Abstract

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.

摘要

将空间热源置于肿瘤位置以破坏肿瘤细胞而不影响邻近健康组织的过程称为热疗。在此过程中，准确预测和控制温度对于热疗的成功至关重要。在本文中，我们考虑了有界域中多层皮肤组织中的数学热传递模型，以预测治疗期间肿瘤位置的温度分布。以下研究介绍了由三个不同层组成的多层皮肤组织，即表皮、真皮、皮下层。多层皮肤组织生物热传递的双相滞后模型在一般边界条件下的热疗过程中与高斯（正态）分布热源项相结合。Runge-Kutta (4, 5) 的有限元方案已用于求解 DPL（双相滞后）传热模型。不同参数的影响，如水扩散、水汽化、血液灌注、新陈代谢热源、外部热源项、热通量引起的时间滞后、温度梯度引起的时间滞后以及多层皮肤中不同类型的边界条件详细讨论了高温治疗期间的组织，并以图形方式显示了结果。