Abstract
� Societa Italiana di Fisica / Springer-Verlag 2015 Abstract. 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 tis- sues. 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 fre- quency 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.
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