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Magnetic Resonance Parameter Assessment from a Second Order Time-Dependent Linear Model


Abstract This dissertation develops a second order accurate approximation to the magnetic resonance (MR) signal model used in the PARSE (Parameter Assessment by Retrieval from Single Encoding) method to recover information about the reciprocal of the spin-spin relaxation time function (R2*) and frequency offset function (w) in addition to the typical steady-state transverse magnetization (M) from single-shot magnetic resonance imaging (MRI) scans. Sparse regularization on an approximation to the edge map is used to solve the associated inverse problem. Several studies are carried out for both one- and two-dimensional test problems, including comparisons to the first order approximation method, as well as the first order approximation method with joi... (more)
Created Date 2019
Contributor Jesse, Aaron Mitchel (Author) / Platte, Rodrigo (Advisor) / Gelb, Anne (Committee member) / Kostelich, Eric (Committee member) / Mittelmann, Hans (Committee member) / Moustaoui, Mohamed (Committee member) / Arizona State University (Publisher)
Subject Applied mathematics / Medical imaging / MRI / PARSE / R2* / reconstruction / relaxation / T2*
Type Doctoral Dissertation
Extent 75 pages
Language English
Copyright
Note Doctoral Dissertation Mathematics 2019
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS


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Description Dissertation/Thesis