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We apply innovative mathematical tools coming from optimal control theory toimprove theoretical and experimental techniques in Magnetic Resonance Imaging(MRI). This approach allows us to explore and to experimentally reach thephysical limits of the corresponding spin dynamics in the presence of typicalexperimental imperfections and limitations. We study in this paper twoimportant goals, namely the optimization of image contrast and the maximizationof the signal to noise per unit time. We anticipate that the proposedtechniques will find practical applications in medical imaging in a near futureto help the medical diagnosis.

Optimal control theory for applications in magnetic resonance imaging