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

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.

Automated summary

In this work, numerical estimations for a nonlinear hyperbolic bioheat equation were constructed for medicinal treatments of tumor cells. The study considered the experimental temperature-dependent functions of heating source components in the model. The finite element method was used to solve the nonlinear problem, and parametric analysis was conducted to enhance the accuracy of thermal power in hyperthermia treatments.