Identification of temperature dependent parameters in a simplified radiative heat transfer

CLaser-induced thermotherapy (LITT) is an established minimally invasive technique of tumor ablation. Therefore, there is a need to predict the effect of laser applications and optimizing irradiation planning in LITT. The radiative transfer model is approximated by simplified approximations of spherical harmonics (SPn), which is coupled with a bioheat transfer equation. Changes in optical attributes (absorption, scattering) occur due to thermal denaturation. The work presents the possibility to identify these temperature dependent parameters from given temperature measurements via an optimal control problem/inverse problem. The solvability of the optimal control problem is analyzed and results of successful implementations are shown.