The Effects of Fractional Derivatives of Bio-Heat Model in Living Tissues using Analytical-Numerical Method

Authors

Aboelnour Abdalla, Mathematics Department, Faculty of Science, Sohag University, Sohag, EgyptFollow
Ibrahim Abbas, Mathematics Department, Faculty of Science, Sohag University, Sohag, EgyptFollow
Hussien Sapoor, Mathematics Department, Faculty of Science, Sohag University, Sohag, EgyptFollow

Abstract

In this article, the fractional order bioheat model of heat transfer is used to offer a new interpretation to investigate the thermal damage in living tissues under laser irradiations. The effects of thermal relaxation time and the fractional order parameter on the temperature of living tissues and the thermal damages are studied. The basic equation is formulated in the domain of Laplace transform to get the analytical solution. The numerical solution is obtained by using the implicit finite difference method (IFDM). The efficiency and accuracy of this method have been verified using numerical example. Considering the thermophysical properties of living tissue, the effects of fractional time parameter and the thermal relaxation time on the temperature distributions in living tissues were analyzed and presented graphically.

Recommended Citation

Abdalla, Aboelnour; Abbas, Ibrahim; and Sapoor, Hussien (2022) "The Effects of Fractional Derivatives of Bio-Heat Model in Living Tissues using Analytical-Numerical Method," Information Sciences Letters: Vol. 11 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol11/iss1/6