Abstract

Based on the non-linear dual phase lag model, the present investigation treats with mathematical models of bioheat transfer to study the transient phenomena in a spherical tissue due to the effect of laser heat source. Caused by the nonlinear basic equations, the finite element method is adopted to get the solutions of this problem. To verify the accuracy of the numerical solutions, the numerical results obtained by the finite element method are compared with the experimental data. Also, the comparison between the experimental results and the numerical results display that the existing mathematical model is efficacious tool to estimate the bio-heat model in the spherical biological tissues.

摘要

本研究基于非线性双相滞后模型，采用生物传热的数学模型来研究由于激光热源效应在球形组织中的瞬态现象。由非线性基本方程引起，采用有限元法求解该问题。为了验证数值解的准确性，将有限元法得到的数值结果与实验数据进行了比较。此外，实验结果与数值结果的比较表明，现有的数学模型是估计球形生物组织中的生物热模型的有效工具。