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The Cattaneo Model in the context of Thermoablation of Liver Tumors
Author(s) -
Andres Matthias,
Pinnau René
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900241
Subject(s) - context (archaeology) , heat transfer , coupling (piping) , radiative transfer , nonlinear system , computer science , physics , mathematics , mechanics , mechanical engineering , optics , engineering , paleontology , quantum mechanics , biology
Laser‐induced thermotherapy (LITT) is a medical treatment which attempts to destroy liver tumors by thermal ablation. Accurate simulation‐based predictions shall support the practitioner during the therapy. The heat transfer inside the liver is classically described by a nonlinear coupling of the bio‐heat equation and a radiative transfer model. In order to control the speed of heat propagation we consider an additional term for the second‐order time derivative of the solution and obtain a Cattaneo‐like model. For this model we investigate the problem of parameter identification in terms of PDE‐constrained optimization.