1 FROM CELLULAR ELECTROPHYSIOLOGY TO ELECTROCARDIOGRAPHY |
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1 | (42) |
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Nitish V. Thakor, Vivek Iyer, and Mahesh B. Shenai |
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1 | (42) |
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3 | (14) |
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1.1.1 Voltage Gating Ion Channel Kinetics (Hodgkin-Huxley Formalism) |
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3 | (4) |
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1.1.2 Modeling the Cardiac Action Potential |
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7 | (3) |
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1.1.3 Modeling Pathologic Action Potentials |
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10 | (7) |
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17 | (12) |
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1.2.1 Cell-cell Coupling and Linear Cable Theory |
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17 | (1) |
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1.2.2 Multidimensional Networks |
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18 | (2) |
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1.2.3 Reconstruction of the Local Extracellular Electrogram (Forward Problem) |
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20 | (3) |
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1.2.4 Modeling Pathology in Cellular Networks |
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23 | (6) |
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1.3 Modeling Pathology in Three-dimensional and Whole Heart Models |
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29 | (7) |
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1.3.1 Myocardial Ischemia |
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31 | (1) |
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1.3.2 Preexcitation Studies |
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31 | (3) |
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1.3.3 Hypertrophic Cardiomyopathy |
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34 | (1) |
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1.3.4 Drug Integration in Three-dimensional Whole Heart Models |
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35 | (1) |
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1.3.5 Genetic Integration in Three-dimensional Whole Heart Models |
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35 | (1) |
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36 | (2) |
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38 | (5) |
2 THE FORWARD PROBLEM OF ELECTROCARDIOGRAPHY: THEORETICAL UNDERPINNINGS AND APPLICATIONS |
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43 | (38) |
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43 | (1) |
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2.2 Dipole Source Representations |
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44 | (1) |
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2.2.1 Fundamental Equations |
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44 | (2) |
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2.2.2 The Bidomain Myocardium |
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46 | (7) |
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2.3 Torso Geometry Representations |
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53 | (1) |
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2.4 Solution Methodologies for the Forward problem |
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53 | (1) |
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54 | (4) |
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58 | (3) |
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2.4.3 Combination Methods |
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61 | (1) |
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2.5 Applications of the Forward Problem |
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61 | (1) |
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2.5.1 A Computer Heart Models |
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62 | (8) |
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2.5.2 Effects of Torso Conductivity Inhomogeneities |
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70 | (2) |
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72 | (3) |
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75 | (1) |
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75 | (6) |
3 WHOLE HEART MODELING AND COMPUTER SIMULATION |
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81 | (38) |
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81 | (1) |
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3.2 Methodology in 3D Whole Heart Modeling |
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82 | (1) |
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3.2.1 Heart-torso Geometry Modeling |
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82 | (1) |
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3.2.2 Inclusion of Specialized Conduction System |
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83 | (2) |
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3.2.3 Incorporating Rotating Fiber Directions |
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85 | (4) |
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3.2.4 Action Potentials and Electrophysiologic Properties |
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89 | (5) |
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94 | (6) |
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3.2.6 Cardiac Electric Sources and Surface ECG Potentials |
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100 | (3) |
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3.3 Computer Simulations and Applications |
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103 | (1) |
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3.3.1 Simulation of the Normal Electrocardiogram |
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103 | (4) |
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3.3.2 Simulation of ST-T Waves in Pathologic Conditions |
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107 | (1) |
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3.3.3 Simulation of Myocardial Infarction |
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108 | (2) |
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3.3.4 Simulation of Pace Mapping |
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110 | (1) |
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3.3.5 Spiral Waves-A New Hypothesis of Ventricular Fibrillation |
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110 | (1) |
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3.3.6 Simulation of Antiarrhythmic Drug Effect |
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110 | (1) |
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111 | (3) |
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114 | (5) |
4 HEART SURFACE ELECTROCARDIOGRAPHIC INVERSE SOLUTIONS |
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119 | (42) |
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119 | (1) |
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4.1.1 The Rationale for Imaging Cardiac Electrical Function |
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120 | (1) |
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4.1.2 A Historical Perspective |
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120 | (3) |
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4.1.3 Notation and Conventions |
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123 | (1) |
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4.2 The Basic Model and Source Formulations |
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123 | (5) |
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4.3 Heart Surface Inverse Problems Methodology |
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128 | (1) |
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4.3.1 Solution Nonuniqueness and Instability |
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129 | (3) |
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4.3.2 Linear Estimation and Regularization |
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132 | (3) |
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4.3.3 Stochastic Processes and Time Series of Inverse Problems |
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135 | (3) |
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4.4 Epicardial Potential Imaging |
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138 | (1) |
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4.4.1 Statistical Regularization |
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138 | (1) |
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4.4.2 Tikhonov Regularization and Its Modifications |
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139 | (2) |
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141 | (1) |
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4.4.4 Specific Constraints in Regularization |
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142 | (1) |
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4.4.5 Nonlinear Regularization Methodology |
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143 | (1) |
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4.4.6 An Augmented Source Formulation |
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143 | (1) |
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4.4.7 Different Methods for Regularization Parameter Selection |
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143 | (1) |
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4.4.8 The Body Surface Laplacian Approach |
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144 | (1) |
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4.4.9 Spatiotemporal Regularization |
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145 | (1) |
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4.4.10 Recent in Vitro and in Vivo Work |
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146 | (1) |
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4.5 Endocardial Potential Imaging |
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147 | (2) |
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4.6 Imaging Features of the Action Potential |
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149 | (1) |
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4.6.1 Myocardial Activation Imaging |
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149 | (5) |
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4.6.2 Imaging Other Features of the Action Potential |
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154 | (1) |
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155 | (1) |
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156 | (5) |
5 THREE-DIMENSIONAL ELECTROCARDIOGRAPHIC TOMOGRAPHIC IMAGING |
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161 | (22) |
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161 | (2) |
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5.2 Three-Dimensional Myocardial Dipole Source Imaging |
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163 | (1) |
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5.2.1 Equivalent Moving Dipole Model |
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163 | (1) |
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5.2.2 Equivalent Dipole Distribution Model |
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163 | (1) |
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5.2.3 Inverse Estimation of 3D Dipole Distribution |
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164 | (1) |
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5.2.4 Numerical Example of 3D Myocardial Dipole Source Imaging |
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165 | (2) |
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5.3 Three-Dimensional Myocardial Activation Imaging |
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167 | (1) |
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5.3.1 Outline of the Heart-Model based 3D Activation Time Imaging Approach |
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167 | (1) |
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5.3.2 Computer Heart Excitation Model |
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168 | (1) |
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5.3.3 Preliminary Classification System |
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169 | (1) |
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5.3.4 Nonlinear Optimization System |
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170 | (1) |
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5.3.5 Computer Simulation |
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171 | (3) |
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174 | (1) |
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5.4 Three-Dimensional Myocardial Transmembrane Potential Imaging |
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175 | (3) |
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178 | (2) |
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180 | (3) |
6 BODY SURFACE LAPLACIAN MAPPING OF BIOELECTRIC SOURCES |
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183 | (30) |
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183 | (1) |
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6.1.1 High-resolution ECG and EEG |
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183 | (1) |
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6.1.2 Biophysical Background of the Surface Laplacian |
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184 | (2) |
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6.2 Surface Laplacian Estimation Techniques |
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186 | (1) |
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6.2.1 Local Laplacian Estimates |
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186 | (2) |
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6.2.2 Global Laplacian Estimates |
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188 | (2) |
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6.2.3 Surface Laplacian Based Inverse Problem |
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190 | (2) |
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6.3 Surface Laplacian Imaging of Heart Electrical Activity |
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192 | (1) |
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6.3.1 High-resolution Laplacian ECG Mapping |
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192 | (1) |
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6.3.2 Performance Evaluation of the Spline Laplacian ECG |
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193 | (6) |
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6.3.3 Surface Laplacian Based Epicardial Inverse Problem |
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199 | (1) |
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6.4 Surface Laplacian Imaging of Brain Electrical Activity |
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200 | (1) |
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6.4.1 High-resolution Laplacian EEG Mapping |
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200 | (1) |
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6.4.2 Performance Evaluation of the Spline Laplacian EEG |
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200 | (6) |
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6.4.3 Surface Laplacian Based Cortical Imaging |
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206 | (2) |
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208 | (1) |
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209 | (4) |
7 NEUROMAGNETIC SOURCE RECONSTRUCTION AND INVERSE MODELING |
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213 | (38) |
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Kensuke Sekihara and Srikantan S. Nagarajan |
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213 | (1) |
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7.2 Brief Summary of Neuromagnetometer Hardware |
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214 | (1) |
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215 | (1) |
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215 | (1) |
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7.3.2 Estimation of the Sensor Lead Field |
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216 | (3) |
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7.3.3 Low-rank Signals and Their Properties |
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219 | (2) |
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7.4 Spatial Filter Formulation and Non-adaptive Spatial Filter Techniques |
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221 | (1) |
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7.4.1 Spatial Filter Formulation |
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221 | (1) |
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222 | (1) |
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7.4.3 Non-adaptive Spatial Filter |
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222 | (3) |
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7.4.4 Noise Gain and Weight Normalization |
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225 | (1) |
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7.5 Adaptive Spatial Filter Techniques |
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226 | (1) |
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7.5.1 Scalar Minimum-variance-based Beamformer Techniques |
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226 | (1) |
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7.5.2 Extension to Eigenspace-projection Beamformer |
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227 | (1) |
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7.5.3 Comparison between Minimum-variance and Eigenspace Beamformer Techniques |
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228 | (2) |
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7.5.4 Vector-type Adaptive Spatial Filter |
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230 | (2) |
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7.6 Numerical Experiments: Resolution Kernel Comparison between Adaptive and Non-adaptive Spatial Filters |
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232 | (1) |
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7.6.1 Resolution Kernel for the Minimum-norm Spatial Filter |
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232 | (2) |
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7.6.2 Resolution Kernel for the Minimum-variance Adaptive Spatial Filter |
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234 | (1) |
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7.7 Numerical Experiments: Evaluation of Adaptive Beamformer Performance |
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235 | (1) |
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7.7.1 Data Generation and Reconstruction Condition |
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235 | (3) |
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7.7.2 Results from Minimum-variance Vector Beamformer |
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238 | (1) |
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7.7.3 Results from the Vector-extended Borgiotti-Kaplan Beamformer |
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238 | (1) |
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7.7.4 Results from the Eigenspace Projected Vector-extended Borgiotti-Kaplan Beamformer |
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238 | (5) |
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7.8 Application of Adaptive Spatial Filter Technique to MEG Data |
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243 | (1) |
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7.8.1 Application to Auditory-somatosensory Combined Response |
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243 | (2) |
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7.8.2 Application to Somatosensory Response: High-resolution Imaging Experiments |
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245 | (2) |
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247 | (4) |
8 MULTIMODAL IMAGING FROM NEUROELECTROMAGNETIC AND FUNCTIONAL MAGNETIC RESONANCE RECORDINGS |
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251 | (30) |
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Fabio Babiloni and Febo Cincotti |
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251 | (1) |
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8.2 Generalities on Functional Magnetic Resonance Imaging |
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252 | (2) |
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8.2.1 Block-design and Event-Related fMRI |
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254 | (1) |
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254 | (1) |
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8.3.1 Acquisition of Volume Conductor Geometry |
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255 | (1) |
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8.3.2 Dipole Localization Techniques |
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256 | (1) |
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257 | (2) |
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8.3.4 Distributed Linear Inverse Estimation |
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259 | (2) |
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8.4 Multimodal Integration of EEG, MEG and fMRI Data |
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261 | (1) |
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8.4.1 Visible and Invisible Sources |
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261 | (1) |
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8.4.2 Experimental Design and Co-registration Issues |
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262 | (1) |
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8.4.3 Integration of EEG and MEG Data |
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263 | (4) |
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8.4.4 Functional Hemodynamic Coupling and Inverse Estimation of Source Activity |
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267 | (8) |
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275 | (1) |
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276 | (5) |
9 THE ELECTRICAL CONDUCTIVITY OF LIVING TISSUE: A PARAMETER IN THE BIOELECTRICAL INVERSE PROBLEM |
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281 | (40) |
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Maria J. Peters, Jeroen G. Stinstra, and Ibolya Leveles |
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281 | (1) |
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9.1.1 Scope of this Chapter |
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282 | (1) |
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9.1.2 Ambiguity of the Effective Conductivity |
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283 | (1) |
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9.1.3 Measuring the Effective Conductivity |
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284 | (3) |
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9.1.4 Temperature Dependence |
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287 | (1) |
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9.1.5 Frequency Dependence |
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287 | (2) |
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9.2 Models of Human Tissue |
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289 | (1) |
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9.2.1 Composites of Human Tissue |
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289 | (3) |
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9.2.2 Conductivities of Composites of Human Tissue |
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292 | (4) |
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9.2.3 Maxwell's Mixture Equation |
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296 | (4) |
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300 | (7) |
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307 | (1) |
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307 | (1) |
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308 | (2) |
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9.3.3 A Layer of Skeletal Muscle |
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310 | (1) |
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311 | (1) |
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9.4.1 Using Implanted Electrodes |
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311 | (1) |
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9.4.2 Combining Measurements of the Potential and the Magnetic Field |
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312 | (1) |
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9.4.3 Estimation of the Equivalent Conductivity using Impedance Tomography |
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312 | (1) |
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9.5 Upper and Lower Bounds |
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313 | (1) |
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314 | (1) |
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314 | (2) |
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316 | (1) |
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316 | (5) |
INDEX |
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321 | |