摘要：The paper is dedicated to mathematical problem formulations for the heat propagation in biological tissuesbased on the Fourier and non-Fourier laws at different boundary conditions. The heating of the tissues is provided byexternal heat sources like low intensity lasers or light-emitting diodes which are widely used in contemporary medicalcare. Numerical computations on the standard Pennes bioheat equation with Fourier heat conduction give thetemperature curves for both heating and thermal relaxation processes that do not correspond to the in vivomeasurement data on human skin tissue. It is shown the modified bioheat equation based on the Guyer-Krumhanslheat conduction with correct formulation of the boundary conditions produces realistic temperature curves when thedistributed heat sources and sinks in the tissue are accounted for. The former corresponds to the metabolic heat andtemperature dependent chemical reactions, while the latter is provided by the heat convection with bloodmicrocirculation system. The proposed model gives realistic two time temperature curves. The perspectiveapplications of the novel mathematical formulation are discussed.
关键词：Pennes Bioheat Equation; Non-Fourier Heat Transport Laws; Heat Transfer in Biological Tissues;Mathematical Modeling
