{"id":"https://openalex.org/W2057870637","doi":"https://doi.org/10.1137/050625540","title":"The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network","display_name":"The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2057870637","doi":"https://doi.org/10.1137/050625540","mag":"2057870637"},"language":"en","primary_location":{"id":"doi:10.1137/050625540","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050625540","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Dynamical Systems","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/A5089610339","display_name":"Janet Best","orcid":"https://orcid.org/0000-0002-7039-0169"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Janet Best","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042980000","display_name":"Alla Borisyuk","orcid":"https://orcid.org/0000-0001-8412-215X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alla Borisyuk","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064289022","display_name":"Jonathan E. Rubin","orcid":"https://orcid.org/0000-0002-1513-1551"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jonathan Rubin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003658702","display_name":"David Terman","orcid":"https://orcid.org/0000-0002-4744-9863"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David Terman","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5089288259","display_name":"Martin Wechselberger","orcid":"https://orcid.org/0000-0003-2681-3440"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Martin Wechselberger","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8681,"has_fulltext":false,"cited_by_count":87,"citation_normalized_percentile":{"value":0.84285841,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"4","issue":"4","first_page":"1107","last_page":"1139"},"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":0.9994000196456909,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9959999918937683,"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/bursting","display_name":"Bursting","score":0.977249264717102},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.668289840221405},{"id":"https://openalex.org/keywords/tonic","display_name":"Tonic (physiology)","score":0.6254150867462158},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5968891382217407},{"id":"https://openalex.org/keywords/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.5215818285942078},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.49250802397727966},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.41202202439308167},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.3808799386024475},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3365188539028168},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.3358246088027954},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1928027868270874},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.16260001063346863},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.09093999862670898}],"concepts":[{"id":"https://openalex.org/C195221683","wikidata":"https://www.wikidata.org/wiki/Q5000649","display_name":"Bursting","level":2,"score":0.977249264717102},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.668289840221405},{"id":"https://openalex.org/C127573956","wikidata":"https://www.wikidata.org/wiki/Q7821376","display_name":"Tonic (physiology)","level":2,"score":0.6254150867462158},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5968891382217407},{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.5215818285942078},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.49250802397727966},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.41202202439308167},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.3808799386024475},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3365188539028168},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.3358246088027954},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1928027868270874},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.16260001063346863},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.09093999862670898},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/050625540","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050625540","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"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 Dynamical Systems","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":35,"referenced_works":["https://openalex.org/W10447158","https://openalex.org/W96550490","https://openalex.org/W160832363","https://openalex.org/W1560498709","https://openalex.org/W1596321532","https://openalex.org/W1931371976","https://openalex.org/W1940618937","https://openalex.org/W1988507461","https://openalex.org/W1999170261","https://openalex.org/W2029338036","https://openalex.org/W2034014645","https://openalex.org/W2035051040","https://openalex.org/W2037044617","https://openalex.org/W2037688283","https://openalex.org/W2043250458","https://openalex.org/W2050162047","https://openalex.org/W2059881362","https://openalex.org/W2064108635","https://openalex.org/W2067019552","https://openalex.org/W2072835751","https://openalex.org/W2083860551","https://openalex.org/W2087348423","https://openalex.org/W2093685279","https://openalex.org/W2103078370","https://openalex.org/W2108815207","https://openalex.org/W2119443761","https://openalex.org/W2120070895","https://openalex.org/W2146105849","https://openalex.org/W2166697113","https://openalex.org/W2220903811","https://openalex.org/W2485543929","https://openalex.org/W2726654747","https://openalex.org/W4206651839","https://openalex.org/W4235527302","https://openalex.org/W4241062822"],"related_works":["https://openalex.org/W2080788537","https://openalex.org/W3181055709","https://openalex.org/W2363992932","https://openalex.org/W2002830460","https://openalex.org/W2279706884","https://openalex.org/W2625024382","https://openalex.org/W2921724760","https://openalex.org/W2896888754","https://openalex.org/W2022365672","https://openalex.org/W144734819"],"abstract_inverted_index":{"A":[0],"network":[1,125,182],"of":[2,10,25,42,55,60,67,120,132,189,246,261],"excitatory":[3],"neurons":[4],"within":[5,199],"the":[6,11,40,65,71,112,124,153,157,180,186,193,258,269],"pre-B\u00f6tzinger":[7],"complex":[8,78],"({\\mbox{pre-B\u00f6tC}})":[9],"mammalian":[12],"brain":[13],"stem":[14],"has":[15],"been":[16],"found":[17],"experimentally":[18,28],"to":[19,100,264],"generate":[20],"robust,":[21],"synchronized":[22,133,201],"population":[23],"bursts":[24,202],"activity.":[26],"An":[27],"calibrated":[29],"model":[30,62,107],"for":[31,192,242],"{\\mbox{pre-B\u00f6tC}}":[32],"cells":[33],"yields":[34,111],"typical":[35],"square-wave":[36,223],"bursting":[37,72,224,233,274],"behavior":[38],"in":[39,104,179,205,211,256,268,280],"absence":[41],"coupling,":[43,185],"over":[44,116,215,272],"a":[45,93,105,117,206,212,216,221,243,253,265],"certain":[46],"parameter":[47,73,218,247,270,286],"range,":[48],"with":[49,183],"quiescence":[50],"or":[51],"tonic":[52,149],"spiking":[53],"outside":[54],"this":[56,61,84],"range.":[57,219],"Previous":[58],"simulations":[59],"showed":[63],"that":[64],"introduction":[66],"synaptic":[68,121,184],"coupling":[69,122],"extends":[70],"range":[74,119,245,260,271],"significantly":[75],"and":[76,96,139,147,173,203,276],"induces":[77],"effects":[79,103],"on":[80],"burst":[81,171,281],"characteristics.":[82],"In":[83],"paper,":[85],"we":[86,136,162,229],"use":[87],"geometric":[88],"dynamical":[89,154],"systems":[90],"techniques,":[91],"predominantly":[92],"fast/slow":[94],"decomposition":[95],"bifurcation":[97],"analysis":[98,110],"approach,":[99],"explain":[101],"these":[102,160],"two-cell":[106,181],"network.":[108],"Our":[109],"novel":[113],"finding":[114],"that,":[115,178],"broad":[118,244],"strengths,":[123],"can":[126],"support":[127],"two":[128],"qualitatively":[129],"distinct":[130],"forms":[131],"bursting,":[134,141,262],"which":[135,273],"call":[137,230],"symmetric":[138,146],"asymmetric":[140,148],"as":[142,144,236,283],"well":[143],"both":[145],"spiking.":[150],"By":[151],"elucidating":[152],"mechanisms":[155],"underlying":[156],"transitions":[158],"between":[159],"states,":[161],"also":[163],"gain":[164],"insight":[165],"into":[166],"how":[167],"relevant":[168],"parameters":[169],"influence":[170],"duration":[172,282],"interburst":[174],"intervals.":[175],"We":[176],"find":[177],"stable":[187],"family":[188],"periodic":[190],"orbits":[191],"fast":[194],"subsystem":[195],"features":[196],"spike":[197,250],"asynchrony":[198,251],"otherwise":[200],"terminates":[204],"saddle-node":[207],"bifurcation,":[208,214],"rather":[209],"than":[210],"homoclinic":[213],"wide":[217],"As":[220],"result,":[222],"is":[225,252,287],"replaced":[226],"by":[227],"what":[228],"top":[231],"hat":[232],"(also":[234],"known":[235],"fold/fold":[237],"cycle":[238],"bursting),":[239],"at":[240],"least":[241],"values.":[248],"Further,":[249],"key":[254],"ingredient":[255],"shaping":[257],"dynamic":[259],"leading":[263],"significant":[266],"enhancement":[267],"occurs":[275],"an":[277,284],"abrupt":[278],"increase":[279],"appropriate":[285],"varied.":[288]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}