Preface to the Second Edition |
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xiii | |
Preface to the First Edition |
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xv | |
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1 | (3) |
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2 | (1) |
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1.1.2 Laminar and Turbulent Flow |
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3 | (1) |
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1.1.3 Compressible and Incompressible Flow |
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3 | (1) |
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1.2 Basic Equations of Fluid Mechanics |
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4 | (6) |
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1.2.1 Continuity Equation |
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4 | (2) |
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1.2.2 Equations of Motion |
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6 | (4) |
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1.3 Simplification of Basic Equations |
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10 | (3) |
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1.4 Initial and Boundary Conditions |
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13 | (1) |
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1.5 Dimensional Analysis in Fluid Mechanics |
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14 | (3) |
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Chapter 2 Circulatory Biofluid Mechanics |
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17 | (1) |
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2.2 The Circulatory System |
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18 | (7) |
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18 | (1) |
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2.2.2 Systemic and Pulmonary Circulations |
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18 | (3) |
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2.2.3 The Circulation in the Heart |
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21 | (4) |
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2.3 Diseases Related to Circulation |
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25 | (4) |
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Chapter 3 Blood Rheology: Properties of Flowing Blood |
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29 | (1) |
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30 | (1) |
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31 | (2) |
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3.4 Flow Properties of Blood |
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33 | (3) |
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33 | (1) |
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3.4.2 Yield Stress of Blood |
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34 | (2) |
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3.5 Blood Vessel Structure |
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36 | (1) |
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3.5.1 Arteries and Arterioles |
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37 | (1) |
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37 | (1) |
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37 | (1) |
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3.6 Diseases Related to Obstruction of Blood Flow |
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37 | (4) |
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38 | (1) |
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38 | (1) |
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39 | (1) |
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39 | (1) |
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39 | (2) |
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Chapter 4 Models of Biofluid Flows |
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4.1 Flows in Pipes and Ducts |
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41 | (3) |
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41 | (1) |
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4.1.2 Developing and Fully Developed Flow |
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42 | (2) |
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4.2 Models of Blood Flows |
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44 | (4) |
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44 | (1) |
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45 | (3) |
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4.3 Consequence of Poiseuille's Flow |
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48 | (1) |
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4.4 Applications of Poiseuille's Law for the Study of Blood Flow |
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48 | (4) |
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52 | (4) |
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4.6 Further Discussion on Pulsatile Flow |
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56 | (3) |
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59 | (2) |
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4.8 Mones-Korteweg Expression for Wave Velocity in an Inviscid Fluid-Filled Elastic Cylindrical Tube |
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61 | (2) |
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4.9 Applications in the Cardiovascular System |
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63 | (2) |
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4.10 Wave Propagation Accounting for Viscosity and its Application to Cardiac Output Determination |
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65 | (4) |
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4.11 Flow Through a Converging-Diverging Duct |
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69 | (8) |
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Chapter 5 Non-Newtonian Fluids |
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77 | (1) |
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5.2 Classification of Non-Newtonian Fluids |
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78 | (1) |
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5.3 Time Independent Fluids |
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78 | (3) |
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79 | (1) |
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80 | (1) |
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5.3.3 Other Special Non-Newtonian Fluids |
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80 | (1) |
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5.4 Time Dependent Fluids |
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81 | (1) |
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81 | (1) |
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5.6 Laminar Flow of Non-Newtonian Fluids |
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81 | (11) |
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82 | (3) |
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5.6.2 Herschel-Bulkley Model |
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85 | (3) |
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88 | (3) |
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5.6.4 Further Analysis of the Casson Model |
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91 | (1) |
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5.7 Flow of Non-Newtonian Fluids in Elastic Tubes |
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92 | (11) |
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5.7.1 Power-Law Model Using Linear Elastic Theory |
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94 | (6) |
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5.7.2 Casson Model Using Linear Elastic Theory |
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100 | (3) |
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Chapter 6 Models for Other Flows |
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103 | (1) |
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6.2 The Krogh Model of Oxygen Diffusion from Blood Vessel to Tissue |
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104 | (7) |
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6.2.1 Capillary Blood Vessel Region |
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106 | (1) |
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107 | (1) |
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6.2.3 Boundary Conditions |
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107 | (1) |
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6.2.4 Krogh's Steady-State Model |
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107 | (2) |
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6.2.5 Blum's Steady-State Model |
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109 | (2) |
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6.3 Fluid Flow in Kidneys |
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111 | (6) |
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111 | (1) |
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6.3.2 Diffusion Process in the Haemodialyser |
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111 | (3) |
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6.3.3 Flow in the Renal Tubule |
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114 | (3) |
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6.4 Flow Measurement by Indicator Dilution Method |
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117 | (3) |
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117 | (1) |
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6.4.2 Measurement of Flow |
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117 | (3) |
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120 | (7) |
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120 | (1) |
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6.5.2 Peristaltic Motion in a Cylindrical Tube |
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120 | (3) |
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6.5.3 Long-Wavelength Analysis |
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123 | (4) |
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Chapter 7 Fluid Mechanics of Heart Valves |
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127 | (2) |
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7.2 A Brief Description of the Heart Valves |
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129 | (3) |
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7.3 Prosthetic Heart Valves |
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132 | (7) |
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7.3.1 History of Valve Replacement |
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132 | (3) |
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7.3.2 Thrombosis and Thromboembolism |
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135 | (2) |
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137 | (1) |
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138 | (1) |
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138 | (1) |
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Chapter 8 Computational Biofluid Mechanics |
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139 | (2) |
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8.2 Mathematical Modelling |
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141 | (2) |
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8.3 Laminar Versus Turbulent Flow Models |
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143 | (1) |
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144 | (2) |
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8.5 Computational Methods for the Study of Flow Through Prosthetic Heart Valves |
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146 | (3) |
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8.6 Laminar Flow Model Through a Prosthesis |
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149 | (11) |
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8.6.1 Problem Formulation |
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149 | (4) |
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8.6.2 Finite Difference Formulation |
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153 | (2) |
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155 | (5) |
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8.7 Turbulent Flow Model Through a Ball Prosthesis |
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160 | (16) |
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160 | (1) |
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160 | (7) |
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8.7.3 Coordinate System Generation |
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167 | (3) |
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8.7.4 Finite Difference Formulation |
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170 | (1) |
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171 | (3) |
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174 | (2) |
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8.8 Computational Fluid Dynamics Applications to Cardiovascular Health Assessment |
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176 | (17) |
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176 | (3) |
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8.8.2 Computing Framework for the Assessment of Haemodynamics |
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179 | (1) |
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8.8.3 Medical Imaging and Anatomical Reconstruction... |
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180 | (3) |
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8.8.4 Reconstructing Surface Mesh and Boundary Conditions |
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183 | (4) |
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8.8.5 Haemodynamics Performance Indicators |
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187 | (3) |
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190 | (3) |
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Chapter 9 Tissue Engineering |
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193 | (1) |
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9.2 Cartilage Tissue Engineering |
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194 | (4) |
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194 | (2) |
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196 | (1) |
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197 | (1) |
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197 | (1) |
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9.3 Mathematical Model of the ECM in Tissue Engineering Study |
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198 | (6) |
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201 | (1) |
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9.3.2 Entropic Contributions to Chemical Potentials (μSj) |
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201 | (1) |
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9.3.3 Internal Energy Contributions to Chemical Potentials (μIj) |
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202 | (1) |
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9.3.4 Interface Conditions |
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203 | (1) |
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9.3.5 Ionised-species Chemistry |
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204 | (1) |
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204 | (3) |
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9.4.1 Comparison of Model Outcomes with Experiments: Parameter Estimation |
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206 | (1) |
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9.5 Effect of Structural and Environmental Fluctuations on Equilibrium ECM Configuration |
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207 | (6) |
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9.5.1 Effects of Changes in Ionisation, Cross-links |
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207 | (2) |
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9.5.2 Effects of Changes in the Bath Salt Concentration... |
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209 | (1) |
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9.5.3 Effects of Changes in the Bath pH |
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209 | (2) |
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211 | (2) |
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Chapter 10 Cellular Engineering |
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213 | (2) |
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10.2 System Dynamical Model Building for the Epigenetic Mechanism |
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215 | (5) |
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220 | (11) |
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10.3.1 Steady State and Linearisation |
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222 | (2) |
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10.3.2 Pattern in Cylindrical Shaped Model Embryo |
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224 | (7) |
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10.4 Concluding Remarks on Tissue Engineering (TE) and Cellular Engineering (CE) |
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231 | (2) |
Glossary |
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233 | (4) |
Bibliography |
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237 | (8) |
Index |
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245 | |