The cellular Potts model is increasingly being used for the mathematical modeling of a wide range of biological phenomena, including wound healing, tumor growth, and cancer cell migration. By using this site you agree to the use of cookies. Offline Computer – Download Bookshelf software to your desktop so you can view your eBooks with or without Internet access. View Our Frequently Asked Questions, Publisher List Price: by var listPrice = 121.95; Through several biological examples, the authors demonstrate a qualitative and quantitative agreement with the relative experimental data. Mobile/eReaders – Download the Bookshelf mobile app at VitalSource.com or from the iTunes or Android store to access your eBooks from your mobile device or eReader. Marco Scianna is a post-doctoral fellow in the Department of Mathematical Sciences at the Politecnico di Torino. Published The book first explains the biophysical bases, main merits, and limitations of the cellular Potts model. 5 Penn Plaza, 23rd Floor The cellular Potts model is increasingly being used for the mathematical modeling of a wide range of biological phenomena, including wound healing, tumor growth, and cancer cell migration. Where the content of the eBook requires a specific layout, or contains maths or other special characters, the eBook will be available in PDF (PBK) format, which cannot be reflowed. This code is for 2D simulation of cellular Potts model (CPM), and made to give a primer for those who want to start CPM simulation. ©2020 24houranswers.com. 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. New York, NY 10001, Phone: (845) 429-5025 A flexible, cell-level, and lattice-based technique, the cellular Potts model accurately describes the phenomenological mechanisms involved in many biological processes. $121.95 Reference: 1993, … March 26, 2013 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 IntroductionMathematical 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 ModelSimulations, Effect of Calcium-Related Pathways on Single Cell Motility Biological Introduction Mathematical ModelSimulation 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 ModelSimulations 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 MatricesAnisotropic 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: GlossaryC: Parameter ValuesD: Color Insert. Luigi Preziosi is a professor of mathematical physics at the Politecnico di Torino.

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