TITLE:
Investigation of nonlinear temperature distribution in biological tissues by using bioheat transfer equation of Pennes’ type
AUTHORS:
Ahmed Lakhssassi, Emmanuel Kengne, Hicham Semmaoui
KEYWORDS:
Bioheat Transfer Equation of Pennes Type; Pennes’ Bioheat Transfer Equation; Modified Crank-Nicholson Method; Two-Level Finite Difference Scheme
JOURNAL NAME:
Natural Science,
Vol.2 No.3,
April
12,
2010
ABSTRACT: In this paper, a two level finite difference scheme of Crank-Nicholson type is constructed and used to numerically investigate nonlinear temperature distribution in biological tissues described by bioheat transfer equation of Pennes’ type. For the equation under consideration, the thermal conductivity is either depth-dependent or tem-perature-dependent, while blood perfusion is temperature-dependent. In both cases of depth- dependent and temperature-dependent thermal conductivity, it is shown that blood perfusion decreases the temperature of the living tissue. Our numerical simulations show that neither the localization nor the magnitude of peak tempera-ture is affected by surface temperature; however, the width of peak temperature increases with surface temperature.