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

• Main Authors: Deutsch, Andreas (Author), Dormann, Sabine (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2005.
• Series: Modeling and Simulation in Science, Engineering and Technology
• Subjects: Life sciences.; Computer simulation.; Applied mathematics.; Engineering mathematics.; Mathematical models.; Biomathematics.; Life Sciences.; Life Sciences, general.; Mathematical and Computational Biology.; Mathematical Modeling and Industrial Mathematics.; Physiological, Cellular and Medical Topics.; Applications of Mathematics.; Simulation and Modeling.

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, can...

Table of Contents:

• General Principles, Theories, and Models of Pattern Formation
• and Outline
• On the Origin of Patterns
• Mathematical Modeling of Biological Pattern Formation
• Cellular Automaton Modeling
• Cellular Automata
• Applications
• 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.