Optimering av kylanordning för behandling med hypertermi
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Typ
Examensarbete för kandidatexamen
Bachelor Thesis
Bachelor Thesis
Program
Publicerad
2019
Författare
Stensöta, Olivia
Henrysson, Rebecca
Brömssen, Erik von
Johansson, Emelie
Modellbyggare
Tidskriftstitel
ISSN
Volymtitel
Utgivare
Sammanfattning
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.
Beskrivning
Ämne/nyckelord
Matematik , Grundläggande vetenskaper , Mathematics , Basic Sciences