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

Odoh, E. O. and De, Dilip Kumar (2009) ANALYTICAL SOLUTION TO BLOCH EQUATIONS FOR CW NMR FLOW MAGNETIZATION SIGNAL WITH A NON VARYING B1 rF FIELD USING LAPLACE TRANSFORM. Jour. oflnst. of Mathematics & Computer Sciences, 22 (2). pp. 77-85.

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Abstract

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.

Item Type: Article
Subjects: Q Science > Q Science (General)
Q Science > QC Physics
Divisions: Faculty of Engineering, Science and Mathematics > School of Physics
Depositing User: Mrs Hannah Akinwumi
Date Deposited: 12 Apr 2015 20:53
Last Modified: 12 Apr 2015 20:53
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/4903

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