Análise numérica de modelos térmicos envolvendo a estimativa de parâmetros na equação da biotransferência de calor

Abstract

The aim of this work is the analysis of heat transfer process in living tissues and contribute to the early diagnosis of breast cancer by analyzing the surface temperature of the breast. Here is presented the development of biothermic models and techniques to obtain physical parameters present in Pennes\'s equation. Initially the 1D-transient analytical solution is obtained using Green\'s function, and numerical solutions using nite volume method and commercial software COMSOL Multiphysics c for 1D, 2D and 3D transient and 2D - steady-state case. The parameters dynamic behavior of blood perfusion and metabolism present in the Pennes\'s equation is presented. It is also proposed the use of inverse problem techniques to estimate the metabolism heat generation. In this sense, sequential specied function and the transfer function method based on Green\'s functions are used. Metabolic generations simulates the normal and abnormal behavior of tumors. The validity of the solutions are presented as well as the analysis of the eect of blood perfusion and metabolism in bioheat transfer. The results of the inverse problem using the technique of sequential specied function with the correlation study were satistactory for estimate the localization and magnitude of the metabolic heat generation of tumor, becoming the technique with potential in cases experimental in vitro and in vivo.