Single-Cell-Based Models in Biology and Medicine

• Corporate Author: SpringerLink (Online service)
• Other Authors: Anderson, Alexander R. A. (Editor), Chaplain, Mark A. J. (Editor), Rejniak, Katarzyna A. (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2007.
• Series: Mathematics and Biosciences in Interaction
• Subjects: Mathematics.; Computer simulation.; Biomathematics.; Mathematical and Computational Biology.; Physiological, Cellular and Medical Topics.; Simulation and Modeling.

To adequately describe complex spatio-temporal processes that occur in multi-cellular organisms, a class of models is required that simultaneously takes into account differences between individual cells as well as their ability to communicate and interact with one another and their environment. Sing...

Table of Contents:

• 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.