Cellular Automaton Modeling of Biological Pattern Formation: Characterization, Applications, and Analysis / Edition 1

Cellular Automaton Modeling of Biological Pattern Formation: Characterization, Applications, and Analysis / Edition 1

by Andreas Deutsch, Sabine Dormann
     
 

ISBN-10: 0817642811

ISBN-13: 9780817642815

Pub. Date: 07/15/2008

Publisher: Birkhauser Verlag

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

Overview

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.

Product Details

ISBN-13:
9780817642815
Publisher:
Birkhauser Verlag
Publication date:
07/15/2008
Series:
Modeling and Simulation in Science, Engineering and Technology Series
Edition description:
2005
Pages:
331
Product dimensions:
6.14(w) x 9.21(h) x 0.03(d)

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

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