Effect of Relaxation Times on Magnetization of Blood Proton Spins at Steady State using Improved Bloch NMR Fluid Flow Equation
DOI:
https://doi.org/10.62054/ijdm/0104.12Parole chiave:
Improved Bloch NMR fluid flow equation, Blood vessels, phase coherence.Abstract
Nuclear magnetic resonance (NMR) is a phenomenon that involves the absorption and re-emission of electromagnetic radiation by blood proton spins flowing through human vessels. NMR is governed by Bloch NMR fluid flow equation, which can be used to define the magnetization of blood proton spins. In the existing literature, the Bloch NMR fluid flow equation has been derived, and it has been observed that the equation does not incorporate certain NMR and blood flow parameters. In this paper, we derived a novel Bloch NMR magnetization flow equation that encompasses NMR parameters such as Larmor frequency of spinning protons and static magnetic field. We utilized the principle of dimensional homogeneity to check the validity of our newly derived NMR flow equation. Furthermore, we investigated the effect of transverse relaxation times of arterial, venous and capillary blood on magnetization of blood spinning protons. We employed Laplace transform method to obtain the steady state solution of the improved Bloch NMR fluid flow equation. MATLAB and Origin software tools were used for data analysis and simulations. Results showed that for varied transverse relaxation times of arterial, venous and capillary blood, respectively, the magnetization distribution of blood spinning protons consists of two components: the linear and the non-linear components. The findings of the study also indicated that capillary blood proton spins exhibit phase coherence. The simulated results may be used by spectroscopists to improve the accuracy of NMR/magnetic resonance imaging (MRI) experiments.
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