دانش‌رسان - مقاله‌های ehsan Firuzfar
ehsan Firuzfar
مقاله‌های ehsan Firuzfar
۱Mathematical models of phenomena bioheat transfer in biological tissues
نویسنده(ها): Maedeh nouri، ehsan Firuzfar، Ali Arasteh nodeh، Mohammad Firuzmand
Heat transfer in living tissues is a complicated process because it involves a combination ofthermal conduction in tissues, convection and perfusion of blood, and metabolic heat production.Over the years, several mathematical models have been developed to describe heat transferwithin living biological tissues. In this article bioheat transfer and the mathematical models forevaluating the heat transfer within biological tissues are presented. Firstly, concept and history ofbioheat transfer, the structure of living tissues with blood perfusion are explained and then on themathematical models of heat transfer in living tissues are focused. A brief description of some ofthe most important bioheat models (i.e. Pennes (1948) model, Wulff (1974) model, Klinger(1974) model, Chen and Holmes (1980) model and so on) is presented. The most widely usedbioheat model was introduced by Pennes. Pennes proposed a new simplified bioheat model todescribe the effect of blood perfusion and metabolic heat generation on heat transfer within aliving tissue. The volume averaging theory (VAT) established in the field of fluid–saturatedporous media has been successfully exploited to derive a general set of bioheat transfer equationsfor blood flows and its surrounding biological tissue. A closed set of macroscopic governingequations for both velocity and temperature fields in intra– and extra vascular phases has beenestablished, for the first time, using the theory of anisotropic porous media. Two individualmacroscopic energy equations are derived for the blood flow and its surrounding tissue under thethermal non–equilibrium condition as named two– energy equation model and three– energyequation model. The two–energy equation model has been extended to the three–energy equationversion, in order to account for the countercurrent heat transfer between closely spaced arteriesand veins in the circulatory system and its effect on the peripheral heat transfer.<\div>
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