Abstract
Laser-induced interstitial thermotherapy (LITT) is a medical treatment which attempts to destroy liver tumors by thermal ablation. A realistic real-time simulation shall support the practitioner online in planning the therapy. The heat transfer inside the liver can be described by a PDE system consisting of the so-called bio-heat equation and a radiative transfer model. We model the heat loss due to blood perfusion by a simple sink term with spatially varying coefficient accounting for the presence of vessels. Using PDE-constrained optimization we demonstrate how to fit this parameter in order to minimize the deviation between the predicted and measured temperature.
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