ANALYTICAL SOLUTION OF HYPERBOLIC BIOHEAT EQUATION IN SPHERICAL COORDINATES APPLIED IN RADIOFREQUENCY HEATING

Abstract

This paper presents an analytical solution for the hyperbolic bioheat equation in spherical coordinates under nonuniform distributed heat source term, which is theoretically modeling the Radiofrequency Heating (RFH) technique. In RFH technique a spherical electrode is inserted into the diseased tissue which leads to the heat generation there due to the imposed electromagnetic field. Because of the non-Fourier behavior of biological tissues, the hyperbolic Penne’s equation is adopted as perfused thermal model. The equation has been solved using Eigenvalue method and the closed form solutions are introduced. The temperature profiles are determined for a sample RFH procedure in cornea and liver and the effect of perfusion term in Penne’s bioheat equation is shown. The effective parameters in the RFH process such as electrode radius, power and different material are studied analytically too. The derived solution can play a role of verification basis of other numerical ones in this area.