Eur. Phys. J. Plus (2015) 130: 89
https://doi.org/10.1140/epjp/i2015-15089-1

Regular Article

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

Département d’informatique et d’ingénierie, Université du Québec en Outaouais, 101 St-Jean-Bosco, Succursale Hull, J8Y 3G5, Gatineau, PQ, Canada

^* e-mail: kengem01@uqo.ca

Received: 21 April 2014
Revised: 24 February 2015
Accepted: 1 April 2015
Published online: 8 May 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 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.