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xi | |
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Simulations and Models of Lipid Bilayers |
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1 | (82) |
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1 | (5) |
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6 | (53) |
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6 | (2) |
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8 | (1) |
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Forcefields for Lipid Simulations |
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9 | (6) |
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Simulation Considerations and Techniques |
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15 | (4) |
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Molecular Dynamics Simulations of Lipid Bilayers |
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19 | (1) |
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System Construction and Simulation Design |
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20 | (5) |
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Analysis and comparison with Experiments |
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25 | (6) |
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Surface Potential Experiments |
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31 | (2) |
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Radial Distribution Functions |
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33 | (4) |
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Heterogeneous Membrane Simulations |
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37 | (7) |
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Simulations of Ordered Lipid Phases |
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44 | (2) |
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Simulations of Asymmetric lipied Bilayers |
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46 | (2) |
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Equilibrium Monte Carlo Methods |
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48 | (2) |
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Monte Carlo Studies of Lipids |
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50 | (8) |
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Thermodynamic Quantities, Limitations of Atomistic Simulations |
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58 | (1) |
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59 | (15) |
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Simulations Based on Reduced ``Pseudo-Molecular'' Molecular Models |
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59 | (1) |
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60 | (4) |
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MD Based Langevin Dynamcs and Mean Field Theory |
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64 | (10) |
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74 | (9) |
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76 | (7) |
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Red Blood Cell Shapes and Shape Transformations: Newtonian Mechanics of a Composite Membrane |
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83 | (158) |
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84 | (17) |
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84 | (5) |
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Structure of the Erythrocyte: The Composite Membrane |
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89 | (1) |
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What Fixes the Area and Volume of the Red Cell? Flaccid vs. Turgid Cells |
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90 | (3) |
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Shape Determination for a Flaccid Red Cell at Equilibrium: Membrane-Energy Minimization |
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93 | (1) |
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Ingredients of the Membrane Shape-Energy Functional F [ S] |
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94 | (1) |
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Shape Classes, Stability Boundaries and Phase Diagrams |
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95 | (3) |
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Understanding the SDE Transformation Sequence: Universality and the Bilayer-Couple Hypothesis |
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98 | (2) |
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100 | (1) |
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Structure of the Cell Membrane; The SDE Sequence |
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101 | (6) |
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102 | (2) |
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104 | (1) |
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More on the SDE Sequence of Cell-Shape Transformations |
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105 | (2) |
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107 | (15) |
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108 | (1) |
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Bending Energy of the Plasma Membrane |
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109 | (4) |
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Elastic Energy of the Membrane Skeleton |
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113 | (4) |
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Dimensionles Variables and Scaling |
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117 | (2) |
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History: Other Red-cell Models |
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119 | (3) |
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Equations of Membrane Shape Mechanics |
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122 | (16) |
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122 | (2) |
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Mechanices of the Plasma Membrane |
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124 | (1) |
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Fluid Membrane Without bending Rigidity |
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125 | (3) |
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General Equilibrium Conditions for Membranes with Internal Stresses |
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128 | (3) |
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Fluid Membrane with Bending Rigidity |
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131 | (5) |
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Mechanics of the Membrane Skeleton |
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136 | (2) |
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Calculating Shapes Numerically |
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138 | (9) |
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Construction of an Initial Spherical Net Ssphere |
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139 | (1) |
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Discretization of Fcon [ S] |
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140 | (1) |
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Discretization of Fpm [ s] |
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141 | (3) |
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144 | (1) |
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Energy Minimization by the Metropolis Monte Carlo Algorithm |
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145 | (2) |
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Predicted Shapes and Shape Transformations of the RBC |
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147 | (33) |
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148 | (2) |
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Shape Transitions, Trajectories and Hysteresis |
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150 | (3) |
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Phase-Trajectory Diagrams |
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153 | (8) |
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Individual Shape Clases and Stability Diagrams |
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161 | (19) |
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Significant Results and Prediction |
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180 | (10) |
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Observed SDE Shape Classes all Occur |
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181 | (1) |
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Reference Shape So of the Membrane Skeleton is an Oblate Spheroid |
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182 | (1) |
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Predicted Hysteresis and Fluctuation Effects in RBC Shape Transformations |
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183 | (3) |
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Strain Distribution over the Membrane Skeleton |
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186 | (1) |
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Large Thermal Fluctuations at the AD-to-E1 Boundaries |
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186 | (4) |
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Discussion and conclusions: The Future |
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190 | (12) |
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Validation of the Bilayer-Couple Hypothesis |
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191 | (1) |
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Generalized Phase Diagrams and Trajectories |
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192 | (1) |
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Sensitivity of Results to Variations of Elastic Parameters |
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193 | (1) |
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194 | (1) |
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Higher-Order Nonlinear Elastic Terms |
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194 | (1) |
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Understanding the Action of Shape-Change-Inducing Agents |
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195 | (1) |
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Experimental Quantitation of mo |
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196 | (2) |
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Effects of Lateral Inhomogeneity of the Red-Cell Membrane |
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198 | (2) |
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Membrane Mechanics of RBCs of Other Mammals |
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200 | (1) |
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201 | (1) |
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Appendix A Material Parameters and Related Experiments |
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202 | (9) |
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Geometry: Cell Area and Volume |
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202 | (1) |
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203 | (1) |
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204 | (1) |
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204 | (4) |
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208 | (3) |
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Appendix B Symmetry Sets the Form of Elastic Energies |
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211 | (5) |
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211 | (3) |
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Local Elastic Energy of Stretch and Shear |
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214 | (2) |
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Appendix C Differential Geometry and Coordinate Transformations |
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216 | (9) |
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Basic Results from Differential Geometry |
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217 | (2) |
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Coordinate Transformations and Covariant Notation |
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219 | (3) |
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222 | (1) |
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Variational Approach to Membrane Mechanics |
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223 | (2) |
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Appendix D Mechanical Equations of Membrane Equilibrium |
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225 | (16) |
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Decomposition of the Stress Tensor for Membranes |
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226 | (1) |
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Stress Tensor for the Helfrich Model |
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226 | (5) |
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Inclusion of Gaussian curvature |
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231 | (3) |
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Deformation Matrix M in Curvilinear Coordinates |
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234 | (1) |
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Stress Tensor for the Membrane Skeleton |
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235 | (2) |
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Shape Equation Under Conditions of Axisymmetry: Some Examples |
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237 | (4) |
| References |
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241 | (8) |
| Index |
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249 | |