Optimering av kylanordning för behandling med hypertermi
dc.contributor.author | Stensöta, Olivia | |
dc.contributor.author | Henrysson, Rebecca | |
dc.contributor.author | Brömssen, Erik von | |
dc.contributor.author | Johansson, Emelie | |
dc.contributor.department | Chalmers tekniska högskola / Institutionen för matematiska vetenskaper | sv |
dc.contributor.department | Chalmers University of Technology / Department of Mathematical Sciences | en |
dc.date.accessioned | 2019-07-05T12:03:04Z | |
dc.date.available | 2019-07-05T12:03:04Z | |
dc.date.issued | 2019 | |
dc.description.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. | |
dc.identifier.uri | https://hdl.handle.net/20.500.12380/257359 | |
dc.language.iso | swe | |
dc.setspec.uppsok | PhysicsChemistryMaths | |
dc.subject | Matematik | |
dc.subject | Grundläggande vetenskaper | |
dc.subject | Mathematics | |
dc.subject | Basic Sciences | |
dc.title | Optimering av kylanordning för behandling med hypertermi | |
dc.type.degree | Examensarbete för kandidatexamen | sv |
dc.type.degree | Bachelor Thesis | en |
dc.type.uppsok | M2 |
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