{"id":"https://openalex.org/W1965322550","doi":"https://doi.org/10.1371/journal.pcbi.1002634","title":"A Canonical Model of Multistability and Scale-Invariance in Biological Systems","display_name":"A Canonical Model of Multistability and Scale-Invariance in Biological Systems","publication_year":2012,"publication_date":"2012-08-09","ids":{"openalex":"https://openalex.org/W1965322550","doi":"https://doi.org/10.1371/journal.pcbi.1002634","mag":"1965322550","pmid":"https://pubmed.ncbi.nlm.nih.gov/22912567"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pcbi.1002634","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1002634","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1002634&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":["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.1002634&type=printable","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065464874","display_name":"Frank Freyer","orcid":null},"institutions":[{"id":"https://openalex.org/I7877124","display_name":"Charit\u00e9 - Universit\u00e4tsmedizin Berlin","ror":"https://ror.org/001w7jn25","country_code":"DE","type":"funder","lineage":["https://openalex.org/I7877124"]},{"id":"https://openalex.org/I4210152641","display_name":"Bernstein Center for Computational Neuroscience Berlin","ror":"https://ror.org/05ewdps05","country_code":"DE","type":"government","lineage":["https://openalex.org/I4210092532","https://openalex.org/I4210152641"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frank Freyer","raw_affiliation_strings":["Bernstein Focus State Dependencies of Learning & Bernstein Center for Computational Neuroscience, Berlin, Germany","Department Neurology, Charit\u00e9 - University Medicine, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bernstein Focus State Dependencies of Learning & Bernstein Center for Computational Neuroscience, Berlin, Germany","institution_ids":["https://openalex.org/I4210152641"]},{"raw_affiliation_string":"Department Neurology, Charit\u00e9 - University Medicine, Berlin, Germany","institution_ids":["https://openalex.org/I7877124"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082531068","display_name":"James A. Roberts","orcid":"https://orcid.org/0000-0003-1626-6551"},"institutions":[{"id":"https://openalex.org/I217937681","display_name":"QIMR Berghofer Medical Research Institute","ror":"https://ror.org/004y8wk30","country_code":"AU","type":"facility","lineage":["https://openalex.org/I217937681"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"James A. Roberts","raw_affiliation_strings":["Division of Mental Health Research, Queensland Institute of Medical Research, Brisbane, Queensland, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mental Health Research, Queensland Institute of Medical Research, Brisbane, Queensland, Australia","institution_ids":["https://openalex.org/I217937681"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067145255","display_name":"Petra Ritter","orcid":"https://orcid.org/0000-0002-4643-4782"},"institutions":[{"id":"https://openalex.org/I4210130445","display_name":"Max Planck Institute for Human Cognitive and Brain Sciences","ror":"https://ror.org/0387jng26","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210130445"]},{"id":"https://openalex.org/I7877124","display_name":"Charit\u00e9 - Universit\u00e4tsmedizin Berlin","ror":"https://ror.org/001w7jn25","country_code":"DE","type":"funder","lineage":["https://openalex.org/I7877124"]},{"id":"https://openalex.org/I4210113520","display_name":"Brain (Germany)","ror":"https://ror.org/01gamcy45","country_code":"DE","type":"company","lineage":["https://openalex.org/I4210113520"]},{"id":"https://openalex.org/I4210152641","display_name":"Bernstein Center for Computational Neuroscience Berlin","ror":"https://ror.org/05ewdps05","country_code":"DE","type":"government","lineage":["https://openalex.org/I4210092532","https://openalex.org/I4210152641"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Petra Ritter","raw_affiliation_strings":["Berlin School of Mind and Brain & Mind and Brain Institute, Humboldt University, Berlin, Germany","Bernstein Focus State Dependencies of Learning & Bernstein Center for Computational Neuroscience, Berlin, Germany","Department Neurology, Charit\u00e9 - University Medicine, Berlin, Germany","Max Planck Institute for Human Cognitive and Brain Sciences, Leipzig, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Berlin School of Mind and Brain & Mind and Brain Institute, Humboldt University, Berlin, Germany","institution_ids":["https://openalex.org/I4210113520"]},{"raw_affiliation_string":"Bernstein Focus State Dependencies of Learning & Bernstein Center for Computational Neuroscience, Berlin, Germany","institution_ids":["https://openalex.org/I4210152641"]},{"raw_affiliation_string":"Department Neurology, Charit\u00e9 - University Medicine, Berlin, Germany","institution_ids":["https://openalex.org/I7877124"]},{"raw_affiliation_string":"Max Planck Institute for Human Cognitive and Brain Sciences, Leipzig, Germany","institution_ids":["https://openalex.org/I4210130445"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064885281","display_name":"Michael Breakspear","orcid":"https://orcid.org/0000-0003-4943-3969"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]},{"id":"https://openalex.org/I217937681","display_name":"QIMR Berghofer Medical Research Institute","ror":"https://ror.org/004y8wk30","country_code":"AU","type":"facility","lineage":["https://openalex.org/I217937681"]},{"id":"https://openalex.org/I2799393793","display_name":"Royal Brisbane and Women's Hospital","ror":"https://ror.org/05p52kj31","country_code":"AU","type":"healthcare","lineage":["https://openalex.org/I1302211766","https://openalex.org/I2799393793","https://openalex.org/I2801244131"]},{"id":"https://openalex.org/I16667517","display_name":"Black Dog Institute","ror":"https://ror.org/04rfr1008","country_code":"AU","type":"healthcare","lineage":["https://openalex.org/I16667517"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Michael Breakspear","raw_affiliation_strings":["Division of Mental Health Research, Queensland Institute of Medical Research, Brisbane, Queensland, Australia","School of Psychiatry, University of New South Wales and The Black Dog Institute, Sydney, New South Wales, Australia","The Royal Brisbane and Woman's Hospital, Brisbane, Queensland, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mental Health Research, Queensland Institute of Medical Research, Brisbane, Queensland, Australia","institution_ids":["https://openalex.org/I217937681"]},{"raw_affiliation_string":"School of Psychiatry, University of New South Wales and The Black Dog Institute, Sydney, New South Wales, Australia","institution_ids":["https://openalex.org/I16667517","https://openalex.org/I31746571"]},{"raw_affiliation_string":"The Royal Brisbane and Woman's Hospital, Brisbane, Queensland, Australia","institution_ids":["https://openalex.org/I2799393793"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5064885281"],"corresponding_institution_ids":["https://openalex.org/I16667517","https://openalex.org/I217937681","https://openalex.org/I2799393793","https://openalex.org/I31746571"],"apc_list":{"value":2655,"currency":"USD","value_usd":2655},"apc_paid":{"value":2655,"currency":"USD","value_usd":2655},"fwci":4.1974,"has_fulltext":true,"cited_by_count":209,"citation_normalized_percentile":{"value":0.94491858,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"8","issue":"8","first_page":"e1002634","last_page":"e1002634"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9976999759674072,"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":0.9976999759674072,"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":0.9962999820709229,"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":0.9955000281333923,"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/multistability","display_name":"Multistability","score":0.9354132413864136},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.740054726600647},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.6317318677902222},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6128731966018677},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5241368412971497},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.49823808670043945},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.44805291295051575},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.43484094738960266},{"id":"https://openalex.org/keywords/scale-invariance","display_name":"Scale invariance","score":0.414419949054718},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.4108354449272156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35182568430900574},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1789417266845703},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.15640071034431458}],"concepts":[{"id":"https://openalex.org/C2776966350","wikidata":"https://www.wikidata.org/wiki/Q6935096","display_name":"Multistability","level":3,"score":0.9354132413864136},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.740054726600647},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.6317318677902222},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6128731966018677},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5241368412971497},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.49823808670043945},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.44805291295051575},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.43484094738960266},{"id":"https://openalex.org/C135593079","wikidata":"https://www.wikidata.org/wiki/Q1750766","display_name":"Scale invariance","level":2,"score":0.414419949054718},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.4108354449272156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35182568430900574},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1789417266845703},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15640071034431458}],"mesh":[{"descriptor_ui":"D001703","descriptor_name":"Biophysics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001703","descriptor_name":"Biophysics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001703","descriptor_name":"Biophysics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D053263","descriptor_name":"Gene Regulatory Networks","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D053263","descriptor_name":"Gene Regulatory Networks","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D053263","descriptor_name":"Gene Regulatory Networks","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":8,"locations":[{"id":"doi:10.1371/journal.pcbi.1002634","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1002634","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1002634&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:22912567","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/22912567","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:CiteSeerX.psu:10.1.1.775.4025","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.775.4025","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.ncbi.nlm.nih.gov/pub/pmc/8c/76/pcbi.1002634.PMC3415415.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:plo:pcbi00:1002634","is_oa":false,"landing_page_url":"https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1002634","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:ca050eba9f54429e808dd16de4f595dc","is_oa":true,"landing_page_url":"https://doaj.org/article/ca050eba9f54429e808dd16de4f595dc","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 8, Iss 8, p e1002634 (2012)","raw_type":"article"},{"id":"pmh:oai:europepmc.org:2425045","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/3415415","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"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":null,"raw_type":"Text"},{"id":"pmh:oai:figshare.com:article/121381","is_oa":true,"landing_page_url":"https://figshare.com/articles/figure/A_Canonical_Model_of_Multistability_and_Scale_Invariance_in_Biological_Systems/121381","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":"Image"},{"id":"pmh:oai:pure.mpg.de:item_1480888","is_oa":true,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-000F-A391-6","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Computational Biology","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1371/journal.pcbi.1002634","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1002634","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1002634&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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8199999928474426}],"awards":[{"id":"https://openalex.org/G4475230677","display_name":null,"funder_award_id":"JSMF22002082","funder_id":"https://openalex.org/F4320306183","funder_display_name":"James S. McDonnell Foundation"}],"funders":[{"id":"https://openalex.org/F4320306183","display_name":"James S. McDonnell Foundation","ror":"https://ror.org/03dy4aq19"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"},{"id":"https://openalex.org/F4320334705","display_name":"National Health and Medical Research Council","ror":"https://ror.org/011kf5r70"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1965322550.pdf","grobid_xml":"https://content.openalex.org/works/W1965322550.grobid-xml"},"referenced_works_count":70,"referenced_works":["https://openalex.org/W230980609","https://openalex.org/W1541592400","https://openalex.org/W1604195904","https://openalex.org/W1956636948","https://openalex.org/W1964069773","https://openalex.org/W1970113884","https://openalex.org/W1980246751","https://openalex.org/W1983568525","https://openalex.org/W1985616013","https://openalex.org/W1985983039","https://openalex.org/W1987567631","https://openalex.org/W1992717202","https://openalex.org/W1999475362","https://openalex.org/W1999716743","https://openalex.org/W2010574946","https://openalex.org/W2012109990","https://openalex.org/W2015173963","https://openalex.org/W2016625584","https://openalex.org/W2021059161","https://openalex.org/W2021655476","https://openalex.org/W2022535346","https://openalex.org/W2023245059","https://openalex.org/W2024202336","https://openalex.org/W2025054170","https://openalex.org/W2027037510","https://openalex.org/W2028311911","https://openalex.org/W2030381387","https://openalex.org/W2038248051","https://openalex.org/W2040572095","https://openalex.org/W2041318616","https://openalex.org/W2044719823","https://openalex.org/W2048017269","https://openalex.org/W2056942998","https://openalex.org/W2057318265","https://openalex.org/W2059004036","https://openalex.org/W2060524608","https://openalex.org/W2063962699","https://openalex.org/W2068398119","https://openalex.org/W2071902635","https://openalex.org/W2073266209","https://openalex.org/W2080955301","https://openalex.org/W2084333006","https://openalex.org/W2088294872","https://openalex.org/W2095978766","https://openalex.org/W2096935768","https://openalex.org/W2100162204","https://openalex.org/W2113257799","https://openalex.org/W2113345172","https://openalex.org/W2113748017","https://openalex.org/W2117155192","https://openalex.org/W2117663940","https://openalex.org/W2126545479","https://openalex.org/W2132335640","https://openalex.org/W2132592812","https://openalex.org/W2134759932","https://openalex.org/W2141178737","https://openalex.org/W2147336335","https://openalex.org/W2148764920","https://openalex.org/W2153204292","https://openalex.org/W2157280774","https://openalex.org/W2160184536","https://openalex.org/W2168815228","https://openalex.org/W2562983303","https://openalex.org/W2594927309","https://openalex.org/W3003725138","https://openalex.org/W3126072850","https://openalex.org/W4247439333","https://openalex.org/W4248004290","https://openalex.org/W4253114936","https://openalex.org/W4300352669"],"related_works":["https://openalex.org/W4226329279","https://openalex.org/W1527571384","https://openalex.org/W2383189914","https://openalex.org/W1464403884","https://openalex.org/W2108117187","https://openalex.org/W2015173963","https://openalex.org/W3015125480","https://openalex.org/W2140187929","https://openalex.org/W4362633503","https://openalex.org/W2076976025"],"abstract_inverted_index":{"Multistability":[0,25,116],"and":[1,21,49,67,69,108,154,176],"scale-invariant":[2,109],"fluctuations":[3,37,110,146],"occur":[4,71,191],"in":[5,73,91,118,148,192],"a":[6,53,92,122,168,183,193,202],"wide":[7],"variety":[8],"of":[9,52,61,95,106,121,133,164,171,174,196,205],"biological":[10,206],"organisms":[11],"from":[12],"bacteria":[13],"to":[14,27,151,179],"humans":[15],"as":[16,18,139],"well":[17],"financial,":[19],"chemical":[20],"complex":[22,81],"physical":[23],"systems.":[24],"refers":[26],"noise":[28,136],"driven":[29],"switches":[30],"between":[31,46,143],"multiple":[32],"weakly":[33],"stable":[34],"states.":[35],"Scale-invariant":[36],"arise":[38],"when":[39],"there":[40],"is":[41],"an":[42,58],"approximately":[43],"constant":[44,149],"ratio":[45],"the":[47,74,104,119,131,140,172],"mean":[48,153],"standard":[50],"deviation":[51],"system's":[54],"fluctuations.":[55,100],"Both":[56],"are":[57],"important":[59,113],"property":[60],"human":[62,75],"perception,":[63],"movement,":[64],"decision":[65],"making":[66],"computation":[68],"they":[70],"together":[72],"alpha":[76],"rhythm,":[77],"imparting":[78],"it":[79],"with":[80],"dynamical":[82,89,114],"behavior.":[83],"Here,":[84],"we":[85],"elucidate":[86],"their":[87,152,155],"fundamental":[88],"mechanisms":[90],"canonical":[93],"model":[94,166,195],"nonlinear":[96,177],"bifurcations":[97],"under":[98],"stochastic":[99,175],"We":[101],"find":[102],"that":[103,138],"co-occurrence":[105],"multistability":[107],"mandates":[111],"two":[112],"properties:":[115],"arises":[117],"presence":[120],"subcritical":[123],"Hopf":[124],"bifurcation,":[125],"which":[126],"generates":[127],"co-existing":[128],"attractors,":[129,145],"whilst":[130],"introduction":[132],"multiplicative":[134],"(state-dependent)":[135],"ensures":[137],"system":[141],"jumps":[142],"these":[144],"remain":[147],"proportion":[150],"temporal":[156],"statistics":[157],"become":[158],"long-tailed.":[159],"The":[160],"simple":[161],"algebraic":[162],"construction":[163],"this":[165],"affords":[167],"systematic":[169],"analysis":[170],"contribution":[173],"processes":[178],"cortical":[180],"rhythms,":[181],"complementing":[182],"recently":[184],"proposed":[185],"biophysical":[186],"model.":[187],"Similar":[188],"dynamics":[189],"also":[190],"kinetic":[194],"gene":[197],"regulation,":[198],"suggesting":[199],"universality":[200],"across":[201],"broad":[203],"class":[204],"phenomena.":[207]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":23},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":22},{"year":2022,"cited_by_count":25},{"year":2021,"cited_by_count":21},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":23},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}