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Status:
Available4.4
36 reviewsISBN 10: 0429096129
ISBN 13: 9780429096129
Author: Marco Scianna, Luigi Preziosi
This work shows how the cellular Potts model can be used as a framework for model building and how extended models can achieve even better biological practicality, accuracy, and predictive power. It focuses on ways to integrate and interface the basic cellular Potts model at the mesoscopic scale with approaches that accurately model microscopic dynamics. These extensions are designed to create a nested and hybrid environment, where the evolution of a biological system is realistically driven by the constant interplay and flux of information between the different levels of description.
I Basic Cellular Potts Model and Applications
1 Basic CPM
1.1 The Cpm Domain
1.2 The Cpm Algorithm
1.3 The Hamiltonian
1.4 Evaluation of Some Kinematic Parameters
1.5 Some Illustrative Simulations
2 HGF-Induced Cell Scatter
2.1 Biological Introduction
2.2 Mathematical Model for Aro Aggregates
2.3 Scattering of Aro Aggregates
2.4 Mathematical Model for Mlp-29 Aggregates
2.5 Scattering of Mlp-29 Aggregates
3 Mesothelial Invasion of Ovarian Cancer
3.1 Biological Introduction
3.1.1 Single Cell Transmigration
3.1.2 Multicellular Spheroid Invasion
3.2 Mathematical Model
3.3 Single Cell Transmigration
3.4 Multicellular Spheroid Invasion
II Extended Cellular Potts Model and Applications
4 Extended Cellular Potts Model
4.1 Advantages and Limitations of the Basic Cpm
4.2 Compartmentalization Approach
4.3 Nested Approach
4.4 Motility of Individuals
5 Wound Healing Assay
5.1 Biological Introduction
5.2 Mathematical Model
5.2.1 Cell-Level Model
5.2.2 Molecular-Level Model
5.3 Simulations
6 Effect of Calcium-Related Pathways on Single Cell Motility
6.1 Biological Introduction
6.2 Mathematical Model
6.2.1 Cell-Level Model
6.2.2 Molecular-Level Model
6.3 Simulation Details and Parameter Estimates
6.4 Simulations in Standard Conditions
6.5 Interfering with Calcium Machinery
6.6 Altering Cell Morphology
6.7 Varying the Chemical Source
7 Tumor-Derived Vasculogenesis
7.1 Biological Introduction
7.2 Mathematical Model
7.2.1 Cell-Level Model
7.2.2 Molecular-Level Model
7.3 Simulations in Standard Conditions
7.4 Varying Cell Density
7.5 Testing Anti-Angiogenic Therapies
8 Different Morphologies of Tumor Invasion Fronts
8.1 Biological Introduction
8.2 Mathematical Model
8.2.1 Cell-Level Model
8.2.2 Molecular-Level Model
8.3 Simulations in Standard Conditions
8.4 Varying Cell Adhesive Properties
8.5 Varying Cell Elasticity
8.6 Altering Cell-Substrate Interactions
8.7 Effect of Cell Proliferation
8.8 Early Stages of Tumor Spheroid Growth
8.9 Mathematical Model
8.10 Simulations
9 Cell Migration in Extracellular Matrices
9.1 Biological Introduction
9.2 Mathematical Model
9.2.1 Simulation Details
9.3 Isotropic Matrices
9.4 Anisotropic 2D and 3D Matrices
9.5 Varying Fiber Density
9.6 Varying Cell-Fiber Adhesiveness
9.7 Varying Fiber Elasticity of 3D Matrix Scaffold
9.8 Effect of Varying Nucleus Compressibility in 3D
9.9 Effect of Matrix Degradation in 3D
10 Cancer Cell Migration in Matrix Microchannels
10.1 Biological Introduction
10.2 Mathematical Model
10.3 Simulations
10.4 Migration Velocities
10.5 Migration Modes
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Tags: Cellular Potts, Models, Multiscale Extensions, Biological Applications, Marco Scianna, Luigi Preziosi
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