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<journal-id journal-id-type="publisher-id">Front. Neuroimaging</journal-id>
<journal-title>Frontiers in Neuroimaging</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Neuroimaging</abbrev-journal-title>
<issn pub-type="epub">2813-1193</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fnimg.2024.1390409</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Neuroimaging</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Adolescent brain maturation associated with environmental factors: a multivariate analysis</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Ray</surname> <given-names>Bhaskar</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<contrib contrib-type="author">
<name><surname>Jensen</surname> <given-names>Dawn</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
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<name><surname>Suresh</surname> <given-names>Pranav</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<contrib contrib-type="author">
<name><surname>Thapaliya</surname> <given-names>Bishal</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<name><surname>Sapkota</surname> <given-names>Ram</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<name><surname>Farahdel</surname> <given-names>Britny</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<contrib contrib-type="author">
<name><surname>Fu</surname> <given-names>Zening</given-names></name>
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<contrib contrib-type="author">
<name><surname>Chen</surname> <given-names>Jiayu</given-names></name>
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<name><surname>Calhoun</surname> <given-names>Vince D.</given-names></name>
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<contrib contrib-type="author" corresp="yes">
<name><surname>Liu</surname> <given-names>Jingyu</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>Tri-Institutional Center for Translational Research in Neuroimaging and Data Science (TReNDS) Georgia State University, Georgia Institute of Technology, Emory University</institution>, <addr-line>Atlanta, GA</addr-line>, <country>United States</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Computer Science, Georgia State University</institution>, <addr-line>Atlanta, GA</addr-line>, <country>United States</country></aff>
<aff id="aff3"><sup>3</sup><institution>Neuroscience Institute, Georgia State University</institution>, <addr-line>Atlanta, GA</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Michael Harms, Washington University in St. Louis, United States</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Rachel Minke Brouwer, VU Amsterdam, Netherlands</p>
<p>Niousha Dehestani, Deakin University, Australia</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Jingyu Liu <email>jliu75&#x00040;gsu.edu</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>19</day>
<month>11</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>3</volume>
<elocation-id>1390409</elocation-id>
<history>
<date date-type="received">
<day>23</day>
<month>02</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>29</day>
<month>10</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2024 Ray, Jensen, Suresh, Thapaliya, Sapkota, Farahdel, Fu, Chen, Calhoun and Liu.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Ray, Jensen, Suresh, Thapaliya, Sapkota, Farahdel, Fu, Chen, Calhoun and Liu</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>Human adolescence marks a crucial phase of extensive brain development, highly susceptible to environmental influences. Employing brain age estimation to assess individual brain aging, we categorized individuals (<italic>N</italic> = 7,435, aged 9&#x02013;10 years old) from the Adolescent Brain and Cognitive Development (ABCD) cohort into groups exhibiting either accelerated or delayed brain maturation, where the accelerated group also displayed increased cognitive performance compared to their delayed counterparts. A 4-way multi-set canonical correlation analysis integrating three modalities of brain metrics (gray matter density, brain morphological measures, and functional network connectivity) with nine environmental factors unveiled a significant 4-way canonical correlation between linked patterns of neural features, air pollution, area crime, and population density. Correlations among the three brain modalities were notably strong (ranging from 0.65 to 0.77), linking reduced gray matter density in the middle temporal gyrus and precuneus to decreased volumes in the left medial orbitofrontal cortex paired with increased cortical thickness in the right supramarginal and bilateral occipital regions, as well as increased functional connectivity in occipital sub-regions. These specific brain characteristics were significantly more pronounced in the accelerated brain aging group compared to the delayed group. Additionally, these brain regions exhibited significant associations with air pollution, area crime, and population density, where lower air pollution and higher area crime and population density were correlated to brain variations more prominently in the accelerated brain aging group.</p></abstract>
<kwd-group>
<kwd>adolescence</kwd>
<kwd>brain development</kwd>
<kwd>multivariate</kwd>
<kwd>multi-set canonical correlation analysis</kwd>
<kwd>structural MRI</kwd>
<kwd>functional MRI</kwd>
<kwd>environmental factors</kwd>
</kwd-group>
<contract-num rid="cn001">R01DA049238</contract-num>
<contract-num rid="cn002">2112455</contract-num>
<contract-sponsor id="cn001">National Institutes of Health<named-content content-type="fundref-id">10.13039/100000002</named-content></contract-sponsor>
<contract-sponsor id="cn002">National Science Foundation<named-content content-type="fundref-id">10.13039/100000001</named-content></contract-sponsor>
<counts>
<fig-count count="2"/>
<table-count count="4"/>
<equation-count count="3"/>
<ref-count count="94"/>
<page-count count="13"/>
<word-count count="11085"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Population Neuroimaging</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1 Introduction</title>
<p>During adolescence, the brain experiences rapid development, second only to infancy (Arain et al., <xref ref-type="bibr" rid="B4">2013</xref>). Studies of brain structure using MRI have shown that gray matter exhibits a pre-adolescence increase, followed by a steady decrease into adulthood (Blakemore and Choudhury, <xref ref-type="bibr" rid="B12">2006</xref>). In contrast, white matter density increases roughly linearly until young adulthood (Paus et al., <xref ref-type="bibr" rid="B60">1999</xref>). This general pattern varies across brain regions in terms of rate and time (Giedd et al., <xref ref-type="bibr" rid="B31">1999</xref>; Sowell et al., <xref ref-type="bibr" rid="B79">2001</xref>; Gogtay et al., <xref ref-type="bibr" rid="B32">2004</xref>), and is accompanied by synaptic pruning (Huttenlocher and Dabholkar, <xref ref-type="bibr" rid="B43">1997</xref>), and prolonged increases in myelination (Miller et al., <xref ref-type="bibr" rid="B56">2012</xref>). Functional brain imaging studies also demonstrated that brain responses to stimuli such as sensory inputs, affection, rewards, or demands, change during adolescence (Casey et al., <xref ref-type="bibr" rid="B17">2005</xref>; Laruelle et al., <xref ref-type="bibr" rid="B51">2002</xref>; Kwon et al., <xref ref-type="bibr" rid="B50">2002</xref>; Rubia et al., <xref ref-type="bibr" rid="B72">2000</xref>). Such multidimensional changes in the brain also provide the biological foundation for the maturation of adolescent cognitive ability, which is why cognitive performance is often thought to reflect brain maturation (Dosenbach et al., <xref ref-type="bibr" rid="B23">2010</xref>).</p>
<p>This period of rapid brain maturation has been shown to also be a period of vulnerability to environmental factors (Green et al., <xref ref-type="bibr" rid="B34">2010</xref>). The complex relationship between the brain, behavior, and environmental factors has been well-established (Modabbernia et al., <xref ref-type="bibr" rid="B58">2021</xref>; Xu et al., <xref ref-type="bibr" rid="B91">2023</xref>). Much of the latest research has used the Adolescent Brain and Cognitive Development Study (ABCD) to investigate the effects of environment on brain development. Consistently, researchers using this large adolescent cohort (<italic>N</italic> = 11 k), have found that environmental measures such as neighborhood disadvantage, school environment, and socioeconomic disadvantage are associated with increased functional connectivity (Rakesh et al., <xref ref-type="bibr" rid="B65">2021</xref>, <xref ref-type="bibr" rid="B67">2023</xref>) and reductions in global cortical thickness (Rakesh et al., <xref ref-type="bibr" rid="B66">2022</xref>; Hackman et al., <xref ref-type="bibr" rid="B36">2021</xref>; Taylor et al., <xref ref-type="bibr" rid="B82">2020</xref>). A longitudinal study of the same cohort, looking at these relationships at baseline and year two, found similar associations between changes in brain connectivity and negative environmental factors, suggesting that accelerated maturation of the brain may be an adaptive response to adversity (Brieant et al., <xref ref-type="bibr" rid="B13">2021</xref>).</p>
<p>Beyond the ABCD cohort, other studies have established the relationship between multiple environmental factors, on a variety of scales, with brain maturation, health, and cognitive development. The factors include air pollution (Cipriani et al., <xref ref-type="bibr" rid="B19">2018</xref>), urbanization (Lederbogen et al., <xref ref-type="bibr" rid="B52">2013</xref>; Sampson et al., <xref ref-type="bibr" rid="B74">2020</xref>), negative and unstable family relationships (Bush et al., <xref ref-type="bibr" rid="B14">2020</xref>), and stressful life events (Gapp et al., <xref ref-type="bibr" rid="B30">2014</xref>; Herzberg and Gunnar, <xref ref-type="bibr" rid="B41">2020</xref>). Specifically, on a macro scale, higher air pollution has been associated with a thinner cortex in the precuneus and rostral middle frontal regions, with partially mediating effects on impaired inhibitory control (Guxens et al., <xref ref-type="bibr" rid="B35">2018</xref>), as well as lower functional integration and segregation in key brain networks in school-age children (Pujol et al., <xref ref-type="bibr" rid="B63">2016</xref>). Population density, closely related to urbanicity, has been consistently associated with affective symptoms, including elevated depression (Sampson et al., <xref ref-type="bibr" rid="B74">2020</xref>). Urbanicity is positively correlated with cerebellar volume and negatively correlated with medial prefrontal cortex volume in young people (Xu et al., <xref ref-type="bibr" rid="B92">2022</xref>). Recent research shows that people living in areas with higher ratios of green space exhibit stronger parietal and insular activation during stress, whereas exposure to more air pollution leads to weaker activation in the same brain areas (Dimitrov-Discher et al., <xref ref-type="bibr" rid="B22">2022</xref>). Meso-scale environmental factors like deprived neighborhoods, often characterized by area deprivation, area crime rates, or limited access to school education, are known to have negative effects on young people. These include increased chronic stress (Jorgensen et al., <xref ref-type="bibr" rid="B46">2023</xref>), increased risk of childhood mental health problems, (Baranyi et al., <xref ref-type="bibr" rid="B7">2021</xref>; Sui et al., <xref ref-type="bibr" rid="B81">2022</xref>; Alderton et al., <xref ref-type="bibr" rid="B2">2019</xref>), anxiety, depression (Barnett et al., <xref ref-type="bibr" rid="B8">2018</xref>; Thapaliya et al., <xref ref-type="bibr" rid="B85">2024</xref>), and increased suicidal tendencies (Cairns et al., <xref ref-type="bibr" rid="B15">2017</xref>). Moreover, previous studies on micro-scale environmental factors have established strong links, such as smaller gray matter volume in focal regions resulting from socioeconomic status deprivation (Jeong et al., <xref ref-type="bibr" rid="B45">2023</xref>) and neighborhood disadvantage being associated with lower cortical thickness in brain regions like the cuneus and lateral occipital cortex (Rakesh et al., <xref ref-type="bibr" rid="B66">2022</xref>). A good school environment was also associated with decreased connectivity between the cingulo-opercular network and the default mode network (Rakesh et al., <xref ref-type="bibr" rid="B67">2023</xref>). At the same time, various types of early life adversity were linked to noticeable effects on the brain, including extended activation of prefrontal&#x02013;hippocampal&#x02013;amygdala circuits (Smith and Pollak, <xref ref-type="bibr" rid="B76">2020</xref>; Herzberg and Gunnar, <xref ref-type="bibr" rid="B41">2020</xref>).</p>
<p>Despite the depth of our understanding regarding these relationships between environmental factors and specific brain regional alterations, there has been very little research on how they might be related to brain maturation in a holistic way. To estimate the relative brain maturation, neuronal features derived from MRI have been used to create an objective, biological measure, referred to as brain age estimation (Franke and Gaser, <xref ref-type="bibr" rid="B27">2019</xref>; Franke et al., <xref ref-type="bibr" rid="B28">2010</xref>). The gap between estimated brain age and chronological age, referred to as delta age, is commonly used to indicate an individual&#x00027;s brain aging process. Both accelerated and delayed brain aging have been associated with various symptoms of mental illness as well as health conditions (Baecker et al., <xref ref-type="bibr" rid="B6">2021</xref>; Ramduny et al., <xref ref-type="bibr" rid="B68">2022</xref>; Dunlop et al., <xref ref-type="bibr" rid="B25">2021</xref>; Casanova et al., <xref ref-type="bibr" rid="B16">2022</xref>; Phillips et al., <xref ref-type="bibr" rid="B62">2023</xref>). Hereafter, we will refer to the positive/negative gaps between estimated brain age and chronological age as accelerated/delayed brain aging (Peng et al., <xref ref-type="bibr" rid="B61">2021</xref>), indicating the individual differences in brain aging/maturation when compared to the estimated norm of the same age subjects. The validity of brain age estimation has been verified in various cohorts (Baecker et al., <xref ref-type="bibr" rid="B6">2021</xref>) where the brain age gap has been shown to be a reliable biomarker for abnormal brain development, resilient aging process, or risk of mental illness (Franke and Gaser, <xref ref-type="bibr" rid="B27">2019</xref>; Kaufmann et al., <xref ref-type="bibr" rid="B47">2017</xref>; Konrad et al., <xref ref-type="bibr" rid="B49">2013</xref>). In particular, children and adolescent studies, including ours (Ray et al., <xref ref-type="bibr" rid="B71">2021</xref>), have demonstrated that estimated brain age not only reflects age-related changes but is also indicative of cognitive maturation (Ray et al., <xref ref-type="bibr" rid="B71">2021</xref>; Basodi et al., <xref ref-type="bibr" rid="B9">2021</xref>, <xref ref-type="bibr" rid="B10">2022</xref>; Liem et al., <xref ref-type="bibr" rid="B54">2017</xref>; Dosenbach et al., <xref ref-type="bibr" rid="B23">2010</xref>). Accelerated brain age (brain age older than chronological age) is significantly associated with faster information processing speeds and higher verbal comprehension compared to the delayed brain age group (Ray et al., <xref ref-type="bibr" rid="B69">2023</xref>).</p>
<p>Brain age estimation models are effective at selecting brain features that contribute to the accurate estimation of brain age, but they cannot provide coherent information regarding whole brain development patterns. For instance, interrelated bilateral gray matter density in the frontal cortex may both show similar growth patterns, but only one might be selected for the estimation of brain age (Ray et al., <xref ref-type="bibr" rid="B71">2021</xref>). In our previous work, we built a reliable brain age estimation model that identified adolescents in the ABCD Study who were experiencing accelerated or delayed brain maturation (Ray et al., <xref ref-type="bibr" rid="B69">2023</xref>). To fully understand the whole brain patterns related to accelerated vs. delayed brain maturation, as well as investigate the influence of environmental factors, in this study we have applied a multi-set canonical correlation analysis (mCCA) (Li et al., <xref ref-type="bibr" rid="B53">2009</xref>; Zhuang et al., <xref ref-type="bibr" rid="B94">2020</xref>) to overcome the limitations associated with brain age estimation models. Our study is focused on: (i) identifying whole-brain patterns linked to accelerated or delayed brain aging, (ii) exploring the impact of various environmental factors on these brain patterns, (iii) and providing an understanding of how environmental factors may contribute to brain maturation. We seek to reveal, at least partially, the complex interplay between the brain and multi-scale environmental factors, providing further understanding of how brain maturation may be influenced by environments.</p></sec>
<sec id="s2">
<title>2 Data and method</title>
<sec>
<title>2.1 Participants</title>
<p>We analyzed the data collected from the ABCD study <ext-link ext-link-type="uri" xlink:href="https://abcdstudy.org">https://abcdstudy.org</ext-link> (Hagler et al., <xref ref-type="bibr" rid="B37">2019</xref>), which is a 10-year-long study on participants initially recruited at the age of nine to ten from 21 sites across the United States. Along with multisession structural and functional brain MRI scans, the ABCD study also includes key demographic information, including gender, race, socio-economic background, cognitive development, and a mental and physical health assessment of the subjects. Written informed consent from the parents and assent from the child were obtained for each participant, with approval from the Institutional Review Board (IRB). The ABCD dataset is provided by the National Institute of Mental Health Data Archive (NDA) <ext-link ext-link-type="uri" xlink:href="https://nda.nih.gov/">https://nda.nih.gov/</ext-link>. The NDA shares the ABCD data as an open-source dataset, collected from a wide range of research projects across various scientific domains, to enable collaborative science and discovery. In this study, we used data from the ABCD baseline, which contains 11,875 participants, to select a subpopulation with accelerated or delayed brain age.</p>
<p>In our prior study, we developed a refined brain age model to robustly and accurately estimate the brain age of ABCD participants within a narrow age range (9&#x02013;10 years) (Ray et al., <xref ref-type="bibr" rid="B70">2024</xref>, <xref ref-type="bibr" rid="B69">2023</xref>). The refined model was constructed with two modules. The first module is the brain age model pre-trained with 1,417 subjects aged 8&#x02013;22 years from the Philadelphia Neurodevelopmental Cohort (PNC) (Satterthwaite et al., <xref ref-type="bibr" rid="B75">2016</xref>), which leveraged the wider age range of PNC data to ensure broader prediction power. After pre-training the first module, the second module was trained by utilizing the ABCD baseline data with a narrow age range (9&#x02013;10 years) to account for unexplained residual variation (the difference between the prediction of the first module and actual age). The refined brain age estimation was finally obtained by subtracting the estimated residuals from the broader predicted age, thereby improving model accuracy. The final refined model showed the best performance on both ABCD baseline and year-two data with a mean absolute error of 0.49 and 0.48 years, respectively. Furthermore, the brain age gap yielded by the refined model demonstrated significant associations with participants&#x00027; information processing speed and verbal comprehension ability on the baseline data. In this study, we have applied the model to ABCD full baseline data to estimate participants&#x00027; brain age. The brain age gaps (estimated brain age&#x02014;chronological age) were computed (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 1</xref>) and were found to roughly follow a normal distribution. We identified 7,435 participants whose brain age gap was 0.41 standard deviation away from the mean after z transformation, partitioned into accelerated brain age group (<italic>z</italic>&#x0003E;0.41:<italic>N</italic> &#x0003D; 3, 755) and delayed brain age group (<italic>z</italic> &#x0003C; &#x02212;0.41:<italic>N</italic> &#x0003D; 3, 680). The threshold of 0.41 was chosen to include roughly the bottom and top third of the cohort. In our analysis, we specifically targeted these two subgroups to identify brain patterns with significant differences between the two groups and linked to environmental factors. We did not use all participants to emphasize the factors contributing most to the variations between accelerated and delayed brain age. In the data quality control steps, we removed samples following the inclusion recommendation of ABCD release version 5 for T1 weighted sMRI and rs-fMRI and removed samples with missing values in the environmental factors. Finally, we have 4,264 samples (Accelerated group: <italic>N</italic> = 2,149, Delayed group: <italic>N</italic> = 2,115) for our analysis. The two groups listed in <xref ref-type="table" rid="T1">Table 1</xref> had no significant differences in age, gender, and race.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Demography table.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Demographics</bold></th>
<th valign="top" align="center"><bold>Accelerated (<italic>N</italic> = 2,149)</bold></th>
<th valign="top" align="center"><bold>Delayed (<italic>N</italic> = 2,115)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Mean age</td>
<td valign="top" align="center">9.94 &#x000B1; 0.63</td>
<td valign="top" align="center">9.93 &#x000B1; 0.63</td>
</tr> <tr>
<td valign="top" align="left">Gender</td>
<td valign="top" align="center">1,158 male/991 female</td>
<td valign="top" align="center">1,012 male/1,103 female</td>
</tr> <tr>
<td valign="top" align="left" rowspan="2">Race</td>
<td valign="top" align="center">1,714 white/412 black</td>
<td valign="top" align="center">1,678 white/334 black</td>
</tr>
<tr>
<td/>
<td valign="top" align="left" colspan="2">92 other/34 missing</td>
</tr> <tr>
<td valign="top" align="left">Mean total composite score</td>
<td valign="top" align="center">87.94 &#x000B1; 8.71</td>
<td valign="top" align="center">86.94 &#x000B1; 8.65</td>
</tr> <tr>
<td valign="top" align="left">Mean fluid composite score</td>
<td valign="top" align="center">93.32 &#x000B1; 0.29</td>
<td valign="top" align="center">92.13 &#x000B1; 10.08</td>
</tr> <tr>
<td valign="top" align="left">Mean crystallized composite score</td>
<td valign="top" align="center">87.48 &#x000B1; 6.79</td>
<td valign="top" align="center">87.02 &#x000B1; 6.84</td>
</tr></tbody>
</table>
</table-wrap>
</sec>
<sec>
<title>2.2 sMRI data preprocessing and feature generation</title>
<p>We extracted three types of brain features: (i) gray matter density of 100 independent components derived from independent component analysis (ICA) (Xu et al., <xref ref-type="bibr" rid="B93">2009</xref>) of gray matter images, (ii) 152 brain morphological features derived from FreeSurfer version v5.3 (Khan et al., <xref ref-type="bibr" rid="B48">2008</xref>), and (iii) 1,378 static functional network connectivity (sFNC) values (Saha et al., <xref ref-type="bibr" rid="B73">2022</xref>) derived from resting state functional MRI.</p>
<p>Gray matter (GM) density maps were generated by preprocessing the T1-weighted sMRI images using the Statistical Parametric Mapping 12 (SPM12) (Ashburner et al., <xref ref-type="bibr" rid="B5">2014</xref>) software toolbox. Six types of tissue maps (gray matter, white matter, CSF, bone, soft tissue, and others) were created in Montreal Neuroimaging Institute (MNI) space after jointly segmenting and spatially normalizing the T1-weighted sMRI images using SPM12 default tissue probability maps. The gray matter maps were then smoothed using a 6 <italic>mm</italic><sup>3</sup> Gaussian kernel. Finally, we applied quality control on the individual gray matter maps and selected those correlated to the group mean gray matter map at correlation &#x02265;0.9. After quality control, the gray matter maps were then masked to only include voxels with a gray matter density value &#x0003E;0.2. We then applied independent component analysis (ICA) (Bell and Sejnowski, <xref ref-type="bibr" rid="B11">1995</xref>; Amari, <xref ref-type="bibr" rid="B3">1998</xref>) to extract 100 brain components. ICA decomposes the gray matter data into a linear combination of maximally independent components, called source-based morphometry (SBM) (Xu et al., <xref ref-type="bibr" rid="B93">2009</xref>). Each component as a brain network identifies a network of voxels with covarying gray matter patterns and often these components resemble those in resting fMRI data (Luo et al., <xref ref-type="bibr" rid="B55">2020</xref>). The ICA loadings reflect how these brain networks are expressed across subjects, which are used as one type of brain feature in this study, referred to as gray matter density of 100 independent components. In addition, the brain morphological measures derived by FreeSurfer version v5.3 (Khan et al., <xref ref-type="bibr" rid="B48">2008</xref>) are provided by the ABCD study (data release version 5). We selected 152 measures as the second type of brain features, which included the estimated total intracranial volume, cortical thickness and cortical volume, and subcortical volume of the human brain based on the Desikan atlas (Desikan et al., <xref ref-type="bibr" rid="B21">2006</xref>).</p>
</sec>
<sec>
<title>2.3 fMRI data preprocessing and functional network connectivity (sFNC) features</title>
<p>We conducted preprocessing on the raw resting-state fMRI data using a combination of the FMRIB Software Library (FSL) v6.0 (Jenkinson et al., <xref ref-type="bibr" rid="B44">2012</xref>; Smith et al., <xref ref-type="bibr" rid="B77">2004</xref>; Woolrich et al., <xref ref-type="bibr" rid="B90">2009</xref>) toolbox and the Statistical Parametric Mapping (SPM) 12 toolbox within the MATLAB 2020b environment. The preprocessing steps involved: (i) correcting for rigid body motion; (ii) addressing distortion; (iii) eliminating dummy scans; (iv) normalizing the data to standard Montreal Neurological Institute space; and (v) applying smoothing with a 6 mm Gaussian kernel. We conducted data quality control on the preprocessed fMRI data using the Neuromark framework (Fu et al., <xref ref-type="bibr" rid="B29">2023</xref>). The FSL MCFLIRT tool was employed to rectify any rigid body motion observed in the subject&#x00027;s head during the fMRI scanning. After correcting head motion, distortion correction in the fMRI images was performed using field map files. These files were obtained by acquiring phase encoding in both the anterior-posterior (AP) and posterior-anterior (PA) directions with the FSL tool topup. The distortion present in the fMRI volume was then addressed by applying the output field map coefficients using the FSL tool applytopup. After distortion correction, 10 initial scans with significant signal changes were discarded to help the tissue gain a steady state of radiofrequency excitation. Then wrapping and smoothening of the fMRI data were done with MNI space 3 &#x000D7; 3 &#x000D7; 3 <italic>mm</italic><sup>3</sup> spatial resolution and a Gaussian kernel with a full width at half maximum (FWHM) of 6 mm. We employed the <italic>Neuromark</italic>_<italic>fMRI</italic>_1.0 (Du et al., <xref ref-type="bibr" rid="B24">2020</xref>) network templates to extract intrinsic connectivity networks (ICNs) and corresponding time courses (TCs) through an entirely automated spatially restricted ICA method. These templates were obtained based on replicated networks estimated from two healthy control datasets, the human connectome project (Van Essen et al., <xref ref-type="bibr" rid="B88">2012</xref>) and the genomics super struct project (Holmes et al., <xref ref-type="bibr" rid="B42">2015</xref>). More details of the Neuromark framework and templates can be found in the GIFT toolbox <ext-link ext-link-type="uri" xlink:href="http://trendscenter.org/software/gift">http://trendscenter.org/software/gift</ext-link> and at <ext-link ext-link-type="uri" xlink:href="http://trendscenter.org/data">http://trendscenter.org/data</ext-link> (Correa et al., <xref ref-type="bibr" rid="B20">2005</xref>). These spatial priors have been established to be highly consistent between pipelines and across various datasets and populations. We obtained 53 intrinsic connectivity networks for each subject by implementing this approach. To address any confounding effects, such as the greater degree of head motion present in pediatric images, we included four additional post-processing steps to regulate the remaining noise in the TCs of ICNs. These steps involved detrending linear, quadratic, and cubic trends, eliminating detected outliers, implementing multiple regression on the head motion parameters, and bandpass filtering. After the post-processing phase, Pearson correlation coefficients between post-processed TCs were calculated to measure the static functional network connectivity (sFNC) among 53 ICNs. The 53 &#x000D7; 53 symmetric sFNC matrix was then flattened, and 1,378 correlation values from off-diagonal elements were extracted. These form the third type of brain features of this study.</p>
</sec>
<sec>
<title>2.4 Environmental factors</title>
<p>In our study, we utilized a total of nine environmental factors spanning macro, meso, and micro scales (Thapaliya et al., <xref ref-type="bibr" rid="B83">2021</xref>, <xref ref-type="bibr" rid="B84">2023</xref>) from the ABCD Cohort, both because of their established relevance in the literature and our own group&#x00027;s previous work (Thapaliya et al., <xref ref-type="bibr" rid="B83">2021</xref>, <xref ref-type="bibr" rid="B85">2024</xref>) with these factors elucidating the complex relationship between the brain and the environment. We are aware that more environmental variables are now available, which are unexplored in our current research and can be utilized in future studies. The factors we included are air pollution, population density, area crime, neighborhood safety, school safety, household income, family conflict, early life stress (ELS), and area deprivation. Each factor was derived by aggregating multiple related variables to construct a comprehensive measure through summation, with variables reversed, if necessary, to maintain consistency in the direction of the effect. A higher value in air pollution, population density, area crime, family conflict, ELS, and area deprivation implies a negative or unfavorable direction. Conversely, higher values in neighborhood safety, school safety, and household income indicate a positive or desirable direction, such as a safe neighborhood and school environment and better socio-economic status. A detailed explanation of the relevant variables of each environmental factor is presented in <xref ref-type="supplementary-material" rid="SM1">Supplementary material</xref>.</p>
</sec>
<sec>
<title>2.5 Cognitive measures</title>
<p>In this study, we utilized three cognitive composite scores from the NIH Toolbox Cognition Battery (Akshoomoff et al., <xref ref-type="bibr" rid="B1">2013</xref>) for our analysis. The three main cognitive summary scores are: (i) crystallized cognition composite score (combination of picture vocabulary and oral reading recognition tests), which reflects crystallized cognition based on past learning experiences. (ii) fluid cognition composite score (includes tests that evaluate fluid abilities like executive function, working memory, attention, and processing speed), which demonstrates the ability for new learning and information processing in unexplored situations. (iii) total cognitive function composite score, which provides a comprehensive measure of general cognitive abilities by combining both the crystallized and fluid cognition composite scores.</p>
</sec>
<sec>
<title>2.6 Statistical analysis</title>
<p>We utilized multi-set canonical correlation analysis to identify the distinct multivariate patterns of different brain feature sets, as well as environmental factors, for the accelerated and delayed subpopulation. Canonical correlation analysis (CCA) is a statistical approach, first proposed by Hotelling (Hardoon et al., <xref ref-type="bibr" rid="B38">2004</xref>) in 1936, which tries to find pairs of linear projections for different views in such a way that the correlation between them is maximized.</p>
<p>If we have two data matrices <inline-formula><mml:math id="M1"><mml:mi>X</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mstyle mathvariant='bold'><mml:mtext>x</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mstyle mathvariant='bold'><mml:mtext>x</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mo>&#x02026;</mml:mo><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mstyle mathvariant='bold'><mml:mtext>x</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x02208;</mml:mo><mml:msup><mml:mrow><mml:mi>&#x0211D;</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M2"><mml:mi>Y</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mstyle mathvariant='bold'><mml:mtext>y</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mstyle mathvariant='bold'><mml:mtext>y</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mo>&#x02026;</mml:mo><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mstyle mathvariant='bold'><mml:mtext>y</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x02208;</mml:mo><mml:msup><mml:mrow><mml:mi>&#x0211D;</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>y</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> where <italic>n</italic> denotes the number of samples and <italic>d</italic><sub><italic>x</italic></sub>, <italic>d</italic><sub><italic>y</italic></sub> indicate feature dimensions for data matrices <italic>X</italic> and <italic>Y</italic>, respectively. CCA will find <italic>m</italic> pairs of linear projections. <inline-formula><mml:math id="M3"><mml:msub><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mstyle mathvariant='bold'><mml:mtext>w</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mtext>x</mml:mtext><mml:mo>,</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mstyle mathvariant='bold'><mml:mtext>w</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mtext>x</mml:mtext><mml:mo>,</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mo>&#x02026;</mml:mo><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mstyle mathvariant='bold'><mml:mtext>w</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x02208;</mml:mo><mml:msup><mml:mrow><mml:mi>&#x0211D;</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M4"><mml:msub><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mi>y</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mstyle mathvariant='bold'><mml:mtext>w</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mtext>y</mml:mtext><mml:mo>,</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mstyle mathvariant='bold'><mml:mtext>w</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mtext>y</mml:mtext><mml:mo>,</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mo>&#x02026;</mml:mo><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mstyle mathvariant='bold'><mml:mtext>w</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x02208;</mml:mo><mml:msup><mml:mrow><mml:mi>&#x0211D;</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>y</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula> represent the canonical weight matrices for two data matrices <italic>X</italic> and <italic>Y</italic>. The correlation between <italic>a</italic><sup>th</sup> pair of canonical projections <inline-formula><mml:math id="M5"><mml:msubsup><mml:mrow><mml:mstyle mathvariant='bold'><mml:mtext>w</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:mi>X</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M6"><mml:msubsup><mml:mrow><mml:mstyle mathvariant='bold'><mml:mtext>w</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:mi>Y</mml:mi></mml:math></inline-formula> are maximized as in <xref ref-type="disp-formula" rid="E1">Equation 1</xref>. <xref ref-type="disp-formula" rid="E1">Equation 1</xref> can be simplified as <xref ref-type="disp-formula" rid="E2">Equation 2</xref>.</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M7"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>&#x003C1;</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msup><mml:mrow><mml:mi>Y</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msubsup><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:mi>X</mml:mi><mml:msup><mml:mrow><mml:mi>Y</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msqrt><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msubsup><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:mi>X</mml:mi><mml:msup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msubsup><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:mi>Y</mml:mi><mml:msup><mml:mrow><mml:mi>Y</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msqrt></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E2"><label>(2)</label><mml:math id="M8"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mtable style="text-align:axis;" equalrows="false" columnlines="none none none none none none none none none" equalcolumns="false" class="array"><mml:mtr><mml:mtd><mml:mstyle displaystyle="true"><mml:munder class="msub"><mml:mrow><mml:mo class="qopname">max</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:munder></mml:mstyle><mml:msubsup><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:mi>X</mml:mi><mml:msup><mml:mrow><mml:mi>Y</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>s</mml:mtext><mml:mo>.</mml:mo><mml:mtext>t</mml:mtext><mml:mo>.</mml:mo><mml:msubsup><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:mi>X</mml:mi><mml:msup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mtext>&#x02003;</mml:mtext><mml:msubsup><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:mi>Y</mml:mi><mml:msup><mml:mrow><mml:mi>Y</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mtext>orthogonality&#x000A0;constraint</mml:mtext></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:msubsup><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:mi>X</mml:mi><mml:msup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mtext>&#x02003;</mml:mtext><mml:msubsup><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:mi>Y</mml:mi><mml:msup><mml:mrow><mml:mi>Y</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msup><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>y</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0</mml:mn><mml:mtext>&#x02003;</mml:mtext><mml:mo>&#x02200;</mml:mo><mml:mi>a</mml:mi><mml:mo>&#x02260;</mml:mo><mml:mi>b</mml:mi><mml:mo>:</mml:mo><mml:mi>a</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi><mml:mo>&#x02208;</mml:mo><mml:mrow><mml:mo>{</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo>&#x02026;</mml:mo><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow><mml:mo>}</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>The mCCA approach basically extends the concept of the general form of CCA in order to find correlated patterns among more than two views. Multi-view CCA aims to maximize the sum of pairwise canonical correlations via optimizing canonical vectors of all views. <italic>c</italic><sub><italic>i</italic></sub> is the regularization parameter to be defined.</p>
<disp-formula id="E3"><label>(3)</label><mml:math id="M9"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mtable style="text-align:axis;" equalrows="false" columnlines="none none none none none none none none none" equalcolumns="false" class="array"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>o</mml:mi><mml:mi>p</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:munder><mml:mrow><mml:mo class="qopname">argmax</mml:mo></mml:mrow><mml:mrow><mml:mi>w</mml:mi></mml:mrow></mml:munder></mml:mstyle><mml:mrow><mml:mo>{</mml:mo><mml:mrow><mml:mstyle displaystyle="true"><mml:munder class="msub"><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:munder></mml:mstyle><mml:mstyle displaystyle="true"><mml:munder class="msub"><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>j</mml:mi><mml:mo>&#x02260;</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:munder></mml:mstyle><mml:msubsup><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:msubsup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>}</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>s</mml:mtext><mml:mo>.</mml:mo><mml:mtext>t</mml:mtext><mml:mo>.</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:msubsup><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:msubsup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msubsup><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mtext>orthogonality&#x000A0;constraint</mml:mtext></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:msubsup><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:msubsup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0</mml:mn><mml:mtext>&#x02003;</mml:mtext><mml:mo>&#x02200;</mml:mo><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mo>&#x02200;</mml:mo><mml:mi>a</mml:mi><mml:mo>&#x02260;</mml:mo><mml:mi>b</mml:mi><mml:mo>:</mml:mo><mml:mi>a</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi><mml:mo>&#x02208;</mml:mo><mml:mrow><mml:mo>{</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo>&#x02026;</mml:mo><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow><mml:mo>}</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>In <xref ref-type="disp-formula" rid="E2">Equations 2</xref>, <xref ref-type="disp-formula" rid="E3">3</xref>, the orthogonality constraint ensures that every pair of canonical variables is orthogonal/uncorrelated with another pair of canonical variables.</p>
<p>To investigate the covariation patterns of the brain and the environment in this subpopulation, we conducted a 4-way mCCA analysis using the environmental factors and three types of brain features. Specifically, mCCA was applied to the subject gray matter loadings of 100 independent components, 152 morphological measures, 1,378 sFNC values, and nine environmental factors. The data were split as follows: 80% for training and 20% for testing, with a stratified 3-fold cross-validation in the training set to select the <italic>c</italic><sub><italic>i</italic></sub> parameter and avoid overfitting issues. We used the CCA-Zoo (Chapman and Wang, <xref ref-type="bibr" rid="B18">2021</xref>) package for our analysis. To be conservative, we selected the number of canonical variable sets based on the smallest dataset. Since the top four principal components explained nearly 90% of the variance in the smallest input data matrix of nine environmental factors, we applied mCCA with four sets of canonical variables in the training data to derive correlated brain and environmental variables. Thus, only those brain patterns potentially associated with environmental factors were extracted. The derived latent variables were directly projected into the testing data to verify their associations. In order to test for significant mean differences between the accelerated and delayed groups, we applied the analysis of variance (ANOVA) method on latent variables. To help further understanding of our findings, we examined the canonical weight and shared variance percentage of each original feature to identify its contribution to the canonical latent variables. Canonical weights are the values in the canonical vectors W in <xref ref-type="disp-formula" rid="E3">Equation 3</xref>. The shared variance percentage is calculated as the square of the correlation between an original observed feature and its corresponding canonical variable (r2).</p>
<p>To test the stability and robustness of the mCCA results, we applied the mCCA analysis 100 times, each time randomly splitting the data into an 80/20 split for training and hold-out test data. The mCCA model was trained on the training data and tested on the hold-out data. We then reported the average canonical weights, the variance explained, and the frequency of a given feature that was among the &#x0201C;Top 5&#x0201D; list across the 100 mCCA models on the hold-out test data. For illustration purposes, related brain areas for the top five (arbitrary selection) features based on the shared variance percentage from the three brain datasets (ICA, FreeSurfer, and sFNC) are plotted using Talairach Daemon software from the GIFT toolbox and the Desikan atlas and displayed in the results section (Rachakonda et al., <xref ref-type="bibr" rid="B64">2007</xref>).</p>
<p>To test the associations with cognition and brain maturation group, we implemented linear mixed-effects regression models using cognitive measures (NIH Toolbox Fluid Cognition Composite Score, Crystallized Cognition Composite Score, and Total Cognition Composite Score) as the dependent variable, with age, gender (Male = 0, Female = 1), and brain maturation group (Accelerated = 3, Delayed = 2) as fixed-effect independent variables. ABCD Family ID nested within ABCD site information was included as random-effect variables. We included each subject&#x00027;s actual age and gender as predictors, along with the developmental group, to control for the known effects of age and gender on cognition during development. Additionally, we conducted linear mixed-effects regression analyses on our 20% test data to examine associations with cognitive measures and brain-related canonical variables, using the cognitive score as the dependent variable and age, gender, and brain-related canonical variables as fixed-effect independent variables, while ABCD Family ID nested within ABCD site information were included as random effect variables.</p></sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<p>In our 4-way mCCA analysis, four sets of canonical variables were extracted during the training, while each set comprised of four canonical latent variables: three latent brain variables and one latent environmental variable. All four canonical variables within each set were significantly correlated (<italic>p</italic>-values that survived FDR correction) during the training phase. The direct projection of derived latent variables into the 20% hold-out testing data revealed that all four sets of canonical latent variables were significantly cross-correlated within each set in the testing data as well (see <xref ref-type="table" rid="T2">Table 2</xref>). Since results from the testing data are more impartial, hereafter we present only those results. The correlations between canonical variables of the brain features were high with r-values ranging from 0.88 to 0.55. In contrast, the correlations of environmental factors with brain features were low, but statistically significant, with <italic>r</italic>-values ranging between 0.37 and 0.09.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Pairwise correlation of four sets of canonical variables (results from the 20% testing data).</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left" rowspan="2"><bold>Pairwise correlation</bold></th>
<th valign="top" align="center" colspan="4"><bold>Canonical variables</bold></th>
</tr>
<tr style="background-color:#919498;color:#ffffff">
<th/>
<th valign="top" align="center"><bold>SET 1 (<italic>r</italic>, <italic>p</italic>)</bold></th>
<th valign="top" align="center"><bold>SET 2 (<italic>r</italic>, <italic>p</italic>)</bold></th>
<th valign="top" align="center"><bold>SET 3 <italic>r</italic>, <italic>p</italic></bold></th>
<th valign="top" align="center"><bold>SET 4 <italic>r</italic>, <italic>p</italic></bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">ICA GM-FreeSurfer</td>
<td valign="top" align="center"><italic>r</italic> = 0.88, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center">r = 0.77, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center">r = 0.84, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center">r = 0.80, <italic>p</italic> &#x0003C; 1e-16</td>
</tr> <tr>
<td valign="top" align="left">ICA GM-sFNC</td>
<td valign="top" align="center"><italic>r</italic> = 0.64, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center"><italic>r</italic> = 0.65, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center"><italic>r</italic> = 0.64, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center"><italic>r</italic> = 0.63, <italic>p</italic> &#x0003C; 1e-16</td>
</tr> <tr>
<td valign="top" align="left">ICA GM-environment</td>
<td valign="top" align="center"><italic>r</italic> = 0.37, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center"><italic>r</italic> = 0.15, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center"><italic>r</italic> = 0.17, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center"><italic>r</italic> = 0.11, <italic>p</italic> = 9e-4</td>
</tr> <tr>
<td valign="top" align="left">FreeSurfer-sFNC</td>
<td valign="top" align="center"><italic>r</italic> = 0.64, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center"><italic>r</italic> = 0.68, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center"><italic>r</italic> = 0.55, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center"><italic>r</italic> = 0.60, <italic>p</italic> &#x0003C; 1e-16</td>
</tr> <tr>
<td valign="top" align="left">FreeSurfer-environment</td>
<td valign="top" align="center"><italic>r</italic> = 0.36, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center"><italic>r</italic> = 0.18, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center"><italic>r</italic> = 0.14, <italic>p</italic> = 1e-4</td>
<td valign="top" align="center"><italic>r</italic> = 0.09, <italic>p</italic> = 1.2e-2</td>
</tr> <tr>
<td valign="top" align="left">sFNC-environment</td>
<td valign="top" align="center"><italic>r</italic> = 0.34, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center"><italic>r</italic> = 0.16, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center"><italic>r</italic> = 0.20, <italic>p</italic> &#x0003C; 1e-16</td>
<td valign="top" align="center"><italic>r</italic> = 0.12, <italic>p</italic> = 4e-4</td>
</tr></tbody>
</table>
</table-wrap>
<p>A detailed report of the brain regions and associated environmental variables is presented in <xref ref-type="supplementary-material" rid="SM1">Supplementary Tables 1</xref>&#x02013;<xref ref-type="supplementary-material" rid="SM1">8</xref>. The 1st derived environmental variable highlights the positive effect of household income (shared variance percentage of 71.95%, canonical weight of 0.16) and the negative effect of area deprivation (shared variance percentage of 68.56%, canonical weight of &#x02212;0.14) (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Table 2</xref>). The 2nd environmental variable highlights air pollution and area crime (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Table 4</xref>). The 3rd environmental variable emphasizes area deprivation (shared variance percentage of 77.11%, canonical weight of 0.12) in contrast to household income (shared variance percentage of 44.15%, canonical weight of &#x02212;0.02) and neighborhood safety (shared variance percentage of 44.95%, canonical weight of &#x02212;0.04) (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Table 6</xref>). The 4th environmental variable highlights relatively small effects of negative household income (shared variance percentage of 64.16%, canonical weight of &#x02212;0.10) and positive area deprivation (shared variance percentage of 49.04%, canonical weight of 0.06) (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Table 8</xref>). All four environmental variables are associated with specific brain features (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Tables 1</xref>&#x02013;<xref ref-type="supplementary-material" rid="SM1">8</xref>).</p>
<p>We further examined whether the derived canonical variables had differences between the accelerated and delayed brain age groups. The 2nd set of canonical variables showed consistently significant differences in the three brain-related canonical latent variables, where the accelerated group had higher values than the delayed group. The environmental canonical latent variable did not show group differences in all four sets. We presented the results of the testing data in <xref ref-type="table" rid="T3">Table 3</xref>. Given our interest is in identifying brain patterns related to brain development, the 2nd set of canonical variables became our focus hereafter. We presented their four-way associations on testing data in <xref ref-type="fig" rid="F1">Figure 1</xref>. The figure displays the pairwise canonical correlation coefficients among the four canonical latent variables, as well as the top three features contributing to each of the canonical variables for illustration purposes. Based on the percentage of shared variance calculated using the testing data, we have identified the top five contributing features for each canonical variable. <xref ref-type="table" rid="T4">Table 4</xref> provides feature names, canonical weights, and shared variance percentages. The resulting brain areas corresponding to these top five features are depicted collectively in <xref ref-type="fig" rid="F2">Figure 2</xref>, with green indicating gray matter ICA components, red representing FreeSurfer morphological features, and blue denoting sFNC.</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Group difference of four sets of canonical variables on the 20% testing data.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Canonical variables</bold></th>
<th valign="top" align="center" colspan="4"><bold>Group differences of canonical variables</bold></th>
</tr>
<tr style="background-color:#919498;color:#ffffff">
<th/>
<th valign="top" align="left"><bold>SET 1 (<italic>F</italic>, <italic>p</italic>)</bold></th>
<th valign="top" align="left"><bold>SET 2 (<italic>F</italic>, <italic>p</italic>)</bold></th>
<th valign="top" align="left"><bold>SET 3 (<italic>F</italic>, <italic>p</italic>)</bold></th>
<th valign="top" align="left"><bold>SET 4 (<italic>F</italic>, <italic>p</italic>)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">ICA GM</td>
<td valign="top" align="left"><italic>F</italic> = 12.67, <italic>p</italic> = 3.92e-4</td>
<td valign="top" align="left"><italic>F</italic> = 17.57, <italic>p</italic> = 3.1e-5</td>
<td valign="top" align="left">Not significant</td>
<td valign="top" align="left">Not significant</td>
</tr> <tr>
<td valign="top" align="left">FreeSurfer</td>
<td valign="top" align="left">Not significant</td>
<td valign="top" align="left"><italic>F</italic> = 22.93, <italic>p</italic> = 2e-6</td>
<td valign="top" align="left"><italic>F</italic> = 10.70, <italic>p</italic> = 11.11e-3</td>
<td valign="top" align="left">Not significant</td>
</tr> <tr>
<td valign="top" align="left">sFNC</td>
<td valign="top" align="left">Not significant</td>
<td valign="top" align="left"><italic>F</italic> = 18.67, <italic>p</italic> = 1.7e-5</td>
<td valign="top" align="left">Not significant</td>
<td valign="top" align="left">Not significant</td>
</tr> <tr>
<td valign="top" align="left">Environment</td>
<td valign="top" align="left">Not significant</td>
<td valign="top" align="left">Not significant</td>
<td valign="top" align="left">Not signifi cant</td>
<td valign="top" align="left">Not significant</td>
</tr></tbody>
</table>
</table-wrap>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>The association among the 2nd set of canonical variables from 20% testing data.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fnimg-03-1390409-g0001.tif"/>
</fig>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>The top five contributing features of the 2nd set of canonical variables, along with their canonical weights and shared variance percentages in the testing data, are presented.</p></caption>
<table frame="box" rules="all">
<thead>
<tr style="background-color:#919498;color:#ffffff">
<th valign="top" align="left"><bold>Canonical variates</bold></th>
<th valign="top" align="left"><bold>Top 5 contributing features</bold></th>
<th valign="top" align="center"><bold>Canonical weights</bold></th>
<th valign="top" align="center"><bold>Shared variance percentages (r2%)</bold></th>
<th valign="top" align="center" colspan="3"><bold>Stability test results (mCCA 100 iterations)</bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:#919498;color:#ffffff">
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="center"><bold>Canonical weights mean (95% CI)</bold></td>
<td valign="top" align="center"><bold>Shared variance percentages mean (95% CI)</bold></td>
<td valign="top" align="center"><bold>Frequency within the top 5 list</bold></td>
</tr> <tr>
<td valign="top" align="left" rowspan="5">ICA GM</td>
<td valign="top" align="center">Sub-gyral 1</td>
<td valign="top" align="center">0.15</td>
<td valign="top" align="center">40.58</td>
<td valign="top" align="center">0.15 (0.126, 0.165)</td>
<td valign="top" align="center">40.47 (39.95, 40.99)</td>
<td valign="top" align="center">100%</td>
</tr>
 <tr>
<td valign="top" align="left">Middle temporal gyrus 1</td>
<td valign="top" align="center">&#x02212;0.06</td>
<td valign="top" align="center">38.15</td>
<td valign="top" align="center">&#x02212;0.05 (&#x02212;0.055, &#x02212;0.038)</td>
<td valign="top" align="center">38.25 (37.69, 38.80)</td>
<td valign="top" align="center">100%</td>
</tr>
 <tr>
<td valign="top" align="left">Precuneus</td>
<td valign="top" align="center">&#x02212;0.01</td>
<td valign="top" align="center">33.26</td>
<td valign="top" align="center">&#x02212;0.01 (&#x02212;0.007, &#x02212;0.005)</td>
<td valign="top" align="center">33.12 (32.54, 33.71)</td>
<td valign="top" align="center">100%</td>
</tr>
 <tr>
<td valign="top" align="left">Middle temporal gyrus 2</td>
<td valign="top" align="center">&#x02212;0.07</td>
<td valign="top" align="center">27.36</td>
<td valign="top" align="center">&#x02212;0.06 (&#x02212;0.068, &#x02212;0.049)</td>
<td valign="top" align="center">26.54 (25.98, 27.11)</td>
<td valign="top" align="center">85%</td>
</tr>
 <tr>
<td valign="top" align="left">Superior temporal gyrus</td>
<td valign="top" align="center">0.03</td>
<td valign="top" align="center">26.69</td>
<td valign="top" align="center">0.03 (0.024, 0.029)</td>
<td valign="top" align="center">25.63 (25.04, 26.23)</td>
<td valign="top" align="center">72%</td>
</tr> <tr>
<td valign="top" align="left" rowspan="5">FreeSurfer</td>
<td valign="top" align="center">Left medial Orbitofrontal Volume</td>
<td valign="top" align="center">&#x02212;0.10</td>
<td valign="top" align="center">32.33</td>
<td valign="top" align="center">&#x02212;0.08 (&#x02212;0.096, &#x02212;0.067)</td>
<td valign="top" align="center">32.76 (32.21, 33.31)</td>
<td valign="top" align="center">100%</td>
</tr>
 <tr>
<td valign="top" align="left">Right supramarginal thickness</td>
<td valign="top" align="center">0.05</td>
<td valign="top" align="center">24.30</td>
<td valign="top" align="center">0.06 (0.051, 0.075)</td>
<td valign="top" align="center">23.89 (23.33, 24.46)</td>
<td valign="top" align="center">98%</td>
</tr>
 <tr>
<td valign="top" align="left">Left lateral occipital thickness</td>
<td valign="top" align="center">0.09</td>
<td valign="top" align="center">23.64</td>
<td valign="top" align="center">0.08 (0.066, 0.088)</td>
<td valign="top" align="center">23.70 (23.23, 24.16)</td>
<td valign="top" align="center">100%</td>
</tr>
 <tr>
<td valign="top" align="left">Right lateral occipital thickness</td>
<td valign="top" align="center">0.07</td>
<td valign="top" align="center">22.73</td>
<td valign="top" align="center">0.06 (0.047, 0.067)</td>
<td valign="top" align="center">21.42 (20.87, 21.97)</td>
<td valign="top" align="center">86%</td>
</tr>
 <tr>
<td valign="top" align="left">Right lateral orbitofrontal volume</td>
<td valign="top" align="center">&#x02212;0.08</td>
<td valign="top" align="center">20.78</td>
<td valign="top" align="center">&#x02212;0.07 (&#x02212;0.076, &#x02212;0.059)</td>
<td valign="top" align="center">20.56 (20.03, 21.10)</td>
<td valign="top" align="center">96%</td>
</tr> <tr>
<td valign="top" align="left" rowspan="5">sFNC</td>
<td valign="top" align="center">Lingual gyrus, precuneus</td>
<td valign="top" align="center">0.02</td>
<td valign="top" align="center">15.23</td>
<td valign="top" align="center">0.02 (0.015, 0.021)</td>
<td valign="top" align="center">14.91 (14.53, 15.29)</td>
<td valign="top" align="center">100%</td>
</tr>
 <tr>
<td valign="top" align="left">Middle temporal gyrus, right Inferior frontal gyrus</td>
<td valign="top" align="center">&#x02212;0.02</td>
<td valign="top" align="center">13.10</td>
<td valign="top" align="center">&#x02212;0.02 (&#x02212;0.019, &#x02212;0.013)</td>
<td valign="top" align="center">12.86 (12.51, 13.21)</td>
<td valign="top" align="center">98%</td>
</tr>
 <tr>
<td valign="top" align="left">Cuneus, hippocampus</td>
<td valign="top" align="center">0.02</td>
<td valign="top" align="center">12.84</td>
<td valign="top" align="center">0.02 (0.012, 0.019)</td>
<td valign="top" align="center">13.02 (12.64, 13.41)</td>
<td valign="top" align="center">93%</td>
</tr>
 <tr>
<td valign="top" align="left">Cuneus, precuneus</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">12.25</td>
<td valign="top" align="center">0.005 (0.004, 0.006)</td>
<td valign="top" align="center">11.95 (11.62,12.27)</td>
<td valign="top" align="center">87%</td>
</tr>
 <tr>
<td valign="top" align="left">Lingual gyrus, hippocampus</td>
<td valign="top" align="center">0.009</td>
<td valign="top" align="center">12.25</td>
<td valign="top" align="center">0.01 (0.007, 0.009)</td>
<td valign="top" align="center">12.39 (12.02, 12.76)</td>
<td valign="top" align="center">82%</td>
</tr> <tr>
<td valign="top" align="left" rowspan="5">Environmental factors</td>
<td valign="top" align="center">Air pollution</td>
<td valign="top" align="center">&#x02212;0.26</td>
<td valign="top" align="center">84.59</td>
<td valign="top" align="center">&#x02212;0.25 (&#x02212;0.280, &#x02212;0.216)</td>
<td valign="top" align="center">85.04 (84.41, 85.66)</td>
<td valign="top" align="center">100%</td>
</tr>
 <tr>
<td valign="top" align="left">Area crime</td>
<td valign="top" align="center">0.06</td>
<td valign="top" align="center">16.29</td>
<td valign="top" align="center">0.05 (0.039, 0.055)</td>
<td valign="top" align="center">16.59 (15.71, 17.47)</td>
<td valign="top" align="center">100%</td>
</tr>
 <tr>
<td valign="top" align="left">Population density</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">8.50</td>
<td valign="top" align="center">0.01 (0.004, 0.008)</td>
<td valign="top" align="center">8.45 (7.94, 8.96)</td>
<td valign="top" align="center">100%</td>
</tr>
 <tr>
<td valign="top" align="left">Family conflicts</td>
<td valign="top" align="center">0.04</td>
<td valign="top" align="center">1.92</td>
<td valign="top" align="center">0.03 (0.025, 0.036)</td>
<td valign="top" align="center">2.23 (1.90, 2.57)</td>
<td valign="top" align="center">89%</td>
</tr>
 <tr>
<td valign="top" align="left">Neighborhood safety</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">1.01</td>
<td valign="top" align="center">0.01 (0.005, 0.009)</td>
<td valign="top" align="center">1.19 (0.90, 1.48)</td>
<td valign="top" align="center">77%</td>
</tr></tbody>
</table>
<table-wrap-foot>
<p>The stability test results show the mean and 95% confidence intervals for the canonical weights and shared variance percentages of the top features, as well as their frequency within the top five list of features across 100 iterations of mCCA on hold-out test data.</p>
</table-wrap-foot>
</table-wrap>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>The brain regions associated with the top five contributing features of the 2nd set of brain canonical variables (ICA GM in green, FreeSurfer in red, sFNC in blue).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fnimg-03-1390409-g0002.tif"/>
</fig>
<p>We performed linear mixed-effect regression model analyses on the accelerated and delayed brain age group to test the associations with cognitive measures and the brain maturation group. The results showed a <italic>t</italic>&#x02212;<italic>value</italic>:4.24, <italic>p</italic> &#x0003C; 1<italic>e</italic>&#x02212;16 for the Total composite score, <italic>t</italic>&#x02212;<italic>value</italic>:4.19, <italic>p</italic> &#x0003C; 1<italic>e</italic>&#x02212;16 for the Fluid composite score, and <italic>t</italic> &#x0003D; 2.63, <italic>p</italic> &#x0003D; 0.009 for the Crystallized composite score, suggesting the accelerated age group showed significantly higher performance on cognitive tests, consistent with accelerated brain maturation. Moreover, the association analyses between cognitive scores and brain-related canonical variables showed that the 1st set of brain canonical variables were all significantly associated with all three cognitive composite scores, passing FDR correction. Sets 2, 3, and 4 brain canonical variables were not associated with cognitive measures. The detailed association results are listed in <xref ref-type="supplementary-material" rid="SM1">Supplementary Table 9</xref>.</p></sec>
<sec id="s4">
<title>4 Discussion and conclusion</title>
<p>Our study aims to explore the multifaceted brain features that are associated with brain maturation and their relationship with environmental factors. From the ABCD cohort, we have identified a subpopulation of participants with either accelerated or delayed brain age using the brain age estimation model from our prior study. These two groups showed significant differences in cognitive measures, with the accelerated brain age group performing higher than the delayed group on cognitive measures, even after adjusting for biological age. To study environmental effects on multimodal brain features, we performed a 4-way mCCA analysis on regional gray matter density, morphometric measures, resting-state functional network connectivity, and environmental factors from nine domains. The 4-way mCCA analysis revealed highly related patterns between the three types of brain measures and their relationship with the environment.</p>
<p>Four sets of 4-way canonical variable correlations were verified (all four latent variables were significantly correlated in the testing data), and each set highlights a different environmental association with brain patterns. While the 1st, 3rd, and 4th sets present mainly effects from household income, area deprivation, and neighborhood, the 2nd set presents effects of air pollution and area crime at large. The 2nd set of brain canonical variables also demonstrates significant mean differences between the accelerated and delayed groups. The 1st set of brain canonical variables are also positively associated with all three cognitive scores (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Table 9</xref>). Given they relate significantly to household income, which is one of the most studied environmental factors with abundant evidence for associations with brain and cognition (Tomasi and Volkow, <xref ref-type="bibr" rid="B86">2021</xref>, <xref ref-type="bibr" rid="B87">2023</xref>), we are not surprised to observe this particular set of brain canonical variables associated with overall cognition. The lack of cognitive association of other sets of brain variables warrants further investigation on more specific cognitive ability, such as processing speed, inhibition, etc., in addition to over composite scores. Though all four sets of brain-environmental associations are valid and important, given our research interest, we focus our discussion on the associations among brain and environmental latent variables from the 2nd set of canonical variables.</p>
<p>To improve the interpretation of how the original observed features contribute to the latent variables, we presented the canonical weights assigned to each variable and the percentage of variance explained. The magnitude of the weight indicates the degree of contribution of the feature to the latent variable. Features with positive weights contribute to the canonical variable positively, while features with negative weights contribute inversely. However, interpreting the importance of a feature based on its canonical weight is subject to the limitation of the beta weights in regression analyses. Small weight can either suggest that the corresponding feature is nonessential, or its contribution has been partially explained by other features due to high multicollinearity. This limitation applies only to the interpretation of the CCA components, not to their extraction since multicollinearity is not a concern for extracting CCA components. CCA is designed to extract multivariate linearly related patterns within each dataset, ensuring that these linear patterns are correlated across datasets. To address the limitation inherent in canonical weights, we also examined the percentage of variance shared which represents the degree to which the observed feature shares variance with the canonical variable.</p>
<p>The accelerated brain age group displayed higher values across all three canonical variables of brain measures compared to the delayed group. First, the ICA gray matter density of the top regions contributed highly to the ICA latent variable. Notably, the first and last contributing regions exhibited positive canonical weights, while the remaining three areas had negative canonical weights (refer to <xref ref-type="table" rid="T4">Table 4</xref>). Positive weights indicated increased gray matter density in sub-gyral and superior temporal gyrus regions, whereas negative weights indicated reduced gray matter density in middle temporal gyrus and precuneus regions, resulting in higher values of the canonical variable. The sub-gyral region stood out as the most prominent contributor, accounting for 40.58% of the shared variance, followed by the middle temporal gyrus with 38.15%. Therefore, reduced gray matter density in the middle temporal gyrus and precuneus, along with increased density in the superior temporal region, albeit to a lesser extent, contributed to elevated values in the latent gray matter variable. The accelerated group exhibited higher values than the delayed group, implying potentially greater reductions in gray matter density overall, consistent with advanced brain maturation observed during this stage of adolescence (Arain et al., <xref ref-type="bibr" rid="B4">2013</xref>; Giedd et al., <xref ref-type="bibr" rid="B31">1999</xref>; Gogtay and Thompson, <xref ref-type="bibr" rid="B33">2010</xref>; Paus, <xref ref-type="bibr" rid="B59">2005</xref>; Whitford et al., <xref ref-type="bibr" rid="B89">2007</xref>).</p>
<p>Typically, maturation of gray matter volume appears first as linear loss in the dorsal parietal cortices, frontal and occipital poles, then progresses rostrally through the frontal cortex as quadratic and cubic gray matter volume loss (Gogtay et al., <xref ref-type="bibr" rid="B32">2004</xref>). This reduction in gray matter volume is accompanied by increases in cortical thickness in the frontal and parieto-occipital regions as the brain matures (Sowell et al., <xref ref-type="bibr" rid="B78">2004</xref>). Our results are in alignment with the current understanding of the maturation of gray matter volume and cortical thickness. The top five features that contributed to the latent morphological variable were decreases in gray matter volume in the orbitofrontal regions (left medial, and right lateral) and increases in cortical thickness in the right supramarginal region and bilateral occipital regions. The accelerated maturation group demonstrated higher values in this latent variable, confirming that reduction in gray matter volume in the orbitofrontal cortex, alongside increases in cortical thickness in the supramarginal and lateral occipital cortex are associated with the accelerated brain age.</p>
<p>Maturation of functional connectivity during adolescence is marked by increased segregation between short-range connectivity as well as increased integration of long-range connectivity (Fair et al., <xref ref-type="bibr" rid="B26">2007</xref>). This is seen in decreases in connectivity between the anterior PFC, dorsolateral PFC, and the frontoparietal control network in conjunction with increases in connectivity between the dorsal ACC, the medial superior frontal cortex, and the cingula-opercular control network (Stevens et al., <xref ref-type="bibr" rid="B80">2009</xref>). Consistent with this understanding of adolescent maturation, our study showed positive contributions to the latent variable from the functional connectivity of the occipital regions (cuneus, precuneus, and lingual gyrus), while connectivity between the middle temporal gyrus and right inferior frontal gyrus contributed negatively. The accelerated maturation group again had higher values with regard to the latent variable, confirming that they are experiencing accelerated brain maturation.</p>
<p>All three latent brain variables in our study were highly correlated, confirming our expectation that changes in gray matter density, cortical thickness, and functional connectivity are tightly coupled and covary during brain development. <xref ref-type="fig" rid="F2">Figure 2</xref> also illustrates anatomical regions from the three latent variables that are concentrated in the posterior part of the brain (occipital, temporal, and parietal cortices), accompanied by the inferior orbital part of the frontal cortex. Our results suggest the accelerated brain age group may be experiencing accelerated gray matter density reduction in the middle temporal gyrus and precuneus, volume reduction in the orbitofrontal cortex, as well as increased thickness in the supramarginal region, and increased functional connectivity across cortical-subcortical regions.</p>
<p>The environmental variable linked with the second set of brain patterns reveals that air pollution has the highest shared variance percentage at 84.59% and a canonical weight of &#x02212;0.26, positioning it as the primary contributing feature (see <xref ref-type="table" rid="T4">Table 4</xref>). Following air pollution, area crime, and population density emerge as significant contributors to the environmental canonical variable, with canonical weights of 0.06 and 0.01, and shared variance percentages of 16.29 and 8.50%, respectively. Low levels of air pollution coupled with higher area crime and population density result in a heightened latent variable that exhibits positive associations with all three latent brain variables. Although there are no discernible group differences in the environmental variable, its positive correlations with brain variables suggest that exposure to an environment characterized by low air pollution and elevated area crime and population density is associated with patterns of brain regions that include reductions in gray matter and enhanced functional connectivity, regions which are more prominent in the accelerated brain aging group. It seems counterintuitive that lower air pollution, a desirable environmental factor, would be coupled with unfavorable or harsh neighborhood conditions like higher crime rate and population density. However, in terms of brain development/maturation both favorable and unfavorable factors can work in the same direction. Prior research has suggested that individuals may mature faster when exposed to harsh social environmental conditions (Hedderich et al., <xref ref-type="bibr" rid="B39">2021</xref>), and brain development trajectory may be altered by air pollution in a time-sensitive manner (Herting et al., <xref ref-type="bibr" rid="B40">2024</xref>). The lack of group difference in environmental variables could be interpreted in two ways. One is that environmental variables stimulate brain development in specific patterns but with small effect sizes, so large samples are needed to verify environmental effects. The other is that environmental variables are only associated with the part of the variance in the brain patterns not showing brain development differences, and the part showing brain development difference is contributed by something else, such that more investigations on other environmental factors are warranted. In the literature air pollution (specifically fine particulate PM2.5) has been reported to have a positive correlation with gray matter volumetric changes across various brain regions, such as the medial orbitofrontal cortex, while a negative association between air pollution and gray matter volume is observed in regions like the superior temporal gyrus (Miller et al., <xref ref-type="bibr" rid="B57">2022</xref>). Our result showed that a low level of ambient air pollution is linked to a reduction of gray matter density in the middle temporal gyrus and the precuneus, as well as a reduction of gray matter volume in the left medial orbitofrontal cortex and the right lateral orbitofrontal cortex. Moreover, low air pollution is associated with increased gray matter density in the sub-gyral, superior temporal gyrus, and increased cortical thickness in the right supramarginal, bilateral occipital brain regions.</p>
<p>The limitations of our study are also opportunities for future research. Even though our study shows significant associations between environmental factors and brain maturation, we note that these results are only observational. These findings could be affected by potential confounders such as genetics, culture, or other unexplored demographic elements. The mCCA method assumes a linear relationship between observed features and the latent variables, as well as a linear correlation between different datasets. The method will fail to capture hidden relationships if they are complex nonlinear interactions. All our findings are based on ABCD baseline data with a cross-sectional analytical design. A longitudinal analysis of the ABCD cohort that tracks the changes in the multivariate relationships between brain-environment will paint a more complete and likely more complex picture.</p>
<p>In sum, our research leveraged brain age estimation in a large developmental cohort and revealed neuronal structural and functional variations associated with accelerated vs. delayed brain maturation. Furthermore, we provided evidence of associations between environmental factors and brain maturation, suggesting that such factors may modulate neuronal variations. However, the influence of other confounders should be considered. Future longitudinal studies on brain development could further unveil the dynamic trajectory of environmental factors.</p></sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The data analyzed in this study is subject to the following licenses/restrictions: data used in the preparation of this manuscript were obtained from the Adolescent Brain Cognitive Development (ABCD) Study (<ext-link ext-link-type="uri" xlink:href="https://abcdstudy.org">https://abcdstudy.org</ext-link>) shared by National Institute of Mental Health Data Archive (NDA) (<ext-link ext-link-type="uri" xlink:href="https://nda.nih.gov/">https://nda.nih.gov/</ext-link>). Requests to access these datasets should be directed to <ext-link ext-link-type="uri" xlink:href="https://abcdstudy.org">https://abcdstudy.org</ext-link> and <ext-link ext-link-type="uri" xlink:href="https://nda.nih.gov/">https://nda.nih.gov/</ext-link>.</p>
</sec>
<sec sec-type="ethics-statement" id="s6">
<title>Ethics statement</title>
<p>Ethical review and approval was not required for the study on human participants in accordance with the local legislation and institutional requirements. Written informed consent from the patients/participants or patients/participants&#x00027; legal guardian/next of kin was not required to participate in this study in accordance with the national legislation and the institutional requirements.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>BR: Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Project administration, Software, Validation, Visualization, Writing &#x02013; original draft, Writing &#x02013; review &#x00026; editing. DJ: Writing &#x02013; original draft, Writing &#x02013; review &#x00026; editing. PS: Writing &#x02013; original draft, Writing &#x02013; review &#x00026; editing. BT: Writing &#x02013; original draft, Writing &#x02013; review &#x00026; editing. RS: Writing &#x02013; original draft, Writing &#x02013; review &#x00026; editing. BF: Writing &#x02013; original draft, Writing &#x02013; review &#x00026; editing. ZF: Writing &#x02013; original draft, Writing &#x02013; review &#x00026; editing, Data curation. JC: Writing &#x02013; original draft, Writing &#x02013; review &#x00026; editing. VC: Funding acquisition, Resources, Supervision, Writing &#x02013; original draft, Writing &#x02013; review &#x00026; editing. JL: Conceptualization, Funding acquisition, Methodology, Project administration, Resources, Supervision, Validation, Writing &#x02013; original draft, Writing &#x02013; review &#x00026; editing.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This work was supported by the National Institutes of Health (NIH; R01DA049238) and the National Science Foundation of the USA (NSF; 2112455) to VC and JL.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of interest</title>
<p>The 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. The author(s) declared that they were an editorial board member of Frontiers, at the time of submission. This had no impact on the peer review process and the final decision.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x00027;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>
<sec sec-type="supplementary-material" id="s10">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fnimg.2024.1390409/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fnimg.2024.1390409/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/></sec>
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