De, Dilip Kumar
(2013)
*NMR/MRI Blood Flow Magnetization Equation in the
Rotating Frame of Reference-Part I.*
Advanced Science, Engineering and Medicine, 5 (xx).
pp. 1-9.

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## Abstract

This paper describes thoroughly the need and the method of deriving the first of its kind the NMR/MRI blood flow magnetization (y component) equation in the rotating frame when rf B1 field is applied along laboratory X direction. �� v ·� + � �t � 1 �B1�x� t� � v ·� + � �t + 1 T2 � + 1 �B1�x� t�T1 � v ·� + � �t + 1 T2 +�2B2 1�x� t�T1 �� My = Mo T1 where v ·� = vx � �x +vy � �y vx and vy are the components of blood flow velocity along the x and y directions of the rotating frame in an NMR experiment. The equation is expected to serve as the mother equation for accurate non invasive blood flow quantification through all NMR/MRI experiments. It is shown how Awojyogbe’s equation of blood flow magnetization can be obtained from above equation under assumption of constant B1 field and vy = 0. The method of deriving the equation can be applied to modify Bloch Torey Diffusion MRI equation to include relaxation times and flow and also to derive the NMR/MRI spin flow magnetization equation in the laboratory frame of reference. The derivation of the corresponding equation for magnetization of flowing blood spins in the laboratory frame of reference will be discussed in a separate paper.

Item Type: | Article |
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Uncontrolled Keywords: | NMR/MRI, Flow Magnetization Equation, Relaxation Times, Diffusion MRI, Rotating Frame, Laboratory Frame, Mother Equation. |

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 19:18 |

Last Modified: | 12 Apr 2015 20:03 |

URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/4886 |

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