Cellular Potts Models: Multiscale Extensions and Biological Applications

I Basic Cellular Potts Model and Applications Basic CPM The CPM Domain The CPM Algorithm The Hamiltonian Evaluation of Some Kinematic Parameters Some Illustrative Simulations HGF-Induced Cell Scatter Biological Introduction Mathematical Model for ARO Aggregates Scattering of ARO Aggregates Mathematical Model for MLP-29 Aggregates Scattering of MLP-29 Aggregates Mesothelial Invasion of Ovarian Cancer Biological Introduction Mathematical Model Single Cell Transmigration Multicellular Spheroid Invasion II Extended Cellular Potts Model and Applications Extended Cellular Potts Model Advantages and Limitations of the Basic CPM Compartmentalization Approach Nested Approach Motility of Individuals Wound Healing Assay Biological Introduction Mathematical Model Simulations Effect of Calcium-Related Pathways on Single Cell Motility Biological Introduction Mathematical Model Simulation Details and Parameter Estimates Simulations in Standard Conditions Interfering with Calcium Machinery Altering Cell Morphology Varying the Chemical Source Tumor-Derived Vasculogenesis Biological Introduction Mathematical Model Simulations in Standard Conditions Varying Cell Density Testing Anti-Angiogenic Therapies Different Morphologies of Tumor Invasion Fronts Biological Introduction Mathematical Model Simulations in Standard Conditions Varying Cell Adhesive Properties Varying Cell Elasticity Altering Cell-Substrate Interactions Effect of Cell Proliferation Early Stages of Tumor Spheroid Growth Mathematical Model Simulations Cell Migration in Extracellular Matrices Biological Introduction Mathematical Model Isotropic Matrices Anisotropic 2D and 3D Matrices Varying Fiber Density Varying Cell-Fiber Adhesiveness Varying Fiber Elasticity of 3D Matrix Scaffold Effect of Varying Nucleus Compressibility in 3D Effect of Matrix Degradation in 3D Cancer Cell Migration in Matrix Microchannels Biological Introduction Mathematical Model Simulations Migration Velocities Migration Modes Appendices A: Computational Implementation B: Glossary C: Parameter Values D: Color Insert Bibliography Index