Lee Haw-Long, Chen Wen-Lih, Chang Win-Jin, Yang Yu-Ching
a Department of Mechanical Engineering , Clean Energy Center, Kun Shan University , No. 195, Kun-Da Rd, Yung-Kang Dist, Tainan 710-03 , Taiwan, Republic of China.
Comput Methods Biomech Biomed Engin. 2015;18(14):1525-34. doi: 10.1080/10255842.2014.925108. Epub 2014 Jun 19.
In this study, an inverse algorithm based on the conjugate gradient method and the discrepancy principle is applied to solve the inverse hyperbolic heat conduction problem in estimating the unknown time-dependent surface heat flux in a skin tissue, which is stratified into epidermis, dermis, and subcutaneous layers, from the temperature measurements taken within the medium. Subsequently, the temperature distributions in the tissue can be calculated as well. The concept of finite heat propagation velocity is applied to the modeling of the bioheat transfer problem. The inverse solutions will be justified based on the numerical experiments in which two different heat flux distributions are to be determined. The temperature data obtained from the direct problem are used to simulate the temperature measurements. The influence of measurement errors on the precision of the estimated results is also investigated. Results show that an excellent estimation on the time-dependent surface heat flux can be obtained for the test cases considered in this study.
在本研究中，一种基于共轭梯度法和偏差原理的反演算法被应用于求解反演双曲热传导问题，该问题旨在根据在介质内部所进行的温度测量来估计皮肤组织（分为表皮、真皮和皮下层）中未知的随时间变化的表面热通量。随后，也可以计算出组织中的温度分布。有限热传播速度的概念被应用于生物热传递问题的建模。将基于数值实验来验证反演解，在这些实验中要确定两种不同的热通量分布。从正问题获得的温度数据被用于模拟温度测量。还研究了测量误差对估计结果精度的影响。结果表明，对于本研究中所考虑的测试案例，可以获得对随时间变化的表面热通量的出色估计。
