Exploring the physical limits of spin systems: A challenge in medical imaging

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We propose in this project to apply innovative mathematical tools coming from optimal control theory to improve theoretical and experimental techniques in Magnetic Resonance Imaging (MRI) and Nuclear Magnetic Resonance (NMR) spectroscopy. This approach will allow us to explore and to experimentally approach the physical limits of the corresponding spin dynamics in the presence of typical experimental imperfections and limitations. An important goal is the optimization of image contrast and sensitivity for a given measurement time. We will study both fundamental and applied problems of the control of spin systems in MRI and NMR. We anticipate that the proposed techniques will find practical applications in medical imaging in a near future in order to help the medical diagnosis.