Journal of Theoretical
and Applied Mechanics

40, 1, pp. 101-112, Warsaw 2002

Analysis of thermal processes occuring in tissue with a tumor region using BEM

Ewa Majchrzak, Bohdan Mochnacki
In the paper a numerical algorithm based on the boundary element method is used for temperature field computations in the non-homogeneous domain being a composition of healthy tissue and a tumor region. Thermophysical parameters of subdomains, in particular the perfusion coefficients and metabolic heat sources are different. From the mathematical point of view the problem is described by a system of two Poisson's equations with temperature-dependent source functions. These equations are supplemented by adequate boundary conditions. The discussed algorithm allows one to determine the temperature distribution on the surface of the skin. In this way it is possible to analyse the dependence between the geometrical features of the tumor region and the external thermal effects. The results can be useful as the information for noninvasive diagnostics. In the final part of the paper examples of computations are shown.
Keywords: bio-heat transfer; boundary element method