{"id":"https://openalex.org/W2145654105","doi":"https://doi.org/10.1162/neco.2008.03-07-497","title":"Theory of Input Spike Auto- and Cross-Correlations and Their Effect on the Response of Spiking Neurons","display_name":"Theory of Input Spike Auto- and Cross-Correlations and Their Effect on the Response of Spiking Neurons","publication_year":2008,"publication_date":"2008-02-06","ids":{"openalex":"https://openalex.org/W2145654105","doi":"https://doi.org/10.1162/neco.2008.03-07-497","mag":"2145654105","pmid":"https://pubmed.ncbi.nlm.nih.gov/18254697"},"language":"en","primary_location":{"id":"doi:10.1162/neco.2008.03-07-497","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco.2008.03-07-497","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/A5073561258","display_name":"Rub\u00e9n Moreno\u2010Bote","orcid":"https://orcid.org/0000-0003-0398-014X"},"institutions":[{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Rub\u00e9n Moreno-Bote","raw_affiliation_strings":["Departamento de F\u00edsica Te\u00f3rica. Universidad Aut\u00f3noma de Madrid, Cantoblanco 28049, Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica Te\u00f3rica. Universidad Aut\u00f3noma de Madrid, Cantoblanco 28049, Madrid, Spain","institution_ids":["https://openalex.org/I63634437"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057372129","display_name":"Alfonso Renart","orcid":"https://orcid.org/0000-0001-7916-9930"},"institutions":[{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Alfonso Renart","raw_affiliation_strings":["Departamento de F\u00edsica Te\u00f3rica. Universidad Aut\u00f3noma de Madrid, Cantoblanco 28049, Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica Te\u00f3rica. Universidad Aut\u00f3noma de Madrid, Cantoblanco 28049, Madrid, Spain","institution_ids":["https://openalex.org/I63634437"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047074677","display_name":"N\u00e9stor Parga","orcid":"https://orcid.org/0000-0002-0214-5954"},"institutions":[{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"N\u00e9stor Parga","raw_affiliation_strings":["Departamento de F\u00edsica Te\u00f3rica. Universidad Aut\u00f3noma de Madrid, Cantoblanco 28049, Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica Te\u00f3rica. Universidad Aut\u00f3noma de Madrid, Cantoblanco 28049, Madrid, Spain","institution_ids":["https://openalex.org/I63634437"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I63634437"],"apc_list":null,"apc_paid":null,"fwci":2.594,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.89493064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"20","issue":"7","first_page":"1651","last_page":"1705"},"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":0.9962000250816345,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spike","display_name":"Spike (software development)","score":0.7936937808990479},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.5998752117156982},{"id":"https://openalex.org/keywords/spike-train","display_name":"Spike train","score":0.5383815169334412},{"id":"https://openalex.org/keywords/spiking-neural-network","display_name":"Spiking neural network","score":0.4175899028778076},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.3775229752063751},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3676180839538574},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3441700339317322},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3435208797454834},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.2535128891468048}],"concepts":[{"id":"https://openalex.org/C2781390188","wikidata":"https://www.wikidata.org/wiki/Q25203449","display_name":"Spike (software development)","level":2,"score":0.7936937808990479},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.5998752117156982},{"id":"https://openalex.org/C2909946758","wikidata":"https://www.wikidata.org/wiki/Q194277","display_name":"Spike train","level":3,"score":0.5383815169334412},{"id":"https://openalex.org/C11731999","wikidata":"https://www.wikidata.org/wiki/Q9067355","display_name":"Spiking neural network","level":3,"score":0.4175899028778076},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.3775229752063751},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3676180839538574},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3441700339317322},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3435208797454834},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.2535128891468048},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"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":"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":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","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":"D009435","descriptor_name":"Synaptic Transmission","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009435","descriptor_name":"Synaptic Transmission","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009435","descriptor_name":"Synaptic Transmission","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":"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":"D016011","descriptor_name":"Normal Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016011","descriptor_name":"Normal Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016011","descriptor_name":"Normal 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":"D016012","descriptor_name":"Poisson Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D017729","descriptor_name":"Presynaptic Terminals","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D017729","descriptor_name":"Presynaptic Terminals","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D017729","descriptor_name":"Presynaptic Terminals","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false}],"locations_count":3,"locations":[{"id":"doi:10.1162/neco.2008.03-07-497","is_oa":false,"landing_page_url":"https://doi.org/10.1162/neco.2008.03-07-497","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:18254697","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/18254697","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:CiteSeerX.psu:10.1.1.140.6210","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.140.6210","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ft.uam.es/neurociencia/ARTICLES/MorenoRenartPargaNC08.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W39447757","https://openalex.org/W266383608","https://openalex.org/W1481189295","https://openalex.org/W1491926324","https://openalex.org/W1507354588","https://openalex.org/W1546197084","https://openalex.org/W1561453761","https://openalex.org/W1586810339","https://openalex.org/W1779723148","https://openalex.org/W1972339319","https://openalex.org/W1973752972","https://openalex.org/W1974696800","https://openalex.org/W1976065213","https://openalex.org/W1981902232","https://openalex.org/W1984909609","https://openalex.org/W1996160549","https://openalex.org/W1999599673","https://openalex.org/W2004478098","https://openalex.org/W2005156903","https://openalex.org/W2006123057","https://openalex.org/W2007956922","https://openalex.org/W2012704126","https://openalex.org/W2022405619","https://openalex.org/W2029691173","https://openalex.org/W2029782028","https://openalex.org/W2031798023","https://openalex.org/W2039567616","https://openalex.org/W2039755641","https://openalex.org/W2045593108","https://openalex.org/W2045824109","https://openalex.org/W2052197092","https://openalex.org/W2054296371","https://openalex.org/W2061402626","https://openalex.org/W2073512103","https://openalex.org/W2084793648","https://openalex.org/W2090490936","https://openalex.org/W2090911390","https://openalex.org/W2093615513","https://openalex.org/W2104758629","https://openalex.org/W2113345172","https://openalex.org/W2119779699","https://openalex.org/W2122047995","https://openalex.org/W2125721708","https://openalex.org/W2132937210","https://openalex.org/W2138704896","https://openalex.org/W2139975927","https://openalex.org/W2142373488","https://openalex.org/W2145036121","https://openalex.org/W2146595362","https://openalex.org/W2146766016","https://openalex.org/W2147623729","https://openalex.org/W2150032800","https://openalex.org/W2150847496","https://openalex.org/W2151176499","https://openalex.org/W2152614615","https://openalex.org/W2154833194","https://openalex.org/W2159687800","https://openalex.org/W2165616177","https://openalex.org/W2166740761","https://openalex.org/W2168022420","https://openalex.org/W2169063061","https://openalex.org/W2170814877","https://openalex.org/W2172274087","https://openalex.org/W2172294131","https://openalex.org/W2341008280","https://openalex.org/W2596931862","https://openalex.org/W2951389575","https://openalex.org/W4245564453"],"related_works":["https://openalex.org/W2383615955","https://openalex.org/W4306175885","https://openalex.org/W4312604567","https://openalex.org/W2165312143","https://openalex.org/W2062974934","https://openalex.org/W2187212244","https://openalex.org/W1558157446","https://openalex.org/W4297619707","https://openalex.org/W2542565870","https://openalex.org/W2583316550"],"abstract_inverted_index":{"Spike":[0],"correlations":[1,41,106,238,292],"between":[2],"neurons":[3,59],"are":[4,42,107,176,253],"ubiquitous":[5],"in":[6,44,108,164,178,277,293,299],"the":[7,18,47,58,61,67,70,84,99,104,111,119,124,141,150,159,162,172,179,212,221,224,234,240,247,257,266,271,278,289],"cortex,":[8],"but":[9],"their":[10,297],"role":[11,298],"is":[12,128],"not":[13,129],"understood.":[14],"Here":[15],"we":[16,139],"describe":[17],"firing":[19,48,174,214,244,272],"response":[20,273],"of":[21,46,57,69,161,166,171,181,223,237,249,291],"a":[22,30,79,89,133,145,167],"leaky":[23],"integrate-and-fire":[24],"neuron":[25],"(LIF)":[26],"when":[27],"it":[28],"receives":[29],"temporarily":[31],"correlated":[32,37],"input":[33,86,105,125,279],"generated":[34,122],"by":[35,78,95,123,132,206,232],"presynaptic":[36,71],"neuronal":[38,294],"populations.":[39],"Input":[40],"characterized":[43],"terms":[45,165],"rates,":[49],"Fano":[50],"factors,":[51],"correlation":[52,55,92,100,112,155,185,229],"coefficients,":[53],"and":[54,110,153,183,192,231,269,296,302],"timescale":[56,101],"driving":[60],"target":[62],"neuron.":[63],"We":[64,260,281],"show":[65],"that":[66],"sum":[68],"spike":[72,126],"trains":[73,127],"cannot":[74],"be":[75,286],"well":[76,130],"described":[77,94,131,189],"Poisson":[80],"process.":[81,137],"In":[82],"fact,":[83],"total":[85,120,142],"current":[87,121,143],"has":[88],"nontrivial":[90],"two-point":[91,154],"function":[93],"two":[96],"main":[97],"parameters:":[98],"(how":[102,114],"precise":[103],"time)":[109],"magnitude":[113],"strong":[115],"they":[116],"are).":[117],"Therefore,":[118],"white":[134],"noise":[135],"gaussian":[136,147],"Instead,":[138],"model":[140],"as":[144],"colored":[146],"process":[148],"with":[149],"same":[151],"mean":[152],"function,":[156],"leading":[157],"to":[158,264,274,285],"formulation":[160],"problem":[163],"Fokker-Planck":[168],"equation.":[169],"Solutions":[170],"output":[173,213],"rate":[175,215],"found":[177],"limit":[180],"short":[182],"long":[184],"timescales.":[186],"The":[187],"solutions":[188,268],"here":[190,255],"expand":[191],"improve":[193],"on":[194,239],"our":[195],"previous":[196],"results":[197,225],"(Moreno,":[198],"de":[199],"la":[200],"Rocha,":[201],"Renart,":[202],"&":[203],"Parga,":[204],"2002)":[205],"presenting":[207],"new":[208],"analytical":[209,267],"expressions":[210],"for":[211,216,226,256,288],"general":[217],"IF":[218],"neurons,":[219],"extending":[220],"validity":[222],"arbitrarily":[227],"large":[228],"magnitude,":[230],"describing":[233],"differential":[235],"effect":[236],"mean-driven":[241],"or":[242],"noise-dominated":[243],"regimes.":[245],"Also":[246],"details":[248],"this":[250,283],"novel":[251],"formalism":[252,284],"given":[254],"first":[258],"time.":[259],"employ":[261],"numerical":[262],"simulations":[263],"confirm":[265],"study":[270,290],"sudden":[275],"changes":[276],"correlations.":[280],"expect":[282],"useful":[287],"networks":[295],"neural":[300],"processing":[301],"information":[303],"transmission.":[304]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":6}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
