Resumen de Numerical solution of DPL heat transfer model in multi-layer biological skin tissue of the living body during hyperthermia treatment
Tejaswini Kumari, Dinesh Kumar, K. N. Rai, S.K. Singh
The procedure in which a spatial heat source is subjected to tumor position to destroy the tumor cells without affecting the neighboring healthy tissues is known as hyperthermia treatment. During this process, accurate prediction and control of temperature is very important for the successful hyperthermia treatment. In this paper, we considered a mathematical heat transfer model in multi-layer skin tissue in the bounded domain in order to predict the temperature profile at the tumor position during the treatment. A multi-layer skin tissue consisting of three different layers known as epidermis, dermis, subcutaneous layer is presented in the following study. The Dual-phase-lag model of bio-heat transfer in multi-layer skin tissue is combined with Gaussian (Normal) distribution heat source term during the hyperthermia treatment under the general boundary conditions.
The finite element scheme of Runge-Kutta (4, 5) has been used to solve the DPL (dual-phase-lag) heat transfer model. Effect of different parameters like water diffusion, water vaporization, blood perfusion, heat source due to metabolism, external heat source term, time lag due to heat flux, time lag due to temperature gradient, and different kind of boundary conditions in multi-layer skin tissue during hyperthermia treatment are discussed in detail and the results are presented graphically. The study concludes with the discussion of a better approach to treat the tumor cells during the hyperthermia treatment in such a way that no harm caused to the neighboring healthy tissues making this study significant for future clinical applications
