ANALYTICAL SOLUTION TO BLOCH EQUATIONS FOR CW NMR FLOW MAGNETIZATION SIGNAL WITH A NON VARYING B1 rF FIELD USING LAPLACE TRANSFORM

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Close·forrn solutions of NMR Bloch equation with flow dependent magnetization are hitherto not available as sucl! solutions arc truly non·trivial. Using the Blocll equations and a time derivative of magnetization related to velocity gradient we h.ave developed a second order differential equation whose solution using Laplace transform has provided a velocity dependent CW NMR signal. It is hoped that the practical application of our theoretical investigation will provide a better insight in blood vessel hemodynamics, estimation and elimination of static tissue signal in CW NMR flow measurement which can be afforded by people in developing countries.

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Q Science (General), QC Physics

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