{"id":"https://openalex.org/W2042368634","doi":"https://doi.org/10.1007/s10589-009-9280-3","title":"Numerical solution for optimal control of\u00a0the\u00a0reaction-diffusion equations in cardiac electrophysiology","display_name":"Numerical solution for optimal control of\u00a0the\u00a0reaction-diffusion equations in cardiac electrophysiology","publication_year":2009,"publication_date":"2009-08-07","ids":{"openalex":"https://openalex.org/W2042368634","doi":"https://doi.org/10.1007/s10589-009-9280-3","mag":"2042368634"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-009-9280-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-009-9280-3","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","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/A5103472599","display_name":"Chamakuri Nagaiah","orcid":null},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Chamakuri Nagaiah","raw_affiliation_strings":["Institute of Mathematics and Scientific Computing, University of Graz, Heinrichstr. 36, Graz, 8010, Austria","Institute of Mathematics and Scientific Computing, University of Graz, Graz, Austria 8010#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Scientific Computing, University of Graz, Heinrichstr. 36, Graz, 8010, Austria","institution_ids":["https://openalex.org/I15766117"]},{"raw_affiliation_string":"Institute of Mathematics and Scientific Computing, University of Graz, Graz, Austria 8010#TAB#","institution_ids":["https://openalex.org/I15766117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074607617","display_name":"Karl Kunisch","orcid":"https://orcid.org/0000-0003-1113-7355"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Karl Kunisch","raw_affiliation_strings":["Institute of Mathematics and Scientific Computing, University of Graz, Heinrichstr. 36, Graz, 8010, Austria","Institute of Mathematics and Scientific Computing, University of Graz, Graz, Austria 8010#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Scientific Computing, University of Graz, Heinrichstr. 36, Graz, 8010, Austria","institution_ids":["https://openalex.org/I15766117"]},{"raw_affiliation_string":"Institute of Mathematics and Scientific Computing, University of Graz, Graz, Austria 8010#TAB#","institution_ids":["https://openalex.org/I15766117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012616951","display_name":"Gernot Plank","orcid":"https://orcid.org/0000-0002-7380-6908"},"institutions":[{"id":"https://openalex.org/I202276237","display_name":"Medical University of Graz","ror":"https://ror.org/02n0bts35","country_code":"AT","type":"education","lineage":["https://openalex.org/I202276237"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Gernot Plank","raw_affiliation_strings":["Institute of Biophysics, Medical University of Graz, Harrachgasse 21, Graz, 8010, Austria","Institute of Biophysics, Medical University of Graz, Graz, Austria 8010#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Biophysics, Medical University of Graz, Harrachgasse 21, Graz, 8010, Austria","institution_ids":["https://openalex.org/I202276237"]},{"raw_affiliation_string":"Institute of Biophysics, Medical University of Graz, Graz, Austria 8010#TAB#","institution_ids":["https://openalex.org/I202276237"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103472599"],"corresponding_institution_ids":["https://openalex.org/I15766117"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.0833,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.92056222,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"49","issue":"1","first_page":"149","last_page":"178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10217","display_name":"Cardiac electrophysiology and arrhythmias","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2705","display_name":"Cardiology and Cardiovascular Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10217","display_name":"Cardiac electrophysiology and arrhythmias","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2705","display_name":"Cardiology and Cardiovascular Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.983299970626831,"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/T11217","display_name":"Cardiac Arrhythmias and Treatments","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/2705","display_name":"Cardiology and Cardiovascular Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bidomain-model","display_name":"Bidomain model","score":0.8148753643035889},{"id":"https://openalex.org/keywords/cardiac-electrophysiology","display_name":"Cardiac electrophysiology","score":0.6842003464698792},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6562836170196533},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6358727216720581},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.4763607978820801},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.47582104802131653},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.4754573702812195},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4613037705421448},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43772774934768677},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4223950505256653},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2609241008758545},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1844194233417511},{"id":"https://openalex.org/keywords/electrophysiology","display_name":"Electrophysiology","score":0.15515205264091492}],"concepts":[{"id":"https://openalex.org/C2778674958","wikidata":"https://www.wikidata.org/wiki/Q4904213","display_name":"Bidomain model","level":2,"score":0.8148753643035889},{"id":"https://openalex.org/C61381695","wikidata":"https://www.wikidata.org/wiki/Q3302130","display_name":"Cardiac electrophysiology","level":3,"score":0.6842003464698792},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6562836170196533},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6358727216720581},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.4763607978820801},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.47582104802131653},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.4754573702812195},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4613037705421448},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43772774934768677},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4223950505256653},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2609241008758545},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1844194233417511},{"id":"https://openalex.org/C185263204","wikidata":"https://www.wikidata.org/wiki/Q1154774","display_name":"Electrophysiology","level":2,"score":0.15515205264091492},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-009-9280-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-009-9280-3","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:coopap:v:49:y:2011:i:1:p:149-178","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-009-9280-3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W75801351","https://openalex.org/W1577789931","https://openalex.org/W1970918197","https://openalex.org/W1979012638","https://openalex.org/W1995504856","https://openalex.org/W2002660415","https://openalex.org/W2005865511","https://openalex.org/W2005993072","https://openalex.org/W2014514899","https://openalex.org/W2016302489","https://openalex.org/W2047794637","https://openalex.org/W2062882827","https://openalex.org/W2083456832","https://openalex.org/W2096585592","https://openalex.org/W2102635728","https://openalex.org/W2108822093","https://openalex.org/W2143421921","https://openalex.org/W2163071496","https://openalex.org/W2165378025","https://openalex.org/W2277164278","https://openalex.org/W2324452751","https://openalex.org/W3029645440","https://openalex.org/W4293515545","https://openalex.org/W4301014524"],"related_works":["https://openalex.org/W2991917201","https://openalex.org/W2487199492","https://openalex.org/W3132344810","https://openalex.org/W2155755104","https://openalex.org/W2424675459","https://openalex.org/W3211009370","https://openalex.org/W3106098303","https://openalex.org/W2568398386","https://openalex.org/W2737510573","https://openalex.org/W634326660"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":10}],"updated_date":"2026-05-26T13:28:51.108037","created_date":"2025-10-10T00:00:00"}