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Investigation of nonlinear temperature distribution in biological tissues by using bioheat transfer equation of Pennes’ type

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DOI: 10.4236/ns.2010.23022    4,865 Downloads   10,071 Views   Citations


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.

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The authors declare no conflicts of interest.

Cite this paper

Lakhssassi, A. , Kengne, E. and Semmaoui, H. (2010) Investigation of nonlinear temperature distribution in biological tissues by using bioheat transfer equation of Pennes’ type. Natural Science, 2, 131-138. doi: 10.4236/ns.2010.23022.


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