New formulation of Magnetization Equation for Flowing Nuclear Spin Under NMR/MRI Excitation

[+] Author and Article Information
Dilip DE

Department of Physics, Covenant University(Visiting), Cannan Land, Ota, Ogun State, Nigeria

1Corresponding author.

ASME doi:10.1115/1.4039100 History: Received September 02, 2017; Revised January 19, 2018


We have obtained from the Bloch NMR equations the correct dependence of the single component My and Mz at resonnance (NMR/MRI) on relaxation times, rf B1 field (pulsed or continuous), blood(nuclear spin) flow velocity, etc. in the rotating frame of reference. We find that the new formulation for the first time uniquely describes the true relationship between individual single component My, Mz of magnetization of flowing nuclear spin with the above quantities (excluding diffusion and gradient fields) during NMR/MRI excitation. The equations are applicable for both CW and pulsed NMR experiments with or without flow of spins. Our approaches can be extended easily to include gradient fields and diffusion of spins, if needed in NMR/MRI experiments. We also discuss the application of our equations to a specific case of MR excitation scheme: Free induction decay. The new equations and further equations that can be derived with the methodlogies used here, can advance the techniques of non-invasive blood flow estimation by MR and also accurate extraction of paramaters of clinical importance by enabling accurate simulation of the MR images ( of blood flow and tissue) and comparison with experimental MR images. The detailed simulations from the equations will be published in the next article.

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