Finite Element Analysis of Nonlinear Bioheat Model in Skin Tissue Due to External Thermal Sources

Marin Marin, Aatef Hobiny and Ibrahim Abbas
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Marin Marin: Department of Mathematics and Computer Science, Transilvania University of Brasov, 500093 Brasov, Romania
Aatef Hobiny: Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 21521, Saudi Arabia
Ibrahim Abbas: Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 21521, Saudi Arabia

Mathematics, 2021, vol. 9, issue 13, 1-9

Abstract: In this work, numerical estimations of a nonlinear hyperbolic bioheat equation under various boundary conditions for medicinal treatments of tumor cells are constructed. The heating source components in a nonlinear hyperbolic bioheat transfer model, such as the rate of blood perfusions and the metabolic heating generations, are considered experimentally temperature-dependent functions. Due to the nonlinearity of the governing relations, the finite element method is adopted to solve such a problem. The results for temperature are presented graphically. Parametric analysis is then performed to identify an appropriate procedure to select significant design variables in order to yield further accuracy to achieve efficient thermal power in hyperthermia treatments.

Keywords: biological tissue; thermal damage; bioheat transfer; finite element method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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