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Velocity and diffusion imaging in dynamic NMR microscopy
Institution:1. Laboratory of Vibrational Hydromechanics, Perm State Humanitarian Pedagogical University, 614990 Perm, Russia;2. Laboratory of Hydrodynamic Stability, Institute of Continuous Media Mechanics of the Ural Branch of Russian Academy of Sciences, 614013, Perm, Russia;1. Metabolic Disorder Research Center, Golestan University of Medical Science, Gorgan, Iran;2. Department of Chemistry, Sharif University of Technology, Tehran, Iran;3. Department of Microbiology, School of Medicine, Golestan University of Medical Science, Gorgan, Iran;1. Institute of Mathematics, Heinrich-Heine-University Düsseldorf, Düsseldorf, Germany;2. Computer, Electrical, Mathematical Sciences & Engineering Division, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia
Abstract:The imposition of resolution gradients in a pulsed-gradient spin-echo (PGSE) NMR sequence induces motionally dependent phase and amplitude modulation in the image, a technique which we have termed dynamic NMR microscopy. Fourier analysis of this modulation gives a dynamic displacement profile for each pixel which can then be analyzed to obtain velocity and diffusion maps. The application of this method at high spatial resolution is motivated by a desire to measure vascular flow in living plants and variations in molecular self-diffusion under the influence of velocity shear in narrow capillaries. The theory of dynamic NMR microscopy is presented and potential artifacts discussed, including the effect of slice selection gradients, PGSE gradient nonuniformity, and specific problems associated with the measurement of self-diffusion in the presence of velocity gradients. It is demonstrated that a double-echo PGSE pulse sequence can be used to restore coherent phase shifts associated with steady-state flow, and examples of self-diffusion maps and signed velocity maps from sequences of phase-encoded images obtained by projection reconstruction are given. This method has been applied at 20,um transverse resolution in laminar capillary flow.
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