{"id":"https://openalex.org/W1986504446","doi":"https://doi.org/10.1007/s10827-012-0412-x","title":"A nonlinear autoregressive Volterra model of the Hodgkin\u2013Huxley equations","display_name":"A nonlinear autoregressive Volterra model of the Hodgkin\u2013Huxley equations","publication_year":2012,"publication_date":"2012-08-09","ids":{"openalex":"https://openalex.org/W1986504446","doi":"https://doi.org/10.1007/s10827-012-0412-x","mag":"1986504446","pmid":"https://pubmed.ncbi.nlm.nih.gov/22878687"},"language":"en","primary_location":{"id":"doi:10.1007/s10827-012-0412-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10827-012-0412-x","pdf_url":null,"source":{"id":"https://openalex.org/S27455496","display_name":"Journal of Computational Neuroscience","issn_l":"0929-5313","issn":["0929-5313","1573-6873"],"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":"Journal of Computational Neuroscience","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/A5024758005","display_name":"Steffen E. Eikenberry","orcid":"https://orcid.org/0000-0002-8874-9600"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Steffen E. Eikenberry","raw_affiliation_strings":["Department of Biomedical Engineering, University of Southern California, 1042 Downey Way, Los Angeles, CA 90089, USA. seikenbe@usc.edu","Department of Biomedical Engineering, University of Southern California, Los Angeles, USA, 90089"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, University of Southern California, 1042 Downey Way, Los Angeles, CA 90089, USA. seikenbe@usc.edu","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Department of Biomedical Engineering, University of Southern California, Los Angeles, USA, 90089","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036646017","display_name":"Vasilis Z. Marmarelis","orcid":"https://orcid.org/0000-0003-1457-813X"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vasilis Z. Marmarelis","raw_affiliation_strings":["Department of Biomedical Engineering, University of Southern California, 1042 Downey Way, Los Angeles, CA, 90089, USA","Department of Biomedical Engineering, University of Southern California, Los Angeles, USA, 90089"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering, University of Southern California, 1042 Downey Way, Los Angeles, CA, 90089, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Department of Biomedical Engineering, University of Southern California, Los Angeles, USA, 90089","institution_ids":["https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024758005"],"corresponding_institution_ids":["https://openalex.org/I1174212"],"apc_list":{"value":2590,"currency":"EUR","value_usd":3390},"apc_paid":null,"fwci":1.0134,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.738088,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"34","issue":"1","first_page":"163","last_page":"183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9990000128746033,"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":0.9972000122070312,"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/autoregressive-model","display_name":"Autoregressive model","score":0.7041025161743164},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6766799688339233},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.6202128529548645},{"id":"https://openalex.org/keywords/volterra-series","display_name":"Volterra series","score":0.5579921007156372},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5227251648902893},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4991018772125244},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.48536884784698486},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.3932366669178009},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32039299607276917},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17213204503059387},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1317971646785736},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.1124224066734314},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08994397521018982}],"concepts":[{"id":"https://openalex.org/C159877910","wikidata":"https://www.wikidata.org/wiki/Q2202883","display_name":"Autoregressive model","level":2,"score":0.7041025161743164},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6766799688339233},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.6202128529548645},{"id":"https://openalex.org/C2778532037","wikidata":"https://www.wikidata.org/wiki/Q3957891","display_name":"Volterra series","level":3,"score":0.5579921007156372},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5227251648902893},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4991018772125244},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.48536884784698486},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.3932366669178009},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32039299607276917},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17213204503059387},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1317971646785736},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.1124224066734314},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08994397521018982},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[{"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":"D004558","descriptor_name":"Electric Stimulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004558","descriptor_name":"Electric Stimulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004558","descriptor_name":"Electric Stimulation","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":"D008433","descriptor_name":"Mathematics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008433","descriptor_name":"Mathematics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008433","descriptor_name":"Mathematics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008564","descriptor_name":"Membrane Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D008564","descriptor_name":"Membrane Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D008564","descriptor_name":"Membrane 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":"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":"D011237","descriptor_name":"Predictive Value of Tests","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011237","descriptor_name":"Predictive Value of Tests","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D011237","descriptor_name":"Predictive Value of Tests","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012032","descriptor_name":"Refractory Period, Electrophysiological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012032","descriptor_name":"Refractory Period, Electrophysiological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012032","descriptor_name":"Refractory Period, Electrophysiological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013997","descriptor_name":"Time Factors","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D017711","descriptor_name":"Nonlinear Dynamics","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":2,"locations":[{"id":"doi:10.1007/s10827-012-0412-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10827-012-0412-x","pdf_url":null,"source":{"id":"https://openalex.org/S27455496","display_name":"Journal of Computational Neuroscience","issn_l":"0929-5313","issn":["0929-5313","1573-6873"],"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":"Journal of Computational Neuroscience","raw_type":"journal-article"},{"id":"pmid:22878687","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/22878687","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":"Journal of computational neuroscience","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2015879519","display_name":null,"funder_award_id":"P41-EB001978","funder_id":"https://openalex.org/F4320337363","funder_display_name":"National Institute of Biomedical Imaging and Bioengineering"}],"funders":[{"id":"https://openalex.org/F4320308668","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337363","display_name":"National Institute of Biomedical Imaging and Bioengineering","ror":"https://ror.org/00372qc85"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W587742752","https://openalex.org/W1227425701","https://openalex.org/W1964309659","https://openalex.org/W1964815380","https://openalex.org/W1978764739","https://openalex.org/W1979071895","https://openalex.org/W1985940938","https://openalex.org/W1987994242","https://openalex.org/W1989786687","https://openalex.org/W2004481850","https://openalex.org/W2017825780","https://openalex.org/W2018807824","https://openalex.org/W2022095068","https://openalex.org/W2023117914","https://openalex.org/W2031019611","https://openalex.org/W2031301221","https://openalex.org/W2039186229","https://openalex.org/W2048756013","https://openalex.org/W2058522416","https://openalex.org/W2058603569","https://openalex.org/W2062827830","https://openalex.org/W2065802927","https://openalex.org/W2069224171","https://openalex.org/W2069519142","https://openalex.org/W2070207677","https://openalex.org/W2070902103","https://openalex.org/W2074222350","https://openalex.org/W2074483560","https://openalex.org/W2081184663","https://openalex.org/W2081411433","https://openalex.org/W2083354223","https://openalex.org/W2086602043","https://openalex.org/W2089623021","https://openalex.org/W2102173149","https://openalex.org/W2109234859","https://openalex.org/W2125454504","https://openalex.org/W2126927871","https://openalex.org/W2132620864","https://openalex.org/W2137120069","https://openalex.org/W2147512414","https://openalex.org/W2150474797","https://openalex.org/W2150800209","https://openalex.org/W2163306439","https://openalex.org/W2170574468","https://openalex.org/W2398037275","https://openalex.org/W2499601348","https://openalex.org/W2992139709","https://openalex.org/W4241994679","https://openalex.org/W7040045418"],"related_works":["https://openalex.org/W4388297534","https://openalex.org/W2051439117","https://openalex.org/W1673883441","https://openalex.org/W4298109871","https://openalex.org/W2313188567","https://openalex.org/W4248124207","https://openalex.org/W2087320822","https://openalex.org/W2083477739","https://openalex.org/W2089966216","https://openalex.org/W2017930464"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4}],"updated_date":"2026-06-24T13:16:06.693445","created_date":"2025-10-10T00:00:00"}