Lakhssassi, A., Kengne, E. and Semmaoui H. (2010) Investigation of nonlinear temperature distribution in biological tissues by using bioheat transfer equation of Pennes’type. Journal of Natural Sciences, 2, 131-138.

has been cited by the following article:

• TITLE: Modifed pennes' equation modelling bio-heat transfer in living tissues: analytical and numerical analysis

  AUTHORS: Ahmed Lakhssassi, Emmanuel Kengne, Hicham Semmaoui

  KEYWORDS: Bio-Heat Transfer Equation;Pennes' Modified Equation; Weierstrass' Functions; Jacobi Elliptic Functions

  JOURNAL NAME: Natural Science, Vol.2 No.12, December 28, 2010

  ABSTRACT: Based on modified version of the Pennes' bio-heat transfer equation, a simplified one- dimensional bio-heat transfer model of the living tissues in the steady state has been applied on whole body heat transfer studies, and by using the Weierstrass' elliptic function, its corresponding analytic periodic and non-periodic solutions have been derived in this paper. Using the obtained analytic solutions, the effects of the thermal diffusivity, the temperature-inde- pendent perfusion component, and the temperature-dependent perfusion component in living tissues are analyzed numerically. The results show that the derived analytic solution is useful to easily and accurately study the thermal behavior of the biological system, and can be extended to applications such as parameter measurement, temperature field reconstruction and clinical treatment.