Cellular Automaton Modeling of Biological Pattern Formation

Characterization, Applications, and Analysis

  • Andreas Deutsch
  • Sabine Dormann

Table of contents

  1. Front Matter
    Pages i-xxv
  2. General Principles, Theories, and Models of Pattern Formation

  3. Cellular Automaton Modeling

    1. Front Matter
      Pages 57-57
    2. Pages 59-101
  4. Applications

    1. Front Matter
      Pages 103-103
    2. Pages 105-128
    3. Pages 129-142
    4. Pages 257-278
  5. Back Matter
    Pages 279-331

About this book


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 divided into three parts: Part I deals with general principles, theories, and models of pattern formation; Part II examines cellular automaton modeling; and Part III explains various applications. The models and analytic techniques described may be extended to other exciting applications in biology, medicine, and immunology.


Key topics and features:


* Provides an introduction and historical account of the principles of biological pattern formation (morphogenesis)
* Gives an overview of mathematical modeling approaches to morphogenesis, and an introduction to cellular automata and analytic techniques
* A supplementary web-based Java applet---Cellular Automaton Simulator---enables interactive simulation of various cellular automaton applications described in the book; available on the internet at
* Self-contained presentation is accessible to a broad audience; only basic calculus and linear algebra are required
* Careful balance of theory, models, and applications useful to both experimentalists and theoreticians
* Includes suggestions for further research topics


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. The book's accessible presentation and interdisciplinary approach make it suitable for graduate and advanced undergraduate courses and seminars in mathematical biology, biomodeling, and biocomputing.


Biocomputing Java Pattern Recognition Simulation Simulation and Modeling development modeling

Authors and affiliations

  • Andreas Deutsch
    • 1
  • Sabine Dormann
    • 2
  1. 1.Center for High Performance ComputingDresden University of TechnologyDresdenGermany
  2. 2.Department of MathematicsUniversity of OsnabrückOsnabrückGermany

Bibliographic information

  • DOI
  • Copyright Information Birkhäuser Boston 2005
  • Publisher Name Birkhäuser Boston
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-8176-4281-5
  • Online ISBN 978-0-8176-4415-4
  • Series Print ISSN 2164-3679
  • Series Online ISSN 2164-3725
  • Buy this book on publisher's site