Numerical Analysis of Bio-Heat Transfer in a Spherical Tissue

Abstract

This study use the Pennes bioheat equation in spherical co-ordinates to describe the heat transport occurring in biological tissues during magnetic tumor hyperthermai. A hybrid numberical scheme based on the Laplace transform, change of variables and the modified discretization technique in conjuncation with the hyperbolic shape functions is proposed for solving the present problem. The effects of blood perfusion, metabolism and the difference of thermophysical properties between the diseased and health tissues are explored. The accuracy of the numerical results is evidenced by comparing with the results in the literature. The metabolic heat generation rate and the blood perfusion rate practically affect the temperature rise behavior in vivo during hyperthermia treatment.