## Identification of Temperature Dependent Parameters in Radiative Heat Transfer

• Laser-induced thermotherapy (LITT) is an established minimally invasive percutaneous technique of tumor ablation. Nevertheless, there is a need to predict the effect of laser applications and optimizing irradiation planning in LITT. Optical attributes (absorption, scattering) change due to thermal denaturation. The work presents the possibility to identify these temperature dependent parameters from given temperature measurements via an optimal control problem. The solvability of the optimal control problem is analyzed and results of successful implementations are shown.

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Author: Oliver Tse, René Pinnau, Norbert Siedow urn:nbn:de:hbz:386-kluedo-16543 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (275) Preprint English 2010 2010 Technische Universität Kaiserslautern Radiative heat transfer ; SPn-approximation ; optimal control ; parameter identification Fachbereich Mathematik 510 Mathematik 22E46 Semisimple Lie groups and their representations 53C35 Symmetric spaces [See also 32M15, 57T15] 57S20 Noncompact Lie groups of transformations

$Rev: 12793$