{"id":"https://openalex.org/W2145835190","doi":"https://doi.org/10.1109/10.594894","title":"The Laplacian inverse problem of electrocardiography: an eccentric spheres study","display_name":"The Laplacian inverse problem of electrocardiography: an eccentric spheres study","publication_year":1997,"publication_date":"1997-07-01","ids":{"openalex":"https://openalex.org/W2145835190","doi":"https://doi.org/10.1109/10.594894","mag":"2145835190","pmid":"https://pubmed.ncbi.nlm.nih.gov/9210813"},"language":"en","primary_location":{"id":"doi:10.1109/10.594894","doi":"https://doi.org/10.1109/10.594894","is_oa":false,"landing_page_url":"https://doi.org/10.1109/10.594894","pdf_url":null,"source":{"id":"https://openalex.org/S5240358","display_name":"IEEE Transactions on Biomedical Engineering","issn_l":"0018-9294","issn":["0018-9294","1558-2531"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","medline","norway-1","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Biomedical Engineering","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/The_Laplacian_Inverse_Problem_of_Electrocardiography_An_Eccentric_Spheres_Study/22832792","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044853429","display_name":"Peter Rex Johnston","orcid":"https://orcid.org/0000-0002-8643-3901","observed_orcids":["https://orcid.org/0000-0002-8643-3901","https://orcid.org/0000-0003-0761-9116"]},"institutions":[{"id":"https://openalex.org/I129801699","display_name":"University of Tasmania","ror":"https://ror.org/01nfmeh72","country_code":"AU","type":"education","lineage":["https://openalex.org/I129801699"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"P.R. Johnston","raw_affiliation_strings":["Division of Clinical Sciences (Medicine), University of Tasmania, Hobart, Australia. peter@vena.med.utas.edu.au","Div. of Clinical Sci., Tasmania Univ., Hobart, Tas., Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Clinical Sciences (Medicine), University of Tasmania, Hobart, Australia. peter@vena.med.utas.edu.au","institution_ids":["https://openalex.org/I129801699"]},{"raw_affiliation_string":"Div. of Clinical Sci., Tasmania Univ., Hobart, Tas., Australia","institution_ids":["https://openalex.org/I129801699"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044853429"],"corresponding_institution_ids":["https://openalex.org/I129801699"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":1.1705,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.77329659,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"44","issue":"7","first_page":"539","last_page":"548"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9922000169754028,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9922000169754028,"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/T11021","display_name":"ECG Monitoring and Analysis","score":0.0017000000225380063,"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/T10572","display_name":"Geophysical and Geoelectrical Methods","score":0.0017000000225380063,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/electrocardiography","display_name":"electrocardiogram","score":0.9210000038146973},{"id":"https://openalex.org/keywords/inverse-problems","display_name":"inverse problems","score":0.9190000295639038},{"id":"https://openalex.org/keywords/epicardial-potential-reconstruction","display_name":"epicardial potential reconstruction","score":0.8510000109672546},{"id":"https://openalex.org/keywords/current-dipoles","display_name":"current dipoles","score":0.8820000290870667},{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.9670000076293945},{"id":"https://openalex.org/keywords/noise-robustness","display_name":"noise robustness","score":0.6499999761581421}],"concepts":[{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.7534056901931763},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.7212811708450317},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.6055628061294556},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.6053703427314758},{"id":"https://openalex.org/C3020541326","wikidata":"https://www.wikidata.org/wiki/Q1796666","display_name":"Body surface","level":2,"score":0.6029178500175476},{"id":"https://openalex.org/C523889960","wikidata":"https://www.wikidata.org/wiki/Q160695","display_name":"Torso","level":2,"score":0.5970401763916016},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.49027684330940247},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45470908284187317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4396651089191437},{"id":"https://openalex.org/C173523689","wikidata":"https://www.wikidata.org/wiki/Q215589","display_name":"Dipole","level":2,"score":0.4120398163795471},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.33352845907211304},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2894042730331421},{"id":"https://openalex.org/C105702510","wikidata":"https://www.wikidata.org/wiki/Q514","display_name":"Anatomy","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[{"descriptor_ui":"D006321","descriptor_name":"Heart","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008564","descriptor_name":"Membrane Potentials","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008955","descriptor_name":"Models, Cardiovascular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016477","descriptor_name":"Artifacts","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D018780","descriptor_name":"Body Surface Potential Mapping","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":true},{"descriptor_ui":"D018780","descriptor_name":"Body Surface Potential Mapping","qualifier_ui":"Q000706","qualifier_name":"statistics & numerical data","is_major_topic":false}],"locations_count":4,"locations":[{"id":"doi:10.1109/10.594894","doi":"https://doi.org/10.1109/10.594894","is_oa":false,"landing_page_url":"https://doi.org/10.1109/10.594894","pdf_url":null,"source":{"id":"https://openalex.org/S5240358","display_name":"IEEE Transactions on Biomedical Engineering","issn_l":"0018-9294","issn":["0018-9294","1558-2531"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","medline","norway-1","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Biomedical Engineering","raw_type":"journal-article"},{"id":"pmid:9210813","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/9210813","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":"IEEE transactions on bio-medical engineering","raw_type":"Comparative Study"},{"id":"pmh:oai:ecite.utas.edu.au:9604","doi":null,"is_oa":false,"landing_page_url":"http://ecite.utas.edu.au/9604","pdf_url":null,"source":{"id":"https://openalex.org/S4306401569","display_name":"eCite Digital Repository (University of Tasmania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I129801699","host_organization_name":"University of Tasmania","host_organization_lineage":["https://openalex.org/I129801699"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Refereed Article"},{"id":"pmh:oai:figshare.com:article/22832792","doi":null,"is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/The_Laplacian_Inverse_Problem_of_Electrocardiography_An_Eccentric_Spheres_Study/22832792","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/22832792","doi":null,"is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/The_Laplacian_Inverse_Problem_of_Electrocardiography_An_Eccentric_Spheres_Study/22832792","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/3","display_name":"Good health and well-being","score":0.5683000087738037}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1981334293","https://openalex.org/W1984499111","https://openalex.org/W2016250307","https://openalex.org/W2017809608","https://openalex.org/W2043007999","https://openalex.org/W2056367990","https://openalex.org/W2079214053","https://openalex.org/W2109100179","https://openalex.org/W2109807675","https://openalex.org/W2129491824","https://openalex.org/W2143760165","https://openalex.org/W2149846618","https://openalex.org/W2151154154","https://openalex.org/W2323759817","https://openalex.org/W2490615762"],"related_works":["https://openalex.org/W2079214053","https://openalex.org/W2101606583","https://openalex.org/W1648384630","https://openalex.org/W972240342","https://openalex.org/W2200797844","https://openalex.org/W2100029049","https://openalex.org/W1875146132","https://openalex.org/W2127414120","https://openalex.org/W2471541662","https://openalex.org/W2105502765"],"abstract_inverted_index":{"The":[0,54],"eccentric":[1],"spheres":[2],"model":[3],"of":[4,15,19,22,37,46,71,105,118,142],"the":[5,12,20,23,33,38,51,89,95,106,119,130,144],"heart-torso":[6],"system":[7],"is":[8,30,85],"used":[9,86],"to":[10,76,87,136],"study":[11],"inverse":[13],"problem":[14],"electrocardiography":[16],"using":[17],"measurements":[18,104,117],"Laplacian":[21,60,109],"body":[24],"surface":[25,40,57,91,100,108,121],"potential":[26,58,92,152],"distribution.":[27,93],"Electrical":[28],"activity":[29],"simulated":[31],"on":[32],"six":[34],"main":[35],"regions":[36],"inner":[39,52,90,99],"by":[41],"considering":[42],"a":[43,66,80],"limited":[44],"number":[45],"current":[47],"dipoles":[48],"placed":[49,133],"within":[50],"sphere.":[53],"resulting":[55],"outer":[56,107,120],"and":[59,97,140,150],"distributions":[61,78,101,124],"are":[62,74,125,132,141,154],"then":[63],"calculated":[64,96],"in":[65,128],"forward":[67],"sense.":[68],"Varying":[69],"amounts":[70],"random":[72],"noise":[73],"added":[75],"these":[77],"before":[79],"zero-order":[81],"Tikhonov":[82],"regularization":[83],"scheme":[84],"recover":[88],"Comparing":[94],"original":[98,138],"indicates":[102],"that":[103,129],"can":[110],"more":[111,126],"accurately":[112],"reconstruct":[113],"epicardial":[114],"potentials":[115],"than":[116],"potentials.":[122],"These":[123],"accurate":[127],"extrema":[131,149],"very":[134],"close":[135],"their":[137],"positions":[139],"nearly":[143],"same":[145],"magnitude.":[146],"Also,":[147],"multiple":[148],"high":[151],"gradients":[153],"recovered.":[155]},"counts_by_year":[],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2016-06-24T00:00:00"}