Abstract
We have used a nonlinear one-dimensional heat transfer model based on temperature-dependent blood perfusion to predict temperature distribution in dermis and subcutaneous tissues subjected to point heating sources. By using Jacobi elliptic functions, we have first found the analytic solution corresponding to the steady-state temperature distribution in the tissue. With the obtained analytic steady-state temperature, the effects of the thermal conductivity, the blood perfusion, the metabolic heat generation, and the coefficient of heat transfer on the temperature distribution in living tissues are numerically analyzed. Our results show that the derived analytic steady-state temperature is useful to easily and accurately study the thermal behavior of the biological system, and can be extended to such applications as parameter measurement, temperature field reconstruction and clinical treatment.
Highlights
The purpose of this work is to use Jacobian elliptic functions to construct a nonlinear heat transfer model in dermis and subcutaneous tissues
The aim of this paper is to investigate via Equation (1) with blood perfusion (2) the temperature distribution in dermis and subcutaneous tissues in the hypothermia case when both skin surface and spatial heating are used
The temperature distribution in dermis and subcutaneous tissues is numerically investigated in the hypothermia situation
Summary
The purpose of this work is to use Jacobian elliptic functions to construct a nonlinear heat transfer model in dermis and subcutaneous tissues. To predict the temperature in these two biological living tissues, we use a Pennes type of bio-heat transfer equation with a temperaturedependent blood perfusion term. In the present work we use a Pennes type model of bio-heat transfer equation to numerically investigate temperature distribution in dermis and subcutaneous tissues; here, we include in Pennes equation a temperature-dependent blood perfusion term and maintain a constant metabolic heat generation term. The aim of this paper is to investigate via Equation (1) with blood perfusion (2) the temperature distribution in dermis and subcutaneous tissues in the hypothermia case when both skin surface and spatial heating are used. No author has applied Jacobi elliptic functions to analytically solve the steady-state problem of bioheat transfer equation with temperature-dependent blood perfusion. Using the boundary condition (4), we find that cst h02
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