{"id":"https://openalex.org/W166770281","doi":"https://doi.org/10.1201/9781003068136-19","title":"The Use of Spectral Methods in Bidomain Studies","display_name":"The Use of Spectral Methods in Bidomain Studies","publication_year":2020,"publication_date":"2020-08-27","ids":{"openalex":"https://openalex.org/W166770281","doi":"https://doi.org/10.1201/9781003068136-19","mag":"166770281","pmid":"https://pubmed.ncbi.nlm.nih.gov/1478093"},"language":"en","primary_location":{"id":"doi:10.1201/9781003068136-19","doi":"https://doi.org/10.1201/9781003068136-19","is_oa":false,"landing_page_url":"https://doi.org/10.1201/9781003068136-19","pdf_url":null,"source":{"id":"https://openalex.org/S4306463075","display_name":"CRC Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320584","host_organization_name":"CRC Press","host_organization_lineage":["https://openalex.org/P4310320584","https://openalex.org/P4310320547"],"host_organization_lineage_names":["CRC Press","Taylor & Francis"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"High-Performance Computing in Biomedical Research","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W1566007174","display_name":"High-Performance Computing in Biomedical Research"},"type":"book-chapter","indexed_in":["crossref","pubmed"],"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/A5070924694","display_name":"Natalia A. Trayanova","orcid":"https://orcid.org/0000-0002-8661-063X","observed_orcids":["https://orcid.org/0000-0002-8661-063X"]},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Natalia Trayanova","raw_affiliation_strings":["Department of Biomedical Engineering; Duke University; Durham North Carolina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biomedical Engineering; Duke University; Durham North Carolina","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081067342","display_name":"Theo C. Pilkington","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Theo Pilkington","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.00202429,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":"3-4","first_page":"403","last_page":"425"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10217","display_name":"Cardiac electrophysiology and arrhythmias","score":0.8583999872207642,"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":0.8583999872207642,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.010599999688565731,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.009700000286102295,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bidomain-model","display_name":"bidomain model","score":0.949999988079071},{"id":"https://openalex.org/keywords/cardiac-electrophysiology","display_name":"cardiac electrophysiology","score":0.8009999990463257},{"id":"https://openalex.org/keywords/fourier-transform-method","display_name":"Fourier transform method","score":0.847000002861023},{"id":"https://openalex.org/keywords/spectral-methods","display_name":"spectral methods","score":0.8640000224113464},{"id":"https://openalex.org/keywords/intracellular-potential","display_name":"intracellular potential","score":0.7670000195503235},{"id":"https://openalex.org/keywords/extracellular-potentials","display_name":"extracellular potentials","score":0.9990000128746033},{"id":"https://openalex.org/keywords/membrane-potential","display_name":"membrane potential","score":0.8820000290870667},{"id":"https://openalex.org/keywords/myocardial-slices","display_name":"myocardial slices","score":0.7599999904632568},{"id":"https://openalex.org/keywords/anisotropy","display_name":"anisotropy","score":0.7749999761581421},{"id":"https://openalex.org/keywords/membrane-polarization","display_name":"membrane polarization","score":0.5950000286102295},{"id":"https://openalex.org/keywords/cardiac-stimulation","display_name":"cardiac stimulation","score":0.6320000290870667},{"id":"https://openalex.org/keywords/computational-efficiency","display_name":"computational efficiency","score":0.6549999713897705},{"id":"https://openalex.org/keywords/finite-difference-method-comparison","display_name":"finite difference method comparison","score":0.699999988079071}],"concepts":[{"id":"https://openalex.org/C2778674958","wikidata":"https://www.wikidata.org/wiki/Q4904213","display_name":"Bidomain model","level":2,"score":0.693292498588562},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6586555242538452},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5835704803466797},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.5553860068321228},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4999809265136719},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.44485774636268616},{"id":"https://openalex.org/C177937620","wikidata":"https://www.wikidata.org/wiki/Q7254447","display_name":"Pseudo-spectral method","level":4,"score":0.42678719758987427},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.41869693994522095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3962714672088623},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3854472041130066},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.3036743402481079},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.21072331070899963},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07624426484107971},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004553","descriptor_name":"Electric Conductivity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005583","descriptor_name":"Fourier Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D006321","descriptor_name":"Heart","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":true},{"descriptor_ui":"D008432","descriptor_name":"Mathematical Computing","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008564","descriptor_name":"Membrane Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D008955","descriptor_name":"Models, Cardiovascular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016880","descriptor_name":"Anisotropy","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1201/9781003068136-19","doi":"https://doi.org/10.1201/9781003068136-19","is_oa":false,"landing_page_url":"https://doi.org/10.1201/9781003068136-19","pdf_url":null,"source":{"id":"https://openalex.org/S4306463075","display_name":"CRC Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320584","host_organization_name":"CRC Press","host_organization_lineage":["https://openalex.org/P4310320584","https://openalex.org/P4310320547"],"host_organization_lineage_names":["CRC Press","Taylor & Francis"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"High-Performance Computing in Biomedical Research","raw_type":"book-chapter"},{"id":"pmid:1478093","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/1478093","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Critical reviews in biomedical engineering","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2995501591","display_name":null,"funder_award_id":"HL40092","funder_id":"https://openalex.org/F4320337338","funder_display_name":"National Heart, Lung, and Blood Institute"},{"id":"https://openalex.org/G569042953","display_name":"OPTIMIZING DEFIBRILLATION SYSTEMS--MODELS AND EXPERIMENT","funder_award_id":"5r01hl040092-05","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"}],"funders":[{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337338","display_name":"National Heart, Lung, and Blood Institute","ror":"https://ror.org/012pb6c26"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2085242928"],"related_works":["https://openalex.org/W122199293","https://openalex.org/W2038482617","https://openalex.org/W2169958313","https://openalex.org/W2031966739","https://openalex.org/W2160453613","https://openalex.org/W1997644662","https://openalex.org/W2056205236","https://openalex.org/W2112212136","https://openalex.org/W2028121883","https://openalex.org/W2031652749"],"abstract_inverted_index":{"A":[0],"Fourier":[1,87,104],"transform":[2,53,88,105],"method":[3,89],"is":[4,131,168],"developed":[5],"for":[6],"solving":[7,62],"the":[8,14,32,45,51,55,63,77,80,86,96,103,111,125,137,150,154,159,163],"bidomain":[9],"coupled":[10,64],"differential":[11,35,65],"equations":[12,36,47,66],"governing":[13],"intracellular":[15],"and":[16,49,158],"extracellular":[17,128],"potentials":[18,56],"on":[19,162],"a":[20,38,118,122,142],"finite":[21,75,97,155],"sheet":[22],"of":[23,34,41,54,69,102,124,149,165],"cardiac":[24],"cells":[25],"undergoing":[26],"stimulation.":[27],"The":[28,147],"spectral":[29],"formulation":[30],"converts":[31],"system":[33,40],"into":[37],"\"diagonal\"":[39],"algebraic":[42,46],"equations.":[43],"Solving":[44],"directly":[48],"taking":[50],"inverse":[52],"proved":[57],"numerically":[58],"less":[59],"expensive":[60],"than":[61,95],"by":[67,121],"means":[68],"traditional":[70],"numerical":[71],"techniques,":[72],"such":[73],"as":[74],"differences;":[76],"comparison":[78],"between":[79],"computer":[81],"execution":[82],"times":[83,93],"showed":[84],"that":[85,130],"was":[90],"about":[91],"40":[92],"faster":[94],"difference":[98],"method.":[99],"By":[100],"application":[101],"method,":[106],"transmembrane":[107,138],"potential":[108,139],"distributions":[109],"in":[110,133],"two-dimensional":[112],"myocardial":[113],"slice":[114],"were":[115],"calculated.":[116],"For":[117],"tissue":[119,156],"characterized":[120],"ratio":[123],"intra-":[126],"to":[127],"conductivities":[129],"different":[132,151],"all":[134],"principal":[135],"directions,":[136],"distribution":[140],"exhibits":[141],"rather":[143],"complicated":[144],"geometrical":[145],"pattern.":[146],"influence":[148],"anisotropy":[152],"ratios,":[153],"size,":[157],"stimuli":[160],"configuration":[161],"pattern":[164],"membrane":[166],"polarization":[167],"investigated.":[169]},"counts_by_year":[],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2016-06-24T00:00:00"}
