Computational cardiology: modeling of anatomy, electrophysiology, and mechanics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2004
|
| Schriftenreihe: | Lecture notes in computer science
2966 : tutorial |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 322 S. Ill., graph. Darst. |
| ISBN: | 3540219072 |
Internformat
MARC
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| 100 | 1 | |a Sachse, Frank B. |d 1966- |e Verfasser |0 (DE-588)120093170 |4 aut | |
| 245 | 1 | 0 | |a Computational cardiology |b modeling of anatomy, electrophysiology, and mechanics |c Frank B. Sachse |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2004 | |
| 300 | |a XVI, 322 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in computer science |v 2966 : tutorial | |
| 650 | 4 | |a Cardiologie - Recherche - Mathématiques | |
| 650 | 4 | |a Cardiologie - Recherche - Simulation par ordinateur | |
| 650 | 7 | |a Cardiologie |2 rasuqam | |
| 650 | 7 | |a Coeur |2 rasuqam | |
| 650 | 7 | |a Computermodellen |2 gtt | |
| 650 | 4 | |a Cur - Modèles mathématiques | |
| 650 | 4 | |a Cur - Propriétés mécaniques - Modèles mathématiques | |
| 650 | 4 | |a Cur - Propriétés mécaniques - Simulation par ordinateur | |
| 650 | 4 | |a Cur - Propriétés électriques - Modèles mathématiques | |
| 650 | 4 | |a Cur - Propriétés électriques - Simulation par ordinateur | |
| 650 | 4 | |a Cur - Simulation par ordinateur | |
| 650 | 7 | |a Hart- en vaatziekten |2 gtt | |
| 650 | 7 | |a Modèle mathématique |2 rasuqam | |
| 650 | 7 | |a Propriété mécanique |2 rasuqam | |
| 650 | 7 | |a Propriété électrique |2 rasuqam | |
| 650 | 7 | |a Simulation par ordinateur |2 rasuqam | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Cardiology |x Research |x Computer simulation | |
| 650 | 4 | |a Cardiology |x Research |x Mathematics | |
| 650 | 4 | |a Computer Simulation | |
| 650 | 4 | |a Heart |x Computer simulation | |
| 650 | 4 | |a Heart |x Electric properties |x Computer simulation | |
| 650 | 4 | |a Heart |x Electric properties |x Mathematical models | |
| 650 | 4 | |a Heart |x Mathematical models | |
| 650 | 4 | |a Heart |x Mechanical properties |x Computer simulation | |
| 650 | 4 | |a Heart |x Mechanical properties |x Mathematical models | |
| 650 | 4 | |a Heart |x anatomy & histology | |
| 650 | 4 | |a Heart |x physiology | |
| 650 | 4 | |a Models, Cardiovascular | |
| 650 | 0 | 7 | |a Kardiologie |0 (DE-588)4114141-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Bildverarbeitung |0 (DE-588)4006684-8 |2 gnd |9 rswk-swf |
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| 689 | 0 | 0 | |a Kardiologie |0 (DE-588)4114141-6 |D s |
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| 689 | 0 | 2 | |a Bildverarbeitung |0 (DE-588)4006684-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Lecture notes in computer science |v 2966 : tutorial |w (DE-604)BV000000607 |9 2966 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012039322&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-012039322 | |
Datensatz im Suchindex
| _version_ | 1820874933439299584 |
|---|---|
| adam_text |
Contents
Preface V
1 Introduction 1
1.1 Motivation 1
1.2 Organization 3
2 Mathematical and Numerical Foundation 5
2.1 Overview 5
2.2 Einstein Summation Convention 6
2.3 Tensor Algebra 6
2.4 Numerics of Systems of Linear Equations 9
2.4.1 Definition 9
2.4.2 Direct Methods 10
2.4.3 Iterative Methods 12
2.4.4 Singular Value Decomposition 20
2.5 Numerical Integration of Functions 21
2.5.1 Definition 21
2.5.2 Trapezoidal Rule 22
2.5.3 Simpson's Rule 22
2.5.4 Gauss Quadrature 23
2.6 Numerics of Ordinary Differential Equations 23
2.6.1 Definition 23
2.6.2 Euler Method 24
2.6.3 Runge Kutta Method 25
2.7 Numerics of Partial Differential Equations 27
2.7.1 Definition 27
2.7.2 Initial Values and Boundary Conditions 29
2.7.3 Finite Element Method 30
2.7.4 Finite Differences Method 43
VIII Contents
3 Theory of Electric Fields 49
3.1 Introduction 49
3.2 Physical Laws 50
3.2.1 Maxwell's Equations 50
3.2.2 Poisson's Equation for Stationary Current Fields 51
3.2.3 Electromagnetic Properties of Biological Tissues 52
3.3 Numerical Solution of Poisson's Equation 57
3.3.1 Finite Element Method 57
3.3.2 Finite Differences Method 63
4 Theory of Continuum Mechanics 69
4.1 Introduction 69
4.2 Definitions and Physical Laws 70
4.2.1 Deformation Gradient 70
4.2.2 Strain Tensors 73
4.2.3 Stress Tensors 74
4.2.4 Stress Equilibrium 75
4.2.5 Constitutive Relationships 78
4.3 Numerical Solution 83
4.3.1 Principle 83
4.3.2 Interpolation via Shape Functions 84
4.3.3 Determination of Element Equations 87
5 Digital Image Processing 91
5.1 Overview 91
5.2 Digital Representation of Images 92
5.3 Preprocessing 93
5.3.1 Overview 93
5.3.2 Transformation of Coordinates 93
5.3.3 Filtering Methods 98
5.4 Segmentation Techniques 102
5.4.1 Introduction 102
5.4.2 Thresholding 103
5.4.3 Region Growing 104
5.4.4 Watershed 105
5.4.5 Deformable Models 106
5.4.6 Manual Methods 112
5.5 Principal Component Transform 112
5.6 Texture Orientation 115
5.6.1 Introduction 115
5.6.2 Detection and Assignment 115
5.6.3 Interpolation 117
Contents IX
6 Cardiac Anatomy 119
6.1 Overview 119
6.2 Microscopic Structures and Molecular Organization 121
6.2.1 Myocytes 121
6.2.2 Gap Junctions 131
6.2.3 Connective Tissue Structures 133
6.3 Macroscopic Structures 134
6.3.1 Ventricles 134
6.3.2 Atria 137
6.3.3 Blood Vessels 139
6.3.4 Valves 139
6.3.5 System of Excitation Conduction and Initiation 140
6.3.6 Nervous System 141
6.4 Modeling of Anatomy 142
6.4.1 Overview 142
6.4.2 Analytical models 142
6.4.3 Imaging Systems and Data Sources 144
6.4.4 Modeling of Orientation and Lamination of Myocytes . . 145
6.4.5 Models from the Visible Human Project 146
6.4.6 Models from Magnetic Resonance Imaging 152
7 Cardiac Electrophysiology 157
7.1 Overview 157
7.2 Cellular Electrophysiology 158
7.2.1 Experimental Studies 158
7.2.2 Modeling of Cellular Components 164
7.2.3 Models of Cardiac Myocytes 171
7.3 Excitation Propagation 189
7.3.1 Experimental Studies 189
7.3.2 Modeling Approaches 194
7.3.3 Cellular Automata 195
7.3.4 Reaction Diffusion Systems 203
7.3.5 Comparison of Macroscopic Models
of Excitation Propagation 214
8 Cardiac Mechanics 221
8.1 Overview 221
8.2 Mechanical Properties of Myocardium 222
8.2.1 Experimental Studies 222
8.2.2 Modeling Approaches 224
8.3 Tension Development 236
8.3.1 Mechanisms 236
8.3.2 Experimental Studies 240
8.3.3 Mathematical Modeling Approaches 245
8.4 Mechanics in Anatomical Models 260
X Contents
9 Modeling of Cardiac Electro Mechanics 267
9.1 Introduction 267
9.2 Electrophysiology and Force Development of Single Cells 268
9.3 Cellular Automaton of Cardiac Force Development 273
9.4 Electro Mechanics of the Myocardium 275
9.4.1 Overview 275
9.4.2 Simulations 278
9.4.3 Limitations and Perspectives 287
Appendix 291
A Physical Units and Constants 291
B Differential Operators 292
C Model of Stretch Dependent Conductivity 293
C.I Model Assumptions 293
C.2 General Formulation 294
C.3 Restricted Formulation in Material Coordinate System . 296
C.4 Coordinate System Transformation 298
References 299
Index 323
List of Figures
1.1 Drawings of Leonardo da Vinci 2
1.2 Overview of modeling of cardiac electro mechanics 3
2.1 Exemplary quadratic form in two dimensions 14
2.2 Euler method for numerical solution of ordinary differential
equations 25
2.3 Second order Runge Kutta method for ordinary differential
equations 26
2.4 Exemplary two dimensional boundary value problem 29
2.5 Exemplary three dimensional finite elements 32
2.6 Natural coordinates in triangle, quadrilateral and tetrahedron . . 35
2.7 One dimensional shape functions 36
2.8 Two dimensional bilinear shape functions in quadrilaterals 38
2.9 Exemplary finite differences meshes 44
2.10 Exemplary node point numbering in two dimensional mesh . 46
3.1 Rotation in local coordinate system 54
3.2 Conductivity of biological tissues in dependency on frequency . . 56
3.3 Permittivity of biological tissues in dependency on frequency. 56
3.4 Exemplary coordinate transformation of hexahedron 60
3.5 Exemplary finite element with interpolation of potentials 61
3.6 Exemplary finite element with interpolation of current density
sources 62
3.7 Exemplary finite differences meshes for Poisson's equation 65
3.8 Exemplary node point numbering in three dimensional mesh . 66
4.1 Deformation in finite continuous medium 70
4.2 Stresses on faces of cube 75
4.3 Balance of forces 76
4.4 Hooke's law 79
4.5 Bulk modulus 80
II List of Figures
4.6 Shear modulus 80
4.7 Deformation and incremental displacements in hexahedron . 84
4.8 Calculation scheme of total Lagrangian incremental
formulation 88
5.1 Structure of digital image processing 92
5.2 Exemplary affine transformations 94
5.3 Exemplary radial basis function transformation 97
5.4 First and second order derivative filters 99
5.5 Comparison of average and median filter 100
5.6 Opening operator 101
5.7 Comparison of different edge detection niters 102
5.8 Segmentation of two dimensional image with thresholding 103
5.9 Segmentation of three dimensional image with thresholding . 104
5.10 Segmentation of three dimensional image with region growing . 105
5.11 Two dimensional image segmentation with active contour
model 106
5.12 Potential function for active contour models 107
5.13 Three dimensional image segmentation with active contour
model 109
5.14 Splitting of active contour model 110
5.15 Melting of active contour model Ill
5.16 Interactive deformation of triangle mesh (2D) 113
5.17 Interactive deformation of triangle mesh (3D) 113
5.18 Exemplary textures with orientation 115
5.19 Three dimensional editor for assignment of orientation 116
5.20 Exemplary one dimensional interpolations of orientations 118
5.21 Exemplary two dimensional interpolations of orientations 118
5.22 Exemplary three dimensional interpolation of orientations 118
6.1 Historical outline of human heart with vessels, lungs and
trachea 120
6.2 Isolated canine left ventricular myocyte 121
6.3 Cardiac myocytes of hamster with connective tissue and
capillaries 122
6.4 Molecular structure of phospholipid 123
6.5 Molecular structure of phospholipid bilayer (2D) 123
6.6 Molecular structure of phospholipid bilayer (3D) 124
6.7 Intracellular structures of mammalian cardiac muscle 126
6.8 Schematic view of sarcomere 126
6.9 Molecular structure of tropomyosin 127
6.10 Molecular structure of myosin II 128
6.11 Schematic view of myosin II 128
6.12 Schematic view of myosin and actin myosin filaments 129
6.13 Molecular structure of potassium channel Kcsa 131
List of Figures XIII
6.14 Microscopic section in canine left ventricular myocardium 132
6.15 Cardiac collagen network in the rabbit left ventricle 133
6.16 Molecular structure of collagen 133
6.17 Historical outline of opened human heart with atria and
ventricles 135
6.18 Superior view on ventricles and ostia of pig heart 135
6.19 Crista terminalis and musculi pectinati in opened right atrium
of pig 137
6.20 Historical photography of an opened left ventricle from cow . 141
6.21 Model of left ventricular anatomy 143
6.22 Model of papillary muscle 143
6.23 Exemplary cryosection of the Visible Female data set 144
6.24 Clipping of a cryosection from the Visible Female data set 147
6.25 Model of visible man heart 148
6.26 Model of visible man heart: Anatomy and conduction system . . 149
6.27 Model of visible female heart 150
6.28 Model of visible man heart with fiber orientation 152
6.29 Sections of three dimensional MRT data set from canine
heart 153
6.30 Anatomical model of canine heart 154
6.31 Anatomical model of canine heart with myocyte orientation . 155
7.1 Action voltage measured at membrane of cardiac myocyte 159
7.2 Action voltages in human cardiac cells 160
7.3 Double cell voltage clamp technique 163
7.4 Cell membrane as capacitor and resistor 164
7.5 Nernst equation: Fluxes, potentials, and concentrations 165
7.6 Goldman Hodgkin Katz equation: Fluxes, potentials, and
concentrations 166
7.7 Schematic diagram of Hodgkin Huxley model 168
7.8 Transmembrane voltage calculated with Hodgkin Huxley
model 169
7.9 Rate coefficients of sodium channels of Hodgkin Huxley
model 170
7.10 Rate coefficients of potassium channels of Hodgkin Huxley
model 171
7.11 Schematic diagram of Noble model 173
7.12 Schematic diagram of Beeler Reuter model 175
7.13 Results of simulations with Beeler Reuter model 177
7.14 Schematic diagram of Luo Rudy phase 1 model 178
7.15 Schematic diagram of Luo Rudy phase 2 model 178
7.16 Results of simulations with Luo Rudy phase 2 model 179
7.17 Schematic diagram of Demir Clark Murphey Giles model 181
7.18 Results of simulations with Demir Clark Murphey Giles
model 182
CIV List of Figures
7.19 Results of simulations with Priebe Beuckelmann model 183
7.20 Schematic overview of Noble Varghese Kohl Noble model 184
7.21 Results of simulations with Noble Varghese Kohl Noble
model 185
7.22 Stretch function for weighting of ion conductances 186
7.23 Simulations with varied static length of sarcomere (part 1) . 188
7.24 Simulations with varied static length of sarcomere (part 2) . 189
7.25 Simulation of initiation of action impulse by stretch (part 1) . 190
7.26 Simulation of initiation of action impulse by stretch (part 2) . 191
7.27 Exemplary electrocardiogram of normal, adult human 192
7.28 Electrograms measured at surface of papillary muscle 193
7.29 Modeling of electrical intercellular coupling 195
7.30 6 and 26 neighborhood of cells in cellular automaton 196
7.31 Excitation wave simulated with a cellular automaton 197
7.32 Transmembrane voltage distribution of sinus rhythm (surface) . 198
7.33 Transmembrane voltage distribution of sinus rhythm (volume) . 199
7.34 Current source density distribution of sinus rhythm (volume) . 200
7.35 Body surface potential map of sinus rhythm 201
7.36 Simulated electrocardiograms of sinus rhythm 202
7.37 Rotation of wave around obstacle simulated with cellular
automaton 203
7.38 Atrial flutter simulated with cellular automaton 204
7.39 Ventricular nutter simulated with cellular automaton 205
7.40 Simulated RF ablation in human right atrium with flutter 206
7.41 Bidomain modeling of cardiac electrophysiology 210
7.42 Freely rotating spiral waves simulated with bidomain model . . 212
7.43 Rotation of wave around obstacle simulated with bidomain
model 213
7.44 Model of heart wall in anatomical context 214
7.45 Simulation of electrophysiology in static model of heart wall . 215
7.46 Excitation propagation in static model of heart wall 216
7.47 Intracellular calcium concentration in static model
of heart wall 217
7.48 Simulation of scroll wave in static model of heart wall 218
8.1 Triaxial measurement shear test devices for soft tissue 224
8.2 Measurement system with epicardial suction 225
8.3 Strain energy density proposed by Demiray 227
8.4 Strain energy density proposed by Needleman et al 228
8.5 Strain energy densities of Hunter Nash Sands (ID) 233
8.6 Strain energy density proposed by Hunter Nash Sands (3D) 234
8.7 Tension derived from strain energy density
of Hunter Nash Sands 235
8.8 States and transitions of actin activated myosin II ATPase
cycle 238
List of Figures XV
8.9 Sliding of myosin and actin filament 239
8.10 Attachment to actin to myosin and its folding 239
8.11 System for measurement of force in single myocytes 244
8.12 Myocyte clamped between two carbon graphite fibers 244
8.13 Steady state simulations with Hunter McCulloch ter Keurs
model 249
8.14 State diagram of 1st Rice Winslow Hunter model 251
8.15 Sarcomere overlap function 252
8.16 Steady state simulations with 1st Rice Winslow Hunter model . 253
8.17 Dynamic simulations with 1st Rice Winslow Hunter model . 254
8.18 State diagram of 3rd Rice Winslow Hunter model 255
8.19 Steady state simulations with 3rd Rice Winslow Hunter model . 255
8.20 Dynamic simulations with 3rd Rice Winslow Hunter model . 256
8.21 State diagram of Glanzel Sachse Seemann model 258
8.22 Steady state simulations with Glanzel Sachse Seemann model . 259
8.23 Evaluation of cooperativity mechanisms 261
8.24 Left ventricle approximated with cubic elements 262
8.25 Slices with myocyte orientation (part 1) 262
8.26 Slices with myocyte orientation (part 2) 263
8.27 Deformed ventricle with myocyte orientation
( 45°, 45°, 45°) 264
8.28 Deformed ventricle with myocyte orientation ( 45°, 0°, 45°). 265
8.29 Deformed ventricle with myocyte orientation (0°, 0°, 0°) 266
9.1 Modeling of coupled cellular electro mechanics 268
9.2 Static simulations: Noble et al. and 1st Rice et al. model 269
9.3 Static simulations: Luo Rudy and 3rd Rice et al. model 270
9.4 Static simulations: Noble et al. and 3rd Rice et al. model 271
9.5 Static simulations: Priebe et al. and Glanzel et al. model 272
9.6 Cellular automaton of cardiac force development 273
9.7 Force development simulated by cellular automaton
(surface, part 1) 274
9.8 Force development simulated by cellular automaton
(surface, part 2) 275
9.9 Force development simulated by cellular automaton
(volume, part 1) 276
9.10 Force development simulated by cellular automaton
(volume, part 2) 277
9.11 Modeling of electro mechanics in myocardium 278
9.12 Coupling of myocytes with gap junctions and extracellular
space 279
9.13 Force development in static model of heart wall 279
9.14 Transmembrane voltage in fully coupled model 280
9.15 Normalized force and deformation in fully coupled model 281
9.16 Apical view on deformation in ventricular model (part 1) 284
XVI List of Figures
9.17 Apical view on deformation in ventricular model (part 2) 285
9.18 Ratio of endocardial volume in electro mechanical model 285
9.19 Parameters extracted from electro mechanical model (part 1) . 286
9.20 Parameters extracted from electro mechanical model (part 2) . 286
9.21 Deformation in biventricular model 287
9.22 Deformation in diffusion weighted MRT biventricular model . . 288
C.I Deformation of grid of resistors 293
C.2 Cube and deformed cube 297
List of Tables
2.1 Tensors of different order and type 8
2.2 Gauss quadrature 23
5.1 Linear, three dimensional filters and their 3x3x3 masks 99
7.1 Electrophysiological models of cardiac cells 172
8.1 Measurements of mechanical properties of myocardium 223
8.2 Models of mechanical properties of myocardium 226
8.3 Exemplary parameter set of Hunter Nash Sands model 234
8.4 Force measurements of cardiac muscle 241
8.5 Force measurements of cardiac myocytes 242
8.6 Mathematical models of force development in muscle
and myocytes 243
8.7 State variables of Landesberg Sideman force model 248
8.8 Tropomyosin and cross bridge state variables
of Rice et al. model 251
8.9 Ca2+ binding to troponin C state variables
of Rice et al. model 252
8.10 Rate coefficients 257
9.1 Parameters extracted from simulation with electro mechanical
model 283
A.I Physical units 291
A.2 Physical constants 291
XVI List of Figures
9.17 Apical view on deformation in ventricular model (part 2) 285
9.18 Ratio of endocardial volume in electro mechanical model 285
9.19 Parameters extracted from electro mechanical model (part 1) . 286
9.20 Parameters extracted from electro mechanical model (part 2) . 286
9.21 Deformation in biventricular model 287
9.22 Deformation in diffusion weighted MRT biventricular model . . 288
C.I Deformation of grid of resistors 293
C.2 Cube and deformed cube 297
List of Tables
2.1 Tensors of different order and type 8
2.2 Gauss quadrature 23
5.1 Linear, three dimensional filters and their 3x3x3 masks 99
7.1 Electrophysiological models of cardiac cells 172
8.1 Measurements of mechanical properties of myocardium 223
8.2 Models of mechanical properties of myocardium 226
8.3 Exemplary parameter set of Hunter Nash Sands model 234
8.4 Force measurements of cardiac muscle 241
8.5 Force measurements of cardiac myocytes 242
8.6 Mathematical models of force development in muscle
and myocytes 243
8.7 State variables of Landesberg Sideman force model 248
8.8 Tropomyosin and cross bridge state variables
of Rice et al. model 251
8.9 Ca2+ binding to troponin C state variables
of Rice et al. model 252
8.10 Rate coefficients 257
9.1 Parameters extracted from simulation with electro mechanical
model 283
A.I Physical units 291
A.2 Physical constants 291 |
| any_adam_object | 1 |
| author | Sachse, Frank B. 1966- |
| author_GND | (DE-588)120093170 |
| author_facet | Sachse, Frank B. 1966- |
| author_role | aut |
| author_sort | Sachse, Frank B. 1966- |
| author_variant | f b s fb fbs |
| building | Verbundindex |
| bvnumber | BV019287366 |
| callnumber-first | Q - Science |
| callnumber-label | QA75 |
| callnumber-raw | QA75 QP112.4 |
| callnumber-search | QA75 QP112.4 |
| callnumber-sort | QA 275 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SS 4800 |
| classification_tum | MED 410f MED 230f |
| ctrlnum | (OCoLC)55018591 (DE-599)BVBBV019287366 |
| dewey-full | 611/.12 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 611 - Human anatomy, cytology, histology |
| dewey-raw | 611/.12 |
| dewey-search | 611/.12 |
| dewey-sort | 3611 212 |
| dewey-tens | 610 - Medicine and health |
| discipline | Medizin |
| format | Book |
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| id | DE-604.BV019287366 |
| illustrated | Illustrated |
| indexdate | 2025-01-10T15:07:37Z |
| institution | BVB |
| isbn | 3540219072 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012039322 |
| oclc_num | 55018591 |
| open_access_boolean | |
| owner | DE-739 DE-91G DE-BY-TUM DE-384 DE-29T DE-706 DE-83 |
| owner_facet | DE-739 DE-91G DE-BY-TUM DE-384 DE-29T DE-706 DE-83 |
| physical | XVI, 322 S. Ill., graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in computer science |
| series2 | Lecture notes in computer science |
| spelling | Sachse, Frank B. 1966- Verfasser (DE-588)120093170 aut Computational cardiology modeling of anatomy, electrophysiology, and mechanics Frank B. Sachse Berlin [u.a.] Springer 2004 XVI, 322 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in computer science 2966 : tutorial Cardiologie - Recherche - Mathématiques Cardiologie - Recherche - Simulation par ordinateur Cardiologie rasuqam Coeur rasuqam Computermodellen gtt Cur - Modèles mathématiques Cur - Propriétés mécaniques - Modèles mathématiques Cur - Propriétés mécaniques - Simulation par ordinateur Cur - Propriétés électriques - Modèles mathématiques Cur - Propriétés électriques - Simulation par ordinateur Cur - Simulation par ordinateur Hart- en vaatziekten gtt Modèle mathématique rasuqam Propriété mécanique rasuqam Propriété électrique rasuqam Simulation par ordinateur rasuqam Mathematik Mathematisches Modell Cardiology Research Computer simulation Cardiology Research Mathematics Computer Simulation Heart Computer simulation Heart Electric properties Computer simulation Heart Electric properties Mathematical models Heart Mathematical models Heart Mechanical properties Computer simulation Heart Mechanical properties Mathematical models Heart anatomy & histology Heart physiology Models, Cardiovascular Kardiologie (DE-588)4114141-6 gnd rswk-swf Bildverarbeitung (DE-588)4006684-8 gnd rswk-swf Numerisches Modell (DE-588)4338132-7 gnd rswk-swf Kardiologie (DE-588)4114141-6 s Numerisches Modell (DE-588)4338132-7 s Bildverarbeitung (DE-588)4006684-8 s DE-604 Lecture notes in computer science 2966 : tutorial (DE-604)BV000000607 2966 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012039322&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sachse, Frank B. 1966- Computational cardiology modeling of anatomy, electrophysiology, and mechanics Lecture notes in computer science Cardiologie - Recherche - Mathématiques Cardiologie - Recherche - Simulation par ordinateur Cardiologie rasuqam Coeur rasuqam Computermodellen gtt Cur - Modèles mathématiques Cur - Propriétés mécaniques - Modèles mathématiques Cur - Propriétés mécaniques - Simulation par ordinateur Cur - Propriétés électriques - Modèles mathématiques Cur - Propriétés électriques - Simulation par ordinateur Cur - Simulation par ordinateur Hart- en vaatziekten gtt Modèle mathématique rasuqam Propriété mécanique rasuqam Propriété électrique rasuqam Simulation par ordinateur rasuqam Mathematik Mathematisches Modell Cardiology Research Computer simulation Cardiology Research Mathematics Computer Simulation Heart Computer simulation Heart Electric properties Computer simulation Heart Electric properties Mathematical models Heart Mathematical models Heart Mechanical properties Computer simulation Heart Mechanical properties Mathematical models Heart anatomy & histology Heart physiology Models, Cardiovascular Kardiologie (DE-588)4114141-6 gnd Bildverarbeitung (DE-588)4006684-8 gnd Numerisches Modell (DE-588)4338132-7 gnd |
| subject_GND | (DE-588)4114141-6 (DE-588)4006684-8 (DE-588)4338132-7 |
| title | Computational cardiology modeling of anatomy, electrophysiology, and mechanics |
| title_auth | Computational cardiology modeling of anatomy, electrophysiology, and mechanics |
| title_exact_search | Computational cardiology modeling of anatomy, electrophysiology, and mechanics |
| title_full | Computational cardiology modeling of anatomy, electrophysiology, and mechanics Frank B. Sachse |
| title_fullStr | Computational cardiology modeling of anatomy, electrophysiology, and mechanics Frank B. Sachse |
| title_full_unstemmed | Computational cardiology modeling of anatomy, electrophysiology, and mechanics Frank B. Sachse |
| title_short | Computational cardiology |
| title_sort | computational cardiology modeling of anatomy electrophysiology and mechanics |
| title_sub | modeling of anatomy, electrophysiology, and mechanics |
| topic | Cardiologie - Recherche - Mathématiques Cardiologie - Recherche - Simulation par ordinateur Cardiologie rasuqam Coeur rasuqam Computermodellen gtt Cur - Modèles mathématiques Cur - Propriétés mécaniques - Modèles mathématiques Cur - Propriétés mécaniques - Simulation par ordinateur Cur - Propriétés électriques - Modèles mathématiques Cur - Propriétés électriques - Simulation par ordinateur Cur - Simulation par ordinateur Hart- en vaatziekten gtt Modèle mathématique rasuqam Propriété mécanique rasuqam Propriété électrique rasuqam Simulation par ordinateur rasuqam Mathematik Mathematisches Modell Cardiology Research Computer simulation Cardiology Research Mathematics Computer Simulation Heart Computer simulation Heart Electric properties Computer simulation Heart Electric properties Mathematical models Heart Mathematical models Heart Mechanical properties Computer simulation Heart Mechanical properties Mathematical models Heart anatomy & histology Heart physiology Models, Cardiovascular Kardiologie (DE-588)4114141-6 gnd Bildverarbeitung (DE-588)4006684-8 gnd Numerisches Modell (DE-588)4338132-7 gnd |
| topic_facet | Cardiologie - Recherche - Mathématiques Cardiologie - Recherche - Simulation par ordinateur Cardiologie Coeur Computermodellen Cur - Modèles mathématiques Cur - Propriétés mécaniques - Modèles mathématiques Cur - Propriétés mécaniques - Simulation par ordinateur Cur - Propriétés électriques - Modèles mathématiques Cur - Propriétés électriques - Simulation par ordinateur Cur - Simulation par ordinateur Hart- en vaatziekten Modèle mathématique Propriété mécanique Propriété électrique Simulation par ordinateur Mathematik Mathematisches Modell Cardiology Research Computer simulation Cardiology Research Mathematics Computer Simulation Heart Computer simulation Heart Electric properties Computer simulation Heart Electric properties Mathematical models Heart Mathematical models Heart Mechanical properties Computer simulation Heart Mechanical properties Mathematical models Heart anatomy & histology Heart physiology Models, Cardiovascular Kardiologie Bildverarbeitung Numerisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012039322&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000607 |
| work_keys_str_mv | AT sachsefrankb computationalcardiologymodelingofanatomyelectrophysiologyandmechanics |