The Noninvasive 3-D Reconstruction of Inner Heat Source and Temperature Field for Biological Body by Monte Carlo Method

Abstract

Three-dimensional thermal diagnosis has become a potential assistant diagnosis method in medical field. But the reconstruction of 3-D heat source is very complicated. In the paper, 3-D heat distribution and temperature field for organisms can be reconstructed just from the surface temperature data by solving Pennes bio-heat equation with the Monte Carlo method. Concretely, the inverse problem of heat conduction can be solved with the Markov chain Monte Carlo method based on Hierarchical Bayesian Models, and 3-D heat source and temperature field can be reconstructed with the Monte Carlo method of fixed random walk.