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

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DOI: 10.4236/ns.2010.212168    7,856 Downloads   17,374 Views   Citations


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.

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The authors declare no conflicts of interest.

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Lakhssassi, A. , Kengne, E. and Semmaoui, H. (2010) Modifed pennes' equation modelling bio-heat transfer in living tissues: analytical and numerical analysis. Natural Science, 2, 1375-1385. doi: 10.4236/ns.2010.212168.


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