On a mathematical model for laser-induced thermotherapy
Please always quote using this URN:urn:nbn:de:0296-matheon-5454
- We study a mathematical model for laser-induced thermotherapy, a minimally invasive cancer treatment. The model consists of a diffusion approximation of the radiation transport equation coupled to a bio-heat equation and a model to describe the evolution of the coagulated zone. Special emphasis is laid on a refined model of the applicator device, accounting for the effect of coolant flow inside. Comparisons between experiment and simulations show that the model is able to predict the experimentally achieved temperatures reasonably well.
Author: | Antonio Fasano, Dietmar Hömberg, Dmitri Naumov |
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URN: | urn:nbn:de:0296-matheon-5454 |
Referee: | Fredi Tröltzsch |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2009/01/22 |
Release Date: | 2009/01/22 |
Tag: | |
Institute: | Humboldt-Universität zu Berlin |
Technische Universität Berlin | |
Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) | |
MSC-Classification: | 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Qxx Equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05] / 35Q80 PDEs in connection with classical thermodynamics and heat transfer |
76-XX FLUID MECHANICS (For general continuum mechanics, see 74Axx, or other parts of 74-XX) / 76Zxx Biological fluid mechanics [See also 74F10, 74L15, 92Cxx] / 76Z05 Physiological flows [see also 92C35] | |
92-XX BIOLOGY AND OTHER NATURAL SCIENCES / 92Cxx Physiological, cellular and medical topics / 92C50 Medical applications (general) | |
Preprint Number: | 541 |