A Comparative Study of Steady-State Bioheat Transfer Equations in Cylindrical Living Tissue: Analytical and FDM Solutions

Abstract

The study of heat transmission in living human tissue is extremely complicated. The tissue temperature distribution in one- dimensional cylindrical living tissue is investigated based on the Pennes bioheat transfer model. Pennes' biothermal heat transfer model is based on the assumptions of constant thermal conductivity, uniform heat generation rate, and insulated cylindrical surfaces. The analytical solution of the model equation will be a complex process and can be difficult to achieve. The numerical method implemented for model equations is the Finite Difference Method (FDM), which provides a faster and more efficient way to solve model equations. The effects of perfusion rate (wb) and metabolic thermogenesis (qm) are discussed using appropriate parameter values. The graph results show that the numerical approximation technique used is reliable and valid to analyze the effect of wb and qm. Moreover, it is a powerful tool that can be applied to solve problems of different sizes. Furthermore, the comparison between numerical and analytical results confirms the accuracy of the technique.