Cellular Automaton Modeling of Biological Pattern Formation : Characterization, Examples, and Analysis. 2nd ed. 2017

種類:

電子ブック

責任表示:

by Andreas Deutsch, Sabine Dormann

出版情報:

Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2017

著者名:

• Deutsch, Andreas.
• Dormann, Sabine.
• SpringerLink (Online service)

シリーズ名:

Modeling and Simulation in Science, Engineering and Technology ;

ISBN:

9781489979803 [1489979808]    

注記:

Introduction and Outline -- On the Origin of Patterns -- Modeling Biological Pattern Formation -- Cellular Automata -- Random Movement -- Cell Migration -- Adhesive Cell Interaction -- Alignment and Cellular Swarming -- Growth Processes -- Pigment Cell Pattern Formation -- Tissue Development -- Tumor Growth and Invasion -- Turing Patterns and Excitable Media -- Discussion and Outlook -- Appendix A: Cell Migration -- Appendix B: Growth Processes -- Appendix C: Tumor Growth and Invasion -- Appendix D: Turing Patterns -- Appendix E: Excitable Media -- Appendix F: Isotropy, Lattices, and Tensors -- References -- Index.
This text explores the use of cellular automata in modeling pattern formation in biological systems. It describes several mathematical modeling approaches utilizing cellular automata that can be used to study the dynamics of interacting cell systems both in simulation and in practice. New in this edition are chapters covering cell migration, tissue development, and cancer dynamics, as well as updated references and new research topic suggestions that reflect the rapid development of the field. 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

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