Single-cell-based Models in Biology and Medicine

edited by: A.R.A. Anderson, M.A.J. Chaplain & K.A. Rejniak
Birkhauser-Verlag, Mathematics and Biosciences in Interaction series
ISBN 978-3-7643-8101-1, publisher website



I. Hybrid Multiscale Models

I.1 Alexander R.A. Anderson, A Hybrid Multiscale Model of Tumour Invasion: Evolution and the Microenvironment

I.2 Andreas Deutsch, Lattice-gas Cellular Automaton Modelling of Developing Cell Systems

I.3 Mark Alber, Nan Chen, Tilmann Glimm, Pavel Lushnikov, Two-dimensional Multiscale Model of Cell Motion in a Chemotactic Field

II. The Cellular Potts Model and Its Variants

II.1 James A. Glazier, Ariel Balter, Nikodem J. Poplawski, Magnetization to Morphogenesis: A Brief History of the Glazier--Graner--Hogeweg Model

II.2 Athanasius F.M. Maree, Veronica A.Grieneisen, Paulien Hogeweg, The Cellular Potts Model and Biophysical Properties of Cells, Tissues and Morphogenesis

II.3 Nicholas J. Savill, Roeland M. H. Merks, The Cellular Potts Model in Biomedicine

II.4 Ariel Balter, Roeland M. H. Merks, Nikodem J. Poplawski, Maciej Swat and James A. Glazier, The Glazier-Graner-Hogeweg Model: Extensions, Future Directions, and Opportunities for Further Study

III. Off-lattice Cell Models

II.1 Dirk Drasdo, Center-based Single-cell Models: An Approach to Multi-cellular Organization Based on a Conceptual Analogy to Colloidal Particles

II.2 John C. Dallon, Models with Lattice-free Center-based Cells Interacting with Continuum Environment Variables

II.3 Timothy J. Newman, Modeling Multicellular Structures Using the Subcellular Element Model

IV. Viscoelastic Cell Models

IV.1 Aaron L. Fogelson, Cell-based Models of Blood Clotting

IV.2 Eirikur Palsson, A 3-D Deformable Ellipsoidal Cell Model with Cell Adhesion and Signaling

IV.3 Katarzyna A. Rejniak, Modelling the Development of Complex Tissues using Individual Viscoelastic Cells