Modeling Laser-Induced Thermotherapy in Biological Tissue

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dc.contributor.advisorWarburton, Timothy
dc.contributor.committeeMemberRiviere, Beatrice M.
dc.contributor.committeeMemberSymes, William W.
dc.creatorWang, Zheng
dc.date.accessioned2016-01-26T21:46:30Z
dc.date.available2016-01-26T21:46:30Z
dc.date.created2015-12
dc.date.issued2015-05-01
dc.date.submittedDecember 2015
dc.date.updated2016-01-26T21:46:30Z
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.
dc.format.mimetypeapplication/pdf
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>.
dc.identifier.urihttps://hdl.handle.net/1911/88146
dc.language.isoeng
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.
dc.subjectLaser-Induced Thermal Therapy
dc.subjectRadiative Transfer Equation
dc.subjectHigh Performance Computing
dc.titleModeling Laser-Induced Thermotherapy in Biological Tissue
dc.typeThesis
dc.type.materialText
thesis.degree.departmentComputational and Applied Mathematics
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Arts
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