilibrium as a function of 1/k app .....................................................................................................................................

Figure 45 .

 45 Figure 45. Kinetic constants of IF1 binding and release after mutagenesis of Group C residues. .......................................................................................................................

Figure 46 .

 46 Figure 46. Experimental data of mutants in group D and determination of IF1 binding parameters. ..................................................................................................................

Figure 47 .

 47 Figure 47. Kinetics of ATP hydrolysis and IF1 inhibitions of yeast wild type and the "double mutant" SMP. .................................................................................................

Figure 48 .

 48 Figure 48. Interaction between αDP 409 GSDLDAST 416 and its neighbouring residues. ..

Figure 49 .

 49 Figure 49. Interaction between β-DELSEQD and its neighbouring residues. ...............

Figure 50 .

 50 Figure 50. Representation of IF1 binding-locking process in yeast mitochondrial ATPase. .........................................................................................................................

  Abbreviations

  to be localized mainly to mitochondria. More recent work on mitochondrial ATPase regulator IF1 (description in paragraph 1.3) revealed that in tumor cells IF1 overexpression inhibits the oxidative phosphorylation causing membrane hyperpolarization and favoring the aerobic glycolysis by ROS-mediated activation of NFkB which results in cell proliferation. It suggested that IF1 would inhibit both ATP synthesis and hydrolysis depending on the mass action ratio. (Formentini et al, 2012; Sanchez-Cenizo et al, 2010). Conversely, it has been proposed that in the hypoxic conditions of cancer cells, IF1 is involved in protecting tumor cells from excess ROS production and ROS-mediated apoptosis (Faccenda & Campanella, 2012).

Figure 1 .

 1 Figure 1. Ultra-fine-structure of mitochondria revealed by HRSEM (High-Resolution Scanning Electron Microscopy) (Perkins & Frey, 2000).

Figure 2 .

 2 Figure 2. Model of mitochondrial components.

Figure 3 .

 3 Figure 3. Representation of S. cerevisiae mitochondrial electron transport chain (Rigoulet et al, 2010).

Figure 4 .

 4 Figure 4. Electron microscopic images of ATP synthase from various organisms.

Figure 5 .

 5 Figure 5. Simplified representation of yeast F o F 1 ATP synthase structure (according to the thesis of Vincent Corvest, 2006).

Figure 5

 5 Figure 5 is a simplified image representing yeast F o F 1 ATP synthase architecture,

Figure 6 .

 6 Figure 6. Models of F o F 1 ATP synthases representing Saccharomyces cerevisiae mitochondrial ATP synthase and Escherichia coli ATP synthase.

Figure 7 .

 7 Figure 7. 3D structure of E. coli subunit c monomer determined by NMR, and representation of E. coli subunits a-c 12 .

Figure 8 .

 8 Figure 8. Structure of F 1 -ATPase from Saccharomyces cerevisiae.

Figure 9 .

 9 Figure 9. X-ray crystal structures of yeast and bovine F 1 c 10 -ATP synthase.

Figure 10 .

 10 Figure 10. Observation of dimeric yeast mitochondrial ATP synthase by electron microscopy (Thomas et al, 2008).

Figure 11 .

 11 Figure 11. First direct observation of the γ subunit rotation in the α 3 β 3 γ subcomplex (Noji et al, 1997).

Figure 12 .

 12 Figure 12. Observation of the c subunit rotation in F 1 -ATPase of E. coli (Sambongi et al, 1999).

Figure 13 .

 13 Figure 13. Observation of Bacillus PS3 F 1 -ATPase stepwise rotation (Yasuda et al, 2001).

Figure 14 .

 14 Figure 14. Simultaneous observation system of Bacillus PS3 F 1 -ATPase rotation and ATP binding (Nishizaka et al, 2004).

Figure 15 .

 15 Figure 15. Models for the generation of rotation by proton transport through the F o domain of bacterial ATP synthase.

  molecules of ATP per cycle, the various number of c subunit monomers automatically leads to different H + /ATP ratio. This ratio is also related to the number of ATP molecules synthesized by mitochondrial respiration. So it is an important parameter influencing the cell bioenergetics. In different species, the c ring monomers vary from 8 to 15. So the H + /ATP ratio are expected to vary from 2.7 to 5. Experimental determination of the H + /ATP ratios revealed values of 4 for chloroplast (theoretical values of 4.67) and E. coli ATP synthase (theoretical values of 3.33)[START_REF] Steigmiller | The thermodynamic H+/ATP ratios of the H+-ATPsynthases from chloroplasts and Escherichia coli[END_REF]; 3 for yeast mitochondrial ATP synthase (theoretical values of 3.33)[START_REF] Petersen | Comparison of the H+/ATP ratios of the H+-ATP synthases from yeast and from chloroplast[END_REF].

Figure 16 .

 16 Figure 16. Model of ATP synthase rotary catalysis (Yoshida et al, 2001) annotated according to Boyer's classic model.

Figure 16

 16 Figure 16 shows the binding change mechanism when ATP synthase functions in the direction of ATP hydrolysis, which is based on Boyer's classic binding change mechanism. Taking one of the three catalytic sites as an example (top site colored in

  important cellular functions, such as flagella motility or ion\nutrients transmembrane transport are supported. Clearly, ATP hydrolysis activity is mostly a potential danger to a living cell, so ATP synthase has several regulatory mechanisms to prevent futile ATP wasting. Several regulatory mechanisms are known to suppress the ATPase activity. 1) Non-competitive inhibition by MgADP, a feature shared by F o F 1 from bacteria, chloroplasts and mitochondria. 2) Inhibition by subunit ε in chloroplast and bacterial enzymes. 3) Inhibition upon oxidation of two cysteines in subunit γ in chloroplast F o F 1.

Figure 17 .

 17 Figure 17. Stereo view of the 2.2 Å crystal structure of bovine IF1 (Cabezon et al, 2001).

Figure 18 .

 18 Figure 18. Protein sequence alignment of bovine and yeast IF1.

Figure 19 .

 19 Figure 19. Stereo view of the 2.5 Å crystal structure of yeast IF1 from the inhibited IF1-MF 1 complex (Robinson et al, 2013).

Figure 20 .

 20 Figure 20. Representation of IF1 inhibition of mitochondrial ATPase.

Figure 21 .

 21 Figure 21. Representation of ε subunits regulation of bacterial ATPase.

  ). The oligonucleotide primers, each complementary to opposite strands of the vector, are extended during temperature cycling by PfuTurbo DNA polymerase.Incorporation of the oligonucleotide primers generates a mutated plasmid containing staggered nicks. Following temperature cycling, the product is treated with Dpn I. The Dpn I endonuclease is specific for methylated and hemimethylated DNA and is used to digest the parental DNA template and to select for mutation-containing synthesized DNA. DNA isolated from almost all E. coli strains is dam methylated and therefore susceptible to Dpn I digestion. The nicked vector DNA containing the desired mutations is then transformed into XL1-Blue cells. XL1-Blue cells then repair the nicks in mutated plasmid.

Figure 22 .

 22 Figure 22. Overview of site-directed mutagenesis principle.

Figure 23 .

 23 Figure 23. Overview of bacteria transformations.

  large volume (3 to 8 L) at 30°C. Cell density was estimated by spectrophotometer absorption at 600nm. The stage of population tells if the population is in lag phase, exponential phase, or stationary phase. Our culture harvests were always at late state of their exponential growth phase, around OD 7. One entire mitochondria preparation lasts 4 days including cell culture. On day 4, cell harvest was centrifuged at 2500 xg during 5 min. Cell pellet was washed and digested by zymolyase 20T (200U/ g dry cell).

  E. coli BL21(DE3) is a protein expressing strain. The gene encoding lac operon was substituted by the gene encoding T7 RNA polymerase (cassette DE3). The induction system was based on the lactose operon function. The principle of IF1 overexpression in E. coli BL21(DE3) is described in figure 24.

Figure 24 .

 24 Figure 24. Principle of IF1 overexpression in E. coli BL21(DE3) (adapted to the thesis of Andrianaivomananjaona, 2011).

Figure 25 .

 25 Figure 25. ATP regeneration system using pyruvate kinase and lactate dehydrogenase.

Figure 26 .

 26 Figure 26. Spectrophotometric recording of ATP hydrolysis and IF1 inhibition in real time kinetics.

(

  rotor). The inhibitor protein IF1 inserts in one catalytic pair of αβ subunits. Crystal structures are shown in figure 27. Target residues of this work are highlighted in sphere. Top views (seeing from the top of F o part) of the enzyme (c, d) show the three catalytic pairs of αβ subunits in ribbon with their names and orientations, and γ subunit in the centre. The three catalytic αβ interfaces are in different conformations.

Figure 27 .

 27 Figure 27. Bovine mitochondrial F 1 -ATPase, IF1-free or IF1-bound.

Figure 28 .

 28 Figure 28. Zoom of IF1 binding region in bovine mitochondrial F 1 -ATPase.

F 1 -F 1 -

 11 ATPase crystal structures, with or without IF1In this work, yeast mitochondrial F 1 -ATPase, which is homologue with bovine mitochondrial F 1 -ATPase, is our biological model. The three catalytic pair of α β subunits share the same nomenclature as described in bovine structure, which form the three catalytic interfaces referring (αβ)TP, (αβ)DP and (αβ)E. The inhibitor protein IF1 inserts in catalytic interface of (αβ)DP, as in bovine. Structures used in this work refer to pdb files 2hld and 3zia, corresponding to IF1-free and IF1-bound complexes[START_REF] Kabaleeswaran | Novel features of the rotary catalytic mechanism revealed in the structure of yeast F1 ATPase[END_REF][START_REF] Robinson | The structure of F(1)-ATPase from Saccharomyces cerevisiae inhibited by its regulatory protein IF(1)[END_REF]. The crystal of yeast IF1-free F 1 -ATPase (pdb file 2hld) contains three non-equivalent copies of the complex. Only two copies (I and II) have the major part of their structure solved. Copy II is more similar to bovine F 1 -ATPase with the same state whereas copy I is different. In particular its (αβ)DP catalytic interface is noticeably more open, as observed in crystallised yeast c 10 -ATPase (pdb file 3zry)[START_REF] Dautant | Crystal structure of the Mg.ADPinhibited state of the yeast F1c10-ATP synthase[END_REF]. After analysing the structures, we basically consider the copy II of pdb file 2hld as the most probable conformation of yeast IF1-free F 1 -ATPase in this current work. And it is used through the whole study except for special indications. The crystallographic structures of yeast IF1-bound F 1 -ATPase discussed here is the lately published 3zia.[START_REF] Robinson | The structure of F(1)-ATPase from Saccharomyces cerevisiae inhibited by its regulatory protein IF(1)[END_REF]. The latter contains two copies that are quite similar. This is the first published structure of yeast IF1-bound F 1 -ATPase. Before this, our structure analyses of IF1 inhibited F 1 -ATPase of yeast was series of work including analyses of yeast IF1-free structure, analyses of yeast homologue structures (specially bovine crystal structures +/-IF1), sequence alignment and simulation of yeast IF1-bound structure. Since bovine and yeast crystal structures are quite similar, most of the analyses in bovine adapt well in yeast. A few reasonable distance changes will be compared between the two crystals and discussed in following paragraphs. Presentations of yeast crystal structures are shown in figure 29. Target residues of this work are highlighted in sphere. Top views of the enzyme (c, d) show the three catalytic pairs of αβ subunits in ribbon with their names and orientations, and γ subunit in the center. Side views of the enzyme (a, b) show the (αβ)DP catalyticinterface of yeast F 1 -ATPase, as well as IF1 inserting site. In the inhibited complex, IF1 midpart is inserted in the (αβ)DP catalytic interface. Its N-terminal part mainly interacts with the central axis of γ subunit, similar as in bovine structure. The difference from bovine IF1 is that this time yeast IF1 was fully expressed but the Cterminal part was partially solved. The full length of yeast IF1 is 63aa, only 1-36 were solved in this crystal[START_REF] Robinson | The structure of F(1)-ATPase from Saccharomyces cerevisiae inhibited by its regulatory protein IF(1)[END_REF]. The C-terminal protruding part is unfortunately invisible in the crystal.

Figure 29 .Figure 30 .

 2930 Figure 29. Yeast mitochondrial F 1 -ATPase, IF1-free or IF1-bound.

Figure 31 .Figure 32 .

 3132 Figure 31. Sequence alignment on α subunit of mitochondrial and non-mitochondrial ATP synthases.

binding to F 1 -

 1 ATPase. Kinetic parameters obtained from different experiments helped us to analyze step-by-step IF1 inhibition of F 1 -ATPase. The calculations are detailed in Material and Methods.

Figure 33 .

 33 Figure 33. Experimental determination of IF1 binding parameters to SMP WT.

Figure 34 .F 1 -

 341 Figure 34. Experimental determination of IF1 binding parameters to MF 1 WT (Corvest et al, 2007; Corvest et al, 2005), and SMP WT.

Figure 35 -

 35 a-b-c shows two examples of kinetic experiments comparing centrifuged or non-centrifuged SMP.

Figure

  Figure 35a. Experimental determination of k on value comparing SMP WT and α 409 GS---AST 416 with or without centrifugation

Figure

  Figure 35b. Experimental determination of K d value comparing SMP WT and α 409 GS---AST 416 with or without centrifugation.

Figure

  Figure 35c. Experimental determination of k off value comparing SMP WT and α 409 GS---AST 416 with or without centrifugation.

Figure 36 .

 36 Figure 36. Yeast IF1 inhibiting ATP hydrolysis of purified F 1 -ATPases from different organisms.

Figure 37 .

 37 Figure 37. Bovine and yeast crystal structures showing the selected residues in F 1 -ATPase β subunit for IF1 specificity study.

Figure 38 .

 38 Figure 38. Yeast crystal structures showing the selected residues in F 1 -ATPase α subunit for IF1 specificity study.

  -S383E, β-E471K-A474E, and β-T380R-S383E-E471K-A474E Centrifuged SMP from Saccharomyces cerevasiae carrying wild type or mutations are examined using kinetic approach. Kinetic experiments of IF1 inhibition were performed at pH 6.5, 25°C (see description in Materials and Methods). Results for a single IF1 concentration are shown in figure 39.

Figure 39 .

 39 Figure 39. IF1 inhibition of wild type and mutant SMP from yeast.

Figure 40 .

 40 Figure 40. Experimental data of mutants in group A and determination of IF1 binding parameters.

Figure 41 .

 41 Figure 41. Experimental data of mutants in group B and determination of IF1 binding parameters

Figure 42 .

 42 Figure 42. Interaction between βDP-E471, A474 and IF1 midpart in bovine IF1-F 1 -ATPase.

  Group D: βDP 394 DELSEQD400 As defined previously, these two groups of residues are located in αDP, βDP subunits Cter. They are highly conserved in ATP synthases. And they interact with the foot of γ subunit as well as IF1. The central shaft γ subunit of ATP synthase connects the F o rotary motor and the F 1 catalytic core. It deforms sequentially the three catalytic pairs of α, β subunits in order to achieve ATP synthesis or hydrolysis. The contact between γ subunit and the C terminal extremity of α, β subunits, especially α, appears after IF1 bound in bovine ATP synthase, but this contact remains more constant in yeast ATP synthase according to the observations of crystal structures with or without IF1 bound. Here we consider that this interaction might indirectly contribute to the inhibitory effect of IF1.

Figure 43 .

 43 Figure 43. Zoom of residues in Group C and D in bovine mitochondrial F1-ATPase.

Figure 44a .

 44a Figure 44a. Group C: rate constant of inhibition (k app ) as a function of IF1 concentration.

Figure 44b .

 44b Figure 44b. Group C: normalized ATPase activity at equilibrium as a function of IF1 concentration.

Figure 44c .

 44c Figure 44c. Group C: normalized ATPase activity at equilibrium as a function of 1/k app .

Figure 45 .

 45 Figure 45. Kinetic constants of IF1 binding and release after mutagenesis of Group C residues.

  5 times to the most pronounced mutant α 409 GS---AST 416 70 times. The k off of the mutants have the same trend of modification. Comparing to the WT, it increases from the first mutant (α 409 GSGLDAST 416 ) 1.7 folds to the most pronounced mutant α 409 GS---AST 416 27.7 folds. One exception of the increasing K d , k off values is the mutation S410G. Mutations including S410G slightly go backwards in their K d , k off values increasing level, such as mutants α 409 GGGGGAST 416 and α 409 GGGGGGGG 416 .

Figure 46 .

 46 Figure 46. Experimental data of mutants in group D and determination of IF1 binding parameters.

Figure 47 .

 47 Figure 47. Kinetics of ATP hydrolysis and IF1 inhibitions of yeast wild type and the "double mutant" SMP.

  Figure 48. Interaction between αDP 409 GSDLDAST 416 and its neighbouring residues.

Figure 49 .

 49 Figure 49. Interaction between β-DELSEQD and its neighbouring residues.

(

  [START_REF] Andrianaivomananjaona | How the N-terminal extremity of Saccharomyces cerevisiae IF1 interacts with ATP synthase: a kinetic approach[END_REF][START_REF] Ichikawa | The region from phenylalanine-17 to phenylalanine-28 of a yeast mitochondrial ATPase inhibitor is essential for its ATPase inhibitory activity[END_REF]) by interacting with central axis of γ and internal parts of α and β subunits.

Figure 50 .

 50 Figure 50. Representation of IF1 binding-locking process in yeast mitochondrial ATPase.

1 1

 1 sites and observed of their conformational transitions as well as biomolecule associations by EPR spectroscopy under different conditions, such as presence of ATP, absence of ATP and so on. The FRET (Fluorescence Resonance Energy Transfer) could dissociate ADP when MgATP is hydrolyzed at a single catalytic site and attains maximal velocity when three catalytic sites are saturated with MgATP. Biochemistry 37: 16757-16764 Duncan TM, Bulygin VV, Zhou Y, Hutcheon ML, Cross RL (1995) Rotation of subunits during catalysis by Escherichia coli F1-ATPase. Proc Natl Acad Sci U S A 92: 10964-10968 Eble KS, Coleman WB, Hantgan RR, Cunningham CC (1990) Tightly associated cardiolipin in the bovine heart mitochondrial ATP synthase as analyzed by 31P nuclear magnetic resonance spectroscopy. J Biol Chem 265: 19434-19440 Efremov RG, Baradaran R, Sazanov LA (2010) The architecture of respiratory complex I. Nature 465: 441-445 Eubel H, Jansch L, Braun HP (2003) New insights into the respiratory chain of plant mitochondria. Supercomplexes and a unique composition of complex II. Plant Physiol 133: 274-286 Faccenda D, Campanella M (2012) Molecular Regulation of the Mitochondrial F(1)F(o)-ATPsynthase: Physiological and Pathological Significance of the Inhibitory Factor 1 (IF(1)). Int J Cell Biol 2012: 367934 Feniouk BA, Suzuki T, Yoshida M (2006) The role of subunit epsilon in the catalysis and regulation of FOF1-ATP synthase. Biochim Biophys Acta 1757: 326-338 Fillingame RH, Angevine CM, Dmitriev OY (2002) Coupling proton movements to c-ring rotation in F(1)F(o) ATP synthase: aqueous access channels and helix rotations at the a-c interface. Biochim Biophys Acta 1555: 29-36 Fillingame RH, Dmitriev OY (2002) Structural model of the transmembrane Fo rotary sector of H+-transporting ATP synthase derived by solution NMR and intersubunit cross-linking in situ. Biochim Biophys Acta 1565: 232-245 Fillingame RH, Jiang W, Dmitriev OY (2000) The oligomeric subunit C rotor in the fo sector of ATP synthase: unresolved questions in our understanding of function. J Bioenerg Biomembr 32: 433-439 Interactions involved in grasping and locking of the inhibitory peptide IF1 by mitochondrial ATP synthase Qian Wu 1, #, Tiona Andrianaivomananjaona 1, #, Emmanuel Tetaud 2, Vincent Corvest 1, 3 and Francis Haraux UMR 8221 CNRS-CEA-Université Paris-Sud, iBiTec-S CEA Saclay, 91191 Gif-sur-Yvette, France qian.wu@cea.fr; tiona.andrianaivomananjaona@cea.fr 2 Institut de Biochimie et Génétique Cellulaires, UMR 5095 CNRS, Université Victor Segalen, 1, rue Camille Saint Saëns, 33077 Bordeaux, France tetaud@ibgc.cnrs.fr 3 present address: Calixar, 7 Passage du Vercors, 69007 Lyon, France vcorvest@calixar.com # Contributed equally to this work Address correspondence to: Francis Haraux, UMR 8221 CNRS-CEA-Université Paris-Sud, iBiTec-S CEA Saclay, 91191 Gif-sur-Yvette, France; Tel.: 33 (0) 1 69 08 98 91; Fax: 33 (0) 1 69 08 87 17; E-mail: francis.haraux@cea.fr 1. INTRODUCTION

  9 10-4 to 2 10-3 s-1, which almost perfectly matches the koff value. Binding constants values at pH 8 are displayed in Table II and kon, koff and Kdkon are shown in Figure 3b. It is confirmed that the quintuple mutation on α subunit had no effect on kon, whereas it increased the koff value and the Kdkon product by about 2.5 fold. It seems that the double mutation β-E471K-A474E or the quadruple mutation β-T380R-S383E-E471K-A474E actually increased by a factor of 2 to 2.5 the dissociation rate constant estimated either by koff or by Kdkon, whereas the double mutation β-T380R-S383E had no effect. 3.4. Effect of mutations of α subunit residues close to the foot of γ subunit -This region of α subunit was chosen for mutagenesis because in the αDP case it interacts with the foot of the γ subunit.This interaction might indirectly contribute to the inhibitory effect of IF1. We studied IF1 binding parameters after mutation into glycine of an increasing number of residues of the 409GSDLDAST416 motif. Results are displayed in TableI(Class C), and Fig.4focuses on the values of IF1 association and dissociation constants. Mutations into glycine resulted in moderate decrease of the kon value and in more pronounced decrease of IF1 affinity. The dissociation rate constant gradually increases with the number of mutated residues, except when S410 is replaced by G, which results in a small decrease of koff : highest koff value was obtained after mutating 6 amino acids into glycine. It reached about 3 10-3 s-1, i.e 15-30 times the value obtained with the WT. Another mutation, which consisted in removing α-D411, α-L412 and α-D413, had a higher effect on koff, which reached here 5 10-3 s-1.

4. 5 .

 5 Energetic considerations -Kd variations induced by the different mutations reflect IF1 binding energy variations. The relationship between the equilibrium constant of dissociation (in M) and the binding energy (in kJ mol-1) is, at 25°C, ΔG0 = -5.7 log10 Kd. The variations observed in this work ranged between 2 kJ mol-1 (about doubling the Kd value) and 10 kJ mol 1 (multiplying Kd by about 70)

4. 6 .

 6 An outline of IF1 binding process -Our work together with structural data analysis and previous functional studies allow proposing the following sequence of events for inhibition of mitochondrial ATP synthase by IF1. First, IF1 midpart is recognized by one of the three catalytic αβ interfaces. It interacts mainly with the very C-terminal extremity of β subunit, but also somehow with the GSDLDAST motif of α subunit. After IF1 loose binding, the enzyme still experiences a fraction of turn and the catalytic interface which has just bound IF1 closes and becomes (αβ)DP, which results in IF1 trapping. Thus αDP-GSDLDAST and βDP-DELSEQD motifs become elements of pliers that encage IF1, where the α-motif interacts more tightly with IF1. The role of β subunit C-terminal extremity becomes much less important than during the initial step. In addition, other αDP residues flanking IF1 midpart modestly contribute to trapping, probably by limiting IF1 movements within the crevice between αDP and βDP. The rigidity of the pliers formed by αDP-GSDLDAST and βDP-DELSEQD is partially ensured by their interactions with the foot of the γ subunit. These α-γ and β-γ interactions could be slightly different in bovine and yeast enzymes according to the structure comparisons, which suggest that IF1

FIGURE 1 .F 1 -

 11 FIGURE 1. Location of the mutated residues in the yeast F 1 -ATPase inhibited with IF1 and of corresponding residues in the bovine species. Left image, S. cerevisiae model, pdb entry 3zia; only residues 1-36 of IF1 were solved. Right image, B. taurus model, pdb entry 2v7q; only residues 8-50 of truncated IF1 containing residues 1-60 were solved. Image created using PyMol software. Only αDP, βDP, γ and IF1 are represented for the sake of clarity. A, B, group of discrete residues remote from the foot of γ subunit; A, residues located on αDP subunit, close to the catalytic interface entrapping IF1 midpart; B, residues located on βDP subunit, close to the N-extremity or to the midpart of IF1; C, D, groups of contiguous residues close to the foot of γ subunit, only a part of which are close to IF1; C, residues located on αDP subunit; D, residues located on βDP subunit. The topological arrangement of all F 1 -ATPase subunits is recalled by the scheme in the right part of the figure. Nomenclature of catalytic interfaces (DP, TP, E) is defined by their nucleotide occupancy in the reference 3D structural model (12), see Introduction for details.

FIGURE 2 . 1 ,

 21 FIGURE 2. Data from single typical experiments carried out with SMP from three different cell lines and determination of binding parameters. Conditions as described under Material and Methods, pH 6.5. ( ■ ) WT; ( ) α Δ[D411 L412 D413]; ( ) β E471K A474E. Panel a, rate constant of inhibition (kapp) as a function of IF1 concentration, for kon determination. Panel b, normalized ATPase activity at equilibrium as a function of IF1 concentration, for Kd determination. Panel c, normalized ATPase activity at equilibrium as a function of 1/kapp, for koff determination. Enlarged view of WT data is displayed in b and c. Resulting parameters: WT, kon = (4.7 ± 0.3) 105 M 1 s 1, Kd = (3.0 ± 1) 10 10 M, koff = (2.3 ± 0.8) 10 4 s 1, koff / Kdkon = 1.6 ± 1.2; α Δ[D411 L412 D413], kon = (2.2 ± 0.6) 105 M 1 s 1, Kd = (1.18 ± 0.08) 10 8 M, koff = (3.6 ± 0.3) 10 3 s 1, koff / Kdkon = 1.4 ± 0.5; β E471K A474E, kon = (7.9 ± 0.2) 104 M 1 s 1, Kd = (1.4 ± 0.2) 10 9 M, koff = (1.1 ± 0.1) 10 4 s 1, koff / Kdkon = 1.05 ± 0.26). The koff / Kdkon ratio should theoretically be 1.

FIGURE 3 .

 3 FIGURE 3. Kinetic constants of IF1 binding and release after mutagenesis of group A and group B residues. (a), pH 6.5; (b), pH 8. For a better comparison, 1/kon, and not kon, has been plotted in the left. increase of 1/kon, like increase of koff, results in a loss of affinity of IF1 for ATP synthase. The dissociation constant is expressed by koff (grey bars) or by the product Kdkon (hatched bars). The effects of mutations on kon are similar at pH 6.5 and pH 8. The effect on koff and Kdkon appears more consistent at pH 8 than at pH 6.5 (see text for details).

FIGURE 4 .

 4 FIGURE 4. Kinetic constants of IF1 binding and release after mutagenesis of group C residues.Data from TableII. Mutated or deleted residues are indicated by black, bold, underlined characters. The WT sequence is GSDLDAST. For a better comparison, 1/kon, and not kon, has been plotted in Panel a; increase of 1/kon, like increase of koff, results in a loss of affinity of IF1 for ATP synthase. Panel b,

FIGURE 5 .

 5 FIGURE 5. Binding parameters obtained at pH 8 with SMP from wT and γ subunit mutants. Conditions as described under Materials and Methods. Averaged data from at least three different experiments. ( ■ ) wT; ( ) γ M116G Q117G; ( Δ ) γ M116G Q117G L118G. Panel a, rate constant of inhibition (kapp) as a function of IF1 concentration, for kon determination. Panel b, normalized ATPase activity at equilibrium as a function of IF1 concentration, for Kd determination. Panel c, normalized ATPase activity at equilibrium as a function of 1/kapp, for koff determination. Resulting parameters: wT, kon = (2.21 ± 0.09) 105 M 1 s 1, Kd = (9.1 ± 0.6) 10 9 M, koff = 1.84 ± 0.13) 10 3 s 1, koff / Kdkon = 0.92 ± 0.16; γ M116G Q117G, kon = (2.2 ± 0.1) 105 M 1 s 1, Kd = (1.98 ± 0.15) 10 8 M, koff = (3.09 ± 0.08) 10 3 s 1, koff / Kdkon = 0.72; γ M116G Q117G L118G, kon = (2.56 ± 0.12) 105 M 1 s 1, Kd = (9.00 ± 0.58) 10 9 M, koff = (2.12 ± 0.081) 10 3 s 1, koff / Kdkon = 0.92.

FIGURE 6 .

 6 FIGURE 6. Yeast F 1 -ATPase motifs or residues involved in IF1 recognition and locking. Images created from the pdb file 3zia using PyMol software. IF1 (residues 1-36, shown in grey sticks and ribbon) is mainly located between αDP (green) and βDP (red) subunits. Panel a, IF1 residues 37-40, not visible in yeast structure, were added according to the homologue bovine structure (magenta sticks and ribbon) to show the possible proximity to βDP-E471, A474 (orange sticks). Highlighted motifs in both αDP and βDP subunits are implicated in IF1 recognition step. βDP-E471, A474 play a more important role than motif α-409GSDLDAST416 (green sticks and ribbon), in which D411, L412 and D413 have the main contribution. Panel b, γ subunit appears in blue. The motif α-409GSDLDAST416 (green sticks and ribbon) and the motif β-394DELSEQD400 (dark red sticks, E395 in light red), located on left and right side of IF1, respectively, play the major role in IF1 locking step. The group of residues αDP-E357-Y399-R400-V402-Q418 (green sticks) has a less important contribution, as well as βE471, A474 represented in Panel a. Highlighted residues M116, Q117 in γ subunit (black sticks) participate indirectly in IF1 locking through the possible interaction with α-409GSDLDAST416. Similarly, γ-R30 (black stick, residue not mutated) could contribute to IF1 locking through the potential interaction with β-394DELSEQD400.

Figure SM1 .

 SM1 Figure SM1. Sequences of primers used for PCR mutagenesis of atp1, atp2 and atp3 genes as described under Materials and Methods.

  Figure SM2(a). Sequence alignment on α subunit of mitochondrial and nonmitochondrial ATP synthase. Sequence alignment was done with Jalview software using MAFFT alignment program. The above numbering is related to the numbering of the sequence of alpha subunit from Saccharomyces cerevisiae. Sequence from residue 352 to 363 and from 395 to 423 are shown. 42 sequences of mitochondrial and nonmitochondrial (chloroplastic and bacterial) α subunits were compared. Percentage identity is shown in blue. In dark blue, the most conserved residues and in light blue, the less conserved residues. In red, γ remote residues corresponding to residues αE357, αY399, αR400, αV402, and αQ418 (yeast nomenclature). In grey, residues in the neighbouring of the foot of γ subunit corresponding to the S. cerevisiae α-SDLDAST sequence.

Table 1 .

 1 Nomenclature of subunits from F o F 1 ATP synthase in bacterial, chloroplast and mitochondrial ATP synthases. ........................................................................................

Table 2 .

 2 Identified covalent and non-covalent inhibitors of mitochondrial F 1 -ATPase ..

Table 3 .

 3 Description of Saccharomyces cerevisiae strains. ............................................

Table 4 .

 4 Description of Escherichia coli strains ..............................................................

Table 5 .

 5 Description of cell culture media. .....................................................................

Table 6 .

 6 Description of amino acids, bases and antibiotics. ...........................................

Table 7 .

 7 Description of plasmid vectors. ........................................................................

Table 8 .

 8 Description of mutations and their oligonucleotide primers. ..........................

Table 9 .

 9 Description of oligonucleotide primers for sequencing. ..................................

Table 10 .

 10 Yeast (S. cerevisiae W303-1A ∆ATP1∆ATP2) transformation Selections. .......

Table 11

 11

. Residues in β subunit selected for IF1 specificity study. ..............................

Table 12. Residues in α subunit selected for IF1 specificity study. .............................. Table 13. IF1 binding parameters of ATP synthase with mutants of group A. .............

Table 14 .

 14 IF1 binding parameters of ATP synthase with mutants of group A. .............

Table 15 .

 15 IF1 binding parameters of ATP synthase with mutants of group B. .............

Table 16 .

 16 IF1 binding parameters of ATP synthase with mutants of group B, at pH 8.

Table 17 .

 17 IF1 binding parameters of ATP synthase with mutants of Group C. .............

Table 18 .

 18 IF1 binding parameters of ATP synthase with mutants of Group D. ............

Table 19

 19

. IF1 binding parameters of "double mutant", α 409 GS---AST 416 and β 394 DGLSEQD 400 . ...........................................................................................................

Table 20 .

 20 IF1 binding parameters of mutants in γ subunit. .........................................

Table 1 . Nomenclature of subunits from F o F 1 ATP synthase in bacterial, chloroplast and mitochondrial ATP synthases.

 1 The name and the stoichiometry of each subunit are indicated in this table. The composition of both subcomplex F o and F 1 are as well indicated. In addition, proteins associated to F o sector and proteins function as ATP synthase regulators are listed.

1.2.2.1. F o sector F

  o sector is the membrane-embedded F o F 1 ATP synthase subcomplex, which is also well studied but less visualized comparing to the F 1 sector. As we can see in table1, this F o sector consists of eight subunits(OSCP,[START_REF] Dautant | Crystal structure of the Mg.ADP-inhibited state of the yeast F1c10-ATP synthase[END_REF] d, h,[START_REF] Cabezón | The structure of bovine IF(1), the regulatory subunit of mitochondrial F-ATPase[END_REF] 6, 8 and f, nomenclature of

Table 2 . Identified covalent and non-covalent inhibitors of mitochondrial F 1 -ATPase (Gledhill & Walker, 2005).

 2

Table 3 . Description of Saccharomyces cerevisiae strains.

 3

Table 4 . Description of Escherichia coli strains 2.1.2. Cell culture media

 4

Table 7 . Description of plasmid vectors.

 7

	Mutation			oligonucleotides (5'-3')	plasmid
	α-	355 EAELF	359	GGTCAAATATTCTTGGAAGCTGACTTATTCTACA	pVC2/atp1
	→ α-	355 EADLF	359	AGGG
	α-	417 KQTL	420	GCCTCCACCAAGAACACTTTGGTTAGAGG	pVC2/atp1
	→ α-	417 KNTL	420
	α-	397 QYREVA	402	GAAATTGTTTTTGGCTCAATTCGCTGAATTGGC	pVC2/atp1
	→ α-	397 QFAELA	402	TGCTTTTGCTCAATTCG
	α-	409 GSDLDAST	416	GCTCAATTCGGTTCCGATTTAGGTGCCTCC	pVC2/atp1
	→ α-	409 GSGLDAST	416
	α-	409 GSDLDAST	416	CGGTTCCGGTTTAGATGCCTCCACCAAGC	pVC2/atp1
	→ α-	409 GSDLGAST	416
	α-	409 GSDLDAST	416	GCTTTTGCTCAATTCGGTTCCGGTTTAGGTGCC	pVC2/atp1
	→ α-	409 GSGLGAST	416	TCCACCAAGCAAACTTTG
	α-	409 GSDLDAST	416	GCTTTTGCTCAATTCGGTTCCGGTGGTGGTGCC	pVC2/atp1
	→ α-	409 GSGGGAST	416	TCCACCAAGCAAACTTTG

2.1.4. Oligonucleotide primers

Oligonucleotide primers used in PCR, site-directed mutagenesis, and sequencing were designed, detailed information shown in table

8 and table 9.

Table 8 . Description of mutations and their oligonucleotide primers.Table 9 . Description of oligonucleotide primers for sequencing.

 89

	2.2. Methods
	2.2.1. Mutagenesis
	2.2.1.1. Site-directed mutagenesis principle
	Using Stratagene's QuickChange ® Site-Directed Mutagenesis Kit, we managed to
	make a number of mutants including point mutations, and single or multiple amino
	acids deletions in ATPase α and β subunits. The QuikChange site-directed mutagenesis
	method is performed using PfuTurbo® DNA polymerase and a temperature cycler. The
	basic procedure utilizes a double-stranded DNA plasmid vector with an insert of
	interest and two synthetic oligonucleotide primers containing the desired mutation
	(see figure 20

Table 14 . IF1 binding parameters of ATP synthase with mutants of group A.

 14 Experimental conditions and calculations as described in Materials and methods. pH 8. n, number of experiments.

Table 16 . IF1 binding parameters of ATP synthase with mutants of group B, at pH 8.

 16

.3.1. Effect of mutations in Group C:

  Kinetic results of this group of mutations are shown in figure44-a-b-c, and the binding parameters obtained from numerous single experiments were calculated and shown in table 17. To better visualize the results, the calculated k on and k off values of different mutants are shown in table 17 were plotted in figure 45.

	α 409 GSDLGAST 416
	α 409 GSGLGAST 416
	α 409 GSGGGAST 416
	α 409 GGGGGAST 416
	α 409 GSGGGGGG 416
	α 409 GGGGGGGG 416
	α 409 GS---AST 416
	Group D: β 394 GELSEQD 400
	β 394 DGLSEQD 400
	β 394 DELSGQG 400
	β 394 DGGGEQD 400
	SMP of different mutants devoid of endogenous IF1 were investigated by kinetics
	of ATP hydrolysis and IF1 inhibition at pH 6.5. Then we studied the IF1 binding
	parameters of these two groups of mutations.
	3.3α 409 GSGLDAST 416
	α 409 GSDLGAST 416
	α 409 GSGLGAST 416
	α 409 GSGGGAST 416
	α 409 GGGGGAST 416
	α 409 GSGGGGGG 416
	α 409 GGGGGGGG 416
	α 409 GS---AST 416

Table 19 . IF1 binding parameters of "double mutant", α 409 GS---AST 416 and β 394 DGLSEQD 400 .

 19

Table 20 . IF1 binding parameters of mutants in γ subunit.

 20 Experimental conditions and calculations as described in Materials and methods. pH 8, at 25°C. n, number of experiments.

TABLE I .

 I IF1 binding parameters of ATP synthase with mutated α and β residues. Experimental conditions and calculations as described under Materials and Methods. pH 6.5. n, number of experiments.

	FIGURES FIGURE 5. mutation	k on (10 5 M -1 s -1 )	K d (10 -9 M)	k off (10 -4 s -1 )	(10 -4 s -1 ) K d k on	n
	FIGURE 1. none (WT) FIGURE 3. Class A	4.3 ± 0.2	0.24 ± 0.06 1.8 ± 0.2	0.9 ± 0.3
	α-E357D-Y399F-R400A-	4.6 ± 0.7	0.6 ± 0.4	6.4 ± 1.3	2.8 ± 2.0
	V402L-Q418N
	Class B
	β-T380R-S383E	4.5 ± 0.5	0.4 ± 0.1	1.6 ± 0.5	1.8 ± 0.7
	β-E471K-A474E	0.64 ± 0.02 2.2 ± 0.2	1.7 ± 0.2	1.4 ± 0.2
	β-T380R-S383E-E471K-	0.5 ± 0.1	3.5 ± 0.4	1.9 ± 0.2	1.9 ± 0.5
	A474E
	Class C
	α 409 GSGLDAST 416 α 409 GSDLGAST 416	2.3 ± 0.2 3.6 ± 0.5	1.3 ± 0.2 0.6 ± 0.2	3.0 ± 0.2 4.7 ± 0.6	3.0 ± 0.7 2.2 ± 1.0	.
	α 409 GSGLGAST 416	1.7 ± 0.2	10.0 ± 1.0	9.8 ± 1.7	17.0 ± 4.0
	α 409 GSGGGAST 416 FIGURE 6. α 409 GGGGGAST 416	1.7 ± 0.2 1.7 ± 0.2	13.7 ± 1.4 6.0 ± 1.4	24.4 ± 1.9 16.6 ± 4.3	23.3 ± 5.8 10.2 ± 3.9
	α 409 GSGGGGGG 416	1.6 ± 0.1	14.7 ± 2.0	31.1 ± 4.0	23.5 ± 4.4
	α 409 GGGGGGGG 416	2.8 ± 0.2	5.5 ± 0.2	15.6 ± 1.3	15.4 ± 1.7
	α 409 GS ---AST 416	2.5 ± 0.2	16.8 ± 3.0	50 ± 12	42 ± 11
	Class D
	β 394 GELSEQD 400	4.0 ± 0.3	0.8 ± 0.2	5.0 ± 0.7	3.2 ± 1.1
	β 394 DGLSEQD 400	5.7 ± 0.4	2.7 ± 0.2	18.6 ± 2.4	15.4 ± 2.5
	β 394 DELSGQG 400	3.8 ± 0.4	1.1 ± 0.4	6.0 ± 0.6	4.2 ± 1.8
	β 394 DGGGEQD 400	3.9 ± 0.8	0.4 ± 0.3	3.8 ± 0.8	1.6 ± 1.4
	Classes C-D
	α 409 GS ---AST 416	nd	193 ± 18	nd	nd
	β 394 DGLSEQD 400
	FIGURE 4.
	FIGURE 2.
	mutation	k on (10 5 M -1 s -1 )	K d (10 -9 M)	k off (10 -4 s -1 )	(10 -4 s -1 ) K d k on	n
	none (WT)	2.2 ± 0.1	9.1 ± 0.6	18.4 ± 1.3	20.0 ± 2.0
	Class A
	α-E357D-Y399F-R400A-	2.3 ± 0.2	23.4 ± 2.2	55.5 ± 7.8	54.6 ± 7.8
	V402L-Q418N
	Class B
	β-T380R-S383E	2.3 ± 0.2	10.8 ± 2.0	20.1 ± 0.3	25.3 ± 7.1
	β-E471K-A474E	0.25 ± 0.01 182 ± 10	39.0 ± 0.6	45.5 ± 3.4
	β-T380R-S383E-E471K-	0.32 ± 0.02 173 ± 12	52.0 ± 5.2	55.4 ± 6.9
	A474E
	γ subunit
	γ-M116G-Q117G	2.2 ± 0.1	19.8 ± 1.5	30.9 ± 0.8	42.6 ± 5.3
	γ-M116G-Q117G-L118G 2.6 ± 0.1	9.00 ± 0.6	21.2 ± 0.8	23.0 ± 2.5

TABLE II .

 II IF1 binding parameters of ATP synthase with mutated α, β and γ residues. Experimental conditions and calculations as described under Materials and Methods. pH 8. n, number of experiments.

	SUPPLEMENTARY MATERIAL
	Mutation	oligonucleotides (5'-3')	plasmid
	α-355 EAELF 359	1.GGTCAAATATTCTTGGAAGCTGACTTATTCTACAAGGG	pVC2/atp1
	→ α-355 EADLF 359
	α-417 KQTL 420	2.GCCTCCACCAAGAACACTTTGGTTAGAGG	pVC2/atp1
	→ α-417 KNTL 420
	α-398 QYREVA 403	3.GAAATTGTTTTTGGCTCAATTCGCTGAATTGGCTGCTT	pVC2/atp1
	→ α-398 QFAELA 403	TTGCTCAATTCG
	α-409 GSDLDAST 416	4.GCTCAATTCGGTTCCGATTTAGGTGCCTCC	pVC2/atp1
	→α-409 GSGLDAST 416
	α-409 GSDLDAST 416	5.CGGTTCCGGTTTAGATGCCTCCACCAAGC	pVC2/atp1
	→α-409 GSDLGAST 416
	α-409 GSDLDAST 416	6.GCTTTTGCTCAATTCGGTTCCGGTTTAGGTGCCTCCAC	pVC2/atp1
	→α-409 GSGLGAST 416	CAAGCAAACTTTG
	α-409 GSDLDAST 416	7.GCTTTTGCTCAATTCGGTTCCGGTGGTGGTGCCTCCAC	pVC2/atp1
	→α-409 GSGGGAST 416	CAAGCAAACTTTG
	α-409 GSDLDAST 416	8.GCTCAATTCGGTGGCGGTGGTGGTG	pVC2/atp1
	→α-409 GGGGGAST 416
	α-409 GSDLDAST 416	9.CGGTGGTGGTGGCGGCGGCAAGCAAACTTTGG	pVC2/atp1
	→α-409 GSGGGGGG 416
	α-409 GSDLDAST 416	10.GCTCAATTCGGTGGCGGTGGTGGTG + 9	pVC2/atp1
	→α-409 GGGGGGGG 416
	α-409 GSDLDAST 416	11.GCTTTTGCTCAATTCGGTTCCGCCTCCACCAAGCAAA	pVC2/atp1
	→α-409 GS---AST 416	CTTTGG
	β-394 DELSEQD 400
	→ β-394 GELSEQD 400

to be elucidated, like the possible energetic interferences between the different locking events and their time-sequence. This will be a challenge for future studies.

ACKNOWLEDGEMENTS

Thanks are due to Dr Marie-France Giraud for her help in microbiology of S. cerevisiae W303-1A-Δatp1Δatp2. We are indebted to Gwénaëlle Moal for her excellent technical help. We particularly thank Amina Boudghene Stambouli for technical assistance in the mutagenesis of γ subunit.

Chapter 2. Materials and Methods

Chapter 4. Conclusion and Perspectives

also be used to estimate time-dependent or conformer-dependent distance within the IF1-F 1 -ATPase complex. Since FRET is a distance-dependent interaction between the electronic exited states of two dyes, it is powerful to study interaction between proteins and conformational changes within proteins. Although complicated, it is also interesting to crystalize those mutated F 1 -ATPases with IF1 bound in order to visualize the effect of mutations in a dead-end complex.

Of course, it exists other methods to study this same phenomenon. Hence, we just need a little bit more imagination, creative ideas, courage and skills, patience and financial support.

Appendix

Article submitted to

Biochimica Biophysica Acta Bioenergetics

Under revision

ABSTRACT When mitochondria gets deenergized, futile ATP hydrolysis is prevented by reversible binding of an inhibitory peptide called IF1 to ATP synthase. Between IF1 initial binding and locking the enzyme experiences large conformational changes. Structural studies give access to analysis of the dead-end inhibited state, not of the transient ones. Here, we studied both initial and final states by reporting, for the first time, the consequences of mutations of Saccharomyces cerevisiae ATP synthase on its inhibition by IF1. Kinetic studies allowed identifying amino acids or motifs of the enzyme involved in recognition and/or locking of IF1 α-helical midpart. This led to draw an outline of IF1 binding process. In the recognition step, α and especially β subunits protruding parts grasp IF1, probably by a few residues of its α-helical midpart. Locking IF1 within the αβ interface involves additional residues of both subunits.

Interactions of α and β subunits with the foot of the γ subunit might contribute to lock and to stabilize the dead-end state. Bacterial and chloroplast F 1 -ATPases were prepared as in [START_REF] Santolini | An insight into the mechanism of inhibition and reactivation of the F(1)-ATPases by tentoxin[END_REF] Biochemistry 41, 6008-6018. ATP hydrolysis followed by the decrease of absorbance at 340 nm. yIF1 addition indicated by arrows. Curve a, 10 nM F 1 -ATPase from PS3 bacillus (TF 1 ) at 50°C, addition of 5 µM yIF1. Curve b, 1 nM F 1 -ATPase from Saccharomyces cerevisiae (MF 1 ) at 25°C, addition of 0.1 µM yIF1. Curve c, 2 nM chloroplast F 1 -ATPase from Spinacia oleracea, devoid of ε subunit (CF 1 -ε) and pretreated with 5 mM DTT, 25°C, addition of 5 µM yIF1. Despite the very high concentrations used (50-fold higher than for MF 1 ), yIF1 has no effect on TF 1 and CF 1 -ε activities.

KEYWORDS

Abstract

ATP synthase is an essential protein complex located in the mitochondrial inner membrane, which synthesizes ATP by coupling to a rotary proton transport across the membrane at the expense of the electrochemical proton gradient created by the electron transport chain. This reaction guarantees the supply of energy to biological processes in a cell. When mitochondria get deenergized, i.e. the protomotive force across the mitochondrial inner membrane collapses, the ATP synthase switches from ATP synthesis to hydrolysis. This hydrolytic activity is then immediately prevented by a natural soluble mitochondrial ATPase inhibitor, IF1. This efficient reversible inhibition system protects cells from wasting energy. In yeast, IF1 is a small protein consisting of 63 amino acids. It binds to one of the three (αβ) catalytic interfaces of ATP synthase and thereby blocks the rotary catalysis. Although the crystal structure of the dead-end IF1 inhibited F 1 -ATPase complex has been resolved, IF1 initial binding and locking to ATPase still remain unclear events at the molecular level.

During my thesis, we have been interested in the dynamic mechanism of ATPase inhibition by IF1. By means of analyses of published structures and protein sequence alignment, we selected numerous residues located in different regions of Saccharomyces cerevisiae ATP synthase α, β subunits, which might potentially paticipate in IF1 binding process. Using site-directed mutagenesis combined with kinetic experiments, we studied the effect of mutations of the selected candidates on the rate and extent of ATPase inhibition by IF1. In this way we identified residues or motifs in ATP synthase α, β subunits involved in IF1 recognition and/or locking steps, which allows complementing structural studies and drawing an outline of IF1 binding.

Résumé

ATP synthase est une protéine essentielle associée à la membrane interne mitochondriale, qui synthétise l'ATP par couplage d'un transport de protons au travers de la membrane, en dissipant un gradient électrochimique de protons créé par la chaîne respiratoire. Cette réaction assure l'alimentation en énergie des processus biologiques cellulaires. Si la membrane mitochondriale se dépolarise, la réaction inverse d'hydrolyse d'ATP est rapidement bloquée par un inhibiteur soluble naturel de l'ATPase mitochondriale, IF1. Cette régulation efficace et réversible évite le gaspillage de l'énergie par la cellule. Chez la levure, IF1 est une petite protéine de 63 aminoacides. Elle se fixe sur l'une des trois interfaces catalytiques de l'ATP synthase et inhibe l'hydrolyse d'ATP. Bien que les structures cristallographiques des complexes F 1 -ATPase inhibés par IF1 aient été résolus, l'étape initiale de reconnaissance et celle du verrouillage d'IF1 restent peu claires au niveau moléculaire.

Pendant ma thèse, nous nous sommes intéressés au mécanisme d'inhibition de l'ATPase par IF1. Par des analyses des structures disponibles et des alignements de séquence, nous avons sélectionné de nombreux résidus localisés dans différentes régions des sous-unités α et β de l'ATP synthase de Saccharomyces cerevisiae et susceptibles de participer au processus de fixation d'IF1. En utilisant le mutagenèse dirigée combinée à des experiences cinétiques, nous avons étudié les effects des mutations sur l'inhibition de l'ATP synthase par IF1 chez Saccharomyces cerevisiae. Dans ce travail, nous avons identifié des résidus ou motifs des sous-unités α et β de l'ATP synthase impliqués dans les étapes de reconaissance et/ou vérrouillage d'IF1, ce qui nous permet de compléter les études structurales et d'esquisser un mécanisme de fixation d'IF1.