## 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.

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 2010/07/21 Radiative heat transfer ; SPn-approximation ; optimal control ; parameter identification Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik 22-XX TOPOLOGICAL GROUPS, LIE GROUPS (For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX) / 22Exx Lie groups (For the topology of Lie groups and homogeneous spaces, see 57Sxx, 57Txx; for analysis thereon, see 43A80, 43A85, 43A90) / 22E46 Semisimple Lie groups and their representations 53-XX DIFFERENTIAL GEOMETRY (For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx) / 53Cxx Global differential geometry [See also 51H25, 58-XX; for related bundle theory, see 55Rxx, 57Rxx] / 53C35 Symmetric spaces [See also 32M15, 57T15] 57-XX MANIFOLDS AND CELL COMPLEXES (For complex manifolds, see 32Qxx) / 57Sxx Topological transformation groups [See also 20F34, 22-XX, 37-XX, 54H15, 58D05] / 57S20 Noncompact Lie groups of transformations Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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