{"id":"https://openalex.org/W2166538868","doi":"https://doi.org/10.1007/s00422-005-0565-z","title":"Phase transitions in the neuropercolation model of neural populations with mixed local and non-local interactions","display_name":"Phase transitions in the neuropercolation model of neural populations with mixed local and non-local interactions","publication_year":2005,"publication_date":"2005-05-25","ids":{"openalex":"https://openalex.org/W2166538868","doi":"https://doi.org/10.1007/s00422-005-0565-z","mag":"2166538868","pmid":"https://pubmed.ncbi.nlm.nih.gov/15920663"},"language":"en","primary_location":{"id":"doi:10.1007/s00422-005-0565-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00422-005-0565-z","pdf_url":null,"source":{"id":"https://openalex.org/S87357125","display_name":"Biological Cybernetics","issn_l":"0340-1200","issn":["0340-1200","1432-0770"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biological Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011829386","display_name":"R\u00f3bert Kozma","orcid":"https://orcid.org/0000-0001-7011-5768"},"institutions":[{"id":"https://openalex.org/I94658018","display_name":"University of Memphis","ror":"https://ror.org/01cq23130","country_code":"US","type":"education","lineage":["https://openalex.org/I94658018"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert Kozma","raw_affiliation_strings":["Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA. rkozma@memphis.edu","Department of Mathematical Sciences, University of Memphis, Memphis, TN, 38152, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA. rkozma@memphis.edu","institution_ids":["https://openalex.org/I94658018"]},{"raw_affiliation_string":"Department of Mathematical Sciences, University of Memphis, Memphis, TN, 38152, USA","institution_ids":["https://openalex.org/I94658018"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086695260","display_name":"Marko Puljic","orcid":null},"institutions":[{"id":"https://openalex.org/I94658018","display_name":"University of Memphis","ror":"https://ror.org/01cq23130","country_code":"US","type":"education","lineage":["https://openalex.org/I94658018"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marko Puljic","raw_affiliation_strings":["Department of Mathematical Sciences, University of Memphis, Memphis, TN, 38152, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Memphis, Memphis, TN, 38152, USA","institution_ids":["https://openalex.org/I94658018"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003243157","display_name":"Paul Balister","orcid":"https://orcid.org/0000-0003-2696-0352"},"institutions":[{"id":"https://openalex.org/I94658018","display_name":"University of Memphis","ror":"https://ror.org/01cq23130","country_code":"US","type":"education","lineage":["https://openalex.org/I94658018"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul Balister","raw_affiliation_strings":["Department of Mathematical Sciences, University of Memphis, Memphis, TN, 38152, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Memphis, Memphis, TN, 38152, USA","institution_ids":["https://openalex.org/I94658018"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109915650","display_name":"B\u00e9la Bollob\u00e1s","orcid":"https://orcid.org/0000-0002-9819-7213"},"institutions":[{"id":"https://openalex.org/I94658018","display_name":"University of Memphis","ror":"https://ror.org/01cq23130","country_code":"US","type":"education","lineage":["https://openalex.org/I94658018"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bela Bollob\u00e1s","raw_affiliation_strings":["Department of Mathematical Sciences, University of Memphis, Memphis, TN, 38152, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Memphis, Memphis, TN, 38152, USA","institution_ids":["https://openalex.org/I94658018"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108290583","display_name":"Walter Freeman","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Walter J. Freeman","raw_affiliation_strings":["Division of Neurobiology, University of California at Berkeley, Berkeley, CA, 94720, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Neurobiology, University of California at Berkeley, Berkeley, CA, 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5011829386"],"corresponding_institution_ids":["https://openalex.org/I94658018"],"apc_list":{"value":2790,"currency":"EUR","value_usd":3590},"apc_paid":null,"fwci":6.2395,"has_fulltext":false,"cited_by_count":165,"citation_normalized_percentile":{"value":0.97232489,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"92","issue":"6","first_page":"367","last_page":"379"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9987999796867371,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9973999857902527,"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/statistical-physics","display_name":"Statistical physics","score":0.7245097160339355},{"id":"https://openalex.org/keywords/directed-percolation","display_name":"Directed percolation","score":0.5518423914909363},{"id":"https://openalex.org/keywords/phase-transition","display_name":"Phase transition","score":0.5431427955627441},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.5016770362854004},{"id":"https://openalex.org/keywords/local-field-potential","display_name":"Local field potential","score":0.5000414848327637},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.42955905199050903},{"id":"https://openalex.org/keywords/percolation","display_name":"Percolation (cognitive psychology)","score":0.4264396131038666},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.42120468616485596},{"id":"https://openalex.org/keywords/criticality","display_name":"Criticality","score":0.4166543185710907},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4102102518081665},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.3763645589351654},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35800886154174805},{"id":"https://openalex.org/keywords/critical-exponent","display_name":"Critical exponent","score":0.33837342262268066},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.24231663346290588},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2152368426322937},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.17526593804359436}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.7245097160339355},{"id":"https://openalex.org/C15867958","wikidata":"https://www.wikidata.org/wiki/Q5280413","display_name":"Directed percolation","level":4,"score":0.5518423914909363},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.5431427955627441},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.5016770362854004},{"id":"https://openalex.org/C117838684","wikidata":"https://www.wikidata.org/wiki/Q533483","display_name":"Local field potential","level":2,"score":0.5000414848327637},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.42955905199050903},{"id":"https://openalex.org/C2780457167","wikidata":"https://www.wikidata.org/wiki/Q17156484","display_name":"Percolation (cognitive psychology)","level":2,"score":0.4264396131038666},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42120468616485596},{"id":"https://openalex.org/C125611927","wikidata":"https://www.wikidata.org/wiki/Q17008131","display_name":"Criticality","level":2,"score":0.4166543185710907},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4102102518081665},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.3763645589351654},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35800886154174805},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.33837342262268066},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.24231663346290588},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2152368426322937},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.17526593804359436},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C185544564","wikidata":"https://www.wikidata.org/wiki/Q81197","display_name":"Nuclear physics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000254","qualifier_name":"growth & development","is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000254","qualifier_name":"growth & development","is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000254","qualifier_name":"growth & development","is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000502","qualifier_name":"physiology","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":"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":"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":"D019581","descriptor_name":"Neuropil","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D019581","descriptor_name":"Neuropil","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D019581","descriptor_name":"Neuropil","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false}],"locations_count":4,"locations":[{"id":"doi:10.1007/s00422-005-0565-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00422-005-0565-z","pdf_url":null,"source":{"id":"https://openalex.org/S87357125","display_name":"Biological Cybernetics","issn_l":"0340-1200","issn":["0340-1200","1432-0770"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biological Cybernetics","raw_type":"journal-article"},{"id":"pmid:15920663","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/15920663","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":"Biological cybernetics","raw_type":null},{"id":"pmh:oai:escholarship.org/ark:/13030/qt6rk1d0sj","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/6rk1d0sj","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Biological Cybernetics, vol 92, iss 6","raw_type":"article"},{"id":"pmh:qt6rk1d0sj","is_oa":false,"landing_page_url":"http://www.escholarship.org/uc/item/6rk1d0sj","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Kozma, R; Puljic, M; Balister, P; Bollobas, B; & Freeman, Walter J III. (2005). Phase transitions in the neuropercolation model of neural populations with mixed local and non-local interactions. Biological Cybernetics, 92(6), 367 - 379. UC Berkeley: Retrieved from: http://www.escholarship.org/uc/item/6rk1d0sj","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":77,"referenced_works":["https://openalex.org/W82502793","https://openalex.org/W83930199","https://openalex.org/W155417673","https://openalex.org/W567817149","https://openalex.org/W594917935","https://openalex.org/W985156132","https://openalex.org/W1504054592","https://openalex.org/W1542370521","https://openalex.org/W1547608563","https://openalex.org/W1898632731","https://openalex.org/W1921955140","https://openalex.org/W1923076796","https://openalex.org/W1967023256","https://openalex.org/W1968589664","https://openalex.org/W1969491530","https://openalex.org/W1972004639","https://openalex.org/W1972354222","https://openalex.org/W1985039283","https://openalex.org/W1993148254","https://openalex.org/W1996903682","https://openalex.org/W2001616149","https://openalex.org/W2007099865","https://openalex.org/W2015276351","https://openalex.org/W2018934112","https://openalex.org/W2019758296","https://openalex.org/W2030105977","https://openalex.org/W2030358075","https://openalex.org/W2030441757","https://openalex.org/W2035594651","https://openalex.org/W2036802037","https://openalex.org/W2038727828","https://openalex.org/W2039077327","https://openalex.org/W2045224171","https://openalex.org/W2046876443","https://openalex.org/W2051095566","https://openalex.org/W2055317744","https://openalex.org/W2063731431","https://openalex.org/W2065323706","https://openalex.org/W2075372638","https://openalex.org/W2075514521","https://openalex.org/W2084987268","https://openalex.org/W2090132097","https://openalex.org/W2090943336","https://openalex.org/W2094324713","https://openalex.org/W2103365933","https://openalex.org/W2110586973","https://openalex.org/W2112090702","https://openalex.org/W2124637492","https://openalex.org/W2125637323","https://openalex.org/W2128084896","https://openalex.org/W2130875964","https://openalex.org/W2133710600","https://openalex.org/W2134299257","https://openalex.org/W2139852582","https://openalex.org/W2140755429","https://openalex.org/W2142887429","https://openalex.org/W2150649057","https://openalex.org/W2152649363","https://openalex.org/W2156184605","https://openalex.org/W2157280774","https://openalex.org/W2161350892","https://openalex.org/W2162722007","https://openalex.org/W2181291494","https://openalex.org/W2328317696","https://openalex.org/W2894564506","https://openalex.org/W2905110430","https://openalex.org/W2989045466","https://openalex.org/W3003725138","https://openalex.org/W3004274490","https://openalex.org/W3101320394","https://openalex.org/W3113109455","https://openalex.org/W3124042774","https://openalex.org/W3142790270","https://openalex.org/W3191407898","https://openalex.org/W4212961956","https://openalex.org/W4237809910","https://openalex.org/W4292880809"],"related_works":["https://openalex.org/W2093279518","https://openalex.org/W1982945628","https://openalex.org/W2061450506","https://openalex.org/W2084452204","https://openalex.org/W2060865449","https://openalex.org/W2155322181","https://openalex.org/W2031997083","https://openalex.org/W2040107310","https://openalex.org/W2067119894","https://openalex.org/W3146976669"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":12},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":14},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":16}],"updated_date":"2026-05-10T08:33:47.465468","created_date":"2025-10-10T00:00:00"}