{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T15:50:31Z","timestamp":1781020231020,"version":"3.54.1"},"reference-count":92,"publisher":"Public Library of Science (PLoS)","issue":"1","license":[{"start":{"date-parts":[[2025,1,7]],"date-time":"2025-01-07T00:00:00Z","timestamp":1736208000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000781","name":"European Research Council","doi-asserted-by":"publisher","award":["864729"],"award-info":[{"award-number":["864729"]}],"id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100022554","name":"Paris Brain Institute","doi-asserted-by":"crossref","award":["BBT.3300.ATTACK"],"award-info":[{"award-number":["BBT.3300.ATTACK"]}],"id":[{"id":"10.13039\/501100022554","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100000925","name":"National Health and Medical Research Council","doi-asserted-by":"publisher","award":["1161356"],"award-info":[{"award-number":["1161356"]}],"id":[{"id":"10.13039\/501100000925","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001711","name":"Swiss National Science Foundation","doi-asserted-by":"crossref","award":["P2BEP3_195283"],"award-info":[{"award-number":["P2BEP3_195283"]}],"id":[{"id":"10.13039\/501100001711","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["www.ploscompbiol.org"],"crossmark-restriction":false},"short-container-title":["PLoS Comput Biol"],"abstract":"<jats:p>Identifying the driver nodes of a network has crucial implications in biological systems from unveiling causal interactions to informing effective intervention strategies. Despite recent advances in network control theory, results remain inaccurate as the number of drivers becomes too small compared to the network size, thus limiting the concrete usability in many real-life applications. To overcome this issue, we introduced a framework that integrates principles from spectral graph theory and output controllability to project the network state into a smaller topological space formed by the Laplacian network structure. Through extensive simulations on synthetic and real networks, we showed that a relatively low number of projected components can significantly improve the control accuracy. By introducing a new low-dimensional controllability metric we experimentally validated our method on N = 6134 human connectomes obtained from the UK-biobank cohort. Results revealed previously unappreciated influential brain regions, enabled to draw directed maps between differently specialized cerebral systems, and yielded new insights into hemispheric lateralization. Taken together, our results offered a theoretically grounded solution to deal with network controllability and provided insights into the causal interactions of the human brain.<\/jats:p>","DOI":"10.1371\/journal.pcbi.1012691","type":"journal-article","created":{"date-parts":[[2025,1,7]],"date-time":"2025-01-07T13:44:16Z","timestamp":1736257456000},"page":"e1012691","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":7,"title":["Low-dimensional controllability of brain networks"],"prefix":"10.1371","volume":"21","author":[{"given":"Remy","family":"Ben Messaoud","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Vincent","family":"Le Du","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Camile","family":"Bousfiha","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6262-5036","authenticated-orcid":true,"given":"Marie-Constance","family":"Corsi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Juliana","family":"Gonzalez-Astudillo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0766-8068","authenticated-orcid":true,"given":"Brigitte Charlotte","family":"Kaufmann","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5383-8910","authenticated-orcid":true,"given":"Tristan","family":"Venot","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Baptiste","family":"Couvy-Duchesne","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Raffaella","family":"Migliaccio","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Charlotte","family":"Rosso","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2640-6426","authenticated-orcid":true,"given":"Paolo","family":"Bartolomeo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mario","family":"Chavez","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8035-7883","authenticated-orcid":true,"given":"Fabrizio","family":"De Vico Fallani","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"340","published-online":{"date-parts":[[2025,1,7]]},"reference":[{"issue":"3","key":"pcbi.1012691.ref001","article-title":"Control Principles of Complex Networks","volume":"88","author":"YY Liu","year":"2016","journal-title":"Rev Mod Phys"},{"key":"pcbi.1012691.ref002","doi-asserted-by":"crossref","first-page":"8414","DOI":"10.1038\/ncomms9414","article-title":"Controllability of structural brain networks","volume":"6","author":"S Gu","year":"2015","journal-title":"Nat Commun"},{"issue":"7346","key":"pcbi.1012691.ref003","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1038\/nature10011","article-title":"Controllability of complex networks","volume":"473","author":"YY Liu","year":"2011","journal-title":"Nature"},{"issue":"1","key":"pcbi.1012691.ref004","doi-asserted-by":"crossref","first-page":"012803","DOI":"10.1103\/PhysRevE.91.012803","article-title":"Optimal pinning controllability of complex networks: Dependence on network structure","volume":"91","author":"M Jalili","year":"2015","journal-title":"Phys Rev E"},{"issue":"1","key":"pcbi.1012691.ref005","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1109\/TCNS.2014.2310254","article-title":"Controllability Metrics, Limitations and Algorithms for Complex Networks","volume":"1","author":"F Pasqualetti","year":"2014","journal-title":"IEEE Trans Control Netw Syst"},{"issue":"1","key":"pcbi.1012691.ref006","doi-asserted-by":"crossref","first-page":"40198","DOI":"10.1038\/srep40198","article-title":"Physical controllability of complex networks","volume":"7","author":"LZ Wang","year":"2017","journal-title":"Sci Rep"},{"key":"pcbi.1012691.ref007","article-title":"Minimum energy control for complex networks","volume":"14","author":"G. Lindmark","year":"2018","journal-title":"Sci Rep"},{"issue":"7677","key":"pcbi.1012691.ref008","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1038\/nature24056","article-title":"Network control principles predict neuron function in the Caenorhabditis elegans connectome","volume":"550","author":"G Yan","year":"2017","journal-title":"Nature"},{"key":"pcbi.1012691.ref009","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/j.neubiorev.2017.01.016","article-title":"Brain and cognitive reserve: Translation via network control theory","volume":"75","author":"JD Medaglia","year":"2017","journal-title":"Neurosci Biobehav Rev"},{"issue":"35","key":"pcbi.1012691.ref010","doi-asserted-by":"crossref","first-page":"6770","DOI":"10.1523\/JNEUROSCI.0531-20.2020","article-title":"Structural Controllability Predicts Functional Patterns and Brain Stimulation Benefits Associated with Working Memory","volume":"40","author":"L Beynel","year":"2020","journal-title":"J Neurosci"},{"key":"pcbi.1012691.ref011","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/j.neuroimage.2018.04.010","article-title":"Warnings and caveats in brain controllability","volume":"176","author":"C Tu","year":"2018","journal-title":"NeuroImage"},{"key":"pcbi.1012691.ref012","doi-asserted-by":"crossref","first-page":"552","DOI":"10.1016\/j.neuroimage.2019.07.012","article-title":"Brain controllability: Not a slam dunk yet","volume":"200","author":"S Suweis","year":"2019","journal-title":"NeuroImage"},{"issue":"1","key":"pcbi.1012691.ref013","doi-asserted-by":"crossref","first-page":"016044","DOI":"10.1088\/1741-2552\/acb256","article-title":"Network controllability measures of subnetworks: implications for neurosciences","volume":"20","author":"JE Stocker","year":"2023","journal-title":"J Neural Eng"},{"issue":"20","key":"pcbi.1012691.ref014","doi-asserted-by":"crossref","first-page":"208701","DOI":"10.1103\/PhysRevLett.110.208701","article-title":"Controllability Transition and Nonlocality in Network Control","volume":"110","author":"J Sun","year":"2013","journal-title":"Phys Rev Lett"},{"issue":"1","key":"pcbi.1012691.ref015","doi-asserted-by":"crossref","first-page":"5415","DOI":"10.1038\/ncomms6415","article-title":"Target control of complex networks","volume":"5","author":"J Gao","year":"2014","journal-title":"Nat Commun"},{"issue":"1","key":"pcbi.1012691.ref016","doi-asserted-by":"crossref","first-page":"15145","DOI":"10.1038\/ncomms15145","article-title":"Energy scaling of targeted optimal control of complex networks","volume":"8","author":"I Klickstein","year":"2017","journal-title":"Nat Commun"},{"issue":"2","key":"pcbi.1012691.ref017","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1162\/netn_a_00180","article-title":"Stepwise target controllability identifies dysregulations of macrophage networks in multiple sclerosis","volume":"5","author":"G Bassignana","year":"2021","journal-title":"Netw Neurosci"},{"issue":"2","key":"pcbi.1012691.ref018","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1109\/TAC.1964.1105665","article-title":"On the concepts of controllability and observability of linear systems","volume":"9","author":"E Kreindler","year":"1964","journal-title":"IEEE Trans Autom Control"},{"issue":"4","key":"pcbi.1012691.ref019","doi-asserted-by":"crossref","first-page":"1778","DOI":"10.1109\/TCNS.2020.3000694","article-title":"Model Reduction Based Approximation of the Output Controllability Gramian in Large-Scale Networks","volume":"7","author":"G Casadei","year":"2020","journal-title":"IEEE Trans Control Netw Syst"},{"key":"pcbi.1012691.ref020","doi-asserted-by":"crossref","DOI":"10.7554\/eLife.67400","article-title":"The structural connectome constrains fast brain dynamics","volume":"10","author":"P Sorrentino","year":"2021","journal-title":"eLife"},{"issue":"4","key":"pcbi.1012691.ref021","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/j.physrep.2005.10.009","article-title":"Complex networks: Structure and dynamics","volume":"424","author":"S Boccaletti","year":"2006","journal-title":"Phys Rep"},{"key":"pcbi.1012691.ref022","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-26641-1","volume-title":"Dynamical Systems on Networks: A Tutorial","author":"M Porter","year":"2016"},{"key":"pcbi.1012691.ref023","unstructured":"Chung FRK. Spectral graph theory. Providence, R.I.: Published for the Conference Board of the mathematical sciences by the American Mathematical Society; 1997. 212 p. (Regional conference series in mathematics)."},{"key":"pcbi.1012691.ref024","first-page":"408","volume-title":"Optimal Control: Linear Quadratic Methods","author":"BDO Anderson","year":"1990"},{"key":"pcbi.1012691.ref025","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1016\/j.automatica.2016.03.013","article-title":"Controllability of networked MIMO systems","volume":"69","author":"L Wang","year":"2016","journal-title":"Automatica"},{"issue":"1","key":"pcbi.1012691.ref026","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/j.biosystems.2006.02.008","article-title":"Small-world connectivity, motif composition, and complexity of fractal neuronal connections","volume":"85","author":"O. Sporns","year":"2006","journal-title":"Biosystems"},{"key":"pcbi.1012691.ref027","first-page":"446","volume-title":"Introduction to dynamic systems: theory, models, and applications","author":"DG Luenberger","year":"1979"},{"issue":"32","key":"pcbi.1012691.ref028","doi-asserted-by":"crossref","DOI":"10.1073\/pnas.2122566119","article-title":"Prevalence and scalable control of localized networks","volume":"119","author":"C Duan","year":"2022","journal-title":"Proc Natl Acad Sci"},{"issue":"4","key":"pcbi.1012691.ref029","doi-asserted-by":"crossref","first-page":"041103","DOI":"10.1063\/1.4979647","article-title":"Optimal control of complex networks: Balancing accuracy and energy of the control action","volume":"27","author":"A Shirin","year":"2017","journal-title":"Chaos Interdiscip J Nonlinear Sci"},{"issue":"2","key":"pcbi.1012691.ref030","doi-asserted-by":"crossref","first-page":"026031","DOI":"10.1088\/1741-2552\/ab6e8b","article-title":"A practical guide to methodological considerations in the controllability of structural brain networks","volume":"17","author":"TM Karrer","year":"2020","journal-title":"J Neural Eng"},{"key":"pcbi.1012691.ref031","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1146\/annurev-psych-122414-033634","article-title":"Modular Brain Networks","volume":"67","author":"O Sporns","year":"2016","journal-title":"Annu Rev Psychol"},{"issue":"31","key":"pcbi.1012691.ref032","doi-asserted-by":"crossref","first-page":"13040","DOI":"10.1073\/pnas.0905267106","article-title":"Correspondence of the brain\u2019s functional architecture during activation and rest","volume":"106","author":"SM Smith","year":"2009","journal-title":"Proc Natl Acad Sci"},{"issue":"5","key":"pcbi.1012691.ref033","doi-asserted-by":"crossref","first-page":"1653","DOI":"10.1093\/brain\/awab362","article-title":"A brain atlas of axonal and synaptic delays based on modelling of cortico-cortical evoked potentials","volume":"145","author":"JD Lemar\u00e9chal","year":"2021","journal-title":"Brain"},{"issue":"1","key":"pcbi.1012691.ref034","doi-asserted-by":"crossref","first-page":"465","DOI":"10.1146\/annurev-control-042920-014957","article-title":"Energy-Aware Controllability of Complex Networks","volume":"5","author":"G Baggio","year":"2022","journal-title":"Annu Rev Control Robot Auton Syst"},{"issue":"9","key":"pcbi.1012691.ref035","first-page":"3095","article-title":"Local-Global Parcellation of the Human Cerebral Cortex from Intrinsic Functional Connectivity MRI","volume":"28","author":"A Schaefer","year":"2018","journal-title":"Cereb Cortex N Y N 1991"},{"issue":"3","key":"pcbi.1012691.ref036","doi-asserted-by":"crossref","first-page":"1125","DOI":"10.1152\/jn.00338.2011","article-title":"The organization of the human cerebral cortex estimated by intrinsic functional connectivity","volume":"106","author":"BT Thomas Yeo","year":"2011","journal-title":"J Neurophysiol"},{"issue":"3","key":"pcbi.1012691.ref037","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1038\/s41567-022-01866-8","article-title":"Laplacian renormalization group for heterogeneous networks","volume":"19","author":"P Villegas","year":"2023","journal-title":"Nat Phys"},{"issue":"17","key":"pcbi.1012691.ref038","doi-asserted-by":"crossref","first-page":"174104","DOI":"10.1103\/PhysRevLett.100.174104","article-title":"Spectral Coarse Graining and Synchronization in Oscillator Networks","volume":"100","author":"D Gfeller","year":"2008","journal-title":"Phys Rev Lett"},{"issue":"3","key":"pcbi.1012691.ref039","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1109\/MSP.2012.2235192","article-title":"The emerging field of signal processing on graphs: Extending high-dimensional data analysis to networks and other irregular domains","volume":"30","author":"DI Shuman","year":"2013","journal-title":"IEEE Signal Process Mag"},{"issue":"1","key":"pcbi.1012691.ref040","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/j.tics.2017.11.002","article-title":"Large-Scale Gradients in Human Cortical Organization","volume":"22","author":"JM Huntenburg","year":"2018","journal-title":"Trends Cogn Sci"},{"issue":"1","key":"pcbi.1012691.ref041","doi-asserted-by":"crossref","first-page":"4747","DOI":"10.1038\/s41467-019-12765-7","article-title":"Decoupling of brain function from structure reveals regional behavioral specialization in humans","volume":"10","author":"MG Preti","year":"2019","journal-title":"Nat Commun"},{"issue":"3","key":"pcbi.1012691.ref042","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1109\/MSP.2012.2233865","article-title":"Machine Learning with Brain Graphs: Predictive Modeling Approaches for Functional Imaging in Systems Neuroscience","volume":"30","author":"J Richiardi","year":"2013","journal-title":"IEEE Signal Process Mag"},{"issue":"2","key":"pcbi.1012691.ref043","doi-asserted-by":"crossref","first-page":"322","DOI":"10.1162\/netn_a_00183","article-title":"Gradients of connectivity as graph Fourier bases of brain activity","volume":"5","author":"G Lioi","year":"2021","journal-title":"Netw Neurosci"},{"issue":"5","key":"pcbi.1012691.ref044","doi-asserted-by":"crossref","first-page":"868","DOI":"10.1109\/JPROC.2018.2798928","article-title":"A Graph Signal Processing Perspective on Functional Brain Imaging","volume":"106","author":"W Huang","year":"2018","journal-title":"Proc IEEE"},{"issue":"9","key":"pcbi.1012691.ref045","doi-asserted-by":"crossref","first-page":"779","DOI":"10.1038\/nphys3422","article-title":"Spectrum of controlling and observing complex networks","volume":"11","author":"G Yan","year":"2015","journal-title":"Nat Phys"},{"issue":"4","key":"pcbi.1012691.ref046","doi-asserted-by":"crossref","first-page":"250","DOI":"10.1038\/s42254-023-00566-3","article-title":"Controlling complex networks with complex nodes","volume":"5","author":"RM D\u2019Souza","year":"2023","journal-title":"Nat Rev Phys"},{"issue":"6","key":"pcbi.1012691.ref047","doi-asserted-by":"crossref","first-page":"2035","DOI":"10.1073\/pnas.0811168106","article-title":"Predicting human resting-state functional connectivity from structural connectivity","volume":"106","author":"CJ Honey","year":"2009","journal-title":"Proc Natl Acad Sci"},{"issue":"1","key":"pcbi.1012691.ref048","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1038\/s42003-020-0961-x","article-title":"Temporal sequences of brain activity at rest are constrained by white matter structure and modulated by cognitive demands","volume":"3","author":"EJ Cornblath","year":"2020","journal-title":"Commun Biol"},{"issue":"1","key":"pcbi.1012691.ref049","doi-asserted-by":"crossref","first-page":"3478","DOI":"10.1038\/s41467-021-23694-9","article-title":"Brain network dynamics during working memory are modulated by dopamine and diminished in schizophrenia","volume":"12","author":"U Braun","year":"2021","journal-title":"Nat Commun"},{"issue":"3","key":"pcbi.1012691.ref050","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/S1474-4422(03)00321-1","article-title":"Transcranial magnetic stimulation in neurology","volume":"2","author":"M Kobayashi","year":"2003","journal-title":"Lancet Neurol"},{"key":"pcbi.1012691.ref051","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1016\/j.neubiorev.2016.08.036","article-title":"Subcortical contributions to large-scale network communication","volume":"71","author":"PT Bell","year":"2016","journal-title":"Neurosci Biobehav Rev"},{"issue":"6","key":"pcbi.1012691.ref052","first-page":"1418","article-title":"Maximizing brain networks engagement via individualized connectome-wide target search","volume":"15","author":"A Menardi","year":"2022","journal-title":"Brain Stimul Basic Transl Clin Res Neuromodulation"},{"issue":"3","key":"pcbi.1012691.ref053","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1038\/nrn755","article-title":"Control of goal-directed and stimulus-driven attention in the brain","volume":"3","author":"M Corbetta","year":"2002","journal-title":"Nat Rev Neurosci"},{"issue":"10","key":"pcbi.1012691.ref054","doi-asserted-by":"crossref","first-page":"1245","DOI":"10.1038\/nn.2905","article-title":"A lateralized brain network for visuospatial attention","volume":"14","author":"MT de Schotten","year":"2011","journal-title":"Nat Neurosci"},{"key":"pcbi.1012691.ref055","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-030-34090-2","volume-title":"Emotions and the Right Side of the Brain","author":"G Gainotti","year":"2020"},{"issue":"2","key":"pcbi.1012691.ref056","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/S0028-3932(00)00105-6","article-title":"Cerebral dominance for action in the human brain: the selection of actions","volume":"39","author":"ND Schluter","year":"2001","journal-title":"Neuropsychologia"},{"issue":"2","key":"pcbi.1012691.ref057","doi-asserted-by":"crossref","first-page":"697","DOI":"10.1007\/s00429-021-02277-w","article-title":"Hemispheric asymmetries in visual mental imagery","volume":"227","author":"J Liu","year":"2022","journal-title":"Brain Struct Funct"},{"issue":"48","key":"pcbi.1012691.ref058","doi-asserted-by":"crossref","first-page":"20499","DOI":"10.1073\/pnas.0908073106","article-title":"Evidence from intrinsic activity that asymmetry of the human brain is controlled by multiple factors","volume":"106","author":"H Liu","year":"2009","journal-title":"Proc Natl Acad Sci"},{"issue":"10","key":"pcbi.1012691.ref059","doi-asserted-by":"crossref","first-page":"3640","DOI":"10.1523\/JNEUROSCI.4085-09.2010","article-title":"Right Hemisphere Dominance during Spatial Selective Attention and Target Detection Occurs Outside the Dorsal Frontoparietal Network","volume":"30","author":"GL Shulman","year":"2010","journal-title":"J Neurosci"},{"issue":"6","key":"pcbi.1012691.ref060","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1016\/S0149-7634(01)00028-8","article-title":"The attentive homunculus: Now you see it, now you don\u2019t","volume":"25","author":"AC Nobre","year":"2001","journal-title":"Neurosci Biobehav Rev"},{"issue":"3","key":"pcbi.1012691.ref061","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1016\/j.rehab.2016.01.004","article-title":"Attention and spatial cognition: Neural and anatomical substrates of visual neglect","volume":"60","author":"M Lunven","year":"2017","journal-title":"Ann Phys Rehabil Med"},{"key":"pcbi.1012691.ref062","article-title":"A Connectomic Atlas of the Human Cerebrum-Chapter 1: Introduction, Methods, and Significance","volume":"15","author":"CM Baker","year":"2018","journal-title":"Oper Neurosurg Hagerstown Md"},{"issue":"6","key":"pcbi.1012691.ref063","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1016\/j.tics.2010.04.004","article-title":"Large-scale brain networks in cognition: emerging methods and principles","volume":"14","author":"SL Bressler","year":"2010","journal-title":"Trends Cogn Sci"},{"issue":"7","key":"pcbi.1012691.ref064","doi-asserted-by":"crossref","first-page":"1293","DOI":"10.1093\/brain\/123.7.1293","article-title":"Cerebral specialization and interhemispheric communication: Does the corpus callosum enable the human condition?","volume":"123","author":"MS Gazzaniga","year":"2000","journal-title":"Brain"},{"issue":"46","key":"pcbi.1012691.ref065","doi-asserted-by":"crossref","first-page":"18661","DOI":"10.1073\/pnas.1216402109","article-title":"Dynamic network structure of interhemispheric coordination","volume":"109","author":"KW Doron","year":"2012","journal-title":"Proc Natl Acad Sci"},{"issue":"1","key":"pcbi.1012691.ref066","doi-asserted-by":"crossref","first-page":"10246","DOI":"10.1038\/s41598-018-28467-x","article-title":"Role of inter-hemispheric connections in functional brain networks","volume":"8","author":"JH Mart\u00ednez","year":"2018","journal-title":"Sci Rep"},{"issue":"9","key":"pcbi.1012691.ref067","doi-asserted-by":"crossref","first-page":"1104","DOI":"10.1016\/j.neurol.2021.07.015","article-title":"From competition to cooperation: Visual neglect across the hemispheres","volume":"177","author":"P. Bartolomeo","year":"2021","journal-title":"Rev Neurol (Paris)"},{"issue":"4","key":"pcbi.1012691.ref068","doi-asserted-by":"crossref","first-page":"1122","DOI":"10.1162\/netn_a_00158","article-title":"Models of communication and control for brain networks: distinctions, convergence, and future outlook","volume":"4","author":"P Srivastava","year":"2020","journal-title":"Netw Neurosci"},{"issue":"44","key":"pcbi.1012691.ref069","doi-asserted-by":"crossref","first-page":"12574","DOI":"10.1073\/pnas.1608282113","article-title":"Situating the default-mode network along a principal gradient of macroscale cortical organization","volume":"113","author":"DS Margulies","year":"2016","journal-title":"Proc Natl Acad Sci U S A"},{"key":"pcbi.1012691.ref070","unstructured":"T. S. Malkinson, Dimitri J. Bayle, Brigitte C. Kaufmann, Jianghao Liu, Alexia Bourgeois, Katia Lehongre, et al. From perception to action: Intracortical recordings reveal cortical gradients of human exogenous attention. bioRxiv. 2022 Jan 1;2021.01.02.425103."},{"issue":"36","key":"pcbi.1012691.ref071","doi-asserted-by":"crossref","DOI":"10.1073\/pnas.1302581110","article-title":"Two distinct forms of functional lateralization in the human brain","volume":"110","author":"SJ Gotts","year":"2013","journal-title":"Proc Natl Acad Sci"},{"issue":"6","key":"pcbi.1012691.ref072","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1016\/j.biopsych.2023.09.014","article-title":"Closed-Loop Brain Stimulation","volume":"95","author":"C Zrenner","year":"2024","journal-title":"Biol Psychiatry"},{"issue":"2","key":"pcbi.1012691.ref073","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1038\/s41593-017-0054-4","article-title":"Studying and modifying brain function with non-invasive brain stimulation","volume":"21","author":"R Polan\u00eda","year":"2018","journal-title":"Nat Neurosci"},{"key":"pcbi.1012691.ref074","doi-asserted-by":"crossref","DOI":"10.3389\/fnins.2016.00574","article-title":"Editorial: Non-invasive Brain Stimulation in Neurology and Psychiatry","volume":"10","author":"I Obeso","year":"2016","journal-title":"Front Neurosci"},{"issue":"5","key":"pcbi.1012691.ref075","doi-asserted-by":"crossref","DOI":"10.1371\/annotation\/2c9bfbcb-6b96-4d77-bfe3-10c5988150b8","article-title":"On How Network Architecture Determines the Dominant Patterns of Spontaneous Neural Activity","volume":"3","author":"RF Gal\u00e1n","year":"2008","journal-title":"PLoS ONE"},{"issue":"1","key":"pcbi.1012691.ref076","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1038\/s41551-023-01117-y","article-title":"Macroscopic resting-state brain dynamics are best described by linear models","volume":"8","author":"E Nozari","year":"2024","journal-title":"Nat Biomed Eng"},{"issue":"10","key":"pcbi.1012691.ref077","article-title":"How Do Efficient Coding Strategies Depend on Origins of Noise in Neural Circuits?","volume":"12","author":"BAW Brinkman","year":"2016","journal-title":"PLoS Comput Biol"},{"issue":"2","key":"pcbi.1012691.ref078","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/j.neuroimage.2011.03.056","article-title":"Networks, noise and models: reconceptualizing the brain as a complex, distributed system","volume":"58","author":"M Breakspear","year":"2011","journal-title":"NeuroImage"},{"issue":"4","key":"pcbi.1012691.ref079","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pcbi.1003548","article-title":"Mechanisms of Zero-Lag Synchronization in Cortical Motifs","volume":"10","author":"LL Gollo","year":"2014","journal-title":"PLoS Comput Biol"},{"key":"pcbi.1012691.ref080","doi-asserted-by":"crossref","first-page":"497","DOI":"10.1007\/978-3-030-43395-6_17","volume-title":"Neural Engineering","author":"JZ Kim","year":"2020"},{"issue":"2","key":"pcbi.1012691.ref081","doi-asserted-by":"crossref","first-page":"786","DOI":"10.1109\/TSMC.2018.2882620","article-title":"Optimizing Pinning Control of Complex Dynamical Networks Based on Spectral Properties of Grounded Laplacian Matrices","volume":"51","author":"H Liu","year":"2021","journal-title":"IEEE Trans Syst Man Cybern Syst"},{"key":"pcbi.1012691.ref082","first-page":"496","volume-title":"Fundamentals of Brain Network Analysis","author":"A Fornito","year":"2016"},{"key":"pcbi.1012691.ref083","doi-asserted-by":"crossref","DOI":"10.3389\/fnins.2010.00200","article-title":"Modular and Hierarchically Modular Organization of Brain Networks","volume":"4","author":"D Meunier","year":"2010","journal-title":"Front Neurosci"},{"issue":"3","key":"pcbi.1012691.ref084","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pmed.1001779","article-title":"UK Biobank: An Open Access Resource for Identifying the Causes of a Wide Range of Complex Diseases of Middle and Old Age","volume":"12","author":"C Sudlow","year":"2015","journal-title":"PLoS Med"},{"key":"pcbi.1012691.ref085","doi-asserted-by":"crossref","first-page":"400","DOI":"10.1016\/j.neuroimage.2017.10.034","article-title":"Image processing and Quality Control for the first 10,000 brain imaging datasets from UK Biobank","volume":"166","author":"F Alfaro-Almagro","year":"2018","journal-title":"NeuroImage"},{"key":"pcbi.1012691.ref086","doi-asserted-by":"crossref","first-page":"116137","DOI":"10.1016\/j.neuroimage.2019.116137","article-title":"MRtrix3: A fast, flexible and open software framework for medical image processing and visualisation","volume":"202","author":"JD Tournier","year":"2019","journal-title":"NeuroImage"},{"issue":"2","key":"pcbi.1012691.ref087","doi-asserted-by":"crossref","first-page":"782","DOI":"10.1016\/j.neuroimage.2011.09.015","article-title":"FSL","volume":"62","author":"M Jenkinson","year":"2012","journal-title":"NeuroImage"},{"key":"pcbi.1012691.ref088","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1016\/j.media.2018.10.009","article-title":"Reproducibility and intercorrelation of graph theoretical measures in structural brain connectivity networks","volume":"52","author":"T Roine","year":"2019","journal-title":"Med Image Anal"},{"issue":"1","key":"pcbi.1012691.ref089","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1162\/netn_a_00170","article-title":"Combining network topology and information theory to construct representative brain networks","volume":"5","author":"AI Luppi","year":"2021","journal-title":"Netw Neurosci"},{"key":"pcbi.1012691.ref090","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1016\/j.neuroimage.2014.10.004","article-title":"The effects of SIFT on the reproducibility and biological accuracy of the structural connectome","volume":"104","author":"RE Smith","year":"2015","journal-title":"NeuroImage"},{"key":"pcbi.1012691.ref091","doi-asserted-by":"crossref","first-page":"120010","DOI":"10.1016\/j.neuroimage.2023.120010","article-title":"Homotopic local-global parcellation of the human cerebral cortex from resting-state functional connectivity","volume":"273","author":"X Yan","year":"2023","journal-title":"NeuroImage"},{"key":"pcbi.1012691.ref092","doi-asserted-by":"crossref","DOI":"10.3389\/fnins.2013.00267","article-title":"MEG and EEG data analysis with MNE-Python","volume":"7","author":"A Gramfort","year":"2013","journal-title":"Front Neurosci"}],"updated-by":[{"DOI":"10.1371\/journal.pcbi.1013601","type":"correction","label":"Correction","source":"publisher","updated":{"date-parts":[[2025,10,21]],"date-time":"2025-10-21T00:00:00Z","timestamp":1761004800000}}],"container-title":["PLOS Computational Biology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1012691","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T23:43:41Z","timestamp":1758843821000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1012691"}},"subtitle":[],"editor":[{"given":"Laura","family":"Marzetti","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"editor"}]}],"short-title":[],"issued":{"date-parts":[[2025,1,7]]},"references-count":92,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2025,1,7]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pcbi.1012691","relation":{},"ISSN":["1553-7358"],"issn-type":[{"value":"1553-7358","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,1,7]]}}}