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1 | (38) |
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1.1 Motivation and Background |
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1 | (15) |
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1.1.1 Introduction to the Circulatory System |
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2 | (3) |
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5 | (11) |
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1.2 Numerical Modelling of the Cardiovascular System |
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16 | (11) |
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16 | (1) |
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1.2.2 Approaches to Modelling Aortic Dissection |
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17 | (8) |
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1.2.3 Objectives of Aortic Dissection Modelling |
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25 | (2) |
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1.3 Objectives of the Present Research |
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27 | (1) |
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1.4 Outline of the Thesis |
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28 | (1) |
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29 | (10) |
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2 Computational Methods for Patient-Specific Modelling |
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39 | (30) |
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2.1 Computational Fluid Dynamics |
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39 | (4) |
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2.1.1 Governing Equations |
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40 | (1) |
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2.1.2 Numerical Implementation |
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41 | (2) |
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2.2 Building the Fluid Domain |
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43 | (8) |
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2.2.1 Introduction to Clinical Imaging |
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43 | (1) |
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2.2.2 3D Domain Extraction |
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44 | (4) |
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48 | (3) |
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51 | (1) |
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2.4 Dynamic Boundary Conditions |
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52 | (10) |
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52 | (1) |
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2.4.2 Two-element Windkessel Model |
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53 | (1) |
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2.4.3 Three-element Windkessel Model |
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54 | (2) |
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2.4.4 Four-element Windkessel Models |
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56 | (1) |
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2.4.5 Compound Windkessel Models |
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57 | (1) |
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2.4.6 Parameters for Windkessel Models |
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57 | (2) |
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2.4.7 Comparison of Zero-Pressure and Windkessel Boundary Conditions for Aortic Dissection |
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59 | (2) |
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2.4.8 Comparison of Flow-Split and Windkessel Boundary Conditions for Aortic Dissection |
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61 | (1) |
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2.5 Finite Element Modelling |
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62 | (3) |
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2.5.1 Vessel Wall Reconstruction |
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63 | (1) |
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2.5.2 Material Properties |
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63 | (2) |
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65 | (4) |
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3 Haemodynamics of a Dissected Aorta |
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69 | (32) |
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69 | (1) |
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70 | (5) |
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3.2.1 Boundary Conditions and Data Assimilation Method |
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71 | (4) |
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75 | (9) |
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3.3.1 Flow Characteristics |
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75 | (4) |
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3.3.2 Pressure Distribution |
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79 | (2) |
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81 | (3) |
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84 | (3) |
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85 | (2) |
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3.5 Sensitivity of the Windkessel Parameters |
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87 | (2) |
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89 | (6) |
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3.7 Effect of Turbulence Modelling |
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95 | (2) |
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97 | (1) |
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97 | (4) |
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4 Effectiveness of Aortic Dissection Treatments via Virtual Stenting |
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101 | (26) |
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101 | (2) |
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103 | (6) |
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4.2.1 Boundary Conditions |
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107 | (2) |
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109 | (8) |
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4.3.1 Velocity and Flow Rates |
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109 | (2) |
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111 | (2) |
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113 | (1) |
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113 | (4) |
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117 | (3) |
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120 | (3) |
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123 | (1) |
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124 | (3) |
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5 Role of Vessel Wall Motion in Aortic Dissection |
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127 | (28) |
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127 | (2) |
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129 | (3) |
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129 | (1) |
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5.2.2 Boundary Conditions |
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130 | (2) |
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132 | (11) |
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132 | (1) |
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5.3.2 Cross-Sectional Area |
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132 | (2) |
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134 | (3) |
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5.3.4 Velocity Distribution |
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137 | (1) |
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137 | (2) |
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5.3.6 Pressure Distribution |
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139 | (1) |
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5.3.7 Proximal and Distal False Lumen |
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139 | (2) |
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141 | (2) |
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5.4 Mesh Sensitivity and Efficiency |
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143 | (4) |
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147 | (3) |
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150 | (1) |
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150 | (5) |
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6 Conclusions and Future Work |
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155 | (6) |
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155 | (1) |
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156 | (1) |
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6.3 Summary of Main Findings |
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156 | (3) |
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6.4 Significance of this Study |
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159 | (1) |
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159 | (2) |
Appendix A Sample Mesh Images |
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161 | (4) |
Appendix B Detailed Mesh Sensitivity Analysis for Virtual-Stenting Simulations |
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165 | |