Measurement of cardiac deformations from MRI: Physical and mathematical models
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| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer Acad. Publ.
2001
|
| Series: | Computational imaging and vision
23 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 320 S. graph. Darst. |
| ISBN: | 140200222X |
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MARC
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| 245 | 1 | 0 | |a Measurement of cardiac deformations from MRI |b Physical and mathematical models |c ed. by Amir A. Amini ... |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer Acad. Publ. |c 2001 | |
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| 490 | 1 | |a Computational imaging and vision |v 23 | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Heart |x Contraction |x Mathematical models | |
| 650 | 4 | |a Heart |x Magnetic resonance imaging |x Mathematical models | |
| 650 | 4 | |a Magnetic Resonance Imaging |x methods | |
| 650 | 4 | |a Models, Cardiovascular | |
| 650 | 4 | |a Myocardial Contraction |x physiology | |
| 650 | 4 | |a Myocardium |x Mathematical models | |
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Record in the Search Index
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| adam_text | Contents
Contributors xi
Preface xiii
1 Regional Stress and Strain in Healthy and Diseased Ventricular Myocardium
1.1 Introduction 1
1.2 Ventricular Geometry and Structure 2
1.3 Regional Myocardial Mechanics 3
1.4 Engineering Models of Wall Stress 7
1.5 Analyzing Wall Strain Distributions 8
1.6 Regional Strain Distributions in Disease 9
1.7 Future Directions 10
Acknowledgments 11
References for Chapter 1 11
2 Clinical Applications of Cardiac Tagging
2.1 Introduction 17
2.2 Imaging Techniques 18
2.3 Tagged Image Data Analysis 19
2.4 MR Tagging in Normal Human Heart 22
2.5 MR Tagging in Ischemic Heart Disease 24
2.6 MR Tagging in Left Ventricular Hypertrophy 28
2.7 Cardiomyopathies 29
2.8 Right Ventricular Mechanics 30
2.9 Pericardial Constriction 30
2.10 Summary 30
Acknowledgments 31
References for Chapter 2 31
3 Finite Element Modeling for Thrce Dimensional Motion Reconstruction and
Analysis
3.1 Introduction 37
3.2 The Finite Element Model 38
3.2.1 Basis Functions 39
v
vi CONTENTS
3.2.2 Global Parameters 40
3.2.3 Coordinate Systems 40
3.2.4 Kinematics 42
3.3 Model Tags: 3D Formulation 43
3.3.1 Geometric Fits 43
3.3.2 Model Tag 3D Fitting 44
3.3.3 Image Analysis 45
3.3.4 Minimization 46
3.4 Reconstruction of RV Surface Deformation 48
3.4.1 RV Free wall geometry 49
3.4.2 Model Tags: Surface Formulation 49
3.5 Principal Component Analysis 51
3.5.1 Generating the Data Set 53
3.6 PCA of Normal Geometry and Deformation 53
3.7 Future Work 55
References for Chapter 3 56
4 Modeling and analysis of the RV and LV from MRI SPAMM
4.1 Introduction 59
4.2 Biventricular Model Geometry 61
4.2.1 RV Contour Segmentation 62
4.2.2 Processing Contour Data 62
4.2.3 Finite element mesh generation 64
4.3 3D RV and LV motion reconstruction 64
4.3.1 MRI Input Data 65
4.3.2 Model Dynamics 65
4.3.3 External Forces from SPAMM data 67
4.3.4 External forces From Contour Data 69
4.3.5 Internal Forces Due To Stiffness 70
4.4 Motion and Deformation Analysis 72
4.4.1 Motion Parameters 72
4.4.2 Data Analysis 73
4.5 Results 74
4.5.1 Model fitting behavior 75
4.5.2 Validation studies 75
4.5.3 Clinical Data 79
4.6 Discussion 84
4.7 Conclusions and Future Work 85
Acknowledgments 85
Appendix 85
Finite Element Shape Functions 85
Strain Calculation Using Finite Elements 86
References for Chapter 4 89
CONTENTS vii
5 Motion Analysis of the Whole Heart
5.1 Motivation and Background 91
5.2 Introduction and Background 92
5.2.1 Anatomy and Physiology 93
5.2.2 Studying Right Ventricular and Atrial Dynamics 94
5.2.3 MR Imaging of Right Ventricular and Atrial Function ... 95
5.2.4 B Spline based Motion Tracking 97
5.3 Methods 98
5.3.1 MR Imaging 98
5.3.2 Ventricular Motion Analysis 100
5.3.3 Atrial Surface Fitting 101
5.3.4 Calculation of the Atrial Motion Field 103
5.4 Results 106
5.4.1 Motion Analysis of Right and Left Ventricles 106
5.4.2 Motion Analysis of Atria 108
5.5 Discussion 109
5.6 Conclusion 112
Acknowledgments 113
References for Chapter 5 113
6 Harmonic Phase MRI
6.1 Introduction 119
6.2 A Harmonic Model of Tagged MR Images 120
6.3 HARP Motion Measurement Principles 123
6.3.1 Apparent Motion 125
6.3.2 Spatial and Temporal Derivatives 126
6.4 CINE HARP (CHARP) Methods 127
6.4.1 Tracking Motion 127
6.4.2 Lagrangian Strain 130
6.4.3 Velocity Fields 134
6.4.4 Strain rate Maps 137
6.5 Single shot HARP (SHARP) Methods 139
6.5.1 Tagline Synthesis 139
6.5.2 Radial and Circumferential Eulerian Strain 140
6.5.3 Minimum and Maximum Eulerian Strain 142
6.5.4 Contraction Angle 145
6.6 Combining CHARP and SHARP Methods 146
6.7 Summary and Conclusion 146
Acknowledgments 148
References for Chapter 6 149
7 Automated Tag Detection
7.1 Introduction 151
7.2 Signal Models 152
viii CONTENTS
7.2.1 Tagged Myocardium 153
7.2.2 Untagged Tissue 155
7.3 Tag Center Estimation 156
7.3.1 Single Tag Center Estimation 156
7.3.2 Tag Line Estimation 158
7.4 Hypothesis Testing 160
7.4.1 Myocardium Detection 161
7.4.2 Tag Line Detection 161
7.4.3 Removal of False Tag Points 162
7.5 Algorithm Implementation 163
7.5.1 Black Blood Images 163
7.5.2 White Blood Images 166
7.6 In Vivo Experiments 169
7.6.1 Imaging Protocol 169
7.6.2 Black Blood Images 169
7.6.3 White Blood Images 171
7.7 Discussion 171
Acknowledgments 177
Appendix 178
Likelihood Function Derivative 178
References for Chapter 7 179
8 Analysis of Tagged MR Cardiac Images with B spline Models
8.1 Introduction 183
8.2 B spline basics 186
8.2.1 Definitions and Notations 186
8.2.2 Properties 187
8.3 Coupled B snake Grids 188
8.4 Constrained Thin Plate Spline Reconstruction 190
8.4.1 Solution Using Subspace Approximations 193
8.4.2 Validations 196
8.4.3 Myocardial Strains 203
8.5 Measurement of 3D Motion of Myocardial Beads 204
8.5.1 Imaging Protocol 205
8.5.2 Reconstruction of Tag Planes 206
8.5.3 Computing 3D Coordinates of Myocardial Beads 207
8.5.4 Validations 213
8.6 Conclusions 214
8.7 Acknowledgments 215
References for Chapter 8 215
9 MR Physics and Imaging of Phase Contrast MRI
9.1 Introduction 219
9.2 Basic Principles of Phase Contrast MRI 220
CONTENTS ix
9.2.1 Flow and Motion Compensation 221
9.2.2 Velocity Encoding 221
9.3 Implementation issues 223
9.3.1 Gradient Echo imaging 223
9.3.2 Respiratory Motion 224
9.3.3 Segmented Scans 225
9.3.4 Black Blood Preparation 225
9.3.5 Measurement Timing and Pulse Sequence Design 226
9.3.6 Multi Echo Approaches 228
9.3.7 Measurement Timing 230
9.3.8 View Sharing Approaches 231
9.4 Data Processing 232
9.5 Results 237
9.5.1 Volunteers 237
9.5.2 Patients 238
9.6 Discussion 243
Appendix 245
Signal Phase 245
References for Chapter 9 246
10 Myocardial Spatiotemporal Tracking
10.1 Introduction 257
10.1.1 Imaging Cardiac Motion 258
10.1.2 Mapping Velocity With Phase Contrast MRI 259
10.1.3 Analyzing Motion 262
10.2 DMESH Motion/Strain Mapping 264
10.2.1 The Spatiotemporal Finite Element Model 265
10.2.2 The DMESH Tracking Algorithm 267
10.2.3 Reproducibility Analysis 268
10.2.4 Lagrangian Strain Field Computation 269
10.2.5 Extended Use of DMESH Tracking 270
10.3 Experiments 271
10.3.1 Computer simulation studies 271
10.3.2 In vitro and in vivo studies 275
10.3.3 Combined use of displacement and velocity data 277
10.4 Discussion 280
Acknowledgments 282
References for Chapter 10 283
11 Computational Platforms for Integrated Cardiac Image Analysis
11.1 Introduction 289
11.2 Obtaining Estimates of Cardiac Displacements 290
11.2.1 Methods Relying on Magnetic Resonance Tagging 290
11.2.2 Methods Relying on Phase Contrast MRI 291
x CONTENTS
11.2.3 Computer Vision Based Methods 292
11.2.4 The Shape Based Tracking Approach 293
11.3 Modeling used for Interpolation and Smoothing 296
11.3.1 The Strain Tensor 297
11.3.2 Material Models 300
11.3.3 A Bayesian Estimation Framework 303
11.4 Experimental Results 305
11.4.1 Pre and post occlusion comparison 306
11.4.2 Shape Based Estimates vs MR Tagging 308
11.5 Future Research Directions 309
Acknowledgments 310
References for Chapter 11 310
Index 315
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| indexdate | 2024-07-09T19:03:03Z |
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| series2 | Computational imaging and vision |
| spelling | Measurement of cardiac deformations from MRI Physical and mathematical models ed. by Amir A. Amini ... Dordrecht [u.a.] Kluwer Acad. Publ. 2001 XV, 320 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Computational imaging and vision 23 Mathematisches Modell Heart Contraction Mathematical models Heart Magnetic resonance imaging Mathematical models Magnetic Resonance Imaging methods Models, Cardiovascular Myocardial Contraction physiology Myocardium Mathematical models Herzfehler (DE-588)4024646-2 gnd rswk-swf Kernspintomografie (DE-588)4120806-7 gnd rswk-swf Herzfehler (DE-588)4024646-2 s Kernspintomografie (DE-588)4120806-7 s DE-604 Amini, Amir A. Sonstige oth Computational imaging and vision 23 (DE-604)BV010119097 23 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009880858&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Measurement of cardiac deformations from MRI Physical and mathematical models Computational imaging and vision Mathematisches Modell Heart Contraction Mathematical models Heart Magnetic resonance imaging Mathematical models Magnetic Resonance Imaging methods Models, Cardiovascular Myocardial Contraction physiology Myocardium Mathematical models Herzfehler (DE-588)4024646-2 gnd Kernspintomografie (DE-588)4120806-7 gnd |
| subject_GND | (DE-588)4024646-2 (DE-588)4120806-7 |
| title | Measurement of cardiac deformations from MRI Physical and mathematical models |
| title_auth | Measurement of cardiac deformations from MRI Physical and mathematical models |
| title_exact_search | Measurement of cardiac deformations from MRI Physical and mathematical models |
| title_full | Measurement of cardiac deformations from MRI Physical and mathematical models ed. by Amir A. Amini ... |
| title_fullStr | Measurement of cardiac deformations from MRI Physical and mathematical models ed. by Amir A. Amini ... |
| title_full_unstemmed | Measurement of cardiac deformations from MRI Physical and mathematical models ed. by Amir A. Amini ... |
| title_short | Measurement of cardiac deformations from MRI |
| title_sort | measurement of cardiac deformations from mri physical and mathematical models |
| title_sub | Physical and mathematical models |
| topic | Mathematisches Modell Heart Contraction Mathematical models Heart Magnetic resonance imaging Mathematical models Magnetic Resonance Imaging methods Models, Cardiovascular Myocardial Contraction physiology Myocardium Mathematical models Herzfehler (DE-588)4024646-2 gnd Kernspintomografie (DE-588)4120806-7 gnd |
| topic_facet | Mathematisches Modell Heart Contraction Mathematical models Heart Magnetic resonance imaging Mathematical models Magnetic Resonance Imaging methods Models, Cardiovascular Myocardial Contraction physiology Myocardium Mathematical models Herzfehler Kernspintomografie |
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