2017
DOI: 10.1186/s40736-017-0034-3
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Optimal control theory for applications in Magnetic Resonance Imaging

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 … Show more

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Cited by 12 publications
(12 citation statements)
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“…More recently, the application of optimized RF pulses, designed with an Optimal Control (OC) algorithm, in presence of a constant gradient was investigated 27 , 28 . OC theory was demonstrated to be useful in MRI in the context of image contrast optimization 29 , 30 and robust excitation and refocusing 31 33 . Both mentioned applications are based on the NMR signal magnitude whereas in the case of MRE, OC pulses were proposed for phase contrast applications such as MRE 28 .…”
Section: Introductionmentioning
confidence: 99%
“…More recently, the application of optimized RF pulses, designed with an Optimal Control (OC) algorithm, in presence of a constant gradient was investigated 27 , 28 . OC theory was demonstrated to be useful in MRI in the context of image contrast optimization 29 , 30 and robust excitation and refocusing 31 33 . Both mentioned applications are based on the NMR signal magnitude whereas in the case of MRE, OC pulses were proposed for phase contrast applications such as MRE 28 .…”
Section: Introductionmentioning
confidence: 99%
“…In this context, our approach is to investigate the possibilities of enhancing contrast by modeling an arbitrary preparation inside the MP-RAGE. Our work is based on the recent optimal control framework proposed for the design of a preparation to optimize MRI contrast based on the relaxations differences [5][6][7]. This paper presents a novel use of the GRAPE algorithm in order to optimize a complex preparation within the establishment of a longitudinal steady state.…”
Section: Introductionmentioning
confidence: 99%
“…Several optimization algorithms [8][9][10][11] have been proposed to design control fields suited to different experimental setups and constraints or robust against experimental uncertainties and modelling imperfections [12][13][14][15][16][17][18][19][20]. QOCT has been first developed in molecular physics to steer chemical reactions [2,6,21,22] and in Nuclear Magnetic Resonance (NMR) or Magnetic Resonance Imaging for controlling spin dynamics [8,[23][24][25][26][27][28][29][30]. OCT is nowadays attracting a lof of effort in the context of quantum information processing [31][32][33][34] and has been recognized as one of the cornerstones for enabling quantum technologies [1].…”
Section: Introductionmentioning
confidence: 99%