{"id":"https://openalex.org/W3082519759","doi":"https://doi.org/10.1109/embc44109.2020.9175901","title":"Steady-State Tissue Oxygen Distributions Calculated by a Green\u2019s Function Method and a Finite Difference Method: A Comparison","display_name":"Steady-State Tissue Oxygen Distributions Calculated by a Green\u2019s Function Method and a Finite Difference Method: A Comparison","publication_year":2020,"publication_date":"2020-07-01","ids":{"openalex":"https://openalex.org/W3082519759","doi":"https://doi.org/10.1109/embc44109.2020.9175901","mag":"3082519759","pmid":"https://pubmed.ncbi.nlm.nih.gov/33018462"},"language":"en","primary_location":{"id":"doi:10.1109/embc44109.2020.9175901","is_oa":false,"landing_page_url":"https://doi.org/10.1109/embc44109.2020.9175901","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 42nd Annual International Conference of the IEEE Engineering in Medicine &amp; Biology Society (EMBC)","raw_type":"proceedings-article"},"type":"article","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/A5062172801","display_name":"Baran Serajelahi","orcid":null},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"B. Serajelahi","raw_affiliation_strings":["Department of Medical Biophysics, University of Western Ontario, London, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Medical Biophysics, University of Western Ontario, London, ON, Canada","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055925254","display_name":"Sanjay Kharche","orcid":"https://orcid.org/0000-0002-2634-4894"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"S. Kharche","raw_affiliation_strings":["Department of Medical Biophysics, University of Western Ontario, London, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Medical Biophysics, University of Western Ontario, London, ON, Canada","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063498193","display_name":"Daniel Goldman","orcid":"https://orcid.org/0000-0002-8707-5536"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"D. Goldman","raw_affiliation_strings":["Department of Medical Biophysics, University of Western Ontario, London, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Medical Biophysics, University of Western Ontario, London, ON, Canada","institution_ids":["https://openalex.org/I125749732"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062172801"],"corresponding_institution_ids":["https://openalex.org/I125749732"],"apc_list":null,"apc_paid":null,"fwci":0.4125,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64032236,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"26","issue":null,"first_page":"2279","last_page":"2282"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11700","display_name":"Hemodynamic Monitoring and Therapy","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2746","display_name":"Surgery"},"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/T11700","display_name":"Hemodynamic Monitoring and Therapy","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2746","display_name":"Surgery"},"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/T10218","display_name":"Sepsis Diagnosis and Treatment","score":0.9840999841690063,"subfield":{"id":"https://openalex.org/subfields/2713","display_name":"Epidemiology"},"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/T11778","display_name":"Electrical and Bioimpedance Tomography","score":0.9690999984741211,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"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":0.5958749651908875},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5579518675804138},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.5285395979881287},{"id":"https://openalex.org/keywords/finite-difference-coefficient","display_name":"Finite difference coefficient","score":0.5247930884361267},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4439719021320343},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.4381101429462433},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3711816072463989},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3609887361526489},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.34882837533950806},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33395594358444214},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.27248165011405945},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.17551282048225403},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.14747312664985657},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.14132782816886902},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.06777676939964294}],"concepts":[{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.5958749651908875},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5579518675804138},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.5285395979881287},{"id":"https://openalex.org/C108268861","wikidata":"https://www.wikidata.org/wiki/Q1747602","display_name":"Finite difference coefficient","level":4,"score":0.5247930884361267},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4439719021320343},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.4381101429462433},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3711816072463989},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3609887361526489},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.34882837533950806},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33395594358444214},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27248165011405945},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.17551282048225403},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.14747312664985657},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.14132782816886902},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.06777676939964294},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003116","descriptor_name":"Color","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003116","descriptor_name":"Color","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003116","descriptor_name":"Color","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D010100","descriptor_name":"Oxygen","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D010100","descriptor_name":"Oxygen","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D010100","descriptor_name":"Oxygen","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D055585","descriptor_name":"Physical Phenomena","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D055585","descriptor_name":"Physical Phenomena","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D055585","descriptor_name":"Physical Phenomena","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1109/embc44109.2020.9175901","is_oa":false,"landing_page_url":"https://doi.org/10.1109/embc44109.2020.9175901","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 42nd Annual International Conference of the IEEE Engineering in Medicine &amp; Biology Society (EMBC)","raw_type":"proceedings-article"},{"id":"pmid:33018462","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33018462","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,"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":"Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1988557543","https://openalex.org/W2006282462","https://openalex.org/W2034604818","https://openalex.org/W2050765432","https://openalex.org/W2118816397","https://openalex.org/W2145146752","https://openalex.org/W2461051094"],"related_works":["https://openalex.org/W2330640442","https://openalex.org/W1965041963","https://openalex.org/W1544816068","https://openalex.org/W1517265138","https://openalex.org/W387124276","https://openalex.org/W2983915667","https://openalex.org/W2808572572","https://openalex.org/W1978642077","https://openalex.org/W2026463302","https://openalex.org/W2108592753"],"abstract_inverted_index":{"Simulations":[0],"that":[1,54],"are":[2,55,217],"meant":[3],"to":[4,24,39,92,109,168,186],"determine":[5],"the":[6,26,74,83,111,122,134,138,146,154,157,162,170,180,197,204,209],"steady-state":[7],"distribution":[8,97,115],"of":[9,52,133,156,193,206],"a":[10,33,69,117,213,232],"diffusible":[11],"solute":[12],"such":[13],"as":[14,73],"oxygen":[15,41,96,114],"in":[16,116,150,176,208,235],"tissues":[17],"have":[18],"typically":[19,56],"used":[20,126],"finite":[21,147,181],"difference":[22,30,148,182],"methods":[23,31,106],"solve":[25],"diffusion":[27],"equation.":[28],"Finite":[29],"require":[32],"tissue":[34,210],"mesh":[35,103,227],"with":[36,128,145,203],"enough":[37],"points":[38,53,207],"resolve":[40],"gradients":[42],"near":[43],"and":[44],"between":[45],"discrete":[46],"blood":[47],"vessels.":[48],"The":[49,86,191],"large":[50],"number":[51,192,205],"required":[57,136,195],"can":[58],"make":[59],"these":[60],"calculations":[61],"very":[62,219],"slow.":[63],"In":[64],"this":[65,229],"paper,":[66],"we":[67],"investigate":[68],"numerical":[70],"method":[71,77,89,165,230],"known":[72],"Green\u2019s":[75,87,123,163,198,222],"function":[76,88,124,164,199],"which":[78],"is":[79,90,184],"not":[80],"bound":[81],"by":[82,100],"same":[84],"constraint.":[85],"expected":[91,185],"yield":[93],"an":[94],"accurate":[95],"more":[98],"quickly":[99,220],"requiring":[101],"fewer":[102],"points.":[104],"Both":[105],"were":[107],"applied":[108],"calculate":[110,169],"steady":[112],"state":[113],"model":[118],"simulation":[119],"region.":[120],"When":[121,153],"calculation":[125,149,183,200],"meshes":[127,216],"1\u20442,":[129],"1\u20444":[130],"and,":[131],"1\u20448":[132],"resolution":[135],"for":[137,196,225],"finite-difference":[139],"mesh,":[140],"there":[141],"was":[142,159,166],"good":[143],"agreement":[144],"all":[151],"cases.":[152],"volume":[155],"domain":[158],"increased":[160],"8-fold":[161],"able":[167],"O":[171],"<inf":[172],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[173],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</inf>":[174],"field":[175],"22":[177],"minutes,":[178],"whereas":[179],"take":[187],"approximately":[188],"1":[189],"week.":[190],"steps":[194],"increases":[201],"quadratically":[202],"mesh.":[211],"As":[212],"result,":[214],"small":[215],"calculated":[218],"using":[221],"functions,":[223],"while":[224],"larger":[226],"sizes":[228],"experiences":[231],"significant":[233],"decrease":[234],"efficiency.":[236]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2026-05-16T08:24:45.110214","created_date":"2020-09-08T00:00:00"}