Magnetic Resonance Imaging PHYSICAL PRINCIPLES AND APPLICATIONS This is a volume in ELECTROMAGNETISM .... o .......... o ............ o .............. ISAAK MAYERGOYZ~ SERIES EDITOR UNIVERSITY OF MARYLAND COLLEGE PARK, MARYLAND Magnetic Resonance Imaging PHYSICAL PRINCIPLES AND APPLICATIONS VADIM KUPERMAN University of Chicago Chicago, Illinois ACADEMIC PRESS A Harcourt Science and Technology Company San Diego San Francisco New York Boston London Sydney Tokyo This book is printed on acid-free paper. Copyright (cid:14)9 2000 by Academic Press All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Requests for permission to make copies of any part of the work should be mailed to the following address: Permissions Department, Harcourt, Inc., 6277 Sea Harbor Drive, Orlando, Florida, 32887-6777. Explicit permission from Academic Press is not required to reproduce a maximum of two figures or tables from an Academic Press article in another scientific or research publication provided that the material has not been credited to another source and that full credit to the Academic Press article is given. ACADEMIC PRESS A Harcourt Science and Technology Company 525 B Street, Suite 1900, San Diego, CA 92101-4495, USA http://www, apnet, com Academic Press Harcourt Place, 32 Jamestown Road, London NWl 7BY UK http://www, hbuk. co. uk/ap/ Library of Congress Catalog Card Number: 99-65743 International Standard Book Number: 0-12-429150-3 Printed in the United States of America 00 01 02 03 IP 9 8 7 6 5 4 3 2 1 To my dear wife Leslie, whose constant love and support are precious to me. I could not have written this book without her by my side. This Page Intentionally Left Blank Contents Foreword xi Acknowledgements xiii Introduction 1 References 7 Chapter I Basic Principles of Nuclear Magnetic Resonance 9 1.1. The Phenomenon of NMR 9 1.2. Motion of Magnetic Moments 12 1.3. The Bloch Equations 15 1.4. Basic NMR Experiment 17 1.5. T~ Decay 19 1.6. Spin Echoes 21 1.7. Signal Attenuation Due to Diffusion 24 References 26 Chapter 2 Excitation of the Transverse Magnetization 29 2.1. Dynamics of Repeatedly Excited Magnetization 29 2.2. Ernst Angle 34 2.3. Spatially Selective Excitation 35 References 39 VIo. I viii Contents Chapter 3 Basic Techniques for 2D and 3D MRI 41 3.1. Image Reconstruction from Discrete Samples 41 3.2. Frequency and Phase Encoding 44 3.3. Basic Gradient and Spin-echo Pulse Sequences 49 3.4. K-space 53 References 56 Chapter 4 Contrast in MR Imaging 57 4.1. Main Contrast Mechanisms in 1H MRI 58 4.2. Contrast Agents 64 4.3. Magnetization Transfer Contrast 67 4.4. Diffusion-Weighted Images 71 References 73 Chapter 5 Signal-to-Noise Ratio in MRI 77 5.1. Noise Variance in MR Images 77 5.2. SNR in 2D and 3D MRI 80 5.3. SNR Field Dependence 83 References 85 Chapter 6 Image Artifacts 87 6.1. Artifacts Due to Magnetic Field Nonuniformity 87 6.2. Chemical Shift Artifacts 90 6.3. Artifacts Due to Motion and Flow 95 6.4. MRI Techniques for Motion Artifact Reduction 100 References 107 Chapter 7 Rapid MR Imaging 111 7.1. Rapid Gradient-Echo Imaging 111 7.2. Echo-Planar Imaging 116 7.3. Fast Spin-Echo Imaging 120 Contents ix 7.4. Spiral Imaging 125 7.5. Partial k-Space Acquisition 128 References 133 Chapter 8 MR Imaging of Flow 135 8.1. Time-of-Flight Techniques 135 8.2. Phase-contrast MRA 143 8.3. Contrast-enhanced MRI of Flow 146 References 147 Chapter 9 MRI Instrumentation: Magnets, Gradient Coils, and Radiofrequency Coils 151 9.1. Magnets 151 9.2. Gradient Coils 161 9.3. Radiofrequency Coils 164 References 171 Appendix 173 A. Phase-sensitive Detection 173 B. Image Display 175 Index 177
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