Skip to Main Content
Frequently Asked Questions
Submit an ETD
Global Search Box
Need Help?
Keyword Search
Participating Institutions
Advanced Search
School Logo
Files
File List
Alex_Balsells_Thesis_Full.pdf (8.56 MB)
ETD Abstract Container
Abstract Header
Computational Methods for Radiation Therapy Planning
Author Info
Balsells, Alex T
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=case1557844457085534
Abstract Details
Year and Degree
2019, Master of Sciences, Case Western Reserve University, Mathematics.
Abstract
This thesis discusses the problem of computerized tomography (CT) and related radiation therapy planning. In CT, the objective is to estimate the unknown attenuation distribution inside an object based on observed attenuation of X-rays traversing the object, using a model in which the attenuation can be expressed by an integral over the line of sight. In the radiation therapy planning, it is assumed that an estimate of the attenuation distribution is available, and the problem is dual to the CT problem, in the sense that a target radiation level needs to be delivered to cancerous tissue, while keeping the radiation level under a safe threshold in healthy tissue. As discussed in this thesis, mathematically the problems have a common ground. The solution of the CT problem based on the Algebraic Reconstruction Technique (ART) is discussed, and an ART based iterative algorithm is proposed to solve the radiation therapy planning problem. Both parts are elucidated by computed examples.
Committee
Erkki Somersalo (Advisor)
Weihong Guo (Committee Member)
Steven Izen (Committee Member)
Pages
73 p.
Subject Headings
Mathematics
Keywords
Computerized Tomography
Recommended Citations
Refworks
EndNote
RIS
Mendeley
Citations
Balsells, A. T. (2019).
Computational Methods for Radiation Therapy Planning
[Master's thesis, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1557844457085534
APA Style (7th edition)
Balsells, Alex.
Computational Methods for Radiation Therapy Planning.
2019. Case Western Reserve University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=case1557844457085534.
MLA Style (8th edition)
Balsells, Alex. "Computational Methods for Radiation Therapy Planning." Master's thesis, Case Western Reserve University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=case1557844457085534
Chicago Manual of Style (17th edition)
Abstract Footer
Document number:
case1557844457085534
Download Count:
118
Copyright Info
© 2019, all rights reserved.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.