Cellular Automaton Modeling of Biological Pattern Formation

Andreas Deutsch, PhD, Department for Innovative Methods of Computing, Center for Information Services and High Performance Computing, Technische Universität Dresden.Sabine Dormann, PhD, Universität Osnabrück

“In this book the authors concentrate on modelling biological pattern formation using cellular automata … . The book would be useful to someone with a mathematical background interested in modelling spatio-temporal dynamics of biological cells at this level of description.” (Carlo Laing, zbMATH 1403.37001, 2019)

• Introduction and Outline.- On the Origin of Patterns.- Modeling Biological Pattern Formation.- Cellular Automata.- Random Movement.- Cell Migration.- Adhesive Cell Interaction.- Alignment and Cellular Swarming.- Growth Processes.- Pigment Cell Pattern Formation.- Tissue Development.- Tumor Growth and Invasion.- Turing Patterns and Excitable Media.- Discussion and Outlook.- Appendix A: Cell Migration.- Appendix B: Growth Processes.- Appendix C: Tumor Growth and Invasion.- Appendix D: Turing Patterns.- Appendix E: Excitable Media.- Appendix F: Isotropy, Lattices, and Tensors.- References.- Index.