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Simulation Capabilities for Challenging Medical Imaging and Treatment Planning Problems


Beni, Catherine Elizabeth (2011) Simulation Capabilities for Challenging Medical Imaging and Treatment Planning Problems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8PBA-RN43.


Advanced numerical solvers and associated simulation tools, such as, for example, numerical algorithms based on novel spectral methods, efficient time-stepping and domain meshing techniques for solution of Partial Differential Equations (PDEs) (enabling, in particular, effective resolution of extremely steep boundary layers in short computing times), can have a significant impact in the design of medical procedures. In this thesis we present three recently introduced numerical algorithms for medical problems whose performance improves significantly over those of earlier counterparts, and which can thereby provide solutions to a range of challenging computational problems for planning and design of medical treatments.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:numerical analysis; partial differential equations; Fourier continuation; implicit methods; magnetic drug delivery; boundary layers; positron emission tomography; medical imaging; Fejér summation
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Applied And Computational Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Bruno, Oscar P.
Thesis Committee:
  • Bruno, Oscar P. (chair)
  • Desbrun, Mathieu
  • Owhadi, Houman
  • Pullin, Dale Ian
Defense Date:24 May 2011
Record Number:CaltechTHESIS:05272011-085600111
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6463
Deposited By: Catherine Beni
Deposited On:06 Jun 2011 23:33
Last Modified:05 Nov 2019 17:43

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