{"id":"https://openalex.org/W4391476836","doi":"https://doi.org/10.1137/22m1516877","title":"Jacobi Processes with Jumps as Neuronal Models: A First Passage Time Analysis","display_name":"Jacobi Processes with Jumps as Neuronal Models: A First Passage Time Analysis","publication_year":2024,"publication_date":"2024-02-02","ids":{"openalex":"https://openalex.org/W4391476836","doi":"https://doi.org/10.1137/22m1516877"},"language":"en","primary_location":{"id":"doi:10.1137/22m1516877","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1516877","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5091048572","display_name":"Giuseppe D\u2019Onofrio","orcid":"https://orcid.org/0000-0002-6155-3114"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giuseppe D\u2019Onofrio","raw_affiliation_strings":["Dipartimento di Scienze Matematiche, Politecnico di Torino, 10129 Turin, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Matematiche, Politecnico di Torino, 10129 Turin, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006778951","display_name":"Pierre Patie","orcid":"https://orcid.org/0000-0003-4221-0439"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pierre Patie","raw_affiliation_strings":["School of Operations Research and Information Engineering, Cornell University, Ithaca, NY 14853 USA"],"raw_orcid":"https://orcid.org/0000-0003-4221-0439","affiliations":[{"raw_affiliation_string":"School of Operations Research and Information Engineering, Cornell University, Ithaca, NY 14853 USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050134674","display_name":"Laura Sacerdote","orcid":"https://orcid.org/0000-0003-2527-5935"},"institutions":[{"id":"https://openalex.org/I55143463","display_name":"University of Turin","ror":"https://ror.org/048tbm396","country_code":"IT","type":"education","lineage":["https://openalex.org/I55143463"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Laura Sacerdote","raw_affiliation_strings":["Dipartimento di Matematica \u201cG. Peano,\u201d Universit\u00e0 degli Studi di Torino, 10123 Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica \u201cG. Peano,\u201d Universit\u00e0 degli Studi di Torino, 10123 Torino, Italy","institution_ids":["https://openalex.org/I55143463"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091048572"],"corresponding_institution_ids":["https://openalex.org/I177477856"],"apc_list":null,"apc_paid":null,"fwci":1.3478,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77881521,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"84","issue":"1","first_page":"189","last_page":"214"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9991999864578247,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9986000061035156,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9962999820709229,"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/first-hitting-time-model","display_name":"First-hitting-time model","score":0.45573362708091736},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4190226197242737},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4076552987098694},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40008148550987244},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3557196259498596},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34074780344963074},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2946464717388153}],"concepts":[{"id":"https://openalex.org/C186659197","wikidata":"https://www.wikidata.org/wiki/Q5452195","display_name":"First-hitting-time model","level":2,"score":0.45573362708091736},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4190226197242737},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4076552987098694},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40008148550987244},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3557196259498596},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34074780344963074},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2946464717388153}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1516877","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1516877","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W52044255","https://openalex.org/W423603040","https://openalex.org/W1481635279","https://openalex.org/W1512746852","https://openalex.org/W1631495829","https://openalex.org/W1972121666","https://openalex.org/W1980935837","https://openalex.org/W1987034723","https://openalex.org/W1995801460","https://openalex.org/W2024561810","https://openalex.org/W2025555713","https://openalex.org/W2029633324","https://openalex.org/W2029924743","https://openalex.org/W2046125853","https://openalex.org/W2047943053","https://openalex.org/W2060195117","https://openalex.org/W2063959270","https://openalex.org/W2067418529","https://openalex.org/W2089774894","https://openalex.org/W2095022236","https://openalex.org/W2116771774","https://openalex.org/W2131707961","https://openalex.org/W2165162498","https://openalex.org/W2194786082","https://openalex.org/W2331619441","https://openalex.org/W2480410471","https://openalex.org/W2484133566","https://openalex.org/W2735278850","https://openalex.org/W2895236491","https://openalex.org/W2898217265","https://openalex.org/W2904928644","https://openalex.org/W2913500132","https://openalex.org/W2962963470","https://openalex.org/W2963958875","https://openalex.org/W2964191729","https://openalex.org/W2964914614","https://openalex.org/W2965527835","https://openalex.org/W2991772440","https://openalex.org/W3022624212","https://openalex.org/W3094613452","https://openalex.org/W3103032837","https://openalex.org/W3104154334","https://openalex.org/W3104687332","https://openalex.org/W3125502976","https://openalex.org/W3126740471","https://openalex.org/W3158310091","https://openalex.org/W4214686751","https://openalex.org/W4229868531","https://openalex.org/W4233477374","https://openalex.org/W4301385844","https://openalex.org/W4313414032","https://openalex.org/W4319348816"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2089289553"],"abstract_inverted_index":{".To":[0],"overcome":[1],"some":[2,72,147],"limits":[3],"of":[4,13,29,36,47,71,74,96,106,136,140,149,154],"classical":[5,15,108],"neuronal":[6],"models,":[7],"we":[8,61,78],"propose":[9],"a":[10,30,56,82],"Markovian":[11,50],"generalization":[12,73],"the":[14,27,43,48,94,104,107,137,141,150,155],"model":[16],"based":[17],"on":[18,100],"Jacobi":[19,51,109],"processes":[20],"by":[21,41],"introducing":[22],"downwards":[23],"jumps":[24,54],"to":[25],"describe":[26],"activity":[28],"single":[31],"neuron.":[32],"The":[33],"statistical":[34],"analysis":[35],"interspike":[37],"intervals":[38],"is":[39,67,91,144],"performed":[40,145],"studying":[42],"first":[44],"passage":[45,160],"times":[46],"proposed":[49],"process":[52,110],"with":[53],"through":[55],"constant":[57],"boundary.":[58],"In":[59],"particular,":[60],"characterize":[62],"its":[63,86,112],"Laplace":[64],"transform,":[65],"which":[66,90,114],"expressed":[68],"in":[69,93,119],"terms":[70],"hypergeometric":[75],"functions":[76],"that":[77],"introduce,":[79],"and":[80,111,153],"deduce":[81],"closed-form":[83],"expression":[84],"for":[85,146],"expectation.":[87],"Our":[88],"approach,":[89],"original":[92],"context":[95],"first-passage-time":[97],"problems,":[98],"relies":[99],"intertwining":[101],"relations":[102],"between":[103],"semigroups":[105],"generalization,":[113],"have":[115],"been":[116],"recently":[117],"established":[118],"[P.":[120],"Cheridito":[121],"et":[122],"al.,":[123],"J.":[124],"Ec.":[125],"Polytech.":[126],"-":[127],"Math.,":[128],"8":[129],"(2021),":[130],"pp.":[131],"331\u2013378].":[132],"A":[133],"numerical":[134],"investigation":[135],"firing":[138],"rate":[139],"considered":[142],"neuron":[143],"choices":[148],"involved":[151],"parameters":[152],"jump":[156],"distributions.Keywordsnon-local":[157],"Wright\u2013Fisher":[158],"processfirst":[159],"timeintertwining":[161],"relationsMarkov":[162],"semigroupsinfinitesimal":[163],"generatorsneuronal":[164],"modelingMSC":[165],"codes37A3047D0647G2060J7560J70":[166]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
