Optimering av kylanordning för behandling med hypertermi

Examensarbete för kandidatexamen

Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.12380/257359
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Type: Examensarbete för kandidatexamen
Bachelor Thesis
Title: Optimering av kylanordning för behandling med hypertermi
Authors: Stensöta, Olivia
Henrysson, Rebecca
Brömssen, Erik von
Johansson, Emelie
Abstract: An optimization algorithm for a cooling system, created for cancer treatment with hyperthermia was developed. An optimization problem restricted by a partial differential equation — the time independent heat equation -u = f — was formulated over the variables describing the geometry of two cooling channels. The heat equation was solved in a domain that represents part of the hyperthermia applicator. The objective functional to minimize is the average temperature of the patients skin, R 􀀀1 u dS where 􀀀1 is the part of that represents the patients skin. This algorithm was implemented with a gradient projection method and a finite difference solver. The algorithm was also verified, both numerically and experimentally with good results. The results demonstrate a functioning optimization algorithm, but with limitations. With the simplifications made we found a method to optimize cooling channels for an improved cooling. However, the algorithm needs to be further developed to better reflect reality and possible treatment cases should be investigated. With a fully functioning optimization algorithm without limitations, hyperthermia treatment can be used with reduced risk for burns.
Keywords: Matematik;Grundläggande vetenskaper;Mathematics;Basic Sciences
Issue Date: 2019
Publisher: Chalmers tekniska högskola / Institutionen för matematiska vetenskaper
Chalmers University of Technology / Department of Mathematical Sciences
URI: https://hdl.handle.net/20.500.12380/257359
Collection:Examensarbeten för kandidatexamen // Bachelor Theses



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