{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,9]],"date-time":"2026-09-09T23:18:21Z","timestamp":1788995901160,"version":"build-2803163510"},"reference-count":83,"publisher":"Public Library of Science (PLoS)","issue":"5","license":[{"start":{"date-parts":[[2024,5,16]],"date-time":"2024-05-16T00:00:00Z","timestamp":1715817600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["www.plosone.org"],"crossmark-restriction":false},"short-container-title":["PLoS ONE"],"abstract":"<jats:p>The study of thermal therapy to tumors and the response of living cells to this therapy used to treat tumor is very important due to the complexity of heat transfer in biological tissues. In the past few years, there has been a growing interest among clinicians, mathematicians, and engineers regarding the use of computational and mathematical methods to simulate biological systems. Numerous medical proceedings also employ mathematical modeling and engineering techniques as a means to guarantee their safety and evaluate the associated risks effectively. This manuscript provides an analytical solution used for the first time to study the mechanism of biological thermal response during heat therapy on spheroidal skin tumor. The proposed method used a generalized thermoelasticity model with one relaxation time. The influence of relaxation times on the responses of diseased and healthy tissues is studied and interpreted graphically. Also, the impact of different laser irradiance on the thermal profile of the malignant tumor cells over a period of 2 minutes is interpreted graphically. To investigate the transfer of heat within biological tissues during the thermal therapy, the Laplace transform and inverse Laplace transform methods were applied. A comparison of the present generalized thermoelasticity model and different models based on Pennes bioheat transfer PBT shows that our proposed model yields more realistic and accurate predictions. The current model can be used to explain various therapeutic methods.<\/jats:p>","DOI":"10.1371\/journal.pone.0298256","type":"journal-article","created":{"date-parts":[[2024,5,16]],"date-time":"2024-05-16T13:47:31Z","timestamp":1715867251000},"page":"e0298256","update-policy":"https:\/\/doi.org\/10.1371\/journal.pone.corrections_policy","source":"Crossref","is-referenced-by-count":19,"title":["Mathematical modeling of heat transfer in tissues with skin tumor during thermotherapy"],"prefix":"10.1371","volume":"19","author":[{"given":"Hany H.","family":"Sherief","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mohamed F.","family":"Zaky","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mohamed F.","family":"Abbas","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5655-2451","authenticated-orcid":true,"given":"Samar A.","family":"Mahrous","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"340","published-online":{"date-parts":[[2024,5,16]]},"reference":[{"key":"pone.0298256.ref001","doi-asserted-by":"crossref","DOI":"10.2174\/1573394713666170531081818","article-title":"Cancer and treatment modalities","volume":"13","author":"E Hosseinzadeh","year":"2017","journal-title":"Current Cancer Therapy Reviews"},{"issue":"2","key":"pone.0298256.ref002","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/j.als.2016.11.004","article-title":"Hyperthermia: role and risk factor for cancer treatment","volume":"10","author":"S Jha","year":"2016","journal-title":"Achievements in the Life Sciences"},{"key":"pone.0298256.ref003","article-title":"Recent advances in thermoregulation","author":"EA Tansey","year":"2015","journal-title":"Advances in Physiology Education"},{"key":"pone.0298256.ref004","doi-asserted-by":"crossref","first-page":"110873","DOI":"10.1016\/j.apradiso.2023.110873","article-title":"Evaluating the applications and effectiveness of magnetic nanoparticle-based hyperthermia for cancer treatment: A systematic review","volume":"198","author":"Z Farzanegan","year":"2023","journal-title":"Applied Radiation and Isotopes"},{"key":"pone.0298256.ref005","doi-asserted-by":"crossref","first-page":"4587","DOI":"10.1002\/cncr.32505","article-title":"Hyperthermic intraperitoneal chemotherapy for ovarian cancer: the heat is on","volume":"125","author":"SN Koole","year":"2019","journal-title":"Cancer"},{"issue":"6","key":"pone.0298256.ref006","volume":"13","author":"J Crezee","year":"2021","journal-title":"Hyperthermia-Based Anti-Cancer Treatments"},{"key":"pone.0298256.ref007","doi-asserted-by":"crossref","first-page":"1534735419876345","DOI":"10.1177\/1534735419876345","article-title":"The role of hyperthermia in the multidisciplinary treatment of malignant tumors","volume":"18","author":"Y Cheng","year":"2019","journal-title":"Integrative Cancer Therapies"},{"issue":"8109","key":"pone.0298256.ref008","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1016\/S0140-6736(79)90594-4","article-title":"Hyperthermia in the Treatment of Cancer","volume":"313","author":"JA Dickson","year":"1979","journal-title":"The Lancet"},{"issue":"1","key":"pone.0298256.ref009","doi-asserted-by":"crossref","first-page":"374","DOI":"10.1016\/0304-8853(93)91113-L","article-title":"Synthesis and evaluation of colloidal magnetic iron oxides for the site-specific radiofrequency-induced hyperthermia of cancer","volume":"122","author":"D C.F. 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