{"id":"https://openalex.org/W2105670883","doi":"https://doi.org/10.1109/bmei.2009.5305448","title":"Numerical Study on the Mathematical Model of the Cardiac Electrical Conduction","display_name":"Numerical Study on the Mathematical Model of the Cardiac Electrical Conduction","publication_year":2009,"publication_date":"2009-10-01","ids":{"openalex":"https://openalex.org/W2105670883","doi":"https://doi.org/10.1109/bmei.2009.5305448","mag":"2105670883"},"language":"en","primary_location":{"id":"doi:10.1109/bmei.2009.5305448","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bmei.2009.5305448","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 2nd International Conference on Biomedical Engineering and Informatics","raw_type":"proceedings-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/A5100604500","display_name":"Hong Zhang","orcid":"https://orcid.org/0000-0003-4835-5380"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hong Zhang","raw_affiliation_strings":["Sch. of Electr. Eng., Xi'an Jiaotong Univ., Xi'an, China","[Sch. of Electr. Eng., Xi'an Jiaotong Univ., Xi'an, China]"],"affiliations":[{"raw_affiliation_string":"Sch. of Electr. Eng., Xi'an Jiaotong Univ., Xi'an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"[Sch. of Electr. Eng., Xi'an Jiaotong Univ., Xi'an, China]","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010808207","display_name":"Yinbin Jin","orcid":null},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yin-bin Jin","raw_affiliation_strings":["Sch. of Electr. Eng., Xi'an Jiaotong Univ., Xi'an, China","[Sch. of Electr. Eng., Xi'an Jiaotong Univ., Xi'an, China]"],"affiliations":[{"raw_affiliation_string":"Sch. of Electr. Eng., Xi'an Jiaotong Univ., Xi'an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"[Sch. of Electr. Eng., Xi'an Jiaotong Univ., Xi'an, China]","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100786035","display_name":"Wei Zhao","orcid":"https://orcid.org/0000-0002-9105-7322"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Zhao","raw_affiliation_strings":["Sch. of Electr. Eng., Xi'an Jiaotong Univ., Xi'an, China","[Sch. of Electr. Eng., Xi'an Jiaotong Univ., Xi'an, China]"],"affiliations":[{"raw_affiliation_string":"Sch. of Electr. Eng., Xi'an Jiaotong Univ., Xi'an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"[Sch. of Electr. Eng., Xi'an Jiaotong Univ., Xi'an, China]","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101452659","display_name":"Huaqing Liang","orcid":"https://orcid.org/0000-0001-5973-4656"},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hua-qing Liang","raw_affiliation_strings":["Sch. of Math. & Comput. Sci., Xiangtan Univ., Xiangtan, China"],"affiliations":[{"raw_affiliation_string":"Sch. of Math. & Comput. Sci., Xiangtan Univ., Xiangtan, China","institution_ids":["https://openalex.org/I4610292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102801229","display_name":"Mingjun Li","orcid":"https://orcid.org/0000-0002-6351-5154"},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming-jun Li","raw_affiliation_strings":["Sch. of Math. & Comput. Sci., Xiangtan Univ., Xiangtan, China"],"affiliations":[{"raw_affiliation_string":"Sch. of Math. & Comput. Sci., Xiangtan Univ., Xiangtan, China","institution_ids":["https://openalex.org/I4610292"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100604500"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15550211,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9853000044822693,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9853000044822693,"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"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9599999785423279,"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/T10022","display_name":"Semiconductor Quantum Structures and Devices","score":0.9571999907493591,"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/finite-difference-method","display_name":"Finite difference method","score":0.6055646538734436},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5697135329246521},{"id":"https://openalex.org/keywords/cardiac-electrophysiology","display_name":"Cardiac electrophysiology","score":0.5425153374671936},{"id":"https://openalex.org/keywords/thermal-conduction","display_name":"Thermal conduction","score":0.5145630240440369},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5108851790428162},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4939027428627014},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.4718228280544281},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.45956355333328247},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45185959339141846},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41818541288375854},{"id":"https://openalex.org/keywords/computer-simulation","display_name":"Computer simulation","score":0.4135606586933136},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38500452041625977},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3134053945541382},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15917527675628662},{"id":"https://openalex.org/keywords/simulation","display_name":"Simulation","score":0.14155679941177368},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11219441890716553}],"concepts":[{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.6055646538734436},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5697135329246521},{"id":"https://openalex.org/C61381695","wikidata":"https://www.wikidata.org/wiki/Q3302130","display_name":"Cardiac electrophysiology","level":3,"score":0.5425153374671936},{"id":"https://openalex.org/C172100665","wikidata":"https://www.wikidata.org/wiki/Q7465774","display_name":"Thermal conduction","level":2,"score":0.5145630240440369},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5108851790428162},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4939027428627014},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.4718228280544281},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.45956355333328247},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45185959339141846},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41818541288375854},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.4135606586933136},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38500452041625977},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3134053945541382},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15917527675628662},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.14155679941177368},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11219441890716553},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0},{"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/C185263204","wikidata":"https://www.wikidata.org/wiki/Q1154774","display_name":"Electrophysiology","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/bmei.2009.5305448","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bmei.2009.5305448","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 2nd International Conference on Biomedical Engineering and Informatics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being","score":0.6000000238418579}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W99543039","https://openalex.org/W2010213762","https://openalex.org/W2028146834","https://openalex.org/W2059086941","https://openalex.org/W2112522502","https://openalex.org/W2132561989","https://openalex.org/W2257374458","https://openalex.org/W2347975027","https://openalex.org/W2388867286","https://openalex.org/W4285719527","https://openalex.org/W6604106085","https://openalex.org/W6691969586","https://openalex.org/W7008791804"],"related_works":["https://openalex.org/W2102789413","https://openalex.org/W2096467061","https://openalex.org/W1532287630","https://openalex.org/W2940603871","https://openalex.org/W2360428842","https://openalex.org/W2052500721","https://openalex.org/W2082296130","https://openalex.org/W2374930247","https://openalex.org/W2374309527","https://openalex.org/W4299508867"],"abstract_inverted_index":{"The":[0,63,79,98,156],"most":[1],"vicious":[2],"ventricular":[3],"arrhythmias":[4],"are":[5,42],"thought":[6],"to":[7,26,56,69,89,107,114],"underlie":[8],"the":[9,58,71,75,91,110,116,149,164,173,177],"majority":[10],"of":[11,94,176],"sudden":[12],"cardiac":[13,59,111,178],"death.":[14],"Computer":[15],"simulations":[16],"based":[17],"on":[18],"complex":[19],"mathematical":[20],"models":[21,33],"have":[22],"been":[23],"widely":[24],"used":[25,68],"reveal":[27],"their":[28],"mechanisms.":[29],"To":[30],"solve":[31,70,90,115],"these":[32],"with":[34,83],"high":[35],"accuracy":[36,147],"and":[37,124,136,170],"less":[38],"computing":[39,135,165],"time":[40,64,85],"consumption":[41],"what":[43],"people":[44],"look":[45],"for.":[46],"In":[47],"this":[48,132],"paper":[49],"a":[50],"new":[51],"numerical":[52,144],"method":[53,66,82,103,141],"was":[54,67,87,104],"studied":[55,106],"integrate":[57],"electrical":[60,112,179],"conduction":[61,113],"model.":[62],"splitting":[65],"reaction-diffusion":[72],"equations":[73],"for":[74],"developed":[76],"two-dimensional":[77],"tissue.":[78],"second-order":[80],"Runge-Kutta":[81],"adaptive":[84],"step":[86],"applied":[88],"action":[92],"potential":[93],"each":[95],"single":[96],"cell.":[97],"perturbation":[99],"finite":[100],"difference":[101,153],"(PFD)":[102],"first":[105],"use":[108],"in":[109,129,131,172],"partial":[117],"differential":[118],"equation":[119],"(PDE).":[120],"Its":[121],"discretization":[122],"processes":[123],"finial":[125],"scheme":[126],"were":[127],"described":[128],"detail":[130],"paper.":[133],"By":[134],"comparing,":[137],"we":[138],"found":[139],"PFD":[140],"had":[142],"good":[143],"stability,":[145],"higher":[146],"than":[148],"conventional":[150],"five-point":[151],"centered":[152],"(CD)":[154],"method.":[155],"precision":[157],"could":[158],"be":[159],"improved":[160],"without":[161],"obvious":[162],"increasing":[163],"time,":[166],"implying":[167],"its":[168],"reliability":[169],"feasibility":[171],"simulation":[174],"studies":[175],"activities.":[180]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}