{"id":"https://openalex.org/W1943406865","doi":"https://doi.org/10.1371/journal.pcbi.1004992","title":"The Complexity of Dynamics in Small Neural Circuits","display_name":"The Complexity of Dynamics in Small Neural Circuits","publication_year":2016,"publication_date":"2016-08-05","ids":{"openalex":"https://openalex.org/W1943406865","doi":"https://doi.org/10.1371/journal.pcbi.1004992","mag":"1943406865","pmid":"https://pubmed.ncbi.nlm.nih.gov/27494737"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pcbi.1004992","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1004992","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1004992&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1004992&type=printable","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040938071","display_name":"Diego Fasoli","orcid":"https://orcid.org/0000-0003-4278-6630"},"institutions":[{"id":"https://openalex.org/I30771326","display_name":"Italian Institute of Technology","ror":"https://ror.org/042t93s57","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326"]},{"id":"https://openalex.org/I4210127676","display_name":"Center for Neuroscience and Cognitive Systems","ror":"https://ror.org/045yf0774","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210127676"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Diego Fasoli","raw_affiliation_strings":["Laboratory of Neural Computation, Center for Neuroscience and Cognitive Systems @UniTn, Istituto Italiano di Tecnologia, Rovereto, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Neural Computation, Center for Neuroscience and Cognitive Systems @UniTn, Istituto Italiano di Tecnologia, Rovereto, Italy","institution_ids":["https://openalex.org/I4210127676","https://openalex.org/I30771326"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005500174","display_name":"Anna Cattani","orcid":"https://orcid.org/0000-0003-2317-1737"},"institutions":[{"id":"https://openalex.org/I30771326","display_name":"Italian Institute of Technology","ror":"https://ror.org/042t93s57","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326"]},{"id":"https://openalex.org/I4210127676","display_name":"Center for Neuroscience and Cognitive Systems","ror":"https://ror.org/045yf0774","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210127676"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Anna Cattani","raw_affiliation_strings":["Laboratory of Neural Computation, Center for Neuroscience and Cognitive Systems @UniTn, Istituto Italiano di Tecnologia, Rovereto, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Neural Computation, Center for Neuroscience and Cognitive Systems @UniTn, Istituto Italiano di Tecnologia, Rovereto, Italy","institution_ids":["https://openalex.org/I4210127676","https://openalex.org/I30771326"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014847103","display_name":"Stefano Panzeri","orcid":"https://orcid.org/0000-0003-1700-8909"},"institutions":[{"id":"https://openalex.org/I4210127676","display_name":"Center for Neuroscience and Cognitive Systems","ror":"https://ror.org/045yf0774","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210127676"]},{"id":"https://openalex.org/I30771326","display_name":"Italian Institute of Technology","ror":"https://ror.org/042t93s57","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Stefano Panzeri","raw_affiliation_strings":["Laboratory of Neural Computation, Center for Neuroscience and Cognitive Systems @UniTn, Istituto Italiano di Tecnologia, Rovereto, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Neural Computation, Center for Neuroscience and Cognitive Systems @UniTn, Istituto Italiano di Tecnologia, Rovereto, Italy","institution_ids":["https://openalex.org/I4210127676","https://openalex.org/I30771326"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040938071"],"corresponding_institution_ids":["https://openalex.org/I30771326","https://openalex.org/I4210127676"],"apc_list":{"value":2655,"currency":"USD","value_usd":2655},"apc_paid":{"value":2079,"currency":"EUR","value_usd":2242},"fwci":1.5129,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.80890078,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"12","issue":"8","first_page":"e1004992","last_page":"e1004992"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9998999834060669,"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":0.9998999834060669,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.7059929370880127},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.564683198928833},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.541968047618866},{"id":"https://openalex.org/keywords/mean-field-theory","display_name":"Mean field theory","score":0.5391846299171448},{"id":"https://openalex.org/keywords/neural-system","display_name":"Neural system","score":0.5146313905715942},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.47101080417633057},{"id":"https://openalex.org/keywords/biological-neural-network","display_name":"Biological neural network","score":0.4677574634552002},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4632142186164856},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3606693744659424},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3319135904312134},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.2912355363368988},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24308261275291443},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.11727127432823181},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.10582011938095093},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07991236448287964}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7059929370880127},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.564683198928833},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.541968047618866},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.5391846299171448},{"id":"https://openalex.org/C2986949344","wikidata":"https://www.wikidata.org/wiki/Q9404","display_name":"Neural system","level":2,"score":0.5146313905715942},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.47101080417633057},{"id":"https://openalex.org/C118403218","wikidata":"https://www.wikidata.org/wiki/Q43283","display_name":"Biological neural network","level":2,"score":0.4677574634552002},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4632142186164856},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3606693744659424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3319135904312134},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.2912355363368988},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24308261275291443},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.11727127432823181},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.10582011938095093},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07991236448287964},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009415","descriptor_name":"Nerve Net","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009415","descriptor_name":"Nerve Net","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009415","descriptor_name":"Nerve Net","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019295","descriptor_name":"Computational Biology","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":7,"locations":[{"id":"doi:10.1371/journal.pcbi.1004992","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1004992","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1004992&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},{"id":"pmid:27494737","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/27494737","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLoS computational biology","raw_type":null},{"id":"pmh:oai:arXiv.org:1506.08995","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1506.08995","pdf_url":"https://arxiv.org/pdf/1506.08995","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"pmh:oai:RePEc:plo:pcbi00:1004992","is_oa":false,"landing_page_url":"https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1004992","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:06a6104f1f52446586b0930fb8f9e4b5","is_oa":true,"landing_page_url":"https://doaj.org/article/06a6104f1f52446586b0930fb8f9e4b5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Computational Biology, Vol 12, Iss 8, p e1004992 (2016)","raw_type":"article"},{"id":"pmh:oai:figshare.com:article/3868647","is_oa":true,"landing_page_url":"https://figshare.com/articles/dataset/The_Complexity_of_Dynamics_in_Small_Neural_Circuits/3868647","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Dataset"},{"id":"pmh:oai:pubmedcentral.nih.gov:4975407","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/4975407","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Comput Biol","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1371/journal.pcbi.1004992","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1004992","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1004992&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLOS Computational Biology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4028284204","display_name":"VISUAL MODELLING USING GANGLION CELLS","funder_award_id":"600954","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4358921014","display_name":null,"funder_award_id":"ICT-2011","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5282367364","display_name":null,"funder_award_id":"600954","funder_id":"https://openalex.org/F4320338370","funder_display_name":"FP7 Information and Communication Technologies"},{"id":"https://openalex.org/G5483342299","display_name":null,"funder_award_id":"FP7-ICT","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5865056153","display_name":null,"funder_award_id":"FP7-ICT-2011.9.11/284553","funder_id":"https://openalex.org/F4320334960","funder_display_name":"Seventh Framework Programme"},{"id":"https://openalex.org/G6185202068","display_name":null,"funder_award_id":"FP7-600954","funder_id":"https://openalex.org/F4320334960","funder_display_name":"Seventh Framework Programme"},{"id":"https://openalex.org/G6422356165","display_name":null,"funder_award_id":"FP7-600954","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G6544709687","display_name":null,"funder_award_id":"FP7-ICT-2011","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7685067896","display_name":null,"funder_award_id":"FP7-ICT-2011.9.11","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8023727813","display_name":"Towards new Brain-Machine Interfaces: state-dependent information coding","funder_award_id":"284553","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320326086","display_name":"Provincia Autonoma di Trento","ror":"https://ror.org/017e99q89"},{"id":"https://openalex.org/F4320334960","display_name":"Seventh Framework Programme","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320338370","display_name":"FP7 Information and Communication Technologies","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1943406865.pdf","grobid_xml":"https://content.openalex.org/works/W1943406865.grobid-xml"},"referenced_works_count":132,"referenced_works":["https://openalex.org/W12141070","https://openalex.org/W26007100","https://openalex.org/W182704713","https://openalex.org/W316919195","https://openalex.org/W615448849","https://openalex.org/W1498550271","https://openalex.org/W1514974803","https://openalex.org/W1596321532","https://openalex.org/W1598439908","https://openalex.org/W1601390524","https://openalex.org/W1876456565","https://openalex.org/W1900346870","https://openalex.org/W1965778005","https://openalex.org/W1968032765","https://openalex.org/W1973275441","https://openalex.org/W1974098309","https://openalex.org/W1976798718","https://openalex.org/W1977967725","https://openalex.org/W1978306818","https://openalex.org/W1985983039","https://openalex.org/W1986739317","https://openalex.org/W1988507461","https://openalex.org/W1994933289","https://openalex.org/W2003894833","https://openalex.org/W2007913356","https://openalex.org/W2009897569","https://openalex.org/W2011459128","https://openalex.org/W2012330198","https://openalex.org/W2013186737","https://openalex.org/W2016354087","https://openalex.org/W2018874482","https://openalex.org/W2025603247","https://openalex.org/W2027105025","https://openalex.org/W2027278504","https://openalex.org/W2027503001","https://openalex.org/W2029374903","https://openalex.org/W2029506608","https://openalex.org/W2030439670","https://openalex.org/W2032535902","https://openalex.org/W2032774941","https://openalex.org/W2033770904","https://openalex.org/W2036897383","https://openalex.org/W2038276856","https://openalex.org/W2039041284","https://openalex.org/W2041234363","https://openalex.org/W2041533382","https://openalex.org/W2045695914","https://openalex.org/W2046393250","https://openalex.org/W2047131441","https://openalex.org/W2048017269","https://openalex.org/W2065172718","https://openalex.org/W2066180504","https://openalex.org/W2068386305","https://openalex.org/W2070765152","https://openalex.org/W2081696580","https://openalex.org/W2083250197","https://openalex.org/W2086555477","https://openalex.org/W2088929599","https://openalex.org/W2094930158","https://openalex.org/W2095296030","https://openalex.org/W2096693511","https://openalex.org/W2097311594","https://openalex.org/W2102132106","https://openalex.org/W2102388297","https://openalex.org/W2102826801","https://openalex.org/W2103934527","https://openalex.org/W2106721944","https://openalex.org/W2108146311","https://openalex.org/W2111806088","https://openalex.org/W2112246162","https://openalex.org/W2114424623","https://openalex.org/W2115354531","https://openalex.org/W2117391947","https://openalex.org/W2119899403","https://openalex.org/W2120719475","https://openalex.org/W2123917656","https://openalex.org/W2127186958","https://openalex.org/W2127695105","https://openalex.org/W2128432504","https://openalex.org/W2130837362","https://openalex.org/W2131330930","https://openalex.org/W2134817170","https://openalex.org/W2137945217","https://openalex.org/W2139902283","https://openalex.org/W2140591465","https://openalex.org/W2140681816","https://openalex.org/W2142488539","https://openalex.org/W2142875089","https://openalex.org/W2146052710","https://openalex.org/W2146693559","https://openalex.org/W2149525340","https://openalex.org/W2152254020","https://openalex.org/W2152521274","https://openalex.org/W2154097721","https://openalex.org/W2161443002","https://openalex.org/W2162717455","https://openalex.org/W2167809052","https://openalex.org/W2168811991","https://openalex.org/W2169345222","https://openalex.org/W2170235125","https://openalex.org/W2192231489","https://openalex.org/W2220951078","https://openalex.org/W2320924745","https://openalex.org/W2963349042","https://openalex.org/W3022995033","https://openalex.org/W3101287789","https://openalex.org/W3103407700","https://openalex.org/W4206651839","https://openalex.org/W4214622744","https://openalex.org/W4232212213","https://openalex.org/W4234536451","https://openalex.org/W4244284557","https://openalex.org/W4244746866","https://openalex.org/W4300059230","https://openalex.org/W6642123826","https://openalex.org/W6651260891","https://openalex.org/W6653078680","https://openalex.org/W6657117464","https://openalex.org/W6662198875","https://openalex.org/W6675235558","https://openalex.org/W6675424788","https://openalex.org/W6676228794","https://openalex.org/W6676771029","https://openalex.org/W6678946184","https://openalex.org/W6680149401","https://openalex.org/W6680747200","https://openalex.org/W6682323756","https://openalex.org/W6683816280","https://openalex.org/W6687295843","https://openalex.org/W6822730999","https://openalex.org/W6823346362","https://openalex.org/W7067524398"],"related_works":["https://openalex.org/W2462424100","https://openalex.org/W2014836299","https://openalex.org/W2034871982","https://openalex.org/W148454876","https://openalex.org/W1593626288","https://openalex.org/W2146224160","https://openalex.org/W4254948039","https://openalex.org/W2136504354","https://openalex.org/W2325429610","https://openalex.org/W1973160124"],"abstract_inverted_index":{"Mean-field":[0],"approximations":[1],"are":[2,75],"a":[3,23,60,96,181],"powerful":[4],"tool":[5],"for":[6,144],"studying":[7],"large":[8],"neural":[9,87,124,165,178],"networks.":[10],"However,":[11],"they":[12],"do":[13],"not":[14],"describe":[15,70],"well":[16],"the":[17,34,38,42,53,101,119,138,157,164,177,185,210,228],"behavior":[18,40],"of":[19,22,26,41,55,59,63,72,100,103,108,111,122,159,163,176,184,206,212,219,231],"networks":[20,57,71,106,148,214],"composed":[21,58,107],"small":[24,73,105],"number":[25],"neurons.":[27,64,116],"In":[28],"this":[29,79],"case,":[30],"major":[31],"differences":[32,193],"between":[33,194],"mean-field":[35,200],"approximation":[36],"and":[37,78,113,134,190,198],"real":[39],"network":[43],"can":[44],"arise.":[45],"Yet,":[46],"many":[47],"interesting":[48],"problems":[49],"in":[50,85],"neuroscience":[51],"involve":[52],"study":[54,118],"mesoscopic":[56,195,213],"few":[61],"tens":[62],"Nonetheless,":[65],"mathematical":[66],"methods":[67],"that":[68,129,143,168,187],"correctly":[69],"size":[74],"still":[76],"rare,":[77],"prevents":[80],"us":[81],"to":[82,151,215,225],"make":[83],"progress":[84],"understanding":[86],"dynamics":[88,102,166,179],"at":[89],"these":[90,147],"intermediate":[91],"scales.":[92],"Here":[93],"we":[94,135],"develop":[95],"novel":[97],"systematic":[98],"analysis":[99],"arbitrarily":[104],"homogeneous":[109],"populations":[110],"excitatory":[112],"inhibitory":[114],"firing-rate":[115],"We":[117,141],"local":[120],"bifurcations":[121],"their":[123,199,217],"activity":[125],"with":[126],"an":[127],"approach":[128],"is":[130,180,209,223],"largely":[131],"analytically":[132],"tractable,":[133],"numerically":[136],"determine":[137],"global":[139],"bifurcations.":[140],"find":[142],"strong":[145],"inhibition":[146],"give":[149],"rise":[150],"very":[152],"complex":[153],"dynamics,":[154],"caused":[155],"by":[156],"formation":[158],"multiple":[160],"branching":[161],"solutions":[162],"equations":[167],"emerge":[169],"through":[170],"spontaneous":[171,207],"symmetry-breaking.":[172],"This":[173],"qualitative":[174,189],"change":[175],"finite-size":[182],"effect":[183,230],"network,":[186],"reveals":[188],"previously":[191],"unexplored":[192],"cortical":[196,235],"circuits":[197],"approximation.":[201],"The":[202],"most":[203],"important":[204],"consequence":[205],"symmetry-breaking":[208],"ability":[211],"regulate":[216],"degree":[218],"functional":[220],"heterogeneity,":[221],"which":[222],"thought":[224],"help":[226],"reducing":[227],"detrimental":[229],"noise":[232],"correlations":[233],"on":[234],"information":[236],"processing.":[237]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
