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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Psychol.</journal-id>
<journal-title>Frontiers in Psychology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Psychol.</abbrev-journal-title>
<issn pub-type="epub">1664-1078</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpsyg.2023.1210652</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Psychology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Different topological patterns in structural covariance networks between high and low delay discounters</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Jung</surname>
<given-names>Wi Hoon</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="c001" ref-type="corresp"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/61292/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Kim</surname>
<given-names>Euitae</given-names>
</name>
<xref rid="aff2" ref-type="aff"><sup>2</sup></xref>
<xref rid="aff3" ref-type="aff"><sup>3</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/907127/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Psychology, Gachon University</institution>, <addr-line>Seongnam</addr-line>, <country>Republic of Korea</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Psychiatry, Seoul National University College of Medicine</institution>, <addr-line>Seoul</addr-line>, <country>Republic of Korea</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Brain and Cognitive Sciences, Seoul National University College of Natural Sciences</institution>, <addr-line>Seoul</addr-line>, <country>Republic of Korea</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0004"><p>Edited by: Mrinalini Srivastava, Indian Institute of Technology Delhi, India</p></fn>
<fn fn-type="edited-by" id="fn0005"><p>Reviewed by: Khushboo Raina, Lal Bahadur Shastri Institute of Management, India; Bahman Sadeghi, Virginia Tech, United States</p></fn>
<corresp id="c001">&#x002A;Correspondence: Wi Hoon Jung, <email>jwhnavy@gmail.com</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>30</day>
<month>08</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>14</volume>
<elocation-id>1210652</elocation-id>
<history>
<date date-type="received">
<day>23</day>
<month>04</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>18</day>
<month>08</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2023 Jung and Kim.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Jung and Kim</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>
<sec id="sec101">
<title>Introduction</title>
<p>People prefer immediate over future rewards because they discount the latter&#x2019;s value (a phenomenon termed &#x201C;delay discounting,&#x201D; used as an index of impulsivity). However, little is known about how the preferences are implemented in brain in terms of the coordinated pattern of large-scale structural brain networks.</p>
</sec>
<sec id="sec102">
<title>Methods</title>
<p>To examine this question, we classified high discounting group (HDG) and low discounting group (LDG) in young adults by assessing their propensity for intertemporal choice. We compared global and regional topological properties in gray matter volume-based structural covariance networks between two groups using graph theoretical analysis.</p>
</sec>
<sec id="sec103">
<title>Results</title>
<p>HDG had less clustering coefficient and characteristic path length over the wide sparsity range than LDG, indicating low network segregation and high integration. In addition, the degree of small-worldness was more significant in HDG. Locally, HDG showed less betweenness centrality (BC) in the parahippocampal gyrus and amygdala than LDG.</p>
</sec>
<sec id="sec104">
<title>Discussion</title>
<p>These findings suggest the involvement of structural covariance network topology on impulsive choice, measured by delay discounting, and extend our understanding of how impulsive choice is associated with brain morphological features.</p>
</sec>
</abstract>
<kwd-group>
<kwd>delay discounting</kwd>
<kwd>graph theoretical analysis</kwd>
<kwd>impulsivity</kwd>
<kwd>intertemporal choice task</kwd>
<kwd>structural covariance network</kwd>
</kwd-group>
<counts>
<fig-count count="4"/>
<table-count count="1"/>
<equation-count count="2"/>
<ref-count count="74"/>
<page-count count="10"/>
<word-count count="7913"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Decision Neuroscience</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<title>Introduction</title>
<p>Impulsivity is a complex and multidimensional concept that refers to the tendency to act without considering the potential negative consequences or long-term effects of those actions and inability to inhibit inappropriate behaviors (<xref ref-type="bibr" rid="ref52">Patton et al., 1995</xref>; <xref ref-type="bibr" rid="ref67">Whiteside and Lynam, 2001</xref>; <xref ref-type="bibr" rid="ref55">Reynolds et al., 2006</xref>). Because of its multifaceted nature, impulsivity plays a significant role in numerous psychiatric disorders, such as personality disorders, behavioral disorders, substance use disorders, and bipolar disorder (<xref ref-type="bibr" rid="ref50">Moeller et al., 2001</xref>; <xref ref-type="bibr" rid="ref8">Berlin and Hollander, 2014</xref>). In these conditions, individuals exhibit different impulsive behaviors that can have detrimental effects on their lives and well-being.</p>
<p>Impulsivity can be assessed using self-report questionnaires and by behavioral tasks. One commonly used self-report questionnaire is the Barratt Impulsiveness Scale. Factor analysis of this scale has indicated a three-factor structure, which includes attentional impulsiveness (reduced attention), motor impulsiveness (increased motor activation), and non-planning impulsiveness (decreased planning) (<xref ref-type="bibr" rid="ref52">Patton et al., 1995</xref>). In addition to self-report measures, behavioral tasks like the intertemporal choice task, also known as a delay discounting (DD) task, are commonly used to assess impulsivity, particularly impulsive choice. This task involves making choices between smaller-but-immediate and larger-but-delayed rewards (<xref ref-type="bibr" rid="ref37">Kable and Glimcher, 2007</xref>). Because impulsivity and reward-seeking are closely linked (<xref ref-type="bibr" rid="ref20">Donohew et al., 2000</xref>; <xref ref-type="bibr" rid="ref67">Whiteside and Lynam, 2001</xref>), impulsive individuals are more prone to engaging in reward-seeking behaviors without considering potential long-term effects. Thus, the immediate gratification associated with reward-seeking behaviors can be appealing to impulsive individuals, leading them to prioritize short-term gains over long-term benefits. The DD task measures such people&#x2019;s preference (called the DD rate) for smaller-but-immediate rewards over larger-but-delayed rewards, and the DD rate is used as behavior index of impulsivity (<xref ref-type="bibr" rid="ref37">Kable and Glimcher, 2007</xref>; <xref ref-type="bibr" rid="ref42">Levitt et al., 2020</xref>).</p>
<p>Understanding individual differences in the DD rate is important because it is associated with various real-life consequences (<xref ref-type="bibr" rid="ref11">Chabris et al., 2008</xref>; <xref ref-type="bibr" rid="ref47">Madden and Bickel, 2010</xref>; <xref ref-type="bibr" rid="ref42">Levitt et al., 2020</xref>). For instance, higher discounting rates are associated with drug use (<xref ref-type="bibr" rid="ref39">Kirby and Petry, 2004</xref>) and obesity (<xref ref-type="bibr" rid="ref22">Fields et al., 2013</xref>) and are observed in a variety of psychiatric disorders (e.g., addiction, attention-deficit hyperactivity disorder, bipolar disorder, and schizophrenia; <xref ref-type="bibr" rid="ref3">Ahn et al., 2011</xref>; <xref ref-type="bibr" rid="ref61">Story et al., 2016</xref>). By contrast, low discounting rates are linked to academic achievement (<xref ref-type="bibr" rid="ref40">Kirby et al., 2005</xref>). Therefore, investigating the neural mechanism underlying DD using a neuroeconomic approach may predict future impulsive and addictive behaviors and a potential target for effective interventions to reduce such behaviors and symptoms.</p>
<p>Over the last two decades, functional neuroimaging studies have identified multiple brain areas activated in the intertemporal choice (<xref ref-type="bibr" rid="ref38">Kable and Glimcher, 2009</xref>; <xref ref-type="bibr" rid="ref54">Peters and B&#x00FC;chel, 2009</xref>; <xref ref-type="bibr" rid="ref13">Chen et al., 2019a</xref>). These brain areas include the ventral striatum, ventromedial prefrontal cortex, and posterior cingulate cortex, where neural activity encodes the subjective value (<italic>SV</italic>) of given options during the task (<xref ref-type="bibr" rid="ref37">Kable and Glimcher, 2007</xref>; <xref ref-type="bibr" rid="ref6">Bartra et al., 2013</xref>; <xref ref-type="bibr" rid="ref17">Clithero and Rangel, 2014</xref>). In addition, activity in the lateral prefrontal cortex and medial temporal areas involved in choosing options based on <italic>SV</italic> and in imaging future outcomes were also observed (<xref ref-type="bibr" rid="ref5">Ballard and Knutson, 2009</xref>; <xref ref-type="bibr" rid="ref38">Kable and Glimcher, 2009</xref>; <xref ref-type="bibr" rid="ref54">Peters and B&#x00FC;chel, 2009</xref>; <xref ref-type="bibr" rid="ref23">Figner et al., 2010</xref>; <xref ref-type="bibr" rid="ref41">Lebreton et al., 2013</xref>). Consistent with these neurofunctional findings, anatomical neuroimaging studies have shown the association between DD and brain morphology (e.g., gray matter [GM] volume and cortical thickness) in these abovementioned areas, such as the striatum, medial prefrontal and temporal regions, and lateral prefrontal cortex (<xref ref-type="bibr" rid="ref9">Bjork et al., 2009</xref>; <xref ref-type="bibr" rid="ref19">Dombrovski et al., 2012</xref>; <xref ref-type="bibr" rid="ref15">Cho et al., 2013</xref>; <xref ref-type="bibr" rid="ref41">Lebreton et al., 2013</xref>; <xref ref-type="bibr" rid="ref63">Wang et al., 2016</xref>; <xref ref-type="bibr" rid="ref51">Owens et al., 2017</xref>). Therefore, it is suggested that functional and anatomical differences in these areas are associated with individual differences in DD.</p>
<p>Covariance in GM morphology between different brain areas may be a powerful tool for inferring large-scale structural brain networks. Structural covariance patterns between different regions are similar to functional connectivity (<xref ref-type="bibr" rid="ref74">Zielinski et al., 2010</xref>; <xref ref-type="bibr" rid="ref71">Yun et al., 2020</xref>). This similarity suggests that coordinated covariance in brain morphology reflects developmental coordination between areas (<xref ref-type="bibr" rid="ref4">Alexander-Bloch et al., 2013</xref>). More recently, using graph theoretical network analysis (which characterizes the network&#x2019;s topological properties) investigations have reported that the topology of structural covariance networks follows small-world network properties (<xref ref-type="bibr" rid="ref28">He et al., 2008</xref>; <xref ref-type="bibr" rid="ref72">Zhang et al., 2012</xref>). These networks are characterized by high clustering (local segregation) and low path length (global integration) among nodes (i.e., brain areas) in the network (<xref ref-type="bibr" rid="ref66">Watts and Strogatz, 1998</xref>).</p>
<p>Furthermore, studies have demonstrated disrupted small-world topology in the structural covariance networks in various neurologic or psychiatric disorders, including Alzheimer&#x2019;s disease (<xref ref-type="bibr" rid="ref28">He et al., 2008</xref>), schizophrenia (<xref ref-type="bibr" rid="ref72">Zhang et al., 2012</xref>), and OCD (<xref ref-type="bibr" rid="ref71">Yun et al., 2020</xref>). Based on these findings, graph theoretical analysis in conjunction with structural covariance networks may provide novel insights into neural mechanisms underlying DD (i.e., impulsive behavior) at the network level. No studies so far have investigated differences in the topology of the structural covariance networks based on GM morphology according to the discounting rate, while a few studies have investigated the relationship between DD and the topological properties of networks generated from functional connectivity or structural connectivity derived from diffusion tensor imaging (DTI) (<xref ref-type="bibr" rid="ref12">Chen et al., 2018</xref>; <xref ref-type="bibr" rid="ref64">Wang et al., 2021a</xref>).</p>
<p>Therefore, we investigated differences in the topological organization of GM volume-based structural covariance networks between two groups discriminated in terms of high and low discounting rates in the intertemporal choice using graph theoretical analysis. Among the coordinated patterns of brain morphology (i.e., graph theoretical metrics estimated from GM volume-based structural covariance networks), we especially expected that there would be differences in small-world parameters that reflect a balance between information segregation and integration between brain regions, and in nodal betweenness centrality (BC) that indicates the relative importance of a node in the network. To address this issue, several global network parameters (small-world parameters including clustering coefficient, characteristic path length, and small-worldness) were computed to quantify small-world structure in the network (<xref ref-type="bibr" rid="ref66">Watts and Strogatz, 1998</xref>). In addition, we calculated the BC as a regional (nodal) network parameter to quantify the relative importance for each of nodes and is used to identify a hub that acts as a bridge between nodes in the network (<xref ref-type="bibr" rid="ref24">Freeman, 1977</xref>; <xref ref-type="bibr" rid="ref28">He et al., 2008</xref>).</p>
</sec>
<sec sec-type="methods" id="sec2">
<title>Methods</title>
<sec id="sec3">
<title>Participants</title>
<p>Participants involved in the current study were recruited as part of the Psychological and Neural Mechanisms for Predicting Academic Achievement (PNMPAA) study. For the PNMPAA study, participants were asked to fill out a series of surveys (topics included their achievement goals, motivation, time perspectives, and personality traits), performed choice behavior tasks, and underwent brain scans. During some cognitive tasks, the scanning session consisted of high-resolution T1-weighted anatomical MRI, resting-state fMRI, DTI, and fMRI. In this study, we used T1 data to examine whether there are any differences in topological properties of GM-based structural covariance networks between the high (HDG) and low discounting groups (LDG). All participants in the present study were young, healthy adults who had normal or corrected-to-normal vision and no significant medical illness. They gave written informed consent before participation. All study procedures were approved by the Institutional Review Board of Gachon University (IRB number: 1044396-202203-HR-056-01). All methods were performed in accordance with the relevant guidelines and regulations.</p>
<p>Of the entire cohort (<italic>N</italic>&#x2009;=&#x2009;115) collected to date, 73 completed both the DD task and brain scans. Two individuals out of 73 were excluded because of (i) data missing (<italic>n</italic>&#x2009;=&#x2009;1) and (ii) low data quality (<italic>n</italic>&#x2009;=&#x2009;1). We split participants at the median <italic>k</italic> value into two groups of high (<italic>n</italic>&#x2009;=&#x2009;35) and low (<italic>n</italic>&#x2009;=&#x2009;35) discounters after excluding one individual who scored the median value. Therefore, 70 participants were used in the final analysis (<xref rid="tab1" ref-type="table">Table 1</xref>).</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Demographic and behavioral data.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variables</th>
<th align="center" valign="top">High discounters</th>
<th align="center" valign="top">Low discounters</th>
<th align="center" valign="top"><italic>t</italic> or <italic>&#x03C7;<sup>2</sup></italic></th>
<th align="center" valign="top"><italic>p</italic></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Age (years)</td>
<td align="center" valign="middle">21.943&#x2009;&#x00B1;&#x2009;2.920</td>
<td align="center" valign="middle">22.057&#x2009;&#x00B1;&#x2009;2.555</td>
<td align="left" valign="middle">&#x2212;0.174</td>
<td align="center" valign="middle">0.862</td>
</tr>
<tr>
<td align="left" valign="middle">Sex (male/female)</td>
<td align="center" valign="middle">21/14</td>
<td align="center" valign="middle">18/17</td>
<td align="left" valign="middle">0.521</td>
<td align="center" valign="middle">0.470</td>
</tr>
<tr>
<td align="left" valign="middle">Education (years)</td>
<td align="center" valign="middle">14.800&#x2009;&#x00B1;&#x2009;1.132</td>
<td align="center" valign="middle">15.286&#x2009;&#x00B1;&#x2009;1.447</td>
<td align="left" valign="middle">&#x2212;1.564</td>
<td align="center" valign="middle">0.122</td>
</tr>
<tr>
<td align="left" valign="middle">Discounting rate (<italic>k</italic>)</td>
<td align="center" valign="middle">0.029&#x2009;&#x00B1;&#x2009;0.022</td>
<td align="center" valign="middle">0.006&#x2009;&#x00B1;&#x2009;0.003</td>
<td align="left" valign="middle">6.193</td>
<td align="center" valign="middle">p&#x2009;&#x003C;&#x2009;0.001</td>
</tr>
<tr>
<td align="left" valign="middle">Total intracranial volume (mm<sup>3</sup>)</td>
<td align="center" valign="middle">1584.088&#x2009;&#x00B1;&#x2009;163.212</td>
<td align="center" valign="middle">1546.765&#x2009;&#x00B1;&#x2009;138.138</td>
<td align="left" valign="middle">1.033</td>
<td align="center" valign="middle">0.305</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Values are presented as mean&#x2009;&#x00B1;&#x2009;standard deviation.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec4">
<title>Task</title>
<p>The task displayed monetary amounts in KRW (&#x20A9;). Participants were asked to make a series of 120 choices between a smaller-immediate reward, fixed at &#x20A9;10,000 now for all trials, and a variable larger-delayed reward (<xref rid="fig1" ref-type="fig">Figure 1A</xref>). The magnitude of the larger-delayed reward ranged from &#x20A9;11,000 to &#x20A9;48,000, and the delay varied from 2 to 180&#x2009;days. Discounting rates (<italic>k</italic>) were estimated by fitting logistic regressions that assume an individual&#x2019;s decisions are a stochastic function of the difference in <italic>SV</italic> between given two options. In other words, a logistic choice rule was used to compute the probability of choosing options as a function of the difference in the <italic>SV</italic> of two choice options on each trial as follows:</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Intertemporal choice task and structural covariance networks. <bold>(A)</bold> Examples of task trials. Participants chose between a smaller-immediate reward (10,000 won now) and a larger-delayed reward (17,000 won in 24&#x2009;days). <bold>(B)</bold> The AAL atlas used to segment the brain into 90 nodes. <bold>(C)</bold> The 90 by 90 correlation matrices for the HDG (left column) and LDG (right column). The color bar indicates the Pearson correlation coefficient on the matrices. <bold>(D)</bold> Binarized matrices thresholded at 0.25 sparsity. The correlation matrices of <bold>(C)</bold> were thresholded into the binarized matrices with a wide range of sparsity (0.25&#x2013;0.53, with an interval of 0.01). HDG, high discounting group; LDG, low discounting group.</p>
</caption>
<graphic xlink:href="fpsyg-14-1210652-g001.tif"/>
</fig>
<disp-formula id="E1">
<mml:math id="M1">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
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<mml:mo>(</mml:mo>
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<mml:mi>S</mml:mi>
<mml:mi>V</mml:mi>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
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<p>where <italic>P</italic><sub>1</sub> refers to the probability that the participant chose the delayed option, and <italic>P</italic><sub>2</sub> refers to the probability that the participant chose the immediate option. <italic>SV1</italic> and <italic>SV2</italic> refer to the participant&#x2019;s estimated subjective value of the delayed and the immediate options, respectively. <italic>&#x03B2;</italic> was used as a scaling factor and was fitted for each subject. Keeping with standard behavioral findings (<xref ref-type="bibr" rid="ref49">Mazur, 1987</xref>; <xref ref-type="bibr" rid="ref37">Kable and Glimcher, 2007</xref>), we assume that <italic>SV</italic> is a hyperbolic function of the reward amount (<italic>A</italic>) and delay (<italic>D</italic>): <italic>SV</italic>&#x2009;=&#x2009;<italic>A</italic>/(1&#x2009;+&#x2009;<italic>kD</italic>), where <italic>k</italic> is the participant&#x2019;s discount rate. Larger <italic>k</italic> values represent a greater degree of discounting future rewards. The <italic>k</italic> was log-transformed to normalize the distribution before statistical analyses.</p>
</sec>
<sec id="sec5">
<title>Image acquisition and preprocessing</title>
<p>All imaging data were acquired on a 3&#x2009;T Trio MRI scanner (Siemens, Erlangen, Germany). High-resolution T1-weighted anatomical images were obtained using a 3D magnetization-prepared rapid-gradient echo (MPRAGE) sequence (repetition time [TR]&#x2009;=&#x2009;1,900&#x2009;ms, echo time [TE]&#x2009;=&#x2009;2.52&#x2009;ms, flip angle [FA]&#x2009;=&#x2009;9&#x00B0;, voxel size&#x2009;=&#x2009;1.0&#x2009;&#x00D7;&#x2009;1.0&#x2009;&#x00D7;&#x2009;1.0&#x2009;mm<sup>3</sup>, 192 sagittal slices). Other image parameters unrelated to the present study are not described here.</p>
<p>Image preprocessing was conducted using the Computational Anatomy Toolbox (CAT<xref rid="fn0001" ref-type="fn"><sup>1</sup></xref>) for SPM12<xref rid="fn0002" ref-type="fn"><sup>2</sup></xref> with default options. First, all structural images were segmented into GM, white matter (WM), and cerebrospinal fluid images. Then, high-dimension DARTEL normalization was applied to normalize and modulate the GM images (voxel size&#x2009;=&#x2009;1.5&#x2009;&#x00D7;&#x2009;1.5&#x2009;&#x00D7;&#x2009;1.5&#x2009;mm<sup>3</sup>).</p>
</sec>
<sec id="sec6">
<title>Structural covariance network construction</title>
<p>The Automated Anatomical Labeling (AAL; <xref ref-type="bibr" rid="ref62">Tzourio-Mazoyer et al., 2002</xref>) atlas was used to segment the brain into 90 cortical and subcortical regions (45 per hemisphere; <xref rid="fig1" ref-type="fig">Figure 1B</xref>) as nodes in the network. Regional GM volumes of each area were extracted during the CAT preprocessing. First, we regressed age, sex, education, and total intracranial volume (TIV) effects on GM volumes by linear regression analysis (<xref ref-type="bibr" rid="ref27">He et al., 2007</xref>). We then performed Pearson correlations between the corrected GM volumes to construct a 90&#x2009;&#x00D7;&#x2009;90 correlation matrix for each group (<xref rid="fig1" ref-type="fig">Figure 1C</xref>). Only positive correlations of the matrix were considered as edges (i.e., connections). Negative correlations were assigned a zero value before subsequent network analysis (<xref ref-type="bibr" rid="ref73">Zhang et al., 2019</xref>). Then, the correlation matrix was binarized with a fixed sparsity threshold to ensure that both groups had the same number of edges on the binarized network (<xref rid="fig1" ref-type="fig">Figure 1D</xref>). As there is not a gold standard to select a single threshold, we used a wide range of sparsity thresholds (0.25&#x2013;0.53, with an interval of 0.01). The sparsity threshold range was selected to allow for a small-world regime in the brain networks of both groups; that is, the small-worldness (&#x03C3;) of the threshold networks was greater than 1 (<xref ref-type="bibr" rid="ref66">Watts and Strogatz, 1998</xref>; <xref ref-type="bibr" rid="ref72">Zhang et al., 2012</xref>; <xref ref-type="bibr" rid="ref35">Jung et al., 2016</xref>).</p>
</sec>
<sec id="sec7">
<title>Network topological properties</title>
<p>We estimated both global and regional topological properties in the structural covariance networks using the Brain Connectivity Toolbox (BCT, <xref ref-type="bibr" rid="ref56">Rubinov and Sporns, 2010</xref>)<xref rid="fn0003" ref-type="fn"><sup>3</sup></xref> with MATLAB R2021b. Small-world parameters (including clustering coefficient, characteristic path length, and small-worldness) were computed to characterize global topological properties [refer to <xref ref-type="bibr" rid="ref56">Rubinov and Sporns (2010)</xref> for a detailed equation for each parameter]. Briefly, the clustering coefficient of a node is the ratio of the number of existing edges between direct neighbors of the node to the number of all possible edges between them. The network clustering coefficient is defined as the clustering coefficient average across all network nodes, reflecting its segregation. The shortest path length between two nodes is the minimum number of edges included in the path connecting these two nodes. The characteristic path length of a network is defined as the average shortest path length between all node pairs in the network, which measures network integration. Small-worldness is defined as the ratio of normalized clustering coefficient to normalized characteristic path length. Therefore, before computing the ratio, we normalized by comparing the clustering coefficient and characteristic path length to the corresponding mean values of 100 matched random networks.</p>
<p>BC as the regional network parameter was estimated to characterize regional topological organization at a sparsity threshold of 25%. This sparsity ensured that all nodes were included in the network for both groups while minimizing the number of false-positive connections (<xref ref-type="bibr" rid="ref28">He et al., 2008</xref>). BC is the fraction of all shortest paths in the network that pass through a given node. The BC of a node <italic>i</italic> on a given graph <italic>G</italic> with <italic>N</italic> nodes is calculated through the following formula (<xref ref-type="bibr" rid="ref24">Freeman, 1977</xref>; <xref ref-type="bibr" rid="ref36">Jung et al., 2013</xref>; <xref ref-type="bibr" rid="ref25">Gharahi et al., 2023</xref>):</p>
<disp-formula id="E2">
<mml:math id="M2">
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>C</mml:mi>
<mml:mfenced>
<mml:mi>i</mml:mi>
</mml:mfenced>
<mml:mo>=</mml:mo>
<mml:munder>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>&#x2260;</mml:mo>
<mml:mi>k</mml:mi>
<mml:mo>&#x2208;</mml:mo>
<mml:mi>G</mml:mi>
</mml:mrow>
</mml:munder>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mfenced>
<mml:mi>i</mml:mi>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <inline-formula>
<mml:math id="M3">
<mml:mi>&#x03B4;</mml:mi>
</mml:math>
</inline-formula><italic>
<sub>jk</sub>
</italic> is the total number of shortest paths from a node <italic>j</italic> to a node <italic>k</italic>, and <inline-formula>
<mml:math id="M4">
<mml:mi>&#x03B4;</mml:mi>
</mml:math>
</inline-formula><italic>
<sub>jk</sub>
</italic> (<italic>i</italic>) is the number of those paths that pass through a node <italic>i</italic> within graph <italic>G.</italic> The BC value reflects the influence of a node on the information flow between other nodes in the network. Before group comparison, the BC was normalized by the average BC of the network. Nodes having greater than one standard deviation above the average BC across all nodes were considered hubs for each group (<xref ref-type="bibr" rid="ref7">Bassett et al., 2008</xref>; <xref ref-type="bibr" rid="ref35">Jung et al., 2016</xref>). Finally, the hub locations were qualitatively compared across groups.</p>
</sec>
<sec id="sec8">
<title>Statistical analysis</title>
<p>A nonparametric permutation test (1,000 repetitions) was performed to determine the statistical significance of differences in the network topological properties between groups (<xref ref-type="bibr" rid="ref10">Bullmore et al., 1999</xref>; <xref ref-type="bibr" rid="ref28">He et al., 2008</xref>). At each permutation, the corrected GM volumes of all participants were randomly reassigned to one of two new groups. The correlation matrix for each randomized group was recomputed and binarized over the range of defined sparsity thresholds. The topological network properties were estimated for each thresholded network. In addition, their intergroup differences were computed to create a permutation distribution of differences under the null hypothesis. The significance level was set at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05 for group differences in global and regional topological properties. Following previous studies (<xref ref-type="bibr" rid="ref46">Lynall et al., 2010</xref>; <xref ref-type="bibr" rid="ref31">Hong et al., 2013</xref>; <xref ref-type="bibr" rid="ref35">Jung et al., 2016</xref>), for the regional parameter (i.e., BC), we also applied a threshold of <italic>p</italic>&#x2009;&#x003C;&#x2009;0.011 (=1/90, 90 is the number of nodes), which is a less stringent false positive correction based on the number of nodes. BrainNet Viewer was employed for network visualization (<xref ref-type="bibr" rid="ref69">Xia et al., 2013</xref>).</p>
</sec>
</sec>
<sec sec-type="results" id="sec9">
<title>Results</title>
<sec id="sec10">
<title>Demographic and behavioral data</title>
<p>HDG, compared with LDG, showed significantly greater discounting rates (<italic>t</italic>&#x2009;=&#x2009;6.193, <italic>df</italic> =&#x2009;68, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001; <xref rid="tab1" ref-type="table">Table 1</xref>). However, other variables, including age, sex, education, and TIV, were not significantly different between the two groups (<italic>ps</italic>&#x2009;&#x003E;&#x2009;0.05).</p>
</sec>
<sec id="sec11">
<title>Global network analysis</title>
<p>The GM-based structural covariance networks for both groups followed a small-world architecture across the defined sparsity range. This pattern was evidenced by small-worldness (&#x03C3;)&#x2009;&#x003E;&#x2009;1 (<xref rid="fig2" ref-type="fig">Figure 2A</xref>) as well as normalized clustering coefficient&#x2009;&#x003E;&#x2009;1 and normalized characteristic path length &#x2248; 1, generated by comparing with random networks (<xref ref-type="bibr" rid="ref66">Watts and Strogatz, 1998</xref>; <xref ref-type="bibr" rid="ref32">Humphries et al., 2006</xref>).</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Global network topological properties of the structural covariance network. <bold>(A)</bold> Changes in small-world parameters (including clustering coefficient, characteristic path length, and small-worldness) in HDG (blue circles) and LDG (orange circles) as a function of network sparsity. <bold>(B)</bold> Differences (red circles) in global network properties between two groups. The gray lines represent the mean values (light gray), and 95% confidence intervals (dark gray) of the between-group differences obtained 1,000 permutation tests at each sparsity threshold. The red circles lying outside of the confidence intervals indicate the sparsity where the difference is significant at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05. The positive values indicate HDG&#x2009;&#x003E;&#x2009;LDG, and negative values indicate HDG&#x2009;&#x003C;&#x2009;LDG.</p>
</caption>
<graphic xlink:href="fpsyg-14-1210652-g002.tif"/>
</fig>
<p>As shown in <xref rid="fig2" ref-type="fig">Figure 2B</xref>, significant differences in clustering coefficient and characteristic path length between the two groups were detected with a wide range of sparsity thresholds (0.27&#x2009;&#x003C;&#x2009;sparsity &#x003C;0.53), showing that HDG had fewer values in these two global parameters, relative to LDG. In addition, significant differences in small-worldness were also observed at 0.26&#x2009;&#x003C;&#x2009;sparsity &#x003C;0.38, showing that HDG, relative to LDG, showed greater small-worldness.</p>
</sec>
<sec id="sec12">
<title>Regional network analysis</title>
<p>Group differences in the BC were observed in seven areas (at <italic>ps</italic>&#x2009;&#x003C;&#x2009;0.05), including the right parahippocampal gyrus (<italic>p</italic>&#x2009;=&#x2009;0.001), left amygdala (<italic>p</italic>&#x2009;=&#x2009;0.005), right lingual gyrus (<italic>p</italic>&#x2009;=&#x2009;0.020), right insula (<italic>p</italic>&#x2009;=&#x2009;0.022), left triangular inferior frontal gyrus (IFGtriang, <italic>p</italic>&#x2009;=&#x2009;0.024), left orbital inferior frontal gyrus (ORBinf, <italic>p</italic>&#x2009;=&#x2009;0.024), and left putamen (<italic>p</italic>&#x2009;=&#x2009;0.033) (<xref rid="fig3" ref-type="fig">Figure 3</xref>). Compared to LDG, HDG showed greater BC in the lingual gyrus and ORBinf but less BC in the IFGtriang, parahippocampal gyrus, insula, amygdala, and putamen. However, of all these areas, only two limbic areas (the left amygdala and right parahippocampal gyrus) showing less BC in HDG survived when applying a false positive correction.</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>The difference in nodal betweenness centrality between two groups. Regions showing significant differences are rendered on a brain surface. The graph shows the differences (red circles) in normalized betweenness centrality for each node between two groups. The gray circles and lines represent the mean values and 95% confidence intervals of the between-group differences obtained from 1,000 permutation tests. The red circles lying outside of the confidence intervals indicate the sparsity where the difference is significant at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05. The positive values (blue arrows) indicate HDG&#x2009;&#x003E;&#x2009;LDG, and negative values (orange arrows) indicate HDG&#x2009;&#x003C;&#x2009;LDG. L, left; R, right; IFGtriang, triangular inferior frontal gyrus; PUT, putamen; ORBinf, orbital inferior frontal gyrus; AMYG, amygdala; LING, lingual gyrus; PHG, parahippocampal gyrus; INS, insula.</p>
</caption>
<graphic xlink:href="fpsyg-14-1210652-g003.tif"/>
</fig>
<p>A different number and distribution of network hubs were observed between the two groups (<xref rid="fig4" ref-type="fig">Figure 4</xref>). Especially, 10 regions (all cortical; left superior temporal pole, left cuneus, left Heschl gyrus, left ORBinf, left insula, right middle frontal gyrus, left superior occipital gyrus, left calcarine, right rectus, and left middle frontal gyrus) were identified as hubs in the HDG. Nine hubs (six cortical and three subcortical; right insula, right opercular inferior frontal gyrus, right middle temporal gyrus, right superior temporal pole, right parahippocampal gyrus, left IFGtriang, left and right amygdala, left putamen) were identified in the LDG. No regions were common to both groups.</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Hubs in each group. <bold>(A)</bold> Hubs in the HDG (blue circles) were located in 10 cortical areas (including right middle frontal gyrus [MFG], right rectus [REC], left MFG, left orbital inferior frontal gyrus [ORBinf], left insula [INS], left superior temporal pole [TPOsup], left Heschl gyrus [HES], left cuneus [CUN], left superior occipital gyrus [SOG], and left calcarine [CAL]). <bold>(B)</bold> Hubs in the LDG (orange circles) were 6 cortical (right opercular inferior frontal gyrus [IFGoperc], right INS, right TPOsup, right middle temporal gyrus [MTG], right parahippocampal gyrus [PHG], and left triangular inferior frontal gyrus [IFGtriang]) and 3 subcortical (right amygdala [AMYG], left AMYG, and left putamen [PUT]) areas.</p>
</caption>
<graphic xlink:href="fpsyg-14-1210652-g004.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussions" id="sec13">
<title>Discussion</title>
<p>In the present study, we investigated whether there were differences in the coordinated patterns (i.e., topological properties from graph theoretical analysis) of structural covariance networks between HDG and LDG. Earlier studies showed brain areas associated with DD in terms of brain morphology, suggesting neuroanatomical correlates of DD (<xref ref-type="bibr" rid="ref9">Bjork et al., 2009</xref>; <xref ref-type="bibr" rid="ref19">Dombrovski et al., 2012</xref>; <xref ref-type="bibr" rid="ref15">Cho et al., 2013</xref>; <xref ref-type="bibr" rid="ref41">Lebreton et al., 2013</xref>; <xref ref-type="bibr" rid="ref63">Wang et al., 2016</xref>; <xref ref-type="bibr" rid="ref51">Owens et al., 2017</xref>; <xref ref-type="bibr" rid="ref53">Pehlivanova et al., 2018</xref>). The present study extends these findings by being the first to examine the involvement of topological features of the structural covariance networks generated based on brain morphology (i.e., GM volume) on impulsive choice, measured by DD, at group level. We found significant differences in global network topology, especially small-world parameters, between HDG and LDG. HDG showed fewer values in both clustering coefficient and characteristic path length but greater small-worldness. We also observed differences in the regional network topology, particularly BC, between groups. HDG had lower BC in the limbic region, particularly the parahippocampal gyrus and amygdala. Together with earlier findings showing an association between DD and regional GM volumes, these findings provide evidence for the involvement of brain morphology in DD at group level. Our findings further suggest that the topological characteristics of brain morphology-based structural covariance networks may play a central role in impulsive choice.</p>
<p>To construct brain networks in the current study, we used structural covariance that is an indicator of individual differences in brain volumetry within a group. Structural covariance networks reflect the degree to which the morphology (in this case, regional GM volume) of brain regions covaries with other regions within a given group. That is, a group with high (low) structural covariance would have high (low) correlations between regional GM volumes across individuals in that group. Therefore, the current results we found argue differences in the structural covariance patterns between groups divided by discounting rates (the index of impulsive choice). Though the precise neurobiological and development mechanisms behind structural covariance patterns remains unclear, structural covariance networks share several common topological features with functional brain networks, such as small-world topology and hubs (<xref ref-type="bibr" rid="ref1">Achard et al., 2006</xref>; <xref ref-type="bibr" rid="ref27">He et al., 2007</xref>), and previous studies have suggested environment-related structural changes (<xref ref-type="bibr" rid="ref48">Maguire et al., 2000</xref>) or mutually trophic effects (<xref ref-type="bibr" rid="ref21">Ferrer et al., 1995</xref>) on structural covariance patterns. Some studies have also demonstrated disrupted topological features in the structural covariance networks in various neurologic or psychiatric disorders, including Alzheimer&#x2019;s disease (<xref ref-type="bibr" rid="ref28">He et al., 2008</xref>), schizophrenia (<xref ref-type="bibr" rid="ref72">Zhang et al., 2012</xref>), and OCD (<xref ref-type="bibr" rid="ref71">Yun et al., 2020</xref>).</p>
<p>A small-world network is characterized by a high clustering coefficient and a short average shortest path length (i.e., a short characteristic path length), which means high segregation and integration of the network, respectively (<xref ref-type="bibr" rid="ref66">Watts and Strogatz, 1998</xref>). Therefore, the small-world network is suggested to support efficient information processing. The extent to which a given network displays small-world structure (quantified as small-worldness) can be evaluated by considering the balance between segregation and integration (<xref ref-type="bibr" rid="ref66">Watts and Strogatz, 1998</xref>). In other words, small-worldness is the ratio of the clustering coefficient [numerator] to the characteristic path length [denominator], normalized by comparing to corresponding values of random networks. If the small-worldness of a given network is greater than 1, the network is deemed to be a &#x2018;small-world.&#x2019; In the current study, we observed small-world structures (small-worldness &#x003E;1) particularly in the structural covariance networks over the wide range of sparsity thresholds, consistent with previous studies (<xref ref-type="bibr" rid="ref28">He et al., 2008</xref>; <xref ref-type="bibr" rid="ref73">Zhang et al., 2019</xref>). We also showed that HDG, compared with LDG, had fewer levels of both clustering coefficient and characteristic path length. Therefore, the results are interpreted as less segregation and higher integration in HDG. Small-worldness was higher in HDG compared with LDG. Though HDG showed a greater small-worldness value, we would urge caution in interpreting this result because HDG and LDG are young, healthy adults who have no serious clinical problems. Considering the equation to calculate the small-worldness presented above, higher small-worldness can come out if the characteristic path length [denominator] is relatively smaller than the clustering coefficient [numerator]. Therefore, higher small-worldness in HDG may be due to even less characteristic path length than LDG. Indeed, the characteristic path length difference between the two groups was much more significant than the difference in the clustering coefficient (see <xref rid="fig2" ref-type="fig">Figure 2</xref>).</p>
<p>Previous studies have demonstrated small-world structure in structural and functional brain networks, derived from DTI tractography and functional connectivity, respectively (<xref ref-type="bibr" rid="ref26">Gong et al., 2009</xref>; <xref ref-type="bibr" rid="ref43">Lo et al., 2010</xref>; <xref ref-type="bibr" rid="ref36">Jung et al., 2013</xref>, <xref ref-type="bibr" rid="ref35">2016</xref>). Many studies have revealed differences in the topological properties of these structural or functional brain networks not only in a variety of clinical conditions, such as Alzheimer&#x2019;s disease, OCD, and schizophrenia (<xref ref-type="bibr" rid="ref43">Lo et al., 2010</xref>; <xref ref-type="bibr" rid="ref59">Shin et al., 2014</xref>; <xref ref-type="bibr" rid="ref33">Jiang et al., 2022</xref>) but also between groups divided according to experience or skills even in healthy adults (e.g., board game experts versus novices; <xref ref-type="bibr" rid="ref36">Jung et al., 2013</xref>). However, a few studies have explicitly investigated brain network topology involvement in DD (<xref ref-type="bibr" rid="ref14">Chen et al., 2019b</xref>; <xref ref-type="bibr" rid="ref64">Wang et al., 2021a</xref>,<xref ref-type="bibr" rid="ref65">b</xref>). They showed the association between individual differences in DD and global network topological properties, such as small-world parameters. For example, using DTI and resting-state fMRI data, <xref ref-type="bibr" rid="ref13">Chen et al. (2019a</xref>,<xref ref-type="bibr" rid="ref14">b)</xref> investigated the association between individual DD and global and regional network properties estimated from structural and functional brain networks. They found that high discounters had decreased small-world parameters, including normalized clustering coefficient and small-worldness, in structural and functional brain networks. However, they did not observe any significant association with regional network properties. More recently, <xref ref-type="bibr" rid="ref64">Wang et al. (2021a)</xref> applied the representational connectivity analysis (RCA) approach to generate functional brain networks corresponding to future rewards&#x2019; amount and delay time during the DD task. In addition, they investigated the relationship between DD and topological parameters of these two networks. They found that global network topology (global efficiency) in the delay-related network was inversely associated with DD. Discrepancies between previous findings and current findings may stem from differences in image modality and analysis method used to generate the brain network and node definition.</p>
<p>In the present study, we found BC differences in several regions between the two groups. Among them, the amygdala and parahippocampal gyrus remained after multiple comparison corrections, suggesting that the local network topology of the limbic areas may play a more central role in DD. Previous functional and structural studies have reported the involvement of the medial temporal regions including the amygdala and parahippocampal gyrus in DD, suggesting the role of these areas in impulsive choice. Dysfunction in amygdala and parahippocampal gyrus may each lead to a preference for immediate rewards associated with positive emotions or memories, even at long-term disadvantages. The amygdala is a key brain region for reward and emotional processing (<xref ref-type="bibr" rid="ref29">Hommer et al., 2003</xref>; <xref ref-type="bibr" rid="ref70">Yang et al., 2020</xref>). The amygdala responds to the salience of stimulus and prepares adaptive behaviors for changing environmental conditions (<xref ref-type="bibr" rid="ref18">Cunningham and Brosch, 2012</xref>). In the context of impulsive choice, the amygdala is associated with the evaluation of immediate stimuli and their emotional significance. For instance, amygdala activation in humans is correlated with reward magnitude for immediate over delayed rewards (<xref ref-type="bibr" rid="ref44">Ludwig et al., 2015</xref>). Aberrant activation and lesions in the amygdala are related to preferences for immediate rewards in rodents (<xref ref-type="bibr" rid="ref68">Winstanley et al., 2004</xref>; <xref ref-type="bibr" rid="ref16">Churchwell et al., 2009</xref>). Given the abovementioned findings, when faced with a choice that entails immediate reward, the amygdala can influence impulsive decision-making by biasing individuals toward choosing options that provide immediate emotional satisfaction, even at long-term disadvantages. The parahippocampal gyrus, a cortical region surrounding the hippocampus, plays a vital role in memory (<xref ref-type="bibr" rid="ref60">Squire and Zola-Morgan, 1991</xref>) and visuospatial processing (<xref ref-type="bibr" rid="ref2">Aguirre et al., 1996</xref>). In the context of impulsive choice, the parahippocampal gyrus may play a role in evaluating the significance of available options based on the context in which they are presented. Activity in the parahippocampal gyrus can predict an individual&#x2019;s DD (<xref ref-type="bibr" rid="ref14">Chen et al., 2019b</xref>). Recently, <xref ref-type="bibr" rid="ref65">Wang et al. (2021b)</xref> found that less all-range non-hub resting-state functional connectivity (also called degree centrality, which measures the sum of all the connections between a given voxel and all of the other voxels) in the parahippocampus was associated with high DD. Considering that the hippocampus and parahippocampal gyrus play a key role in imagining novel experiences (e.g., future thinking; <xref ref-type="bibr" rid="ref57">Schacter et al., 2007</xref>, <xref ref-type="bibr" rid="ref58">2008</xref>), it is suggested that these areas may contribute to evaluating future rewards through mental simulation, that is a process of prospection (<xref ref-type="bibr" rid="ref34">Johnson et al., 2007</xref>; <xref ref-type="bibr" rid="ref45">Luhmann et al., 2008</xref>; <xref ref-type="bibr" rid="ref54">Peters and B&#x00FC;chel, 2009</xref>). Given the abovementioned findings, the parahippocampal gyrus can influence impulsive decision-making by weighing the significance of the choices in relation to stored memories or imagined futures.</p>
<p>Some study limitations should be addressed. First, this study included only young, healthy adults. It is thus necessary to see if results from people with impulsive disorders are similar to the current findings. Second, as there are no individual networks but the group-level networks to estimate structural covariances, we could not examine the association between individual network topology parameters and DD. Third, considering previous results showing the association between structural and functional networks (<xref ref-type="bibr" rid="ref30">Honey et al., 2007</xref>; <xref ref-type="bibr" rid="ref14">Chen et al., 2019b</xref>), further studies combining networks generated from structural covariance and functional connectivity are needed to improve our understanding of the relationship between topological properties of structural covariance and functional brain networks and between these variables and DD. Additionally, future studies using DTI and functional MRI data will help clarify the association of topological properties of structural and functional connectivity with individual differences in DD.</p>
<p>In summary, this study applied a neuroeconomic approach to study the neural mechanisms underlying impulsivity, measured by the DD rate. To investigate DD-related differences in the coordinated patterns of large-scale structural brain networks, we compared global and regional topological properties of the GM volume-based structural covariance networks between HDG and LDG. Our findings provide evidence supporting the involvement of brain morphology in DD at group level and offer new insights into the network mechanisms underlying DD, showing differences in small-world parameters (less segregation and high integration) and BC (an importance role in limbic areas, including the parahippocampal gyrus and amygdala, on delayed gratification) between two groups. Future studies with patients with impulsive behaviors are warranted to explore this issue further.</p>
</sec>
<sec sec-type="data-availability" id="sec14">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="sec15">
<title>Ethics statement</title>
<p>The studies involving humans were approved by the Institutional Review Board of Gachon University. The studies were conducted in accordance with the local legislation and institutional requirements. The participants provided their written informed consent to participate in this study.</p>
</sec>
<sec id="sec16">
<title>Author contributions</title>
<p>WJ conceived the experiments, conducted the analysis, and wrote the manuscript. EK collected the data and wrote the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec sec-type="funding-information" id="sec17">
<title>Funding</title>
<p>This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. NRF-2022R1A2C1010704).</p>
</sec>
<sec sec-type="COI-statement" id="sec18">
<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="sec100" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
<ack>
<p>The authors thank Eun-young Park and Eun-seo Jo for their assistance in data collection and Jin-Ju Yang for sharing codes to graph theory-based MRI data analysis at the KHBM workshop. In addition, WJ is very grateful to Jason (Sangyoon) Jung, Stella (Sanghyo) Jung, and Ji Yeon Han for their continued support and encouragement.</p>
</ack>
<ref-list>
<title>References</title>
<ref id="ref1"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Achard</surname> <given-names>S.</given-names></name> <name><surname>Salvador</surname> <given-names>R.</given-names></name> <name><surname>Whitcher</surname> <given-names>B.</given-names></name> <name><surname>Suckling</surname> <given-names>J.</given-names></name> <name><surname>Bullmore</surname> <given-names>E.</given-names></name></person-group> (<year>2006</year>). <article-title>A resilient, low-frequency, small-world human brain functional network with highly connected association cortical hubs</article-title>. <source>J. Neurosci.</source> <volume>26</volume>, <fpage>63</fpage>&#x2013;<lpage>72</lpage>. doi: <pub-id pub-id-type="doi">10.1523/JNEUROSCI.3874-05.2006</pub-id>, PMID: <pub-id pub-id-type="pmid">16399673</pub-id></citation></ref>
<ref id="ref2"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Aguirre</surname> <given-names>G. K.</given-names></name> <name><surname>Detre</surname> <given-names>J. A.</given-names></name> <name><surname>Alsop</surname> <given-names>D. C.</given-names></name> <name><surname>D'Esposito</surname> <given-names>M.</given-names></name></person-group> (<year>1996</year>). <article-title>The parahippocampus subserves topographical learning in man</article-title>. <source>Cereb. Cortex</source> <volume>6</volume>, <fpage>823</fpage>&#x2013;<lpage>829</lpage>. doi: <pub-id pub-id-type="doi">10.1093/cercor/6.6.823</pub-id>, PMID: <pub-id pub-id-type="pmid">8922339</pub-id></citation></ref>
<ref id="ref3"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ahn</surname> <given-names>W. Y.</given-names></name> <name><surname>Rass</surname> <given-names>O.</given-names></name> <name><surname>Fridberg</surname> <given-names>D. J.</given-names></name> <name><surname>Bishara</surname> <given-names>A. J.</given-names></name> <name><surname>Forsyth</surname> <given-names>J. K.</given-names></name> <name><surname>Breier</surname> <given-names>A.</given-names></name> <etal/></person-group>. (<year>2011</year>). <article-title>Temporal discounting of rewards in patients with bipolar disorder and schizophrenia</article-title>. <source>J. Abnorm. Psychol.</source> <volume>120</volume>, <fpage>911</fpage>&#x2013;<lpage>921</lpage>. doi: <pub-id pub-id-type="doi">10.1037/a0023333</pub-id>, PMID: <pub-id pub-id-type="pmid">21875166</pub-id></citation></ref>
<ref id="ref4"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Alexander-Bloch</surname> <given-names>A.</given-names></name> <name><surname>Giedd</surname> <given-names>J. N.</given-names></name> <name><surname>Bullmore</surname> <given-names>E.</given-names></name></person-group> (<year>2013</year>). <article-title>Imaging structural co-variance between human brain regions</article-title>. <source>Nat. Rev. Neurosci.</source> <volume>14</volume>, <fpage>322</fpage>&#x2013;<lpage>336</lpage>. doi: <pub-id pub-id-type="doi">10.1038/nrn3465</pub-id>, PMID: <pub-id pub-id-type="pmid">23531697</pub-id></citation></ref>
<ref id="ref5"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ballard</surname> <given-names>K.</given-names></name> <name><surname>Knutson</surname> <given-names>B.</given-names></name></person-group> (<year>2009</year>). <article-title>Dissociable neural representations of future reward magnitude and delay during temporal discounting</article-title>. <source>NeuroImage</source> <volume>45</volume>, <fpage>143</fpage>&#x2013;<lpage>150</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neuroimage.2008.11.004</pub-id></citation></ref>
<ref id="ref6"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bartra</surname> <given-names>O.</given-names></name> <name><surname>McGuire</surname> <given-names>J. T.</given-names></name> <name><surname>Kable</surname> <given-names>J. W.</given-names></name></person-group> (<year>2013</year>). <article-title>The valuation system: a coordinate-based meta-analysis of BOLD fMRI experiments examining neural correlates of subjective value</article-title>. <source>NeuroImage</source> <volume>76</volume>, <fpage>412</fpage>&#x2013;<lpage>427</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neuroimage.2013.02.063</pub-id>, PMID: <pub-id pub-id-type="pmid">23507394</pub-id></citation></ref>
<ref id="ref7"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bassett</surname> <given-names>D. S.</given-names></name> <name><surname>Bullmore</surname> <given-names>E.</given-names></name> <name><surname>Verchinski</surname> <given-names>B. A.</given-names></name> <name><surname>Mattay</surname> <given-names>V. S.</given-names></name> <name><surname>Weinberger</surname> <given-names>D. R.</given-names></name> <name><surname>Meyer-Lindenberg</surname> <given-names>A.</given-names></name></person-group> (<year>2008</year>). <article-title>Hierarchical organization of human cortical networks in health and schizophrenia</article-title>. <source>J. Neurosci.</source> <volume>28</volume>, <fpage>9239</fpage>&#x2013;<lpage>9248</lpage>. doi: <pub-id pub-id-type="doi">10.1523/JNEUROSCI.1929-08.2008</pub-id>, PMID: <pub-id pub-id-type="pmid">18784304</pub-id></citation></ref>
<ref id="ref8"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Berlin</surname> <given-names>G. S.</given-names></name> <name><surname>Hollander</surname> <given-names>E.</given-names></name></person-group> (<year>2014</year>). <article-title>Compulsivity, impulsivity, and the DSM-5 process</article-title>. <source>CNS Spectr.</source> <volume>19</volume>, <fpage>62</fpage>&#x2013;<lpage>68</lpage>. doi: <pub-id pub-id-type="doi">10.1017/S1092852913000722</pub-id></citation></ref>
<ref id="ref9"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bjork</surname> <given-names>J. M.</given-names></name> <name><surname>Momenan</surname> <given-names>R.</given-names></name> <name><surname>Hommer</surname> <given-names>D. W.</given-names></name></person-group> (<year>2009</year>). <article-title>Delay discounting correlates with proportional lateral frontal cortex volumes</article-title>. <source>Biol. Psychiatry</source> <volume>65</volume>, <fpage>710</fpage>&#x2013;<lpage>713</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.biopsych.2008.11.023</pub-id>, PMID: <pub-id pub-id-type="pmid">19121516</pub-id></citation></ref>
<ref id="ref10"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bullmore</surname> <given-names>E. T.</given-names></name> <name><surname>Suckling</surname> <given-names>J.</given-names></name> <name><surname>Overmeyer</surname> <given-names>S.</given-names></name> <name><surname>Rabe-Hesketh</surname> <given-names>S.</given-names></name> <name><surname>Taylor</surname> <given-names>E.</given-names></name> <name><surname>Brammer</surname> <given-names>M. J.</given-names></name></person-group> (<year>1999</year>). <article-title>Global, voxel, and cluster tests, by theory and permutation, for a difference between two groups of structural MR images of the brain</article-title>. <source>IEEE Trans Med Imaging</source> <volume>18</volume>, <fpage>32</fpage>&#x2013;<lpage>42</lpage>. doi: <pub-id pub-id-type="doi">10.1109/42.750253</pub-id>, PMID: <pub-id pub-id-type="pmid">10193695</pub-id></citation></ref>
<ref id="ref11"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chabris</surname> <given-names>C. F.</given-names></name> <name><surname>Laibson</surname> <given-names>D.</given-names></name> <name><surname>Morris</surname> <given-names>C. L.</given-names></name> <name><surname>Schuldt</surname> <given-names>J. P.</given-names></name> <name><surname>Taubinsky</surname> <given-names>D.</given-names></name></person-group> (<year>2008</year>). <article-title>Individual laboratory-measured discount rates predict field behavior</article-title>. <source>J. Risk Uncertain.</source> <volume>37</volume>, <fpage>237</fpage>&#x2013;<lpage>269</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s11166-008-9053-x</pub-id>, PMID: <pub-id pub-id-type="pmid">19412359</pub-id></citation></ref>
<ref id="ref12"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chen</surname> <given-names>Z.</given-names></name> <name><surname>Guo</surname> <given-names>Y.</given-names></name> <name><surname>Suo</surname> <given-names>T.</given-names></name> <name><surname>Feng</surname> <given-names>T.</given-names></name></person-group> (<year>2018</year>). <article-title>Coupling and segregation of large-scale brain networks predict individual differences in delay discounting</article-title>. <source>Biol. Psychol.</source> <volume>133</volume>, <fpage>63</fpage>&#x2013;<lpage>71</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.biopsycho.2018.01.011</pub-id>, PMID: <pub-id pub-id-type="pmid">29382543</pub-id></citation></ref>
<ref id="ref13"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chen</surname> <given-names>Z.</given-names></name> <name><surname>Guo</surname> <given-names>Y.</given-names></name> <name><surname>Zhang</surname> <given-names>S.</given-names></name> <name><surname>Feng</surname> <given-names>T.</given-names></name></person-group> (<year>2019a</year>). <article-title>Pattern classification differentiates decision of intertemporal choices using multi-voxel pattern analysis</article-title>. <source>Cortex</source> <volume>111</volume>, <fpage>183</fpage>&#x2013;<lpage>195</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.cortex.2018.11.001</pub-id>, PMID: <pub-id pub-id-type="pmid">30503997</pub-id></citation></ref>
<ref id="ref14"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chen</surname> <given-names>Z.</given-names></name> <name><surname>Hu</surname> <given-names>X.</given-names></name> <name><surname>Chen</surname> <given-names>Q.</given-names></name> <name><surname>Feng</surname> <given-names>T.</given-names></name></person-group> (<year>2019b</year>). <article-title>Altered structural and functional brain network overall organization predict human intertemporal decision-making</article-title>. <source>Hum. Brain Mapp.</source> <volume>40</volume>, <fpage>306</fpage>&#x2013;<lpage>328</lpage>. doi: <pub-id pub-id-type="doi">10.1002/hbm.24374</pub-id>, PMID: <pub-id pub-id-type="pmid">30240495</pub-id></citation></ref>
<ref id="ref15"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Cho</surname> <given-names>S. S.</given-names></name> <name><surname>Pellecchia</surname> <given-names>G.</given-names></name> <name><surname>Aminian</surname> <given-names>K.</given-names></name> <name><surname>Ray</surname> <given-names>N.</given-names></name> <name><surname>Segura</surname> <given-names>B.</given-names></name> <name><surname>Obeso</surname> <given-names>I.</given-names></name> <etal/></person-group>. (<year>2013</year>). <article-title>Morphometric correlation of impulsivity in medial prefrontal cortex</article-title>. <source>Brain Topogr.</source> <volume>26</volume>, <fpage>479</fpage>&#x2013;<lpage>487</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s10548-012-0270-x</pub-id>, PMID: <pub-id pub-id-type="pmid">23274773</pub-id></citation></ref>
<ref id="ref16"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Churchwell</surname> <given-names>J. C.</given-names></name> <name><surname>Morris</surname> <given-names>A. M.</given-names></name> <name><surname>Heurtelou</surname> <given-names>N. M.</given-names></name> <name><surname>Kesner</surname> <given-names>R. P.</given-names></name></person-group> (<year>2009</year>). <article-title>Interactions between the prefrontal cortex and amygdala during delay discounting and reversal</article-title>. <source>Behav. Neurosci.</source> <volume>123</volume>, <fpage>1185</fpage>&#x2013;<lpage>1196</lpage>. doi: <pub-id pub-id-type="doi">10.1037/a0017734</pub-id>, PMID: <pub-id pub-id-type="pmid">20001103</pub-id></citation></ref>
<ref id="ref17"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Clithero</surname> <given-names>J. A.</given-names></name> <name><surname>Rangel</surname> <given-names>A.</given-names></name></person-group> (<year>2014</year>). <article-title>Informatic parcellation of the network involved in the computation of subjective value</article-title>. <source>Soc. Cogn. Affect. Neurosci.</source> <volume>9</volume>, <fpage>1289</fpage>&#x2013;<lpage>1302</lpage>. doi: <pub-id pub-id-type="doi">10.1093/scan/nst106</pub-id>, PMID: <pub-id pub-id-type="pmid">23887811</pub-id></citation></ref>
<ref id="ref18"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Cunningham</surname> <given-names>W. A.</given-names></name> <name><surname>Brosch</surname> <given-names>T.</given-names></name></person-group> (<year>2012</year>). <article-title>Motivational salience: amygdala tuning from traits, needs, values, and goals</article-title>. <source>Curr. Dir. Psychol. Sci.</source> <volume>21</volume>, <fpage>54</fpage>&#x2013;<lpage>59</lpage>. doi: <pub-id pub-id-type="doi">10.1177/0963721411430832</pub-id></citation></ref>
<ref id="ref19"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Dombrovski</surname> <given-names>A. Y.</given-names></name> <name><surname>Siegle</surname> <given-names>G. J.</given-names></name> <name><surname>Szanto</surname> <given-names>K.</given-names></name> <name><surname>Clark</surname> <given-names>L.</given-names></name> <name><surname>Reynolds</surname> <given-names>C. F.</given-names></name> <name><surname>Aizenstein</surname> <given-names>H.</given-names></name></person-group> (<year>2012</year>). <article-title>The temptation of suicide: striatal gray matter, discounting of delayed rewards, and suicide attempts in late-life depression</article-title>. <source>Psychol. Med.</source> <volume>42</volume>, <fpage>1203</fpage>&#x2013;<lpage>1215</lpage>. doi: <pub-id pub-id-type="doi">10.1017/S0033291711002133</pub-id>, PMID: <pub-id pub-id-type="pmid">21999930</pub-id></citation></ref>
<ref id="ref20"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Donohew</surname> <given-names>L.</given-names></name> <name><surname>Zimmerman</surname> <given-names>R.</given-names></name> <name><surname>Cupp</surname> <given-names>P. S.</given-names></name> <name><surname>Novak</surname> <given-names>S.</given-names></name> <name><surname>Colon</surname> <given-names>S.</given-names></name> <name><surname>Abell</surname> <given-names>R.</given-names></name></person-group> (<year>2000</year>). <article-title>Sensation seeking, impulsive decision-making, and risky sex: implications for risk-taking and design of interventions</article-title>. <source>Personal. Individ. Differ.</source> <volume>28</volume>, <fpage>1079</fpage>&#x2013;<lpage>1091</lpage>. doi: <pub-id pub-id-type="doi">10.1016/S0191-8869(99)00158-0</pub-id></citation></ref>
<ref id="ref21"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ferrer</surname> <given-names>I.</given-names></name> <name><surname>Blanco</surname> <given-names>R.</given-names></name> <name><surname>Carulla</surname> <given-names>M.</given-names></name> <name><surname>Condom</surname> <given-names>M.</given-names></name> <name><surname>Alc&#x00E1;ntara</surname> <given-names>S.</given-names></name> <name><surname>Oliv&#x00E9;</surname> <given-names>M.</given-names></name> <etal/></person-group>. (<year>1995</year>). <article-title>Transforming growth factor-alpha immunoreactivity in the developing and adult brain</article-title>. <source>Neuroscience</source> <volume>66</volume>, <fpage>189</fpage>&#x2013;<lpage>199</lpage>. doi: <pub-id pub-id-type="doi">10.1016/0306-4522(94)00584-R</pub-id>, PMID: <pub-id pub-id-type="pmid">7637868</pub-id></citation></ref>
<ref id="ref22"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Fields</surname> <given-names>S. A.</given-names></name> <name><surname>Sabet</surname> <given-names>M.</given-names></name> <name><surname>Reynolds</surname> <given-names>B.</given-names></name></person-group> (<year>2013</year>). <article-title>Dimensions of impulsive behavior in obese, overweight, and healthy-weight adolescents</article-title>. <source>Appetite</source> <volume>70</volume>, <fpage>60</fpage>&#x2013;<lpage>66</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.appet.2013.06.089</pub-id>, PMID: <pub-id pub-id-type="pmid">23831015</pub-id></citation></ref>
<ref id="ref23"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Figner</surname> <given-names>B.</given-names></name> <name><surname>Knoch</surname> <given-names>D.</given-names></name> <name><surname>Johnson</surname> <given-names>E. J.</given-names></name> <name><surname>Krosch</surname> <given-names>A. R.</given-names></name> <name><surname>Lisanby</surname> <given-names>S. H.</given-names></name> <name><surname>Fehr</surname> <given-names>E.</given-names></name> <etal/></person-group>. (<year>2010</year>). <article-title>Lateral prefrontal cortex and self-control in intertemporal choice</article-title>. <source>Nat. Neurosci.</source> <volume>13</volume>, <fpage>538</fpage>&#x2013;<lpage>539</lpage>. doi: <pub-id pub-id-type="doi">10.1038/nn.2516</pub-id>, PMID: <pub-id pub-id-type="pmid">20348919</pub-id></citation></ref>
<ref id="ref24"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Freeman</surname> <given-names>L. C.</given-names></name></person-group> (<year>1977</year>). <article-title>A set of measures of centrality based on betweenness</article-title>. <source>Sociometry</source> <volume>40</volume>, <fpage>35</fpage>&#x2013;<lpage>41</lpage>. doi: <pub-id pub-id-type="doi">10.2307/3033543</pub-id></citation></ref>
<ref id="ref25"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gharahi</surname> <given-names>E.</given-names></name> <name><surname>Soraya</surname> <given-names>S.</given-names></name> <name><surname>Ahmadkhaniha</surname> <given-names>H.</given-names></name> <name><surname>Sadeghi</surname> <given-names>B.</given-names></name> <name><surname>Haghshenas</surname> <given-names>M.</given-names></name> <name><surname>Bozorgmehr</surname> <given-names>A.</given-names></name></person-group> (<year>2023</year>). <article-title>Cognitive network reconstruction in individuals who use opioids compared to those who do not: topological analysis of cognitive function through graph model and centrality measures</article-title>. <source>Front. Psych.</source> <volume>13</volume>:<fpage>999199</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fpsyt.2022.999199</pub-id>, PMID: <pub-id pub-id-type="pmid">36683995</pub-id></citation></ref>
<ref id="ref26"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gong</surname> <given-names>G.</given-names></name> <name><surname>He</surname> <given-names>Y.</given-names></name> <name><surname>Concha</surname> <given-names>L.</given-names></name> <name><surname>Lebel</surname> <given-names>C.</given-names></name> <name><surname>Gross</surname> <given-names>D. W.</given-names></name> <name><surname>Evans</surname> <given-names>A. C.</given-names></name> <etal/></person-group>. (<year>2009</year>). <article-title>Mapping anatomical connectivity patterns of human cerebral cortex using in vivo diffusion tensor imaging tractography</article-title>. <source>Cereb. Cortex</source> <volume>19</volume>, <fpage>524</fpage>&#x2013;<lpage>536</lpage>. doi: <pub-id pub-id-type="doi">10.1093/cercor/bhn102</pub-id></citation></ref>
<ref id="ref27"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>He</surname> <given-names>Y.</given-names></name> <name><surname>Chen</surname> <given-names>Z. J.</given-names></name> <name><surname>Evans</surname> <given-names>A. C.</given-names></name></person-group> (<year>2007</year>). <article-title>Small-world anatomical networks in the human brain revealed by cortical thickness from MRI</article-title>. <source>Cereb. Cortex</source> <volume>17</volume>, <fpage>2407</fpage>&#x2013;<lpage>2419</lpage>. doi: <pub-id pub-id-type="doi">10.1093/cercor/bhl149</pub-id>, PMID: <pub-id pub-id-type="pmid">17204824</pub-id></citation></ref>
<ref id="ref28"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>He</surname> <given-names>Y.</given-names></name> <name><surname>Chen</surname> <given-names>Z.</given-names></name> <name><surname>Evans</surname> <given-names>A.</given-names></name></person-group> (<year>2008</year>). <article-title>Structural insights into aberrant topological patterns of large-scale cortical networks in Alzheimer's disease</article-title>. <source>J. Neurosci.</source> <volume>28</volume>, <fpage>4756</fpage>&#x2013;<lpage>4766</lpage>. doi: <pub-id pub-id-type="doi">10.1523/JNEUROSCI.0141-08.2008</pub-id>, PMID: <pub-id pub-id-type="pmid">18448652</pub-id></citation></ref>
<ref id="ref29"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hommer</surname> <given-names>D. W.</given-names></name> <name><surname>Knutson</surname> <given-names>B.</given-names></name> <name><surname>Fong</surname> <given-names>G. W.</given-names></name> <name><surname>Bennett</surname> <given-names>S.</given-names></name> <name><surname>Adams</surname> <given-names>C. M.</given-names></name> <name><surname>Varnera</surname> <given-names>J. L.</given-names></name></person-group> (<year>2003</year>). <article-title>Amygdalar recruitment during anticipation of monetary rewards: an event-related fMRI study</article-title>. <source>Ann. N. Y. Acad. Sci.</source> <volume>985</volume>, <fpage>476</fpage>&#x2013;<lpage>478</lpage>. doi: <pub-id pub-id-type="doi">10.1111/j.1749-6632.2003.tb07103.x</pub-id>, PMID: <pub-id pub-id-type="pmid">12724180</pub-id></citation></ref>
<ref id="ref30"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Honey</surname> <given-names>C. J.</given-names></name> <name><surname>K&#x00F6;tter</surname> <given-names>R.</given-names></name> <name><surname>Breakspear</surname> <given-names>M.</given-names></name> <name><surname>Sporns</surname> <given-names>O.</given-names></name></person-group> (<year>2007</year>). <article-title>Network structure of cerebral cortex shapes functional connectivity on multiple time scales</article-title>. <source>Proc. Natl. Acad. Sci.</source> <volume>104</volume>, <fpage>10240</fpage>&#x2013;<lpage>10245</lpage>. doi: <pub-id pub-id-type="doi">10.1073/pnas.0701519104</pub-id>, PMID: <pub-id pub-id-type="pmid">17548818</pub-id></citation></ref>
<ref id="ref31"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hong</surname> <given-names>S. B.</given-names></name> <name><surname>Zalesky</surname> <given-names>A.</given-names></name> <name><surname>Cocchi</surname> <given-names>L.</given-names></name> <name><surname>Fornito</surname> <given-names>A.</given-names></name> <name><surname>Choi</surname> <given-names>E. J.</given-names></name> <name><surname>Kim</surname> <given-names>H. H.</given-names></name> <etal/></person-group>. (<year>2013</year>). <article-title>Decreased functional brain connectivity in adolescents with internet addiction</article-title>. <source>PLoS One</source> <volume>8</volume>:<fpage>e57831</fpage>. doi: <pub-id pub-id-type="doi">10.1371/journal.pone.0057831</pub-id>, PMID: <pub-id pub-id-type="pmid">23451272</pub-id></citation></ref>
<ref id="ref32"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Humphries</surname> <given-names>M. D.</given-names></name> <name><surname>Gurney</surname> <given-names>K.</given-names></name> <name><surname>Prescott</surname> <given-names>T. J.</given-names></name></person-group> (<year>2006</year>). <article-title>The brainstem reticular formation is a small-world, not scale-free, network</article-title>. <source>Proc. R. Soc. B Biol. Sci.</source> <volume>273</volume>, <fpage>503</fpage>&#x2013;<lpage>511</lpage>. doi: <pub-id pub-id-type="doi">10.1098/rspb.2005.3354</pub-id>, PMID: <pub-id pub-id-type="pmid">16615219</pub-id></citation></ref>
<ref id="ref33"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Jiang</surname> <given-names>Y.</given-names></name> <name><surname>Yao</surname> <given-names>D.</given-names></name> <name><surname>Zhou</surname> <given-names>J.</given-names></name> <name><surname>Tan</surname> <given-names>Y.</given-names></name> <name><surname>Huang</surname> <given-names>H.</given-names></name> <name><surname>Wang</surname> <given-names>M.</given-names></name> <etal/></person-group>. (<year>2022</year>). <article-title>Characteristics of disrupted topological organization in white matter functional connectome in schizophrenia</article-title>. <source>Psychol. Med.</source> <volume>52</volume>, <fpage>1333</fpage>&#x2013;<lpage>1343</lpage>. doi: <pub-id pub-id-type="doi">10.1017/S0033291720003141</pub-id>, PMID: <pub-id pub-id-type="pmid">32880241</pub-id></citation></ref>
<ref id="ref34"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Johnson</surname> <given-names>A.</given-names></name> <name><surname>van der Meer</surname> <given-names>M. A.</given-names></name> <name><surname>Redish</surname> <given-names>A. D.</given-names></name></person-group> (<year>2007</year>). <article-title>Integrating hippocampus and striatum in decision-making</article-title>. <source>Curr. Opin. Neurobiol.</source> <volume>17</volume>, <fpage>692</fpage>&#x2013;<lpage>697</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.conb.2008.01.003</pub-id></citation></ref>
<ref id="ref35"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Jung</surname> <given-names>W. H.</given-names></name> <name><surname>Chang</surname> <given-names>K. J.</given-names></name> <name><surname>Kim</surname> <given-names>N. H.</given-names></name></person-group> (<year>2016</year>). <article-title>Disrupted topological organization in the whole-brain functional network of trauma-exposed firefighters: a preliminary study</article-title>. <source>Psychiatry Res. Neuroimaging</source> <volume>250</volume>, <fpage>15</fpage>&#x2013;<lpage>23</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.pscychresns.2016.03.003</pub-id>, PMID: <pub-id pub-id-type="pmid">27107156</pub-id></citation></ref>
<ref id="ref36"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Jung</surname> <given-names>W. H.</given-names></name> <name><surname>Kim</surname> <given-names>S. N.</given-names></name> <name><surname>Lee</surname> <given-names>T. Y.</given-names></name> <name><surname>Jang</surname> <given-names>J. H.</given-names></name> <name><surname>Choi</surname> <given-names>C. H.</given-names></name> <name><surname>Kang</surname> <given-names>D. H.</given-names></name> <etal/></person-group>. (<year>2013</year>). <article-title>Exploring the brains of Baduk (Go) experts: gray matter morphometry, resting-state functional connectivity, and graph theoretical analysis</article-title>. <source>Front. Hum. Neurosci.</source> <volume>7</volume>:<fpage>633</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fnhum.2013.00633</pub-id></citation></ref>
<ref id="ref37"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kable</surname> <given-names>J. W.</given-names></name> <name><surname>Glimcher</surname> <given-names>P. W.</given-names></name></person-group> (<year>2007</year>). <article-title>The neural correlates of subjective value during intertemporal choice</article-title>. <source>Nat. Neurosci.</source> <volume>10</volume>, <fpage>1625</fpage>&#x2013;<lpage>1633</lpage>. doi: <pub-id pub-id-type="doi">10.1038/nn2007</pub-id>, PMID: <pub-id pub-id-type="pmid">17982449</pub-id></citation></ref>
<ref id="ref38"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kable</surname> <given-names>J. W.</given-names></name> <name><surname>Glimcher</surname> <given-names>P. W.</given-names></name></person-group> (<year>2009</year>). <article-title>The neurobiology of decision: consensus and controversy</article-title>. <source>Neuron</source> <volume>63</volume>, <fpage>733</fpage>&#x2013;<lpage>745</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neuron.2009.09.003</pub-id></citation></ref>
<ref id="ref39"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kirby</surname> <given-names>K. N.</given-names></name> <name><surname>Petry</surname> <given-names>N. M.</given-names></name></person-group> (<year>2004</year>). <article-title>Heroin and cocaine abusers have higher discount rates for delayed rewards than alcoholics or non-drug-using controls</article-title>. <source>Addiction</source> <volume>99</volume>, <fpage>461</fpage>&#x2013;<lpage>471</lpage>. doi: <pub-id pub-id-type="doi">10.1111/j.1360-0443.2003.00669.x</pub-id></citation></ref>
<ref id="ref40"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kirby</surname> <given-names>K. N.</given-names></name> <name><surname>Winston</surname> <given-names>G. C.</given-names></name> <name><surname>Santiesteban</surname> <given-names>M.</given-names></name></person-group> (<year>2005</year>). <article-title>Impatience and grades: delay-discount rates correlate negatively with college GPA</article-title>. <source>Learn. Individ. Differ.</source> <volume>15</volume>, <fpage>213</fpage>&#x2013;<lpage>222</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.lindif.2005.01.003</pub-id></citation></ref>
<ref id="ref41"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lebreton</surname> <given-names>M.</given-names></name> <name><surname>Bertoux</surname> <given-names>M.</given-names></name> <name><surname>Boutet</surname> <given-names>C.</given-names></name> <name><surname>Lehericy</surname> <given-names>S.</given-names></name> <name><surname>Dubois</surname> <given-names>B.</given-names></name> <name><surname>Fossati</surname> <given-names>P.</given-names></name> <etal/></person-group>. (<year>2013</year>). <article-title>A critical role for the hippocampus in the valuation of imagined outcomes</article-title>. <source>PLoS Biol.</source> <volume>11</volume>:<fpage>e1001684</fpage>. doi: <pub-id pub-id-type="doi">10.1371/journal.pbio.1001684</pub-id>, PMID: <pub-id pub-id-type="pmid">24167442</pub-id></citation></ref>
<ref id="ref42"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Levitt</surname> <given-names>E.</given-names></name> <name><surname>Sanchez-Roige</surname> <given-names>S.</given-names></name> <name><surname>Palmer</surname> <given-names>A. A.</given-names></name> <name><surname>MacKillop</surname> <given-names>J.</given-names></name></person-group> (<year>2020</year>). <article-title>Steep discounting of future rewards as an impulsivity phenotype: a concise review</article-title>. <source>Curr. Top. Behav. Neurosci.</source> <volume>47</volume>, <fpage>113</fpage>&#x2013;<lpage>138</lpage>. doi: <pub-id pub-id-type="doi">10.1007/7854_2020_128</pub-id></citation></ref>
<ref id="ref43"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lo</surname> <given-names>C. Y.</given-names></name> <name><surname>Wang</surname> <given-names>P. N.</given-names></name> <name><surname>Chou</surname> <given-names>K. H.</given-names></name> <name><surname>Wang</surname> <given-names>J.</given-names></name> <name><surname>He</surname> <given-names>Y.</given-names></name> <name><surname>Lin</surname> <given-names>C. P.</given-names></name></person-group> (<year>2010</year>). <article-title>Diffusion tensor tractography reveals abnormal topological organization in structural cortical networks in Alzheimer's disease</article-title>. <source>J. Neurosci.</source> <volume>30</volume>, <fpage>16876</fpage>&#x2013;<lpage>16885</lpage>. doi: <pub-id pub-id-type="doi">10.1523/JNEUROSCI.4136-10.2010</pub-id>, PMID: <pub-id pub-id-type="pmid">21159959</pub-id></citation></ref>
<ref id="ref44"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ludwig</surname> <given-names>V. U.</given-names></name> <name><surname>N&#x00FC;sser</surname> <given-names>C.</given-names></name> <name><surname>Goschke</surname> <given-names>T.</given-names></name> <name><surname>Wittfoth-Schardt</surname> <given-names>D.</given-names></name> <name><surname>Wiers</surname> <given-names>C. E.</given-names></name> <name><surname>Erk</surname> <given-names>S.</given-names></name> <etal/></person-group>. (<year>2015</year>). <article-title>Delay discounting without decision-making: medial prefrontal cortex and amygdala activations reflect immediacy processing and correlate with impulsivity and anxious-depressive traits</article-title>. <source>Front. Behav. Neurosci.</source> <volume>9</volume>:<fpage>280</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fnbeh.2015.00280</pub-id></citation></ref>
<ref id="ref45"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Luhmann</surname> <given-names>C. C.</given-names></name> <name><surname>Chun</surname> <given-names>M. M.</given-names></name> <name><surname>Yi</surname> <given-names>D. J.</given-names></name> <name><surname>Lee</surname> <given-names>D.</given-names></name> <name><surname>Wang</surname> <given-names>X. J.</given-names></name></person-group> (<year>2008</year>). <article-title>Neural dissociation of delay and uncertainty in intertemporal choice</article-title>. <source>J. Neurosci.</source> <volume>28</volume>, <fpage>14459</fpage>&#x2013;<lpage>14466</lpage>. doi: <pub-id pub-id-type="doi">10.1523/JNEUROSCI.5058-08.2008</pub-id>, PMID: <pub-id pub-id-type="pmid">19118180</pub-id></citation></ref>
<ref id="ref46"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lynall</surname> <given-names>M. E.</given-names></name> <name><surname>Bassett</surname> <given-names>D. S.</given-names></name> <name><surname>Kerwin</surname> <given-names>R.</given-names></name> <name><surname>McKenna</surname> <given-names>P. J.</given-names></name> <name><surname>Kitzbichler</surname> <given-names>M.</given-names></name> <name><surname>Muller</surname> <given-names>U.</given-names></name> <etal/></person-group>. (<year>2010</year>). <article-title>Functional connectivity and brain networks in schizophrenia</article-title>. <source>J. Neurosci.</source> <volume>30</volume>, <fpage>9477</fpage>&#x2013;<lpage>9487</lpage>. doi: <pub-id pub-id-type="doi">10.1523/JNEUROSCI.0333-10.2010</pub-id>, PMID: <pub-id pub-id-type="pmid">20631176</pub-id></citation></ref>
<ref id="ref47"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Madden</surname> <given-names>G.J.</given-names></name> <name><surname>Bickel</surname> <given-names>W.K.</given-names></name></person-group> (<year>2010</year>). <source>Impulsivity: the behavioral and neurological science of discounting</source>. <publisher-name>APA Books</publisher-name>, <publisher-loc>Washington, DC</publisher-loc></citation></ref>
<ref id="ref48"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Maguire</surname> <given-names>E. A.</given-names></name> <name><surname>Gadian</surname> <given-names>D. G.</given-names></name> <name><surname>Johnsrude</surname> <given-names>I. S.</given-names></name> <name><surname>Good</surname> <given-names>C. D.</given-names></name> <name><surname>Ashburner</surname> <given-names>J.</given-names></name> <name><surname>Frackowiak</surname> <given-names>R. S.</given-names></name> <etal/></person-group>. (<year>2000</year>). <article-title>Navigation-related structural change in the hippocampi of taxi drivers</article-title>. <source>Proc. Natl. Acad. Sci. U. S. A.</source> <volume>97</volume>, <fpage>4398</fpage>&#x2013;<lpage>4403</lpage>. doi: <pub-id pub-id-type="doi">10.1073/pnas.070039597</pub-id>, PMID: <pub-id pub-id-type="pmid">10716738</pub-id></citation></ref>
<ref id="ref49"><citation citation-type="book"><person-group person-group-type="author"><name><surname>Mazur</surname> <given-names>J. E.</given-names></name></person-group> (<year>1987</year>). &#x201C;<article-title>An adjusting procedure for studying delayed reinforcement</article-title>&#x201D; in <source>The effects of delay and of intervening events on reinforcement value</source>. eds. <person-group person-group-type="editor"><name><surname>Mazur</surname> <given-names>J. E.</given-names></name> <name><surname>Nevin</surname> <given-names>J. A.</given-names></name> <name><surname>Rachlin</surname> <given-names>H.</given-names></name></person-group>, vol. <volume>5</volume> (<publisher-loc>New Jersey</publisher-loc>: <publisher-name>Erlbaum</publisher-name>), <fpage>55</fpage>&#x2013;<lpage>73</lpage>.</citation></ref>
<ref id="ref50"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Moeller</surname> <given-names>F. G.</given-names></name> <name><surname>Barratt</surname> <given-names>E. S.</given-names></name> <name><surname>Dougherty</surname> <given-names>D. M.</given-names></name> <name><surname>Schmitz</surname> <given-names>J. M.</given-names></name> <name><surname>Swann</surname> <given-names>A. C.</given-names></name></person-group> (<year>2001</year>). <article-title>Psychiatric aspects of impulsivity</article-title>. <source>Am. J. Psychiatr.</source> <volume>158</volume>, <fpage>1783</fpage>&#x2013;<lpage>1793</lpage>. doi: <pub-id pub-id-type="doi">10.1176/appi.ajp.158.11.1783</pub-id></citation></ref>
<ref id="ref51"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Owens</surname> <given-names>M. M.</given-names></name> <name><surname>Gray</surname> <given-names>J. C.</given-names></name> <name><surname>Amlung</surname> <given-names>M. T.</given-names></name> <name><surname>Oshri</surname> <given-names>A.</given-names></name> <name><surname>Sweet</surname> <given-names>L. H.</given-names></name> <name><surname>MacKillop</surname> <given-names>J.</given-names></name></person-group> (<year>2017</year>). <article-title>Neuroanatomical foundations of delayed reward discounting decision making</article-title>. <source>NeuroImage</source> <volume>161</volume>, <fpage>261</fpage>&#x2013;<lpage>270</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neuroimage.2017.08.045</pub-id>, PMID: <pub-id pub-id-type="pmid">28843539</pub-id></citation></ref>
<ref id="ref52"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Patton</surname> <given-names>J. H.</given-names></name> <name><surname>Stanford</surname> <given-names>M. S.</given-names></name> <name><surname>Barratt</surname> <given-names>E. S.</given-names></name></person-group> (<year>1995</year>). <article-title>Factor structure of the Barratt impulsiveness scale</article-title>. <source>J. Clin. Psychol.</source> <volume>51</volume>, <fpage>768</fpage>&#x2013;<lpage>774</lpage>. doi: <pub-id pub-id-type="doi">10.1002/1097-4679(199511)51:6&#x003C;768::AID-JCLP2270510607&#x003E;3.0.CO;2-1</pub-id></citation></ref>
<ref id="ref53"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pehlivanova</surname> <given-names>M.</given-names></name> <name><surname>Wolf</surname> <given-names>D. H.</given-names></name> <name><surname>Sotiras</surname> <given-names>A.</given-names></name> <name><surname>Kaczkurkin</surname> <given-names>A. N.</given-names></name> <name><surname>Moore</surname> <given-names>T. M.</given-names></name> <name><surname>Ciric</surname> <given-names>R.</given-names></name> <etal/></person-group>. (<year>2018</year>). <article-title>Diminished cortical thickness is associated with impulsive choice in adolescence</article-title>. <source>J. Neurosci.</source> <volume>38</volume>, <fpage>2471</fpage>&#x2013;<lpage>2481</lpage>. doi: <pub-id pub-id-type="doi">10.1523/JNEUROSCI.2200-17.2018</pub-id>, PMID: <pub-id pub-id-type="pmid">29440536</pub-id></citation></ref>
<ref id="ref54"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Peters</surname> <given-names>J.</given-names></name> <name><surname>B&#x00FC;chel</surname> <given-names>C.</given-names></name></person-group> (<year>2009</year>). <article-title>Overlapping and distinct neural systems code for subjective value during intertemporal and risky decision making</article-title>. <source>J. Neurosci.</source> <volume>29</volume>, <fpage>15727</fpage>&#x2013;<lpage>15734</lpage>. doi: <pub-id pub-id-type="doi">10.1523/JNEUROSCI.3489-09.2009</pub-id>, PMID: <pub-id pub-id-type="pmid">20016088</pub-id></citation></ref>
<ref id="ref55"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Reynolds</surname> <given-names>B.</given-names></name> <name><surname>Ortengren</surname> <given-names>A.</given-names></name> <name><surname>Richards</surname> <given-names>J.</given-names></name> <name><surname>de Wit</surname> <given-names>H.</given-names></name></person-group> (<year>2006</year>). <article-title>Dimensions of impulsive behavior: personality and behavioral measures</article-title>. <source>Personal. Individ. Differ.</source> <volume>40</volume>, <fpage>305</fpage>&#x2013;<lpage>315</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.paid.2005.03.024</pub-id></citation></ref>
<ref id="ref56"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Rubinov</surname> <given-names>M.</given-names></name> <name><surname>Sporns</surname> <given-names>O.</given-names></name></person-group> (<year>2010</year>). <article-title>Complex network measures of brain connectivity: uses and interpretations</article-title>. <source>NeuroImage</source> <volume>52</volume>, <fpage>1059</fpage>&#x2013;<lpage>1069</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neuroimage.2009.10.003</pub-id>, PMID: <pub-id pub-id-type="pmid">19819337</pub-id></citation></ref>
<ref id="ref57"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Schacter</surname> <given-names>D. L.</given-names></name> <name><surname>Addis</surname> <given-names>D. R.</given-names></name> <name><surname>Buckner</surname> <given-names>R. L.</given-names></name></person-group> (<year>2007</year>). <article-title>Remembering the past to imagine the future: the prospective brain</article-title>. <source>Nat. Rev. Neurosci.</source> <volume>8</volume>, <fpage>657</fpage>&#x2013;<lpage>661</lpage>. doi: <pub-id pub-id-type="doi">10.1038/nrn2213</pub-id>, PMID: <pub-id pub-id-type="pmid">17700624</pub-id></citation></ref>
<ref id="ref58"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Schacter</surname> <given-names>D. L.</given-names></name> <name><surname>Addis</surname> <given-names>D. R.</given-names></name> <name><surname>Buckner</surname> <given-names>R. L.</given-names></name></person-group> (<year>2008</year>). <article-title>Episodic simulation of future events: concepts, data, and applications</article-title>. <source>Ann. N. Y. Acad. Sci.</source> <volume>1124</volume>, <fpage>39</fpage>&#x2013;<lpage>60</lpage>. doi: <pub-id pub-id-type="doi">10.1196/annals.1440.001</pub-id></citation></ref>
<ref id="ref59"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Shin</surname> <given-names>D. J.</given-names></name> <name><surname>Jung</surname> <given-names>W. H.</given-names></name> <name><surname>He</surname> <given-names>Y.</given-names></name> <name><surname>Wang</surname> <given-names>J.</given-names></name> <name><surname>Shim</surname> <given-names>G.</given-names></name> <name><surname>Byun</surname> <given-names>M. S.</given-names></name> <etal/></person-group>. (<year>2014</year>). <article-title>The effects of pharmacological treatment on functional brain connectome in obsessive-compulsive disorder</article-title>. <source>Biol. Psychiatry</source> <volume>75</volume>, <fpage>606</fpage>&#x2013;<lpage>614</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.biopsych.2013.09.002</pub-id>, PMID: <pub-id pub-id-type="pmid">24099506</pub-id></citation></ref>
<ref id="ref60"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Squire</surname> <given-names>L. R.</given-names></name> <name><surname>Zola-Morgan</surname> <given-names>S.</given-names></name></person-group> (<year>1991</year>). <article-title>The medial temporal lobe memory system</article-title>. <source>Science</source> <volume>253</volume>, <fpage>1380</fpage>&#x2013;<lpage>1386</lpage>. doi: <pub-id pub-id-type="doi">10.1126/science.1896849</pub-id></citation></ref>
<ref id="ref61"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Story</surname> <given-names>G. W.</given-names></name> <name><surname>Moutoussis</surname> <given-names>M.</given-names></name> <name><surname>Dolan</surname> <given-names>R. J.</given-names></name></person-group> (<year>2016</year>). <article-title>A computational analysis of aberrant delay discounting in psychiatric disorders</article-title>. <source>Front. Psychol.</source> <volume>6</volume>:<fpage>1948</fpage>. doi: <pub-id pub-id-type="doi">10.3389/fpsyg.2015.01948</pub-id></citation></ref>
<ref id="ref62"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Tzourio-Mazoyer</surname> <given-names>N.</given-names></name> <name><surname>Landeau</surname> <given-names>B.</given-names></name> <name><surname>Papathanassiou</surname> <given-names>D.</given-names></name> <name><surname>Crivello</surname> <given-names>F.</given-names></name> <name><surname>Etard</surname> <given-names>O.</given-names></name> <name><surname>Delcroix</surname> <given-names>N.</given-names></name> <etal/></person-group>. (<year>2002</year>). <article-title>Automated anatomical labeling of activations in SPM using a macroscopic anatomical parcellation of the MNI MRI single-subject brain</article-title>. <source>NeuroImage</source> <volume>15</volume>, <fpage>273</fpage>&#x2013;<lpage>289</lpage>. doi: <pub-id pub-id-type="doi">10.1006/nimg.2001.0978</pub-id>, PMID: <pub-id pub-id-type="pmid">11771995</pub-id></citation></ref>
<ref id="ref63"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>Q.</given-names></name> <name><surname>Chen</surname> <given-names>C.</given-names></name> <name><surname>Cai</surname> <given-names>Y.</given-names></name> <name><surname>Li</surname> <given-names>S.</given-names></name> <name><surname>Zhao</surname> <given-names>X.</given-names></name> <name><surname>Zheng</surname> <given-names>L.</given-names></name> <etal/></person-group>. (<year>2016</year>). <article-title>Dissociated neural substrates underlying impulsive choice and impulsive action</article-title>. <source>NeuroImage</source> <volume>134</volume>, <fpage>540</fpage>&#x2013;<lpage>549</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.neuroimage.2016.04.010</pub-id>, PMID: <pub-id pub-id-type="pmid">27083527</pub-id></citation></ref>
<ref id="ref64"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>Q.</given-names></name> <name><surname>Wang</surname> <given-names>Y.</given-names></name> <name><surname>Wang</surname> <given-names>P.</given-names></name> <name><surname>Peng</surname> <given-names>M.</given-names></name> <name><surname>Zhang</surname> <given-names>M.</given-names></name> <name><surname>Zhu</surname> <given-names>Y.</given-names></name> <etal/></person-group>. (<year>2021a</year>). <article-title>Neural representations of the amount and the delay time of reward in intertemporal decision making</article-title>. <source>Hum. Brain Mapp.</source> <volume>42</volume>, <fpage>3450</fpage>&#x2013;<lpage>3469</lpage>. doi: <pub-id pub-id-type="doi">10.1002/hbm.25445</pub-id>, PMID: <pub-id pub-id-type="pmid">33934449</pub-id></citation></ref>
<ref id="ref65"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>Q.</given-names></name> <name><surname>Zhu</surname> <given-names>Y.</given-names></name> <name><surname>Wang</surname> <given-names>Y.</given-names></name> <name><surname>Chen</surname> <given-names>C.</given-names></name> <name><surname>He</surname> <given-names>Q.</given-names></name> <name><surname>Xue</surname> <given-names>G.</given-names></name></person-group> (<year>2021b</year>). <article-title>Intrinsic non-hub connectivity predicts human inter-temporal decision-making</article-title>. <source>Brain Imaging Behav.</source> <volume>15</volume>, <fpage>2005</fpage>&#x2013;<lpage>2016</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s11682-020-00395-3</pub-id>, PMID: <pub-id pub-id-type="pmid">33037972</pub-id></citation></ref>
<ref id="ref66"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Watts</surname> <given-names>D. J.</given-names></name> <name><surname>Strogatz</surname> <given-names>S. H.</given-names></name></person-group> (<year>1998</year>). <article-title>Collective dynamics of 'small-world' networks</article-title>. <source>Nature</source> <volume>393</volume>, <fpage>440</fpage>&#x2013;<lpage>442</lpage>. doi: <pub-id pub-id-type="doi">10.1038/30918</pub-id></citation></ref>
<ref id="ref67"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Whiteside</surname> <given-names>S. P.</given-names></name> <name><surname>Lynam</surname> <given-names>D. R.</given-names></name></person-group> (<year>2001</year>). <article-title>The five factor model and impulsivity: using a structural model of personality to understand impulsivity</article-title>. <source>Personal. Individ. Differ.</source> <volume>30</volume>, <fpage>669</fpage>&#x2013;<lpage>689</lpage>. doi: <pub-id pub-id-type="doi">10.1016/S0191-8869(00)00064-7</pub-id></citation></ref>
<ref id="ref68"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Winstanley</surname> <given-names>C. A.</given-names></name> <name><surname>Theobald</surname> <given-names>D. E.</given-names></name> <name><surname>Cardinal</surname> <given-names>R. N.</given-names></name> <name><surname>Robbins</surname> <given-names>T. W.</given-names></name></person-group> (<year>2004</year>). <article-title>Contrasting roles of basolateral amygdala and orbitofrontal cortex in impulsive choice</article-title>. <source>J. Neurosci.</source> <volume>24</volume>, <fpage>4718</fpage>&#x2013;<lpage>4722</lpage>. doi: <pub-id pub-id-type="doi">10.1523/JNEUROSCI.5606-03.2004</pub-id>, PMID: <pub-id pub-id-type="pmid">15152031</pub-id></citation></ref>
<ref id="ref69"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Xia</surname> <given-names>M.</given-names></name> <name><surname>Wang</surname> <given-names>J.</given-names></name> <name><surname>He</surname> <given-names>Y.</given-names></name></person-group> (<year>2013</year>). <article-title>BrainNet viewer: a network visualization tool for human brain connectomics</article-title>. <source>PLoS One</source> <volume>8</volume>:<fpage>e68910</fpage>. doi: <pub-id pub-id-type="doi">10.1371/journal.pone.0068910</pub-id>, PMID: <pub-id pub-id-type="pmid">23861951</pub-id></citation></ref>
<ref id="ref70"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yang</surname> <given-names>M.</given-names></name> <name><surname>Tsai</surname> <given-names>S. J.</given-names></name> <name><surname>Li</surname> <given-names>C. R.</given-names></name></person-group> (<year>2020</year>). <article-title>Concurrent amygdalar and ventromedial prefrontal cortical responses during emotion processing: a meta-analysis of the effects of valence of emotion and passive exposure versus active regulation</article-title>. <source>Brain Struct. Funct.</source> <volume>225</volume>, <fpage>345</fpage>&#x2013;<lpage>363</lpage>. doi: <pub-id pub-id-type="doi">10.1007/s00429-019-02007-3</pub-id>, PMID: <pub-id pub-id-type="pmid">31863185</pub-id></citation></ref>
<ref id="ref71"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yun</surname> <given-names>J. Y.</given-names></name> <name><surname>Boedhoe</surname> <given-names>P. S. W.</given-names></name> <name><surname>Vriend</surname> <given-names>C.</given-names></name> <name><surname>Jahanshad</surname> <given-names>N.</given-names></name> <name><surname>Abe</surname> <given-names>Y.</given-names></name> <name><surname>Ameis</surname> <given-names>S. H.</given-names></name> <etal/></person-group>. (<year>2020</year>). <article-title>Brain structural covariance networks in obsessive-compulsive disorder: a graph analysis from the ENIGMA consortium</article-title>. <source>Brain</source> <volume>143</volume>, <fpage>684</fpage>&#x2013;<lpage>700</lpage>. doi: <pub-id pub-id-type="doi">10.1093/brain/awaa001</pub-id>, PMID: <pub-id pub-id-type="pmid">32040561</pub-id></citation></ref>
<ref id="ref72"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zhang</surname> <given-names>Y.</given-names></name> <name><surname>Lin</surname> <given-names>L.</given-names></name> <name><surname>Lin</surname> <given-names>C. P.</given-names></name> <name><surname>Zhou</surname> <given-names>Y.</given-names></name> <name><surname>Chou</surname> <given-names>K. H.</given-names></name> <name><surname>Lo</surname> <given-names>C. Y.</given-names></name> <etal/></person-group>. (<year>2012</year>). <article-title>Abnormal topological organization of structural brain networks in schizophrenia</article-title>. <source>Schizophr. Res.</source> <volume>141</volume>, <fpage>109</fpage>&#x2013;<lpage>118</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.schres.2012.08.021</pub-id>, PMID: <pub-id pub-id-type="pmid">22981811</pub-id></citation></ref>
<ref id="ref73"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zhang</surname> <given-names>Y.</given-names></name> <name><surname>Qiu</surname> <given-names>T.</given-names></name> <name><surname>Yuan</surname> <given-names>X.</given-names></name> <name><surname>Zhang</surname> <given-names>J.</given-names></name> <name><surname>Wang</surname> <given-names>Y.</given-names></name> <name><surname>Zhang</surname> <given-names>N.</given-names></name> <etal/></person-group>. (<year>2019</year>). <article-title>Abnormal topological organization of structural covariance networks in amyotrophic lateral sclerosis</article-title>. <source>Neuroimage Clin.</source> <volume>21</volume>:<fpage>101619</fpage>. doi: <pub-id pub-id-type="doi">10.1016/j.nicl.2018.101619</pub-id>, PMID: <pub-id pub-id-type="pmid">30528369</pub-id></citation></ref>
<ref id="ref74"><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zielinski</surname> <given-names>B. A.</given-names></name> <name><surname>Gennatas</surname> <given-names>E. D.</given-names></name> <name><surname>Zhou</surname> <given-names>J.</given-names></name> <name><surname>Seeley</surname> <given-names>W. W.</given-names></name></person-group> (<year>2010</year>). <article-title>Network-level structural covariance in the developing brain</article-title>. <source>Proc. Natl. Acad. Sci.</source> <volume>107</volume>, <fpage>18191</fpage>&#x2013;<lpage>18196</lpage>. doi: <pub-id pub-id-type="doi">10.1073/pnas.1003109107</pub-id>, PMID: <pub-id pub-id-type="pmid">20921389</pub-id></citation></ref>
</ref-list>
<fn-group><fn id="fn0001"><p><sup>1</sup><ext-link xlink:href="http://www.neuro.uni-jena.de/cat" ext-link-type="uri">http://www.neuro.uni-jena.de/cat</ext-link></p></fn>
<fn id="fn0002"><p><sup>2</sup><ext-link xlink:href="http://www.fil.ion.ucl.ac.uk/spm/" ext-link-type="uri">http://www.fil.ion.ucl.ac.uk/spm/</ext-link></p></fn>
<fn id="fn0003"><p><sup>3</sup><ext-link xlink:href="https://sites.google.com/site/bctnet/" ext-link-type="uri">https://sites.google.com/site/bctnet/</ext-link></p></fn></fn-group>
</back>
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