{"id":"https://openalex.org/W2117252284","doi":"https://doi.org/10.1142/s0218127405014349","title":"A COMPARATIVE STUDY OF THE HODGKIN\u2013HUXLEY AND FITZHUGH\u2013NAGUMO MODELS OF NEURON PULSE PROPAGATION","display_name":"A COMPARATIVE STUDY OF THE HODGKIN\u2013HUXLEY AND FITZHUGH\u2013NAGUMO MODELS OF NEURON PULSE PROPAGATION","publication_year":2005,"publication_date":"2005-12-01","ids":{"openalex":"https://openalex.org/W2117252284","doi":"https://doi.org/10.1142/s0218127405014349","mag":"2117252284"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127405014349","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405014349","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","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/A5083778862","display_name":"Paul E. Phillipson","orcid":null},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]},{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"PAUL E. PHILLIPSON","raw_affiliation_strings":["Austrian Academy of Sciences, Dr. Ignaz Seipel-Platz 2, A-1010 Wien, Austria","Institut f\u00fcr Theoretische Chemie und Molekulare Strukturbiologie, Universit\u00e4t Wien, W\u00e4hringerstra\u00dfe 17, A-1090 Wien, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Austrian Academy of Sciences, Dr. Ignaz Seipel-Platz 2, A-1010 Wien, Austria","institution_ids":["https://openalex.org/I138211613"]},{"raw_affiliation_string":"Institut f\u00fcr Theoretische Chemie und Molekulare Strukturbiologie, Universit\u00e4t Wien, W\u00e4hringerstra\u00dfe 17, A-1090 Wien, Austria","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101404538","display_name":"Peter Schuster","orcid":"https://orcid.org/0000-0002-2253-8827"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"PETER SCHUSTER","raw_affiliation_strings":["Institut f\u00fcr Theoretische Chemie und Molekulare Strukturbiologie, Universit\u00e4t Wien, W\u00e4hringerstra\u00dfe 17, A-1090 Wien, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Chemie und Molekulare Strukturbiologie, Universit\u00e4t Wien, W\u00e4hringerstra\u00dfe 17, A-1090 Wien, Austria","institution_ids":["https://openalex.org/I129774422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2473,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.58396693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"12","first_page":"3851","last_page":"3866"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9998000264167786,"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":0.9998000264167786,"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/T11177","display_name":"Spectroscopy and Quantum Chemical Studies","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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":0.9979000091552734,"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/hodgkin\u2013huxley-model","display_name":"Hodgkin\u2013Huxley model","score":0.791487455368042},{"id":"https://openalex.org/keywords/pulse","display_name":"Pulse (music)","score":0.7031443119049072},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6574522852897644},{"id":"https://openalex.org/keywords/dimensionless-quantity","display_name":"Dimensionless quantity","score":0.576326847076416},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4458153247833252},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4255889058113098},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3749665915966034},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33767005801200867},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.32299211621284485},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.13394778966903687},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08051684498786926},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07747983932495117}],"concepts":[{"id":"https://openalex.org/C101877181","wikidata":"https://www.wikidata.org/wiki/Q995215","display_name":"Hodgkin\u2013Huxley model","level":2,"score":0.791487455368042},{"id":"https://openalex.org/C2780167933","wikidata":"https://www.wikidata.org/wiki/Q1550652","display_name":"Pulse (music)","level":3,"score":0.7031443119049072},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6574522852897644},{"id":"https://openalex.org/C24872484","wikidata":"https://www.wikidata.org/wiki/Q126818","display_name":"Dimensionless quantity","level":2,"score":0.576326847076416},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4458153247833252},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4255889058113098},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3749665915966034},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33767005801200867},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.32299211621284485},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.13394778966903687},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08051684498786926},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07747983932495117},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127405014349","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127405014349","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321004","display_name":"\u00d6sterreichischen Akademie der Wissenschaften","ror":"https://ror.org/03anc3s24"},{"id":"https://openalex.org/F4320332538","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W345956458","https://openalex.org/W1542782021","https://openalex.org/W1967848725","https://openalex.org/W1978071915","https://openalex.org/W1978610085","https://openalex.org/W1985940938","https://openalex.org/W1988479803","https://openalex.org/W2004055611","https://openalex.org/W2009375605","https://openalex.org/W2010658834","https://openalex.org/W2025068163","https://openalex.org/W2042102840","https://openalex.org/W2048392241","https://openalex.org/W2061191702","https://openalex.org/W2070902103","https://openalex.org/W2071801608","https://openalex.org/W2097863660","https://openalex.org/W2097956305","https://openalex.org/W2116065615","https://openalex.org/W2119533571","https://openalex.org/W2122576752","https://openalex.org/W2334324842","https://openalex.org/W2561018355","https://openalex.org/W3101312118","https://openalex.org/W4238614602","https://openalex.org/W4250716583"],"related_works":["https://openalex.org/W2393220471","https://openalex.org/W3035214572","https://openalex.org/W2990133497","https://openalex.org/W3097484052","https://openalex.org/W2727503437","https://openalex.org/W4389287092","https://openalex.org/W2767303085","https://openalex.org/W2610797193","https://openalex.org/W2394274372","https://openalex.org/W4300140080"],"abstract_inverted_index":{"The":[0,59,272],"four-dimensional":[1],"Hodgkin\u2013Huxley":[2,57,88,208,218,270,288],"equations":[3,47,89,107],"are":[4,40,68,90,108,139,174,197],"considered":[5],"as":[6,256],"the":[7,25,32,45,56,87,93,105,117,120,130,134,142,155,171,195,201,207,217,227,261,269,275,287,290,294,298,301,304,307,311,322],"prototype":[8],"for":[9,98,141,226,237],"description":[10],"of":[11,31,64,82,100,119,154,200,242,259,274,286,297,303,310,321],"neural":[12,66,102],"pulse":[13,67,73,121,144,161,221,265],"propagation.":[14],"Their":[15],"mathematical":[16,38],"complexity":[17],"and":[18,37,72,78,123,160,186,220,232,263],"sophistication":[19],"prompted":[20],"a":[21,65,101,114,198,214,231,243,252,257],"simplified":[22],"two-dimensional":[23],"model,":[24],"FitzHugh\u2013Nagumo":[26,46,106,143,229,291,323],"equations,":[27],"which":[28,115,251],"display":[29],"many":[30],"former's":[33],"dynamical":[34],"features.":[35],"Numerical":[36],"analysis":[39],"employed":[41],"to":[42,132,151,180,206,281,325],"demonstrate":[43],"that":[44,170],"can":[48],"provide":[49],"quantitative":[50,295],"predictions":[51],"in":[52,300],"close":[53,152],"agreement":[54],"with":[55,289],"equations.":[58,209,271],"two":[60,111,172,228],"most":[61],"important":[62],"parameters":[63,230],"its":[69,279],"speed":[70,157,219,262],"c(T)":[71],"height":[74,162,222,266],"v":[75,187],"max":[76,164,188,192],"(T)":[77],"so":[79],"numerical":[80],"computations":[81,138],"these":[83],"quantities":[84],"predicted":[85,267],"by":[86,110,177,268],"given":[91,215],"over":[92],"entire":[94],"temperature":[95,216],"range":[96],"T":[97],"stability":[99],"pulse.":[103,136,312],"Similarly,":[104],"parameterized":[109],"dimensionless":[112,156],"quantities:":[113],"determines":[116],"dynamics":[118,324],"front,":[122],"b":[124],"whose":[125,145],"departure":[126],"from":[127],"zero":[128],"tailors":[129],"front":[131],"form":[133],"resultant":[135],"Parallel":[137],"presented":[140],"relative":[146],"simplicity":[147],"permits":[148],"analytic":[149,235,319],"determination":[150],"approximation":[153],"\u03b8(a,":[158,238],"b)":[159,239],"V":[163,191],"(a,":[165],"b).":[166],"It":[167],"is":[168],"shown":[169],"models":[173,292],"numerically":[175],"identified":[176],"scaling":[178],"according":[179],"c":[181],"=":[182,189],"4904":[183],"\u03b8":[184],"cm/sec":[185],"115":[190],"mV":[193],"where":[194],"numbers":[196],"consequence":[199],"experimental":[202],"parameter":[203],"values":[204,225],"inherent":[205],"With":[210],"this":[211,315],"connection,":[212],"at":[213],"determine":[223],"unique":[224,253],"b.":[233],"Approximate":[234],"solution":[236],"allows":[240],"construction":[241],"three-dimensional":[244],"[a,":[245],"b,":[246],"\u03b8]":[247],"state":[248,276],"plot":[249,277],"upon":[250],"ridge":[254],"defines,":[255],"function":[258],"temperature,":[260],"associated":[264],"generality":[273],"suggests":[278],"application":[280],"other":[282],"conductance":[283],"models.":[284],"Comparison":[285],"highlight":[293],"limitations":[296],"latter":[299],"region":[302],"minimum":[305],"characterizing":[306],"back":[308],"portion":[309],"To":[313],"overcome":[314],"limitation":[316],"would":[317],"require":[318],"extension":[320],"higher":[326],"dimensionality.":[327]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}