ABSTRACT

The evolution of thermal response in the biological tissue is very important to the effective medical treatment processes. The purpose of this work is to seek an analytical method to solve the transient bio-heat transfer problem. The governing equations with the pulse boundary heat flux on skin tissue are first proposed in the context of the dual-phase-lag model (DPL model). An analytical procedure, based on Laplace transform technique and its limit theorem, is then introduced to solve these equations analytically. The exact solution of the temperature distribution is finally obtained and is used to reveal the temporal and spatial effects on the transient heat transfer through skin tissues. The thermal damage is further studied and some evaluation is also conducted by comparing with the results from the classical Pennes model of bio-heat transfer (PMBHT).

摘要

生物组织中热响应的演变对于有效的医疗过程非常重要。这项工作的目的是寻求一种分析方法来解决瞬态生物传热问题。皮肤组织上具有脉冲边界热通量的控制方程首先在双相滞后模型（DPL模型）的背景下提出。然后引入基于拉普拉斯变换技术及其极限定理的解析程序来解析求解这些方程。最终获得温度分布的精确解，并用于揭示对通过皮肤组织的瞬态热传递的时间和空间影响。