{"id":"https://openalex.org/W1498446058","doi":"https://doi.org/10.1007/3-540-36580-x_14","title":"Modeling the Electrical Activity of a Neuron by a Continuous and Piecewise Affine Hybrid System","display_name":"Modeling the Electrical Activity of a Neuron by a Continuous and Piecewise Affine Hybrid System","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1498446058","doi":"https://doi.org/10.1007/3-540-36580-x_14","mag":"1498446058"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-36580-x_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-36580-x_14","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01807138","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091337059","display_name":"Jean\u2010Guillaume Dumas","orcid":"https://orcid.org/0000-0002-2591-172X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jean-Guillaume Dumas","raw_affiliation_strings":["Laboratoire de Mod\u00e9lisation et Calcul Tour IRMA, BP 53, 38041, Grenoble, cedex 9, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Mod\u00e9lisation et Calcul Tour IRMA, BP 53, 38041, Grenoble, cedex 9, France","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084006281","display_name":"Aude Rondepierre","orcid":"https://orcid.org/0000-0001-7366-5677"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aude Rondepierre","raw_affiliation_strings":["Laboratoire de Mod\u00e9lisation et Calcul Tour IRMA, BP 53, 38041, Grenoble, cedex 9, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Mod\u00e9lisation et Calcul Tour IRMA, BP 53, 38041, Grenoble, cedex 9, France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091337059"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.169,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.9488255,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"156","last_page":"171"},"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/T10581","display_name":"Neural dynamics and brain function","score":0.9991999864578247,"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":0.9857000112533569,"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/hodgkin\u2013huxley-model","display_name":"Hodgkin\u2013Huxley model","score":0.6783872842788696},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.6555733680725098},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6461687088012695},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6196848154067993},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.603626549243927},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5961884260177612},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5555581450462341},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5374377965927124},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.46823209524154663},{"id":"https://openalex.org/keywords/current","display_name":"Current (fluid)","score":0.4657123386859894},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.41016367077827454},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3593384623527527},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32201775908470154},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3048627972602844},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.243896484375},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21175616979599},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17479440569877625},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14173102378845215},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06496936082839966}],"concepts":[{"id":"https://openalex.org/C101877181","wikidata":"https://www.wikidata.org/wiki/Q995215","display_name":"Hodgkin\u2013Huxley model","level":2,"score":0.6783872842788696},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6555733680725098},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6461687088012695},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6196848154067993},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.603626549243927},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5961884260177612},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5555581450462341},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5374377965927124},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.46823209524154663},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.4657123386859894},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.41016367077827454},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3593384623527527},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32201775908470154},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3048627972602844},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.243896484375},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21175616979599},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17479440569877625},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14173102378845215},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06496936082839966},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-36580-x_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-36580-x_14","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-01807138v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01807138","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Hybrid Systems: Computation and Control , Apr 2003, Prague, Czech Republic. pp.156-171, ⟨10.1007/3-540-36580-X_14⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01807138v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01807138","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Hybrid Systems: Computation and Control , Apr 2003, Prague, Czech Republic. pp.156-171, ⟨10.1007/3-540-36580-X_14⟩","raw_type":"Conference papers"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.4000000059604645}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W25946478","https://openalex.org/W345956458","https://openalex.org/W432506918","https://openalex.org/W618840137","https://openalex.org/W1521707732","https://openalex.org/W1598855039","https://openalex.org/W1603139886","https://openalex.org/W1677882857","https://openalex.org/W1967675726","https://openalex.org/W1985940938","https://openalex.org/W2006581331","https://openalex.org/W2067126098","https://openalex.org/W2090631087","https://openalex.org/W2119443761","https://openalex.org/W2296389869","https://openalex.org/W4238614602","https://openalex.org/W4240855764"],"related_works":["https://openalex.org/W2133947431","https://openalex.org/W2490196280","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W3208509670","https://openalex.org/W1968813561","https://openalex.org/W1201114281","https://openalex.org/W2109304297","https://openalex.org/W2100864966","https://openalex.org/W2083709218"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}