Cellular Automaton Modeling of Biological Pattern Formation / Modeling and Simulation in Science, Engineering and Technology (PDF)

Taken as a whole, the book under review fills a rather significant gap in the spatial modelling literature. It presents a unifying framework for mathematicians, physicists, and theoretical biologists. It is clear that Deutsch and Dormann’s book possesses great pedagogical value. Chapters end with proposed topics for further projects, rendering the book a good source of inspiration for courses on pattern formation in which computer simulations and methods are utilised. The effort the authors have invested in mathematically describing the CA and its interactions will certainly be very welcome to math students. …The book remains an ideal guide for someone with a mathematical or physical background to start exploring biological modelling. Importantly, it will also serve as an excellent guide for experienced modellers to innovate and improve their methodologies for analysing simulation results.

…Deutsch and Dormann strive to go beyond [an eye-balling] approach, and propose more quantifiable methods of analysis. This by itself is already of great importance to the field of biological modelling." —Mathematical Reviews

"This book focuses on [the] application of so-called lattice-gas cellular automaton models to the field of biological pattern formation.... In the book, the authors describe an interesting number of applications of the method in the field of biological pattern formation. The examples include tumor development, population growth, swarming behavior, and cell sorting.... The book is a good starting point for scientists and students [who] would like to move into the field of studying effects of spatial pattern formation in biology. The introductory chapters are fun reading.... The introduction to the lattice-gas method is thorough and sound, and the array of applications of the method to systems of biological pattern formation is impressive and inspiring.... I particularly like the format of suggesting potential further projects at the end of each chapter, which shows that the field is only starting and many research questions still have to be explored."—Mathematical Biosciences

"This is a very well written book on how to use cellular automaton, and especially Lattice-Gas-based Cellular Automaton (LGCA), to model various biological phenomena such as schools of fish, pigment distribution in salamanders, and tumor growth. It is suitable for researchers interested in modeling pattern formation, in general, and CA, or Turing patterns, in particular. It is also well adapted for graduate (and advanced undergraduate) students.... There are lists of highly interesting possible future research projects. Such lists are very valuable and show both that the field itself has potential for further research and that the authors are generous in sharing such problems. The book is well suited for a graduate course. Indeed parts of it might even be used in an undergraduate course.... I especially like the way Deutsch and Dormann give the historical background [of the field].... The authors show that [cellular automaton modeling] is a useful concept with great potential in many areas, and that CAs are more than preliminary toy models compared to "real" partial differential equation (PDE) models."—Genetic Programming and Evolvable Machines

"This monograph is a volume in the series Modeling and Simulation in Science, Engineering and Technology edited by the prestigious Birkhäuser Publishing House. It is aimed to undergraduates and graduates students as well as experienced researchers in mathematical biology." (Alexandru Carausu, Iasi Polytechnic Magazine, Vol. 28 (1/4), 2006)