Bio-heat response of skin tissue based on three-phase-lag model

Qiao Zhang,Yuxin Sun,Jialing Yang

doi:10.1038/s41598-020-73590-3

Abstract

In this article, the thermal response of skin tissue is investigated based on three-phase-lag (TPL) model of heat conduction. The governing equation of bio-heat conduction is established by introducing both the TPL model of heat conduction and a modified energy conservation equation. The analytical solution is obtained by adopting the method of separation of variables and a parametric study on temperature responses in TPL model is carried out. It is shown that the TPL model can predict both the diffusion and wave characteristics of bio-heat conduction. Increasing the phase-lag of thermal displacement gradient would result in the rise of thermal propagation speed and decrease the temperature in affected zone. The perfusion rate of arterial blood has no obvious effect on thermal propagation velocity and thermal propagation lagging. Increasing of the rate of blood perfusion contributes to decreasing the temperature of steady state.

Highlights

In this article, the thermal response of skin tissue is investigated based on three-phase-lag (TPL) model of heat conduction
It is necessary to mention that τv is assumed as 2 s based on the stable request of solution[18] and relative size of numerical value between the phase lags of heat flux, temperature gradient and thermal displacement gradient[14,22,24]
The thermal response behavior in a one-dimensional skin tissue model which is subjected to surface heating and heat source of laser irradiance is investigated based on the TPL bio-heat conduction model

Summary

Introduction

The thermal response of skin tissue is investigated based on three-phase-lag (TPL) model of heat conduction. The first model of bio-heat transfer in biological tissue was presented by Pennes, which is based on the Fourier’s law, q ( r, t) = −k∇T( r, t) where q(r, t) is heat flux vector, T is absolute temperature, k is thermal conductivity, r is the location vector and t represents time. Lin and L i9 obtained the analytical solutions of bio-heat transfer for skin tissue with general boundary conditions in the Pennes, C-V and DPL models by using separation variable method.

Results

Conclusion