{"id":"https://openalex.org/W7223674907","doi":"https://doi.org/10.48550/arxiv.2610.32328","title":"From Heterogeneity to Function: Enhanced Modular Dynamic Range in Hierarchical Brain Networks","display_name":"From Heterogeneity to Function: Enhanced Modular Dynamic Range in Hierarchical Brain Networks","publication_year":2026,"publication_date":"2026-10-23","ids":{"openalex":"https://openalex.org/W7223674907","doi":"https://doi.org/10.48550/arxiv.2610.32328"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.32328","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.32328","pdf_url":"https://arxiv.org/pdf/2610.32328","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.32328","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159604572","display_name":"Filipe V. Torres","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Torres, Filipe V.","raw_affiliation_strings":["Departamento de F\u00edsica , Centro de Ci\u00eancia Exatas e da Natureza , Universidade Federal de Pernambuco , Recife , PE 50670-901 , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica , Centro de Ci\u00eancia Exatas e da Natureza , Universidade Federal de Pernambuco , Recife , PE 50670-901 , Brazil","institution_ids":["https://openalex.org/I25112270"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022049247","display_name":"Mauro Copelli","orcid":"https://orcid.org/0000-0001-7441-2858","observed_orcids":["https://orcid.org/0000-0001-7441-2858"]},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Copelli, Mauro","raw_affiliation_strings":["Departamento de F\u00edsica , Centro de Ci\u00eancia Exatas e da Natureza , Universidade Federal de Pernambuco , Recife , PE 50670-901 , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica , Centro de Ci\u00eancia Exatas e da Natureza , Universidade Federal de Pernambuco , Recife , PE 50670-901 , Brazil","institution_ids":["https://openalex.org/I25112270"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013568992","display_name":"Leonardo L. Gollo","orcid":"https://orcid.org/0000-0003-3505-9259","observed_orcids":["https://orcid.org/0000-0003-3505-9259"]},"institutions":[{"id":"https://openalex.org/I4210095952","display_name":"Institute for Cross-Disciplinary Physics and Complex Systems","ror":"https://ror.org/00pfxsh56","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210095952","https://openalex.org/I50441567"]},{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU","ES"],"is_corresponding":false,"raw_author_name":"Gollo, Leonardo L.","raw_affiliation_strings":["Brain Networks and Modelling Laboratory , The Turner Institute for Brain and Mental Health , School of Psychological Sciences , and Monash Biomedical Imaging , Monash University , Victoria 3168 , Australia","Instituto de F\u00edsica Interdisciplinar y Sistemas Complejos , IFISC (UIB-CSIC) , Palma de Mallorca , Campus Universitat de les Illes Balears , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Brain Networks and Modelling Laboratory , The Turner Institute for Brain and Mental Health , School of Psychological Sciences , and Monash Biomedical Imaging , Monash University , Victoria 3168 , Australia","institution_ids":["https://openalex.org/I56590836"]},{"raw_affiliation_string":"Instituto de F\u00edsica Interdisciplinar y Sistemas Complejos , IFISC (UIB-CSIC) , Palma de Mallorca , Campus Universitat de les Illes Balears , Spain","institution_ids":["https://openalex.org/I4210095952"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9580000042915344,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9580000042915344,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.019500000402331352,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.00279999990016222,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/modular-dynamics","display_name":"modular dynamics","score":0.7279999852180481},{"id":"https://openalex.org/keywords/dynamic-range","display_name":"dynamic range","score":0.9549999833106995},{"id":"https://openalex.org/keywords/network-heterogeneity","display_name":"network heterogeneity","score":0.8360000252723694},{"id":"https://openalex.org/keywords/critical-slowing-down","display_name":"critical slowing down","score":0.8740000128746033},{"id":"https://openalex.org/keywords/intrinsic-timescales","display_name":"intrinsic timescales","score":0.8610000014305115},{"id":"https://openalex.org/keywords/scaling-exponents","display_name":"scaling exponents","score":0.8640000224113464},{"id":"https://openalex.org/keywords/functional-specialization","display_name":"functional specialization","score":0.6980000138282776},{"id":"https://openalex.org/keywords/local-stimulation","display_name":"local stimulation","score":0.45899999141693115},{"id":"https://openalex.org/keywords/hierarchical-levels","display_name":"hierarchical levels","score":0.4729999899864197},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"distributed computing","score":0.6309999823570251}],"concepts":[{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.8883000016212463},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6432999968528748},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.48100000619888306},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.45559999346733093},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.45489999651908875},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.43479999899864197},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.42399999499320984},{"id":"https://openalex.org/C2779478453","wikidata":"https://www.wikidata.org/wiki/Q6889748","display_name":"Modularity (biology)","level":2,"score":0.3959999978542328},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.37880000472068787},{"id":"https://openalex.org/C158207573","wikidata":"https://www.wikidata.org/wiki/Q5747224","display_name":"Heterogeneous network","level":4,"score":0.35740000009536743},{"id":"https://openalex.org/C66024118","wikidata":"https://www.wikidata.org/wiki/Q1122506","display_name":"Computational model","level":2,"score":0.3440999984741211},{"id":"https://openalex.org/C123757187","wikidata":"https://www.wikidata.org/wiki/Q9195957","display_name":"Network dynamics","level":2,"score":0.3425000011920929},{"id":"https://openalex.org/C13540734","wikidata":"https://www.wikidata.org/wiki/Q5318996","display_name":"Dynamic network analysis","level":2,"score":0.3400000035762787},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.32670000195503235},{"id":"https://openalex.org/C124527596","wikidata":"https://www.wikidata.org/wiki/Q17029359","display_name":"Hierarchical control system","level":3,"score":0.32350000739097595},{"id":"https://openalex.org/C144986985","wikidata":"https://www.wikidata.org/wiki/Q871236","display_name":"Hierarchical database model","level":2,"score":0.3012000024318695},{"id":"https://openalex.org/C2780500908","wikidata":"https://www.wikidata.org/wiki/Q28405357","display_name":"Dynamic scaling","level":3,"score":0.28679999709129333},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2865000069141388},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.28299999237060547},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.2777999937534332},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.26579999923706055},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.26510000228881836},{"id":"https://openalex.org/C2780217385","wikidata":"https://www.wikidata.org/wiki/Q2389284","display_name":"Hierarchical organization","level":2,"score":0.2554999887943268},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.25099998712539673}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.32328","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.32328","pdf_url":"https://arxiv.org/pdf/2610.32328","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.32328","doi":"https://doi.org/10.48550/arxiv.2610.32328","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.32328","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.32328","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.32328","pdf_url":"https://arxiv.org/pdf/2610.32328","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223674907.pdf","grobid_xml":"https://content.openalex.org/works/W7223674907.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2035497144","https://openalex.org/W2146443458","https://openalex.org/W4409488817","https://openalex.org/W4411509350","https://openalex.org/W1987917463","https://openalex.org/W2265237382","https://openalex.org/W7220928097","https://openalex.org/W4416194836","https://openalex.org/W2080105404","https://openalex.org/W4406001130"],"abstract_inverted_index":{"Hierarchical":[0],"and":[1,13,32,49,65,89,108,115,153,172,204],"modular":[2,47,96,119,154,166],"organization":[3],"defines":[4],"brain":[5],"architecture,":[6],"yet":[7],"how":[8,101],"it":[9,136],"supports":[10],"flexible":[11],"computation":[12],"functional":[14,161,212],"specialization":[15,213],"remains":[16,35],"unclear.":[17],"Although":[18],"dynamic":[19,97,124,129,155,167],"range":[20,98,130,168],"is":[21,169],"a":[22,158,192,209],"hallmark":[23],"of":[24,54,160],"efficient":[25],"information":[26],"processing,":[27],"its":[28],"distribution":[29],"across":[30,76],"modules":[31,103],"hierarchical":[33,77,148,202],"levels":[34,83,149],"largely":[36],"unexplored.":[37],"Here,":[38],"we":[39],"show":[40,109],"that":[41,110],"hierarchical-modular":[42,196],"networks":[43,133,139,197],"naturally":[44],"generate":[45,201],"heterogeneous":[46,138,164],"dynamics":[48,56],"firing":[50,90],"rates,":[51],"extending":[52],"regimes":[53],"critical-like":[55,199],"with":[57,118,123],"enhanced":[58],"intrinsic":[59,120],"timescales,":[60,203],"reflecting":[61],"critical":[62],"slowing":[63],"down,":[64],"diverse":[66],"scaling":[67],"exponents":[68],"without":[69,214],"fine-tuning":[70,215],"near":[71],"criticality.":[72,217],"Intrinsic":[73],"timescales":[74,121],"increase":[75],"levels,":[78],"while":[79],"their":[80],"dispersion":[81],"within":[82],"emerges":[84],"only":[85],"when":[86],"connectivity":[87],"profiles":[88],"rates":[91],"are":[92],"heterogeneous.":[93],"We":[94],"introduce":[95],"to":[99,105,141,216],"quantify":[100],"individual":[102],"respond":[104],"external":[106],"inputs":[107],"heterogeneity":[111,190],"enhances":[112,135],"both":[113,151],"global":[114,142,152],"module-specific":[116],"sensitivity,":[117,207],"increasing":[122],"range.":[125],"Local":[126],"stimulation":[127],"reduces":[128],"in":[131,137,175],"homogeneous":[132],"but":[134],"relative":[140],"stimulation.":[143],"Moreover,":[144],"selectively":[145],"stimulating":[146],"intermediate":[147],"maximizes":[150],"range,":[156],"revealing":[157],"principle":[159],"specialization.":[162],"In":[163],"networks,":[165],"more":[170],"variable":[171],"increases":[173],"even":[174],"unstimulated":[176],"modules,":[177],"demonstrating":[178],"distributed":[179],"computational":[180,206],"benefits":[181],"beyond":[182],"directly":[183],"stimulated":[184],"regions.":[185],"Together,":[186],"these":[187],"findings":[188],"establish":[189],"as":[191],"mechanism":[193],"through":[194],"which":[195],"sustain":[198],"dynamics,":[200],"distribute":[205],"providing":[208],"basis":[210],"for":[211]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-10-27T00:00:00"}
