Institute of Solid Mechanics, School of Aeronautic Science and Engineering, Beihang University, Beijing, 100191, People's Republic of China.
Sci Rep. 2020 Oct 2;10(1):16421. doi: 10.1038/s41598-020-73590-3.
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.
本文基于热传导的三相滞后(TPL)模型研究了皮肤组织的热响应。通过引入热传导的 TPL 模型和改进的能量守恒方程,建立了生物热传导的控制方程。采用变量分离法得到了分析解,并对 TPL 模型中的温度响应进行了参数研究。结果表明,TPL 模型可以预测生物热传导的扩散和波动特性。增加热位移梯度的相位滞后会导致热传播速度的提高和受影响区域温度的降低。动脉血流的灌注率对热传播速度和热传播滞后没有明显影响。增加血流灌注速率有助于降低稳态温度。