{"id":"https://openalex.org/W2963554196","doi":"https://doi.org/10.1137/090773519","title":"Dissecting the Phase Response of a Model Bursting Neuron","display_name":"Dissecting the Phase Response of a Model Bursting Neuron","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2963554196","doi":"https://doi.org/10.1137/090773519","mag":"2963554196"},"language":"en","primary_location":{"id":"doi:10.1137/090773519","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090773519","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/A5079783228","display_name":"William Erik Sherwood","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"William Erik Sherwood","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5018563718","display_name":"John Guckenheimer","orcid":"https://orcid.org/0000-0001-6655-7862"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John Guckenheimer","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":2.8976,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.90740042,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"9","issue":"3","first_page":"659","last_page":"703"},"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":0.9998999834060669,"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":0.9991999864578247,"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":0.9610179662704468},{"id":"https://openalex.org/keywords/phase-response-curve","display_name":"Phase response curve","score":0.7635961771011353},{"id":"https://openalex.org/keywords/phase-response","display_name":"Phase response","score":0.6990319490432739},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5706374645233154},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4945466220378876},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.47733408212661743},{"id":"https://openalex.org/keywords/homoclinic-orbit","display_name":"Homoclinic orbit","score":0.47131162881851196},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.4606904983520508},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.4314742386341095},{"id":"https://openalex.org/keywords/magnitude","display_name":"Magnitude (astronomy)","score":0.4209921956062317},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32876384258270264},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.3107532262802124},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22911468148231506},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.10833534598350525},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0845782458782196},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.08269226551055908}],"concepts":[{"id":"https://openalex.org/C195221683","wikidata":"https://www.wikidata.org/wiki/Q5000649","display_name":"Bursting","level":2,"score":0.9610179662704468},{"id":"https://openalex.org/C63531555","wikidata":"https://www.wikidata.org/wiki/Q7180960","display_name":"Phase response curve","level":4,"score":0.7635961771011353},{"id":"https://openalex.org/C54767332","wikidata":"https://www.wikidata.org/wiki/Q1751572","display_name":"Phase response","level":3,"score":0.6990319490432739},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5706374645233154},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4945466220378876},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.47733408212661743},{"id":"https://openalex.org/C200581526","wikidata":"https://www.wikidata.org/wiki/Q690494","display_name":"Homoclinic orbit","level":4,"score":0.47131162881851196},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.4606904983520508},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.4314742386341095},{"id":"https://openalex.org/C126691448","wikidata":"https://www.wikidata.org/wiki/Q2028919","display_name":"Magnitude (astronomy)","level":2,"score":0.4209921956062317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32876384258270264},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.3107532262802124},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22911468148231506},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.10833534598350525},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0845782458782196},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.08269226551055908},{"id":"https://openalex.org/C38606739","wikidata":"https://www.wikidata.org/wiki/Q5121352","display_name":"Circadian clock","level":3,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C121446783","wikidata":"https://www.wikidata.org/wiki/Q208353","display_name":"Circadian rhythm","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/090773519","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090773519","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W43264028","https://openalex.org/W88389025","https://openalex.org/W99189181","https://openalex.org/W1542177822","https://openalex.org/W1918906452","https://openalex.org/W1940618937","https://openalex.org/W1964227337","https://openalex.org/W1969684856","https://openalex.org/W1971657654","https://openalex.org/W1977151718","https://openalex.org/W1986043201","https://openalex.org/W1987054464","https://openalex.org/W1990636640","https://openalex.org/W1999170261","https://openalex.org/W2003600785","https://openalex.org/W2008000547","https://openalex.org/W2009334861","https://openalex.org/W2009375605","https://openalex.org/W2011459128","https://openalex.org/W2012068782","https://openalex.org/W2016767879","https://openalex.org/W2021973929","https://openalex.org/W2022911541","https://openalex.org/W2026565021","https://openalex.org/W2031726481","https://openalex.org/W2034014645","https://openalex.org/W2042162147","https://openalex.org/W2049739431","https://openalex.org/W2051563793","https://openalex.org/W2053140180","https://openalex.org/W2054589454","https://openalex.org/W2059625173","https://openalex.org/W2064108635","https://openalex.org/W2068920964","https://openalex.org/W2071147887","https://openalex.org/W2082380332","https://openalex.org/W2083535648","https://openalex.org/W2086543766","https://openalex.org/W2087380028","https://openalex.org/W2093685279","https://openalex.org/W2093749510","https://openalex.org/W2111728658","https://openalex.org/W2119443761","https://openalex.org/W2121196281","https://openalex.org/W2124779555","https://openalex.org/W2126841507","https://openalex.org/W2140694346","https://openalex.org/W2143980865","https://openalex.org/W2144067591","https://openalex.org/W2149525340","https://openalex.org/W2151094909","https://openalex.org/W2154323800","https://openalex.org/W2163057446","https://openalex.org/W2166430808","https://openalex.org/W2220903811","https://openalex.org/W2410067270","https://openalex.org/W4245184090","https://openalex.org/W4246342582","https://openalex.org/W4249122194","https://openalex.org/W4253775301","https://openalex.org/W4255200020"],"related_works":["https://openalex.org/W2279706884","https://openalex.org/W4296292881","https://openalex.org/W3197610365","https://openalex.org/W2012062412","https://openalex.org/W1999762635","https://openalex.org/W2411329379","https://openalex.org/W1980095615","https://openalex.org/W3112528576","https://openalex.org/W2963554196","https://openalex.org/W2000066873"],"abstract_inverted_index":{"We":[0,74],"investigate":[1],"the":[2,7,42,61,83,97,104,108,124,132,136,141,146,154,158,162,167,201],"phase":[3,15,72,84,101,143,193],"response":[4,16,85,102,144],"properties":[5],"of":[6,10,29,50,63,107,131,140,153,203],"Hindmarsh\u2013Rose":[8],"model":[9],"neuronal":[11,52],"bursting":[12,148],"using":[13,200],"burst":[14,66,109,163,185],"curves":[17],"(BPRCs)":[18],"computed":[19],"with":[20,120],"an":[21],"infinitesimal":[22],"perturbation":[23,92],"approximation":[24],"and":[25,46,54,78,90,138],"by":[26,183],"direct":[27],"simulation":[28],"synaptic":[30],"input.":[31],"The":[32,100,128,151],"resulting":[33],"BPRCs":[34],"have":[35],"a":[36],"significantly":[37],"more":[38],"complicated":[39],"structure":[40],"than":[41],"usual":[43],"Type":[44,47],"I":[45],"II":[48],"PRCs":[49],"spiking":[51],"models,":[53],"they":[55],"exhibit":[56],"highly":[57],"timing-sensitive":[58],"changes":[59,175],"in":[60,87,123,157,176],"number":[62,178],"spikes":[64],"per":[65,179],"that":[67,195],"lead":[68],"to":[69,81,190],"large":[70,191],"magnitude":[71,192],"responses.":[73],"use":[75],"fast-slow":[76],"dissection":[77],"isochron":[79,129,168],"calculations":[80],"analyze":[82],"dynamics":[86],"both":[88],"weak":[89,116],"strong":[91],"regimes.":[93],"Our":[94],"findings":[95],"include":[96],"following:":[98],"(1)":[99],"during":[103,145,161],"active":[105,147],"segment":[106],"displays":[110],"considerable":[111],"sensitivity":[112,139],"(even":[113],"for":[114,199],"very":[115],"perturbations)":[117],"closely":[118],"associated":[119],"spike":[121,177],"times":[122],"perturbed":[125],"burster.":[126],"(2)":[127],"geometry":[130],"fast":[133,159],"subsystem":[134,160],"explains":[135],"shape":[137],"recorded":[142],"segment.":[149],"(3)":[150],"onset":[152],"homoclinic":[155],"bifurcation":[156],"cycle":[164],"strongly":[165],"affects":[166],"geometry.":[169],"(4)":[170],"Strong":[171],"perturbations":[172],"may":[173],"trigger":[174],"burst,":[180],"sometimes":[181],"accompanied":[182],"early":[184],"initiation":[186],"or":[187],"termination,":[188],"leading":[189],"responses":[194],"cannot":[196],"be":[197],"accounted":[198],"theory":[202],"weakly":[204],"coupled":[205],"oscillators.":[206]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":8},{"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"}