Chapter 1Modeling and Simulations of the Dynamics of Growing Cell Clusters
1.1 Introduction
1.2 Single cell geometry and kinematics
1.2.1 The continuum model
1.2.2 The numerical model for the cell geometry
1.3 Single cell equilibrium and material model
1.3.1 Cell equilibrium
1.3.2 The material model
1.3.3 Determination of material constants
1.4 Modeling cell interactions
1.4.1 Cell-to-cell contact
1.4.2 Cell-to-cell adhesion
1.4.3 Cell-to-cell interaction test
1.5 Modeling the cell life cycle
1.6 Details of the numerical implementation
1.6.1 The finite element model
1.6.2 Contact/adhesion interface detection
1.6.3 Time integration
1.6.4 Parallelization
1.7 Numerical results
1.8 Summary and conclusions
References
Chapter 2 Multiscale Biomechanical Modeling of Stem Cell-Extracellular Matrix Interactions
2.1 Introduction
2.2 Cell and ECM modeling
2.2.1 Basic hypothesis and assumptions
2.2.2 Hyperelastic model
2.2.3 Liquid crystal model
2.3 Contact and adhesion models for cell-substrate interactions
2.3.1 The adhesive body force with continuum mechanics contact
2.3.2 The cohesive contact model
2.4 Meshfree Galerkin formulation and the computational algorithm
2.5 Numerical simulations
2.5.1 Validation of the material rhodels
2.5.2 Cell response in four different stiffness substrates
2.5.3 Cell response to a stiffness-varying substrate
2.5.4 Comparison of two different contact algorithms
2.5.5 Three-dimensional simulation of cell spreading
2.6 Discussion and conclusions
References
Chapter 3 Modeling of Proteins and Their Interactions with Solvent
3.1 Introduction
3.2 Classical molecular dynamics
3.2.1 Coarse-grained model
3.2.2 High performance computing
3.3 Principal component analysis
3.3.1 Three oscillators system analysis with PCA
3.3.2 Quasi-harmonic analysis
3.3.3 Equilibrium conformational analysis
3.4 Methods and procedures
3.4.1 Framework
3.4.2 Overlap coefficients
3.4.3 Correlation analysis
3.4.4 PCA with MD simulation
3.4.5 Kabsch algorithm
3.4.6 Positional correlation matrix
3.4.7 Cluster analysis
3.5 MDsimulation with T4 lysozyme
3.5.1 Equilibration measures
3.5.2 Fluctuation analysis
3.5.3 Mode selection and evaluation
3.5.4 Eigenvalue analysis
3.5.5 Overlap evaluation
3.5.6 Identification of slow conformational flexibility
3.5.7 Correlation analysis of T4 lysozyme
3.6 Hemoglobin and sickle cell anemia
……
Chapter 4 Structural， Mechanical and Functional Properties of Intermediate Chapter 5 Cytoskeletal Mechanics and Rheology
Chapter 6 On the Application of Multiphasic Theories to the Problem of Chapter 7 Effect of Substrate Rigidity on the Growth of Nascent Adhesion Chapter 8 Opto-Hydrodynamic Trapping for Multiaxial Single-Cell Biomechanics
Chapter 9 Application of Nonlocal Shell Models to Microtubule Buckling in Living Cells
Appendix A
Appendix B
Appendix C
Appendix D
References
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