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has been cited by the following article:

• 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.