Cellular Automaton Modeling of Biological Pattern Formation
Characterization, Applications, and Analysis. Forew. by P. K. Maini
(Sprache: Englisch)
This book focuses on a challenging application field of cellular automata: pattern formation in biological systems, such as the growth of microorganisms, dynamics of cellular tissue and tumors, and formation of pigment cell patterns. These phenomena,...
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Klappentext zu „Cellular Automaton Modeling of Biological Pattern Formation “
This book focuses on a challenging application field of cellular automata: pattern formation in biological systems, such as the growth of microorganisms, dynamics of cellular tissue and tumors, and formation of pigment cell patterns. These phenomena, resulting from complex cellular interactions, cannot be deduced solely from experimental analysis, but can be more easily examined using mathematical models, in particular, cellular automaton models.While there are various books treating cellular automaton modeling, this interdisciplinary work is the first one covering biological applications. The book is aimed at researchers, practitioners, and students in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science interested in a cellular automaton approach to biological modeling.
Inhaltsverzeichnis zu „Cellular Automaton Modeling of Biological Pattern Formation “
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.
Bibliographische Angaben
- Autoren: Andreas Deutsch , Sabine Dormann
- 2005, 331 Seiten, 131 Schwarz-Weiß-Abbildungen, Maße: 23,4 cm, Gebunden, Englisch
- Mitarbeit: Maini, Philip K.
- Verlag: Birkhäuser Basel
- ISBN-10: 0817642811
- ISBN-13: 9780817642815
Sprache:
Englisch
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