Single-Cell-Based Models in Biology and Medicine

I..Hybrid Multiscale Models

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

2. Lattice-gas Cellular Automaton Modeling of Developing Cell Systems
Andreas Deutsch

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

II..The Cellular Potts Model and Its Variants

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

5. The Cellular Potts Model and Biophysical Properties of Cells, Tissues and Morphogenesis
Athanasius F. M. Marée, Verônica A. Grieneisen, Paulien Hogeweg

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

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

III..Off-lattice Cell Models

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

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

10. Modeling Multicellular Structures Using the Subcellular Element Model
Timothy J. Newman

IV..Viscoelastic Cell Models

11. Cell-based Models of Blood Clotting
Aaron L. Fogelson

12. A 3-D Deformable Ellipsoidal Cell Model with Cell Adhesion and Signaling
Eirikur Palsson

13. Modelling the Development of Complex Tissues Using Individual Viscoelastic Cells
Katarzyna A. Rejniak

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Keywords: MATHEMATICS / General MAT000000