Zhou Jianhua, Chen J K, Zhang Yuwen
Department of Mechanical and Aerospace Engineering, University of Missouri-Columbia, Columbia, MO 65211, USA.
Comput Biol Med. 2009 Mar;39(3):286-93. doi: 10.1016/j.compbiomed.2009.01.002. Epub 2009 Feb 12.
A dual-phase lag (DPL) bioheat conduction model, together with the broad beam irradiation method and the rate process equation, is proposed to investigate thermal damage in laser-irradiated biological tissues. It is shown that the DPL bioheat conduction model could predict significantly different temperature and thermal damage in tissues from the hyperbolic thermal wave and Fourier's heat conduction models. It is also found that the DPL bioheat conduction equations can be reduced to the Fourier heat conduction equations only if both phase lag times of the temperature gradient (tau(T)) and the heat flux (tau(q)) are zero. This is different from the DPL model for pure conduction materials, for which it can be reduced to the Fourier's heat conduction model provided that tau(q)=tau(T). Effects of laser parameters and blood perfusion on the thermal damage simulated in tissues are also studied. The result shows that the overall effects of the blood flow on the thermal response and damage are similar to those of the time delay tau(T).
提出了一种双相滞后（DPL）生物热传导模型，并结合宽光束辐照方法和速率过程方程，用于研究激光辐照生物组织中的热损伤。结果表明，DPL生物热传导模型能够预测出与双曲热波模型和傅里叶热传导模型显著不同的组织温度和热损伤。还发现，只有当温度梯度的两个相滞时间（τ(T)）和热流的相滞时间（τ(q)）都为零时，DPL生物热传导方程才能简化为傅里叶热传导方程。这与纯传导材料的DPL模型不同，对于纯传导材料，只要τ(q)=τ(T)，就可以简化为傅里叶热传导模型。还研究了激光参数和血液灌注对组织模拟热损伤的影响。结果表明，血流对热响应和损伤的总体影响与时间延迟τ(T)的影响相似。
