Cellular Automaton Modeling of Biological Pattern Formation
Characterization, Applications, and Analysis

Andreas Deutsch, Dresden University of Technology, Germany
Sabine Dormann, University of Bielefeld, Germany
Birkhäuser, Boston (2004)


 

table of contents

Foreword - Philip K. Maini

List of Figures

List of Notation

Introduction and Outline

On the Origin of Patterns

Mathematical Modeling of Biological Pattern Formation

Cellular Automata

Random Movement

Growth Processes

Adhesive Cell Interaction

Alignment and Cellular Swarming

Pigment Cell Pattern Formation

Tissue and Tumor Development

Turing Patterns and Excitable Media

Discussion and Outlook

Appendix A. Growth Processes: A Mean-Field Equation

Appendix B. Turing Patterns

Appendix C. Excitable Media: Complete Interaction Rule

Appendix D. Isotropy, Lattices, and Tensors

References

Index