|
Chapter 1 Modeling and Simulations of the Dynamics of Growing Cell Clusters |
|
|
1 | (26) |
|
|
1 | (2) |
|
1.2 Single cell geometry and kinematics |
|
|
3 | (2) |
|
1.2.1 The continuum model |
|
|
4 | (1) |
|
1.2.2 The numerical model for the cell geometry |
|
|
5 | (1) |
|
1.3 Single cell equilibrium and material model |
|
|
5 | (3) |
|
|
5 | (1) |
|
|
6 | (1) |
|
1.3.3 Determination of material constants |
|
|
6 | (2) |
|
1.4 Modeling cell interactions |
|
|
8 | (5) |
|
1.4.1 Cell-to-cell contact |
|
|
9 | (1) |
|
1.4.2 Cell-to-cell adhesion |
|
|
10 | (1) |
|
1.4.3 Cell-to-cell interaction test |
|
|
11 | (2) |
|
1.5 Modeling the cell life cycle |
|
|
13 | (2) |
|
1.6 Details of the numerical implementation |
|
|
15 | (2) |
|
1.6.1 The finite element model |
|
|
15 | (1) |
|
1.6.2 Contact/adhesion interface detection |
|
|
15 | (1) |
|
|
16 | (1) |
|
|
17 | (1) |
|
|
17 | (5) |
|
1.8 Summary and conclusions |
|
|
22 | (2) |
|
|
24 | (3) |
|
Chapter 2 Multiscale Biomechanical Modeling of Stem Cell-Extracellular Matrix Interactions |
|
|
27 | (28) |
|
|
27 | (2) |
|
2.2 Cell and ECM modeling |
|
|
29 | (3) |
|
2.2.1 Basic hypothesis and assumptions |
|
|
29 | (1) |
|
|
30 | (1) |
|
2.2.3 Liquid crystal model |
|
|
31 | (1) |
|
2.3 Contact and adhesion models for cell-substrate interactions |
|
|
32 | (6) |
|
2.3.1 The adhesive body force with continuum mechanics contact |
|
|
33 | (3) |
|
2.3.2 The cohesive contact model |
|
|
36 | (2) |
|
2.4 Meshfree Galerkin formulation and the computational algorithm |
|
|
38 | (2) |
|
2.5 Numerical simulations |
|
|
40 | (10) |
|
2.5.1 Validation of the material models |
|
|
41 | (1) |
|
2.5.2 Cell response in four different stiffness substrates |
|
|
42 | (3) |
|
2.5.3 Cell response to a stiffness-varying substrate |
|
|
45 | (2) |
|
2.5.4 Comparison of two different contact algorithms |
|
|
47 | (1) |
|
2.5.5 Three-dimensional simulation of cell spreading |
|
|
47 | (3) |
|
2.6 Discussion and conclusions |
|
|
50 | (1) |
|
|
51 | (4) |
|
Chapter 3 Modeling of Proteins and Their Interactions with Solvent |
|
|
55 | (62) |
|
|
55 | (3) |
|
3.2 Classical molecular dynamics |
|
|
58 | (4) |
|
3.2.1 Coarse-grained model |
|
|
59 | (3) |
|
3.2.2 High performance computing |
|
|
62 | (1) |
|
3.3 Principal component analysis |
|
|
62 | (12) |
|
3.3.1 Three oscillators system analysis with PCA |
|
|
64 | (8) |
|
3.3.2 Quasi-harmonic analysis |
|
|
72 | (1) |
|
3.3.3 Equilibrium conformational analysis |
|
|
73 | (1) |
|
3.4 Methods and procedures |
|
|
74 | (7) |
|
|
74 | (1) |
|
3.4.2 Overlap coefficients |
|
|
74 | (1) |
|
3.4.3 Correlation analysis |
|
|
75 | (1) |
|
3.4.4 PCA with MD simulation |
|
|
76 | (3) |
|
|
79 | (1) |
|
3.4.6 Positional correlation matrix |
|
|
80 | (1) |
|
|
80 | (1) |
|
3.5 MD simulation with T4 lysozyme |
|
|
81 | (18) |
|
3.5.1 Equilibration measures |
|
|
83 | (1) |
|
3.5.2 Fluctuation analysis |
|
|
84 | (1) |
|
3.5.3 Mode selection and evaluation |
|
|
85 | (1) |
|
3.5.4 Eigenvalue analysis |
|
|
86 | (3) |
|
|
89 | (7) |
|
3.5.6 Identification of slow conformational flexibility |
|
|
96 | (1) |
|
3.5.7 Correlation analysis of T4 lysozyme |
|
|
96 | (3) |
|
3.6 Hemoglobin and sickle cell anemia |
|
|
99 | (13) |
|
3.6.1 Molecular dynamic simulation with NAMD |
|
|
103 | (3) |
|
3.6.2 Conformational change analysis |
|
|
106 | (3) |
|
|
109 | (1) |
|
3.6.4 Correlation analysis with HbS interaction |
|
|
110 | (2) |
|
|
112 | (1) |
|
|
112 | (5) |
|
Chapter 4 Structural, Mechanical and Functional Properties of Intermediate Filaments from the Atomistic to the Cellular Scales |
|
|
117 | (50) |
|
|
117 | (18) |
|
4.1.1 Hierarchical structure of vimentin intermediate filaments |
|
|
121 | (10) |
|
4.1.2 The structural and physiological character of keratin |
|
|
131 | (4) |
|
4.2 Connecting filaments to cells level function and pathology |
|
|
135 | (3) |
|
4.2.1 Bending and stretching properties of IFs in cells |
|
|
136 | (1) |
|
4.2.2 IFs responding differently to tensile and shear stresses |
|
|
137 | (1) |
|
4.2.3 Mechanotransduction through the intermediate filament network |
|
|
138 | (1) |
|
4.3 Experimental mechanics |
|
|
138 | (3) |
|
4.3.1 Single filament mechanics |
|
|
138 | (1) |
|
4.3.2 Rheology of IF networks in vitro |
|
|
139 | (1) |
|
4.3.3 IF networks rheology in cells |
|
|
140 | (1) |
|
|
141 | (17) |
|
4.4.1 Single vimentin filament mechanics |
|
|
141 | (11) |
|
|
152 | (4) |
|
4.4.3 The mechanical role of intermediate filament in cellular system |
|
|
156 | (2) |
|
|
158 | (1) |
|
|
159 | (8) |
|
Chapter 5 Cytoskeletal Mechanics and Rheology |
|
|
167 | (22) |
|
|
167 | (3) |
|
5.2 Modelling semiflexible filament dynamics |
|
|
170 | (3) |
|
5.3 Experimental measurements |
|
|
173 | (5) |
|
|
174 | (1) |
|
|
174 | (1) |
|
5.3.3 Atomic force microscopy |
|
|
175 | (1) |
|
5.3.4 Micropipette aspiration |
|
|
176 | (1) |
|
|
176 | (1) |
|
5.3.6 Parallel-plate flow chambers |
|
|
177 | (1) |
|
|
177 | (1) |
|
|
178 | (1) |
|
|
178 | (5) |
|
|
183 | (1) |
|
|
183 | (6) |
|
Chapter 6 On the Application of Multiphasic Theories to the Problem of Cell-substrate Mechanical Interactions |
|
|
189 | (36) |
|
|
190 | (2) |
|
6.2 The physics of contractile fibroblasts and their interactions with an elastic substrate |
|
|
192 | (5) |
|
6.2.1 Cell spreading, contractility and substrate elasticity |
|
|
192 | (2) |
|
6.2.2 Molecular mechanisms of cell contractility |
|
|
194 | (3) |
|
6.3 Multiphasic mixture theory and cell contractility |
|
|
197 | (15) |
|
6.3.1 The cytoplasm as a quadriphasic medium |
|
|
198 | (3) |
|
6.3.2 Mass transport and mass exchange within the cell |
|
|
201 | (4) |
|
6.3.3 Contractility and force balance |
|
|
205 | (4) |
|
6.3.4 Model's prediction for simple cases |
|
|
209 | (3) |
|
6.4 Interaction between contractile cells and compliant substrates |
|
|
212 | (6) |
|
6.4.1 Two-dimensional plane stress formulation |
|
|
212 | (1) |
|
6.4.2 Numerical strategy: XFEM-level methods |
|
|
213 | (3) |
|
6.4.3 Analysis of mechanical interactions between a contractile cell and an elastic substrate |
|
|
216 | (2) |
|
6.5 Summary and conclusion |
|
|
218 | (3) |
|
|
218 | (1) |
|
6.5.2 Limitations of the multiphasic approach |
|
|
219 | (1) |
|
|
220 | (1) |
|
|
221 | (4) |
|
Chapter 7 Effect of Substrate Rigidity on the Growth of Nascent Adhesion Sites |
|
|
225 | (14) |
|
|
225 | (2) |
|
|
227 | (4) |
|
7.3 Results and Discussion |
|
|
231 | (5) |
|
|
236 | (1) |
|
|
236 | (3) |
|
Chapter 8 Opto-Hydrodynamic Trapping for Multiaxial Single-Cell Biomechanics |
|
|
239 | (18) |
|
|
239 | (1) |
|
8.2 Optical-hydrodynamic trapping |
|
|
240 | (12) |
|
8.2.1 Optical physics and microfluidics |
|
|
240 | (2) |
|
8.2.2 Theoretical stress analysis |
|
|
242 | (4) |
|
8.2.3 Experimental and computational flow validation |
|
|
246 | (3) |
|
8.2.4 Applied stresses and strain response |
|
|
249 | (1) |
|
8.2.5 Multiaxial single-cell biomechanics |
|
|
250 | (2) |
|
|
252 | (2) |
|
|
254 | (3) |
|
Chapter 9 Application of Nonlocal Shell Models to Microtubule Buckling in Living Cells |
|
|
257 | (18) |
|
|
257 | (2) |
|
9.2 Nonlocal shell theories |
|
|
259 | (6) |
|
9.2.1 Constitutive relations |
|
|
260 | (1) |
|
9.2.2 Shear deformable shell model |
|
|
261 | (3) |
|
|
264 | (1) |
|
9.3 Bending buckling analysis |
|
|
265 | (4) |
|
9.4 Numerical results and discussion |
|
|
269 | (5) |
|
|
274 | (1) |
Appendix A |
|
275 | (1) |
Appendix B |
|
276 | (3) |
Appendix C |
|
279 | (2) |
Appendix D |
|
281 | (1) |
References |
|
282 | |