Main description:

Aimed at postgraduate students in a variety of biology-related disciplines, this volume presents a collection of mathematical and computational single-cell-based models and their application. The main sections cover four general model groupings: hybrid cellular automata, cellular potts, lattice-free cells, and viscoelastic cells. Each section is introduced by a discussion of the applicability of the particular modelling approach and its advantages and disadvantages, which will make the book suitable for students starting research in mathematical biology as well as scientists modelling multicellular processes.

Contents:

A Hybrid Multiscale Model of Tumour Invasion: Evolution and the Microenvironment.- Lattice-gas Cellular Automaton Modelling of Developing Cell Systems.- Two-dimensional Multiscale Model of Cell Motion in a Chemotactic Field.- 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.- 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.- Cell-based Models of Blood Clotting.- A 3-D Deformable Ellipsoidal Cell Model with Cell Adhesion and Signaling.- Modelling Development of Complex Tissues using Individual Viscoelastic Cells.