Optimal control theory for applications in Magnetic Resonance Imaging
- Resource Type
- article
- Authors
- Eric Van Reeth; Helene Ratiney; Marc Lapert; Steffen J. Glaser; Dominique Sugny
- Source
- Pacific Journal of Mathematics for Industry, Vol 9, Iss 1, Pp 1-10 (2017)
- Subject
- Optimal control theory
Spin dynamics
Magnetic resonance imaging
Applied mathematics. Quantitative methods
T57-57.97
- Language
- English
- ISSN
- 2198-4115
Abstract We apply innovative mathematical tools coming from optimal control theory to improve theoretical and experimental techniques in Magnetic Resonance Imaging (MRI). This approach allows us to explore and to experimentally reach the physical limits of the corresponding spin dynamics in the presence of typical experimental imperfections and limitations. We study in this paper two important goals, namely the optimization of image contrast and the maximization of the signal to noise per unit time. We anticipate that the proposed techniques will find practical applications in medical imaging in a near future to help the medical diagnosis.