{"id":"https://openalex.org/W1971448433","doi":"https://doi.org/10.1109/bmei.2009.5305334","title":"Estimation of Temperature Distribution in Biological Tissue by Analytic Solutions of Pennes' Equation","display_name":"Estimation of Temperature Distribution in Biological Tissue by Analytic Solutions of Pennes' Equation","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1971448433","doi":"https://doi.org/10.1109/bmei.2009.5305334","mag":"1971448433"},"language":"en","primary_location":{"id":"doi:10.1109/bmei.2009.5305334","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bmei.2009.5305334","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/A5017334710","display_name":"Zhou Minhua","orcid":null},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Minhua Zhou","raw_affiliation_strings":["Sch. of Electron. Eng. & Optoelectron. Technol., Nanjing Univ. of Sci. & Technol., Nanjing, , China"],"affiliations":[{"raw_affiliation_string":"Sch. of Electron. Eng. & Optoelectron. Technol., Nanjing Univ. of Sci. & Technol., Nanjing, , China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101978037","display_name":"Qian Chen","orcid":"https://orcid.org/0000-0003-3388-0406"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qian Chen","raw_affiliation_strings":["Sch. of Electron. Eng. & Optoelectron. Technol., Nanjing Univ. of Sci. & Technol., Nanjing, , China"],"affiliations":[{"raw_affiliation_string":"Sch. of Electron. Eng. & Optoelectron. Technol., Nanjing Univ. of Sci. & Technol., Nanjing, , China","institution_ids":["https://openalex.org/I36399199"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017334710"],"corresponding_institution_ids":["https://openalex.org/I36399199"],"apc_list":null,"apc_paid":null,"fwci":0.2404,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.52561077,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9976999759674072,"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"}},"topics":[{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9976999759674072,"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12994","display_name":"Infrared Thermography in Medicine","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"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/distribution","display_name":"Distribution (mathematics)","score":0.5195901393890381},{"id":"https://openalex.org/keywords/biological-tissue","display_name":"Biological tissue","score":0.5033721327781677},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48514875769615173},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.4064183533191681},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.358389675617218},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35484015941619873},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33605629205703735},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3273521959781647},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2979710102081299},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.17514094710350037},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.12771472334861755}],"concepts":[{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5195901393890381},{"id":"https://openalex.org/C2983453321","wikidata":"https://www.wikidata.org/wiki/Q40397","display_name":"Biological tissue","level":2,"score":0.5033721327781677},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48514875769615173},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.4064183533191681},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.358389675617218},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35484015941619873},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33605629205703735},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3273521959781647},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2979710102081299},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.17514094710350037},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.12771472334861755}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/bmei.2009.5305334","is_oa":false,"landing_page_url":"https://doi.org/10.1109/bmei.2009.5305334","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1948181060","https://openalex.org/W2005653044","https://openalex.org/W2048083874","https://openalex.org/W2071394752","https://openalex.org/W2071673959","https://openalex.org/W2077870263","https://openalex.org/W2130007306","https://openalex.org/W2148435759","https://openalex.org/W2156012456","https://openalex.org/W4239526824","https://openalex.org/W6682395202"],"related_works":["https://openalex.org/W1986169665","https://openalex.org/W2483747691","https://openalex.org/W2967039319","https://openalex.org/W1979376602","https://openalex.org/W2029119259","https://openalex.org/W237227404","https://openalex.org/W2305552050","https://openalex.org/W2323028870","https://openalex.org/W2389591998","https://openalex.org/W2352649719"],"abstract_inverted_index":{"Based":[0],"on":[1],"the":[2,7,30,37,41,45,51,59,63,75,79,82,88,98,112],"Pennes'":[3,52],"bioheat":[4,24],"transfer":[5,25],"equation,":[6],"interior":[8,64,89],"temperature":[9,38,65,90,104],"distribution":[10,66,91],"of":[11,67,116],"biological":[12,117],"tissue":[13],"has":[14],"been":[15],"studied":[16],"in":[17],"this":[18],"paper.":[19],"The":[20,94],"one-dimensional":[21],"steady":[22],"state":[23],"equation":[26],"is":[27],"solved":[28],"and":[29,55,107,122],"analytic":[31,60,99],"solutions":[32,61,100],"are":[33,71,92,101],"deduced":[34],"to":[35,86,111],"obtain":[36],"changes":[39],"with":[40,50,74],"depth":[42],"variation":[43],"under":[44],"different":[46],"boundary":[47,84],"conditions.":[48],"Combined":[49],"experiment":[53],"data":[54],"Wissler's":[56],"research":[57,115],"results,":[58,81],"calculate":[62,87],"human":[68],"forearm":[69],"which":[70],"well":[72],"consistent":[73],"known":[76],"conclusion.":[77],"From":[78],"calculation":[80],"optimal":[83],"conditions":[85],"obtained.":[93],"results":[95],"show":[96],"that":[97],"valuable":[102],"for":[103],"field":[105],"reconstruction,":[106],"can":[108],"be":[109],"extended":[110],"thermal":[113,119],"behavior":[114],"system,":[118],"parameters":[120],"measurement,":[121],"clinical":[123],"therapy.":[124]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
