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Handbook of Neuroimaging Data Analysis Chapman & Hall/CRC Handbooks of Modern Statistical Methods Series Editor Garrett Fitzmaurice Department of Biostatistics Harvard School of Public Health Boston, MA, U.S.A. Aims and Scope The objective of the series is to provide high-quality volumes covering the state-of-the-art in the theory and applications of statistical methodology. The books in the series are thoroughly edited and present comprehensive, coherent, and unified summaries of specific methodological topics from statistics. The chapters are written by the leading researchers in the field, and present a good balance of theory and application through a synthesis of the key methodological developments and examples and case studies using real data. The scope of the series is wide, covering topics of statistical methodology that are well developed and find application in a range of scientific disciplines. The volumes are primarily of interest to researchers and graduate students from statistics and biostatistics, but also appeal to scientists from fields where the methodology is applied to real problems, including medical research, epidemiology and public health, engineering, biological science, environmental science, and the social sciences. Published Titles Handbook of Mixed Membership Models and Their Applications Edited by Edoardo M. Airoldi, David M. Blei, Elena A. Erosheva, and Stephen E. Fienberg Handbook of Markov Chain Monte Carlo Edited by Steve Brooks, Andrew Gelman, Galin L. Jones, and Xiao-Li Meng Handbook of Big Data Edited by Peter Bühlmann, Petros Drineas, Michael Kane, and Mark van der Laan Handbook of Discrete-Valued Time Series Edited by Richard A. Davis, Scott H. Holan, Robert Lund, and Nalini Ravishanker Published Titles Continued Handbook of Design and Analysis of Experiments Edited by Angela Dean, Max Morris, John Stufken, and Derek Bingham Longitudinal Data Analysis Edited by Garrett Fitzmaurice, Marie Davidian, Geert Verbeke, and Geert Molenberghs Handbook of Spatial Statistics Edited by Alan E. Gelfand, Peter J. Diggle, Montserrat Fuentes, and Peter Guttorp Handbook of Cluster Analysis Edited by Christian Hennig, Marina Meila, Fionn Murtagh, and Roberto Rocci Handbook of Survival Analysis Edited by John P. Klein, Hans C. van Houwelingen, Joseph G. Ibrahim, and Thomas H. Scheike Handbook of Spatial Epidemiology Edited by Andrew B. Lawson, Sudipto Banerjee, Robert P. Haining, and María Dolores Ugarte Handbook of Missing Data Methodology Edited by Geert Molenberghs, Garrett Fitzmaurice, Michael G. Kenward, Anastasios Tsiatis, and Geert Verbeke Handbook of Neuroimaging Data Analysis Edited by Hernando Ombao, Martin Lindquist, Wesley Thompson, and John Aston Chapman & Hall/CRC Handbooks of Modern Statistical Methods Handbook of Neuroimaging Data Analysis Edited by Hernando Ombao University of California Irvine, USA Martin Lindquist Johns Hopkins University Baltimore, Maryland, USA Wesley Thompson Institute of Biological Psychiatry, Denmark University of California, San Diego, La Jolla, USA John Aston University of Cambridge, UK CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2017 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Printed on acid-free paper Version Date: 20160909 International Standard Book Number-13: 978-1-4822-2097-1 (Hardback) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the valid- ity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint. Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced, transmitted, or uti- lized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopy- ing, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers. For permission to photocopy or use material electronically from this work, please access www.copyright.com (http:// www.copyright.com/) or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400. CCC is a not-for-profit organization that provides licenses and registration for a variety of users. For organizations that have been granted a photocopy license by the CCC, a separate system of payment has been arranged. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe. Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com Contents List of Figures xix List of Tables xxxiii Preface xxxv Contributors xxxvii I Overview 1 1 Overview of the Handbook 3 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 A Brief History of Neuroimaging . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3 Modalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.4 Statistical Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.4.1 Preprocessing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.4.2 Methods in Structural Neuroimaging . . . . . . . . . . . . . . . . . . 8 1.4.3 Localizing Areas of Activation . . . . . . . . . . . . . . . . . . . . . 9 1.4.4 Brain Connectivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.4.5 Analysis of Electroencephalograms . . . . . . . . . . . . . . . . . . . 10 1.4.6 Multi-Modal Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.5 Additional Topics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.5.1 Meta-Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.5.2 Experimental Design in fMRI . . . . . . . . . . . . . . . . . . . . . . 11 1.5.3 Experimental Design in EEG . . . . . . . . . . . . . . . . . . . . . . 11 1.5.4 Imaging Genetics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 II Imaging Modalities 15 2 Positron Emission Tomography: Some Analysis Methods 17 John Aston 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.2 Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2.3 Tracer Kinetic Modelling: Compartmental Approaches . . . . . . . . . . . . 20 2.3.1 Plasma Input Functions Models. . . . . . . . . . . . . . . . . . . . . 20 2.3.2 Reference Tissue Models . . . . . . . . . . . . . . . . . . . . . . . . . 23 2.4 Estimation and Statistical Methods . . . . . . . . . . . . . . . . . . . . . . 24 2.4.1 Non-Linear Least Squares . . . . . . . . . . . . . . . . . . . . . . . . 24 2.4.2 Basis Function Methods . . . . . . . . . . . . . . . . . . . . . . . . . 25 2.4.3 Model Selection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 vii viii Contents 2.5 Other Modelling Approaches . . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.5.1 Graphical Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.5.2 Bayesian Approaches . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 2.5.3 Non-Parametric Approaches . . . . . . . . . . . . . . . . . . . . . . . 28 2.6 Further Modelling Considerations . . . . . . . . . . . . . . . . . . . . . . . 29 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 3 Structural Magnetic Resonance Imaging 35 Wesley K. Thompson, Hauke Bartsch, and Martin A. Lindquist 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 3.2 Image Acquisition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 3.2.1 MRI Physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 3.2.2 Image Reconstruction . . . . . . . . . . . . . . . . . . . . . . . . . . 38 3.2.3 MRI Sequences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 3.2.4 MRI Artifacts. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 3.3 Multi-Subject MRI . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 3.3.1 Registration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 3.3.1.1 Volumetric Registration . . . . . . . . . . . . . . . . . . . . 41 3.3.1.2 Surface-Based Registration . . . . . . . . . . . . . . . . . . 41 3.3.2 Segmentation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 3.3.2.1 Foreground from Background Segmentation . . . . . . . . . 43 3.3.2.2 Brain Tissue Segmentation . . . . . . . . . . . . . . . . . . 44 3.3.3 Templates and Atlases . . . . . . . . . . . . . . . . . . . . . . . . . . 45 3.3.4 Morphometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 3.3.4.1 Subcortical Volumes . . . . . . . . . . . . . . . . . . . . . . 46 3.3.4.2 Voxel-Based Morphometry . . . . . . . . . . . . . . . . . . 47 3.3.4.3 Deformation- and Tensor-Based Morphometry . . . . . . . 47 3.3.4.4 Surface-Based Measures . . . . . . . . . . . . . . . . . . . . 48 3.3.4.5 Other Morphometric Measures . . . . . . . . . . . . . . . . 49 3.3.5 Statistical Analyses . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 3.3.5.1 Statistical Parametric Maps . . . . . . . . . . . . . . . . . 51 3.4 Miscellaneous Topics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 3.4.1 Structural Integrity and Tumor Detection . . . . . . . . . . . . . . . 51 3.4.2 Anatomical References for Functional Imaging . . . . . . . . . . . . 52 3.4.3 Multi-Center Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 3.4.4 Imaging Genetics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 3.5 Glossary of MRI Terms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 4 Diffusion Magnetic Resonance Imaging (dMRI) 65 Jian Cheng and Hongtu Zhu 4.1 Introduction to Diffusion MRI . . . . . . . . . . . . . . . . . . . . . . . . . 66 4.1.1 Diffusion Weighted Imaging (DWI) . . . . . . . . . . . . . . . . . . . 66 4.1.1.1 Diffusion Gradient Sequence . . . . . . . . . . . . . . . . . 66 4.1.1.2 Free Diffusion . . . . . . . . . . . . . . . . . . . . . . . . . 67 4.1.1.3 Restricted Diffusion . . . . . . . . . . . . . . . . . . . . . . 67 4.1.2 Diffusion Tensor Imaging (DTI). . . . . . . . . . . . . . . . . . . . . 69 4.1.2.1 Scalar Indices and Eigenvectors of Diffusion Tensor . . . . 69 4.2 High Angular Resolution Diffusion Imaging (HARDI) . . . . . . . . . . . . 70 4.2.1 Generalization of Diffusion Tensor Imaging . . . . . . . . . . . . . . 70 4.2.1.1 Mixture of Tensor Model . . . . . . . . . . . . . . . . . . . 70 Contents ix 4.2.1.2 Generalized DTI (GDTI) . . . . . . . . . . . . . . . . . . . 71 4.2.1.3 High-Order Tensor Model, ADC-Based Model . . . . . . . 72 4.2.2 Diffusion Spectrum Imaging (DSI) . . . . . . . . . . . . . . . . . . . 73 4.2.3 Hybrid Diffusion Imaging (HYDI) . . . . . . . . . . . . . . . . . . . 74 4.2.4 Q-Ball Imaging (QBI) . . . . . . . . . . . . . . . . . . . . . . . . . . 75 4.2.4.1 Original Q-Ball Imaging. . . . . . . . . . . . . . . . . . . . 75 4.2.4.2 Exact Q-Ball Imaging . . . . . . . . . . . . . . . . . . . . . 76 4.2.5 Diffusion Orientation Transform (DOT) . . . . . . . . . . . . . . . . 77 4.2.6 Spherical Deconvolution (SD) . . . . . . . . . . . . . . . . . . . . . . 77 4.2.7 Diffusion Propagator Imaging (DPI) . . . . . . . . . . . . . . . . . . 77 4.2.8 Simple Harmonic Oscillator Reconstruction and Estimation (SHORE) 78 4.2.9 Spherical Polar Fourier Imaging (SPFI) . . . . . . . . . . . . . . . . 78 4.3 Reconstruction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 4.3.1 Noise Components and Voxelwise Estimation Methods . . . . . . . . 79 4.3.2 Spatial-Adaptive Estimation Methods . . . . . . . . . . . . . . . . . 80 4.4 Tractography Algorithms . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 4.5 Uncertainty in Estimated Diffusion Quantities . . . . . . . . . . . . . . . . 86 4.6 Sampling Mechanisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 4.7 Registration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 4.8 Group Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 4.9 Public Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 4.9.1 Datasets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 4.9.2 Software . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 4.10 Glossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 5 A Tutorial for Multisequence Clinical Structural Brain MRI 109 Ciprian Crainiceanu, Elizabeth M. Sweeney, Ani Eloyan, and Russell T. Shinohara 5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110 5.1.1 What Are These Images? . . . . . . . . . . . . . . . . . . . . . . . . 112 5.1.2 How Can We Handle sMRI?. . . . . . . . . . . . . . . . . . . . . . . 113 5.1.3 What Are Some Major Pitfalls When Starting Working on sMRI? . 114 5.2 Data Structure and Intuitive Description of Associated Problems . . . . . . 114 5.3 Acquisition and Reconstruction . . . . . . . . . . . . . . . . . . . . . . . . 115 5.4 Preprocessing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116 5.4.1 Inhomogeneity Correction . . . . . . . . . . . . . . . . . . . . . . . . 117 5.4.1.1 Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118 5.4.1.2 Practical Approaches, Software, and Application to Data . 118 5.4.2 Skull Stripping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 5.4.2.1 Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 5.4.2.2 Practical Approaches, Software, and Application to Data . 119 5.4.3 Interpolation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 5.4.3.1 Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 5.4.3.2 Practical Approaches, Software, and Application to Data . 121 5.4.4 Spatial Registration . . . . . . . . . . . . . . . . . . . . . . . . . . . 121 5.4.4.1 Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121 5.4.4.2 Practical Approaches, Software, and Application to Data . 123 5.4.5 Intensity Normalization . . . . . . . . . . . . . . . . . . . . . . . . . 126 5.4.5.1 Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 5.4.5.2 Practical Approaches, Software, and Application to Data . 127 x Contents 5.5 Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 5.5.1 Lesion Segmentation . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 5.5.2 Lesion Mapping. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130 5.5.3 Longitudinal and Cross Sectional Intensity Analysis . . . . . . . . . 131 5.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133 6 Principles of Functional Magnetic Resonance Imaging 139 Martin A. Lindquist and Tor D. Wager 6.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 6.2 The Basics of fMRI Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 6.2.1 Principles of Magnetic Resonance Signal Generation . . . . . . . . . 141 6.2.1.1 The MRI Scanner . . . . . . . . . . . . . . . . . . . . . . . 141 6.2.1.2 Basic MR Physics . . . . . . . . . . . . . . . . . . . . . . . 142 6.2.1.3 Image Contrast. . . . . . . . . . . . . . . . . . . . . . . . . 143 6.2.2 Image Formation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144 6.2.3 From MRI to fMRI. . . . . . . . . . . . . . . . . . . . . . . . . . . . 146 6.3 BOLD fMRI . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148 6.3.1 Understanding BOLD fMRI . . . . . . . . . . . . . . . . . . . . . . . 148 6.3.2 Spatial Limitations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150 6.3.3 Temporal Limitations . . . . . . . . . . . . . . . . . . . . . . . . . . 151 6.3.4 Acquisition Artifacts . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 6.4 Modeling Signal and Noise in fMRI . . . . . . . . . . . . . . . . . . . . . . 153 6.4.1 BOLD Signal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153 6.4.2 Noise and Nuisance Signal . . . . . . . . . . . . . . . . . . . . . . . . 155 6.5 Experimental Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157 6.6 Preprocessing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 158 6.7 Data Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 160 6.7.1 Localization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 160 6.7.2 Connectivity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162 6.7.3 Prediction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164 6.8 Resting-State fMRI . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165 6.9 Data Format, Databases, and Software . . . . . . . . . . . . . . . . . . . . 166 6.10 Future Developments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169 7 Electroencephalography (EEG): Neurophysics, Experimental Methods, and Signal Processing 175 Michael D. Nunez, Paul L. Nunez, and Ramesh Srinivasan 7.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175 7.2 The Neurophysics of EEG . . . . . . . . . . . . . . . . . . . . . . . . . . . 177 7.3 Synchronization and EEG . . . . . . . . . . . . . . . . . . . . . . . . . . . 180 7.4 Recording EEG . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 182 7.5 Preprocessing EEG . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183 7.6 Artifact Removal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184 7.7 Stationary Data Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187 7.8 Nonstationary Data Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . 194 7.9 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197

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