{"id":"https://openalex.org/W2108291866","doi":"https://doi.org/10.1162/neco.2009.07-08-828","title":"Direct Estimation of Inhomogeneous Markov Interval Models of Spike Trains","display_name":"Direct Estimation of Inhomogeneous Markov Interval Models of Spike Trains","publication_year":2009,"publication_date":"2009-06-19","ids":{"openalex":"https://openalex.org/W2108291866","doi":"https://doi.org/10.1162/neco.2009.07-08-828","mag":"2108291866","pmid":"https://pubmed.ncbi.nlm.nih.gov/19538090"},"language":"en","primary_location":{"id":"doi:10.1162/neco.2009.07-08-828","is_oa":true,"landing_page_url":"https://doi.org/10.1162/neco.2009.07-08-828","pdf_url":"https://direct.mit.edu/neco/article-pdf/21/8/2105/824514/neco.2009.07-08-828.pdf","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":true,"oa_status":"bronze","oa_url":"https://direct.mit.edu/neco/article-pdf/21/8/2105/824514/neco.2009.07-08-828.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073099395","display_name":"Daniel K. W\u00f3jcik","orcid":"https://orcid.org/0000-0003-0812-9872"},"institutions":[{"id":"https://openalex.org/I16778253","display_name":"Instytut Biologii Do\u015bwiadczalnej im. Marcelego Nenckiego","ror":"https://ror.org/04waf7p94","country_code":"PL","type":"facility","lineage":["https://openalex.org/I16778253","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Daniel K. W\u00f3jcik","raw_affiliation_strings":["Department of Neurophysiology, Nencki Institute of Experimental Biology, 02-093 Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Neurophysiology, Nencki Institute of Experimental Biology, 02-093 Warsaw, Poland","institution_ids":["https://openalex.org/I16778253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082780486","display_name":"Gabriela Mochol","orcid":null},"institutions":[{"id":"https://openalex.org/I16778253","display_name":"Instytut Biologii Do\u015bwiadczalnej im. Marcelego Nenckiego","ror":"https://ror.org/04waf7p94","country_code":"PL","type":"facility","lineage":["https://openalex.org/I16778253","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Gabriela Mochol","raw_affiliation_strings":["Department of Neurophysiology, Nencki Institute of Experimental Biology, 02-093 Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Neurophysiology, Nencki Institute of Experimental Biology, 02-093 Warsaw, Poland","institution_ids":["https://openalex.org/I16778253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076353022","display_name":"Wit Jakuczun","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wit Jakuczun","raw_affiliation_strings":["WLOG Solutions, Warsaw 02-389, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"WLOG Solutions, Warsaw 02-389, Poland","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040535828","display_name":"Marek Wypych","orcid":"https://orcid.org/0000-0002-8710-0244"},"institutions":[{"id":"https://openalex.org/I16778253","display_name":"Instytut Biologii Do\u015bwiadczalnej im. Marcelego Nenckiego","ror":"https://ror.org/04waf7p94","country_code":"PL","type":"facility","lineage":["https://openalex.org/I16778253","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marek Wypych","raw_affiliation_strings":["Department of Neurophysiology, Nencki Institute of Experimental Biology, 02-093 Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Neurophysiology, Nencki Institute of Experimental Biology, 02-093 Warsaw, Poland","institution_ids":["https://openalex.org/I16778253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046676571","display_name":"Wioletta J. Waleszczyk","orcid":"https://orcid.org/0000-0002-7300-6193"},"institutions":[{"id":"https://openalex.org/I16778253","display_name":"Instytut Biologii Do\u015bwiadczalnej im. Marcelego Nenckiego","ror":"https://ror.org/04waf7p94","country_code":"PL","type":"facility","lineage":["https://openalex.org/I16778253","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Wioletta J. Waleszczyk","raw_affiliation_strings":["Department of Neurophysiology, Nencki Institute of Experimental Biology, 02-093 Warsaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Neurophysiology, Nencki Institute of Experimental Biology, 02-093 Warsaw, Poland","institution_ids":["https://openalex.org/I16778253"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5716,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.6772472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"21","issue":"8","first_page":"2105","last_page":"2113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":1.0,"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":1.0,"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":0.9973999857902527,"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/T10429","display_name":"EEG and Brain-Computer Interfaces","score":0.9961000084877014,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/spike","display_name":"Spike (software development)","score":0.8021180033683777},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.642181396484375},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5565212368965149},{"id":"https://openalex.org/keywords/spike-train","display_name":"Spike train","score":0.5201011896133423},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.49086982011795044},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.41964447498321533},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.41896551847457886},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.41805827617645264},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.34360283613204956},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29269519448280334},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.2565566897392273},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08030742406845093}],"concepts":[{"id":"https://openalex.org/C2781390188","wikidata":"https://www.wikidata.org/wiki/Q25203449","display_name":"Spike (software development)","level":2,"score":0.8021180033683777},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.642181396484375},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5565212368965149},{"id":"https://openalex.org/C2909946758","wikidata":"https://www.wikidata.org/wiki/Q194277","display_name":"Spike train","level":3,"score":0.5201011896133423},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.49086982011795044},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.41964447498321533},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.41896551847457886},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.41805827617645264},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.34360283613204956},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29269519448280334},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2565566897392273},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08030742406845093},{"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":"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":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","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":"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":"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}],"locations_count":3,"locations":[{"id":"doi:10.1162/neco.2009.07-08-828","is_oa":true,"landing_page_url":"https://doi.org/10.1162/neco.2009.07-08-828","pdf_url":"https://direct.mit.edu/neco/article-pdf/21/8/2105/824514/neco.2009.07-08-828.pdf","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:19538090","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19538090","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:repositori.upf.edu:10230/35204","is_oa":false,"landing_page_url":"http://hdl.handle.net/10230/35204","pdf_url":null,"source":{"id":"https://openalex.org/S4306402615","display_name":"Repositori digital de la UPF (Universitat Pompeu Fabra)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I170486558","host_organization_name":"Universitat Pompeu Fabra","host_organization_lineage":["https://openalex.org/I170486558"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1162/neco.2009.07-08-828","is_oa":true,"landing_page_url":"https://doi.org/10.1162/neco.2009.07-08-828","pdf_url":"https://direct.mit.edu/neco/article-pdf/21/8/2105/824514/neco.2009.07-08-828.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2108291866.pdf","grobid_xml":"https://content.openalex.org/works/W2108291866.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W25946478","https://openalex.org/W60166153","https://openalex.org/W1480376833","https://openalex.org/W1542782021","https://openalex.org/W1604430684","https://openalex.org/W1694767778","https://openalex.org/W1985940938","https://openalex.org/W1995945562","https://openalex.org/W2017224289","https://openalex.org/W2024866217","https://openalex.org/W2052197092","https://openalex.org/W2066419322","https://openalex.org/W2067244657","https://openalex.org/W2069519142","https://openalex.org/W2093615513","https://openalex.org/W2096038694","https://openalex.org/W2097560155","https://openalex.org/W2110242299","https://openalex.org/W2129983824","https://openalex.org/W2131215403","https://openalex.org/W2170736841","https://openalex.org/W2479761636","https://openalex.org/W4238614602","https://openalex.org/W4300126076","https://openalex.org/W4388290870"],"related_works":["https://openalex.org/W2383615955","https://openalex.org/W2329992713","https://openalex.org/W2062974934","https://openalex.org/W2187212244","https://openalex.org/W2775582103","https://openalex.org/W1558157446","https://openalex.org/W2173049006","https://openalex.org/W4281636778","https://openalex.org/W2950605049","https://openalex.org/W2014837149"],"abstract_inverted_index":{"A":[0],"necessary":[1],"ingredient":[2],"for":[3],"a":[4,14,51,104],"quantitative":[5],"theory":[6],"of":[7,17,96,107,125],"neural":[8],"coding":[9],"is":[10,28,110,120],"appropriate":[11],"\"spike":[12],"kinematics\":":[13],"precise":[15],"description":[16],"spike":[18,25],"trains.":[19],"While":[20],"summarizing":[21],"experiments":[22],"by":[23],"complete":[24],"time":[26,80,83],"collections":[27],"clearly":[29],"inefficient":[30],"and":[31,81,115],"probably":[32],"unnecessary,":[33],"the":[34,42,55,77,82,85,94,129],"most":[35],"common":[36],"probabilistic":[37],"model":[38,59],"used":[39],"in":[40],"neurophysiology,":[41],"inhomogeneous":[43,56],"Poisson":[44],"process,":[45],"often":[46],"seems":[47],"too":[48],"crude.":[49],"Recently":[50],"more":[52],"general":[53],"model,":[54],"Markov":[57],"interval":[58],"(Berry":[60],"&":[61,66],"Meister,":[62],"1998":[63],";":[64],"Kass":[65],"Ventura,":[67],"2001":[68],"),":[69],"was":[70],"considered,":[71],"which":[72],"takes":[73],"into":[74],"account":[75],"both":[76],"current":[78],"experimental":[79],"from":[84,99,128],"last":[86],"spike.":[87],"Several":[88],"techniques":[89],"were":[90],"proposed":[91],"to":[92,112],"estimate":[93],"parameters":[95],"these":[97],"models":[98],"data.":[100],"Here":[101],"we":[102],"propose":[103],"direct":[105],"method":[106,119],"estimation":[108],"that":[109],"easy":[111],"implement,":[113],"fast,":[114],"conceptually":[116],"simple.":[117],"The":[118],"illustrated":[121],"with":[122],"an":[123],"analysis":[124],"sample":[126],"data":[127],"cat's":[130],"superior":[131],"colliculus.":[132]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}