{"id":"https://openalex.org/W2143156542","doi":"https://doi.org/10.1162/0899766054796932","title":"An Extended Analytic Expression for the Membrane Potential Distribution of Conductance-Based Synaptic Noise","display_name":"An Extended Analytic Expression for the Membrane Potential Distribution of Conductance-Based Synaptic Noise","publication_year":2005,"publication_date":"2005-08-22","ids":{"openalex":"https://openalex.org/W2143156542","doi":"https://doi.org/10.1162/0899766054796932","mag":"2143156542","pmid":"https://pubmed.ncbi.nlm.nih.gov/16156930"},"language":"en","primary_location":{"id":"doi:10.1162/0899766054796932","is_oa":false,"landing_page_url":"https://doi.org/10.1162/0899766054796932","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","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/A5112594908","display_name":"Michelle Rudolph","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210141388","display_name":"Unit of Neuroscience Information and Complexity","ror":"https://ror.org/03w1ffx74","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210096427","https://openalex.org/I4210141388"]},{"id":"https://openalex.org/I4210153407","display_name":"Laboratoire de Neurobiologie Cellulaire et Mol\u00e9culaire","ror":"https://ror.org/0452rtt80","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210114748","https://openalex.org/I4210139971","https://openalex.org/I4210153407"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. Rudolph","raw_affiliation_strings":["Unit\u00e9de Neuroscience Int\u00e9gratives et Computationnelles, CNRS, 91198 Gif-sur-Yvette, France,","Institut de Neurobiologie Alfred Fessard"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Unit\u00e9de Neuroscience Int\u00e9gratives et Computationnelles, CNRS, 91198 Gif-sur-Yvette, France,","institution_ids":["https://openalex.org/I4210141388","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Institut de Neurobiologie Alfred Fessard","institution_ids":["https://openalex.org/I4210153407"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022027790","display_name":"Alain Destexhe","orcid":"https://orcid.org/0000-0001-7405-0455"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210141388","display_name":"Unit of Neuroscience Information and Complexity","ror":"https://ror.org/03w1ffx74","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210096427","https://openalex.org/I4210141388"]},{"id":"https://openalex.org/I4210153407","display_name":"Laboratoire de Neurobiologie Cellulaire et Mol\u00e9culaire","ror":"https://ror.org/0452rtt80","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210114748","https://openalex.org/I4210139971","https://openalex.org/I4210153407"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. Destexhe","raw_affiliation_strings":["Unit\u00e9de Neuroscience Int\u00e9gratives et Computationnelles, CNRS, 91198 Gif-sur-Yvette, France,","Institut de Neurobiologie Alfred Fessard"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Unit\u00e9de Neuroscience Int\u00e9gratives et Computationnelles, CNRS, 91198 Gif-sur-Yvette, France,","institution_ids":["https://openalex.org/I4210141388","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Institut de Neurobiologie Alfred Fessard","institution_ids":["https://openalex.org/I4210153407"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.3219,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.88003695,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"17","issue":"11","first_page":"2301","last_page":"2315"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9994000196456909,"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/T11434","display_name":"Electrochemical Analysis and Applications","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1603","display_name":"Electrochemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6133383512496948},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.6024236679077148},{"id":"https://openalex.org/keywords/conductance","display_name":"Conductance","score":0.5717264413833618},{"id":"https://openalex.org/keywords/subthreshold-conduction","display_name":"Subthreshold conduction","score":0.5698832869529724},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.5630176067352295},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.47359517216682434},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.45970189571380615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44610634446144104},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.39219769835472107},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37436577677726746},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35984644293785095},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.3587654232978821},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19368180632591248},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11057990789413452},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09785926342010498},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0852319598197937}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6133383512496948},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.6024236679077148},{"id":"https://openalex.org/C121932024","wikidata":"https://www.wikidata.org/wiki/Q5159376","display_name":"Conductance","level":2,"score":0.5717264413833618},{"id":"https://openalex.org/C156465305","wikidata":"https://www.wikidata.org/wiki/Q1658601","display_name":"Subthreshold conduction","level":4,"score":0.5698832869529724},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.5630176067352295},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.47359517216682434},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.45970189571380615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44610634446144104},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.39219769835472107},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37436577677726746},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35984644293785095},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.3587654232978821},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19368180632591248},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11057990789413452},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09785926342010498},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0852319598197937},{"id":"https://openalex.org/C172385210","wikidata":"https://www.wikidata.org/wiki/Q5339","display_name":"Transistor","level":3,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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":"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":"D009431","descriptor_name":"Neural Conduction","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009431","descriptor_name":"Neural Conduction","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009431","descriptor_name":"Neural Conduction","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D013223","descriptor_name":"Statistics as Topic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013223","descriptor_name":"Statistics as Topic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013223","descriptor_name":"Statistics as Topic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013569","descriptor_name":"Synapses","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D013569","descriptor_name":"Synapses","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D013569","descriptor_name":"Synapses","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":3,"locations":[{"id":"doi:10.1162/0899766054796932","is_oa":false,"landing_page_url":"https://doi.org/10.1162/0899766054796932","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718"],"host_organization_lineage_names":["The MIT Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},{"id":"pmid:16156930","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/16156930","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":"Neural computation","raw_type":null},{"id":"pmh:oai:HAL:hal-00018677v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00018677","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Neural Computation, 2005, 17, pp.2301. ⟨10.1162/0899766054796932⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322892","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1484033701","https://openalex.org/W1549329498","https://openalex.org/W1976862942","https://openalex.org/W1980800528","https://openalex.org/W1990860320","https://openalex.org/W1995928907","https://openalex.org/W2014440357","https://openalex.org/W2018293724","https://openalex.org/W2025687881","https://openalex.org/W2050485267","https://openalex.org/W2072177236","https://openalex.org/W2106760111","https://openalex.org/W2117120818","https://openalex.org/W2137020833","https://openalex.org/W2142961412","https://openalex.org/W2144294262","https://openalex.org/W2152896566","https://openalex.org/W2160999198"],"related_works":["https://openalex.org/W2155827627","https://openalex.org/W2131019417","https://openalex.org/W4242937255","https://openalex.org/W2018127069","https://openalex.org/W2059462146","https://openalex.org/W2766813066","https://openalex.org/W1593424929","https://openalex.org/W2132385758","https://openalex.org/W4312378593","https://openalex.org/W2131797519"],"abstract_inverted_index":{"Synaptically":[0],"generated":[1],"subthreshold":[2],"membrane":[3,54],"potential":[4],"(Vm)":[5],"fluctuations":[6],"can":[7],"be":[8,133],"characterized":[9],"within":[10],"the":[11,24,30,41,52,66,71,75,94,120],"framework":[12],"of":[13,32,63,65,74,93,106,119,122,138],"stochastic":[14,53,67,77,139],"calculus.":[15],"It":[16],"is":[17],"possible":[18],"to":[19,89,135],"obtain":[20],"analytic":[21,42,91],"expressions":[22,43,92,114],"for":[23,98],"steady-state":[25],"Vm":[26,95,129],"distribution,":[27],"even":[28],"in":[29],"case":[31],"conductance-based":[33],"synaptic":[34,123],"currents.":[35],"However,":[36],"as":[37,141],"we":[38],"show":[39],"here,":[40],"obtained":[44],"may":[45,132],"substantially":[46],"deviate":[47],"from":[48],"numerical":[49],"solutions":[50],"if":[51],"equations":[55],"are":[56],"solved":[57],"exclusively":[58],"based":[59],"on":[60],"expectation":[61],"values":[62],"differentials":[64],"variables,":[68],"hence":[69],"neglecting":[70],"spectral":[72],"properties":[73],"underlying":[76],"processes.":[78],"We":[79],"suggest":[80],"a":[81,99],"simple":[82],"solution":[83],"that":[84,102],"corrects":[85],"these":[86],"deviations,":[87],"leading":[88],"extended":[90,113],"distribution":[96],"valid":[97],"parameter":[100],"regime":[101],"covers":[103],"several":[104],"orders":[105],"magnitude":[107],"around":[108],"physiologically":[109],"realistic":[110],"values.":[111],"These":[112],"should":[115],"enable":[116],"finer":[117],"characterization":[118],"stochasticity":[121],"currents":[124],"by":[125],"analyzing":[126],"experimentally":[127],"recorded":[128],"distributions":[130],"and":[131],"applicable":[134],"other":[136],"classes":[137],"processes":[140],"well.":[142]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}