Modeling Laser-Induced Thermotherapy in Biological Tissue

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dc.contributor.advisorWarburton, Timothyen_US
dc.contributor.committeeMemberRiviere, Beatrice M.en_US
dc.contributor.committeeMemberSymes, William W.en_US
dc.creatorWang, Zhengen_US
dc.date.accessioned2016-01-26T21:46:30Zen_US
dc.date.available2016-01-26T21:46:30Zen_US
dc.date.created2015-12en_US
dc.date.issued2015-05-01en_US
dc.date.submittedDecember 2015en_US
dc.date.updated2016-01-26T21:46:30Zen_US
dc.description.abstractThis thesis studies simulations of laser-induced thermotherapy (LITT), a minimally-invasive procedure which ablates cancerous tissue using laser heating. In order to predict this procedure, mathematical models are used to assist in treatment. By simulating the laser heating of tissue, surgeons may estimate regions of tissue exceeding a thermal damage threshold. One important component of the LITT model is laser simulation, which is typically characterized by the radiative transfer equation (RTE). The RTE is a time-dependent integro-differential equation with variables in both angular and physical spaces. In this thesis, we conduct numerical experiments using both discrete ordinate and Galerkin methods. The former discretizes a finite number of directions using finite difference methods, while the latter employs continuous functions for both angular and spatial discretizations. Numerical results indicate that the numerical errors in both methods are dominated by the error in the less restricted space. In addition, the discrete ordinate method suffers from the ray effect, in which isotropic scattering is violated, whereas in the Galerkin method, the ray effect is not observed.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationWang, Zheng. "Modeling Laser-Induced Thermotherapy in Biological Tissue." (2015) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/88146">https://hdl.handle.net/1911/88146</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/88146en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectLaser-Induced Thermal Therapyen_US
dc.subjectRadiative Transfer Equationen_US
dc.subjectHigh Performance Computingen_US
dc.titleModeling Laser-Induced Thermotherapy in Biological Tissueen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentComputational and Applied Mathematicsen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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