Numerical solution of the bio-heat transfer equation with uncertain parameters using the sensitivity analysis methods

In the paper the numerical solution concerning the skin tissue heating in the case of uncertain thermophysical parameters is discussed. The solutions of this type of problems presented previously are based on the application of interval arithmetic. In particular, the parameters appearing in the governing equations and boundary-initial conditions are treated as the interval numbers. Here, the authors propose another approach using for this purpose the methods of sensitivity analysis. The mathematical model of the process concerns the heterogeneous tissue domain subjected to an external heat source. At the stage of numerical modeling both the basic model and the sensitivity ones are solved using the finite difference method. In the final part of the paper, a computational example is presented.