Cellular Automata Models For Excitable Media
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| Author | : Andreas Deutsch |
| Publisher | : Birkhäuser |
| Total Pages | : 470 |
| Release | : 2018-03-09 |
| Genre | : Mathematics |
| ISBN | : 1489979808 |
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 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
| Author | : Richard J. Gaylord |
| Publisher | : Springer |
| Total Pages | : 266 |
| Release | : 2013-12-21 |
| Genre | : Science |
| ISBN | : 1468494058 |
A guide to using Mathematica so as to explore cellular automata within natural phenomena, such as insect colonies, bird flight paths and even DNA sequencing. Designed for physicists, life scientists, and engineers - in fact, everyone dealing with fractals - the book first introduces Mathematica before going on to provide the valuable information needed to properly motivate the code and run the simulations presented in the book. All these simulations have been tested both inside and outside the classroom setting, allowing the book's use as reference material as well as a textbook or course supplement. Packaged together with a DOS diskette enabling cross-platfform access to the code. The files will also be accessible via the World Wide Web.
| Author | : Kinko Tsuji |
| Publisher | : Springer |
| Total Pages | : 297 |
| Release | : 2019-04-04 |
| Genre | : Science |
| ISBN | : 3030057984 |
This richly illustrated book explores the fascinating and ubiquitous occurrence of spirals and vortices in human culture and in nature. Spiral forms have been used as elements in the arts for thousands of years, whereas their role in nature and science – from DNA and sea shells to galaxies – is still a topic of investigation in numerous fields. Following an introduction to the cultural history of spiral forms, the book presents contributions from leading experts, who describe the origins, mechanisms and dynamics of spirals and vortices in their special fields. As a whole the book provides a valuable source of information, while also taking the reader on an aesthetic and scientific journey through the world of spiral forms.
| Author | : Andrew Adamatzky |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 588 |
| Release | : 2002-05-13 |
| Genre | : Computers |
| ISBN | : 9781852335403 |
Collision-Based Computing presents a unique overview of computation with mobile self-localized patterns in non-linear media, including computation in optical media, mathematical models of massively parallel computers, and molecular systems. It covers such diverse subjects as conservative computation in billiard ball models and its cellular-automaton analogues, implementation of computing devices in lattice gases, Conway's Game of Life and discrete excitable media, theory of particle machines, computation with solitons, logic of ballistic computing, phenomenology of computation, and self-replicating universal computers. Collision-Based Computing will be of interest to researchers working on relevant topics in Computing Science, Mathematical Physics and Engineering. It will also be useful background reading for postgraduate courses such as Optical Computing, Nature-Inspired Computing, Artificial Intelligence, Smart Engineering Systems, Complex and Adaptive Systems, Parallel Computation, Applied Mathematics and Computational Physics.
| Author | : Sitabhra Sinha |
| Publisher | : CRC Press |
| Total Pages | : 322 |
| Release | : 2014-12-13 |
| Genre | : Mathematics |
| ISBN | : 1466552832 |
Excitable media comprise a class of models for a wide range of physical, chemical, and biological systems that exhibit spontaneous formation of spatial patterns. Patterns in Excitable Media: Genesis, Dynamics, and Control explores several aspects of the dynamics of such patterns—in particular their evolution upon interaction with structural and functional heterogeneities in the system. The book provides readers with an introduction to recent developments in the interdisciplinary field of dynamics and control of patterns in nonlinear biological systems described by excitable media models. It also discusses low-amplitude control schemes for eliminating such patterns from an excitable medium which has direct clinical relevance in view of the close connection to life-threatening cardiac arrhythmia.
| Author | : Bastien Chopard |
| Publisher | : Cambridge University Press |
| Total Pages | : 357 |
| Release | : 1998-12-10 |
| Genre | : Computers |
| ISBN | : 0521461685 |
Self-contained, pedagogic introduction to powerful techniques for graduate students and researchers in physics and computer science.
| Author | : Tommaso Toffoli |
| Publisher | : MIT Press |
| Total Pages | : 284 |
| Release | : 1987 |
| Genre | : Computers |
| ISBN | : 9780262200608 |
Theory of Computation -- Computation by Abstracts Devices.
| Author | : Samira El Yacoubi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 750 |
| Release | : 2006-09-19 |
| Genre | : Computers |
| ISBN | : 3540409297 |
This book constitutes the refereed proceedings of the 7th International Conference on Cellular Automata for Research and Industry, ACRI 2006. The book presents 53 revised full papers and 19 revised poster papers together with 6 invited lectures. Topical sections include CA theory and implementation, computational theory, population dynamics, physical modeling, urban, environmental and social modeling, traffic and boolean networks, multi-agents and robotics, as well as crowds and cellular automata, and more.
| Author | : Andrew Adamatzky |
| Publisher | : CRC Press |
| Total Pages | : 404 |
| Release | : 2001-06-22 |
| Genre | : Science |
| ISBN | : 1420034545 |
Computing in Nonlinear Media and Automata Collectives presents an account of new ways to design massively parallel computing devices in advanced mathematical models, such as cellular automata and lattice swarms, from unconventional materials, including chemical solutions, bio-polymers, and excitable media.
| Author | : Jörg R. Weimar |
| Publisher | : Logos Verlag Berlin |
| Total Pages | : 0 |
| Release | : 2003 |
| Genre | : Cellular automata |
| ISBN | : 9783897220263 |
This book is an introduction to cellular automata for students or scientists of any discipline wishing to simulate real or imagined systems with spatial extent. The concept of cellular automata is described in simple terms and the design decisions for using CA in simulation are discussed in detail. Hard- and software for cellular automata are presented with many examples are given, including reaction-diffusion systems, lattice gas models for fluid flow, traffic simulation, and others. Each chapter concludes with some exercise problems.
