Abstract This paper provides a method for determining a numerical solution of the thermal damage of living tissues using a nonlinear dual phase lag model. Due to the nonlinearity of the basic equations, the finite element approach is adopted to solve such problems. The numerical outcomes obtained by the finite element technique are also compared with the existing experimental study to verify the accuracy of the numerical calculations. Based on the formulation of Arrhenius, the thermal damages to the tissues are estimated by the denatured protein range. Numerical results for temperatures are presented graphically. Also, the comparisons between the numerical outcomes and the existing experimental data show that the present mathematical models are effective tools to evaluate the bioheat transfer in a spherical living tissue.

中文翻译：

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激光辐照引起活体组织双相滞后生物热模型的非线性分析

摘要 本文提供了一种利用非线性双相位滞后模型确定活体组织热损伤数值解的方法。由于基本方程的非线性，采用有限元方法解决此类问题。有限元技术获得的数值结果也与现有的实验研究进行了比较，以验证数值计算的准确性。根据 Arrhenius 的配方，对组织的热损伤是通过变性蛋白质范围来估计的。温度的数值结果以图形方式呈现。此外，数值结果与现有实验数据之间的比较表明，目前的数学模型是评估球形活组织中生物传热的有效工具。