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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Hum. Neurosci.</journal-id>
<journal-title>Frontiers in Human Neuroscience</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Hum. Neurosci.</abbrev-journal-title>
<issn pub-type="epub">1662-5161</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fnhum.2023.1059091</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Neuroscience</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Network segregation in aging females and evaluation of the impact of sex steroid hormones</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Hicks</surname> <given-names>Tracey H.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c002"><sup>&#x002A;</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x2020;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/2118392/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Magalh&#x00E3;es</surname> <given-names>Thamires N. C.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x2020;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/468929/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Ballard</surname> <given-names>Hannah K.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/2036520/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Jackson</surname> <given-names>T. Bryan</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1580275/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Cox</surname> <given-names>Sydney J.</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/2179290/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Bernard</surname> <given-names>Jessica A.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1189477/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Psychological and Brain Sciences, Texas A&#x0026;M University</institution>, <addr-line>College Station, TX</addr-line>, <country>United States</country></aff>
<aff id="aff2"><sup>2</sup><institution>Texas A&#x0026;M Institute for Neuroscience, Texas A&#x0026;M University</institution>, <addr-line>College Station, TX</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Ann-Maree Vallence, Murdoch University, Australia</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Deokjong Lee, Yonsei University Health System, Republic of Korea; Rachel Anne Hill, Monash University, Australia</p></fn>
<corresp id="c001">&#x002A;Correspondence: Thamires N. C. Magalh&#x00E3;es, <email>thamiresncm@tamu.edu</email></corresp>
<corresp id="c002">Tracey H. Hicks, <email>tslonim@tamu.edu</email></corresp>
<fn fn-type="equal" id="fn002"><p><sup>&#x2020;</sup>These authors have contributed equally to this work</p></fn>
<fn fn-type="other" id="fn004"><p>This article was submitted to Brain Imaging and Stimulation, a section of the journal Frontiers in Human Neuroscience</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>01</day>
<month>02</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>17</volume>
<elocation-id>1059091</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>09</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>13</day>
<month>01</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2023 Hicks, Magalh&#x00E3;es, Ballard, Jackson, Cox and Bernard.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Hicks, Magalh&#x00E3;es, Ballard, Jackson, Cox and Bernard</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>Males and females show differential patterns in connectivity in resting-state networks (RSNs) during normal aging, from early adulthood to late middle age. Age-related differences in network integration (effectiveness of specialized communication at the global network level) and segregation (functional specialization at the local level of specific brain regions) may also differ by sex. These differences may be due at least in part to endogenous hormonal fluctuation, such as that which occurs in females during midlife with the transition to menopause when levels of estrogens and progesterone drop markedly. A limited number of studies that have investigated sex differences in the action of steroid hormones in brain networks. Here we investigated how sex steroid hormones relate to age-network relationships in both males and females, with a focus on network segregation. Females displayed a significant quadratic relationship between age and network segregation for the cerebellar-basal ganglia and salience networks. In both cases, segregation was still increasing through adulthood, highest in midlife, and with a downturn thereafter. However, there were no significant relationships between sex steroid hormone levels and network segregation levels in females, and they did not exhibit significant associations between progesterone or 17&#x03B2;-estradiol and network segregation. Patterns of connectivity between the cerebellum and basal ganglia have been associated with cognitive performance and self-reported balance confidence in older adults. Together, these findings suggest that network segregation patterns with age in females vary by network, and that sex steroid hormones are not associated with this measure of connectivity in this cross-sectional analysis. Though this is a null effect, it remains critical for understanding the extent to which hormones relate to brain network architecture.</p>
</abstract>
<kwd-group>
<kwd>functional connectivity</kwd>
<kwd>aging</kwd>
<kwd>steroid hormones</kwd>
<kwd>sex differences</kwd>
<kwd>network segregation</kwd>
</kwd-group>
<counts>
<fig-count count="4"/>
<table-count count="7"/>
<equation-count count="1"/>
<ref-count count="73"/>
<page-count count="13"/>
<word-count count="9753"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1" sec-type="intro">
<title>1. Introduction</title>
<p>Advanced age is associated with an overall decrease in the effectiveness of specialized communication at the global network level (i.e., integration) and loss of functional specialization at the local level of specific brain regions (i.e., segregation). That is, neuronal networks become less distinct with advanced age (<xref ref-type="bibr" rid="B29">Foo et al., 2021</xref>).</p>
<p>Age-related differences in the reorganization of functional connectivity and cognitive abilities may also differ by sex. In adulthood, sex differences in brain structure and function can be observed (<xref ref-type="bibr" rid="B19">Cosgrove et al., 2007</xref>) and, similarly, sex differences in resting state networks (RSNs) have been reported. For example, studies of age differences have observed that males show increasing connectivity between-networks when compared to females (<xref ref-type="bibr" rid="B2">Allen et al., 2011</xref>; <xref ref-type="bibr" rid="B28">Filippi et al., 2013</xref>; <xref ref-type="bibr" rid="B31">Goldstone et al., 2016</xref>). Males also exhibited more marked changes in default mode network (DMN) connectivity, especially in the posterior cingulate cortex (PCC), but showed smaller differences (and possibly increases) in connectivity to the lateral prefrontal regions of the fronto-parietal network (FPN) relative to females (<xref ref-type="bibr" rid="B2">Allen et al., 2011</xref>; <xref ref-type="bibr" rid="B28">Filippi et al., 2013</xref>). Females on the other hand showed smaller differences in DMN connectivity but showed greater decreases in FPN connectivity when compared to males.</p>
<p>Sex differences in network architecture have also been reported (<xref ref-type="bibr" rid="B73">Zhang et al., 2016</xref>). <xref ref-type="bibr" rid="B73">Zhang et al. (2016)</xref> observed that female functional networks have significantly more connected nodes than males suggest an increase in network homogeneity in female brains. They also observed that the cerebellar nodes have a higher clustering coefficient and local efficiency for females (<xref ref-type="bibr" rid="B73">Zhang et al., 2016</xref>). This adds evidence to their findings that the clustering coefficient and local efficiency in males are higher, while female connections are diffuse across lobes and the network is less modular. These results jointly support the notion that networks in female brains, compared to those in males, are more spatially distributed but with lower correlation strengths (<xref ref-type="bibr" rid="B60">Scheinost et al., 2015</xref>; <xref ref-type="bibr" rid="B73">Zhang et al., 2016</xref>). Overall, males and females showed differential patterns in connectivity in RSNs during normal aging, and from early adulthood to late middle age (<xref ref-type="bibr" rid="B2">Allen et al., 2011</xref>; <xref ref-type="bibr" rid="B28">Filippi et al., 2013</xref>; <xref ref-type="bibr" rid="B60">Scheinost et al., 2015</xref>). However, these differences vary between studies with respect to regions and networks that are impacted.</p>
<p>Just as there are mixed results regarding sex differences with age in brain networks, there are also disagreements in the literature regarding differences in resting-state functional connectivity in the context of hormonal differences between biological sexes. To this point, there have been a limited number of studies that have investigated sex steroid hormones on brain networks. Further, there is currently disagreement among the rapidly expanding number of studies on the possible neuroprotective effects of sex hormones on cognitive and brain function more generally (<xref ref-type="bibr" rid="B45">Moffat, 2005</xref>; <xref ref-type="bibr" rid="B61">Sundstr&#x00F6;m Poromaa and Gingnell, 2014</xref>; <xref ref-type="bibr" rid="B64">Toffoletto et al., 2014</xref>). Given that RSNs appear to be differentially impacted in males in females in later life, further exploration of the impact of sex steroid hormone levels on network architecture across adulthood stands to improve our understanding of underlying factors contributing to these differences. Specifically, it may be that sex hormone levels are related to the integration and segregation of neuronal networks (<xref ref-type="bibr" rid="B51">Peper et al., 2011</xref>).</p>
<p>In the brain, hormone receptors can be found across several regions. Post-mortem studies have found estrogen receptors in the hippocampus, claustrum, cerebral cortex, amygdala, hypothalamus, subthalamic nucleus, and thalamus (<xref ref-type="bibr" rid="B49">Osterlund et al., 2000</xref>; <xref ref-type="bibr" rid="B69">Weiser et al., 2008</xref>; <xref ref-type="bibr" rid="B62">Syan et al., 2017</xref>). As for progesterone, a post-mortem study reported high concentrations of its receptors in the amygdala, hypothalamus, and cerebellum (<xref ref-type="bibr" rid="B10">Bixo et al., 1997</xref>; <xref ref-type="bibr" rid="B62">Syan et al., 2017</xref>). Testosterone exerts an early organizational effect on the development of the hypothalamus (<xref ref-type="bibr" rid="B39">Jacobson et al., 1981</xref>), the cerebral cortex (<xref ref-type="bibr" rid="B22">Diamond, 1991</xref>), and the hippocampus (<xref ref-type="bibr" rid="B57">Roof and Havens, 1992</xref>) in addition to other brain structures. With respect to testosterone, after conversion to estradiol, it can also interact with estrogen receptors (<xref ref-type="bibr" rid="B45">Moffat, 2005</xref>). The relationship between these two hormones (testosterone and estrogen) have been shown to affect vascular health directly (<xref ref-type="bibr" rid="B1">Aggarwal et al., 2018</xref>; <xref ref-type="bibr" rid="B55">Raparelli et al., 2022</xref>). The ratio of testosterone to estradiol is important for vascular function suggesting that these hormones may not act independently (<xref ref-type="bibr" rid="B66">van Koeverden et al., 2019</xref>; <xref ref-type="bibr" rid="B55">Raparelli et al., 2022</xref>). Therefore, it is also important to investigate the interactions that may occur between sex hormones and whether together they may be involved related to aging processes, as well as differences in neuronal networks (<xref ref-type="bibr" rid="B62">Syan et al., 2017</xref>). Testosterone, progesterone, and estrogens are present in both males and females, but their levels and production vary, mainly with respect to sex and age, though fluctuations in estrogens and progesterone occur across the female menstrual cycle as well (<xref ref-type="bibr" rid="B61">Sundstr&#x00F6;m Poromaa and Gingnell, 2014</xref>).</p>
<p>The influence of sex hormones on functional networks is vital to our understanding of brain function and organization during periods of endogenous hormonal fluctuation, such as that which occurs in females during midlife with the transition to menopause when levels of estrogens and progesterone drop markedly (<xref ref-type="bibr" rid="B64">Toffoletto et al., 2014</xref>; <xref ref-type="bibr" rid="B29">Foo et al., 2021</xref>). Our study here aims to investigate how sex steroid hormones relate to age-network relationships in both males and females, with a focus on network segregation. As such, we predicted that there would be associations between network segregation and hormone levels, as well as interactions between hormones that may be affecting or enhancing the segregation of RSNs.</p>
</sec>
<sec id="S2" sec-type="materials|methods">
<title>2. Materials and methods</title>
<sec id="S2.SS1">
<title>2.1. Study sample</title>
<p>One hundred and fifty-seven participants (total <italic>n</italic> = 157) were enrolled as part of a larger study on aging. All participants underwent a battery of cognitive and motor tasks and during this assessment, the participants provided saliva samples for hormone quantification (for details about collection see Section &#x201C;2.2 Hormone quantification&#x201D;). After the behavioral visit the participants returned for a magnetic resonance imaging (MRI) session approximately 2 weeks later. However, due to unexpected delays related to the COVID-19 pandemic, the time between the two sessions (39.0 days &#x00B1; 21.4 days) varied between participants. For our analyses here, we focused only on the hormone and brain imaging data.</p>
<p>Exclusion criteria were history of neurological disease, stroke, or formal diagnosis of psychiatric illness (e.g., depression or anxiety), contraindications for the brain imaging environment, and use of hormone therapy (HTh) or hormonal contraceptives [intrauterine device (IUD), possible use of continuous birth control (oral), and history of hysterectomy]. These latter exclusions were made to evaluate impacts of normative endocrine aging on healthy adult females. For our analyses here we focused only on those with available neuroimaging data and hormonal assays. Thus, our final sample included 121 participants [55 males (age 57 &#x00B1; 14.76) and 66 females (age 57 &#x00B1; 12.17)]. A flowchart showing the exclusions and determination of the final sample for analysis is presented below (<xref ref-type="fig" rid="F1">Figure 1</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>The initially collected number of participants and after following the exclusion criteria, the final number of our sample.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fnhum-17-1059091-g001.tif"/>
</fig>
<p>All study procedures were approved by the Institutional Review Board at Texas A&#x0026;M University, and written informed consent was obtained from each participant prior to initiating any data collection.</p>
</sec>
<sec id="S2.SS2">
<title>2.2. Hormone quantification</title>
<p>For hormonal analyses, we followed the methodology used in recent work from our research group (<xref ref-type="bibr" rid="B5">Ballard et al., 2022a</xref>). For the sake of clarity and replicability, the methods reporting here matches what was reported in our recent work (<xref ref-type="bibr" rid="B5">Ballard et al., 2022a</xref>). Before collecting the saliva sample, participants were asked to refrain from consuming alcohol 24 h prior and eating or drinking 3 h prior to their first study session to avoid exogenous influences on hormone levels. Participants were also screened for oral disease or injury, use of substances such as nicotine or caffeine, and prescription medications that may impact the saliva pH and compromise samples. Participants were asked to rinse their mouth with water 10 min prior to providing a saliva sample to clear out any residue.</p>
<p>Samples were then collected in pre-labeled cryovials provided by Salimetrics<sup><xref ref-type="fn" rid="footnote1">1</xref></sup> using the passive drool technique. For our study, participants were asked to supply 1 mL of saliva, after which samples were immediately stored in a &#x2212;80&#x00B0; Celsius bio-freezer for stabilization. Assays were completed by Salimetrics to quantify 17&#x03B2;-estradiol, progesterone, and testosterone levels for each participant. The amount of saliva collected was sufficient to detect 17&#x03B2;-estradiol at a high sensitivity threshold of 0.1 pg/mL (<xref ref-type="bibr" rid="B59">Salimetrics, 2022</xref>), along with 5.0 pg/mL and 1.0 pg/mL thresholds for progesterone and testosterone, respectively.</p>
<p>The protocol used by Salimetrics includes two repetitions of each assay; thus, the values used in our analyses represent an average of both repetitions. A few samples were insufficient in quantity and were unable to be properly assayed (<italic>n</italic> = 3; 2 progesterone, 1 testosterone). The intra-assay coefficient of variability for our hormone samples was 0.15 for 17&#x03B2;-estradiol, 0.11 for progesterone, and 0.07 for testosterone. This non-invasive method is adequate for precisely measuring reproductive hormones. Salivary measurements are strongly correlated with blood-derived measurements to index sex hormone levels (17&#x03B2;-estradiol: <italic>r</italic> = 0.80; progesterone: <italic>r</italic> = 0.80; testosterone: <italic>r</italic> = 0.96).<sup><xref ref-type="fn" rid="footnote2">2</xref></sup></p>
</sec>
<sec id="S2.SS3">
<title>2.3. Imaging acquisition</title>
<p>Participants underwent structural and resting-state MRI using a Siemens Magnetom Verio 3.0 Tesla scanner and a 32-channel head coil. For structural MRI, we collected a high-resolution T1-weighted 3D magnetization prepared rapid gradient multi-echo (MPRAGE) scan [repetition time (TR) = 2,400 ms; acquisition time = 7 min; voxel size = 0.8 mm<sup>3</sup>] and a high-resolution T2-weighted scan [TR = 3,200 ms; acquisition time = 5.5 min; voxel size = 0.8 mm<sup>3</sup>], each with a multiband acceleration factor of two. For resting-state imaging, we administered four blood-oxygen level dependent (BOLD) functional connectivity (fcMRI) scans with the following parameters: multiband factor of eight, 488 volumes, TR of 720 ms, and 2.5 mm<sup>3</sup> voxels. Each fcMRI scan was 6 min in length for a total of 24 min of resting-state imaging, and scans were acquired with alternating phase encoding directions (i.e., two anterior to posterior scans and two posteriors to anterior scans). During the fcMRI scans, participants were asked to lie still with their eyes open while fixating on a central cross. In total, the acquisition of images takes about 45 min, including a 1.5-min localizer.</p>
<p>Scanning protocols were adapted from the multiband sequences developed by the Human Connectome Project (HCP) (<xref ref-type="bibr" rid="B35">Harms et al., 2018</xref>) and the Center for Magnetic Resonance Research at the University of Minnesota to facilitate future data sharing and reproducibility.</p>
<sec id="S2.SS3.SSS1">
<title>2.3.1. Imaging processing</title>
<sec id="S2.SS3.SSS1.Px1">
<title>2.3.1.1. Pre-processing</title>
<p>Images were converted from DICOM to NIFTI and organized into a Brain Imaging Data Structure (BIDS, version 1.6.0) format <italic>via</italic> the latest docker container version of bidskit (version 2021.6.14).<sup><xref ref-type="fn" rid="footnote3">3</xref></sup> Using the split tool distributed with the FMRIB Software Library (FSL) package (<xref ref-type="bibr" rid="B40">Jenkinson et al., 2012</xref>), a single volume was extracted from two oppositely encoded BOLD images to estimate B<sub>0</sub> field maps. Next, fMRIPrep (version 20.2.3)<sup><xref ref-type="fn" rid="footnote4">4</xref></sup> was used to preprocess anatomical and functional images. The fMRIPrep preprocessing pipeline includes basic steps such as co-registration, normalization, unwarping, noise component extraction, segmentation, and skull-stripping.</p>
<p>While basic pre-processing was performed in the fMRI preparation, we also completed remaining steps in the Conn toolbox, version 21a (<xref ref-type="bibr" rid="B70">Whitfield-Gabrieli and Nieto-Castanon, 2012</xref>). We used the default preprocessing pipeline, which consists of realignment and unwarping with motion correction, centering to (0, 0, 0) coordinates, slice-timing correction, outlier detection using a 95th percentile threshold and the Artifact Rejection Toolbox (ART), segmentation of gray matter, white matter, and cerebrospinal fluid, normalization to Montreal Neurological Institute (MNI) space, and spatial smoothing with a 5 mm full width at half-maximum (FWHM) Gaussian kernel. A band-pass filter of 0.008&#x2013;0.099 Hz was applied to denoise data. The threshold for global-signal <italic>z</italic>-values was set at three, while the motion correction threshold was set at 0.5 mm. After being de-spiked during denoising to adhere to the global mean, 6-axis motion data and frame-wise outliers were included as first-level covariates.</p>
</sec>
<sec id="S2.SS3.SSS1.Px2">
<title>2.3.1.2. Region of interest selection</title>
<p>In our study, we used the same Region of Interest (ROIs) selection used by <xref ref-type="bibr" rid="B6">Ballard et al. (2022c)</xref>, in work previously completed by our group. The MNI coordinates for each cortical node retrieved from <xref ref-type="bibr" rid="B17">Cassady et al. (2019)</xref> [originally derived from <xref ref-type="bibr" rid="B52">Power et al. (2011)</xref>] were selected by our group. Further, we included 20 subcortical nodes of the [extracted from <xref ref-type="bibr" rid="B36">Hausman et al. (2020)</xref>] for the cerebellar-basal ganglia network (<xref ref-type="bibr" rid="B23">Diedrichsen, 2006</xref>; <xref ref-type="bibr" rid="B21">Di Martino et al., 2008</xref>; <xref ref-type="bibr" rid="B24">Diedrichsen et al., 2009</xref>). Cerebellar seeds were determined <italic>via</italic> the SUIT atlas (<xref ref-type="bibr" rid="B52">Power et al., 2011</xref>; <xref ref-type="bibr" rid="B17">Cassady et al., 2019</xref>). Our final set of ROIs contained 234 nodes across 11 networks (10 cortical, 1 subcortical, see <xref ref-type="table" rid="T1">Table 1</xref> for a list of included networks). MNI coordinates for each node were translated to voxel coordinates, which were subsequently used to create spherical seeds with 3.5 mm diameters in FSL (<xref ref-type="bibr" rid="B40">Jenkinson et al., 2012</xref>). These seeds were then treated as ROIs.</p>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>Network abbreviation key.</p></caption>
<table cellspacing="5" cellpadding="5" frame="box" rules="all">
<thead>
<tr>
<td valign="top" align="left" style="color:#ffffff;background-color: #7f8080;">Abbreviation</td>
<td valign="top" align="left" style="color:#ffffff;background-color: #7f8080;">Network</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Au</td>
<td valign="top" align="left">Auditory</td>
</tr>
<tr>
<td valign="top" align="left">CBBG</td>
<td valign="top" align="left">Cerebellar-basal ganglia</td>
</tr>
<tr>
<td valign="top" align="left">COTC</td>
<td valign="top" align="left">Cingulo-opercular task control</td>
</tr>
<tr>
<td valign="top" align="left">DA</td>
<td valign="top" align="left">Dorsal attention</td>
</tr>
<tr>
<td valign="top" align="left">DM</td>
<td valign="top" align="left">Default mode</td>
</tr>
<tr>
<td valign="top" align="left">FPTC</td>
<td valign="top" align="left">Fronto-parietal task control</td>
</tr>
<tr>
<td valign="top" align="left">Sa</td>
<td valign="top" align="left">Salience</td>
</tr>
<tr>
<td valign="top" align="left">SSH</td>
<td valign="top" align="left">Sensory somatomotor hand</td>
</tr>
<tr>
<td valign="top" align="left">SSM</td>
<td valign="top" align="left">Sensory somatomotor mouth</td>
</tr>
<tr>
<td valign="top" align="left">Vi</td>
<td valign="top" align="left">Visual</td>
</tr>
<tr>
<td valign="top" align="left">VA</td>
<td valign="top" align="left">Ventral attention</td>
</tr>
</tbody>
</table></table-wrap>
<p>First-level ROI-to-ROI relationships were evaluated with a bivariate correlation approach; those correlations are needed to calculate the variables within and between the network for each subject which are then used in the network segregation equation. Correlation values were transformed into <italic>z</italic>-values <italic>via</italic> Fisher&#x2019;s r-to-z conversion (<xref ref-type="bibr" rid="B72">Zar Jerrold, 1996</xref>). Corrections for multiple comparisons were applied during statistical analyses.</p>
</sec>
<sec id="S2.SS3.SSS1.Px3">
<title>2.3.1.3. Network segregation equation</title>
<p>For the analysis of network segregation, we again followed our previous work reported by <xref ref-type="bibr" rid="B5">Ballard et al. (2022a</xref>,<xref ref-type="bibr" rid="B6">c)</xref> and based off analyses initially conducted by <xref ref-type="bibr" rid="B18">Chan et al. (2014)</xref>. Network segregation values were determined using Equation 1 below. In the formula, <inline-formula><mml:math id="INEQ2"><mml:msub><mml:munder accentunder="true"><mml:mi>z</mml:mi><mml:mo>&#x00AF;</mml:mo></mml:munder><mml:mi>w</mml:mi></mml:msub></mml:math></inline-formula> corresponds to the mean correlation between ROIs within an individual network, and <inline-formula><mml:math id="INEQ3"><mml:msub><mml:munder accentunder="true"><mml:mi>z</mml:mi><mml:mo>&#x00AF;</mml:mo></mml:munder><mml:mi>b</mml:mi></mml:msub></mml:math></inline-formula> represents the mean correlation between ROIs of an individual network and all remaining ROIs of other networks. Group-level analyses were performed with a voxel threshold of <italic>p</italic> &#x003C; 0.001 and cluster threshold, FDR-corrected, of <italic>p</italic> &#x003C; 0.05.</p>
<p>Equation 1. Network segregation values were determined using this formula.</p>
<disp-formula id="S2.Ex1">
<mml:math id="M1">
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<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mo>&#x2062;</mml:mo>
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<mml:mo>&#x2062;</mml:mo>
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<mml:mo>&#x2062;</mml:mo>
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<mml:mo>&#x2062;</mml:mo>
<mml:mi>g</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>r</mml:mi>
<mml:mo>&#x2062;</mml:mo>
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<mml:mo>&#x2062;</mml:mo>
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<mml:mo>&#x2062;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mo>&#x2062;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2062;</mml:mo>
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<mml:mo>&#x2062;</mml:mo>
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<mml:mo>&#x2062;</mml:mo>
<mml:mi>n</mml:mi>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mfrac>
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<mml:msub>
<mml:munder accentunder="true">
<mml:mi>z</mml:mi>
<mml:mo>&#x00AF;</mml:mo>
</mml:munder>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:mo>-</mml:mo>
<mml:msub>
<mml:munder accentunder="true">
<mml:mi>z</mml:mi>
<mml:mo>&#x00AF;</mml:mo>
</mml:munder>
<mml:mi>b</mml:mi>
</mml:msub>
</mml:mrow>
<mml:msub>
<mml:munder accentunder="true">
<mml:mi>z</mml:mi>
<mml:mo>&#x00AF;</mml:mo>
</mml:munder>
<mml:mi>w</mml:mi>
</mml:msub>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</sec>
</sec>
</sec>
<sec id="S2.SS4">
<title>2.4. Statistical analysis</title>
<p>We first sought to ascertain sex differences in hormone levels within our sample. Analyses of variance (ANOVAs) were conducted to determine sex differences in hormone levels (i.e., estradiol, progesterone, and testosterone separately). ANOVAs were completed using the ANOVA function from the default &#x201C;stats&#x201D; package in R (v4.0.5, <xref ref-type="bibr" rid="B54">R Core Team, 2021</xref>) which determined beta coefficients, degrees of freedom, <italic>F</italic>-values, and <italic>p</italic>-values; the sjstats and pwr packages were used to compute &#x03B7;<sup>2</sup> and partial &#x03B7;<sup>2</sup> values (v0.18.1, (<xref ref-type="bibr" rid="B44">L&#x00FC;decke, 2022</xref>)).</p>
<p>As our primary area of interest lies within the impact of fluctuating hormones on female brain network segregation, our main analyses investigated females only. However, exploratory analyses evaluated males and all participants combined which are included in the supplement.</p>
<p>To explore the unique associations between hormone levels (i.e., estradiol, progesterone, and testosterone separately) and each network of interest in females, linear regressions were performed in which hormone levels served as the predictor and network segregation as the outcome. These linear regressions were also conducted in exploratory analyses with males and all participants collapsing the two sexes (<xref ref-type="supplementary-material" rid="DS1">Supplementary Tables 1</xref>&#x2013;<xref ref-type="supplementary-material" rid="DS1">6</xref>). The lm function from the default &#x201C;stats&#x201D; package in R (v4.0.5, <xref ref-type="bibr" rid="B54">R Core Team, 2021</xref>) determined beta coefficients, degrees of freedom, <italic>F</italic>-values, <italic>p</italic>-values, R<sup>2</sup>, and adjusted R<sup>2</sup>. False discovery rate (FDR) correction was applied to account for multiple comparisons (i.e., number of networks examined) using the FSA package in R exclusively on results with a <italic>p</italic>-value &#x2264; 0.05 (FSA v0.9.3, <xref ref-type="bibr" rid="B48">Ogle et al., 2022</xref>). Linear regressions with hormone level interactions (i.e., estradiol&#x002A;progesterone, estradiol&#x002A;testosterone, and progesterone&#x002A;testosterone) as the predictor variables explored the relationship between combined hormone levels and network segregation in females. Exploratory analyses investigated the same hormone level interactions in males and all participants together (<xref ref-type="supplementary-material" rid="DS1">Supplementary Tables 12, 13</xref>). FDR correction was applied as previously described (FSA v0.9.3, <xref ref-type="bibr" rid="B9">Bernard et al., 2015</xref>). Our cross-sectional hormone level data is also visualized <italic>via</italic> locally weighted scatterplot smoothing (<xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 1</xref>) to provide comparison to normal distributions of sex hormone levels by age.</p>
<p>Associations between network segregation and age were evaluated <italic>via</italic> linear regression with age as the predictor and network connectivity as the outcome in females; males and all participants together were run as exploratory analyses (<xref ref-type="supplementary-material" rid="DS1">Supplementary Tables 7</xref>, <xref ref-type="supplementary-material" rid="DS1">8</xref>). We conducted similar regressions with quadratic age [Age + I (Age<sup>2</sup>)] as the predictor to investigate whether network segregation demonstrated better fit with a quadratic function rather than linear across middle-to advanced-age adults, given prior work suggesting non-linear relationships between brain system segregation (<xref ref-type="bibr" rid="B18">Chan et al., 2014</xref>) as well as brain volume (<xref ref-type="bibr" rid="B9">Bernard et al., 2015</xref>) and age. Quadratic regressions for males and all participants were run as exploratory analyses (<xref ref-type="supplementary-material" rid="DS1">Supplementary Tables 9, 10</xref>). Linear and quadratic regressions were performed using the lm function from the default &#x201C;stats&#x201D; package in R (v4.0.5, <xref ref-type="bibr" rid="B54">R Core Team, 2021</xref>) which determined beta coefficients, degrees of freedom, F-values, <italic>p</italic>-values, R<sup>2</sup>, and adjusted R<sup>2</sup>. FDR correction was applied as previously described to account for multiple comparisons (i.e., number of networks examined) (FSA v0.9.3, <xref ref-type="bibr" rid="B18">Chan et al., 2014</xref>). Akaike&#x2019;s An Information Criterion (AIC) (<xref ref-type="bibr" rid="B58">Sakamoto et al., 1986</xref>) compared fit between linear and quadratic models with a requirement that model value must differ by 10 to be considered a superior fit (<xref ref-type="bibr" rid="B16">Burnham and Anderson, 2004</xref>; <xref ref-type="bibr" rid="B11">Bohon and Welch, 2021</xref>). AIC was calculated by the default &#x201C;stats&#x201D; package in R (v4.0.5, <xref ref-type="bibr" rid="B54">R Core Team, 2021</xref>).</p>
<p>The stargazer package (v5.2.2; <xref ref-type="bibr" rid="B38">Hlavac, 2018</xref>) was used to create <xref ref-type="table" rid="T2">Tables 2</xref>&#x2013;<xref ref-type="table" rid="T7">7</xref>. The ggplot2 package was used to create linear and quadratic plots (Figures 1&#x2013;5; v3.3.3; <xref ref-type="bibr" rid="B71">Wickham, 2016</xref>). All figures were created using a colorblind friendly palette <italic>via</italic> RColorBrewer (<xref ref-type="bibr" rid="B47">Neuwirth and Neuwirth, 2023</xref>).</p>
<table-wrap position="float" id="T2">
<label>TABLE 2</label>
<caption><p>This table presents results from linear regressions for estradiol and network segregation in females.</p></caption>
<table cellspacing="5" cellpadding="5" frame="box" rules="all">
<thead>
<tr>
<td valign="top" align="left" colspan="7" style="color:#ffffff;background-color: #7f8080;">Female estradiol linear associations with network segregation</td>
</tr>
<tr>
<td style="color:#ffffff;background-color: #7f8080;"/>
<td valign="top" align="left" style="color:#ffffff;background-color: #7f8080;">Estradiol &#x03B2; coefficient</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Raw <italic>P</italic>-value</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;"><italic>R</italic><sup>2</sup></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Adjusted <italic>R</italic><sup>2</sup></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Residual std. error (df = 55)</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">F statistic (df = 1; 55)</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Au</td>
<td valign="top" align="center">-0.008</td>
<td valign="top" align="center">0.738</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">-0.016</td>
<td valign="top" align="center">0.103</td>
<td valign="top" align="center">0.114</td>
</tr>
<tr>
<td valign="top" align="left">CBBG</td>
<td valign="top" align="center">0.039</td>
<td valign="top" align="center">0.313</td>
<td valign="top" align="center">0.019</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.157</td>
<td valign="top" align="center">1.037</td>
</tr>
<tr>
<td valign="top" align="left">COTC</td>
<td valign="top" align="center">0.914</td>
<td valign="top" align="center">0.385</td>
<td valign="top" align="center">0.014</td>
<td valign="top" align="center">-0.004</td>
<td valign="top" align="center">4.27</td>
<td valign="top" align="center">0.769</td>
</tr>
<tr>
<td valign="top" align="left">DA</td>
<td valign="top" align="center">-0.023</td>
<td valign="top" align="center">0.392</td>
<td valign="top" align="center">0.013</td>
<td valign="top" align="center">-0.005</td>
<td valign="top" align="center">0.109</td>
<td valign="top" align="center">0.746</td>
</tr>
<tr>
<td valign="top" align="left">DM</td>
<td valign="top" align="center">0.018</td>
<td valign="top" align="center">0.625</td>
<td valign="top" align="center">0.004</td>
<td valign="top" align="center">-0.014</td>
<td valign="top" align="center">0.146</td>
<td valign="top" align="center">0.242</td>
</tr>
<tr>
<td valign="top" align="left">FPTC</td>
<td valign="top" align="center">0.015</td>
<td valign="top" align="center">0.646</td>
<td valign="top" align="center">0.004</td>
<td valign="top" align="center">-0.014</td>
<td valign="top" align="center">0.129</td>
<td valign="top" align="center">0.214</td>
</tr>
<tr>
<td valign="top" align="left">Sa</td>
<td valign="top" align="center">0.038</td>
<td valign="top" align="center">0.259</td>
<td valign="top" align="center">0.023</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">0.138</td>
<td valign="top" align="center">1.306</td>
</tr>
<tr>
<td valign="top" align="left">SSH</td>
<td valign="top" align="center">-0.008</td>
<td valign="top" align="center">0.761</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">-0.016</td>
<td valign="top" align="center">0.111</td>
<td valign="top" align="center">0.094</td>
</tr>
<tr>
<td valign="top" align="left">SSM</td>
<td valign="top" align="center">-0.024</td>
<td valign="top" align="center">0.205</td>
<td valign="top" align="center">0.029</td>
<td valign="top" align="center">0.011</td>
<td valign="top" align="center">0.077</td>
<td valign="top" align="center">1.646</td>
</tr>
<tr>
<td valign="top" align="left">Vi</td>
<td valign="top" align="center">-0.013</td>
<td valign="top" align="center">0.705</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">-0.015</td>
<td valign="top" align="center">0.137</td>
<td valign="top" align="center">0.146</td>
</tr>
<tr>
<td valign="top" align="left">VA</td>
<td valign="top" align="center">-0.022</td>
<td valign="top" align="center">0.731</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">-0.016</td>
<td valign="top" align="center">0.26</td>
<td valign="top" align="center">0.120</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>Raw <italic>p</italic>-values are listed, and FDR correction was only performed if raw <italic>p</italic>-value was &#x003C; 0.05.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T3">
<label>TABLE 3</label>
<caption><p>This table presents results from linear regressions for progesterone and network segregation in females.</p></caption>
<table cellspacing="5" cellpadding="5" frame="box" rules="all">
<thead>
<tr>
<td valign="top" align="left" colspan="8" style="color:#ffffff;background-color: #7f8080;">Female progesterone linear associations with network segregation</td>
</tr>
<tr>
<td style="color:#ffffff;background-color: #7f8080;"/>
<td valign="top" align="left" style="color:#ffffff;background-color: #7f8080;">Progesterone &#x03B2; coefficient</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Raw <italic>P</italic>-value</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">FDR corrected <italic>P</italic>-value</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;"><italic>R</italic><sup>2</sup></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Adjusted <italic>R</italic><sup>2</sup></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Residual std. error (df = 59)</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">F statistic (df = 1; 59)</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Au</td>
<td valign="top" align="center">0.0001</td>
<td valign="top" align="center">0.575</td>
<td valign="top" align="center">0.926</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">-0.011</td>
<td valign="top" align="center">0.107</td>
<td valign="top" align="center">0.318</td>
</tr>
<tr>
<td valign="top" align="left">CBBG</td>
<td valign="top" align="center">0.0003</td>
<td valign="top" align="center">0.176</td>
<td valign="top" align="center">0.484</td>
<td valign="top" align="center">0.031</td>
<td valign="top" align="center">0.014</td>
<td valign="top" align="center">0.166</td>
<td valign="top" align="center">1.880</td>
</tr>
<tr>
<td valign="top" align="left">COTC</td>
<td valign="top" align="center">0.015</td>
<td valign="top" align="center">0.010</td>
<td valign="top" align="center">0.110</td>
<td valign="top" align="center">0.109</td>
<td valign="top" align="center">0.094</td>
<td valign="top" align="center">3.873</td>
<td valign="top" align="center">7.247</td>
</tr>
<tr>
<td valign="top" align="left">DA</td>
<td valign="top" align="center">0.0001</td>
<td valign="top" align="center">0.674</td>
<td valign="top" align="center">0.926</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">-0.014</td>
<td valign="top" align="center">0.107</td>
<td valign="top" align="center">0.179</td>
</tr>
<tr>
<td valign="top" align="left">DM</td>
<td valign="top" align="center">0.0002</td>
<td valign="top" align="center">0.255</td>
<td valign="top" align="center">0.561</td>
<td valign="top" align="center">0.022</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">0.143</td>
<td valign="top" align="center">1.323</td>
</tr>
<tr>
<td valign="top" align="left">FPTC</td>
<td valign="top" align="center">0.0004</td>
<td valign="top" align="center">0.049</td>
<td valign="top" align="center">0.270</td>
<td valign="top" align="center">0.064</td>
<td valign="top" align="center">0.049</td>
<td valign="top" align="center">0.123</td>
<td valign="top" align="center">4.067</td>
</tr>
<tr>
<td valign="top" align="left">Sa</td>
<td valign="top" align="center">0.0003</td>
<td valign="top" align="center">0.102</td>
<td valign="top" align="center">0.374</td>
<td valign="top" align="center">0.045</td>
<td valign="top" align="center">0.029</td>
<td valign="top" align="center">0.134</td>
<td valign="top" align="center">2.764</td>
</tr>
<tr>
<td valign="top" align="left">SSH</td>
<td valign="top" align="center">0.0001</td>
<td valign="top" align="center">0.711</td>
<td valign="top" align="center">0.926</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">-0.015</td>
<td valign="top" align="center">0.116</td>
<td valign="top" align="center">0.139</td>
</tr>
<tr>
<td valign="top" align="left">SSM</td>
<td valign="top" align="center">0.00001</td>
<td valign="top" align="center">0.926</td>
<td valign="top" align="center">0.926</td>
<td valign="top" align="center">0.0002</td>
<td valign="top" align="center">-0.017</td>
<td valign="top" align="center">0.082</td>
<td valign="top" align="center">0.009</td>
</tr>
<tr>
<td valign="top" align="left">Vi</td>
<td valign="top" align="center">0.00004</td>
<td valign="top" align="center">0.850</td>
<td valign="top" align="center">0.926</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">-0.016</td>
<td valign="top" align="center">0.133</td>
<td valign="top" align="center">0.036</td>
</tr>
<tr>
<td valign="top" align="left">VA</td>
<td valign="top" align="center">-0.0001</td>
<td valign="top" align="center">0.881</td>
<td valign="top" align="center">0.926</td>
<td valign="top" align="center">0.0004</td>
<td valign="top" align="center">-0.017</td>
<td valign="top" align="center">0.246</td>
<td valign="top" align="center">0.023</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>Raw <italic>p</italic>-values and FDR corrected <italic>p</italic>-values are included. There were no significant findings after FDR correction.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T4">
<label>TABLE 4</label>
<caption><p>This table presents results from linear regressions for testosterone and network segregation in females.</p></caption>
<table cellspacing="5" cellpadding="5" frame="box" rules="all">
<thead>
<tr>
<td valign="top" align="left" colspan="7" style="color:#ffffff;background-color: #7f8080;">Female testosterone linear associations with network segregation</td>
</tr>
<tr>
<td style="color:#ffffff;background-color: #7f8080;"/>
<td valign="top" align="left" style="color:#ffffff;background-color: #7f8080;">Testosterone &#x03B2; coefficient</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Raw <italic>P</italic>-value</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;"><italic>R</italic><sup>2</sup></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Adjusted <italic>R</italic><sup>2</sup></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Residual std. error (df = 60)</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">F statistic (df = 1; 60)</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Au</td>
<td valign="top" align="center">-0.0001</td>
<td valign="top" align="center">0.881</td>
<td valign="top" align="center">0.0004</td>
<td valign="top" align="center">-0.016</td>
<td valign="top" align="center">0.106</td>
<td valign="top" align="center">0.023</td>
</tr>
<tr>
<td valign="top" align="left">CBBG</td>
<td valign="top" align="center">0.0003</td>
<td valign="top" align="center">0.668</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">-0.014</td>
<td valign="top" align="center">0.167</td>
<td valign="top" align="center">0.187</td>
</tr>
<tr>
<td valign="top" align="left">COTC</td>
<td valign="top" align="center">0.009</td>
<td valign="top" align="center">0.561</td>
<td valign="top" align="center">0.006</td>
<td valign="top" align="center">-0.011</td>
<td valign="top" align="center">4.115</td>
<td valign="top" align="center">0.342</td>
</tr>
<tr>
<td valign="top" align="left">DA</td>
<td valign="top" align="center">-0.0002</td>
<td valign="top" align="center">0.715</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">-0.014</td>
<td valign="top" align="center">0.106</td>
<td valign="top" align="center">0.135</td>
</tr>
<tr>
<td valign="top" align="left">DM</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.112</td>
<td valign="top" align="center">0.042</td>
<td valign="top" align="center">0.026</td>
<td valign="top" align="center">0.141</td>
<td valign="top" align="center">2.605</td>
</tr>
<tr>
<td valign="top" align="left">FPTC</td>
<td valign="top" align="center">0.0001</td>
<td valign="top" align="center">0.900</td>
<td valign="top" align="center">0.0003</td>
<td valign="top" align="center">-0.016</td>
<td valign="top" align="center">0.126</td>
<td valign="top" align="center">0.016</td>
</tr>
<tr>
<td valign="top" align="left">Sa</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.262</td>
<td valign="top" align="center">0.021</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">0.136</td>
<td valign="top" align="center">1.284</td>
</tr>
<tr>
<td valign="top" align="left">SSH</td>
<td valign="top" align="center">-0.0001</td>
<td valign="top" align="center">0.872</td>
<td valign="top" align="center">0.0004</td>
<td valign="top" align="center">-0.016</td>
<td valign="top" align="center">0.116</td>
<td valign="top" align="center">0.027</td>
</tr>
<tr>
<td valign="top" align="left">SSM</td>
<td valign="top" align="center">-0.0003</td>
<td valign="top" align="center">0.283</td>
<td valign="top" align="center">0.019</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">0.08</td>
<td valign="top" align="center">1.175</td>
</tr>
<tr>
<td valign="top" align="left">Vi</td>
<td valign="top" align="center">-0.0002</td>
<td valign="top" align="center">0.676</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">-0.014</td>
<td valign="top" align="center">0.131</td>
<td valign="top" align="center">0.177</td>
</tr>
<tr>
<td valign="top" align="left">VA</td>
<td valign="top" align="center">-0.001</td>
<td valign="top" align="center">0.364</td>
<td valign="top" align="center">0.014</td>
<td valign="top" align="center">-0.003</td>
<td valign="top" align="center">0.245</td>
<td valign="top" align="center">0.837</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>Raw <italic>p</italic>-values are listed, and FDR correction was only performed if raw <italic>p</italic>-value was &#x003C; 0.05.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T5">
<label>TABLE 5</label>
<caption><p>This table exhibits results from linear regressions for hormone interactions and network segregation in females.</p></caption>
<table cellspacing="5" cellpadding="5" frame="box" rules="all">
<thead>
<tr>
<td valign="top" align="left" colspan="12" style="color:#ffffff;background-color: #7f8080;">Female hormone level interactions with network segregation</td>
</tr>
<tr>
<td style="color:#ffffff;background-color: #7f8080;"/>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Estradiol<break/> by progesterone (E&#x002A;P)<break/> &#x03B2; coefficient</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Raw E&#x002A;P <italic>P</italic>-value</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Estradiol<break/> by testosterone (E&#x002A;T)<break/> &#x03B2; coefficient</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Raw E&#x002A;T <italic>P</italic>-value</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Progesterone<break/> by testosterone (P&#x002A;T)<break/> &#x03B2; coefficient</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Raw P&#x002A;T <italic>P</italic>-value</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">FDR corrected<break/> <italic>P</italic>-value for<break/> estradiol by testosterone (E&#x002A;T)</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;"><italic>R</italic><sup>2</sup></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Adjusted <italic>R</italic><sup>2</sup></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Residual std. error (df = 48)</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">F statistic (df = 6; 48)</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Au</td>
<td valign="top" align="center">0.0003</td>
<td valign="top" align="center">0.669</td>
<td valign="top" align="center">-0.003</td>
<td valign="top" align="center">0.072</td>
<td valign="top" align="center">0.00001</td>
<td valign="top" align="center">0.360</td>
<td valign="top" align="center">0.264</td>
<td valign="top" align="center">0.096</td>
<td valign="top" align="center">-0.017</td>
<td valign="top" align="center">0.103</td>
<td valign="top" align="center">0.851</td>
</tr>
<tr>
<td valign="top" align="left">CBBG</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.131</td>
<td valign="top" align="center">-0.003</td>
<td valign="top" align="center">0.167</td>
<td valign="top" align="center">0.00001</td>
<td valign="top" align="center">0.760</td>
<td valign="top" align="center">0.359</td>
<td valign="top" align="center">0.133</td>
<td valign="top" align="center">0.024</td>
<td valign="top" align="center">0.155</td>
<td valign="top" align="center">1.225</td>
</tr>
<tr>
<td valign="top" align="left">COTC</td>
<td valign="top" align="center">-0.029</td>
<td valign="top" align="center">0.245</td>
<td valign="top" align="center">-0.056</td>
<td valign="top" align="center">0.315</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.111</td>
<td valign="top" align="center">0.429</td>
<td valign="top" align="center">0.182</td>
<td valign="top" align="center">0.079</td>
<td valign="top" align="center">4.087</td>
<td valign="top" align="center">1.776</td>
</tr>
<tr>
<td valign="top" align="left">DA</td>
<td valign="top" align="center">-0.0005</td>
<td valign="top" align="center">0.489</td>
<td valign="top" align="center">-0.001</td>
<td valign="top" align="center">0.511</td>
<td valign="top" align="center">0.00001</td>
<td valign="top" align="center">0.507</td>
<td valign="top" align="center">0.511</td>
<td valign="top" align="center">0.05</td>
<td valign="top" align="center">-0.069</td>
<td valign="top" align="center">0.111</td>
<td valign="top" align="center">0.422</td>
</tr>
<tr>
<td valign="top" align="left">DM</td>
<td valign="top" align="center">0.0002</td>
<td valign="top" align="center">0.792</td>
<td valign="top" align="center">-0.002</td>
<td valign="top" align="center">0.333</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0.856</td>
<td valign="top" align="center">0.429</td>
<td valign="top" align="center">0.085</td>
<td valign="top" align="center">-0.029</td>
<td valign="top" align="center">0.148</td>
<td valign="top" align="center">0.747</td>
</tr>
<tr>
<td valign="top" align="left">FPTC</td>
<td valign="top" align="center">-0.0002</td>
<td valign="top" align="center">0.786</td>
<td valign="top" align="center">-0.002</td>
<td valign="top" align="center">0.196</td>
<td valign="top" align="center">0.00001</td>
<td valign="top" align="center">0.496</td>
<td valign="top" align="center">0.359</td>
<td valign="top" align="center">0.135</td>
<td valign="top" align="center">0.027</td>
<td valign="top" align="center">0.126</td>
<td valign="top" align="center">1.248</td>
</tr>
<tr>
<td valign="top" align="left">Sa</td>
<td valign="top" align="center">0.0001</td>
<td valign="top" align="center">0.940</td>
<td valign="top" align="center">-0.002</td>
<td valign="top" align="center">0.359</td>
<td valign="top" align="center">0.00002</td>
<td valign="top" align="center">0.363</td>
<td valign="top" align="center">0.429</td>
<td valign="top" align="center">0.072</td>
<td valign="top" align="center">-0.044</td>
<td valign="top" align="center">0.14</td>
<td valign="top" align="center">0.619</td>
</tr>
<tr>
<td valign="top" align="left">SSH</td>
<td valign="top" align="center">0.0002</td>
<td valign="top" align="center">0.755</td>
<td valign="top" align="center">-0.003</td>
<td valign="top" align="center">0.035</td>
<td valign="top" align="center">0.00003</td>
<td valign="top" align="center">0.088</td>
<td valign="top" align="center">0.193</td>
<td valign="top" align="center">0.133</td>
<td valign="top" align="center">0.025</td>
<td valign="top" align="center">0.111</td>
<td valign="top" align="center">1.23</td>
</tr>
<tr>
<td valign="top" align="left">SSM</td>
<td valign="top" align="center">0.0001</td>
<td valign="top" align="center">0.766</td>
<td valign="top" align="center">-0.002</td>
<td valign="top" align="center">0.028</td>
<td valign="top" align="center">0.00002</td>
<td valign="top" align="center">0.137</td>
<td valign="top" align="center">0.193</td>
<td valign="top" align="center">0.157</td>
<td valign="top" align="center">0.051</td>
<td valign="top" align="center">0.076</td>
<td valign="top" align="center">1.485</td>
</tr>
<tr>
<td valign="top" align="left">Vi</td>
<td valign="top" align="center">-0.001</td>
<td valign="top" align="center">0.125</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.390</td>
<td valign="top" align="center">0.00001</td>
<td valign="top" align="center">0.711</td>
<td valign="top" align="center">0.429</td>
<td valign="top" align="center">0.059</td>
<td valign="top" align="center">-0.059</td>
<td valign="top" align="center">0.142</td>
<td valign="top" align="center">0.497</td>
</tr>
<tr>
<td valign="top" align="left">VA</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.307</td>
<td valign="top" align="center">-0.005</td>
<td valign="top" align="center">0.127</td>
<td valign="top" align="center">0.00001</td>
<td valign="top" align="center">0.691</td>
<td valign="top" align="center">0.349</td>
<td valign="top" align="center">0.072</td>
<td valign="top" align="center">-0.044</td>
<td valign="top" align="center">0.26</td>
<td valign="top" align="center">0.617</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>Raw <italic>p</italic>-values and FDR corrected <italic>p</italic>-values are included. FDR correction was only performed if raw <italic>p</italic>-value was &#x003C; 0.05. There were no significant findings after FDR correction.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T6">
<label>TABLE 6</label>
<caption><p>This table exhibits results from linear regressions for age and network segregation in females.</p></caption>
<table cellspacing="5" cellpadding="5" frame="box" rules="all">
<thead>
<tr>
<td valign="top" align="left" colspan="8" style="color:#ffffff;background-color: #7f8080;">Female linear age associations with network segregation</td>
</tr>
<tr>
<td style="color:#ffffff;background-color: #7f8080;"/>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Age &#x03B2; coefficient</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Raw <italic>P</italic>-value</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">FDR corrected <italic>P</italic>-value</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;"><italic>R</italic><sup>2</sup></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Adjusted <italic>R</italic><sup>2</sup></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Residual std. error (df = 64)</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">F statistic (df = 1; 64)</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Au</td>
<td valign="top" align="center">&#x2212;0.002</td>
<td valign="top" align="center">0.024</td>
<td valign="top" align="center">0.088</td>
<td valign="top" align="center">0.078</td>
<td valign="top" align="center">0.064</td>
<td valign="top" align="center">0.105</td>
<td valign="top" align="center">5.414</td>
</tr>
<tr>
<td valign="top" align="left">CBBG</td>
<td valign="top" align="center">&#x2212;0.005</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">0.077</td>
<td valign="top" align="center">0.099</td>
<td valign="top" align="center">0.085</td>
<td valign="top" align="center">0.168</td>
<td valign="top" align="center">7.061</td>
</tr>
<tr>
<td valign="top" align="left">COTC</td>
<td valign="top" align="center">&#x2212;0.082</td>
<td valign="top" align="center">0.044</td>
<td valign="top" align="center">0.103</td>
<td valign="top" align="center">0.062</td>
<td valign="top" align="center">0.047</td>
<td valign="top" align="center">3.918</td>
<td valign="top" align="center">4.231</td>
</tr>
<tr>
<td valign="top" align="left">DA</td>
<td valign="top" align="center">&#x2212;0.001</td>
<td valign="top" align="center">0.311</td>
<td valign="top" align="center">0.342</td>
<td valign="top" align="center">0.016</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.106</td>
<td valign="top" align="center">1.043</td>
</tr>
<tr>
<td valign="top" align="left">DM</td>
<td valign="top" align="center">&#x2212;0.002</td>
<td valign="top" align="center">0.18</td>
<td valign="top" align="center">0.283</td>
<td valign="top" align="center">0.028</td>
<td valign="top" align="center">0.013</td>
<td valign="top" align="center">0.146</td>
<td valign="top" align="center">1.843</td>
</tr>
<tr>
<td valign="top" align="left">FPTC</td>
<td valign="top" align="center">&#x2212;0.003</td>
<td valign="top" align="center">0.047</td>
<td valign="top" align="center">0.103</td>
<td valign="top" align="center">0.06</td>
<td valign="top" align="center">0.046</td>
<td valign="top" align="center">0.126</td>
<td valign="top" align="center">4.114</td>
</tr>
<tr>
<td valign="top" align="left">Sa</td>
<td valign="top" align="center">&#x2212;0.004</td>
<td valign="top" align="center">0.014</td>
<td valign="top" align="center">0.077</td>
<td valign="top" align="center">0.092</td>
<td valign="top" align="center">0.078</td>
<td valign="top" align="center">0.141</td>
<td valign="top" align="center">6.466</td>
</tr>
<tr>
<td valign="top" align="left">SSH</td>
<td valign="top" align="center">&#x2212;0.001</td>
<td valign="top" align="center">0.276</td>
<td valign="top" align="center">0.337</td>
<td valign="top" align="center">0.019</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">0.113</td>
<td valign="top" align="center">1.210</td>
</tr>
<tr>
<td valign="top" align="left">SSM</td>
<td valign="top" align="center">&#x2212;0.001</td>
<td valign="top" align="center">0.065</td>
<td valign="top" align="center">0.119</td>
<td valign="top" align="center">0.052</td>
<td valign="top" align="center">0.037</td>
<td valign="top" align="center">0.077</td>
<td valign="top" align="center">3.529</td>
</tr>
<tr>
<td valign="top" align="left">Vi</td>
<td valign="top" align="center">&#x2212;0.001</td>
<td valign="top" align="center">0.357</td>
<td valign="top" align="center">0.357</td>
<td valign="top" align="center">0.013</td>
<td valign="top" align="center">-0.002</td>
<td valign="top" align="center">0.13</td>
<td valign="top" align="center">0.862</td>
</tr>
<tr>
<td valign="top" align="left">VA</td>
<td valign="top" align="center">&#x2212;0.003</td>
<td valign="top" align="center">0.252</td>
<td valign="top" align="center">0.337</td>
<td valign="top" align="center">0.021</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">0.241</td>
<td valign="top" align="center">1.341</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>Raw <italic>p</italic>-values and FDR corrected <italic>p</italic>-values are included. There were no significant findings after FDR correction.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T7">
<label>TABLE 7</label>
<caption><p>This table exhibits results from quadratic regressions for age and network segregation in females.</p></caption>
<table cellspacing="5" cellpadding="5" frame="box" rules="all">
<thead>
<tr>
<td valign="top" align="left" colspan="8" style="color:#ffffff;background-color: #7f8080;">Female quadratic age associations with network segregation</td>
</tr>
<tr>
<td style="color:#ffffff;background-color: #7f8080;"/>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Quadratic &#x03B2; coefficient</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Raw <italic>P</italic>-value</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">FDR corrected <italic>P</italic>-value</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;"><italic>R</italic><sup>2</sup></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Adjusted <italic>R</italic><sup>2</sup></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">Residual std. error (df = 63)</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">F statistic (df = 2; 63)</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Au</td>
<td valign="top" align="center">&#x2212;0.0002</td>
<td valign="top" align="center">0.014</td>
<td valign="top" align="center">0.051</td>
<td valign="top" align="center">0.164</td>
<td valign="top" align="center">0.138</td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">6.202</td>
</tr>
<tr>
<td valign="top" align="left">CBBG</td>
<td valign="top" align="center">&#x2212;0.0003</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.011<xref ref-type="table-fn" rid="t7fns1">&#x002A;</xref></td>
<td valign="top" align="center">0.241</td>
<td valign="top" align="center">0.217</td>
<td valign="top" align="center">0.155</td>
<td valign="top" align="center">10.020</td>
</tr>
<tr>
<td valign="top" align="left">COTC</td>
<td valign="top" align="center">&#x2212;0.002</td>
<td valign="top" align="center">0.391</td>
<td valign="top" align="center">0.430</td>
<td valign="top" align="center">0.073</td>
<td valign="top" align="center">0.044</td>
<td valign="top" align="center">3.925</td>
<td valign="top" align="center">2.482</td>
</tr>
<tr>
<td valign="top" align="left">DA</td>
<td valign="top" align="center">&#x2212;0.0001</td>
<td valign="top" align="center">0.071</td>
<td valign="top" align="center">0.112</td>
<td valign="top" align="center">0.066</td>
<td valign="top" align="center">0.036</td>
<td valign="top" align="center">0.104</td>
<td valign="top" align="center">2.23</td>
</tr>
<tr>
<td valign="top" align="left">DM</td>
<td valign="top" align="center">&#x2212;0.0002</td>
<td valign="top" align="center">0.043</td>
<td valign="top" align="center">0.095</td>
<td valign="top" align="center">0.09</td>
<td valign="top" align="center">0.061</td>
<td valign="top" align="center">0.142</td>
<td valign="top" align="center">3.109</td>
</tr>
<tr>
<td valign="top" align="left">FPTC</td>
<td valign="top" align="center">&#x2212;0.0002</td>
<td valign="top" align="center">0.058</td>
<td valign="top" align="center">0.106</td>
<td valign="top" align="center">0.113</td>
<td valign="top" align="center">0.085</td>
<td valign="top" align="center">0.124</td>
<td valign="top" align="center">4.011</td>
</tr>
<tr>
<td valign="top" align="left">Sa</td>
<td valign="top" align="center">&#x2212;0.0003</td>
<td valign="top" align="center">0.0005</td>
<td valign="top" align="center">0.011<xref ref-type="table-fn" rid="t7fns1">&#x002A;</xref></td>
<td valign="top" align="center">0.255</td>
<td valign="top" align="center">0.232</td>
<td valign="top" align="center">0.129</td>
<td valign="top" align="center">10.806</td>
</tr>
<tr>
<td valign="top" align="left">SSH</td>
<td valign="top" align="center">&#x2212;0.0002</td>
<td valign="top" align="center">0.035</td>
<td valign="top" align="center">0.095</td>
<td valign="top" align="center">0.086</td>
<td valign="top" align="center">0.057</td>
<td valign="top" align="center">0.11</td>
<td valign="top" align="center">2.977</td>
</tr>
<tr>
<td valign="top" align="left">SSM</td>
<td valign="top" align="center">&#x2212;0.0001</td>
<td valign="top" align="center">0.16</td>
<td valign="top" align="center">0.210</td>
<td valign="top" align="center">0.082</td>
<td valign="top" align="center">0.053</td>
<td valign="top" align="center">0.077</td>
<td valign="top" align="center">2.808</td>
</tr>
<tr>
<td valign="top" align="left">Vi</td>
<td valign="top" align="center">&#x2212;0.0001</td>
<td valign="top" align="center">0.172</td>
<td valign="top" align="center">0.210</td>
<td valign="top" align="center">0.042</td>
<td valign="top" align="center">0.012</td>
<td valign="top" align="center">0.129</td>
<td valign="top" align="center">1.393</td>
</tr>
<tr>
<td valign="top" align="left">VA</td>
<td valign="top" align="center">&#x2212;0.0001</td>
<td valign="top" align="center">0.578</td>
<td valign="top" align="center">0.578</td>
<td valign="top" align="center">0.025</td>
<td valign="top" align="center">-0.006</td>
<td valign="top" align="center">0.242</td>
<td valign="top" align="center">0.820</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="t7fns1"><p>Raw <italic>p</italic>-values and FDR corrected <italic>p</italic>-values are included. Asterisks indicate significance at <italic>p</italic> &#x003C; 0.05&#x002A; for FDR corrected values. Only FDR corrected values are interpreted as significant.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="S3" sec-type="results">
<title>3. Results</title>
<sec id="S3.SS1">
<title>3.1. Hormone levels by sex</title>
<p>An ANOVA revealed significant sex differences in testosterone when accounting for age [<italic>F</italic>(1,111) = 79.496, <italic>p</italic> &#x003C; 0.001; <xref ref-type="fig" rid="F1">Figure 1</xref>], that is testosterone levels were significantly lower in females. ANOVAs did not reveal significant sex differences in estradiol or progesterone levels [<italic>F</italic>(1,105) = 3.318, <italic>p</italic> = 0.071, &#x03B7;<sup>2</sup> = 0.031], and [<italic>F</italic>(1,109) = 3.270, <italic>p</italic> = 0.073, &#x03B7;<sup>2</sup> = 0.029], respectively <xref ref-type="fig" rid="F2">Figure 2</xref>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>Linear scatter plots demonstrate estradiol levels in females and males across adulthood. The gray superimposed on each colored line depicts the 95% confidence interval in each sex. Estradiol levels <bold>(left)</bold> were not significantly different by sex when accounting for age (<italic>p</italic> = 0.071). Progesterone levels <bold>(middle)</bold> were not significantly different by sex when accounting for age (<italic>p</italic> = 0.073). Testosterone levels <bold>(right)</bold> were significantly different by sex when accounting for age (<italic>p</italic> &#x003C; 0.001).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fnhum-17-1059091-g002.tif"/>
</fig>
</sec>
<sec id="S3.SS2">
<title>3.2. Network segregation and hormone levels in females</title>
<p>When examining females alone, network segregation was not significantly associated with progesterone, estradiol, or testosterone in females after FDR correction (see <xref ref-type="table" rid="T2">Tables 2</xref>&#x2013;<xref ref-type="table" rid="T4">4</xref>). Similar exploratory analyses were conducted with hormone levels (i.e., estradiol, progesterone, and testosterone; respectively) across participants and in males and all participants (see <xref ref-type="supplementary-material" rid="DS1">Supplementary Tables 1</xref>&#x2013;<xref ref-type="supplementary-material" rid="DS1">3</xref>).</p>
</sec>
<sec id="S3.SS3">
<title>3.3. Interactions between hormone levels and network segregation in females</title>
<p>Regressions evaluating combined effects (interactions) of hormone levels (i.e., Estradiol&#x002A;Progesterone, Estradiol&#x002A;Testosterone, and Progesterone&#x002A;Testosterone) as the predictor and network segregation as the outcome were not significant (see <xref ref-type="table" rid="T5">Table 5</xref>). Similar analyses were conducted in males and all participants (see <xref ref-type="supplementary-material" rid="DS1">Supplementary Tables 12, 13</xref>). Notably, though the 17&#x03B2;-estradiol&#x002A;testosterone interaction was associated with segregation in both the sensory somatomotor hand and mouth networks, these did not survive FDR correction.</p>
</sec>
<sec id="S3.SS4">
<title>3.4. Linear and quadratic associations between age and network segregation</title>
<p>Network segregation was evaluated in females across the adult lifespan with respect to age. Linear regressions with age as the predictor and network segregation as the outcome revealed no significant associations after corrections for multiple comparisons (see <xref ref-type="table" rid="T6">Table 6</xref>).</p>
<p>However, in females, regressions with quadratic age as the predictor and network segregation as the outcome, demonstrated significant associations in the cerebellar-basal ganglia (CBBG) [<italic>F</italic>(2, 63) = 10.020, raw <italic>p</italic> = 0.002, FDR adjusted <italic>p</italic> = 0.011] and salience (Sa) [<italic>F</italic>(2, 63) = 10.806, raw <italic>p</italic> &#x003C; 0.001, FDR adjusted <italic>p</italic> = 0.011] networks (<xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F4">4</xref> and <xref ref-type="table" rid="T7">Table 7</xref>). There were no additional significant associations in network segregation and quadratic age for females or males as revealed in our exploratory analyses (detailed results are presented in <xref ref-type="table" rid="T7">Table 7</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>Scatter plots demonstrate the linear <bold>(left)</bold> and quadratic <bold>(right)</bold> relationship between Cerebellar-basal ganglia network connectivity and age. Parentheses next to quadratic values <bold>(right)</bold> indicate the approximate square root of the quadratic value for interpretative purposes. The gray superimposed on each colored line depicts the 95% confidence interval in each sex.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fnhum-17-1059091-g003.tif"/>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption><p>Scatter plots demonstrate the linear <bold>(left)</bold> and quadratic <bold>(right)</bold> relationship between salience network connectivity and age. Parentheses next to quadratic values <bold>(right)</bold> indicate the approximate square root of the quadratic value for interpretative purposes. The gray superimposed on each colored line depicts the 95% confidence interval in each sex. The quadratic model demonstrated significantly better fit than the linear model for salience network segregation across adulthood (AIC difference = 11.11).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fnhum-17-1059091-g004.tif"/>
</fig>
<p>Comparisons of model fit between linear and quadratic regressions revealed that salience network segregation fits significantly better with a quadratic model as compared to linear in females (AIC difference = 11.11, <xref ref-type="fig" rid="F3">Figure 3</xref>). However, all other comparisons of model fit between linear, and quadratic were not statistically significant (see <xref ref-type="supplementary-material" rid="DS1">Supplementary Table 11</xref>).</p>
</sec>
</sec>
<sec id="S4" sec-type="discussion">
<title>4. Discussion</title>
<p>This study investigated network segregation in aging females in the context of sex steroid hormones. Primarily, we were interested in network segregation in adult females, as sex steroid hormone levels&#x2014;which undergo dramatic changes in females during mid and later life&#x2014;may impact brain network properties. Understanding differences in network segregation in females in the context of aging and hormone levels stands to provide a greater understanding around factors contributing to functional differences in aging, particularly given that older females are at greater risk for negative outcomes in later life (<xref ref-type="bibr" rid="B30">Gao et al., 1998</xref>; <xref ref-type="bibr" rid="B14">Burger, 2008</xref>; <xref ref-type="bibr" rid="B41">Lahousse et al., 2014</xref>; <xref ref-type="bibr" rid="B3">Alzheimer&#x2019;s Association, 2022</xref>). Somewhat surprisingly, we found no significant relationships between sex steroid hormone levels and network segregation levels in adult females. To our knowledge, this is the first study to directly investigate endogenous hormone levels with network segregation and patterns of aging.</p>
<p>In the context of both endogenous hormone levels and exogenous sex hormone treatments, sex hormones have displayed impacts on brain structure and function (e.g., cortical connectivity, subcortical connectivity, and within-network coherence) (<xref ref-type="bibr" rid="B51">Peper et al., 2011</xref>; <xref ref-type="bibr" rid="B63">Taylor et al., 2019</xref>; <xref ref-type="bibr" rid="B53">Pritschet et al., 2020</xref>). Given the notable vacillations in hormone levels during distinct reproductive stages (<xref ref-type="bibr" rid="B23">Diedrichsen, 2006</xref>) and cognitive inefficiencies associated with certain reproductive stages (<xref ref-type="bibr" rid="B33">Greendale et al., 2011</xref>; <xref ref-type="bibr" rid="B26">Epperson et al., 2013</xref>; <xref ref-type="bibr" rid="B67">Weber et al., 2014</xref>; <xref ref-type="bibr" rid="B56">Rentz et al., 2017</xref>; <xref ref-type="bibr" rid="B63">Taylor et al., 2019</xref>; <xref ref-type="bibr" rid="B53">Pritschet et al., 2020</xref>), we expected to find associations between network segregation and hormone levels. However, females did not exhibit significant associations between progesterone, 17&#x03B2;-estradiol, or testosterone and network segregation. These findings are inconsistent with a recent study of network segregation from our group (<xref ref-type="bibr" rid="B6">Ballard et al., 2022c</xref>) which demonstrated some differences with reproductive stage, suggesting hormones may play impact network segregation. That is, female reproductive aging is associated with declines in 17&#x03B2;-estradiol and progesterone (<xref ref-type="bibr" rid="B14">Burger, 2008</xref>; <xref ref-type="bibr" rid="B34">Harlow et al., 2012</xref>; <xref ref-type="bibr" rid="B61">Sundstr&#x00F6;m Poromaa and Gingnell, 2014</xref>) and <xref ref-type="bibr" rid="B6">Ballard et al. (2022c)</xref> demonstrated significant differences between distinct reproductive stages and network segregation (i.e., COTC, DMN, DA, FPTC, and Sa) in females (<xref ref-type="bibr" rid="B6">Ballard et al., 2022c</xref>). Of note, <xref ref-type="bibr" rid="B6">Ballard et al.&#x2019;s (2022c)</xref> findings may be driven by age as they also found linear relationships between age and network segregation in the aforementioned networks. <xref ref-type="bibr" rid="B53">Pritschet et al. (2020)</xref> demonstrated that estradiol is associated with increasing global efficiency in the DMN and DA networks, whereas progesterone was associated with reduced coherence throughout the brain (<xref ref-type="bibr" rid="B53">Pritschet et al., 2020</xref>). While <xref ref-type="bibr" rid="B53">Pritschet et al.&#x2019;s (2020)</xref> findings suggested influences of estradiol and progesterone on network dynamics, it is difficult to directly compare their findings to ours as their study was based on dense sampling in a young female across a menstrual cycle and evaluated a different aspect of network function. However, it broadly demonstrates the purported relationship between brain network organization and sex steroid hormones in the female brain. Although we cannot directly compare our findings with this and other studies, network segregation is a proxy for measuring functional organization in the brain and may loosely be interpreted as such.</p>
<p>Lastly, the combined impact (interaction) of hormone levels (i.e., estradiol, progesterone, and testosterone) on network segregation did not reveal a relationship with network segregation in females. We found interactions between estradiol and testosterone in SSH and SSM networks for raw <italic>p</italic>-values, but these findings did not survive FDR correction. However, this finding agrees with the study by <xref ref-type="bibr" rid="B45">Moffat (2005)</xref>, in which they note that testosterone can interact not only with androgen receptors, but also with estradiol receptors, and therefore, its administration can, in some cases, parallel the effects of estradiol on the entire nervous system. An important element in understanding the effects of testosterone on the nervous system is that many of its behavioral and anatomical effects occur after it has been converted to its metabolically active derivatives&#x2013;estradiol or dihydrotestosterone (<xref ref-type="bibr" rid="B45">Moffat, 2005</xref>).</p>
<p>One consideration beyond the scope of the current study is how stages within a female menstrual cycle or menopausal stage could impact brain connectivity. <xref ref-type="bibr" rid="B62">Syan et al. (2017)</xref> examined endogenous estradiol, progesterone, and a neuroactive metabolite of progesterone (allopregnanolone) at different menstrual phases and demonstrated an impact of hormone levels in the late luteal phase on resting state connectivity in both cortical and subcortical regions for reproductive aged females (<xref ref-type="bibr" rid="B62">Syan et al., 2017</xref>). As mentioned earlier, <xref ref-type="bibr" rid="B53">Pritschet et al. (2020)</xref> exhibited an impact of sex hormones on network architecture in tandem with the cycle of a reproductive aged female. Thus, sex steroid hormones have shown a relationship with brain connectivity as it relates to regular menstrual cycle fluctuation. Individual variation exists both in a regular menstrual cycle and menopausal stages (<xref ref-type="bibr" rid="B27">Fehring et al., 2006</xref>; <xref ref-type="bibr" rid="B34">Harlow et al., 2012</xref>; <xref ref-type="bibr" rid="B12">Boker et al., 2014</xref>). Notably, hormone levels are not the sole indicator for identifying distinct reproductive stages. Seminal work in categorizing stages in reproductive aging described principal criteria for determining reproductive stage by changes in cycle regularity and days to years since last cycle (<xref ref-type="bibr" rid="B34">Harlow et al., 2012</xref>). Endocrine information such as follicle stimulating hormones, antimullerian hormone, and inhibin-B are used to support categorization by changes in cycle (<xref ref-type="bibr" rid="B34">Harlow et al., 2012</xref>). We did not examine menstrual cycle, the above specified endocrine information, menopausal stage, or within individual hormone variance in this investigation. As such, the nature of our analyses and scope of our study may not capture the complexity of female network segregation.</p>
<p>In the context of aging, females did display a significant quadratic relationship between age and network segregation for the CBBG and Sa networks. In both cases, segregation was still increasing through adulthood and highest in midlife with a downturn thereafter. Patterns of connectivity between the cerebellum and basal ganglia have been positively linked to cognitive performance and self-reported balance confidence in older adults (<xref ref-type="bibr" rid="B52">Power et al., 2011</xref>; <xref ref-type="bibr" rid="B8">Bernard and Seidler, 2013</xref>). Further, in their review <xref ref-type="bibr" rid="B24">Diedrichsen et al. (2009) (Diedrichsen, 2006</xref>) implicated the relationship between the cerebellum and basal ganglia as critical for modulating cortical functions such as cognition and relying on subcortical processes. We can see in <xref ref-type="fig" rid="F3">Figure 3</xref>, that both females and males demonstrate an inverted &#x201C;U-shaped&#x201D; decline in CBBG network segregation across the span of aging adults. Functionally this pattern in females may be related to the drop in cognition and decreased balance that females experience above and beyond males in aging (<xref ref-type="bibr" rid="B14">Burger, 2008</xref>; <xref ref-type="bibr" rid="B53">Pritschet et al., 2020</xref>), though we should note that this is speculative as we did not include any behavioral analyses here.</p>
<p>The quadratic age relationship with Sa network segregation in females was somewhat consistent with work from <xref ref-type="bibr" rid="B18">Chan et al. (2014)</xref>, where they showed a significant quadratic age relationship across female and male participants in &#x201C;association systems&#x201D; which included the Sa network, but was aggregated with DMN, FPTC, VA, COTC, and DA (<xref ref-type="bibr" rid="B18">Chan et al., 2014</xref>). The Sa network has been associated with &#x201C;conscious integration of autonomic feedback and responses with internal goals and environmental demands&#x201D; (<xref ref-type="bibr" rid="B68">Weis et al., 2008</xref>). This network has also been conceptualized as an &#x201C;integral hub&#x201D; for facilitating communication between the DMN and central executive networks in a triple network model (<xref ref-type="bibr" rid="B65">Van Goozen et al., 1995</xref>). Notably, dysfunction in the Sa network has been linked to reduced cognitive performance in older adults (<xref ref-type="bibr" rid="B25">Dimech et al., 2019</xref>) and increased connectivity in this network has been linked to Alzheimer&#x2019;s disease (<xref ref-type="bibr" rid="B46">Morrison et al., 2006</xref>). The quadratic relationship seen in females, but not males (see <xref ref-type="fig" rid="F3">Figure 3</xref>), could similarly be highlighting cognitive inefficiencies that have been demonstrated during advanced aging in females (<xref ref-type="bibr" rid="B53">Pritschet et al., 2020</xref>).</p>
<p>It is important to emphasize that we did not find significant quadratic age relationships in any additional networks for females, nor any networks in males in our exploratory analyses. These findings are consistent with <xref ref-type="bibr" rid="B42">Lee et al. (2016)</xref> study that examined rs-fMRI graph network analysis in the DMN, Sa, and Central Executive network and a quadratic age relationship in both groups of &#x201C;good&#x201D; and &#x201C;poor&#x201D; cognitive performers (<xref ref-type="bibr" rid="B42">Lee et al., 2016</xref>). While <xref ref-type="bibr" rid="B42">Lee et al. (2016)</xref> assessed components of both network segregation and network integration (i.e., global efficiency, local efficiency, betweenness centrality, connectivity strength, and nodal degree), their analyses notably varied from ours in that they controlled for gender (<xref ref-type="bibr" rid="B42">Lee et al., 2016</xref>). That is, the relationship between quadratic age and segregation in certain networks may be driven by inherent hormonal differences between sexes, but as gender was controlled for in their study that relationship was left unexplored (<xref ref-type="bibr" rid="B42">Lee et al., 2016</xref>). Thus, the methodological differences may explain the differences in outcomes relative to what we report here.</p>
<p>Comparisons of model fit demonstrated the quadratic model as a substantially better fit for Sa network segregation and age in females; however, no additional quadratic age models displayed a significantly better fit in our analyses. To our knowledge, associations between quadratic age and network segregation have not been otherwise evaluated or reported. We would suggest that this may be a useful area of investigation in future work. We did not, however, find linear relationships between age and network segregation when examining females or males after FDR correction. Similarly, <xref ref-type="bibr" rid="B32">Grady et al. (2016)</xref>, did not see linear relationships with age and network segregation, although their examination was specific to the DMN, DA, and FPTC networks (<xref ref-type="bibr" rid="B32">Grady et al., 2016</xref>). As stated, earlier <xref ref-type="bibr" rid="B18">Chan et al. (2014)</xref> found a significant quadratic age relationship in association systems (<xref ref-type="bibr" rid="B18">Chan et al., 2014</xref>); however, these systems were also significantly linearly associated with age. The same study also revealed linear age relationships with network segregation in &#x201C;sensory-motor systems&#x201D; which aggregated Hand somato-motor, Visual, Mouth somato-motor, and Auditory within-network segregations (<xref ref-type="bibr" rid="B37">Hausmann, 2005</xref>). While we did not replicate <xref ref-type="bibr" rid="B18">Chan et al.&#x2019; (2014</xref>) findings, we also did not aggregate networks for analysis in the same fashion. Further there are also differences in the data used for analyses with respect to both sample size and length of scans. That is, their sample size was twice as large as our study and scan length was about 5 min per participant. Of note, our approach to data collection (guided by recent scientific advancement and literature) often produces more reliable data (<xref ref-type="bibr" rid="B50">Pannunzi et al., 2017</xref>) as we collected 24 total minutes of resting state scans, alternating from anterior to posterior slice collection. Thus, <xref ref-type="bibr" rid="B18">Chan et al.&#x2019; (2014</xref>) investigation of network segregation in sensory-motor systems may not be appropriate for drawing direct comparisons to our data given methodological advancements in recent years resulting in differences in data collection parameters. Additional studies evaluating linear and quadratic relationships by sex are warranted, particularly with larger samples that include longer resting state acquisition times such as that used here.</p>
<p>Overall, we found quadratic age relationships for females in CBBG and Sa network segregation. We did not find significant impacts of individual or combined hormone levels on within-network segregation in the networks of interest. Future research would benefit from examining inter-individual differences over time to gain more insight into subtle influences of endogenous hormones. Another relevant area of research would be examining individual differences of network segregation over time in those taking hormonal contraceptives or receiving hormone replacement therapy to better understand the dynamic interplay between sex steroid hormones and brain network organization.</p>
<sec id="S4.SS1">
<title>4.1. Limitations</title>
<p>There are several limitations relevant to the present investigation. Namely, the variability and collection of hormone assays and the cross-sectional nature of these data. It is important to recognize that hormone levels can vary almost as much within a naturally cycling female as they can between naturally cycling females (<xref ref-type="bibr" rid="B27">Fehring et al., 2006</xref>; <xref ref-type="bibr" rid="B8">Bernard and Seidler, 2013</xref>). Furthermore, the hormone assay was collected on a different day than the scan as freezing the sample at a particular temperature is required immediately, and our study design incorporated a delay to allow for additional measures of activity and questionnaire completion (not related to the research questions presented here). The large variance of hormone levels within a cycle implies that levels could change in a matter of days for reproductive age females. Thus, given the age range of our female sample, the offset between the hormone sample and the scan may impact these relationships for those that still have regular menstrual cycles. While this is only a small subset of this sample, it is an important limitation, nonetheless. Hormone levels vary within and between naturally cycling females so examining sex hormone levels in the same participant over time would account for some individual variance in hormone fluctuations. Regarding menopause, our study did ask about participant start date of menopause (date of final menstrual period) with additional questions to help categorize menopausal stages. That is, all participants completed 6-month menstrual diaries after undergoing the brain imaging session. The impact of menopausal stage is a question of interest for us, and indeed we have studied this recently (<xref ref-type="bibr" rid="B7">Ballard et al., 2022b</xref>). However, sex hormone levels have been directly associated with menopausal stages (<xref ref-type="bibr" rid="B15">Burger et al., 2007</xref>) and we are interested in the variability in hormone levels more generally, as this also provides a quantitative measure, as opposed to self-report menstrual cycle information. Regarding obstetrics history, we do not have that information for this sample, although the literature suggests that parity has been positively related to brain volume in aging females (<xref ref-type="bibr" rid="B20">de Lange et al., 2019</xref>). Several females who had undergone hysterectomy were included in the study, but the surgeries were dated over 10 years prior to enrollment in the study. As such, it was assumed that hormones had reached a stable low. Another notable limitation is our sex hormone analyses did not account for age. This was intentional as preliminary analyses demonstrated age was significantly correlated with female estradiol and progesterone (<italic>p</italic> &#x003C; 0.01) and testosterone maintains a relatively consistent level throughout for mid- to older- age females (<xref ref-type="bibr" rid="B4">Andersen et al., 2011</xref>). Thus, incorporating age into hormone-based analyses would account for very similar variance to sex hormone levels. Sleep patterns have also demonstrated a relationship with sex hormone levels (<xref ref-type="bibr" rid="B43">Li et al., 2015</xref>; <xref ref-type="bibr" rid="B13">Brown and Gervais, 2022</xref>). Indeed, we do find this aspect important to investigate and it has been explored by proxy with this sample in the context of reproductive stages (<xref ref-type="bibr" rid="B7">Ballard et al., 2022b</xref>). Lastly, our sample size was relatively small in relation to the number of analyses conducted. With this in mind, we were very targeted in our analyses and applied a correction for multiple comparisons (FDR correction). However, replication of this study in a larger sample is warranted.</p>
</sec>
</sec>
<sec id="S5" sec-type="conclusion">
<title>5. Conclusion</title>
<p>This study demonstrated a quadratic relationship between aging and network segregation for the CBBG and Sa networks in females. In both cases, segregation was still increasing through adulthood and highest in midlife with a downturn thereafter. These networks are functionally related to cognitive performance, balance, and integrating autonomic feedback in response to environmental demands (<xref ref-type="bibr" rid="B8">Bernard and Seidler, 2013</xref>; <xref ref-type="bibr" rid="B18">Chan et al., 2014</xref>; <xref ref-type="bibr" rid="B36">Hausman et al., 2020</xref>).</p>
<p>Prior research has shown that the sex hormones can regulate neurogenesis, inflammatory processes, impact network segregation, and may also play a role in regulating cognitive and affective processes, mainly in the aging process (<xref ref-type="bibr" rid="B62">Syan et al., 2017</xref>; <xref ref-type="bibr" rid="B29">Foo et al., 2021</xref>). Furthermore, the notable variability in hormone levels in certain reproductive stages and cognitive deficits associated with specific reproductive stages did not have an impact on network segregation as was expected (<xref ref-type="bibr" rid="B33">Greendale et al., 2011</xref>; <xref ref-type="bibr" rid="B26">Epperson et al., 2013</xref>; <xref ref-type="bibr" rid="B67">Weber et al., 2014</xref>; <xref ref-type="bibr" rid="B56">Rentz et al., 2017</xref>; <xref ref-type="bibr" rid="B63">Taylor et al., 2019</xref>; <xref ref-type="bibr" rid="B53">Pritschet et al., 2020</xref>).</p>
<p>Future studies could focus on examining participants longitudinally and pairing these types of data with behavioral outcomes.</p>
</sec>
<sec id="S6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="S7" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The studies involving human participants were reviewed and approved by the Texas A&#x0026;M Institutional Review Board. The patients/participants provided their written informed consent to participate in this study.</p>
</sec>
<sec id="S8" sec-type="author-contributions">
<title>Author contributions</title>
<p>TH, HB, TJ, and SC completed the data collection. TH, TM, HB, and TJ conducted the data analyses under the guidance and supervision of JAB. TH and TM drafted the manuscript with input from all authors and again under the guidance of JAB. All authors contributed to the conceptualization of this project.</p>
</sec>
</body>
<back>
<sec id="S9" sec-type="funding-information">
<title>Funding</title>
<p>This work was supported by R01AG065010 to JAB. This work was further supported by the Texas Virtual Data Library (ViDaL), a high-performance cluster, funded by the Texas A&#x0026;M University Research Development fund. In this cluster, the imaging analyses for the current work were carried out using the resources provided by the Texas A&#x0026;M High Performance Research Computing organization.</p>
</sec>
<sec id="S10" sec-type="COI-statement">
<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.</p>
</sec>
<sec id="S11" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
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<sec id="S12" sec-type="supplementary-material">
<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/fnhum.2023.1059091/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fnhum.2023.1059091/full#supplementary-material</ext-link></p>
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<fn-group>
<fn id="footnote1">
<label>1</label>
<p><ext-link ext-link-type="uri" xlink:href="https://salimetrics.com/saliva-collection-training-videos/">https://salimetrics.com/saliva-collection-training-videos/</ext-link></p></fn>
<fn id="footnote2">
<label>2</label>
<p><ext-link ext-link-type="uri" xlink:href="https://salimetrics.com/analyte/salivary-estradiol/">https://salimetrics.com/analyte/salivary-estradiol/</ext-link></p></fn>
<fn id="footnote3">
<label>3</label>
<p><ext-link ext-link-type="uri" xlink:href="https://github.com/jmtyszka/bidskit">https://github.com/jmtyszka/bidskit</ext-link></p></fn>
<fn id="footnote4">
<label>4</label>
<p><ext-link ext-link-type="uri" xlink:href="https://fmriprep.org/">https://fmriprep.org/</ext-link></p></fn>
</fn-group>
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