Sensitivity analysis of temperature field in the heated soft tissue with respect to the perturbations of porosity

Abstract

• Generalized dual-phase lag equation for axisymmetrical domain is considered. • Sensitivity analysis is used to estimate temperature changes due to the perturbation of the porosity. • Numerical algorithm based on the explicit scheme of the finite difference method is proposed. The thermal processes occurring in the heated soft tissues are described by generalized dual-phase lag model supplemented by appropriate boundary and initial conditions. A key parameter in this model is the porosity associated with the diameter of blood vessels and the diameter of the surrounding tissue. Using the direct approach, the sensitivity analysis of the tissue and blood temperatures with respect to these diameters is discussed. The basic problem and additional ones concerning the sensitivity functions are solved by means of the explicit scheme of finite difference method. In the final part the results of computations are presented and the conclusions are formulated.