Hybrid Multiscale Models -- A Hybrid Multiscale Model of Solid Tumour Growth and Invasion: Evolution and the Microenvironment -- Lattice-gas Cellular Automaton Modeling of Developing Cell Systems -- Two-dimensional Multiscale Model of Cell Motion in a Chemotactic Field -- The Cellular Potts Model and Its Variants -- Magnetization to Morphogenesis: A Brief History of the Glazier-Graner-Hogeweg Model -- The Cellular Potts Model and Biophysical Properties of Cells, Tissues and Morphogenesis -- The Cellular Potts Model in Biomedicine -- The Glazier-Graner-Hogeweg Model: Extensions, Future Directions, and Opportunities for Further Study -- Off-lattice Cell Models -- Center-based Single-cell Models: An Approach to Multi-cellular Organization Based on a Conceptual Analogy to Colloidal Particles -- Models with Lattice-free Center-based Cells Interacting with Continuum Environment Variables -- Modeling Multicellular Structures Using the Subcellular Element Model -- Viscoelastic Cell Models -- Cell-based Models of Blood Clotting -- A 3-D Deformable Ellipsoidal Cell Model with Cell Adhesion and Signaling -- Modelling the Development of Complex Tissues Using Individual Viscoelastic Cells
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SUMMARY OR ABSTRACT
Text of Note
"The aim of this book is to assemble a collection of different mathematical and computational models and techniques that focus on individual cells, cell processes and cell behaviour, that are also suitable to address problems on the multi-cellular or tissue scale. We would like to focus the level of the book equally to students starting their research in the field of mathematical biology and to scientists already modelling multi-cellular processes. Therefore, our intention is to include in this book a detailed description of each model and an extensive review of suitable biological and medical applications."--Jacket