Application of the Fuzzy Finite Pointset Method to the Numerical Modeling of Tissue Laser Irradiation

In the presented paper the numerical analysis of thermal process occurring in biological tissue with uncertain parameters during repetitive heating and cooling is presented. The mathematical model is based on the Pennes equation where fuzzy heat sources are introduced. Model is assumed to be one-dimensional and analysed tissue is exposed to the interval laser irradiation. The internal heat source resulting from laser irradiation based on the Beer law is taken into account. Moreover, perfusion rate and the effective scattering coefficient are treated as fuzzy variables and dependent on tissue damage. For numerical calculations the fuzzy version of the Finite Pointset Method has been proposed. All calculations are performed due to the fuzzy arithmetic rules with the application of alpha-cuts. In the end of the paper numerical examples and conclusions are presented.