Malo Gaubert

Catharina Lange
email: catharina.lange@charite.de

Antoine Garnier-Crussard

Theresa Köbe

Salma Bougacha

Julie Gonneaud

Robin De Flores

Clémence Tomadesso

Florence Mézenge

Brigitte Landeau

Robin De Flores

Vincent De La Sayette

Gaël Chételat
email: chetelat@cyceron.fr

Miranka Wirth
email: miranka.wirth@dzne.de

Topographic patterns of white matter hyperintensities are associated with multimodal neuroimaging biomarkers

Keywords: Cerebrovascular disease, Alzheimer's disease, Alzheimer's disease pathology, White matter lesion

Introduction

White matter hyperintensities (WMH), as quantified using fluid-attenuated inversion recovery (FLAIR) magnetic resonance imaging (MRI), are recognized as a marker of cerebrovascular disease [START_REF] Wardlaw | Neuroimaging standards for research into small vessel disease and its contribution to ageing and neurodegeneration[END_REF] that is robustly associated with age [START_REF] Habes | White matter hyperintensities and imaging patterns of brain ageing in the general population[END_REF][START_REF] Garnier-Crussard | White matter hyperintensities across the adult lifespan: relation to age, Abeta load, and cognition[END_REF] as well as cardiovascular risk factors [START_REF] De Leeuw | Hypertension and cerebral white matter lesions in a prospective cohort study[END_REF][START_REF] Cox | Associations between vascular risk factors and brain MRI indices in UK Biobank[END_REF]. The presence of WMH is also related to lower cognitive performance [START_REF] Benson | Functional connectivity in cognitive control networks mitigates the impact of white matter lesions in the elderly[END_REF][START_REF] Kloppenborg | Presence and progression of white matter hyperintensities and cognition: a metaanalysis[END_REF] and increased risk of clinical Alzheimer's disease (AD) ( [START_REF] Debette | Clinical significance of magnetic resonance imaging markers of vascular brain injury: a systematic review and meta-analysis[END_REF][START_REF] Mortamais | White matter hyperintensities as early and independent predictors of Alzheimer's disease risk[END_REF], for review see [START_REF] Prins | White matter hyperintensities, cognitive impairment and dementia: an update[END_REF]), suggesting an involvement of WM damage in AD pathogenesis.

Previous studies have suggested that WM pathology could be directly related to pathological hallmarks of beta-amyloid (Aβ) plaques, tau tangles, and neurodegeneration, measured using sensitive in vivo positron emission tomography (PET), cerebrospinal fluid (CSF), or magnetic resonance imaging (MRI) biomarkers. Thus, greater presence and extend of WMH were previously associated with greater Aβ deposition in some crosssectional studies [START_REF] Graff-Radford | White matter hyperintensities: relationship to amyloid and tau burden[END_REF][START_REF] Weaver | Cerebral amyloid burden is associated with white matter hyperintensity location in specific posterior white matter regions[END_REF][START_REF] Yi | Association between white matter lesions and cerebral Abeta burden[END_REF][START_REF] Zhou | White matter lesion load is associated with resting state functional MRI activity and amyloid PET but not FDG in mild cognitive impairment and early Alzheimer's disease patients[END_REF][START_REF] Brickman | Cerebral autoregulation, beta amyloid, and white matter hyperintensities are interrelated[END_REF], although not consistently found [START_REF] Roseborough | Associations between amyloid β and white matter hyperintensities: a systematic review[END_REF], as well as lower glucose metabolism [START_REF] Wirth | Associations between Alzheimer disease biomarkers, neurodegeneration, and cognition in cognitively normal older people[END_REF] and reduced gray matter volume (GMV) [START_REF] Habes | White matter hyperintensities and imaging patterns of brain ageing in the general population[END_REF] in brain regions typically affected by AD. At the same time, tau pathology was not consistently related to global (whole brain) or regional WMH, with some authors reporting effects [START_REF] Mcaleese | Cortical tau load is associated with white matter hyperintensities[END_REF][START_REF] Tosto | The effect of white matter hyperintensities on neurodegeneration in mild cognitive impairment[END_REF][START_REF] Erten-Lyons | Neuropathologic basis of white matter hyperintensity accumulation with advanced age[END_REF], not found by others [START_REF] Graff-Radford | White matter hyperintensities: relationship to amyloid and tau burden[END_REF][START_REF] Weaver | Cerebral amyloid burden is associated with white matter hyperintensity location in specific posterior white matter regions[END_REF].

In the existing literature, global WMH descriptors are often used to quantify WM pathology and to assess respective relationships with brain biomarkers of AD. This methodological approach is masking out specific regional effects. Therefore, voxel-wise mapping methods were recently used to determine topographic patterns of WM lesions that are associated with Aβ and/or tau burden [START_REF] Graff-Radford | White matter hyperintensities: relationship to amyloid and tau burden[END_REF][START_REF] Weaver | Cerebral amyloid burden is associated with white matter hyperintensity location in specific posterior white matter regions[END_REF]. Findings across these independent cohort studies provide convergent support for the involvement of periventricular posterior brain regions in the association between Aβ deposition and regional WMH, which is not seen for tau burden. Similarly, a recent study demonstrated an age-dependent increase in posterior WM alterations (as assessed by mean diffusivity and WMH) in individuals with abnormal Aβ deposition across the life span [START_REF] Caballero | Age-dependent amyloid deposition is associated with white matter alterations in cognitively normal adults during the adult life span[END_REF].

The present study aimed to extend previous findings and corroborate a possible link between multimodal brainbiomarkers of AD and regional WM damage. Here, we systematically investigated associations of spatial WMH distribution, as determined using regions-ofinterest (ROIs) and the voxel level approach, with neocortical Aβ burden, temporo-parietal hypometabolism, and medial-temporal GMV reduction. All neuroimaging biomarkers were assessed in the same participants selected to span the broad continuum of cognitive abilities from cognitively normal to mild cognitive impairment and AD dementia. Our main objective was to highlight topographic patterns of WM lesions that are associated with AD-typical Aβ deposition and neurodegeneration.

Material and methods

Participants

All participants took part in a larger multimodal imaging study of early-stage AD ("Imagerie Multimodale de la maladie d'Alzheimer à un stade Précoce", IMAP+) conducted in Caen (France). The subset of cognitively normal participants was included in our earlier study on WMH in IMAP+ [START_REF] Garnier-Crussard | White matter hyperintensities across the adult lifespan: relation to age, Abeta load, and cognition[END_REF]. Inclusion and exclusion criteria of the IMAP+ cohort are detailed in our previous publications [START_REF] Garnier-Crussard | White matter hyperintensities across the adult lifespan: relation to age, Abeta load, and cognition[END_REF][START_REF] Mutlu | Distinct influence of specific versus global connectivity on the different Alzheimer's disease biomarkers[END_REF][START_REF] Wirth | Regional patterns of gray matter volume, hypometabolism, and beta-amyloid in groups at risk of Alzheimer's disease[END_REF]. Briefly, participants were all aged ≥ 50 years, had at least 7 years of education, and had no history of alcoholism, drug abuse, head trauma, or psychiatric disorders. The IMAP+ study was approved by the regional ethics committee (Comité de Protection des Personnes Nord-Ouest III) and registered at http:// clinicaltrials.gov (no. NCT01638949). All participants gave their written informed consent to the study prior to enrollment.

Participants were assigned to groups of either older controls (OC) or individuals with subjective cognitive decline (SCD), mild cognitive impairment (MCI), or AD dementia. Diagnostic criteria for all diagnostic groups are described in a previous publication [START_REF] Mutlu | Distinct influence of specific versus global connectivity on the different Alzheimer's disease biomarkers[END_REF][START_REF] Wirth | Regional patterns of gray matter volume, hypometabolism, and beta-amyloid in groups at risk of Alzheimer's disease[END_REF]. In brief, OC were recruited from the general population through advertisement or word of mouth. Participants with SCD, MCI, and AD were recruited from local memory clinics and selected according to internationally agreed criteria (see below). Clinical diagnoses were assigned by a multidisciplinary panel of senior neurologists and neuropsychologists.

The OC and SCD participants had cognitive performances in the normal age-related range on a standardized neuropsychological examination. The presence of SCD was diagnosed, when cognitive concerns were self-reported to the clinician during the interview and on a cognitive complaint questionnaire, as previously described [START_REF] Perrotin | Subjective cognitive decline in cognitively normal elders from the community or from a memory clinic: differential affective and imaging correlates[END_REF][START_REF] Kuhn | Cross-sectional and longitudinal characterization of SCD patients recruited from the community versus from a memory clinic: subjective cognitive decline, psychoaffective factors, cognitive performances, and atrophy progression over time[END_REF]. Patients with MCI were diagnosed according to the criteria of single or multiple domain amnestic MCI [START_REF] Petersen | Mild cognitive impairment as a clinical entity and treatment target[END_REF][START_REF] Petersen | Mild cognitive impairment: an overview[END_REF], concluding memory complaints, objective episodic memory deficits, normal general cognitive status, normal daily functioning, and absence of dementia. Patients with AD were diagnosed using standard clinical criteria of the National Institute of Neurological and Communicative Disorders and Stroke and the Alzheimer's Disease and Related Disorders Association (NINCDS-ADRDA) for probable AD [START_REF] Mckhann | Clinical diagnosis of Alzheimer's disease: report of the NINCDS-ADRDA Work Group under the auspices of Department of Health and Human Services Task Force on Alzheimer's Disease[END_REF].

Participants were selected from the IMAP+ database, when both a high-resolution FLAIR and a T1 scan were available. For PET measurements, no acquisition or bad image quality resulted in the absence of AV45-PET scans for 6 OC, 2 participants with SCD, and 2 MCI and 2 AD patients and the absence of FDG-PET scans for 1 OC, 1 participant with SCD, and 1 MCI and 1 AD patient (Table 1). All MRI and PET assessments were performed in close temporal proximity (within 3 months).

MRI acquisition and processing

All MRI scans were acquired on a 3-T Achieva scanner (Philips, The Netherlands). Participants first underwent high-resolution T1-weighted anatomical volume imaging using a 3D fast field echo (FFE) sequence (3D-T1-FFE sagittal; repetition time = 20 ms, echo time = 4.6 ms, flip angle = 20°, 180 slices, slice thickness = 1 mm, no gap, field of view = 256 × 256 mm 2 , matrix = 256 × 256, inplane resolution = 1 × 1 mm 2 ). This acquisition was followed by a FLAIR acquisition using a 3D-IR sagittal sequence (repetition time = 8000 ms, echo time = 348 ms, flip angle = 90°, 90 slices with no gap, slice thickness = 2 mm, field of view = 250 × 250 mm 2 , matrix = 320 × 320, in-plane resolution = .78 × .78 mm 2 ).

Structural MRI data were segmented and warped to Montreal Neurologic Institute (MNI) template space using the "Segment" procedure implemented in voxelbased morphometry (VBM) [START_REF] Ashburner | Unified segmentation[END_REF][START_REF] Ashburner | Voxel-based morphometry--the methods[END_REF] using multichannel images (T1 and FLAIR) and Statistical Parametric Mapping 12 (SPM) software (Wellcome Trust Centre for Neuroimaging, London, UK) to obtain maps of gray matter (GM). After binarizing gray matter maps in template space with a threshold of .5, total GMV was extracted using modality-specific AD meta-signature regions, as previously established in an independent cohort [START_REF] Besson | Cognitive and brain profiles associated with current neuroimaging biomarkers of preclinical Alzheimer's disease[END_REF]. The gray matter meta-signature regions that comprised regions in the bilateral medial-temporal cortices found to show reduced GMV in an independent sample of AD patients from the Alzheimer's Disease Neuroimaging Initiative (ADNI) database. Moreover, total intracranial volume (TIV) was computed as the sum of volumes of GM, WM, and CSF using the SPM "Tissue volume" routine.

Processing of FLAIR scans is described in detail in our previous publication [START_REF] Garnier-Crussard | White matter hyperintensities across the adult lifespan: relation to age, Abeta load, and cognition[END_REF]. Briefly, WMH probability maps were computed using lesion prediction algorithm (LPA) as implemented in the lesion segmentation toolbox (LST) (version 2; https://www.applied-statistics.de/lst. html) for SPM (www.statistical-modelling.de/lst.html) Missing data for OC/SCD/MCI/AD participants: ApoE, 0/1/4/4; MMSE, 0/0/0/1; blood pressure measures, 3/4/1/0; AV45-PET, 7/2/2/2; FDG-PET, 1/1/1/1 [START_REF] Schmidt | Bayesian inference for structured additive regression models for large-scale problems with applications to medical imaging[END_REF] based on T1 and FLAIR images. Processing included a registration of FLAIR images to respective T1 scans and computation of native-space lesion probability maps. To quantify regional WMH volumes, native-space lesion probability maps were binarized (threshold = .5) with a minimal cluster extent of 10 mm 3 . Next, two processing pipelines were applied to evaluate the distribution of WMH (see below).

ROI-based processing

Total WMH volume was extracted from different regions-of-interest (ROIs) in cerebral WM. ROIs were selected in accordance with the previously published STRIVE criteria [START_REF] Wardlaw | Neuroimaging standards for research into small vessel disease and its contribution to ageing and neurodegeneration[END_REF]. In total, the following twelve ROIs were created: the four lobes of the brain (WM in frontal, temporal, parietal, and occipital), four major WM tracts (corona radiata, external capsule, internal capsule, and optic radiation), and three subsections of the corpus callosum (WM of genu, body, and splenium), as reported by an earlier study [START_REF] Weaver | Cerebral amyloid burden is associated with white matter hyperintensity location in specific posterior white matter regions[END_REF]. These ROI masks were calculated by aggregating different WM regions from the Desikan atlas [START_REF] Desikan | An automated labeling system for subdividing the human cerebral cortex on MRI scans into gyral based regions of interest[END_REF] for lobes and corpus callosum or the ICBM-DTI-81 WM labels atlas [START_REF] Hua | Tract probability maps in stereotaxic spaces: analyses of white matter anatomy and tract-specific quantification[END_REF] for WM tracts. In addition, a global cerebral WM mask was created including the whole cortex, excluding ventricles, brainstem, and cerebellum. Binary ROI masks were computed in MNI template space and projected back onto individual native-space images using the inverse transformation matrices calculated during the VBM procedure. Total WMH volumes were calculated for each ROI and divided by TIV (described below) to take into account the variability of brain volumes.

Voxel-based processing

Native-space WMH probability maps were warped to MNI space using deformation fields previously computed by VBM processing. Then, warped probability maps were smoothed using an isotropic 6-mm full-width at half-maximum (FWHM) kernel. A WMH frequency map across the whole cohort was computed by averaging individual warped WMH probability maps from all participants binarized at p > .5 and masked by the global cortical mask (described above).

PET acquisition and processing

Participants also underwent AV45-PET and FDG-PET scanning within 3 months after MRI. Data was acquired on a Discovery RX VCT 64 PET-CT scanner (General Electric Healthcare, USA) with a resolution of 3.76 × 3.76 × 4.9 mm (field of view = 157 mm). Forty-seven planes were obtained with a voxel size of 1.95 × 1.95 × 3.27 mm. A transmission scan was performed for attenuation correction prior to PET acquisition. For AV45-PET acquisition, ≈ 4 MBq/kg of AV45 was injected intravenously to each subject. Then, a 20-min PET scan, beginning 50 min after the injection, was acquired. For FDG-PET acquisition, participants were fasted for at least 6 h before tracer injection. After a 30-min resting period in a quiet and dark environment, ≈ 180 MBq of FDG was intravenously injected as a bolus. The PET acquisition scan began 50 min post-injection for a duration of 10 min. Both AV45-and FDG-PET data were co-registered to the corresponding T1-weighted MRI image and warped to MNI space using the deformation fields calculated during the VBM procedure (described above). PET images were then semi-quantitatively scaled using whole cerebellar and brainstem pons as a reference, respectively, for AV45-and FDG-PET [START_REF] Schmidt | Bayesian inference for structured additive regression models for large-scale problems with applications to medical imaging[END_REF] to obtain standardized uptake value ratio (SUVR) images.

Mean SUVR values were extracted within brain regions typically affected in AD, using modality-specific AD meta-signature regions [START_REF] Besson | Cognitive and brain profiles associated with current neuroimaging biomarkers of preclinical Alzheimer's disease[END_REF]. The AD meta-signature for AV45-PET included all neocortical regions, excluding para-hippocampi, pre-and post-central gyri, and occipital cortices. The FDG-PET meta-signature included temporo-parietal, precuneal, and posterior cingulate cortices of both hemispheres.

Assessment of additional measures

The Mini-Mental State Examination (MMSE) [START_REF] Folstein | Mini-mental state": a practical method for grading the cognitive state of patients for the clinicians[END_REF] was administrated to all participants to measure global cognitive functioning. Education was measured by years of formal schooling. Systolic blood pressure (SPB) and diastolic blood pressure (DBP) were assessed either before the MRI or/and PET scans (in the latter case, an average value was computed). Blood pressure measures were unavailable for eight subjects and were thus replaced by the mean of all SBP measures over all available participants. Genotyping of apolipoprotein E (APOE) was established in accordance with standard procedures: restriction of isotyping from genomic DNA extracted from frozen leukocytes, amplification by PCR, and restriction with HhaI [START_REF] Hixson | Restriction isotyping of human apolipoprotein E by gene amplification and cleavage with HhaI[END_REF]. Based on this procedure, all participants were classified as ApoE ε4 carrier when at least one allele of ε4 was present.

Statistical analyses

Statistical analyses were performed using IBM SPSS Statistics, version 23.0 (IBM Corp., Armonk, NY). Sample characteristics were evaluated as follows. One-way analysis of variance (ANOVA) models with group (OC, SCD, MCI, or AD) as fixed factor was used for continuous variables and Student's t test for pairwise differences. Between-group differences for categorical variables were assessed using the Freeman-Halton extension of Fisher's exact probability test and χ 2 (chi-squared) tests for pairwise comparison. The distribution of continuous biomarkers measured at the regional level was assessed for approximate symmetry using visual inspection of Q-Q plots. Global and regional TIV-adjusted WMH volumes and mean AV45-SUVR values were thereafter logtransformed to reduce skewness and conform measures more closely to normal distribution. Statistical analyses were conducted across the entire cognitive spectrum, in order to assess a range of individuals in whom there is sufficient variance in brain pathology due to Aβ deposition, neurodegeneration, and WM damage.

ROI analyses were performed in the entire sample using partial correlation analyses to assess the relationship between total log-transformed WMH volumes in each ROI and each of the AD brain biomarkers (mean AV45-SUVR, mean FDG-SUVR, and total GMV in modality-specific AD meta-signature regions). Age, sex, education, and SBP were added as covariates of noninterest. Results are presented at p < .05 uncorrected. In addition, correction for multiple comparisons using Bonferroni correction (corresponds to p < .05/12 = .0042) is presented.

Voxel-based analyses were performed in the entire sample using SPM12. Three models of multiple regressions were computed with warped and smoothed probability maps of WMH as dependent factor; mean AV45-SUVR (log-transformed), mean FDG-SUVR, and total GMV in AD meta-signature regions (one at a time) as independent variables; and the same covariates of noninterest as for ROI analyses (i.e., age, sex, education and SBP, and TIV for the last model). Results are presented at p < .005 uncorrected at peak level with a cluster extend of > 150 voxels. In addition, a more conservative threshold at p < .005 uncorrected at peak level in combination with a correction for multiple comparisons (family-wise error [FWE] correction) at the cluster level p < .05 was applied.

Results

Sample characteristics

Demographic, clinical, and biomarker characteristics of the sample are presented in Table 1. A total of 155 participants, 51 OC, 28 SCD, 51 MCI, and 25 AD patients, were included in this study. Across diagnostic groups, a significant effect of age (p = .002) and a minor effect of years of education (p = .045) were found. Groups were comparable in gender distribution as well as SBP or DBP (all p's > .1). MMSE scores, number of ApoE ε4 carriers, AD neuroimaging biomarkers, and total WMH volumes significantly differed across groups (all p's < .01).

Analyses in regions-of-interest

Results of the ROI-based analyses are presented in Table 2. There were no significant associations between mean cortical AV45-SUVR values and WMH volumes in any of the twelve ROIs (all p's > .1 corrected and uncorrected). Lower mean FDG-SUVR was significantly associated with greater WMH volume, mainly in the whole cerebrum, the posterior lobes, corona radiata, internal capsule, and body and splenium of the corpus callosum (all p's < .05 corrected). Lower GMV was significantly related to greater WMH volume in all ROIs (all p's < .05 corrected). In addition, both neurodegeneration biomarkers were related to the optic radiation at the more liberal uncorrected threshold. No significant positive associations were observed for FDG-SUVR and GMV biomarkers.

Voxel-based analyses

The frequency map of WMH in our whole cohort is presented in Fig. 1a. All lobar regions comprised WMH, with more than half of the participants presenting WMH in frontal and parietal mainly periventricular regions.

Results of voxel-wise analyses are presented in Table 3 and Fig. 1b-d. There was no significant positive association between the global AV45-SUVR and regional WMH distribution (p < .005 uncorrected, p < .05 FWE cluster-level correction). At a more liberal statistical threshold (p < .005 uncorrected), WMH in the splenium extending to the body of the corpus callosum were associated with greater AV45-SUVR. No significant negative associations were found between WMH and AV45-SUVR at the given statistical thresholds. Regional WMH were negatively associated with temporo-parietal FDG-SUVR. This pattern included posterior WM (parietal and occipital lobes), the splenium of the corpus callosum extending to the body and genu of the corpus callosum and the right corticospinal tract (p < .005 uncorrected, p < .05 FWE cluster-level correction). Medial-temporal GMV was also negatively associated with regional WMH in many brain regions, including posterior regions, the corpus callosum, and the superior and anterior corona radiata, but also in the optic radiation and the corticospinal tract. No significant positive associations were observed for FDG-SUVR and GMV biomarkers.

Superposition of the three topographic patterns (Fig. 1e), i.e., associations of AV45-SUVR, FDG-SUVR, and GMV with voxel-based WMH (Fig. 1b-d), converged on a common region in the posterior part of the corpus callosum (Fig. 1e, in red). Moreover, most of the WM regions associated with FDG-SUVR overlapped with the GMV-associated WM pattern (Fig. 1e, in orange) predominately in posterior regions.

In a post hoc sensitivity check, we restricted our statistical analyses (ROI-based and voxel-based) to nondemented participants, excluding participants with AD. Adjusting for age, sex, education, systolic blood pressure, and TIV (for GMV), significant associations between regional WM alterations and GMV as well as FDG-SUVR were maintained, albeit at a less stringent p value threshold. We did not find a significant correlation between regionalWMH and AV45-SUVR, likely reflecting lower presence of AD pathology in the restricted sample.

Discussion

This study examined associations between regional WMH, as assessed in regions-of-interest and voxel-wise, with multimodal brain biomarkers of AD across a broad cognitive spectrum. WMH in periventricular frontal and parietal areas were mainly associated with temporoparietal hypometabolism as well as medial-temporal atrophy. While topographic patterns varied across imaging modalities, WM alteration in the posterior white matter was associated with greater manifestation of both neurodegeneration and Aβ pathology (albeit at a more liberal threshold). Together, these cross-sectional findings corroborate associations between regional WM damage and brain biomarkers of AD pathophysiology.

Association between WMH and Aβ deposition

There was no significant relationship between neocortical Aβ burden and region-specific WMH. Voxel-wise WMH correlated with Aβ deposition at a more liberal statistical level in a small posterior cluster localized to the splenium of the corpus callosum. Interestingly, this specific topographic pattern was also found in previous reports, using PET or CSF measures of Aβ pathology [START_REF] Weaver | Cerebral amyloid burden is associated with white matter hyperintensity location in specific posterior white matter regions[END_REF][START_REF] Chao | Associations between white matter hyperintensities and β amyloid on integrity of projection, association, and limbic fiber tracts measured with diffusion tensor MRI[END_REF]. Other imaging studies with cognitively normal or non-demented older participants have shown associations between regional WMH (frontal and parietal) and elevated Aβ deposition at baseline and over time [START_REF] Graff-Radford | White matter hyperintensities: relationship to amyloid and tau burden[END_REF][START_REF] Moscoso | White matter hyperintensities are associated with subthreshold amyloid accumulation[END_REF]. By contrast, more global descriptorsof WM pathology appeared to be unrelated to Aβ burden in cognitively normal older participants [START_REF] Marchant | The aging brain and cognition: contribution of vascular injury and abeta to mild cognitive dysfunction[END_REF][START_REF] Hedden | Failure to modulate attentional control in advanced aging linked to white matter pathology[END_REF], while a significant relationship was seen in a mixed cohort of patients with cognitive impairment [START_REF] Yi | Association between white matter lesions and cerebral Abeta burden[END_REF].

In the present study, the association between regional WMH and AD-typical Aβ deposition was subtle and limited in statistical power. When restricting our analyses to non-demented participants, the relationship was no longer significant. This could be explained by our moderate sample size, the lower range of AD pathology in the non-demented subgroup, or by the global quantification of Aβ deposition using AD meta-signature regions [START_REF] Besson | Cognitive and brain profiles associated with current neuroimaging biomarkers of preclinical Alzheimer's disease[END_REF]. To re-evaluate the respective relationship, future studies could be enriched by patients with biological evidence of AD through inclusion of AD biomarkers in diagnostic criteria. In addition, existing variations across studies may be explained by differences in the manifestation of vascular conditions and other pathologies in the enrolled participants.

Association between WMH and neurodegeneration

We found that WMH, including regions in the posterior lobes, the corpus callosum, and anterior areas, were associated with brain biomarkers of AD-typical neurodegeneration. In accordance with our findings, global WMH burden was previously associated with metabolic and structural patterns of brain injury commonly seen in AD [START_REF] Habes | White matter hyperintensities and imaging patterns of brain ageing in the general population[END_REF][START_REF] Wirth | Associations between Alzheimer disease biomarkers, neurodegeneration, and cognition in cognitively normal older people[END_REF][START_REF] Appel | Association of white matter hyperintensity measurements on brain MR imaging with cognitive status, medial temporal atrophy, and cardiovascular risk factors[END_REF]. In more detail, topographic WMH patterns that correlated with temporo-parietal hypometabolism and medial-temporal GMV reduction incorporated posterior lobes (parietal, occipital), parts of the corpus callosum (mostly splenium and body), and the corona radiata. Additional associations were found in bilateral frontal WM regions and WM tracts, such as external capsule, though more prominently seen for the GMV biomarker.

The present neurodegeneration biomarkers are sensitive to AD pathology [START_REF] Hanseeuw | Fluorodeoxyglucose metabolism associated with tau-amyloid interaction predicts memory decline[END_REF][START_REF] Maass | Comparison of multiple tau-PET measures as biomarkers in aging and Alzheimer's disease[END_REF]; however, they are not specific. Nonetheless, the distribution of associated WM damage, particularly within posterior brain regions, converges with the topographic pattern detected in a previous study using CSF biomarkers of AD pathology [START_REF] Weaver | Cerebral amyloid burden is associated with white matter hyperintensity location in specific posterior white matter regions[END_REF]. Notably, WMH and other vascular factors were previously associated with lower glucose metabolism in frontal regions [START_REF] Kuczynski | An inverse association of cardiovascular risk and frontal lobe glucose metabolism[END_REF][START_REF] Tullberg | White matter lesions impair frontal lobe function regardless of their location[END_REF][START_REF] Haight | Dissociable effects of Alzheimer disease and white matter hyperintensities on brain metabolism[END_REF]. We report a similar relationship with temporo-parietal glucose metabolism in this and our earlier study [START_REF] Wirth | Associations between Alzheimer disease biomarkers, neurodegeneration, and cognition in cognitively normal older people[END_REF]. The latter association was identified by our specific methodological approach, i.e., correlating glucose metabolism as measured in AD signature regions (namely temporo-parietal, precuneal and posterior cingulate cortex) with the spatial WMH distribution. Discrepancies in the regional manifestation of metabolic dysfunction, associated with WMH, could be explained by the presence of mixed etiologies underlying WMH (vascular or AD-related pathology) and need to be further investigated.

Synopsis

Overall, this cross-sectional study confirmed associations between regional WMH distribution and multimodal brain biomarkers of AD. Interestingly, topographic patterns of the observed WMH effects converged in the splenium of the corpus callosum, mirroring previous findings in clinical samples. In AD patients, significantly greater WMH were found in posterior periventricular regions and the splenium of the corpus callosum compared to healthy controls, with MCI patients in the intermediate range [START_REF] Yoshita | Extent and distribution of white matter hyperintensities in normal aging, MCI, and AD[END_REF]. On the other hand, WM atrophy in the posterior corpus callosum was formerly linked to lower posterior glucose metabolism in AD patients, a relationship that was independent of WMH [START_REF] Teipel | Region-specific corpus callosum atrophy correlates with the regional pattern of cortical glucose metabolism in Alzheimer disease[END_REF]. Together, the evidence appears to support an association between AD pathophysiology and posterior WM alteration, which is suggested to play a role in cognitive dysfunctions seen in AD [START_REF] Yoshita | Extent and distribution of white matter hyperintensities in normal aging, MCI, and AD[END_REF].

We cannot specify the sequence of pathophysiological events underlying our observations. It is possible that AD pathology disrupts regional WM integrity or, vice versa, WM injury of presumed vascular origin hastens AD pathogenesis. For example, it was proposed that posterior WM damage may occur in parallel with or secondary to AD neurodegenerative alterations through a loss of intra-cortical neural connections [START_REF] Teipel | Region-specific corpus callosum atrophy correlates with the regional pattern of cortical glucose metabolism in Alzheimer disease[END_REF][START_REF] Mcaleese | Parietal white matter lesions in Alzheimer's disease are associated with cortical neurodegenerative pathology, but not with small vessel disease[END_REF]. Deposition of Aβ may be associated with cerebral amyloid angiopathy, a small vessel disease frequently seen in AD patients (for review see, [START_REF] Iadecola | The pathobiology of vascular dementia[END_REF]), thought to contribute to regional WM damage. On the other hand, it is also possible that a vascular pathogenic event, such as ischemia, may induce both WM injury and degenerative pathology or increase the vulnerability of the brain to AD pathogenesis.

Strengths and limitations

Strengths of our study encompass the inclusion of multimodal neuroimaging biomarkers of AD to systematically investigate associated topographic patterns of WMH within regions-of-interest and at the voxel level. Also, the present monocentric cohort incorporated the cognitive continuum from cognitive normality to mild cognitive impairment and AD dementia. All neuroimaging data were acquired in the same participants using the same MRI and PET scanners and underwent standardized quality control. Such methodical characteristics are of advantage for, e.g., automatic segmentation algorithms. We believe that the unique combination of highquality multimodal neuroimaging biomarkers outwaits to some extend the moderate sample size and complements previous studies using a similar methodological approach [START_REF] Graff-Radford | White matter hyperintensities: relationship to amyloid and tau burden[END_REF][START_REF] Weaver | Cerebral amyloid burden is associated with white matter hyperintensity location in specific posterior white matter regions[END_REF].

Limitations of our study include the cross-sectional nature of the design, which precludes to draw direct conclusions on causality. Larger longitudinal studies will be needed to clarify temporal sequences of pathological events, underlying neurophysiological mechanisms, and disease stage-dependent specificities. Further, we defined AD dementia using standard clinical diagnostic criteria, not including biological markers of AD [START_REF] Jack Cr | NIA-AA research framework: toward a biological definition of Alzheimer's disease[END_REF]. Some of the enrolled participants may not develop AD dementia, which, in turn, may affect the specificity of our findings. We included the automated lesion segmentation tool LPA to segment FLAIR images. Although this algorithm is reliable and valid [START_REF] Heinen | Performance of five automated white matter hyperintensity segmentation methods in a multicenter dataset[END_REF], performance of automated segmentation methods is imperfect comprising under-and overestimations. False positive detections are often reported in the corticospinal tract; thus, results in this tract should be considered carefully. Our statistical models were adjusted for systolic blood pressure, in accordance with a previous study [START_REF] Graff-Radford | White matter hyperintensities: relationship to amyloid and tau burden[END_REF]. Additional vascular risk factors and other cerebrovascular lesions, such as cerebral lacunes or microbleeds, may also play a role in the evaluated associations and should be considered in prospective studies. Even though age was included as a covariate, it is likely that not all effects of age on the neuroimaging biomarkers were fully accounted for. This is especially important for the neurodegeneration biomarkers, even when derived within AD-typical brain regions. There was a substantial percentage of relatively young participants in our AD group. Post hoc exploratory analyses did not reveal any substantial differences between AD patients below and above 65 years of age, considering all imaging biomarkers including WMH sub-regions. However, due to limited statistical power, we cannot entirely preclude an influence of age of onset in the AD group. While regional WMH measures were inspected for normality and log-transformed, a similar procedure was not implemented at the voxel level. Given the exploratory nature of our analyses, we also did not apply more conservative non-parametric methods. It is recommended that biomarker associations reported in our study are further evaluated in follow-up studies including neuroimaging data of larger samples and nonparametric techniques. Finally, it would be worthwhile to re-assess the topographic association between WMH and tau accumulation, which was not accessible for the existing sample.

Conclusion

The present study supports an association between ADtypical Aβ deposition and neurodegeneration with topographic patterns of WMH. Our findings further highlight that regional WMH associated with the AD brain biomarkers converged in posterior regions. Longitudinal studies are necessary to establish the role of regional WM damage in the pathophysiological sequence of AD.

Fig. 1

 1 Fig. 1 Frequency map and results of voxel-based analyses. a WMH frequency map across the whole cohort (n = 155) thresholded at 5% used as an explicit mask in regressions analyses. b-d Relationships between AV45-SUVR (b), FDG-SUVR (c), GMV (d), and spatial WMH distribution at the voxel level (dependent variable). Topographic patterns are displayed at p < .005 uncorrected. Corresponding scatter plots visualize the respective relationships using unadjusted values for the whole cohort. Circles represent individual data points (blue = OC, green = SCD, orange = MCI, red = AD), lines indicate linear trends, gray-shaded areas indicate 95% confidence intervals. e Superposition of the three topographic patterns (b, c, and d) with blue = FDG-SUVR only, green = GMV only, orange = superposition FDG-SUVR/GMV, and red = superposition AV45-SUVR/FDG-SUVR/GMV. OC older controls, SCD participants with subjective cognitive decline, MCI patients with mild cognitive impairment, AD patients with Alzheimer's disease, WMH white matter hyperintensities, SUVR standardized uptake value ratio, AV45 florbetapir, FDG fluorodeoxyglucose, GMV gray matter volume, TIV total intracranial volume.

Table 1

 1 Sample characteristics

	Variable	All	OC	SCD	MCI	AD	p
		n = 155	n = 51	n = 28	n = 51	n = 25
	Age, years	69.9 (7.8)	70.8 (6.4)	67.1 (7.4)	73.3 (7.2)	68 (10.2)	.002 a,d,f
	Sex, n females (%)	86 (55.5)	24 (47.1)	17 (60.7)	29 (56.9)	16 (64)	.466
	Education, years	11.9 (3.7)	12.2 (3.8)	13.4 (3.5)	11 (3.6)	11.6 (3.3)	.045 d
	ApoE, allele 4 carriers (%) #	49 (33.6)	10 (19.6)	3 (11.1)	21 (44.7)	15 (71.4)	< .001 b,c,d,e,f
	MMSE, /30 #	26.7 (3.8)	28.7 (1.2)	29 (1.1)	26.7 (1.9)	20 (4.5)	< .001 b,c,d,e,f
	Systolic blood pressure, mmHg #	142.4 (21.5)	145.2 (20.8)	135.3 (22.6)	145 (23.4)	138.4 (16.2)	.171
	Diastolic blood pressure, mmHg #	80.1 (12.4)	82.6 (12.4)	78.5 (12.4)	79.1 (13.3)	78.7 (10.2)	.401
	AV45-PET SUVR in AD meta-signature #	1.28 (.25)	1.13 (.13)	1.14 (.14)	1.36 (.25)	1.53 (.25)	< .001 b,c,d,e,f
	FDG-PET SUVR in AD meta-signature #	1.38 (.13)	1.45 (.08)	1.47 (.1)	1.34 (.09)	1.24 (.16)	< .001 b,c,d,e,f
	GMV in AD meta-signature, mL	7.81 (1.03)	8.29 (.68)	8.31 (.68)	7.32 (1.07)	7.24 (1.15)	< .001 b,c,d,e

WMH volume, mL 10.14 (11.24) 6.34 (6.9) 8.21 (9.65) 12.98 (15.07) 14.27 (13.52) .005 b,c,e OC older controls, SCD participants with subjective cognitive decline, MCI patients with mild cognitive impairment, AD patients with Alzheimer's disease, ApoE apolipoprotein E, MMSE Mini-Mental State Examination, AV45 florbetapir, FDG fluorodeoxyglucose, GMV gray matter volume, WMH white matter hyperintensities, mmHg millimeter of mercury, mL milliliter Results are presented as mean (standard deviation) for continuous variables. Percentage of females and percentage of allele 4 carriers are also reported for sex and ApoE, respectively. Significant differences at p < .05 between a OC and SCD, b OC and MCI, c OC and AD, d SCD and MCI, e SCD and AD, and f MCI and AD. #

Table 2

 2 Relationships of AV45-SUVR, FDG-SUVR, and GMV with WMH volume in regions-of-interest

	Regional WMH volume	AV45-SUVR		FDG-SUVR		GMV
			r	p	r	p	r	p
	i.	Global WM	.056	.517	-.300	< .001 a,b	-.354	< .001 a,b
		Frontal WM	-.030	.724	-.035	.677	-.372	< .001 a,b
		Temporal WM	.002	.977	-.153	.064	-.396	< .001 a,b
		Occipital WM	.064	.453	-.300	< .001 a,b	-.409	< .001 a,b
		Parietal WM	.045	.602	-.242	.003 a,b	-.380	< .001 a,b
	ii.	Corona radiata	.026	.763	-.285	< .001 a,b	-.382	< .001 a,b
		External capsule	.060	.485	-.097	.245	-.319	< .001 a,b
		Internal capsule	.056	.513	-.371	< .001 a,b	-.421	< .001 a,b
		Optic radiation	.039	.647	-.198	.016 a	-.175	.032 a
	iii.	Genu corpus callosum	.035	.684	-.164	.047 a	-.312	< .001 a,b
		Body corpus callosum	.114	.184	-.256	.002 a,b	-.247	.002 a,b
		Splenium corpus callosum	.130	.128	-.443	< .001 a,b	-.442	< .001 a,b

SUVR standardized uptake value ratio, AV45 florbetapir, FDG fluorodeoxyglucose, GMV gray matter volume, TIV total intracranial volume, WM white matter Results of the Pearson correlation analysis, adjusted for covariates of age, sex, education, and systolic blood pressure. WMH volumes in regions-of-interest (ROIs) were adjusted for TIV and log-transformed; AV45-SUVR were also log-transformed. ROI in (i) brain lobes, (ii) WM tracts, and (iii) corpus callosum. a Significant result at p < .05 uncorrected. b Significant result at p < .05 Bonferroni-corrected

Table 3

 3 Relationships of AV45-SUVR, FDG-SUVR, and GMV with WMH at voxel level SUVR standardized uptake value ratio, AV45 florbetapir, FDG fluorodeoxyglucose, GMV gray matter volume, MNI Montreal Neurologic Institute, TIV total intracranial volume Results of linear regression analysis between AV45-SUVR, FDG-SUVR, and GMV and the smoothed WMH probability maps, adjusted for age, sex, education, systolic blood pressure, and TIV (only for GMV). Anatomical labels, coordinates in MNI template space, and z values of the cluster peak are provided as well as cluster p value and cluster size. a Significant result at p < .005 uncorrected. b Significant result at p < .005 uncorrected with family-wise error correction (p < .05) at the cluster level

	Regression	Label	Hemisphere	Cluster		Peak of cluster
	WMH with			p	Size	z	MNI coordinates
						value	x	y	z
	AV45-SUVR	Splenium corpus callosum a	Left	.392	199	3.45	-6	-32	18
	FDG-SUVR	Splenium corpus callosum a,b	Left	.004	2321	7.37	-4	-33	20
		Corticospinal tract a,b	Right	.01	1803	6.09	30	-18	33
		Inferior occipital a	Left	.205	361	4.28	-20	-87	2
		Superior frontal-occipital fasciculus a	Right	.255	288	3.33	24	14	22
		Superior frontal-occipital fasciculus a	Left	.173	419	3.07	-22	3	22
	GMV	Body corpus callosum a	Both	.044	1031	7.68	0	27	4
		Anterior corona radiata a,b	Right	< .001	6449	6.89	15	30	-10
		Anterior corona radiata a,b	Left	< .001	4264	6.54	-18	33	-8

Acknowledgements

The authors are grateful to F. Eustache, E. Arenaza-Urquijo, J. Mutlu, C. André, V. Ourry, M. Leblond, T. Anquetil, K. Mevel, N. Villain, M. Fouquet, A. Quillard, C. Schupp, J. Dayan, A. Chocat, JC. Baron, F. Viader, A. Pélerin, S. Egret, M. Delarue, G. Rauchs, A. Abbas, L. Barre, A. Manrique, D. Guilloteau (Inserm, Caen, France), and the Cyceron staff members for their help with the data acquisition and the volunteers who were included in this study. We appreciate the statistical advice provided by Ingo G. Steffen (Charité -Universitätsmedizin Berlin, Germany). This work was supported by the Institut National de la Santé et de la Recherche Medicale (INSERM), the Programme Hospitalier de Recherche Clinique (PHRCN 2011-A01493-38 and PHRCN 2012 12-006-0347), the Agence Nationale de la Recherche (ANR LONGVIE 2007), Fondation Plan Alzheimer (Alzheimer Plan 2008-2012), Fondation LECMA-Vaincre Alzheimer (grant no. 13732), Association France Alzheimer et maladies apparentées, the Région Basse-Normandie, and the Agence régionale de santé Auvergne-Rhône-Alpes. Funding sources were not involved in the study design, data acquisition, analysis, and manuscript writing.

Funding This work was supported by the Institut National de la Santé et de la Recherche Medicale (INSERM), the Programme Hospitalier de Recherche Clinique (PHRCN 2011-A01493-38 and PHRCN 2012 12-006-0347), the Agence Nationale de la Recherche (ANR LONGVIE 2007), Fondation Plan Alzheimer (Alzheimer Plan 2008-2012), Fondation LECMA-Vaincre Alzheimer (grant no. 13732), Association France Alzheimer et maladies apparentées, the Région Basse-Normandie, and the Agence régionale de santé Auvergne-Rhône-Alpes. Open Access funding enabled and organized by Projekt DEAL.

Availability of data and materials

The datasets used and analyzed during the current study are available from the corresponding author on reasonable request.

Authors' contributions MG, CL, GC, and MW contributed to the study concept and design. SB, JG, RDF, FM, and BL took part in the acquisition and processing of the data and quality check control. Analysis and interpretation of MRI data were done by MG, CL, FM, BL, GC, and MW. JG, RDF, and VDLS took part in participants' recruitment and selection process, clinical evaluation, and monitoring of participants. MG, CL, AGC, TK, GC, and MW drafted the manuscript. All authors took part in revising the manuscript for content. The authors read and approved the final manuscript.

Ethics approval and consent to participate

The IMAP study was approved by a regional ethics committee (Comité de Protection des Personnes Nord-Ouest III) and registered at http://clinicaltrials. gov (no. NCT01638949). All participants gave their written informed consent to the study prior to enrollment.

Consent for publication Not applicable

Competing interests

Malo Gaubert reports no competing interests. Catharina Lange reports no competing interests. Antoine Garnier-Crussard reports no competing interests. Theresa Köbe reports no competing interests. Salma Bougacha reports no competing interests. Julie Gonneaud reports no competing interests. Robin de Flores reports no competing interests. Clémence Tomadesso reports no competing interests. Florence Mézenge reports no competing interests. Brigitte Landeau reports no competing interests. Vincent de la Sayette reports no competing interests. Gaël Chételat reports no competing interests. Miranka Wirth reports no competing interests.

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