Analytico-numerical study of bio-heat transfer problems with temperature-dependent perfusion

摘要

We consider the one-dimensional bio-heat transfer problems with linear temperature-dependent blood perfusion and spatially distributed heating which describe heat transport in blood perfused tissues. Analytical methods for solving nonlinear partial differential equations are combined with the Crank-Nicholson scheme to study several selected typical bio-heat transfer processes, which are often encountered in cancer hyperthermia, laser surgery, and thermal comfort analysis. The results mainly show that: i) the larger heating power increases the amplitude of the temperature response of the tissues; ii) a very low frequency of the heating power can be associated to a large frequency of the surrounding medium temperature to make irregular the frequency of the resulted temperature response.