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Home / Books / Published Books / Theory, Dynamics and Applications of Magnetic Resonance Imaging-I
Theory, Dynamics and Applications of Magnetic Resonance Imaging-I
Authors:
Abhishek Gupta, Timothy Stait-Gardner, Bahman Ghadirian, William S. Price, Michael Oluwaseun Dada, Omotayo Bamidele Awojoyogbe
ISBN:
978-1-940366-10-4
Published Date:
October, 2014
Pages:
143
Paperback:
$89
Publisher:
Science Publishing Group
OPEN ACCESS
To purchase hard copies of this book, please email:
book@sciencepublishinggroup.com
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Table of Contents
The Whole Book
Since May 20, 2015
Front Matter
Since October 26, 2014
Chapter 1 Fundamental Concept for the Theory, Dynamics and Applications of MRI
Since October 26, 2014
1.1 Introduction
1.2 Preliminary Concepts
1.2.1 Nuclear Spin and Magnetic Moment
1.2.2 Radiofrequency Pulse and Signal Detection
1.2.3 Relaxation
1.3 MRI Theory
1.3.1 Gradients - One Dimensional Imaging
1.3.2 Three Dimensional Imaging - Spatial Encoding
1.3.3 Slice Selection
1.3.4 Phase Encoding
1.3.5 Frequency Encoding
1.3.6 Raw Data Matrix, K - Space and Q - Space
1.3.7 Image Reconstruction
1.4 MRI Contrast
1.4.1 Endogenous Sources
1.4.2 Exogenous Sources - Contrast Agents
1.5 Applications
References
Chapter 2 Fundamental Mathematical Formulation for the Theory, Dynamics and Applications of Magnetic Resonance Imaging
Since October 26, 2014
2.1 Introduction
2.2 The Bloch NMR Equations
2.3 The General Bloch NMR Flow Equation
2.4 The Time - Independent Bloch NMR Flow Equation
2.5 The Time - Dependent Bloch NMR Flow Equation
2.6 Diffusion MRI Equation
2.7 Wave MRI Equation
2.8 The Bessel Equation
2.9 The NMR Schrodinger Wave Equation
2.10 Time - Dependent NMR Schrodinger Equaion
2.11 NMR Legendre Equation and Boubaker Polynomial
2.12 Sturm - Liouville Problem
2.13 The Diffusion - Advection Equation
2.14 The Euler NMR Equation
2.15 Analytical Solutions to the Generalized Bloch NMR Flow Equation
2.16 Solutions to the NMR Travellling Wave Equation
2.17 MRI Bessel Equation
2.18 Equation of Motion for Pulsed NMR
2.19 Application to Molecular Imaging
2.20 The Hermite Polynomials
2.21 Application to Multiple Sclerosis
2.22 Bloch - Torrey Equation for NMR Studies of Molecular Diffusion
2.23 Adiabatic Model of Bloch NMR Flow Equation
2.24 Application of Time Dependent Bloch NMR Equation and Pennes Bioheat Equation to Theranostics
2.25 Summary
2.26 Conclusion
References
Back Matter
Since October 26, 2014
Author(s)
Omotayo Bamidele Awojoyogbe, Department of Physics, Federal University of Technology, Minna, Niger State, Nigeria.
Abhishek Gupta, Nanoscale Organisation and Dynamics Group, School of Science and Health, University of Western Sydney, Australia.
Timothy Stait-Gardner, Nanoscale Organisation and Dynamics Group, School of Science and Health, University of Western Sydney, Australia.
Bahman Ghadirian, Nanoscale Organisation and Dynamics Group, School of Science and Health, University of Western Sydney, Australia.
William S. Price, Nanoscale Organisation and Dynamics Group, School of Science and Health, University of Western Sydney, Australia.
Michael Oluwaseun Dada, Department of Physics, Federal University of Technology, Minna, Niger State, Nigeria.
Description
There can be few better examples of the complex and unanticipated interactions of basic research and technological innovation than the development of magnetic resonance imaging (NMR/MRI) techniques for multidisciplinary research. The method has the rather unusual and attractive features that it is totally non-destructive and non-invasive and for these reasons it has interesting applications in almost all fields of research.

An ideal approach to exhaust the complex and unanticipated interactions of basic research and technological innovation offered by magnetic resonance techniques would be to find generalized ( time dependent and time independent) analytical solutions and models to the Bloch NMR equations. The advantages of such solutions are related to the fact that the magnetizations and signals obtainable from them may constitute an array of parameters that are uniquely informative for functional and dynamical studies of living and nonliving matters.

Unfortunately, the basic physics of extracting the relevant information from the solution of Bloch NMR equations to accurately understand the theory, dynamics and applications of magnetic resonance imaging (MRI) is still not yet fully available. Additionally, it may be noteworthy to mention that, analytical solutions to the Bloch NMR flow equations have deliberately, perhaps unintentionally been omitted in the literature. Presently, there are no simple closed solutions known to the Bloch NMR flow equations for a general radiofrequency (rF) excitation. Therefore the Mathematical formulations and models based on the Bloch NMR flow equations presented in this book can be taken as definitions of new functions to be studied in detail.

Volume I of this book is intended to present basic theory of MRI and develop several fundamental equations which can be invaluable for quantitative and qualitative analysis of NMR magnetizations and signals. Fortunately, analytical solutions to these equations are available in standard Mathematics, Physics, Chemistry and Engineering textbooks. These solutions can then be used to reveal without too much difficulty many of the most important but hidden applications of magnetic resonance imaging.

Volume I is intentionally divided into only two chapters to focus the minds of our readers on the array of MRI innovations expected in Volume II.
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