{"id":"https://openalex.org/W2146007569","doi":"https://doi.org/10.1162/0899766041732413","title":"Including Long-Range Dependence in Integrate-and-Fire Models of the High Interspike-Interval Variability of Cortical Neurons","display_name":"Including Long-Range Dependence in Integrate-and-Fire Models of the High Interspike-Interval Variability of Cortical Neurons","publication_year":2004,"publication_date":"2004-08-22","ids":{"openalex":"https://openalex.org/W2146007569","doi":"https://doi.org/10.1162/0899766041732413","mag":"2146007569","pmid":"https://pubmed.ncbi.nlm.nih.gov/15333210"},"language":"en","primary_location":{"id":"doi:10.1162/0899766041732413","is_oa":false,"landing_page_url":"https://doi.org/10.1162/0899766041732413","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/A5113470396","display_name":"B. Scott Jackson","orcid":null},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"B. Scott Jackson","raw_affiliation_strings":["Institute for Sensory Research and Department of Bioengineering and Neuroscience, Syracuse University, Syracuse, NY 13244, U.S.A"],"affiliations":[{"raw_affiliation_string":"Institute for Sensory Research and Department of Bioengineering and Neuroscience, Syracuse University, Syracuse, NY 13244, U.S.A","institution_ids":["https://openalex.org/I70983195"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113470396"],"corresponding_institution_ids":["https://openalex.org/I70983195"],"apc_list":null,"apc_paid":null,"fwci":0.8417,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.71595592,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"16","issue":"10","first_page":"2125","last_page":"2195"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9987999796867371,"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":0.9983999729156494,"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/point-process","display_name":"Point process","score":0.7626421451568604},{"id":"https://openalex.org/keywords/spike","display_name":"Spike (software development)","score":0.71749347448349},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.552741527557373},{"id":"https://openalex.org/keywords/train","display_name":"Train","score":0.5094092488288879},{"id":"https://openalex.org/keywords/renewal-theory","display_name":"Renewal theory","score":0.48427075147628784},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.46398428082466125},{"id":"https://openalex.org/keywords/spike-train","display_name":"Spike train","score":0.4627845883369446},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.45069390535354614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4328964650630951},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3866279721260071},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.36185944080352783},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.352908194065094},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1977074146270752},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1942441761493683},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.14144206047058105},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07930094003677368}],"concepts":[{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.7626421451568604},{"id":"https://openalex.org/C2781390188","wikidata":"https://www.wikidata.org/wiki/Q25203449","display_name":"Spike (software development)","level":2,"score":0.71749347448349},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.552741527557373},{"id":"https://openalex.org/C190839683","wikidata":"https://www.wikidata.org/wiki/Q2448197","display_name":"Train","level":2,"score":0.5094092488288879},{"id":"https://openalex.org/C110507122","wikidata":"https://www.wikidata.org/wiki/Q1356856","display_name":"Renewal theory","level":2,"score":0.48427075147628784},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.46398428082466125},{"id":"https://openalex.org/C2909946758","wikidata":"https://www.wikidata.org/wiki/Q194277","display_name":"Spike train","level":3,"score":0.4627845883369446},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.45069390535354614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4328964650630951},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3866279721260071},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.36185944080352783},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.352908194065094},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1977074146270752},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1942441761493683},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.14144206047058105},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07930094003677368},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"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":"D002540","descriptor_name":"Cerebral Cortex","qualifier_ui":"Q000166","qualifier_name":"cytology","is_major_topic":false},{"descriptor_ui":"D002540","descriptor_name":"Cerebral Cortex","qualifier_ui":"Q000166","qualifier_name":"cytology","is_major_topic":false},{"descriptor_ui":"D002540","descriptor_name":"Cerebral Cortex","qualifier_ui":"Q000166","qualifier_name":"cytology","is_major_topic":false},{"descriptor_ui":"D002540","descriptor_name":"Cerebral Cortex","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D002540","descriptor_name":"Cerebral Cortex","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D002540","descriptor_name":"Cerebral Cortex","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","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":"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":"D009433","descriptor_name":"Neural Inhibition","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009433","descriptor_name":"Neural Inhibition","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009433","descriptor_name":"Neural Inhibition","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009434","descriptor_name":"Neural Pathways","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009434","descriptor_name":"Neural Pathways","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009434","descriptor_name":"Neural Pathways","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"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":"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":"D016012","descriptor_name":"Poisson Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016012","descriptor_name":"Poisson Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016012","descriptor_name":"Poisson Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1162/0899766041732413","is_oa":false,"landing_page_url":"https://doi.org/10.1162/0899766041732413","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:15333210","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/15333210","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}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":108,"referenced_works":["https://openalex.org/W60166153","https://openalex.org/W75457044","https://openalex.org/W80227904","https://openalex.org/W102734365","https://openalex.org/W584578809","https://openalex.org/W988250502","https://openalex.org/W1494334782","https://openalex.org/W1642709034","https://openalex.org/W1797064759","https://openalex.org/W1964332747","https://openalex.org/W1967071544","https://openalex.org/W1970271891","https://openalex.org/W1972686635","https://openalex.org/W1973890449","https://openalex.org/W1976027541","https://openalex.org/W1978956672","https://openalex.org/W1979197578","https://openalex.org/W1979340588","https://openalex.org/W1982889312","https://openalex.org/W1987786599","https://openalex.org/W1987895270","https://openalex.org/W1996034538","https://openalex.org/W1998009571","https://openalex.org/W1999175805","https://openalex.org/W1999352986","https://openalex.org/W2002238002","https://openalex.org/W2002357018","https://openalex.org/W2002735006","https://openalex.org/W2005156903","https://openalex.org/W2005276354","https://openalex.org/W2006375271","https://openalex.org/W2006674676","https://openalex.org/W2007130816","https://openalex.org/W2007698265","https://openalex.org/W2007956922","https://openalex.org/W2008284899","https://openalex.org/W2013701106","https://openalex.org/W2014279411","https://openalex.org/W2015192458","https://openalex.org/W2017496232","https://openalex.org/W2019639290","https://openalex.org/W2019894492","https://openalex.org/W2021427912","https://openalex.org/W2022894179","https://openalex.org/W2022995207","https://openalex.org/W2024888848","https://openalex.org/W2027527700","https://openalex.org/W2031753087","https://openalex.org/W2031868917","https://openalex.org/W2032502219","https://openalex.org/W2032774941","https://openalex.org/W2036608004","https://openalex.org/W2041705593","https://openalex.org/W2042173515","https://openalex.org/W2042312351","https://openalex.org/W2046552713","https://openalex.org/W2051347137","https://openalex.org/W2052197092","https://openalex.org/W2054674045","https://openalex.org/W2056020537","https://openalex.org/W2056679504","https://openalex.org/W2058047494","https://openalex.org/W2060120236","https://openalex.org/W2060381004","https://openalex.org/W2071789713","https://openalex.org/W2073188009","https://openalex.org/W2073780757","https://openalex.org/W2074525643","https://openalex.org/W2075185458","https://openalex.org/W2083488376","https://openalex.org/W2084697446","https://openalex.org/W2084979801","https://openalex.org/W2088003690","https://openalex.org/W2088954536","https://openalex.org/W2094677279","https://openalex.org/W2095762771","https://openalex.org/W2095864287","https://openalex.org/W2099338889","https://openalex.org/W2103845384","https://openalex.org/W2111140392","https://openalex.org/W2115045513","https://openalex.org/W2133801355","https://openalex.org/W2138704896","https://openalex.org/W2144328044","https://openalex.org/W2144987290","https://openalex.org/W2146766016","https://openalex.org/W2151417038","https://openalex.org/W2152564840","https://openalex.org/W2153201079","https://openalex.org/W2154034179","https://openalex.org/W2166740761","https://openalex.org/W2167265924","https://openalex.org/W2167360451","https://openalex.org/W2171873915","https://openalex.org/W2172294131","https://openalex.org/W2243690352","https://openalex.org/W2278560703","https://openalex.org/W2319085245","https://openalex.org/W2341760625","https://openalex.org/W2491311152","https://openalex.org/W2621034497","https://openalex.org/W2751862591","https://openalex.org/W2798149538","https://openalex.org/W2904344554","https://openalex.org/W2905296953","https://openalex.org/W3017314416","https://openalex.org/W4234975092","https://openalex.org/W4252260572"],"related_works":["https://openalex.org/W2383615955","https://openalex.org/W2052715863","https://openalex.org/W2329992713","https://openalex.org/W2062974934","https://openalex.org/W2187212244","https://openalex.org/W1558157446","https://openalex.org/W2173049006","https://openalex.org/W4281636778","https://openalex.org/W2950605049","https://openalex.org/W4283311647"],"abstract_inverted_index":{"Many":[0],"different":[1],"types":[2],"of":[3,39,50,52,121,127,149,154,190,201,205,218,242,264,282,359,365,377,401,409,429,433],"integrate-and-fire":[4,123,180,257],"models":[5,89,124,150,181,308],"have":[6,105,183,245,339],"been":[7,43,62,107],"designed":[8],"in":[9,64,197,229,309,331,346,350,398],"order":[10],"to":[11,21,102,144,171,226,305,327,343,356,384],"explain":[12],"how":[13],"it":[14,279],"is":[15,69,77,125,216,280,303,387,438],"possible":[16],"for":[17,273,390],"a":[18,118,152,248,255,371,417,430,436,442],"cortical":[19,65,111,234,298,385],"neuron":[20,437],"integrate":[22],"over":[23],"many":[24,410],"independent":[25],"inputs":[26,188,195,244,315,338,355,383,434],"while":[27],"still":[28],"producing":[29,128,219,283,332],"highly":[30],"variable":[31],"spike":[32,40,66,92,138,230,285,299,335,361],"trains.":[33,300],"Within":[34],"this":[35,274,310,328,366,402],"context,":[36],"the":[37,48,82,133,191,198,213,239,243,265,306,354,375,382,407,422,426],"variability":[38,76,97,221,289,393],"trains":[41,67,93,139,231,286,362],"has":[42,61],"almost":[44],"exclusively":[45],"measured":[46,108],"using":[47],"coefficient":[49],"variation":[51],"interspike":[53,240],"intervals.":[54],"However,":[55],"another":[56],"important":[57],"statistical":[58],"property":[59],"that":[60,104,117,135,160,182,212,227,259,278,293,313,344,370,406,425],"found":[63,345],"and":[68,98,208,222,290,379],"closely":[70],"associated":[71],"with":[72,94,174,287],"their":[73,136,395],"high":[74,175,220,391],"firing":[75],"long-range":[78,99,223,291,340],"dependence.":[79],"We":[80,113],"investigate":[81],"conditions,":[83],"if":[84,238],"any,":[85],"under":[86],"which":[87,420],"such":[88,129],"produce":[90,172],"output":[91,137,284,334,360],"both":[95],"interspike-interval":[96,288,392],"dependence":[100,224,292,341],"similar":[101,304,342],"those":[103,159],"previously":[106,155,266],"from":[109,233,297,363],"actual":[110],"neurons.":[112],"first":[114],"show":[115,277,405],"analytically":[116],"large":[119,431],"class":[120,148,200],"high-variability":[122],"incapable":[126],"outputs":[130,173],"based":[131],"on":[132,435],"fact":[134],"are":[140,316],"always":[141],"mathematically":[142],"equivalent":[143],"renewal":[145,185,322],"processes.":[146,324],"This":[147,301],"subsumes":[151],"majority":[153],"published":[156],"models,":[157],"including":[158,353],"use":[161],"excitation-inhibition":[162],"balance,":[163],"correlated":[164],"inputs,":[165],"partial":[166],"reset,":[167],"or":[168],"nonlinear":[169],"leakage":[170],"variability.":[176],"Next,":[177],"we":[178,253,276,404],"study":[179],"(nonPoissonian)":[184],"point":[186,193,323],"process":[187,194],"instead":[189],"Poisson":[192,318,412,418,443],"used":[196],"preceding":[199],"models.":[202],"The":[203],"confluence":[204],"our":[206,399],"analytical":[207],"simulation":[209,271],"results":[210,272],"implies":[211],"renewal-input":[214],"model":[215,258,302,367],"capable":[217,281],"comparable":[225],"seen":[228],"recorded":[232],"neurons,":[235],"but":[236],"only":[237],"intervals":[241],"infinite":[246],"variance,":[247],"physiologically":[249],"unrealistic":[250],"condition.":[251],"Finally,":[252],"suggest":[254],"new":[256],"does":[260,414],"not":[261,388,415],"suffer":[262],"any":[263],"mentioned":[267],"shortcomings.":[268],"By":[269],"analyzing":[270],"model,":[275,403],"match":[294],"empirical":[295],"data":[296],"other":[307],"study,":[311],"except":[312],"its":[314,337],"fractional-gaussian-noise-driven":[317,411],"processes":[319,413],"rather":[320],"than":[321],"In":[325],"addition":[326],"model's":[329],"success":[330],"realistic":[333],"trains,":[336],"most":[347],"subcortical":[348],"neurons":[349,386],"sensory":[351],"pathways,":[352],"cortex.":[357],"Analysis":[358],"simulations":[364],"also":[368],"shows":[369],"tight":[372],"balance":[373],"between":[374],"amounts":[376],"excitation":[378],"inhibition":[380],"at":[381,394],"necessary":[389],"outputs.":[396],"Furthermore,":[397],"analysis":[400],"superposition":[408],"approximate":[416],"process,":[419],"challenges":[421],"common":[423],"assumption":[424],"total":[427],"effect":[428],"number":[432],"well":[439],"represented":[440],"by":[441],"process.":[444]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}