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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 (permanent link):urn:nbn:de:hbz:386-kluedo-16543
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (275)
Document Type:Preprint
Language of publication:English
Year of Completion:2010
Year of Publication:2010
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2010/07/21
Tag:Radiative heat transfer; SPn-approximation; optimal control; parameter identification
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):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
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011