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dc.contributor.advisor Zhang, Yin
dc.creatorMerritt, Michael S.
dc.date.accessioned 2009-06-04T08:36:41Z
dc.date.available 2009-06-04T08:36:41Z
dc.date.issued 2006
dc.identifier.urihttps://hdl.handle.net/1911/18948
dc.description.abstract Intensity-modulated radiation therapy (IMRT) is a state-of-the-art technique for administering radiation to cancer patients. The goal of a treatment is to maximize the radiation absorbed by the tumor and minimize that absorbed by the surrounding critical organs. Since a plan can almost never be found that both kills the tumor and completely avoids irradiating critical organs, the medical physics community has quantified the sacrifices that can be tolerated in so-called dose-volume constraints. Efficiently imposing such constraints, which are fundamentally combinatorial in nature, poses a major challenge due to the large amount of data. Also, the IMRT technology limits which dose distributions are actually deliverable. So, we seek a physically deliverable dose distribution that at the same time meets the minimum tumor dose prescription and satisfies the dose-volume constraints. We propose a new greedy algorithm and show that it converges to a local minimum of the stated formulation of the fluence map problem. Numerical comparison is made to an approach representative of the leading commercial software for IMRT planning. We find our method produces plans of competitive quality with a notable improvement in computational performance. Our efficiency gain is most aptly attributed to a new interior-point gradient algorithm for solving the nonnegative least squares subproblem every iteration. Convergence is proven and numerical comparisons are made to other leading methods demonstrating this solver is well-suited for the subproblem.
dc.format.extent 123 p.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectMathematics
dc.title A sensitivity-driven greedy approach to fluence map optimization in intensity-modulated radiation therapy
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Mathematics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.citation Merritt, Michael S.. "A sensitivity-driven greedy approach to fluence map optimization in intensity-modulated radiation therapy." (2006) Diss., Rice University. https://hdl.handle.net/1911/18948.


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