Buch, Englisch, 331 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 1500 g
Reihe: Modeling and Simulation in Science, Engineering and Technology
Characterization, Applications, and Analysis
Buch, Englisch, 331 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 1500 g
Reihe: Modeling and Simulation in Science, Engineering and Technology
ISBN: 978-0-8176-4281-5
Verlag: Birkhäuser
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.
Zielgruppe
Professional/practitioner
Fachgebiete
- Mathematik | Informatik EDV | Informatik Angewandte Informatik Bioinformatik
- Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
- Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
- Technische Wissenschaften Technik Allgemein Modellierung & Simulation
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Medizinische Mathematik & Informatik
- Naturwissenschaften Biowissenschaften Angewandte Biologie Bioinformatik
Weitere Infos & Material
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
