Cellular Automaton Modeling of Biological Pattern Formation Characterization, Examples, and Analysis /

• Main Authors: Deutsch, Andreas (Author, http://id.loc.gov/vocabulary/relators/aut), Dormann, Sabine (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2017.
• Edition: 2nd ed. 2017.
• Series: Modeling and Simulation in Science, Engineering and Technology,
• Subjects: Biomathematics.; Mathematical models.; Computer simulation.; Applied mathematics.; Engineering mathematics.; Bioinformatics .; Computational biology .; Physiological, Cellular and Medical Topics.; Mathematical Modeling and Industrial Mathematics.; Simulation and Modeling.; Applications of Mathematics.; Computer Appl. in Life Sciences.

This text explores the use of cellular automata in modeling pattern formation in biological systems. It describes several mathematical modeling approaches utilizing cellular automata that can be used to study the dynamics of interacting cell systems both in simulation and in practice. New in this ed...

Table of Contents:

• 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.