# Free water: A marker of age-related modifications of the cingulum white matter and its association with cognitive decline

M. Edde, G. Theaud, F. Rheault, B. Dilharreguy, Catherine Helmer, Jean-Francois Dartigues, Helene Amieva, M. Allard, M. Descoteaux, G. Catheline

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M. Edde, G. Theaud, F. Rheault, B. Dilharreguy, Catherine Helmer, et al. Free water: A marker of age-related modifications of the cingulum white matter and its association with cognitive decline. PLoS ONE, 2020, 15 (11), pp.e0242696. 10.1371/journal.pone.0242696. hal-03166638

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RESEARCH ARTICLE

# Free water: A marker of age-related modifications of the cingulum white matter and its association with cognitive decline

Manon Edde<sup>1,2,*</sup>, Guillaume Theaud<sup>3,*</sup>, François Rheault<sup>3</sup>, Bixente Dilharreguy<sup>2</sup>, Catherine Helmer<sup>4</sup>, Jean-François Dartigues<sup>4,5</sup>, Hélène Amieva<sup>4</sup>, Michèle Allard<sup>1,2,5</sup>, Maxime Descoteaux<sup>3‡</sup>, Gwénaëlle Catheline<sup>1,2,6‡</sup>

1 EPHE, PSL, Bordeaux, France, 2 CNRS, INCIA, UMR 5287, Bordeaux, France, 3 Sherbrooke Connectivity Imaging Lab, Université de Sherbrooke, Sherbrooke, QC, Canada, 4 Université de Bordeaux, Inserm, Bordeaux Population Health Research Center, UMR 1219, Bordeaux, France, 5 CHU de Bordeaux, Bordeaux, France, 6 Université de Bordeaux, INCIA, UMR 5287, Bordeaux, France

© These authors contributed equally to this work.

‡ MD and GC also contributed equally to this work.

* eddemanon@gmail.com

<figure><img src="image_2.png" /></figure>

## Abstract

Diffusion MRI is extensively used to investigate changes in white matter microstructure. However, diffusion measures within white matter tissue can be affected by partial volume effects due to cerebrospinal fluid and white matter hyperintensities, especially in the aging brain. In previous aging studies, the cingulum bundle that plays a central role in the architecture of the brain networks supporting cognitive functions has been associated with cognitive deficits. However, most of these studies did not consider the partial volume effects on diffusion measures. The aim of this study was to evaluate the effect of free water elimination on diffusion measures of the cingulum in a group of 68 healthy elderly individuals. We first determined the effect of free water elimination on conventional DTI measures and then examined the effect of free water elimination on verbal fluency performance over 12 years. The cingulum bundle was reconstructed with a tractography pipeline including a white matter hyperintensities mask to limit the negative impact of hyperintensities on fiber tracking algorithms. We observed that free water elimination increased the ability of conventional DTI measures to detect associations between tissue diffusion measures of the cingulum and changes in verbal fluency in older individuals. Moreover, free water content and mean diffusivity measured along the cingulum were independently associated with changes in verbal fluency. This suggests that both tissue modifications and an increase in interstitial isotropic water would contribute to cognitive decline. These observations reinforce the importance of using free water elimination when studying brain aging and indicate that free water itself could be a relevant marker for age-related cingulum white matter modifications and cognitive decline.

<figure><img src="image_3.png" /></figure>

## OPEN ACCESS

**Citation:** Edde M, Theaud G, Rheault F, Dilharreguy B, Helmer C, Dartigues J-F, et al. (2020) Free water: A marker of age-related modifications of the cingulum white matter and its association with cognitive decline. PLoS ONE 15(11): e0242696.
https://doi.org/10.1371/journal.pone.0242696

**Editor:** Stephen D. Ginsberg, Nathan S Kline
Institute, UNITED STATES

**Received:** June 29, 2020

**Accepted:** November 8, 2020

**Published:** November 20, 2020

**Copyright:** © 2020 Edde et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

**Data Availability Statement:** In the interest of participant confidentiality and in keeping with data sharing guidelines imposed by the National Commission on Informatics and Liberty (CNIL), the data from 3C cohort used in this study are available upon request. Interested researchers may contact e3c.coordinatingcenter@gmail.com for access to 3C data.

**Funding:** This research was funded by the FONDATION VAINCRE ALZHEIMER (#14733, www.vaincrealzheimer.org). This study was
considered an emerging project and therefore partly funded as part of the laboratory of Excellence TRAIL ANR-10-LABX-57 (trail.labex.u-bordeaux.fr). The Three-City study is conducted under a partnership agreement between the Institut National de la Santé et de la Recherche Médicale (INSERM, www.inserm.fr), the University Bordeaux 2 Victor Segalen (www.u-bordeaux.fr/) and Sanofi-Aventis (www.sanofi.fr/), who funded the collection of initial data for the 3C cohort (from 1999 to 2005). The Fondation pour la Recherche Médicale funded the planning and initiation of the study (www.frm.org/). The Three-City study is also supported by the Caisse Nationale Maladie des Travailleurs Salariés (www.ameli.fr/), Direction Générale de la Santé MGEN (solidarites-sante.gouv.fr/), Institut de la Longévité (www.ilvv.fr), Conseils Régionaux d'Aquitaine et Bourgogne, Fondation de France (www.fondationdefrance.org), Ministry of Research-INSERM Programme "Cohortes et collections de données biologiques", Agence Nationale de la Recherche ANR PNRA 2006 and LongVie 2007 (www.anr.fr/), the "Fondation Plan Alzheimer" (FCS 2009-2012) and the Caisse Nationale de Solidarité pour l'Autonomie (CNSA, www.cnsa.fr). Part of this research was also supported by the Fonds de recherche du Québec - Nature et technologies (FRQNT, www.frqnt.gouv.qc.ca), the NSERC Discovery grant (www.nserc-crsgnc.qc.ca), the Université de Sherbrooke institutional chair in neuroinformatics from Pr Descoteaux (www.usherbrooke.ca) and the Mitacs Accelerate program (www.mitacs.ca). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

**Competing interests:** The authors have read the journal's policy and have the following competing interests: This study was supported in part by Sanofi-Aventis, who funded the collection of initial data for the 3C cohort (from 1999 to 2005). There are no employment relationships, consultancies or other awards to declare. There are no patents, products in development, or marketed products to declare. This does not alter our adherence to PLOS ONE policies on sharing data and materials.

Introduction

Aging is associated with widespread brain structural modifications including neurodegeneration of white and grey matter [1–3]. In the last few years, diffusion tensor imaging (DTI) has been widely used to indirectly explore microstructural properties of white matter and constitutes a sensitive technique to describe age-related white matter microstructural changes [4,5]. Parameters quantified by DTI such as Fractional Anisotropy (FA), Mean Diffusivity (MD), Radial Diffusivity (RD) and Axial Diffusivity (AD) can be used to indirectly infer changes in axonal integrity and myelination [6]. In older adults, previous DTI studies reported a decrease in FA and an increase in MD and RD in major white matter tracts [6–8] that correlated with cognitive impairment [9–12]. Age-related modifications for AD were less consistent. Previous studies showed that both increases [4,13–16] and decreases [14,15,17] in AD occur along aging that inconsistently associated with cognition [13,18–20].

However, diffusion measures within brain tissues can be affected by partial volume effects due to cerebrospinal fluid [21], especially in aging individuals with atrophied brains and ventriculomegaly [22–25]. When voxels contain cerebrospinal fluid (e.g. partial volume), diffusion measures can be biased towards a pattern of high diffusivity (MD, AD, RD) and reduced FA [26,27]. This effect has been particularly observed in the fornix and the corpus callosum because of their close proximity to periventricular regions [26,28,29]. In addition, the neuroinflammation process occurring in aging [30] can also affect the interstitial space and contribute to an increase of free extracellular water content [31]. To overcome this problem, the Free Water Elimination (FWE) method was used to differentiate the contribution of the surrounding free water extracellular from the diffusion properties of brain tissues (including hindered water) such as white matter bundles [21,32]. Elimination of extracellular free water contamination improves the sensitivity and specificity of most measures derived from conventional DTI [24,32–34]. Although such correction has been used in pathological conditions [35–40], the majority of diffusion MRI studies do not consider free water effects of aging. Aging is associated with grey and white matter tissue loss, and the resulting enlargement of interstitial space could lead to increase in free water [41–44]. In addition, free water content in white matter fibers was recently associated with the presence of white matter hyperintensities (WMHs) in clinical studies [38,45–48]. In older adults, the prevalence and severity of WMH burden increases after age 60 [49,50]. Previous studies reported that the presence of WMH lesions was not only associated with age-related white matter changes evaluated with DTI [51–53] or tractography [54–56], but also with cognitive impairments mainly in memory and executive functions [5,56,57].

The cingulum bundle is one of the most studied white matter tracts running from the anterior to the posterior part of the brain that interconnects frontal, parietal, and temporal areas [58–60]. Due to this central location, the cingulum plays a central role in white matter architecture and functional networks that support and contribute to optimal cognitive function [60]. Some previous studies [59,61–63] but not all [64,65] described a decrease in FA and an increase in AD, RD and/or MD along the cingulum bundle. These changes within this bundle due to aging were correlated with executive and memory deficits [26,59,61,66–68]. However, these observations still remain controversial considering that most of these studies did not consider CSF partial effect due to atrophy or WMH burden. Recent tractography studies consistently observed that atrophy-related partial volume effects [24,26] and age-related ventricular enlargement [23] or WMH burden [54] affect diffusion measures of the cingulum in healthy older individuals. In this regard, Reginold and colleagues reported higher RD in cingulum tracts that crossed WMH than those outside WMH regions [23,54]. Atrophy and WMH burden might therefore impact cingulum diffusion measures suggesting a source of significant
bias in studies exploring the integrity of this bundle and its association with cognitive func-
tions in aging.

In this study, we hypothesized that free water elimination would provide more accurate white matter diffusion measures of the cingulum, which in turn would be better correlated with verbal fluency changes in 68 elderly individuals. To do so, the cingulum bundle was reconstructed with a tractography pipeline that includes a WMH mask to limit the negative impact of hyperintensities on fiber tracking algorithms. We first described the effect of FW-correction on diffusion measures of the cingulum derived from the conventional tensor DTI model. Then, we explored the association between FW-corrected diffusion measures and cognitive changes as evaluated using the Isaacs Set Test over 12 years. The Isaacs Set Test was chosen since it specifically assesses semantic memory and executive functioning.

**Materials and methods**

Dataset

Participants were selected from the Bordeaux sample of the Three-City study [69], an ongoing longitudinal multicenter population-based elderly cohort designed to evaluate risk factors for dementia. The study protocol was approved by the ethics committee of Kremlin-Bicêtre University Hospital (Paris, France), and all participants provided written informed consent. At baseline, subjects were non-institutionalized, randomly recruited from electoral lists, and were older than 65 years. Since the 1999–2000 baseline inclusion, an extended neuropsychological assessment was administered by trained psychologists at each follow-up occurring at 2, 4, 7, 10 and 12 years. An MRI scan was performed at the 10-year follow-up for every subject. All 239 subjects were screened, and individuals were excluded if they had dementia (n = 8), brain pathologies (n = 27) or if MRI images were either unavailable (n = 62), distorted by artefacts (n = 24), or failed pre-processing (n = 15). In addition, cingulum reconstruction failed in 16 subjects and tractography quality control revealed suboptimal data in 19 additional subjects. Out of the 239 initially screened subjects, 68 subjects were included in the study. All participants were right-handed and had a Mini Mental State Examination (MMSE) score greater than or equal to 24.

Cognitive and clinical variables

The Isaacs Set Test (IST) [70] chosen for the study consists of a test on verbal fluency, where subjects are asked to cite the highest number of words in four semantics categories. Three scores of the IST were used, corresponding to the number of words cited by the subject at 15-seconds (IST 15s), 30-seconds (IST 30s) and 60-seconds (IST 60s). Verbal fluency was evaluated over 12 years, using a subject-specific slope for each IST score computed using a linear mixed model with time as a continuous variable, random intercept and slope. Over the 12-year follow-up period, the negative mean annual slope indicated a decrease in the number of given words.

Some clinical variables were also collected: depressive symptoms evaluated using the Center for Epidemiologic Studies-Depression scale (CESD) [71], vascular risk factors including hypertension as defined in patients with a blood pressure > 140/90 mm Hg or taking anti-hypertensive medication, diabetes as defined in patients with a blood glycemic levels > 7 mmol/l or taking hypoglycemic medication, and body mass index (BMI).

MRI acquisition

MRI scanning was performed using a 3T Achieva system (Philips Medical Systems, The Nether-
erlands) equipped with a 8-channel SENSE head coil. Head motions were minimized by using
tightly padded clamps attached to the head coil. Anatomical MRI volumes were acquired using a 3D magnetization-prepared rapid gradient-echo (MPRAGE) T1-weighted sequence with the following parameters: repetition time (TR)/ echo time (TE) = 8.2 ms/3.5 ms, flip angle 7°, field of view (FOV) 256x256 mm², 180 slices of 1 mm of thickness, voxel size 1x1x1 mm³. Fluid-attenuated inversion recovery (FLAIR) images were obtained with the following parameters: TR = 11000 ms; TE = 140 ms, inversion time = 2800 ms, 90-degree flip angle, FOV 230x172 mm², 24 slices of 5 mm of thickness, voxel size 0.72x1.20x5 mm³. Diffusion weighted images were acquired using a spin echo single shot EPI sequence composed of one b0 map (b-value = 0 s/mm²) followed by 21 diffusion gradients maps (b-value = 1000s/mm²) homogeneously spread over a half sphere and 21 opposite directions spread over the opposite half sphere. To increase signal-to-noise ratio, a second series of two b0 and 42 DWI volumes was acquired. Sixty axial slices were acquired with the following parameters: TR = 9700 ms, TE = 60 ms, flip angle 90°, FOV 224x224 mm², 60 slices, no gap and voxel size 2x2x2 mm³. All acquisitions were aligned on the anterior commissure-posterior commissure plan.

## MRI preprocessing

**Diffusion MRI preprocessing.** Diffusion MRI (dMRI) images were pre-processed using FMRIB's Diffusion toolbox [72,73] in order to produce individual FA, MD, AD and RD maps in native space. For each subject, dMRI images were co-registered to the b0 reference image with an affine transformation and were corrected for motion and eddy current distortions. Brain Extraction Tool (BET) [74] was applied to eliminate non-brain voxels and resulting dMRI images were denoised using the non-local mean denoising method [75]. To increase signal-to-noise ratio, the successive runs were then combined into a dMRI image using FSL tools. Finally, the fiber Orientation Distribution Functions (fODF) map was computed using the spherical constrained deconvolution [76–78]. Visual quality check was performed and did not reveal any processing failure for the included subjects.

**White matter hyperintensity segmentation.** White matter hyperintensity volumes were automatically segmented by the lesion growth algorithm implemented in the Lesion Segmentation Tool (LST, v2.0) [79] of SPM12. For each participant, the T1-weighted image was used to generate partial volume estimation and three tissue probability maps (grey matter, white matter and cerebrospinal fluid). Then, each FLAIR image was co-registered on the corresponding T1 image to compute lesion belief maps for the three tissue classes. These maps were finally summed up and a lesion growth model with a pre-chosen initial threshold (κ = 0.3) was applied to create lesion maps in native space. Visual inspection of the lesion probability maps was performed and manually corrected when inaccuracies were found. Finally, WMH volumes were extracted, normalized by white matter volume and log transformed (total WMH). The volume of WMH within the cingulum was estimated by crossing the WMH mask with the cingulum bundle (cingulum WMH).

**Free water elimination.** Free Water Elimination (FWE) [21] was used to estimate and remove the free water components from diffusion images. To isolate the fractional volume of freely diffusing extracellular water molecules from tissue compartments (i.e. reflecting intracellular processes), FWE fits a bi-tensor model within each voxel: a first one models free water diffusion, defining as an isotropic diffusion, and a second one models the tissue compartment [34]. The isotropic compartment models extracellular water which is characterized by freely and not hindered diffusion. A fixed diffusivity of $3.10^{-3}$ mm²/s (i.e. diffusion coefficient of water at body temperature) is used for this compartment. The fraction of free water content per voxel provided a native free water (FW) map for each subject and varied between 0 to 1. In contrast, the tissue compartment models water molecules close to cellular membranes of brain
tissue, which are defined by restricted or hindered diffusion using a diffusion tensor. Thereby, the volume of freely diffusing extracellular water molecules is removed from tissue compartments. Consequently, the FW-corrected measures were expected to be more sensitive and specific to tissue changes than the measures derived from the single tensor model [33,37,39]. The FW-corrected DTI maps were called FA tissue (FAt), RDt, ADt and MDt [80].

**Cingulum tractography and measures.** For each participant, a local tracking using probabilistic algorithm based on fODF maps was performed. The tractography was performed using twenty tracking seeds per voxels included in the white matter mask. The seeding and tracking masks were modified to include WMH masks (see S1 Appendix). Next, the left and right cingulum bundles were extracted using the RecoBundles approach (see [81], Fig 1). RecoBundles is a model-based algorithm performing a registration of a Cingulum model on each subject to extract the subject specific cingulum tract from the whole tractogram. Five different Cingulum models were used in this study (RecoBundles). Finally, after visual inspection of cingulum bundles using dmriqc tool (https://github.com/GuillaumeTh/dmriqcopy), 13 subjects were excluded due to the absence of right or left cingulum bundles and 6 subjects were

<figure><img src="image_4.png" /></figure>

<figure><img src="image_5.png" /><figcaption>**Fig 1.** Left and right cingulum templates used to extract the cingulum tract for each participant (A); Example of the cingulum bundle obtained for one subject displayed on the corresponding T1-weighted image (B). Along the fibers, color represents the RGB scale.</figcaption></figure>

https://doi.org/10.1371/journal.pone.0242696.g001
excluded because of miss-segmentation of hippocampal and anterior parts of the cingulum bundle, mainly because of the age range of our population (older than 85 years of age) at the time of MRI sessions. Therefore, the cingulum bundle was considered as a whole bundle and the different subdivisions of the cingulum were not investigated in this study.

Cingulum diffusion measures were extracted before (FA, MD, RD and AD) and after FW-correction (FAt, MDt, RDt and ADt). The diffusion measures without free water correction are defined as conventional DTI measures and reflect the weighted average of all compartments including free water, whereas diffusion measures after correction of free water are defined as FW-corrected measures. The cingulum free water content was also extracted (Fig 2). Measures of the left and right cingulum were averaged for the analysis.

A percentage of measure changes (% change) for each participant was determined by computing the difference between the measure before and after FW-correction divided by the measure before FW-correction [i.e. % change = ((FW-corrected measure-DTI measure)/DTI measure) × 100].

## Statistical analysis

Because of non-normality of the continuous and categorical variables, Mann-Whitney U-tests and Spearman's correlations were used to evaluate the associations between cingulum diffusion measures as well as verbal fluency with continuous variables (age, global cognition score, depressive symptoms score, body mass index and WMH volume) and categorical variables (gender, education level, presence/absence of diabetes, of hypertension) respectively. In a supplementary analysis, the associations between WMH volumes and cingulum diffusion measures were evaluated (see S1 Appendix and S2 Table). To compare the effects of FW-correction to conventional DTI on cingulum diffusion measures, a Paired t-Test was performed.

Linear regression models were then computed to describe the extent to which the FW-correction affects the association between cingulum diffusion measures and changes in verbal fluency. Diffusion measures were included as independent variables (conventional and FW-corrected FA, MD, AD and RD in separate models) and the verbal fluency slope set as the dependent variable in model adjusted for age and WMH volume of the cingulum. Similar linear regression models were performed to examine the relationship between free water content and changes in verbal fluency. Finally, FW-corrected MD and free water content were concomitantly included in the linear regression to evaluate the independency of these two variables on the IST decline.

In a second step, total WMH volume was added to previous models to evaluate the effect of WMH burden on the observed associations (see S3 Table). In a supplementary analysis, specific WMH burden of the cingulum bundle was added to the models (see S1 Appendix and S4 Table).

A false discovery rate (FDR) multiple-comparison correction method was systematically applied for each analysis. Results were considered significant for p<0.05, FDR corrected [82]. All statistical analyses were performed using IBM SPSS Statistics v.23 software (IBM Corporation, Armonk, NY, USA).

## Results

### Sample characteristics

Characteristics of participants are presented in Table 1. Significant age effects on verbal fluency changes were observed for all IST scores (IST 15s, r = -0.212, p = 0.022; IST 30s, r = -0.207, p = 0.038 and IST 60s, r = -0.252, p = 0.019). WMH volumes correlated with age (total WMH: r = 0.447, p<0.001; cingulum WMH: r = 0.201, p = 0.038) and changes in verbal fluency scores
<figure><img src="image_6.png" /><figcaption>Fig 2. Dot plot depicting distribution of cingulum free water content.</figcaption></figure>

https://doi.org/10.1371/journal.pone.0242696.g002

(r = -0.218, p = 0.038; r = -0.293, p = 0.016 and r = -0.328 p = 0.008 respectively). None of clinical variables were related to age, verbal fluency or WMH volumes (p > 0.05). Finally, no association was observed between demographic or clinical variables and cingulum diffusion measures (see S1 Table).
<table><caption>Table 1. Characteristics of participants, 12-year verbal fluency decline and volumetric variables.</caption><thead><tr><th colspan="2">Sample n = 68</th></tr><tr><th>Sociodemographic variables</th><th>Mean ± SD or %</th></tr></thead><tbody><tr><td>Age</td><td>81.2 ± 0.48</td></tr><tr><td>Male gender</td><td>36.8%</td></tr><tr><td>High level of education</td><td>37%</td></tr><tr><td><em>Clinical variables</em></td><td></td></tr><tr><td>MMSE</td><td>27.3 ± 0.3</td></tr><tr><td>CES-D</td><td>8.3 ± 0.9</td></tr><tr><td>BMI (kg/m<sup>2</sup>)</td><td>25.2 ± 0.5</td></tr><tr><td>Diabetes</td><td>10.3%</td></tr><tr><td>Hypertension</td><td>35.3%</td></tr><tr><td><em>Verbal fluency decline</em></td><td></td></tr><tr><td>IST at 15 seconds</td><td>-0.489 ± 0.02</td></tr><tr><td>IST at 30 seconds</td><td>-0.697 ± 0.04</td></tr><tr><td>IST at 60 seconds</td><td>-0.924 ± 0.06</td></tr><tr><td><em>Volumetric variables</em></td><td></td></tr><tr><td>Total WMH volume ml</td><td>15.9 ± 4.1</td></tr><tr><td>Cingulum bundle volume (% TIV)</td><td>0.46 ± 0.06</td></tr><tr><td>Cingulum WMH volume (%)</td><td>3.2 ± 0.65</td></tr></tbody></table>

MMSE, Mini Mental State Examination; BMI, Body Mass Index; CES-D, Center for Epidemiologic Studies-Depression scale; IST, Isaacs Set Test; WMH, White Matter Hyperintensity.

https://doi.org/10.1371/journal.pone.0242696.t001

## Effect of FW-correction on conventional DTI parameters

Cingulum diffusion measures are presented in Table 2. All FW-corrected measures were significantly different from their conventional counterparts (paired t-test, p<0.05 FDR-corrected, Table 2). After FW-correction, a mean increase of 1.52% of FA and a mean decrease of 1.61% of MD, 2.5% of RD and 1.08% of AD were observed (Table 2, Fig 2).

## Effect of FW-correction on relationships between cingulum diffusion measures and verbal fluency

**Associations with DTI conventional measures.** A higher MD value was related to a higher IST decline at 15 and 30 seconds in a model adjusted for age and white matter volume

<table><caption>Table 2. Cingulum diffusion measures before (conventional DTI) and after FW-correction and % of change between both measures for each group.</caption><thead><tr><th colspan="6">Cingulum diffusion measures</th></tr><tr><th></th><th>DTI</th><th>FW-corrected</th><th>t</th><th>p-FDR</th><th>% Change</th></tr><tr><th></th><th>mean ± SD</th><th>mean ± SD</th><th></th><th></th><th>mean ± SD</th></tr></thead><tbody><tr><td>FA</td><td>0.543 ± 0.049</td><td>0.567 ± 0.054</td><td>-3.367</td><td>0.019*</td><td>1.52 ± 0.50</td></tr><tr><td>MD (10<sup>-3</sup> mm<sup>2</sup>/s)</td><td>0.768 ± 0.0041</td><td>0.755 ± 0.0034</td><td>-3.196</td><td>0.024*</td><td>-1.61 ± 0.22</td></tr><tr><td>RD (10<sup>-3</sup> mm<sup>2</sup>/s)</td><td>0.506 ± 0.0047</td><td>0.493 ± 0.0049</td><td>-5.315</td><td>0.010*</td><td>-2.50 ± 0.19</td></tr><tr><td>AD (10<sup>-3</sup> mm<sup>2</sup>/s)</td><td>1.29 ± 0.0683</td><td>1.27 ± 0.0638</td><td>-2.975</td><td>0.044*</td><td>-1.08 ± 0.34</td></tr><tr><td>FW</td><td>-</td><td>0.141 ± 0.017</td><td></td><td></td><td></td></tr></tbody></table>

* p<0.05 FDR corrected
Paired Student's t-test

https://doi.org/10.1371/journal.pone.0242696.t002
<table><caption>Table 3. Correlations between cingulum diffusion measures and verbal fluency score (IST) before (conventional DTI) and after FW-correction.</caption><thead><tr><th colspan="7">DTI</th></tr><tr><th rowspan="2"></th><th colspan="2">IST 15s</th><th colspan="2">IST 30s</th><th colspan="2">IST 60s</th></tr><tr><th>β</th><th>R<sup>2</sup></th><th>β</th><th>R<sup>2</sup></th><th>β</th><th>R<sup>2</sup></th></tr></thead><tbody><tr><td rowspan="4">Model unadjusted for total WMH</td><td>FA</td><td>0.015</td><td>0.001</td><td>0.047</td><td>0.002</td><td>0.067</td><td>0.004</td></tr><tr><td>MD</td><td><strong>-0.421*</strong></td><td><strong>0.17</strong></td><td><strong>-0.335*</strong></td><td><strong>0.12</strong></td><td>-0.174</td><td>0.07</td></tr><tr><td>AD</td><td>-0.186</td><td>0.036</td><td>-0.135</td><td>0.018</td><td>-0.060</td><td>0.004</td></tr><tr><td>RD</td><td>-0.114</td><td>0.013</td><td>-0.128</td><td>0.016</td><td>-0.129</td><td>0.017</td></tr></tbody><thead><tr><th colspan="7">FW-corrected</th></tr><tr><th rowspan="2"></th><th colspan="2">IST 15s</th><th colspan="2">IST 30s</th><th colspan="2">IST 60s</th></tr><tr><th>β</th><th>R<sup>2</sup></th><th>β</th><th>R<sup>2</sup></th><th>β</th><th>R<sup>2</sup></th></tr></thead><tbody><tr><td rowspan="5">Model unadjusted for total WMH</td><td>FAt</td><td>0.047</td><td>0.003</td><td>0.098</td><td>0.01</td><td>0.095</td><td>0.009</td></tr><tr><td>MDt</td><td><strong>-0.443*</strong></td><td><strong>0.19</strong></td><td><strong>-0.361*</strong></td><td><strong>0.13</strong></td><td>-0.226</td><td>0.08</td></tr><tr><td>ADt</td><td>-0.198</td><td>0.04</td><td>-0.134</td><td>0.018</td><td>-0.061</td><td>0.004</td></tr><tr><td>RDt</td><td><strong>-0.293*</strong></td><td><strong>0.11</strong></td><td><strong>-0.248*</strong></td><td><strong>0.13</strong></td><td>-0.199</td><td>0.039</td></tr><tr><td>FW</td><td><strong>-0.353*</strong></td><td><strong>0.12</strong></td><td><strong>-0.241*</strong></td><td><strong>0.10</strong></td><td>-0.196</td><td>0.061</td></tr></tbody></table>

β, standardized coefficient regression adjusted for age and cingulum white matter volume

R², R square value

* p < 0.05 FDR corrected

https://doi.org/10.1371/journal.pone.0242696.t003

of the cingulum (p < 0.05 FDR-corrected, Table 3 and Fig 3). No association was observed with FA, RD and AD.

**Associations with FW-corrected measures and cingulum free water content.** After FW-correction, high values of MDt and RDt were strongly associated with IST decline at 15 and 30

<figure><img src="image_7.png" /><figcaption>**Fig 3.** Relationships between cingulum diffusion measures before (1) and after (2) FW-correction for (A, B) mean diffusivity and (C, D) radial diffusivity and verbal fluency decline. For the scatterplot the regression line is represented in blue and the 95% confidence interval in grey dotted line.</figcaption></figure>

https://doi.org/10.1371/journal.pone.0242696.g003
seconds in a model adjusted for age and white matter volume of the cingulum (p < 0.05, Table 3, Fig 3). No association was observed with FAt and ADt.

High free water content was associated with changes in IST score at 15 and 30 seconds in a model adjusted for age and white matter volume of the cingulum (p < 0.05 FDR-corrected, Table 3, Fig 4).

In a model including FW and MDt, both diffusion measures remained significantly associated with IST at 15 (FW: $\beta$ = -0.236, p = 0.031 and MDt: $\beta$ = -0.258, p = 0.027) and 30 seconds (FW: $\beta$ = -0.216, p = 0.039 and MDt: $\beta$ = -0.237, p = 0.033) indicating that both free water content and MDt independently contributed to the cognitive variances.

## Impact of WMH burden on the association between cingulum diffusion measures and verbal fluency

In regression models adjusted for total WMH burden, correlations between conventional DTI measures (MD) and IST decline were not significant anymore. In contrast, MDt and free water content correlations were preserved when total WMH volume (see S3 Table) as well as WMH volume within the cingulum (see S4 Table) were added as covariate in regression models (p < 0.05 FDR-corrected). In a global model, both diffusion measures remained significantly associated with IST at 15 (FW: $\beta$ = -0.232, p = 0.036 and MDt: $\beta$ = -0.240, p = 0.034) and 30 seconds (FW: $\beta$ = -0.211, p = 0.041 and MDt: $\beta$ = -0.229, p = 0.038) when adjusted for total WMH volume.

## Discussion

In this study, we examined the effect of free water elimination on conventional DTI measures of white matter within the cingulum tract and the effect of such correction on the decline in verbal fluency measured over a 12-year period in elderly subjects. In a group of 68 older participants, FW-correction significantly impacted all conventional DTI measures and following such correction measures correlated with decline in verbal fluency performances at 15 and 30 seconds. Free water content was also associated with changes in verbal fluency. In addition, free water content and mean diffusivity measures were independently related to changes in verbal fluency. Finally, in models adjusted for WMH volumes, correlations between MDt and free water content were preserved.

### Free water elimination effect

In accordance with recent findings in young adults [32], older adults [80] and clinical studies [38,83], FW-correction was associated with an increase in FA, and a decrease in diffusivity measures (MD, RD and AD). These changes in DTI measures after elimination of the free water compartment suggested not only a non-null volume of the extracellular water [6,21,38,84], but also indicate that white matter microstructural changes were less pronounced than previously suggested by conventional DTI measures [53,85-87].

Based on conventional DTI, our study revealed that only MD showed significant correlations with changes in verbal fluency, especially at 15 and 30 seconds. The elimination of the free water content confirmed such strong association for MDt and revealed additional correlations for RDt that could not be fully observed without considering the free water content. The observed association is in line with previous studies reporting the role of the cingulum bundle in executive functioning in older adults [59,67,88-91]. Even if the underlying neurobiological properties of these parameters remain controversial, a high RDt, without any changes in ADt, has been described as predominantly reflecting myelin changes in animal studies [92,93] and demyelination severity in human post mortem studies on multiple sclerosis [94,95]. This
Free water content

<figure><img src="image_8.png" /></figure>

<figure><img src="image_9.png" /></figure>

$β$, standardized coefficient regression adjusted for age and cingulum white matter volume

* p < 0.05 FDR corrected
**Fig 4.** Relationships between cingulum free water content and verbal fluency at 15 (A) and 30 seconds (B). For the scatterplot the regression line is represented in blue and the 95% confidence interval in grey dotted line.

https://doi.org/10.1371/journal.pone.0242696.g004

suggests that changes in verbal fluency in our population might be related to myelin changes within the cingulum, rather than axonal damage [6,17,96]. Therefore, our results support previous studies reporting that the elimination of free water improves the estimation of tissue indices which were more strongly predictive of cognitive changes than conventional DTI-derived parameters [6,33,36,48,84,97].

## Free water content

In our group of elderly participants, a non-null value of free water content was observed, suggesting that despite its distance from the ventricles, some free water is likely present in the extracellular space of the cingulum. This is consistent with recent studies on whole brain white matter reporting a fraction of free water in the elderly [33,80,98]. In addition, no association between the free water content within the cingulum and CSF volumes was observed in our participants (r = 0.138, p = 0.142). However, we observed that a high content of free water was related to a low cingulum volume (r = -0.251, p-FDR = 0.039), suggesting that in our population the high free water content may be due to atrophy-related processes rather than CSF contamination [99,100].

In line with previous older adults and clinical studies, we reported that a high content of free water within the cingulum was strongly associated with changes in verbal fluency performances at 15 and 30 seconds [35,38,47,48,101]. In addition, cingulum free water content and mean diffusivity measures were both associated with verbal fluency decline. This suggests that both tissue (MDt) and non-tissue parameters (free water) would contribute independently to cognitive decline. In a recent longitudinal study on 224 elderly subjects, Maillard and colleagues showed that an increase in free water was not only associated with reduced performances in executive function assessments but was the strongest predictor of cognitive decline. Taken together, these results support the idea that beyond the elimination of CSF contamination, free water could provide additional structural information that could constitute a physiological index reflecting brain changes [37,80,84]. However, the underlying microcellular events accounting for the observed free water content are far from being fully understood; its increase could be related to different pathophysiological processes such as a microvascular degeneration [38,47,102], a reduction in myelin content [98,99] or a modulation in the permeability of the blood-brain barrier [47].

## White matter hyperintensities burden effect

The present study showed that when adjusting for WMH volumes, the associations between MDt and free water content and verbal fluency performances at 15 and 30 seconds remained significant, suggesting that both could contribute independently to cognitive impairment in aging. In accordance with these results, recent tractography studies reported that cingulum tracts crossing WMH exhibited significant changes in diffusion measures [54], and suggested that these modifications could extend beyond the WMH lesions [51,55,103]. Previous DTI studies also reported that WMH were associated with higher diffusion measures in the normal-appearing white matter [51,53,56,103-105]. Taken together, these results suggest that small focal WMH may lead to both local and distant effects that are large enough to impact white matter diffusion properties of the cingulum tract.

Some methodological limitations should be taken into account when interpreting our findings. First, this study was based on a moderate sample size of healthy elderly participants.
However, our population exhibited sufficient inter-individual variability in structural mea-
sures and cognitive performances to detect associations between these parameters. Second, the
cingulum was analyzed as a single entity despite the fact that it consists of a complex structure
containing not only long association fibers, but also short tracts connecting adjacent cortices
[60,106,107]. Finally, the current study was based on diffusion MRI data that was acquired
with a single b-value. The algorithm used to fit the free water imaging model involved spatial
regularization of data which decreases intra-group variability [21], and may hide subtle spatial
features. In addition, this method is based on a bimodal model, considering isotropic versus
non-isotropic diffusion to split tissue on respectively extra-cellular and intra-cellular compart-
ments. However, part of extra-cellular compartment could be non-isotropic [108]. Even
though comparable results using single- and multi-shell acquisitions have been previously
reported [109], advanced acquisitions that include multiple b-values could further increase the
accuracy of the free water model [84,109].

To conclude, we reported that FW-correction increases the ability to detect associations
between tissue diffusion measures of the cingulum and changes in verbal fluency in elderly
individuals. Moreover, free water content *per se* appears to be a relevant parameter to describe
age-related modifications of the white matter and its association with executive functioning. In
addition, we reported that free water content an index of interstitial water, and corrected mean
diffusivity, an index of tissue changes both contribute to cognitive decline. These observations
suggest the importance of considering the free water compartment for DTI measures in aging.

**Supporting information**

**S1 Fig.** *Principal fODF direction(s) under the lesion mask crossing the corpus callosum.* Yellow represents the white matter hyperintensity lesion mask displayed on the corresponding T1-weighted image. In A, the peak directions extracted from the fODF are preserved and coherent under the WMH. In B, the lesions do not impact the reconstruction of the Corpus Callosum.
(TIF)

**S2 Fig.** *Effect of WMH mask correction on tractogram reconstruction.* (A) In red, tracks that stop in WMH lesion instead of grey matter and should not. (B) In blue, tracks that cross the WMH mask and reach grey matter regions. WMH mask is represented in yellow, both displayed on the corresponding T1-weighted image.
(TIF)

**S1 Table.** Relationship of diffusion measures with demographic, clinical, vascular and structural variables.
(DOCX)

**S2 Table.** Association between diffusion measures and WMH volumes.
(DOCX)

**S3 Table.** Relationship between cingulum diffusion measures and verbal fluency score (IST) before (conventional DTI) and after FW-correction in model adjusted for total WMH volume.
(DOCX)

**S4 Table.** Relationship between cingulum diffusion measures and verbal fluency score (IST) before (conventional DTI) and after FW-correction in model unadjusted and adjusted for cingulum WMH volume.
(DOCX)
S1 Appendix.

(DOCX)

Author Contributions

**Conceptualization:** Manon Edde, Gwénaëlle Catheline.

**Formal analysis:** Manon Edde.

**Funding acquisition:** Bixente Dilharreguy, Catherine Helmer, Jean-François Dartigues, Hélène Amieva, Michèle Allard, Gwénaëlle Catheline.

**Methodology:** Manon Edde, Guillaume Theaud, Bixente Dilharreguy.

**Software:** Guillaume Theaud, François Rheault, Maxime Descoteaux.

**Supervision:** Maxime Descoteaux, Gwénaëlle Catheline.

**Visualization:** Manon Edde, Guillaume Theaud.

**Writing – original draft:** Manon Edde, Guillaume Theaud.

**Writing – review & editing:** Manon Edde, Guillaume Theaud, François Rheault, Bixente Dilharreguy, Catherine Helmer, Jean-François Dartigues, Hélène Amieva, Michèle Allard, Maxime Descoteaux, Gwénaëlle Catheline.

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