Finite element analyses of nonlinear DPL bioheat model in spherical tissues using experimental data

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.

Automated summary

This study investigates the transient phenomena in a spherical tissue caused by a laser heat source using mathematical models based on the non-linear dual phase lag model. The finite element method is adopted to obtain the solutions of this problem due to the nonlinearity of the basic equations. The numerical results obtained by the finite element method are compared with experimental data to verify their accuracy, and the comparison demonstrates the effectiveness of the existing mathematical model in estimating the bio-heat model in spherical biological tissues.