Optimering av kylanordning för behandling med hypertermi

dc.contributor.authorStensöta, Olivia
dc.contributor.authorHenrysson, Rebecca
dc.contributor.authorBrömssen, Erik von
dc.contributor.authorJohansson, Emelie
dc.contributor.departmentChalmers tekniska högskola / Institutionen för matematiska vetenskapersv
dc.contributor.departmentChalmers University of Technology / Department of Mathematical Sciencesen
dc.date.accessioned2019-07-05T12:03:04Z
dc.date.available2019-07-05T12:03:04Z
dc.date.issued2019
dc.description.abstractAn 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.urihttps://hdl.handle.net/20.500.12380/257359
dc.language.isoswe
dc.setspec.uppsokPhysicsChemistryMaths
dc.subjectMatematik
dc.subjectGrundläggande vetenskaper
dc.subjectMathematics
dc.subjectBasic Sciences
dc.titleOptimering av kylanordning för behandling med hypertermi
dc.type.degreeExamensarbete för kandidatexamensv
dc.type.degreeBachelor Thesisen
dc.type.uppsokM2
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