Monte Carlo Method & multidimensional bioheat transfer problem

The Monte Carlo method is implemented to solve the direct bioheat transfer problems,
which are often encountered in the treatment planning of cancer hyperthermia. Several
algorithms were developed to solve for the temperature transients inside the biological bodies with various time or space-dependent boundary conditions, blood perfusion, metabolic rate, and volumetric heat source for the tissues. The computer code thus compiled was validated through comparison with a theoretical solution. To illustrate the applications of the present numerical strategy, heat transfer in several three-dimensional cases was particularly studied. Parametric calculations were performed to test the technical adaptability of the present Monte Carlo algorithms. Some mathematical issues thus raised are discussed.