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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Psychol.</journal-id>
<journal-title>Frontiers in Psychology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Psychol.</abbrev-journal-title>
<issn pub-type="epub">1664-1078</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpsyg.2023.1117732</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Psychology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Bio-psycho-social factors&#x2019; associations with brain age: a large-scale UK Biobank diffusion study of 35,749 participants</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes"><name><surname>Korbmacher</surname> <given-names>Max</given-names></name><xref rid="aff1" ref-type="aff"><sup>1</sup></xref><xref rid="aff2" ref-type="aff"><sup>2</sup></xref><xref rid="aff3" ref-type="aff"><sup>3</sup></xref><xref rid="c001" ref-type="corresp"><sup>&#x002A;</sup></xref><uri xlink:href="https://loop.frontiersin.org/people/2019093/overview"/>
</contrib>
<contrib contrib-type="author"><name><surname>Gurholt</surname> <given-names>Tiril P.</given-names></name><xref rid="aff2" ref-type="aff"><sup>2</sup></xref><uri xlink:href="https://loop.frontiersin.org/people/504788/overview"/>
</contrib>
<contrib contrib-type="author"><name><surname>de Lange</surname> <given-names>Ann-Marie G.</given-names></name><xref rid="aff2" ref-type="aff"><sup>2</sup></xref><xref rid="aff4" ref-type="aff"><sup>4</sup></xref><xref rid="aff5" ref-type="aff"><sup>5</sup></xref></contrib>
<contrib contrib-type="author"><name><surname>van der Meer</surname> <given-names>Dennis</given-names></name><xref rid="aff2" ref-type="aff"><sup>2</sup></xref><xref rid="aff6" ref-type="aff"><sup>6</sup></xref><uri xlink:href="https://loop.frontiersin.org/people/571905/overview"/>
</contrib>
<contrib contrib-type="author"><name><surname>Beck</surname> <given-names>Dani</given-names></name><xref rid="aff2" ref-type="aff"><sup>2</sup></xref><xref rid="aff7" ref-type="aff"><sup>7</sup></xref><xref rid="aff8" ref-type="aff"><sup>8</sup></xref></contrib>
<contrib contrib-type="author"><name><surname>Eikefjord</surname> <given-names>Eli</given-names></name><xref rid="aff1" ref-type="aff"><sup>1</sup></xref><xref rid="aff3" ref-type="aff"><sup>3</sup></xref></contrib>
<contrib contrib-type="author"><name><surname>Lundervold</surname> <given-names>Arvid</given-names></name><xref rid="aff1" ref-type="aff"><sup>1</sup></xref><xref rid="aff3" ref-type="aff"><sup>3</sup></xref><xref rid="aff9" ref-type="aff"><sup>9</sup></xref><xref rid="aff10" ref-type="aff"><sup>10</sup></xref></contrib>
<contrib contrib-type="author"><name><surname>Andreassen</surname> <given-names>Ole A.</given-names></name><xref rid="aff2" ref-type="aff"><sup>2</sup></xref><xref rid="aff11" ref-type="aff"><sup>11</sup></xref><uri xlink:href="https://loop.frontiersin.org/people/552/overview"/>
</contrib>
<contrib contrib-type="author"><name><surname>Westlye</surname> <given-names>Lars T.</given-names></name><xref rid="aff2" ref-type="aff"><sup>2</sup></xref><xref rid="aff8" ref-type="aff"><sup>8</sup></xref><xref rid="aff11" ref-type="aff"><sup>11</sup></xref><uri xlink:href="https://loop.frontiersin.org/people/311652/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes"><name><surname>Maximov</surname> <given-names>Ivan I.</given-names></name><xref rid="aff1" ref-type="aff"><sup>1</sup></xref><xref rid="aff2" ref-type="aff"><sup>2</sup></xref><xref rid="c001" ref-type="corresp"><sup>&#x002A;</sup></xref><uri xlink:href="https://loop.frontiersin.org/people/117039/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Health and Functioning, Western Norway University of Applied Sciences</institution>, <addr-line>Bergen</addr-line>, <country>Norway</country></aff>
<aff id="aff2"><sup>2</sup><institution>Norwegian Centre for Mental Disorder Research (NORMENT), Division of Mental Health and Addiction, Oslo University Hospital, University of Oslo</institution>, <addr-line>Oslo</addr-line>, <country>Norway</country></aff>
<aff id="aff3"><sup>3</sup><institution>Mohn Medical Imaging and Visualization Center (MMIV)</institution>, <addr-line>Bergen</addr-line>, <country>Norway</country></aff>
<aff id="aff4"><sup>4</sup><institution>Department of Psychiatry, University of Oxford</institution>, <addr-line>Oxford</addr-line>, <country>United Kingdom</country></aff>
<aff id="aff5"><sup>5</sup><institution>LREN, Centre for Research in Neurosciences, Department of Clinical Neurosciences, Lausanne University Hospital, University of Lausanne</institution>, <addr-line>Lausanne</addr-line>, <country>Switzerland</country></aff>
<aff id="aff6"><sup>6</sup><institution>Faculty of Health, Medicine and Life Sciences, Maastricht University</institution>, <addr-line>Maastricht</addr-line>, <country>Netherlands</country></aff>
<aff id="aff7"><sup>7</sup><institution>Department of Psychiatric Research, Diakonhjemmet Hospital</institution>, <addr-line>Oslo</addr-line>, <country>Norway</country></aff>
<aff id="aff8"><sup>8</sup><institution>Department of Psychology, University of Oslo</institution>, <addr-line>Oslo</addr-line>, <country>Norway</country></aff>
<aff id="aff9"><sup>9</sup><institution>Department of Radiology, Haukeland University Hospital</institution>, <addr-line>Bergen</addr-line>, <country>Norway</country></aff>
<aff id="aff10"><sup>10</sup><institution>Department of Biomedicine, University of Bergen</institution>, <addr-line>Bergen</addr-line>, <country>Norway</country></aff>
<aff id="aff11"><sup>11</sup><institution>KG Jebsen Centre for Neurodevelopmental Disorders, University of Oslo</institution>, <addr-line>Oslo</addr-line>, <country>Norway</country></aff>
<author-notes>
<fn id="fn0001" fn-type="edited-by">
<p>Edited by: Helge J&#x00F6;rn Z&#x00F6;llner, Johns Hopkins Medicine, United States</p>
</fn>
<fn id="fn0002" fn-type="edited-by">
<p>Reviewed by: Thomas Kocar, University of Ulm, Germany; Nora Bittner, Heinrich Heine University, Germany</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Max Korbmacher, <email>max.korbmacher@hvl.no</email>; Ivan I. Maximov, <email>ivan.maximov@hvl.no</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>09</day>
<month>06</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>14</volume>
<elocation-id>1117732</elocation-id>
<history>
<date date-type="received">
<day>06</day>
<month>12</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>27</day>
<month>04</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2023 Korbmacher, Gurholt, de Lange, van der Meer, Beck, Eikefjord, Lundervold, Andreassen, Westlye and Maximov.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Korbmacher, Gurholt, de Lange, van der Meer, Beck, Eikefjord, Lundervold, Andreassen, Westlye and Maximov</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Brain age refers to age predicted by brain features. Brain age has previously been associated with various health and disease outcomes and suggested as a potential biomarker of general health. Few previous studies have systematically assessed brain age variability derived from single and multi-shell diffusion magnetic resonance imaging data. Here, we present multivariate models of brain age derived from various diffusion approaches and how they relate to bio-psycho-social variables within the domains of sociodemographic, cognitive, life-satisfaction, as well as health and lifestyle factors in midlife to old age (<italic>N</italic>&#x2009;=&#x2009;35,749, 44.6&#x2013;82.8&#x2009;years of age). Bio-psycho-social factors could uniquely explain a small proportion of the brain age variance, in a similar pattern across diffusion approaches: cognitive scores, life satisfaction, health and lifestyle factors adding to the variance explained, but not socio-demographics. Consistent brain age associations across models were found for waist-to-hip ratio, diabetes, hypertension, smoking, matrix puzzles solving, and job and health satisfaction and perception. Furthermore, we found large variability in sex and ethnicity group differences in brain age. Our results show that brain age cannot be sufficiently explained by bio-psycho-social variables alone. However, the observed associations suggest to adjust for sex, ethnicity, cognitive factors, as well as health and lifestyle factors, and to observe bio-psycho-social factor interactions&#x2019; influence on brain age in future studies.</p>
</abstract>
<kwd-group>
<kwd>brain age</kwd>
<kwd>age prediction</kwd>
<kwd>magnetic resonance imaging</kwd>
<kwd>diffusion MRI</kwd>
<kwd>health</kwd>
<kwd>cognition</kwd>
<kwd>brain variability</kwd>
</kwd-group>
<counts>
<fig-count count="7"/>
<table-count count="2"/>
<equation-count count="8"/>
<ref-count count="117"/>
<page-count count="19"/>
<word-count count="14807"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Neuropsychology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="sec1" sec-type="intro">
<label>1.</label>
<title>Introduction</title>
<p>Developmental trajectories of brain morphology are informative signaling markers of health. For example, significant deviations from normative morphology values can signify the presence or development of disease (<xref ref-type="bibr" rid="ref70">Marquand et al., 2019</xref>; <xref ref-type="bibr" rid="ref91">Remiszewski et al., 2022</xref>). Based on the idea that a general normative pattern could describe brain trajectories, the concept of brain age has been introduced. Here, different brain features are used to predict individuals&#x2019; age. The difference between such predicted age and chronological age, the brain age gap (BAG), has the potential as a general health biomarker, sensitive to various neurological, neuropsychiatric, and neurodegenerative disorders (<xref ref-type="bibr" rid="ref58">Kaufmann et al., 2019</xref>; <xref ref-type="bibr" rid="ref19">Cole, 2020</xref>; <xref ref-type="bibr" rid="ref93">Rokicki et al., 2021</xref>). Brain age can be derived using different imaging modalities. Structural and diffusion MRI (dMRI) have shown high prediction accuracy (e.g., <xref ref-type="bibr" rid="ref19">Cole, 2020</xref>; <xref ref-type="bibr" rid="ref8">Beck et al., 2022b</xref>; <xref ref-type="bibr" rid="ref17">Chen et al., 2022</xref>; <xref ref-type="bibr" rid="ref66">Leonardsen et al., 2022</xref>; <xref ref-type="bibr" rid="ref102">Sone et al., 2022</xref>). Different dMRI-derived parameters allow one to describe multiple changes in WM micro-structure using various diffusion-weighted approaches. Such dMRI measures provide invaluable information about WM architecture at the micrometer scale and can be associated with macroscopic outcomes. The most popular dMRI approach, diffusion tensor imaging (DTI), is often used to describe WM organization (<xref ref-type="bibr" rid="ref01">Basser et al., 1994</xref>). However, methodological advances and newer diffusion approaches may provide more meaningful bio-physical information (<xref ref-type="bibr" rid="ref83">Novikov et al., 2019</xref>), thereby increasing the power of cross-validation of findings and their comparability with other clinical markers (<xref ref-type="bibr" rid="ref12">Billiet et al., 2015</xref>; <xref ref-type="bibr" rid="ref57">Kamagata et al., 2020</xref>; <xref ref-type="bibr" rid="ref7">Beck et al., 2021</xref>; <xref ref-type="bibr" rid="ref113">Wood et al., 2022</xref>).</p>
<p>The bio-psycho-social model (<xref ref-type="bibr" rid="ref34">Engel, 1977</xref>) strives for a holistic perspective on medical research to understand health and disease by integrating information on biological, psychological, and social factors (e.g., <xref ref-type="bibr" rid="ref41">Ghaemi, 2009</xref>; <xref ref-type="bibr" rid="ref109">Wade and Halligan, 2017</xref>). Brain age can be utilized in this context as an indicator of general health (<xref ref-type="bibr" rid="ref58">Kaufmann et al., 2019</xref>), using the different levels of observation (bio-psycho-social) to describe brain age relationships with different phenotypes. While there are some studies providing evidence for brain age associations with bio-psycho-social factors, including demographic, biomedical, lifestyle, cognitive, and behavioral factors (<xref ref-type="bibr" rid="ref19">Cole, 2020</xref>; <xref ref-type="bibr" rid="ref28">de Lange et al., 2021</xref>; <xref ref-type="bibr" rid="ref8">Beck et al., 2022b</xref>; <xref ref-type="bibr" rid="ref66">Leonardsen et al., 2022</xref>; <xref ref-type="bibr" rid="ref102">Sone et al., 2022</xref>), it remains unclear whether brain age derived from different diffusion approaches relates differentially to sociodemographic, health, life-satisfaction, and cognitive factors (<xref rid="fig1" ref-type="fig">Figure 1</xref>), and what the qualities of such relationships are.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Overview of the variables used.</p>
</caption>
<graphic xlink:href="fpsyg-14-1117732-g001.tif"/>
</fig>
<p>While brain age is a proxy for different health-related processes, similar to various bio-psycho-social factors, it remains largely unclear how brain age and bio-psycho-social factors associate. It is hence necessary to increase our understanding and the interpretability of brain age by observing the associations of common phenotypes with brain age. There are large differences in the usage of underlying data and machine learning approaches applied to the data for brain age predictions (<xref ref-type="bibr" rid="ref04">Franke and Gaser, 2019</xref>). Practical effects of such differences, for example, on phenotype associations, have yet to be systematized to better interpret brain age and BAG. The bio-psycho-social approach (<xref ref-type="bibr" rid="ref34">Engel, 1977</xref>) lends itself to categorizing phenotypes into concrete groups. Within the groups, phenotype associations with brain age in general can be considered in addition to differences in underlying data used to calculate brain age. Here, we limit our investigations to dMRI-derived brain age to examine brain age relationships with bio-psycho-social factors specific to WM. WM has repeatedly been shown to change throughout ageing and to relate to different bio-psycho-social variables (<xref ref-type="bibr" rid="ref03">Le Bihan and Iima 2015</xref>; <xref ref-type="bibr" rid="ref7">Beck et al., 2021</xref>, <xref ref-type="bibr" rid="ref6">2022a</xref>,<xref ref-type="bibr" rid="ref8">b</xref>). Although comparisons of single MRI modality predictions from either T1-weighted or dMRI depend on the model selection and observed parameter choice (<xref ref-type="bibr" rid="ref82">Niu et al., 2019</xref>; <xref ref-type="bibr" rid="ref93">Rokicki et al., 2021</xref>), models using T1-weighted and dMRI features show comparable age prediction performance (<xref ref-type="bibr" rid="ref19">Cole, 2020</xref>; <xref ref-type="bibr" rid="ref28">de Lange et al., 2021</xref>). However, phenotype-WM-brain-age relationships require still further examination. Using different diffusion approaches in this context will not only help extend commonly used diffusion tensor imaging by giving reference values to other brain age derived from other WM metrics but also provide a clearer understanding of WM-phenotype associations.</p>
<p>Diffusion MRI can describe various biological processes by providing markers of brain tissue changes across the lifespan (<xref ref-type="bibr" rid="ref7">Beck et al., 2021</xref>). These markers are not only heritable (<xref ref-type="bibr" rid="ref33">Elliott et al., 2018</xref>) but also indicative of health, for example, by being associated with psychiatric and neurological disorders, addiction, stroke (<xref ref-type="bibr" rid="ref03">Le Bihan and Iima 2015</xref>), or cardiovascular health (<xref ref-type="bibr" rid="ref8">Beck et al., 2022b</xref>). Various diffusion metrics that have previously been related to cognitive and mental health traits have also shared genetic underpinnings with cognitive and mental health phenotypes (<xref ref-type="bibr" rid="ref116">Zhao et al., 2021</xref>). The biological underpinnings of dMRI markers become particularly apparent in WM abnormalities observed in severe mental disorders, including schizophrenia (<xref ref-type="bibr" rid="ref15">Cetin-Karayumak et al., 2020</xref>) or bipolar disorder (<xref ref-type="bibr" rid="ref47">Houenou et al., 2007</xref>). Furthermore, dMRI-derived brain age is higher in people showing accumulations of cardiometabolic risk and markers of adipose tissue distribution (<xref ref-type="bibr" rid="ref6">Beck et al., 2022a</xref>,<xref ref-type="bibr" rid="ref8">b</xref>). Such associations between phenotypes and brain age can also be observed when comparing high to low socioeconomic status (SES) groups, where low SES individuals have lower WM integrity (<xref ref-type="bibr" rid="ref86">Pavlakis et al., 2015</xref>; <xref ref-type="bibr" rid="ref97">Shaked et al., 2019</xref>).</p>
<p>Furthermore, dMRI offers both single and multi-shell approaches and various meaningful metrics describing white matter microstructure (<xref ref-type="bibr" rid="ref52">Jensen et al., 2005</xref>; <xref ref-type="bibr" rid="ref38">Fieremans et al., 2011</xref>; <xref ref-type="bibr" rid="ref54">Kaden et al., 2016a</xref>,<xref ref-type="bibr" rid="ref55">b</xref>; <xref ref-type="bibr" rid="ref90">Reisert et al., 2017</xref>), which serve as a good basis for brain age estimations (<xref ref-type="bibr" rid="ref7">Beck et al., 2021</xref>; <xref ref-type="bibr" rid="ref61">Korbmacher et al., 2022</xref>) exploiting biophysically meaningful parameters of brain tissue in contrast to general measures such as grey/white volume or thickness.</p>
<p>While there are various diffusion models offering a plethora of metrics, most efforts have focussed on DTI which provides fractional anisotropy, which decreases, and radial, axial, and mean diffusivity, which increase over the lifetime, respectively, indicating a loss of structural integrity (<xref ref-type="bibr" rid="ref111">Westlye et al., 2010</xref>; <xref ref-type="bibr" rid="ref9">Behler et al., 2021</xref>). Advanced diffusion approaches also examine structural integrity, but adding further detail such as the differentiation between intra-and extra-axonal space, parametrization of extra-axonal diffusivity, and axonal bundle distribution (<xref ref-type="bibr" rid="ref52">Jensen et al., 2005</xref>; <xref ref-type="bibr" rid="ref38">Fieremans et al., 2011</xref>; <xref ref-type="bibr" rid="ref54">Kaden et al., 2016a</xref>,<xref ref-type="bibr" rid="ref55">b</xref>; <xref ref-type="bibr" rid="ref90">Reisert et al., 2017</xref>).</p>
<p>Differences in brain age-phenotype relationships can be expected when varying dMRI approaches, as varying underlying dMRI approaches will also produce variability in brain age predictions (see <xref ref-type="bibr" rid="ref7">Beck et al., 2021</xref>; <xref ref-type="bibr" rid="ref61">Korbmacher et al., 2022</xref>), potentially due to measuring different bio-physical processes (<xref ref-type="bibr" rid="ref52">Jensen et al., 2005</xref>; <xref ref-type="bibr" rid="ref38">Fieremans et al., 2011</xref>; <xref ref-type="bibr" rid="ref54">Kaden et al., 2016a</xref>,<xref ref-type="bibr" rid="ref55">b</xref>; <xref ref-type="bibr" rid="ref90">Reisert et al., 2017</xref>). These potential differences become important when attempting to generalize findings on brain age across the literature and setting standards for brain age predictions. However, to what extent age predictions based on single and multi-shell dMRI approaches relate differentially to phenotypes requires further investigation. Hence, comparing dMRI-based brain age predictions can be fruitful, not only when expanding current efforts of examining brain age associations with phenotypes but also by investigating whether differences in the underlying data can influence relationships of brain age with bio-psycho-social variables.</p>
<p>State-of-the-art conceptualizations of health, such as the bio-psycho-social model (<xref ref-type="bibr" rid="ref34">Engel, 1977</xref>), recommend considering various domains or levels of explanation when assessing health outcomes, such as brain age. In that sense, brain age can related to different biological, psychological and social factors. The extent of the relationships are important as they can inform on which bio-psycho-social factors lead to better compared to worse brain or general health. Beyond validating brain age as a concept, this can directly improve our understanding of health. To date, brain age is usually calculated from a large range of MRI features. The resulting brain age estimate is then usually predicted from single variables of interest while controlling for sex and age (e.g., <xref ref-type="bibr" rid="ref19">Cole, 2020</xref>; <xref ref-type="bibr" rid="ref66">Leonardsen et al., 2022</xref>). However, cumulative and synergy effects can be expected to partly explain health, which has, for example, been shown for cardiometabolic risk factors explaining brain age (see <xref ref-type="bibr" rid="ref6">Beck et al., 2022a</xref>,<xref ref-type="bibr" rid="ref8">b</xref>). Hence, we group available phenotypes that have previously been found influential for health (<xref rid="fig1" ref-type="fig">Figure 1</xref>) into health and lifestyle factors, representing the biological dimension of the bio-psycho-social model, respectively (<xref ref-type="bibr" rid="ref35">Erhardt, 2009</xref>; <xref ref-type="bibr" rid="ref81">Ning et al., 2020</xref>; <xref ref-type="bibr" rid="ref42">Gill et al., 2021</xref>; <xref ref-type="bibr" rid="ref108">Vidal-Pineiro et al., 2021</xref>; <xref ref-type="bibr" rid="ref6">Beck et al., 2022a</xref>,<xref ref-type="bibr" rid="ref8">b</xref>; <xref ref-type="bibr" rid="ref88">Pham et al., 2022</xref>). Life satisfaction factors and cognitive factors represent the psychological dimension, and sociodemographic factors the social dimension of the bio-psycho-social model, respectively.</p>
<p>Generally, explaining brain age variance is required to further our understanding of brain age and its multivariate relationship with different phenotypes influencing physiology directly or indirectly. We, therefore, extend previous work by explaining variance in brain age by combining sets of bio-psycho-social variables into domains of sociodemographic, health, life satisfaction, and cognitive factors (<xref rid="fig1" ref-type="fig">Figure 1</xref>) to assess their associations with brain age. In addition to exploring associations of bio-psycho-social variables with dMRI-based brain age, we differentiate between diffusion approaches used for brain age predictions and exame the consistency across diffusion approaches. Previous findings revealed weak associations of various phenotypes with brain age in the UK Biobank (e.g., <xref ref-type="bibr" rid="ref101">Smith et al., 2019</xref>; <xref ref-type="bibr" rid="ref19">Cole, 2020</xref>). Hence, we expect only small proportions of the variance in brain age to be predicted by bio-psycho-social variables. We also hypothesize that factors directly representing or impacting physiology are more predictive of brain age than those which impact physiology only indirectly. Thus, health factors are presumed to be more predictive of brain age than sociodemographic, cognitive, and life satisfaction factors. Finally, we expect some variability in these associations to be due to the underlying diffusion approach, as different WM properties are also expected to be differentially related to phenotypes. We may move brain age closer to the clinical utility by furthering our understanding of brain age.</p>
</sec>
<sec id="sec2" sec-type="methods">
<label>2.</label>
<title>Methods</title>
<sec id="sec3">
<label>2.1.</label>
<title>Sample characteristics</title>
<p>The sample used has been described elsewhere (<xref ref-type="bibr" rid="ref61">Korbmacher et al., 2022</xref>). In brief, the UK Biobank (UKB) (<xref ref-type="bibr" rid="ref104">Sudlow et al., 2015</xref>) diffusion MRI data consisted of <italic>N</italic>&#x2009;=&#x2009;42,208 participants. We excluded subjects who withdrew their informed consent (up to 22nd of February 2022) or with an ICD-10 diagnosis from categories F, G, I, or stroke from the general health assessment (Field 42,006; excluded: <italic>N</italic>&#x2009;=&#x2009;3,521). We also excluded data that did not pass our quality control (<italic>N</italic>&#x2009;=&#x2009;2,938) using the YTTRIUM method (<xref ref-type="bibr" rid="ref73">Maximov et al., 2021</xref>). In brief, YTTRIUM converts diffusion scalar metric into 2D format using a structural similarity extension (<xref ref-type="bibr" rid="ref110">Wang et al., 2004</xref>) of each scalar map to their mean image to create a 2D distribution of image and diffusion parameters. Quality check is based on 2 step clustering algorithm in order to identify subjects out of the main distribution. Our final sample consisted of 35,749 healthy adults. For an overview of demographics and the bio-psycho-social variables included in this study and their relationship with brain age see <xref rid="tab1" ref-type="table">Table 1</xref>.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Overview of the predictors used in the bio-psycho-social models.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Model</th>
<th align="left" valign="top">Predictors</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="bottom">Model 1. Baseline</td>
<td align="left" valign="bottom">Age<break/>Sex<break/>Scanner site&#x002A;</td>
</tr>
<tr>
<td align="left" valign="bottom">Model 2. Socio-demographics</td>
<td align="left" valign="bottom">Age<break/>Sex<break/>Scanner site&#x002A;<break/>Ethnicity<break/>Income<break/>Education<break/>Nb of social visits</td>
</tr>
<tr>
<td align="left" valign="bottom">Model 3. Cognitive Scores</td>
<td align="left" valign="bottom">Age<break/>Sex<break/>Scanner site&#x002A;<break/>Prospective memory<break/>Fluid intelligence<break/>Symbol digit substitution<break/>Pair matches<break/>Matrix puzzles<break/>Tower arranging<break/>Digit memorization</td>
</tr>
<tr>
<td align="left" valign="bottom">Model 4. Life satisfaction</td>
<td align="left" valign="bottom">Age<break/>Sex<break/>Scanner site&#x002A;<break/>Financial and job satisfaction<break/>Friend and family relation satisfaction<break/>Happiness</td>
</tr>
<tr>
<td align="left" valign="bottom">Model 5. Health and lifestyle</td>
<td align="left" valign="bottom">Age<break/>Sex<break/>Scanner site&#x002A;<break/>BMI<break/>WHR<break/>Pulse pressure<break/>Diabetes<break/>Smoking<break/>High cholesterol<break/>Diagnosed vascular disorder<break/>Birth weight<break/>Sleeping hours<break/>Daily coffee intake<break/>Alcohol drinker</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;Random effect.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec4">
<label>2.2.</label>
<title>MRI acquisition, diffusion post-processing, and TBSS analysis</title>
<p>UKB MRI data acquisition procedures are described elsewhere (<xref ref-type="bibr" rid="ref104">Sudlow et al., 2015</xref>; <xref ref-type="bibr" rid="ref76">Miller et al., 2016</xref>; <xref ref-type="bibr" rid="ref2">Alfaro-Almagro et al., 2018</xref>). Briefly, single and multi-shell data were acquired at four different locations using identical scanners: 3&#x2009;T Siemens Skyra, with a standard 32-channel head coil and key diffusion parameters being MB&#x2009;=&#x2009;3, <italic>R</italic>&#x2009;=&#x2009;1, TE/TR&#x2009;=&#x2009;92/3600&#x2009;ms, PF 6/8, fat sat, b&#x2009;=&#x2009;0&#x2009;s/mm<sup>2</sup> (5x&#x2009;+&#x2009;3&#x00D7; phase-encoding reversed), <italic>b</italic>&#x2009;=&#x2009;1,000&#x2009;s/mm<sup>2</sup> (50&#x00D7;), b&#x2009;=&#x2009;2,000&#x2009;s/mm<sup>2</sup> (50&#x00D7;) (<xref ref-type="bibr" rid="ref2">Alfaro-Almagro et al., 2018</xref>).</p>
<p>We obtained access to the raw diffusion data and pre-processed the data using an optimized pipeline as described by <xref ref-type="bibr" rid="ref72">Maximov et al. (2019)</xref>. The pipeline includes corrections for noise (<xref ref-type="bibr" rid="ref107">Veraart et al., 2016</xref>), Gibbs ringing (<xref ref-type="bibr" rid="ref59">Kellner et al., 2016</xref>), susceptibility-induced and motion distortions, and eddy current artifacts (<xref ref-type="bibr" rid="ref3">Andersson and Sotiropoulos, 2016</xref>). Isotropic 1&#x2009;mm<sup>3</sup> Gaussian smoothing was carried out using FSL&#x2019;s (<xref ref-type="bibr" rid="ref100">Smith et al., 2004</xref>; <xref ref-type="bibr" rid="ref51">Jenkinson et al., 2012</xref>) <italic>fslmaths</italic>. Employing the multi-shell data, Diffusion Tensor Imaging (DTI), Diffusion Kurtosis Imaging (DKI) (<xref ref-type="bibr" rid="ref52">Jensen et al., 2005</xref>) and White Matter Tract Integrity (WMTI) (<xref ref-type="bibr" rid="ref38">Fieremans et al., 2011</xref>) metrics were estimated using Matlab 2017b code.<xref rid="fn0003" ref-type="fn"><sup>1</sup></xref> Spherical mean technique SMT (<xref ref-type="bibr" rid="ref55">Kaden et al., 2016b</xref>), and multi-compartment spherical mean technique (mcSMT) (<xref ref-type="bibr" rid="ref54">Kaden et al., 2016a</xref>) metrics were estimated using original code<xref rid="fn0004" ref-type="fn"><sup>2</sup></xref> (<xref ref-type="bibr" rid="ref54">Kaden et al., 2016a</xref>,<xref ref-type="bibr" rid="ref55">b</xref>). Estimates from the Bayesian Rotational Invariant Approach (BRIA) were evaluated by the original Matlab code<xref rid="fn0005" ref-type="fn"><sup>3</sup></xref> (<xref ref-type="bibr" rid="ref90">Reisert et al., 2017</xref>).</p>
<p>Previous advances observing age-dependent WM changes have largely focused on single-shell diffusion, such as DTI with DTI-derived metrics being fractional anisotropy (FA), and axial (AD), mean (MD), and radial (RD) diffusivity, all being highly sensitive to age (<xref ref-type="bibr" rid="ref111">Westlye et al., 2010</xref>; <xref ref-type="bibr" rid="ref22">Cox et al., 2016</xref>; <xref ref-type="bibr" rid="ref7">Beck et al., 2021</xref>). More recently developed multi-shell diffusion approaches which extend the space of derivable diffusion metrics appear more sensitive to brain changes and sex differences (<xref ref-type="bibr" rid="ref63">Lawrence et al., 2021</xref>), and at the same time less sensitive to motion artefacts than single-shell models (<xref ref-type="bibr" rid="ref89">Pines et al., 2020</xref>). Newer approaches are (1) BRIA, as an alternative to not rely on fiber orientation but rotation invariant feature (<xref ref-type="bibr" rid="ref90">Reisert et al., 2017</xref>), (2) DKI, a method tackling the problem of non-Gaussian diffusion (<xref ref-type="bibr" rid="ref52">Jensen et al., 2005</xref>); (3) WMTI, which extends DKI by calculating inter and extra-axonal features (<xref ref-type="bibr" rid="ref38">Fieremans et al., 2011</xref>); and (4) SMT (<xref ref-type="bibr" rid="ref55">Kaden et al., 2016b</xref>) and (5) mcSMT, which factor out neurite orientation to give a better estimate of microscopic diffusion anisotropy (<xref ref-type="bibr" rid="ref54">Kaden et al., 2016a</xref>). The selection of diffusion models was dictated by a few practical reasons. There are two conventional approaches (DTI and DKI) describing the general WM changes. As a result, these approaches are expected to be sensitive to a broad range of aging-related effects associated with WM maturation (<xref ref-type="bibr" rid="ref111">Westlye et al., 2010</xref>; <xref ref-type="bibr" rid="ref115">Yap et al., 2013</xref>). Advanced dMRI approaches enable more detailed quantification associated with age in a different manner (<xref ref-type="bibr" rid="ref22">Cox et al., 2016</xref>; <xref ref-type="bibr" rid="ref7">Beck et al., 2021</xref>). Diffusion modelling relies on biophysically motivated assumptions such as the axon bundle distribution (WMTI) or attempts to suppress such kind of parameters (SMT and SMT mc). Another modelling option are Bayesian rotation invariants (BRIA), providing multiple measures of WM but depending on efficacy of initial Bayesian simulations. All together, these approaches allow us to indirectly verify the stability and reliability of diffusion assumptions in brain-age prediction on their own and in comparison to each other, or to determine similarity among scalar metrics appearing in several diffusion approaches.</p>
<p>In total, we obtained 28 metrics (<xref rid="SM1" ref-type="supplementary-material">Supplementary Table S1</xref>) from six diffusion modeling approaches (DTI, DKI, WMTI, SMT, mcSMT, and BRIA). To normalize all metrics, we used tract-based spatial statistics (TBSS) (<xref ref-type="bibr" rid="ref99">Smith et al., 2006</xref>) as part of FSL (<xref ref-type="bibr" rid="ref100">Smith et al., 2004</xref>; <xref ref-type="bibr" rid="ref51">Jenkinson et al., 2012</xref>). In brief, initially, all FSL BET-extracted (<xref ref-type="bibr" rid="ref98">Smith, 2002</xref>) FA images were aligned to MNI space using non-linear transformation (FNIRT) (<xref ref-type="bibr" rid="ref51">Jenkinson et al., 2012</xref>). Subsequently, we derived the mean FA image and the related mean FA skeleton. Each diffusion scalar map was projected onto the mean FA skeleton using the standard TBSS procedure. To provide a quantitative description of diffusion metrics we evaluated averaged values over the skeleton and two WM atlases, namely the Johns Hopkins University (JHU) atlas (<xref ref-type="bibr" rid="ref78">Mori et al., 2005</xref>) and the JHU tractography atlas (<xref ref-type="bibr" rid="ref02">Hua et al., 2008</xref>; see <xref rid="SM1" ref-type="supplementary-material">Supplementary Table S2</xref> for an overview). Finally, we obtained 20 WM tracts and 48 regions of interest (ROIs) based on a probabilistic WM atlas (JHU) (<xref ref-type="bibr" rid="ref02">Hua et al., 2008</xref>) for each of the 28 metrics, including the mean skeleton values. Altogether, we derived 1,932 features per individual [28 metrics &#x002A; (48 ROIs +1 skeleton mean&#x2009;+&#x2009;20 tracts)]; see <xref rid="SM1" ref-type="supplementary-material">Supplementary Table S1</xref> for metrics and <xref rid="SM1" ref-type="supplementary-material">Supplementary Table S2</xref> for regions and tracts.</p>
</sec>
<sec id="sec5">
<label>2.3.</label>
<title>Brain age predictions</title>
<p>We computed brain age predictions derived from 8 different models including the six diffusion approaches, their whole-brain average scores (mean multimodal), and a model combining the six diffusion approaches and their whole-Brian average scores (full multimodal). Each of the six diffusion approaches details WM features based on differing modelling assumptions and were assumed to provide unique brain age scores. Whole-brain average scores for each of the six diffusion approaches&#x2019; metrics were investigated on their own to further our understanding of spacial specificity. Finally, previous results (<xref ref-type="bibr" rid="ref26">de Lange et al., 2020b</xref>; <xref ref-type="bibr" rid="ref7">Beck et al., 2021</xref>, <xref ref-type="bibr" rid="ref8">2022b</xref>) provide clear evidence of strong age prediction performance when combining diffusion metrics. We hence included a model combining all diffusion approaches&#x2019; metrics and their whole-brain average scores to compare whether there are differences in multimodal to single diffusion approaches&#x2019; brain-age-phenotype associations.</p>
<p>Brain age was predicted using the XGBoost tree-boosting algorithm (gradient boosting tree) implemented in Python (v3.7.1), being a highly effective algorithm for tabular data (<xref ref-type="bibr" rid="ref16">Chen and Guestrin, 2016</xref>). From the total included sample (<italic>N</italic>&#x2009;=&#x2009;35,749), we used 10% (N&#x2009;=&#x2009;3,575) for hyperparameter tuning on a data set containing data from all diffusion approaches (i.e., full multimodal data with 1,932 features/parameters) using 5-fold cross-validation (after estimating an optimal hyperparameter tuning set size; <xref ref-type="bibr" rid="ref61">Korbmacher et al., 2022</xref>). The considered hyperparameters for the randomized grid search were (1) learning rate with a range of 0.01&#x2013;0.3 and steps of 0.05, (2) maximum layers/depth with a range of 3&#x2013;6 and steps of 1, and (3) number of trees with a range of 100&#x2013;1,000 and steps of 50. The resulting hyperparameters (learning rate&#x2009;=&#x2009;0.05, max layers/depth&#x2009;=&#x2009;3, and the number of trees&#x2009;=&#x2009;750) were then used in a 10-fold cross-validation applied to the test set (<italic>N</italic>&#x2009;=&#x2009;32,174). Cross-validation was used to leverage the full sample size and to calculate the uncertainty around the estimates (for such see <xref ref-type="bibr" rid="ref61">Korbmacher et al., 2022</xref>). The cross-validation procedure was executed using each of the six diffusion approaches&#x2019; metrics, whole-brain averaged metrics for all approaches (mean multimodal model), and finally a combination of all approaches and the whole-brain average scores (full multimodal model), resulting in eight brain age models (see <xref rid="SM1" ref-type="supplementary-material">Supplementary Table S1</xref> for dMRI approach-specific metrics). Each of these brain ages were used in the analyses. See <xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S1</xref> for an overview of the brain age models and the following modelling of these predictions from the bio-psycho-social models.</p>
</sec>
<sec id="sec6">
<label>2.4.</label>
<title>Statistical analyses</title>
<p>All statistical analyses were carried out using Python, version 3.7.1 and R, version 4.2.0<xref rid="fn0006" ref-type="fn"><sup>4</sup></xref> using test data set (<italic>N</italic>&#x2009;=&#x2009;32,174). These analyses focused on the associations between brain age and (1) demographics, (2) social factors, (3) cognitive test scores, (4) life satisfaction, and (5) health and lifestyle factors (with weight on cardiometabolic factors). For detailed information on how variables were extracted and coded see <xref rid="SM1" ref-type="supplementary-material">Supplementary Table S3</xref>. First, we calculated the first principal component of bio-psycho-social factors&#x2019; by grouping numeric variables of each of the 5 domains (demographics, social factors, cognitive tests scores, life satisfaction, and health and lifestyle factors), using scaling and the number of allowed components equal to the number of variables included. We then examined the first components&#x2019; associations with brain age. Second, we examined to which extend multivariate models (as specified in 2.4.1) explain brain age from the factors of the five bio-psycho-social domains. Finally, we tested whether our findings would be influenced by analyzing data separately for males and females, and present bi-variate relationships between multimodal brain age and single bio-psycho-social variables.</p>
<p>For bi-variate relationships between bio-psycho-social factors and full multimodal brain age, we adjusted <italic>p</italic>-values for multiple comparison using Bonferroni correction, dividing the alpha-level by twenty-five (&#x03B1;/25), the number of bi-variate associations observed. For multivariate relationships we divided alpha by eight (&#x03B1;/8), the number of brain age models used. Furthermore, the coefficient of determination describing the proportion of variance explained (<italic>R</italic><sup>2</sup>) will be presented as marginal <italic>R</italic><sup>2</sup>, referring to variance explained by fixed effects, and conditional <italic>R</italic><sup>2</sup>, referring to both fixed and random effects variance explained.</p>
<sec id="sec7">
<label>2.4.1.</label>
<title>Bio-psycho-social models explaining brain age</title>
<p>We used linear mixed effects models with the random intercepts at the level of scanner site to explain changes in brain age from socio-demographics, cognitive test scores, life satisfaction (self-assessment), and health and lifestyle factors. The presented models were used in two different ways: first, with the principal component of the model-specific bio-psycho-social factors replacing the respective bio-psycho-social factors, and second using all eight brain ages from the different diffusion approaches on with the models. For an overview of the predictors in the multivariate bio-psycho-social models used see <xref rid="tab1" ref-type="table">Table 1</xref>.</p>
<p>We established the following models to compare:</p>
<p>(1) A baseline model capturing the relationship of age, sex, the age-sex interaction, and scanner site with brain age. This baseline model was selected as predicted age is expected to be largely reflected by chronological age. However, also sex (e.g., <xref ref-type="bibr" rid="ref93">Rokicki et al., 2021</xref>), and scanner site (here, Bristol, Cheadle, Newcastle, Reading) and prediction bias (e.g., <xref ref-type="bibr" rid="ref53">Jirsaraie et al., 2022</xref>) have been shown to be influential for brain age. Using a baseline model and additional models for comparison had the goal to estimate added variance explained by the bio-psycho-social models above and beyond the baseline mode (<xref ref-type="bibr" rid="ref13">Bollen, 1989</xref>). Additionally, predictors within these bio-psycho-social models were observed individually (bivariate compared to multivariate relationships with brain age). Model comparison to a baseline model (instead of a null model) is important in this context as brain age is sensitive to age, sex and scanner site (<xref ref-type="bibr" rid="ref27">de Lange and Cole, 2020</xref>; <xref ref-type="bibr" rid="ref93">Rokicki et al., 2021</xref>; <xref ref-type="bibr" rid="ref53">Jirsaraie et al., 2022</xref>). Hence, instead of using a null model which does not contain much information, we used the following model as a reference point for further model comparison:</p>
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<p>(2) A sociodemographic model additionally included ethnic ancestry (binary yes/no self-reported white European; for additional information sample groupings by ethnicity see <xref rid="SM1" ref-type="supplementary-material">Supplementary Table S4</xref>), average annual total household income before tax (coded as continuous variable 1&#x2013;5, with low &#x003C;&#x00A3;18,000 to high income &#x003E;&#x00A3;100,000), and higher education (binary yes/no self-report of having obtained higher education) relative to the baseline model.</p>
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<p>(3) A cognitive model testing how non-verbal cognitive abilities add to the baseline model (overview: <xref ref-type="bibr" rid="ref37">Fawns-Ritchie and Deary, 2020</xref>). We limited the selection of cognitive variables to non-verbal assessment measures to reduce the parameter space of cognitive variables and as non-verbal assessment scores have been found to associated with dMRI metrics throughout the lifespan (e.g., <xref ref-type="bibr" rid="ref105">Sullivan and Pfefferbaum, 2006</xref>; <xref ref-type="bibr" rid="ref96">Sasson et al., 2010</xref>; <xref ref-type="bibr" rid="ref74">McPhee et al., 2019</xref>; <xref ref-type="bibr" rid="ref85">Parikh et al., 2021</xref>). Namely, the number of matrix puzzles solved (matrixS) testing non-verbal reasoning using COGNITO Matrices, tower arranging correctly solved (towerS) testing executive function using the Delis-Kaplan Executive Function System Tower Test, prospective memory (memory) assessed with the Rivermead Behavioural Memory Test, fluid intelligence (intel) from the UKB own Fluid IQ test, digits remembered (digits) from the Symbol Digit Modalities Tests, and the mean number of incorrect pair matches (IPM) across trail A and B assessing visual declarative memory using the Wechsler Memory Scale IV Designs I and Designs II. Correlations were small to moderate (<italic>r<sub>max</sub></italic>&#x2009;=&#x2009;0.41) with the variance inflation factor (VIF) indicating low levels of multicollinearity (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S2</xref>).</p>
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<p>(4) A life satisfaction model that additionally included job satisfaction (jobS), financial satisfaction (financeS), overall health rating (healthR), health satisfaction (healthS), family relation satisfaction (famS), happiness, friend relationship satisfaction (friendS) relative to the baseline model. Some of the model features were highly correlated (<italic>r<sub>max</sub></italic>&#x2009;=&#x2009;0.65), yet VIF values indicated low levels of multicollinearity (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S3</xref>).</p>
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<p>(5) A health and lifestyle model testing how body mass index (BMI), pulse pressure (Ppressure: the difference between systolic and diastolic blood pressure), waist-to-hip-ratio (WHR), binary smoking status, binary diabetes diagnosis (both type I and II), binary high cholesterol (chol), binary diagnosed vascular problem (DVP), birth weight (Bweight), sleeping hours, and daily coffee intake (coffee) add to the baseline model, with only BMI and WHR showing a moderate correlation <italic>r</italic>&#x2009;=&#x2009;0.42, but all other correlations being small <italic>rs</italic>&#x2009;&#x003C;&#x2009;0.16, with VIF values indicating only low levels of multicollinearity (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S4</xref>).</p>
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</sec>
<sec id="sec8">
<label>2.4.2.</label>
<title>Follow-up and quality control analyses and single bio-psycho-social factor associations with multimodal brain age</title>
<p>Previous research showed sex differences in brain age, suggesting sex separate analyses (<xref ref-type="bibr" rid="ref93">Rokicki et al., 2021</xref>). Hence, we conducted the analyses described in 2.4.1 separately for males and females.</p>
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<p>To examine the contributions of single bio-psycho-social variables to explaining WM brain age, linear mixed models were used to observe bio-psycho-social variable associations with brain age when controlling for age and sex with scanner site as a random factor. In other words, different from 2.4.1, we applied one model per bio-psycho-social factor. For simplicity, this analysis step only considered the best brain age predictions from the multimodal model including the metrics of all diffusion approaches (<xref ref-type="bibr" rid="ref61">Korbmacher et al., 2022</xref>).</p>
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<p>Each model was then compared to a model not including the respective bio psycho social variable:</p>
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</sec>
</sec>
</sec>
<sec id="sec9" sec-type="results">
<label>3.</label>
<title>Results</title>
<sec id="sec10">
<label>3.1.</label>
<title>Linear mixed effect models explaining brain age gap from bio-psycho-social factors</title>
<p>We ran the proposed five baseline and bio-psycho-social models with the first principal component (PC) of the numeric predictors from each of the models showing a small proportion of the variance in brain age uniquely explained by the principal components (<italic>R</italic><sup>2</sup>&#x2009;&#x003C;&#x2009;1%; <xref rid="SM1" ref-type="supplementary-material">Supplementary Table S5</xref>), with differences between these models and respective baseline models yet being highly significant (<xref rid="SM1" ref-type="supplementary-material">Supplementary Table S6</xref>).</p>
<p>When including bio-psycho-social factors instead of their PCs and comparing baseline to models 2&#x2013;5, a larger proportion of both marginal or conditional variance in brain age could be uniquely explained by bio-psycho-social variables (marginal and conditional <italic>R</italic><sup>2</sup>&#x2009;&#x003C;&#x2009;0.03; <xref rid="fig2" ref-type="fig">Figure 2</xref> and <xref rid="SM1" ref-type="supplementary-material">Supplementary Table S7</xref>). Model comparisons showed that, with the exception of socio-demographic factors, bio-psycho-social models explained significantly more variance in brain age than the baseline model (with age, sex, and age-by-sex interaction as fixed and scanner site as random effect), irrespective of the diffusion approach used to calculate brain age (<italic>ps</italic>&#x2009;&#x003C;&#x2009;0.01; <xref rid="fig3" ref-type="fig">Figure 3</xref>). Differences between this uniquely explained marginal variance were small across diffusion approaches (<xref rid="fig2" ref-type="fig">Figure 2</xref>).</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Marginal <italic>R</italic><sup>2</sup> values for statistical models across diffusion approaches.</p>
</caption>
<graphic xlink:href="fpsyg-14-1117732-g002.tif"/>
</fig>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Overview of comparison of bio-psycho-social statistical models with baseline models. The figure presents <italic>&#x03C7;</italic><sup>2</sup> values for each of the bio-psycho-social statistical models for each diffusion approach tested against the baseline model. Note that only values of &#x03C7;<sup>2</sup>&#x2009;&#x003E;&#x2009;11 were significant (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05).</p>
</caption>
<graphic xlink:href="fpsyg-14-1117732-g003.tif"/>
</fig>
<p>Across statistical and diffusion models, age was used as a control variable to correct for the mere reflection of age by brain age producing stable associations across models (1&#x2013;5) for multimodal brain age (<xref rid="fig4" ref-type="fig">Figures 4</xref>&#x2013;<xref rid="fig7" ref-type="fig">7</xref>). However, except for the life-satisfaction model, in contrast to the full multimodal model, the other diffusion approaches&#x2019; brain ages were negatively associated with age, giving another indication of overall poor model fit. Even more so, the effect of sex was dependent on the model, producing mixed effects with large uncertainty surrounding <italic>&#x03B2;-</italic>values, also in the age-by-sex interactions&#x2019; associations with brain age. Overall, bio-psycho-social factors were consistently associated with brain ages from different diffusion approaches, with the exception for sex (<xref rid="fig4" ref-type="fig">Figures 4</xref>&#x2013;<xref rid="fig7" ref-type="fig">7</xref>).</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Sociodemographic model predictors&#x2019; standardized beta-values with standard error. &#x002A;Indicates Bonferroni-corrected <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05.</p>
</caption>
<graphic xlink:href="fpsyg-14-1117732-g004.tif"/>
</fig>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>Health model predictors&#x2019; standardized beta-values with standard error. &#x002A;Indicates Bonferroni-corrected <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05.</p>
</caption>
<graphic xlink:href="fpsyg-14-1117732-g005.tif"/>
</fig>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption>
<p>Well-being model predictors&#x2019; standardized beta-values with standard error. &#x002A;Indicates Bonferroni-corrected <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05.</p>
</caption>
<graphic xlink:href="fpsyg-14-1117732-g006.tif"/>
</fig>
<fig position="float" id="fig7">
<label>Figure 7</label>
<caption>
<p>Cognition model predictors&#x2019; standardized beta-values with standard error. &#x002A;Indicates Bonferroni-corrected <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05.</p>
</caption>
<graphic xlink:href="fpsyg-14-1117732-g007.tif"/>
</fig>
<sec id="sec11">
<label>3.1.1.</label>
<title>Sociodemographic factors&#x2019; associations with brain age</title>
<p>In the model including sociodemographic factors explaining brain age (see <xref rid="fig4" ref-type="fig">Figure 4</xref> for the predictors), results were mixed for the significant predictors. Sex was a significant predictor for mean DKI, DTI, and WMTI (<italic>ps</italic>&#x2009;&#x003C;&#x2009;0.05), the age-by-sex interaction only for BRIA (<italic>p</italic>&#x2009;=&#x2009;0.045), and ethnicity only for DKI (<italic>p</italic>&#x2009;=&#x2009;0.012; <xref rid="fig4" ref-type="fig">Figure 4</xref>). Overall, only 95% confidence intervals of <italic>&#x03B2;-</italic>values for age and ethnicity were not consistently overlapping, indicating differential effects of these variables on brain age based on the underlying data. All other 95% confidence intervals surrounding coefficients&#x2019; <italic>&#x03B2;-</italic>values were overlapping across diffusion approaches, with expected strong age contributions predicting brain age.</p>
</sec>
<sec id="sec12">
<label>3.1.2.</label>
<title>Health and lifestyle factors&#x2019; associations with brain age</title>
<p>Similarly, in the model including health and lifestyle factors explaining brain age (see <xref rid="fig5" ref-type="fig">Figure 5</xref> for the predictors), significant health factors leading to higher brain age were WHR (<italic>ps</italic>&#x2009;&#x003C;&#x2009;0.001), pulse pressure (<italic>ps</italic>&#x2009;&#x003C;&#x2009;0.001), and hypertension (<italic>ps</italic>&#x2009;&#x003C;&#x2009;0.001). Evidence across diffusion approaches was mixed for the other predictors with smoking predicting brain age derived from BRIA, DTI, mean scores, SNT, and WMTI (<italic>ps</italic>&#x2009;&#x003C;&#x2009;0.05), diabetes diagnosis for all models except DKI and DTI (<italic>ps</italic>&#x2009;&#x003C;&#x2009;0.05), the diagnosis of at least one vascular disease for BRIA, mean scores, and mcSMT (<italic>ps</italic>&#x2009;&#x003C;&#x2009;0.02), and average daily cups of coffee for brain age estimates except the one based on BRIA (<italic>ps</italic>&#x2009;&#x003C;&#x2009;0.01), and the age-by-sex interaction for BRIA and mcSMT (<italic>ps</italic>&#x2009;&#x003C;&#x2009;0.04).</p>
<p>Interestingly, WHR was a stronger predictor of brain age in males than in females (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S5</xref>). Practically, a WHR <italic>&#x03B2;<sub>unstd</sub></italic>-value of, for example <italic>&#x03B2;</italic>&#x2009;=&#x2009;4 would mean that for every 0.1 step change in WHR, the brain age can be expected to increase by 0.4&#x2009;years (see <xref rid="SM1" ref-type="supplementary-material">Supplementary Figures S6&#x2013;S9</xref> for <italic>&#x03B2;<sub>unstd</sub></italic>). Importantly, this association was controlled for age, as age is correlated with WHR at <italic>r</italic>&#x2009;=&#x2009;0.14 and brain age at <italic>r</italic>&#x2009;=&#x2009;0.80. Mean population values for WHR were found to be WHR&#x2009;&#x003C;&#x2009;1 (<xref ref-type="bibr" rid="ref77">Molarius et al., 1999</xref>), with our sample corresponding with these estimates (<italic>M</italic><sub>WHR</sub>&#x2009;=&#x2009;0.871&#x2009;&#x00B1;&#x2009;0.088, min&#x2009;=&#x2009;0.534, max&#x2009;=&#x2009;1.472) with males having a higher WHR (<italic>M</italic><sub>WHR</sub>&#x2009;=&#x2009;0.923&#x2009;&#x00B1;&#x2009;0.064) than females (<italic>M</italic><sub>WHR</sub>&#x2009;=&#x2009;0.817&#x2009;&#x00B1;&#x2009;0.069).</p>
<p>BMI was potentially non-significant due to the model construction as the highly correlated WHR (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S4</xref>) was a significant predictor of brain age, and BMI alone being a significant predictor of brain age (<xref rid="tab2" ref-type="table">Table 2</xref>). Finally, higher birth weight was associated with lower brain age estimated from full and mean models, as well as BRIA and WMTI (<italic>ps</italic>&#x2009;&#x003C;&#x2009;0.02).</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Linear models relating multimodal brain age to bio-psycho-social factors.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="left" valign="top">Level or metric</th>
<th align="center" valign="top">Variable value</th>
<th align="center" valign="top">Brain age<sup>1</sup>/Age<sup>1</sup></th>
<th align="center" valign="top">
<italic>N</italic><sup>2</sup></th>
<th align="center" valign="top">Marginal <italic>R</italic><sup>2</sup> diff</th>
<th align="center" valign="top">Log Likelihood<sub>diff</sub></th>
<th align="center" valign="top"><italic>&#x03C7;</italic><sup>2</sup> <italic>p</italic><sub>diff</sub><sup>4</sup></th>
<th align="center" valign="top">
<italic>&#x03B2;<sub>raw</sub>/&#x03B2;<sub>std</sub></italic><sup>3</sup></th>
<th align="center" valign="top">
<italic>p</italic>
<sub>pred</sub><sup>4</sup></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="bottom">Brain age</td>
<td align="left" valign="bottom">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="bottom">64.470&#x2009;&#x00B1;&#x2009;5.946</td>
<td/>
<td align="center" valign="bottom">32,174</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="bottom" colspan="10">Demographics</td>
</tr>
<tr>
<td align="left" valign="bottom">Scanner site</td>
<td align="left" valign="bottom">% Cheadle</td>
<td align="center" valign="bottom">57.559</td>
<td align="center" valign="bottom">63.6/63.6</td>
<td align="center" valign="bottom">18,519</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td/>
<td align="left" valign="bottom">% Newcastle</td>
<td align="center" valign="bottom">26.403</td>
<td align="center" valign="bottom">65.3/65.2</td>
<td align="center" valign="bottom">8,495</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td/>
<td align="left" valign="bottom">% Reading</td>
<td align="center" valign="bottom">15.913</td>
<td align="center" valign="bottom">66.1/66.2</td>
<td align="center" valign="bottom">5,120</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td/>
<td align="left" valign="bottom">% Bristol</td>
<td align="center" valign="bottom">0.124</td>
<td align="center" valign="bottom">67.0/67.2</td>
<td align="center" valign="bottom">40</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">Sex</td>
<td align="left" valign="bottom">% Male</td>
<td align="center" valign="bottom">47.122</td>
<td align="center" valign="bottom">65.4/65.1</td>
<td align="center" valign="bottom">17,013</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">&#x2212;1.07/0.09</td>
<td align="center" valign="bottom">0.025</td>
</tr>
<tr>
<td/>
<td align="left" valign="bottom">% Female</td>
<td align="center" valign="bottom">52.878</td>
<td align="center" valign="bottom">63.7/63.9</td>
<td align="center" valign="bottom">15,161</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">Age</td>
<td align="left" valign="bottom">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="bottom">64.473&#x2009;&#x00B1;&#x2009;7.614</td>
<td align="center" valign="bottom">64.5/64.5</td>
<td align="center" valign="bottom">32,174</td>
<td/>
<td/>
<td/>
<td align="center" valign="bottom">0.62/0.79</td>
<td align="center" valign="bottom">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="bottom" colspan="10">Socio-demographics</td>
</tr>
<tr>
<td align="left" valign="bottom">Ethnicity</td>
<td align="left" valign="bottom">European</td>
<td align="center" valign="bottom">96.800</td>
<td align="center" valign="bottom">64.5/64.6</td>
<td align="center" valign="bottom">31,160</td>
<td align="center" valign="bottom">&#x2212;1.8&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;5</sup></td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td/>
<td align="left" valign="bottom">Non-European</td>
<td align="center" valign="bottom">2.970</td>
<td align="center" valign="bottom">62.3/61.2</td>
<td align="center" valign="bottom">956</td>
<td align="center" valign="bottom">&#x2212;1.8&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;5</sup></td>
<td align="center" valign="bottom">4</td>
<td align="center" valign="bottom">0.007</td>
<td align="center" valign="bottom">&#x2212;0.31/&#x2013;0.01</td>
<td align="center" valign="bottom">185</td>
</tr>
<tr>
<td/>
<td align="left" valign="bottom">Prefer not to say</td>
<td align="center" valign="bottom">(0.180)</td>
<td align="center" valign="bottom">65.6/65.6</td>
<td align="center" valign="bottom">58</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">Income<sup>5</sup></td>
<td align="left" valign="bottom">% less &#x00A3;18&#x2009;k</td>
<td align="center" valign="bottom">10.363</td>
<td align="center" valign="bottom">65.6/66.1</td>
<td align="center" valign="bottom">3,310</td>
<td align="center" valign="bottom">1.4&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td/>
<td align="left" valign="bottom">% &#x00A3;18&#x2009;k-&#x00A3;30</td>
<td align="center" valign="bottom">24.253</td>
<td align="center" valign="bottom">65.6/66.5</td>
<td align="center" valign="bottom">7,747</td>
<td align="center" valign="bottom">1.4&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="bottom">11</td>
<td align="center" valign="bottom">&#x003C;0.001</td>
<td align="center" valign="bottom">&#x2212;0.28/&#x2013;0.02</td>
<td align="center" valign="bottom">0.003</td>
</tr>
<tr>
<td/>
<td align="left" valign="bottom">% &#x00A3;30&#x2009;k-&#x00A3;52&#x2009;k</td>
<td align="center" valign="bottom">27.713</td>
<td align="center" valign="bottom">64.6/64.7</td>
<td align="center" valign="bottom">8,852</td>
<td align="center" valign="bottom">1.4&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="bottom">11</td>
<td align="center" valign="bottom">&#x003C;0.001</td>
<td align="center" valign="bottom">&#x2212;0.29/&#x2013;0.02</td>
<td align="center" valign="bottom">&#x003C;0.001</td>
</tr>
<tr>
<td/>
<td align="left" valign="bottom">% &#x00A3;52&#x2009;k-100&#x2009;k</td>
<td align="center" valign="bottom">21.586</td>
<td align="center" valign="bottom">62.9/61.7</td>
<td align="center" valign="bottom">6,895</td>
<td align="center" valign="bottom">1.4&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="bottom">11</td>
<td align="center" valign="bottom">&#x003C;0.001</td>
<td align="center" valign="bottom">&#x2212;0.18/&#x2013;0.01</td>
<td align="center" valign="bottom">0.4</td>
</tr>
<tr>
<td/>
<td align="left" valign="bottom">%&#x2009;&#x003E;&#x2009;&#x00A3;100&#x2009;k</td>
<td align="center" valign="bottom">6.956</td>
<td align="center" valign="bottom">61.5/59.4</td>
<td align="center" valign="bottom">2,222</td>
<td align="center" valign="bottom">1.4&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="bottom">11</td>
<td align="center" valign="bottom">&#x003C;0.001</td>
<td align="center" valign="bottom">&#x2212;0.30/&#x2013;0.01</td>
<td align="center" valign="bottom">0.075</td>
</tr>
<tr>
<td/>
<td align="left" valign="bottom">Do not know</td>
<td align="center" valign="bottom">3.040</td>
<td align="center" valign="bottom">67.2/68.0</td>
<td align="center" valign="bottom">972</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td/>
<td align="left" valign="bottom">Prefer not to say</td>
<td align="center" valign="bottom">6.086</td>
<td align="center" valign="bottom">65.6/66.8</td>
<td align="center" valign="bottom">1944</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="bottom">Higher education</td>
<td align="left" valign="bottom">% Yes</td>
<td align="center" valign="bottom">49.326</td>
<td align="center" valign="bottom">64.2/63.9</td>
<td align="center" valign="bottom">15,870</td>
<td align="center" valign="bottom">5.2&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;5</sup></td>
<td align="center" valign="bottom">1</td>
<td align="center" valign="bottom">0.177</td>
<td align="center" valign="bottom">5.3&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;2</sup>/&#x2013;0.004</td>
<td align="center" valign="bottom">1</td>
</tr>
<tr>
<td/>
<td align="left" valign="bottom">% No</td>
<td align="center" valign="bottom">50.674</td>
<td align="center" valign="bottom">64.8/65.0</td>
<td align="center" valign="bottom">16,304</td>
<td align="center" valign="bottom">5.2&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;5</sup></td>
<td align="center" valign="bottom">1</td>
<td align="center" valign="bottom">0.177</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="bottom" colspan="10">Cognitive test scores</td>
</tr>
<tr>
<td align="left" valign="bottom">Matrix puzzles solved</td>
<td align="left" valign="bottom">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="bottom">8.011&#x2009;&#x00B1;&#x2009;0.500</td>
<td align="center" valign="bottom">64.8/64.7</td>
<td align="center" valign="bottom">21,755</td>
<td align="center" valign="bottom">6.8&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="bottom">27</td>
<td align="center" valign="bottom">&#x003C;0.001</td>
<td align="center" valign="bottom">&#x2212;0.08/&#x2013;0.03</td>
<td align="center" valign="bottom">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="bottom">Tower rearranging correct attempts</td>
<td align="left" valign="bottom">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="bottom">9.920&#x2009;&#x00B1;&#x2009;2.123</td>
<td align="center" valign="bottom">64.8/64.7</td>
<td align="center" valign="bottom">21,587</td>
<td align="center" valign="bottom">5.0&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="bottom">17</td>
<td align="center" valign="bottom">&#x003C;0.001</td>
<td align="center" valign="bottom">&#x2212;0.04/&#x2013;0.02</td>
<td align="center" valign="bottom">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="bottom">Prospective memory</td>
<td align="left" valign="bottom">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="bottom">1.067&#x2009;&#x00B1;&#x2009;0.397</td>
<td align="center" valign="bottom">64.3/64.3</td>
<td align="center" valign="bottom">30,300</td>
<td align="center" valign="bottom">&#x2212;1.7&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;6</sup></td>
<td align="center" valign="bottom">0</td>
<td align="center" valign="bottom">0.312</td>
<td align="center" valign="bottom">&#x2212;0.05/&#x2013;0.003</td>
<td align="center" valign="bottom">1</td>
</tr>
<tr>
<td align="left" valign="bottom">Fluid intelligence</td>
<td align="left" valign="bottom">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="bottom">6.631&#x2009;&#x00B1;&#x2009;0.397</td>
<td align="center" valign="bottom">64.3/64.2</td>
<td align="center" valign="bottom">29,786</td>
<td align="center" valign="bottom">7.3&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="bottom">23</td>
<td align="center" valign="bottom">&#x003C;0.001</td>
<td align="center" valign="bottom">&#x2212;0.07/&#x2013;0.02</td>
<td align="center" valign="bottom">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="bottom">Digits remembered</td>
<td align="left" valign="bottom">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="bottom">6.675&#x2009;&#x00B1;&#x2009;1.540</td>
<td align="center" valign="top">64.9/64.8</td>
<td align="center" valign="top">23,070</td>
<td align="center" valign="top">1.6&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">&#x2212;0.06/&#x2013;0.02</td>
<td align="center" valign="top">0.002</td>
</tr>
<tr>
<td align="left" valign="top">Mean number of incorrect pair matches across trials</td>
<td align="left" valign="top">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="top">2.214&#x2009;&#x00B1;&#x2009;1.279</td>
<td align="center" valign="top">63.9/63.8</td>
<td align="center" valign="top">20,770</td>
<td align="center" valign="top">2.9&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="top">3</td>
<td align="center" valign="top">0.014</td>
<td align="center" valign="top">&#x2212;0.05/0.01</td>
<td align="center" valign="top">0.375</td>
</tr>
<tr>
<td align="left" valign="top" colspan="10">Life satisfaction<sup>6</sup></td>
</tr>
<tr>
<td align="left" valign="top">Job satisfaction</td>
<td align="left" valign="top">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="top">4.511&#x2009;&#x00B1;&#x2009;0.863</td>
<td align="center" valign="top">62.7/61.6</td>
<td align="center" valign="top">18,399</td>
<td align="center" valign="top">&#x2212;5.5&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;6</sup></td>
<td align="center" valign="top">1</td>
<td align="center" valign="top">0.494</td>
<td align="center" valign="top">0.02/0.003</td>
<td align="center" valign="top">1</td>
</tr>
<tr>
<td align="left" valign="top">Financial satisfaction</td>
<td align="left" valign="top">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="top">4.714&#x2009;&#x00B1;&#x2009;0.828</td>
<td align="center" valign="top">64.4/64.5</td>
<td align="center" valign="top">31,909</td>
<td align="center" valign="top">2.6&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">&#x2212;0.10/0.003</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">Health satisfaction</td>
<td align="left" valign="top">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="top">4.470&#x2009;&#x00B1;&#x2009;0.766</td>
<td align="center" valign="top">64.5/64.5</td>
<td align="center" valign="top">31,911</td>
<td align="center" valign="top">0.001</td>
<td align="center" valign="top">52</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">&#x2212;0.26/0.003</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">Overall health rating</td>
<td align="left" valign="top">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="top">3.030&#x2009;&#x00B1;&#x2009;0.630</td>
<td align="center" valign="top">64.5/64.5</td>
<td align="center" valign="top">31,934</td>
<td align="center" valign="top">0.001</td>
<td align="center" valign="top">66</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">&#x2212;0.36/&#x2013;0.04</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">Family relation satisfaction</td>
<td align="left" valign="top">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="top">4.814&#x2009;&#x00B1;&#x2009;0.846</td>
<td align="center" valign="top">64.4/64.4</td>
<td align="center" valign="top">31,737</td>
<td align="center" valign="top">2.7&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="top">17</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">&#x2212;0.10/0.003</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">Friend relationship satisfaction</td>
<td align="left" valign="top">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="top">4.784&#x2009;&#x00B1;&#x2009;0.846</td>
<td align="center" valign="top">64.4/64.4</td>
<td align="center" valign="top">31,640</td>
<td align="center" valign="top">2.0&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;6</sup></td>
<td align="center" valign="top">0</td>
<td align="center" valign="top">0.485</td>
<td align="center" valign="top">&#x2212;0.02/0.003</td>
<td align="center" valign="top">1</td>
</tr>
<tr>
<td align="left" valign="top">Happiness</td>
<td align="left" valign="top">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="top">4.542&#x2009;&#x00B1;&#x2009;0.686</td>
<td align="center" valign="top">64.5/64.5</td>
<td align="center" valign="top">31,884</td>
<td align="center" valign="top">1.2&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="top">3</td>
<td align="center" valign="top">0.011</td>
<td align="center" valign="top">&#x2212;0.07/&#x2013;0.008</td>
<td align="center" valign="top">0.275</td>
</tr>
<tr>
<td align="left" valign="top" colspan="10">Health and lifestyle factors</td>
</tr>
<tr>
<td align="left" valign="top">BMI</td>
<td align="left" valign="top">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="top">26.319&#x2009;&#x00B1;&#x2009;4.269</td>
<td align="center" valign="top">64.4/64.4</td>
<td align="center" valign="top">31,052</td>
<td align="center" valign="top">5.9&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="top">41</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.04/0.03</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">Pulse pressure</td>
<td align="left" valign="top">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="top">60.027&#x2009;&#x00B1;&#x2009;14.540</td>
<td align="center" valign="top">64.3/64.3</td>
<td align="center" valign="top">28,184</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">66</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.02/0.05</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">WHR</td>
<td align="left" valign="top">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="top">0.872 &#x2009;&#x00B1;&#x2009;0.088</td>
<td align="center" valign="top">64.4/64.4</td>
<td align="center" valign="top">31,138</td>
<td align="center" valign="top">0.004</td>
<td align="center" valign="top">129</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">4.86/0.07</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">Smoking</td>
<td align="left" valign="top">% Yes</td>
<td align="center" valign="top">2.629</td>
<td align="center" valign="top">63.0/61.4</td>
<td align="center" valign="top">838</td>
<td align="center" valign="top">7.5&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;5</sup></td>
<td align="center" valign="top">4</td>
<td align="center" valign="top">0.005</td>
<td align="center" valign="top">0.34/0.01</td>
<td align="center" valign="top">0.15</td>
</tr>
<tr>
<td/>
<td align="left" valign="top">% No</td>
<td align="center" valign="top">97.374</td>
<td align="center" valign="top">64.5/64.5</td>
<td align="center" valign="top">31,033</td>
<td align="center" valign="top">7.5&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;5</sup></td>
<td align="center" valign="top">4</td>
<td align="center" valign="top">0.005</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Diabetes</td>
<td align="left" valign="top">% Yes</td>
<td align="center" valign="top">1.688</td>
<td align="center" valign="top">66.6/66.1</td>
<td align="center" valign="top">543</td>
<td align="center" valign="top">5.1&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="top">22</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.99/0.02</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td/>
<td align="left" valign="top">% No</td>
<td align="center" valign="top">98.312</td>
<td align="center" valign="top">64.4/64.4</td>
<td align="center" valign="top">31,631</td>
<td align="center" valign="top">5.1&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="top">22</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Hypertension</td>
<td align="left" valign="top">% Yes</td>
<td align="center" valign="top">19.680</td>
<td align="center" valign="top">66.7/66.9</td>
<td align="center" valign="top">6,332</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">151</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.86/0.06</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td/>
<td align="left" valign="top">% No</td>
<td align="center" valign="top">80.320</td>
<td align="center" valign="top">63.9/63.9</td>
<td align="center" valign="top">25,842</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">151</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">High cholesterol</td>
<td align="left" valign="top">% Yes</td>
<td align="center" valign="top">12.202</td>
<td align="center" valign="top">66.9/68.0</td>
<td align="center" valign="top">3,926</td>
<td align="center" valign="top">&#x2212;7.4&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;5</sup></td>
<td align="center" valign="top">18</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.26/0.01</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td/>
<td align="left" valign="top">% No</td>
<td align="center" valign="top">83.798</td>
<td align="center" valign="top">64.1/64</td>
<td align="center" valign="top">28,248</td>
<td align="center" valign="top">&#x2212;7.4&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;5</sup></td>
<td align="center" valign="top">18</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Vascular diagnosis</td>
<td align="left" valign="top">% Yes</td>
<td align="center" valign="top">22.726</td>
<td align="center" valign="top">66.7/67.1</td>
<td align="center" valign="top">7,312</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">136</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.78/0.06</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td/>
<td align="left" valign="top">% No</td>
<td align="center" valign="top">87.274</td>
<td align="center" valign="top">63.8/63.7</td>
<td align="center" valign="top">24,862</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">136</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Birth weight (kg)</td>
<td align="left" valign="top">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="top">3.358&#x2009;&#x00B1;&#x2009;0.619</td>
<td align="center" valign="top">63.7/63.3</td>
<td align="center" valign="top">19,409</td>
<td align="center" valign="top">3.0&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="top">10</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">&#x2212;0.18/&#x2013;0.02</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
<tr>
<td align="left" valign="top">Daily coffee intake (cups)</td>
<td align="left" valign="top">Mean&#x2009;&#x00B1;&#x2009;SD</td>
<td align="center" valign="top">2.065&#x2009;&#x00B1;&#x2009;1.815</td>
<td align="center" valign="top">64.5/64.5</td>
<td align="center" valign="top">31,973</td>
<td align="center" valign="top">3.0&#x2009;&#x00D7;&#x2009;10<sup>&#x2212;4</sup></td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">&#x003C;0.001</td>
<td align="center" valign="top">0.06/0.02</td>
<td align="center" valign="top">&#x003C;0.001</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Linear models were used to observe each of the bio-psycho-social variables of interest in a model of [brain age&#x2009;~&#x2009;age&#x2009;+&#x2009;sex&#x2009;+&#x2009;age&#x002A;sex&#x2009;+&#x2009;bio-psycho-social variable] with scanner site as a random factor. The model was then compared to a baseline model of [brain age&#x2009;~&#x2009;age&#x2009;+&#x2009;sex&#x2009;+&#x2009;age&#x002A;sex] with scanner site as a random factor, and hence, <italic>R</italic><sup>2</sup> values refer to variance uniquely contributed by the single bio-psycho-social variable when added to the baseline model, referring to the marginal <italic>R</italic><sup>2</sup>. For sex and age, fixed effects, and site, the random effect are being presented from the baseline model. <sup>1</sup>These values differ because of missing data in the associated bio-psycho-social factors and will be influenced by the model&#x2019;s age bias. <sup>2</sup>Sample sizes differ due to missing data in the bio-psycho-social variables. <sup>3</sup>&#x03B2;<sub>raw</sub>/&#x03B2;<sub>std</sub> are the raw and standardized <italic>&#x03B2;</italic> values of the bio-psycho-social variables of interest. <sup>4</sup>p<sub>pred</sub> refers to the Bonferroni-corrected (multiplied by the number of bi-variate tests&#x2009;=&#x2009;25) <italic>p</italic>-values of the predictors/bio-psycho-social variables&#x2019; &#x03B2;, <italic>p</italic><sub>diff</sub> refers to the differences between baseline model and the respective model including the bio-psycho-social variable of interest using &#x03C7;<sup>2</sup> test. <sup>5</sup>Likert-type scales were applied for self-rating scales ranging from 1 &#x201C;extremely unhappy&#x201D; to 6 &#x201C;extremely happy&#x201D; with the exception of overall health ranging from 1 &#x201C;poor&#x201D; to 4 &#x201C;excellent.&#x201D;</p>
</table-wrap-foot>
</table-wrap>
<p>Generally, 95% confidence intervals around coefficients&#x2019; <italic>&#x03B2;</italic>-values were overlapping across models indicating no significant differences in <italic>&#x03B2;</italic>-values across diffusion approaches. As a control, we ran the same model without WHR as predictor, due to its high correlation with BMI, rendering BMI as significant predictor across diffusion approaches&#x2019; brain ages except the mean model (<italic>&#x03B2;</italic>s&#x2009;&#x003E;&#x2009;0.01, <italic>p</italic>s&#x2009;&#x003C;&#x2009;0.004), also showing now clearer evidence for higher brain age when smoking (<italic>p</italic>s&#x2009;&#x003C;&#x2009;0.05), with other predictors unchanged (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S11</xref>). Furthermore, leaving out hypertension, being a substrate of blood pressure, did not lead to changes in the model (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S12</xref>). For both models, variance explained is slightly reduced compared to the models including the respective variables, making the reduced models significantly different (<italic>p</italic>s&#x2009;&#x003C;&#x2009;0.001) from the full health models (<xref rid="SM1" ref-type="supplementary-material">Supplementary Tables S8, S9</xref>).</p>
</sec>
<sec id="sec13">
<label>3.1.3.</label>
<title>Life satisfaction factors&#x2019; associations with brain age</title>
<p>When modeling brain age from life satisfaction (see <xref rid="fig6" ref-type="fig">Figure 6</xref> for the predictors), self-rated health was a significant predictor of all brain age estimates except for DKI brain age (<italic>ps</italic>&#x2009;&#x003C;&#x2009;0.05) and health satisfaction for all brain age estimates except the mean model&#x2019;s brain age (<italic>ps</italic>&#x2009;&#x003C;&#x2009;0.02). Only the 95% confidence intervals of <italic>&#x03B2;-</italic>values for age do not overlap across models (with the mean model having the largest <italic>&#x03B2;</italic> and full model the smallest <italic>&#x03B2;-</italic>value for age). All other 95% confidence intervals around coefficients&#x2019; <italic>&#x03B2;-</italic>values overlap across models indicating no significant differences in <italic>&#x03B2;-</italic>values across diffusion approaches.</p>
<p>Perceived health is moderately correlated with health satisfaction and was left out in a control model resulting in a slightly stronger effect of health satisfaction and significantly worse performing model (<italic>ps</italic>&#x2009;&#x003C;&#x2009;0.001; <xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S12</xref> and <xref rid="SM1" ref-type="supplementary-material">Supplementary Tables S8, S9</xref>). Differently, when leaving out happiness as being correlated with several variables the model remains unaffected (<italic>ps</italic>&#x2009;&#x003E;&#x2009;0.23; <xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S13</xref> and <xref rid="SM1" ref-type="supplementary-material">Supplementary Tables S8, S9</xref>).</p>
</sec>
<sec id="sec14">
<label>3.1.4.</label>
<title>Cognitive factors&#x2019; associations with brain age</title>
<p>The only cognitive factor explaining brain age across all models was symbol digit substitution (<italic>ps</italic>&#x2009;&#x003C;&#x2009;0.001; <xref rid="fig7" ref-type="fig">Figure 7</xref>). Matrix puzzles solved was only a significant predictor for the full multimodal brain age (<italic>p</italic>&#x2009;=&#x2009;0.014), and sex only for DTI and WMTI (<italic>ps</italic>&#x2009;&#x003C;&#x2009;0.02). Confidence intervals around coefficients&#x2019; <italic>&#x03B2;-</italic>values are overlapping across models indicating no significant differences in <italic>&#x03B2;-</italic>values across diffusion approaches. Fluid intelligence and matrix puzzles are highly correlated and hence, matrix puzzles were left out in a quality control model, not significantly affecting the structure of most models (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S14</xref> and <xref rid="SM1" ref-type="supplementary-material">Supplementary Tables S8, S9</xref>).</p>
</sec>
<sec id="sec15">
<label>3.1.5.</label>
<title>Follow-up: quality control and bivariate relationships of multimodal brain age and bio-psycho-social factors</title>
<p>Due to the strong variability in sex <italic>&#x03B2;-</italic>values across models (<xref rid="fig2" ref-type="fig">Figures 2</xref>, <xref rid="fig4" ref-type="fig">4</xref>&#x2013;<xref rid="fig6" ref-type="fig">6</xref>), we also ran the described analyses separately for males and females showing some differences in model performance. For example, bio-psycho-social models explained a differential of between 1 and 4% of conditional variance for males (<xref rid="SM1" ref-type="supplementary-material">Supplementary Table S10</xref>) and differences in contributions of the different models&#x2019; predictors, predictors&#x2019; <italic>&#x03B2;-</italic>values being generally higher for males (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S2</xref>). Overall, quality checks show small levels of multicollinearity, and that each predictor contributes individual to the models (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figures S2&#x2013;S10</xref> and <xref rid="SM1" ref-type="supplementary-material">Supplementary Tables S8, S9</xref>), supporting assumptions about the robustness of the utilized models, as well as that simply adding all variables together saturates the model leading to lower model performance than at baseline across brain ages based on different diffusion approaches with a differential in marginal <italic>R</italic><sup>2</sup>&#x2009;=&#x2009;3.38%.</p>
<p>Finally, for a better understanding of bivariate relationships, <xref rid="tab2" ref-type="table">Table 2</xref> gives an overview of brain age calculated from combined single and multi-shell diffusion data in relation to the observed bio-psycho-social factors. Strongest standardized associations when adding single factors to a model explaining brain age from age were found for WHR (<italic>&#x03B2;<sub>std</sub></italic>&#x2009;=&#x2009;0.07, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001), PP (<italic>&#x03B2;<sub>std</sub></italic>&#x2009;=&#x2009;05, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001), and overall health rating (<italic>&#x03B2;<sub>std</sub></italic>&#x2009;=&#x2009;&#x2212;0.04, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001), and health satisfaction (<italic>&#x03B2;<sub>std</sub></italic>&#x2009;=&#x2009;&#x2212;0.03, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001). Strongest brain age group differences were found for sex (<italic>&#x03B2;<sub>std</sub></italic>&#x2009;=&#x2009;&#x2212;0.09, <italic>p</italic>&#x2009;=&#x2009;0.001), diabetes (<italic>&#x03B2;<sub>std</sub></italic>&#x2009;=&#x2009;0.02, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001), and hypertension (<italic>&#x03B2;<sub>std</sub></italic>&#x2009;=&#x2009;0.06, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001).</p>
</sec>
</sec>
</sec>
<sec id="sec16" sec-type="discussions">
<label>4.</label>
<title>Discussion</title>
<p>We assessed the influence of various bio-psycho-social variables on brain age estimated from different diffusion approaches (and their combinations). As predicted, linear mixed effects models showed that bio-psycho-social variables uniquely explain a small proportion of brain age variability consistently across models, and estimates overlap for most predictors. Health and lifestyle factors were most indicative of brain age. However, differences in brain age variance explained between bio-psycho-social models and diffusion approaches were small. Significant predictors of brain age were job satisfaction, health satisfaction, WHR (and to a lesser extent BMI when excluding WHR as a predictor), diabetes, hypertension, any vascular diagnosis, daily coffee consumption, smoking, birth weight, matrix puzzles, and symbol digit substitution performance. Our findings indicate that brain age estimates derived from different diffusion approaches relate similarly to the examined bio-psycho-social factors. This is an important finding as it reveals that different WM characteristics share common aging associations, which are detailed by bio-psycho-social factor associations. The presented diffusion approaches are based on different theoretical assumptions for deriving a set of WM features. For example, DTI and DKI metrics are usually quite sensitive to a broad range of WM changes due to their integrative nature of the scalar metrics (<xref ref-type="bibr" rid="ref01">Basser et al., 1994</xref>; <xref ref-type="bibr" rid="ref52">Jensen et al., 2005</xref>), i.e., DTI&#x2019;s FA or DKI&#x2019;s MK allow one to detect and localize the WM changes but not to explain their origins. In turn, dMRI approaches such as SMTmc or BRIA offer several metrics potentially allowing us to bind WM architecture with their predictive power (<xref ref-type="bibr" rid="ref54">Kaden et al., 2016a</xref>,<xref ref-type="bibr" rid="ref55">b</xref>; <xref ref-type="bibr" rid="ref90">Reisert et al., 2017</xref>). For example, the intra-axonal water fraction appearing in both models might correlate with axonal density and axon diameter (<xref ref-type="bibr" rid="ref50">Jelescu et al., 2020</xref>). Consequently, the metric provides information about WM maturation associated with aging leading to similar associations with age, aging and aging-related variables as DTI/DKI models. This encourages the usage of both conventional and advanced diffusion approaches when examining the relationship of bio-psycho-social factors and WM. Particularly, the application of dMRI approaches with more accurate assumptions around biophysical processes such as a ratio between intra-and extra-axonal diffusivities, permeability and other features offers various opportunities to investigate aging and associated diseases.</p>
<sec id="sec17">
<label>4.1.</label>
<title>Explaining brain age from bio-psycho-social factors</title>
<p>Recent research has made a strong case for the conjunction effects of various bio-psycho-social factors in explaining general health (<xref ref-type="bibr" rid="ref65">Lehman et al., 2017</xref>). Applied to brain age, for example, cardiometabolic effects have been shown to influence brain age (<xref ref-type="bibr" rid="ref6">Beck et al., 2022a</xref>,<xref ref-type="bibr" rid="ref8">b</xref>). However, assessments of how much of the variance explained in brain age above and beyond age, sex, age-by-sex interaction, and scanner site have not been described in the literature. We find close-to-zero added brain age variance explained by models including single bio-psycho-social variables (<xref rid="tab2" ref-type="table">Table 2</xref>). Principal components of the health and lifestyle, life satisfaction, socio-demographics, and cognitive ability variables also added only small levels of brain age variance explained to the baseline model. A comparably larger proportion of brain age variance (<italic>R</italic><sup>2</sup>&#x2009;&#x003C;&#x2009;4%) is uniquely explained by health and lifestyle, life satisfaction, socio-demographics, and cognitive ability variables underlying the principal components (<xref rid="fig2" ref-type="fig">Figure 2</xref> and <xref rid="SM1" ref-type="supplementary-material">Supplementary Table S7</xref>). These results suggest to include the different bio-psycho-social variables as predictors in order to explain brain age and the full covariance structure rather than using components which reduces the covariance matrix.</p>
<p>Health and lifestyle factors explained most brain age variance when added to the baseline model, followed by life satisfaction, and sociodemographic factors. Adding cognitive scores to the baseline model decreased brain age variance explained by the model (<xref rid="fig2" ref-type="fig">Figure 2</xref>). This suggests that biological and psychological factors are more influential than demographic factors. In turn, the observed bio-psycho-social factors are not independent of each other. Thus, we assume that bio-psycho-social factors contribute to explainations of brain age conjunctively. Additionally, we revealed that the added variance explained was small across models. A potential reason for small added R<sup>2</sup> values might lay in multiple confounder effects and heterogeneity in effects across covariate levels (<xref rid="tab2" ref-type="table">Table 2</xref> fallacy, <xref ref-type="bibr" rid="ref112">Westreich and Greenland, 2013</xref>). Importantly, the added brain age variance explained is not just an effect of adding predictors randomly to the model, which rather decreases the variance explained, as shown when adding all bio-psycho-social variables to the model. Hence, it seems more sensible to employ models incorporating several compared to single domain-specific variables to explain brain age. However, our results also indicate that a large part of the variance in brain age cannot be explained by our proposed bio-psycho-social models. Whether this unexplained variance is due to actual biologically founded individual differences, or the characteristics of brain age, for example, how the metric is being estimated (<xref ref-type="bibr" rid="ref24">de Lange et al., 2022</xref>), remains unclear. BAG might also be rather static and indicated by constants such as genetic architecture and birth weight (<xref ref-type="bibr" rid="ref108">Vidal-Pineiro et al., 2021</xref>). This would explain the smaller influence of more variable bio-psycho-social variables. Strong deviations from the norm, for example, due to atrophy will also have a strong influence on brain age (<xref ref-type="bibr" rid="ref58">Kaufmann et al., 2019</xref>). Hence, for diseases impacting brain structure, brain age can be a useful indicator of health status (<xref ref-type="bibr" rid="ref58">Kaufmann et al., 2019</xref>). Potentially, the health and lifestyle factors which are most likely to impact brain structure are therefore also more predictive of brain age than other bio-psycho-social variables (<xref rid="fig4" ref-type="fig">Figures 4</xref>&#x2013;<xref rid="fig7" ref-type="fig">7</xref>). While our models failed to explain larger proportions of the variance of brain age, there are various interesting phenotype associations within these models which will be discussed in the following.</p>
<sec id="sec18">
<label>4.1.1.</label>
<title>The importance of age, sex, and ethnicity</title>
<p>Usually, age, sex, and at times, scanner site, are used as covariates for brain age-phenotype associations as they are expected to influence various phenotypes (<xref ref-type="bibr" rid="ref53">Jirsaraie et al., 2022</xref>). As brain age reflects chronological age, age also explains most of the brain age variance (<xref rid="fig4" ref-type="fig">Figures 4</xref>&#x2013;<xref rid="fig7" ref-type="fig">7</xref>). We also find that the effects of sex and the sex-age interaction were highly variable across diffusion models predicting brain age with sex and the sex-age interaction being mostly non-significant predictors across diffusion models (<xref rid="fig4" ref-type="fig">Figures 4</xref>&#x2013;<xref rid="fig7" ref-type="fig">7</xref>). Nevertheless, brain age does significantly differ between sexes (<xref ref-type="bibr" rid="ref95">Sanford et al., 2022</xref>; <xref ref-type="bibr" rid="ref103">Subramaniapillai et al., 2022</xref>), and we cannot exclude sex difference in WM microstructure. These relationships might also lead to differences in WM brain ages between sexes. Furthermore, models were more predictive of bio-psycho-social factors in males than females (<xref rid="SM1" ref-type="supplementary-material">Supplementary Table S2</xref> and <xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S2</xref>). Where the influence of sex changes based on the model construction, while potentially also influencing the model (<xref rid="fig4" ref-type="fig">Figures 4</xref>&#x2013;<xref rid="fig7" ref-type="fig">7</xref> and <xref rid="SM1" ref-type="supplementary-material">Supplementary Figures S5&#x2013;S8</xref>). Some of the observed sex differences might be based on anatomical features, such as higher intracranial volume in males and different sex-specific aging (<xref ref-type="bibr" rid="ref31">Eikenes et al., 2022</xref>). Brain age was differentially sensitive to ethnicity dependent on the approach it was calculated on (<xref rid="fig4" ref-type="fig">Figures 4</xref>&#x2013;<xref rid="fig7" ref-type="fig">7</xref>), with these differences being influenced by sex (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S2</xref>). A previous study showed that being a UK immigrant might influence brain age estimates (<xref ref-type="bibr" rid="ref66">Leonardsen et al., 2022</xref>). Potentially, genetic contributions to brain age both estimated from T1-weighted (<xref ref-type="bibr" rid="ref81">Ning et al., 2020</xref>; <xref ref-type="bibr" rid="ref108">Vidal-Pineiro et al., 2021</xref>) and dMRI data (<xref ref-type="bibr" rid="ref94">Salih et al., 2021</xref>) also have a connection with the mentioned brain age differences by sex and ethnicity. However, the causal structure of sex and ethnicity differences in brain age estimates requires further investigation.</p>
<p>Previous research has shown the effects of sex on metrics derived from conventional and advanced diffusion approaches, such as BRIA, DKI, DTI, NODDI, RSI, SMT, SMT mc, and WMTI (<xref ref-type="bibr" rid="ref7">Beck et al., 2021</xref>; <xref ref-type="bibr" rid="ref31">Eikenes et al., 2022</xref>). While a systematic assessment of sex-related effects on diffusion metrics from both conventional and advanced dMRI approaches from voxel-to-whole-brain averages over the lifespan is yet to be established, different studies presented sex-related developmental trajectories in the structural connectome in children (<xref ref-type="bibr" rid="ref49">Ingalhalikar et al., 2014</xref>), and sex related WM changes during aging (<xref ref-type="bibr" rid="ref9001">Hsu et al., 2008</xref>). Furthermore, sex differences in aging reflected in WM microstructure can be expected due to menopause and cascading biological processes, affecting both brain and body systems in various ways (<xref ref-type="bibr" rid="ref5">Barth and de Lange, 2020</xref>; <xref ref-type="bibr" rid="ref79">Mosconi et al., 2021</xref>; <xref ref-type="bibr" rid="ref69">Lohner et al., 2022</xref>). Hence, developmental trajectories differing between males and females can be expected which makes sex-separated analyses useful to providing important additional information (e.g., as in <xref ref-type="bibr" rid="ref103">Subramaniapillai et al., 2022</xref>). To which extend this applies to ethnicity requires further research. Hence, further research is required to delineate the underlying causal structure of sex and ethnicity to explain their highly variable associations with brain age.</p>
</sec>
<sec id="sec19">
<label>4.1.2.</label>
<title>Health and lifestyle factors</title>
<p>Interestingly, while the health and lifestyle factors models explained only a small proportion of the brain age variance, most of its predictors were significant. Furthermore, these predictors are generally only weakly correlated (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S5</xref>), but when added in conjunction explaining more variability in brain age than on their own (compare <xref rid="tab2" ref-type="table">Table 2</xref> and <xref rid="fig5" ref-type="fig">Figure 5</xref>). To a certain degree, this is not surprising, due to dependencies between these predictors. For example, WHR, being the strongest predictor of brain age (see <xref rid="fig5" ref-type="fig">Figure 5</xref>), shows a clear relationship with pulse pressure (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S5</xref>). For the extreme cases, this is expressed in a well-established relationship between obesity and hypertension (<xref ref-type="bibr" rid="ref62">Kotsis et al., 2010</xref>) or any vascular diagnosis (<xref ref-type="bibr" rid="ref71">Mathew et al., 2008</xref>). This is reflected in brain age, where minimum and maximum values show that there is an expected difference of up to 4&#x2009;years in brain age between those with lowest compared to highest WHR, or a 2.4-years brain age difference between mean and maximum WHR. Interestingly, blood pressure is expected to increase with age, and higher blood pressure is positively associated with BAG (<xref ref-type="bibr" rid="ref18">Cherbuin et al., 2021</xref>). However, these effects were not exclusively driven by hypertension but across the spectrum of measured blood pressure values (<xref ref-type="bibr" rid="ref18">Cherbuin et al., 2021</xref>). This was supported by our findings showing both an effect of pulse pressure and hypertension on brain age. These effects are not surprising, as hypertension has been suggested as one of the most important risk factors for various cerebrovascular complications such as cerebral small vessel disease and resulting cognitive impairments (<xref ref-type="bibr" rid="ref75">Meissner, 2016</xref>; <xref ref-type="bibr" rid="ref39">Forte et al., 2019</xref>).</p>
<p>Another aspect of high WHR and BMI is obesity increasing diabetes risk (<xref ref-type="bibr" rid="ref56">Kahn et al., 2006</xref>). While the evidence for the direction of the effect of diabetes is mixed (<xref ref-type="bibr" rid="ref40">Franke et al., 2013</xref>; <xref ref-type="bibr" rid="ref21">Cole et al., 2018</xref>; <xref ref-type="bibr" rid="ref102">Sone et al., 2022</xref>), we find participants with diabetes to show higher brain age than those without diabetes (<xref rid="tab1" ref-type="table">Table 1</xref> and <xref rid="fig5" ref-type="fig">Figure 5</xref>). Several complications within the central nervous system have been associated with diabetes, including morphological, electrophysiological, and cognitive changes, often in the hippocampus (<xref ref-type="bibr" rid="ref114">Wrighten et al., 2009</xref>), just as WM lesions and altered metabolite ratios (<xref ref-type="bibr" rid="ref106">van der Harten et al., 2006</xref>; <xref ref-type="bibr" rid="ref11">Biessels and Reijmer, 2014</xref>), supporting the idea of higher brain age among those with diabetes. But also generally, the increase in risk of cardiovascular disease by WHR is mediated by BMI, systolic blood pressure, diabetes, lipids, and smoking (<xref ref-type="bibr" rid="ref42">Gill et al., 2021</xref>). In relation to the brain, higher WHR has been generally associated with lower gray matter volume (<xref ref-type="bibr" rid="ref45">Hamer and Batty, 2019</xref>; <xref ref-type="bibr" rid="ref44">Gurholt et al., 2021</xref>), and higher WM brain age (<xref ref-type="bibr" rid="ref6">Beck et al., 2022a</xref>,<xref ref-type="bibr" rid="ref8">b</xref>; <xref ref-type="bibr" rid="ref103">Subramaniapillai et al., 2022</xref>). Hence, to which extent high WHR accelerates brain aging requires further investigation, which might be particularly informative when observed in combination with other health and lifestyle variables (<xref ref-type="bibr" rid="ref45">Hamer and Batty, 2019</xref>) and sex (<xref ref-type="bibr" rid="ref103">Subramaniapillai et al., 2022</xref>).</p>
<p>Negative health consequences of smoking (<xref ref-type="bibr" rid="ref35">Erhardt, 2009</xref>) are reflected in smoker&#x2019;s cortex being thinner (<xref ref-type="bibr" rid="ref44">Gurholt et al., 2021</xref>), and smokers&#x2019; brains being 1.5&#x2009;years older on average than non-smokers&#x2019; brains (<xref rid="tab2" ref-type="table">Table 2</xref>). Smoking is a known risk factor for cardiovascular health significantly increasing its mortality and inducing various negative downstream effects on health (<xref ref-type="bibr" rid="ref35">Erhardt, 2009</xref>), with negative impacts on the reward system (<xref ref-type="bibr" rid="ref64">Le Foll et al., 2022</xref>), repeatedly shown in rats (e.g., <xref ref-type="bibr" rid="ref43">Gozzi et al., 2006</xref>; <xref ref-type="bibr" rid="ref60">Kenny and Markou, 2006</xref>; <xref ref-type="bibr" rid="ref14">Cao et al., 2013</xref>). It can hence be expected that both general and brain health are influenced by smoking, making it an important control variable in assessing brain age.</p>
<p>The findings for coffee on the other hand are mixed, suggesting coffee consumption to be generally positive for cardiovascular health and decreasing the risk of Parkinson&#x2019;s disease, stroke, and Alzheimer&#x2019;s (<xref ref-type="bibr" rid="ref80">Nehlig, 2016</xref>). The consumption of higher doses of caffeine is, however, associated with smaller brain volume and an increased risk of dementia (<xref ref-type="bibr" rid="ref88">Pham et al., 2022</xref>). Practically, the direct effect of the number of daily cups of coffee consumed is small in our study. It would require on average 10 cups of coffee daily for an increase of 0.6&#x2009;years of brain age, fitting the observations made by <xref ref-type="bibr" rid="ref88">Pham et al. (2022)</xref>. It also remains unclear whether the effect of coffee consumption on brain age is rather mediated by third variables such as poor sleep and mental health downstream effects which show direct negative effects on health (<xref ref-type="bibr" rid="ref30">Distelberg et al., 2017</xref>). Additionally, there are vulnerable groups in which caffeine can cause adverse effects such as people with hypertension (<xref ref-type="bibr" rid="ref46">Higdon and Frei, 2006</xref>). We conclude that health and lifestyle factors function in synergy in influencing brain age.</p>
</sec>
<sec id="sec20">
<label>4.1.3.</label>
<title>Health perception and satisfaction, and job satisfaction</title>
<p>We find significant assignations of self-rated health, friendship/relationship satisfaction, and job satisfaction with brain age. Self-assessments and self-rated scores are some of the fastest and easiest assessments. Yet, their reliability is under constant scrutiny, particularly when assessing health outcomes (e.g., <xref ref-type="bibr" rid="ref23">Crossley and Kennedy, 2002</xref>; <xref ref-type="bibr" rid="ref92">Reychav et al., 2019</xref>). In our study, self-rated overall health was a significant predictor of brain age, suggesting that asking participants about their health can be a useful preliminary assessment of different aspects of health. Self-rated health was additionally moderately correlated with health perception (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S4</xref>), indicating both variables measure, to a certain degree, the same underlying phenomenon. However, self-rated health brain age associations were stronger and more variable across diffusion approaches&#x2019; brain ages (<xref rid="fig6" ref-type="fig">Figure 6</xref>). These associations support the idea of brain age is not only indicative of brain health, but also overall health (<xref ref-type="bibr" rid="ref58">Kaufmann et al., 2019</xref>).</p>
<p>Lastly, there was a trend of individuals&#x2019; job satisfaction being associated with brain age (<xref rid="fig6" ref-type="fig">Figure 6</xref>). Conceptually, this would not be surprising as associations between wealth and health (e.g., <xref ref-type="bibr" rid="ref1">Adler and Ostrove, 1999</xref>) as well as job (e.g., <xref ref-type="bibr" rid="ref36">Faragher et al., 2013</xref>) and financial satisfaction and health (e.g., <xref ref-type="bibr" rid="ref48">Hsieh, 2001</xref>) have already been investigated. However, in the case of our study, higher job satisfaction was also indicative of higher brain age. Potential reasons are speculative but might reflect the tendency of people engaged in their jobs to work long hours which has previously been related with various negative mental and physical health outcomes (<xref ref-type="bibr" rid="ref68">Lim et al., 2010</xref>; <xref ref-type="bibr" rid="ref4">Bannai and Tamakoshi, 2014</xref>). Nevertheless, the underlying mechanisms of the associations between these single items in their relationship with brain age require further investigation.</p>
</sec>
<sec id="sec21">
<label>4.1.4.</label>
<title>Cognitive scores</title>
<p>Cognitive scores&#x2019; impact on brain age might be small in the current study, yet still important in general (<xref rid="tab2" ref-type="table">Table 2</xref>). This might be due to the selection of the observed cognitive test scores, with many more possible tests to be included which are potentially more indicative of brain age, such as IQ (<xref ref-type="bibr" rid="ref32">Elliott et al., 2021</xref>). Another opportunity lies in assessing associations of cognitive performance and brain age in clinical groups. For example, brain age has been found to be explanatory of symbol digit modality test scores in multiple sclerosis suggesting brain age as a biomarker for cognitive dysfunction (<xref ref-type="bibr" rid="ref29">Denissen et al., 2022</xref>). Similar to such findings, we find a similarly sized effect of symbol digit substitution test scores in our healthy aging data (<xref rid="fig7" ref-type="fig">Figure 7</xref>). Associations of cognitive performance and brain age are also sensitive to sex. For example, the number of solved matrix puzzles showing an effect when analyzing males and females data together seemed to be a predictor of brain age only in females when analyzing females from males data separately (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figure S2</xref>). The quality of these differences requires further investigation.</p>
</sec>
</sec>
<sec id="sec22">
<label>4.2.</label>
<title>Variability in brain age-phenotype relationships</title>
<p>Imaging phenotypes derived from diffusion UKB data contribute to a small additional proportion of the variability in the obtained results. However, the presented comparison of <italic>R</italic><sup>2</sup> differences (<xref rid="fig3" ref-type="fig">Figure 3</xref>) underestimates the effects of single bio-psycho-social factors, and has to be interpreted with care, with cognitive function, life satisfaction, and health and lifestyle factors significantly adding to the baseline model (<xref rid="fig3" ref-type="fig">Figure 3</xref>). Yet, the used brain age estimation model might also introduce variability in brain age phenotype associations. Problematically, model evaluation metrics such as <italic>R</italic><sup>2</sup>, MAE, or RMSE depend additionally on cohort-and study-specific data characteristics making brain age model comparison across the literature not straightforward (<xref ref-type="bibr" rid="ref24">de Lange et al., 2022</xref>). Additionally, there are differences between models trained on voxel-level compared to region-averaged data. Deep learning models using voxel-level data reach age predictions errors as low as MAE&#x2009;=&#x2009;2.14&#x2009;years in midlife to late adulthood (<xref ref-type="bibr" rid="ref87">Peng et al., 2021</xref>) or MAE&#x2009;=&#x2009;3.90&#x2009;years across the lifespan (<xref ref-type="bibr" rid="ref66">Leonardsen et al., 2022</xref>) while explaining large proportions of variance in age (<italic>R</italic><sup>2</sup>&#x2009;&#x003E;&#x2009;0.90), whereas models trained on regional and global average measures predict age usually with larger error, MAE&#x2009;&#x003E;&#x2009;3.6&#x2009;years, and/or lower variances explained <italic>R</italic><sup>2</sup>&#x2009;&#x003C;&#x2009;0.75 (<xref ref-type="bibr" rid="ref25">de Lange et al., 2020a</xref>,<xref ref-type="bibr" rid="ref26">b</xref>; <xref ref-type="bibr" rid="ref7">Beck et al., 2021</xref>, <xref ref-type="bibr" rid="ref8">2022b</xref>; <xref ref-type="bibr" rid="ref93">Rokicki et al., 2021</xref>; <xref ref-type="bibr" rid="ref61">Korbmacher et al., 2022</xref>). However, <xref ref-type="bibr" rid="ref82">Niu et al. (2019)</xref> showed that with different shallow and deep machine learning algorithms (ridge regression, support vector regressor, Gaussian process regressor, deep neural networks) high prediction accuracies (<italic>R</italic><sup>2</sup>&#x2009;&#x003E;&#x2009;0.75, MAE&#x2009;&#x003C;&#x2009;1.43) could be reached when using multimodal regional average data using a young sample with narrow age range. Nonetheless, the same database (UKB) is able to provide similar patterns of detected associations between brain age and used phenotypes by applying different samples, modalities, and methods to calculate brain age. For example, diabetes diagnosis, diagnosed vascular problems or place of birth (see Figure 4 in <xref ref-type="bibr" rid="ref66">Leonardsen et al., 2022</xref>), hip circumference, trail-making tasks, and matrix pattern completion were significantly associated with brain age (see Table 5 in <xref ref-type="bibr" rid="ref19">Cole, 2020</xref>). However, it remains unclear whether the differences in the findings are due to analysis degree of freedom, sample characteristics, or actual bio-physical manifestations. For instance, the underlying data used for brain age estimation can be based on different modalities, e.g., dMRI metrics, as in the present work, versus T1-weighted images in <xref ref-type="bibr" rid="ref19">Cole (2020)</xref> and <xref ref-type="bibr" rid="ref66">Leonardsen et al. (2022)</xref>. We can assume that WM-derived brain age associations with bio-psycho-social factors are relatively stable across diffusion approaches (see <xref rid="fig2" ref-type="fig">Figures 2</xref>, <xref rid="fig4" ref-type="fig">4</xref>&#x2013;<xref rid="fig6" ref-type="fig">6</xref>). We used four mixed models grouping (a) demographics, (b) cognitive, (c) life satisfaction, and (d) health and lifestyle variables to predict brain age. In contrast, <xref ref-type="bibr" rid="ref19">Cole (2020)</xref> predicted bias-adjusted brain age from simple linear models with sex, age, and age<sup>2</sup> as covariates, and <xref ref-type="bibr" rid="ref66">Leonardsen et al. (2022)</xref> observed similar associations for uncorrected brain age predicted from the respective phenotype and age and sex as covariates. However, bio-psycho-social variables are likely to interact in a complex pattern when explaining variables such as brain age. If we add only single bio-psycho-social variables, such as waist-to-hip-ratio, to a baseline model and then compare the two models, the differences in variance explained are small. Adding blocks of meaningfully related variables leads to stronger increases in Brian age variance explained (compare <xref rid="tab2" ref-type="table">Table 2</xref> and <xref rid="SM1" ref-type="supplementary-material">Supplementary Table S7</xref>). In summary, there are various sources of variability in brain age prediction. Phenotype associations could encompass not only the underlying data but also researchers&#x2019; degree of freedom such as data selection, processing, and analysis.</p>
</sec>
</sec>
<sec id="sec23">
<label>5.</label>
<title>Conclusion and future directions</title>
<p>Bio-psycho-social factors contribute similarly to explaining WM brain age across conventional and advanced diffusion MRI approaches when arranged as cognitive scores, life satisfaction, health and lifestyle factors, but not socio-demographics. Focusing on single predictors, health and lifestyle factors, WHR, birth weight, diabetes, hypertension, and related diagnoses, as well as smoking status and coffee consumption, were more predictive of brain age than cognitive and life satisfaction measures. Apart from health satisfaction and self-ratings, we found relationships of life satisfaction variables with brain age to be non-significant. Of the cognitive scores, only the digit substitution task performance was a significant predictor, which might be relevant in samples from midlife to old age. Furthermore, the influence of sex and ethnicity is largely variable suggesting the usage of sensible control mechanisms, such as separate analyses or exclusions in case of strongly imbalanced samples. We recommend future study designs taking observable interactions between the different bio-psycho-social effects into account. A potentially helpful guiding principle in the search for bio-psycho-social variables affecting brain age could be to focus on measures which are directly or indirectly related to or reflect pathology.</p>
</sec>
<sec id="sec24" sec-type="data-availability">
<title>Data availability statement</title>
<p>The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found in the article/<xref rid="SM1" ref-type="supplementary-material">Supplementary material</xref>.</p>
</sec>
<sec id="sec25">
<title>Ethics statement</title>
<p>The studies involving human participants were reviewed and approved by National Health Service National Research Ethics Service (ref 11/NW/0382). The patients/participants provided their written informed consent to participate in this study.</p>
</sec>
<sec id="sec26">
<title>Author contributions</title>
<p>MK: study design, software, formal analysis, visualizations, project administration, writing &#x2013;original draft, and writing &#x2013; review and editing. TG: writing &#x2013; review and editing. A-ML and DM: software, writing &#x2013; review and editing. AL: funding acquisition. EE: writing &#x2013; review and editing, and funding acquisition. DB: writing &#x2013; review and editing. OA: writing &#x2013; review and editing, and funding acquisition. LW: writing &#x2013; review and editing, and funding acquisition. IM: supervision, study design, data pre-processing and quality control, writing &#x2013; review and editing, and funding acquisition. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="sec27" sec-type="funding-information">
<title>Funding</title>
<p>This research was funded by the Research Council of Norway (#223273); the South-Eastern Norway Regional Health Authority (#2022080); and the European Union&#x2019;s Horizon2020 Research and Innovation Programme (CoMorMent project; Grant #847776).</p>
</sec>
<sec id="conf1" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>OA has received a speaker&#x2019;s honorarium from Lundbeck and is a consultant to Coretechs.ai.</p>
<p>The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="sec100" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
<ack>
<p>This study has been conducted using UKB data under Application 27412. UKB has received ethics approval from the National Health Service National Research Ethics Service (ref 11/NW/0382). The work was performed on the Service for Sensitive Data (TSD) platform, owned by the University of Oslo, operated and developed by the TSD service group at the University of Oslo IT-Department (USIT). Computations were performed using resources provided by UNINETT Sigma2 &#x2013; the National Infrastructure for High Performance Computing and Data Storage in Norway. Finally, we want to thank all UKB participants and facilitators who made this research possible.</p>
</ack>
<sec id="sec29" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/fpsyg.2023.1117732/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/fpsyg.2023.1117732/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table_1.DOCX" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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