Authors:
- An accessible presentation with an interdisciplinary approach to cellular automaton models of biological pattern formation
- Includes three new chapters on cell migration, tissue development, and cancer dynamics
- Suggestions for future research topics provided throughout the book
- Accompanying website, accessible via QR codes within the text, contains simulator for readers to perform their own simulations on several of the models covered
Part of the book series: Modeling and Simulation in Science, Engineering and Technology (MSSET)
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Table of contents (14 chapters)
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Front Matter
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General Principles and Models of Pattern Formation
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Front Matter
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Cellular Automaton Modeling
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Front Matter
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Applications
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Front Matter
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Back Matter
About this book
The book begins with an introduction to pattern-forming principles in biology and the various mathematical modeling techniques that can be used to analyze them. Cellular automaton models are then discussed in detail for different types of cellular processes and interactions, including random movement, cell migration, adhesive cell interaction, alignment and cellular swarming, growth processes, pigment cell pattern formation, tissue development, tumor growth and invasion, and Turing-type patterns and excitable media. In the final chapter, the authors critically discuss possibilities and limitations of the cellular automaton approach in modeling various biological applications, along with future research directions. Suggestions for research projects are provided throughout the book to encourage additional engagement with the material, and an accompanying simulator is available for readers to perform their own simulations on several of the models covered in the text. QR codes are included within the text for easy access to the simulator.
With its accessible presentation and interdisciplinary approach, Cellular Automaton Modeling of Biological Pattern Formation is suitable for graduate and advanced undergraduate students in mathematical biology, biological modeling, and biological computing. It will also be a valuable resource for researchers and practitioners in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science.
PRAISE FOR THE FIRST EDITION
“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.” —Mathematical Reviews
Reviews
Authors and Affiliations
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Centre for Information Services and High Performance Computing, Technische Universität Dresden, Dresden, Germany
Andreas Deutsch
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FB Mathematik/Informatik, Universität Osnabrück, Osnabrück, Germany
Sabine Dormann
About the authors
Sabine Dormann, PhD, Universität Osnabrück
Bibliographic Information
Book Title: Cellular Automaton Modeling of Biological Pattern Formation
Book Subtitle: Characterization, Examples, and Analysis
Authors: Andreas Deutsch, Sabine Dormann
Series Title: Modeling and Simulation in Science, Engineering and Technology
DOI: https://doi.org/10.1007/978-1-4899-7980-3
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2017
Hardcover ISBN: 978-1-4899-7978-0Published: 10 March 2018
eBook ISBN: 978-1-4899-7980-3Published: 09 March 2018
Series ISSN: 2164-3679
Series E-ISSN: 2164-3725
Edition Number: 2
Number of Pages: XXII, 464
Number of Illustrations: 94 b/w illustrations, 80 illustrations in colour
Topics: Physiological, Cellular and Medical Topics, Mathematical Modeling and Industrial Mathematics, Simulation and Modeling, Applications of Mathematics, Computer Appl. in Life Sciences