alexa BPES-Related Mathematical Development for the Phase Shift Due to Rf Magnetic Field in Heart Inferior Coronary Artery NMR Imaging
ISSN: 2155-9880

Journal of Clinical & Experimental Cardiology
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Research Article

BPES-Related Mathematical Development for the Phase Shift Due to Rf Magnetic Field in Heart Inferior Coronary Artery NMR Imaging

Awojoyogbe OB1, Boubakker karemt2*, Aweda MA3 and Dada M1
1Department of Physics, Federal University of Technology, Minna, Niger-State, Nigeria
2Unite de Physique de Dispositifs a Semiconducteurs -UPDS- Faculte des Sciences de Tunis, Campus Universitaire 2092 Tunis, Tunisia
3Department of Radiation Biology and Radiotherapy, College of Medicine of the University of Lagos. Idi-Araba, P. M. B. 12003, Lagos State, Nigeria
Corresponding Author : Boubakker karemt
Unite de Physique de Dispositifs a Semiconducteurs -UPDS- Faculte des Sciences de Tunis
Campus Universitaire 2092 Tunis, Tunisia
E-mail: [email protected]
Received: September 10, 2010; Accepted: November 11, 2010; Published: November 13, 2010
Citation: Awojoyogbe OB, Karemt B, Aweda MA, Dada M (2010) BPES-Related Mathematical Development for the Phase Shift Due to Rf Magnetic Field in Heart Inferior Coronary Artery NMR Imaging. J Clinic Experiment Cardiol 1:111. doi:10.4172/2155-9880.1000111
Copyright: © 2010 Awojoyogbe OB, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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Abstract

It is known that most cardiovascular emergencies are caused by coronary artery disease. Nevertheless, in the last decade’s related literature, data about mathematical models of heart and heart vessels along with NMR/MRI features is not accordingly abundant. In fact there are inherent difficulties in developing this type of mathematical models to completely describe the real or ideal geometries of heart arterial system. In this study, a mathematical formulation for the NMR diffusion partial differential equation derived from the Bloch NMR flow equations to describe in detail the activities in lower heart coronary artery is presented. Based on the Bloch NMR flow equations, we deduce analytical expressions to describe in detail the NMR transverse magnetizations and signals as a function of some NMR flow and geometrical parameters which are invaluable for the analysis of blood flow in heart vessels. The boundary conditions are inherently introduced based on the properties of the Boubaker polynomials expansion scheme BPES.

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