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Construction And Analysis Of Lattice Gas Cellular Automata Models Of Collective Migration
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Book Synopsis Construction and Analysis of Lattice-gas Cellular Automata Models of Collective Migration by : Josué Manik Nava Sedeño
Download or read book Construction and Analysis of Lattice-gas Cellular Automata Models of Collective Migration written by Josué Manik Nava Sedeño and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lattice-Gas Cellular Automata and Lattice Boltzmann Models by : Dieter A. Wolf-Gladrow
Download or read book Lattice-Gas Cellular Automata and Lattice Boltzmann Models written by Dieter A. Wolf-Gladrow and published by Springer. This book was released on 2004-10-19 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new and promising methods for the numerical solution of nonlinear partial differential equations. The book provides an introduction for graduate students and researchers. Working knowledge of calculus is required and experience in PDEs and fluid dynamics is recommended. Some peculiarities of cellular automata are outlined in Chapter 2. The properties of various LGCA and special coding techniques are discussed in Chapter 3. Concepts from statistical mechanics (Chapter 4) provide the necessary theoretical background for LGCA and LBM. The properties of lattice Boltzmann models and a method for their construction are presented in Chapter 5.
Book Synopsis Lattice-gas Cellular Automata in Modeling Biological Pattern Formation by : Gizem Yuce
Download or read book Lattice-gas Cellular Automata in Modeling Biological Pattern Formation written by Gizem Yuce and published by . This book was released on 2018 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are several phenomena present in the physical world which can be defined or predicted by specific models. Cellular automata are basic mathematical models for characterization of natural systems by generating simple components and their local interactions. These models are specified on simple updating rules yet demonstrate complex behavior of physical phenomena. Besides this, lattice-gas cellular automata models go one step further and differ from cellular automata by having split updating rule into two parts as collision and propagation. In this study, the goal is to analyze hexagonal lattice-gas cellular automata with single cell type by using agent-based modeling and simulate the model with NetLogo to observe pattern formation. The model examination is focused on the two parameters for stability analysis. The results show that if there is a pattern formation in the model, the system is unstable, and if the patches are smaller and lighter patches, it is stable. Furthermore, the analysis for the choice of particle density and adhesion coefficient displayed that they are the main decision-mechanisms for general structure.
Book Synopsis Pattern Formation and Lattice gas Automata by : Anna T. Lawniczak
Download or read book Pattern Formation and Lattice gas Automata written by Anna T. Lawniczak and published by American Mathematical Soc.. This book was released on 1996 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles review the diverse recent progress in the theory and development of lattice-gas and lattice Boltzmann methods and their applications. It features up-to-date articles, takes an interdisciplinary approach including mathematics, physical chemistry, and geophysics.
Book Synopsis New Constructions in Cellular Automata by : David Griffeath
Download or read book New Constructions in Cellular Automata written by David Griffeath and published by Oxford University Press. This book was released on 2003-03-27 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book not only discusses cellular automata (CA) as accouterment for simulation, but also the actual building of devices within cellular automata. CA are widely used tools for simulation in physics, ecology, mathematics, and other fields. But they are also digital "toy universes" worthy of study in their own right, with their own laws of physics and behavior. In studying CA for their own sake, we must look at constructive methods, that is the practice of actually building devices in a given CA that store and process in formation, replicate, and propagate themselves, and interact with other devices in complex ways. By building such machines, we learn what the CA's dynamics are capable of, and build an intuition about how to "engineer" the machine we want. We can also address fundamental questions, such as whether universal computation or even "living" things that reproduce and evolve can exist in the CA's digital world, and perhaps, how these things came to be in out own universe.
Book Synopsis Cellular Automaton Modeling of Biological Pattern Formation by : Andreas Deutsch
Download or read book Cellular Automaton Modeling of Biological Pattern Formation written by Andreas Deutsch and published by Springer Science & Business Media. This book was released on 2007-12-26 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Cellular Automata by : Howard Gutowitz
Download or read book Cellular Automata written by Howard Gutowitz and published by MIT Press. This book was released on 1991 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thirty four contributions in this book cover many aspects of contemporary studies on cellular automata and include reviews, research reports, and guides to recent literature and available software. Cellular automata, dynamic systems in which space and time are discrete, are yielding interesting applications in both the physical and natural sciences. The thirty four contributions in this book cover many aspects of contemporary studies on cellular automata and include reviews, research reports, and guides to recent literature and available software. Chapters cover mathematical analysis, the structure of the space of cellular automata, learning rules with specified properties: cellular automata in biology, physics, chemistry, and computation theory; and generalizations of cellular automata in neural nets, Boolean nets, and coupled map lattices.Current work on cellular automata may be viewed as revolving around two central and closely related problems: the forward problem and the inverse problem. The forward problem concerns the description of properties of given cellular automata. Properties considered include reversibility, invariants, criticality, fractal dimension, and computational power. The role of cellular automata in computation theory is seen as a particularly exciting venue for exploring parallel computers as theoretical and practical tools in mathematical physics. The inverse problem, an area of study gaining prominence particularly in the natural sciences, involves designing rules that possess specified properties or perform specified task. A long-term goal is to develop a set of techniques that can find a rule or set of rules that can reproduce quantitative observations of a physical system. Studies of the inverse problem take up the organization and structure of the set of automata, in particular the parameterization of the space of cellular automata. Optimization and learning techniques, like the genetic algorithm and adaptive stochastic cellular automata are applied to find cellular automaton rules that model such physical phenomena as crystal growth or perform such adaptive-learning tasks as balancing an inverted pole.Howard Gutowitz is Collaborateur in the Service de Physique du Solide et Résonance Magnetique, Commissariat a I'Energie Atomique, Saclay, France.
Book Synopsis Cellular Automata And Complexity by : Stephen Wolfram
Download or read book Cellular Automata And Complexity written by Stephen Wolfram and published by CRC Press. This book was released on 2018-03-08 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are mathematical equations the best way to model nature? For many years it had been assumed that they were. But in the early 1980s, Stephen Wolfram made the radical proposal that one should instead build models that are based directly on simple computer programs. Wolfram made a detailed study of a class of such models known as cellular automata, and discovered a remarkable fact: that even when the underlying rules are very simple, the behaviour they produce can be highly complex, and can mimic many features of what we see in nature. And based on this result, Wolfram began a program of research to develop what he called A Science of Complexity."The results of Wolfram's work found many applications, from the so-called Wolfram Classification central to fields such as artificial life, to new ideas about cryptography and fluid dynamics. This book is a collection of Wolfram's original papers on cellular automata and complexity. Some of these papers are widely known in the scientific community others have never been published before. Together, the papers provide a highly readable account of what has become a major new field of science, with important implications for physics, biology, economics, computer science and many other areas.
Book Synopsis Cellular Automata and Modeling of Complex Physical Systems by : Paul Manneville
Download or read book Cellular Automata and Modeling of Complex Physical Systems written by Paul Manneville and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cellular automata are fully discrete dynamical systems with dynamical variables defined at the nodes of a lattice and taking values in a finite set. Application of a local transition rule at each lattice site generates the dynamics. The interpretation of systems with a large number of degrees of freedom in terms of lattice gases has received considerable attention recently due to the many applications of this approach, e.g. for simulating fluid flows under nearly realistic conditions, for modeling complex microscopic natural phenomena such as diffusion-reaction or catalysis, and for analysis of pattern-forming systems. The discussion in this book covers aspects of cellular automata theory related to general problems of information theory and statistical physics, lattice gas theory, direct applications, problems arising in the modeling of microscopic physical processes, complex macroscopic behavior (mostly in connection with turbulence), and the design of special-purpose computers.
Book Synopsis New Methods and Paradigms for Modeling Dynamic Processes Based on Cellular Automata by : Bilan, Stepan Mykolayovych
Download or read book New Methods and Paradigms for Modeling Dynamic Processes Based on Cellular Automata written by Bilan, Stepan Mykolayovych and published by IGI Global. This book was released on 2020-10-16 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The accelerating development of computer technology and communications can replace many of the functions of human intellectual activity, as well as help them in making decisions in various situations of their lives. To implement intelligent functions for various purposes, numerous models, paradigms, architectures, and hardware and software are being developed. Because the world is constantly evolving, there is a need to constantly study various dynamic processes to determine possible negative situations that can lead to undesirable catastrophic phenomena and changes. Recently, more attention has been paid to the study of natural processes in nature. Scientific works are appearing that describe the behavior and development of living organisms and the processes of their interaction. Cellular automata are increasingly used to describe and model them. New Methods and Paradigms for Modeling Dynamic Processes Based on Cellular Automata is a collection of innovative research that describes the models and paradigms of building cellular automata that allows for the simulation of the dynamics of the interaction of living organisms from a different scientific point of view. For this, asynchronous cellular automata with a dynamically changing number of “living” cells are used. The chapters describe the theoretical concepts of constructing asynchronous cellular automata with active cells. Much attention is paid to the use of the proposed theoretical principles for solving modeling problems and solving specific applied problems of forming pseudorandom sequences and image processing based on modeling of the human visual channel. Featuring research on topics such as colony interaction, image processing and recognition, and influence mode, this book is ideally designed for engineers, programmers, software developers, researchers, academicians, and students.
Book Synopsis Cellular Automata: Analysis and Applications by : Karl-Peter Hadeler
Download or read book Cellular Automata: Analysis and Applications written by Karl-Peter Hadeler and published by Springer. This book was released on 2017-05-27 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the main approaches used to analyze the dynamics of cellular automata. Cellular automata are an indispensable tool in mathematical modeling. In contrast to classical modeling approaches like partial differential equations, cellular automata are relatively easy to simulate but difficult to analyze. In this book we present a review of approaches and theories that allow the reader to understand the behavior of cellular automata beyond simulations. The first part consists of an introduction to cellular automata on Cayley graphs, and their characterization via the fundamental Cutis-Hedlund-Lyndon theorems in the context of various topological concepts (Cantor, Besicovitch and Weyl topology). The second part focuses on classification results: What classification follows from topological concepts (Hurley classification), Lyapunov stability (Gilman classification), and the theory of formal languages and grammars (Kůrka classification)? These classifications suggest that cellular automata be clustered, similar to the classification of partial differential equations into hyperbolic, parabolic and elliptic equations. This part of the book culminates in the question of whether the properties of cellular automata are decidable. Surjectivity and injectivity are examined, and the seminal Garden of Eden theorems are discussed. In turn, the third part focuses on the analysis of cellular automata that inherit distinct properties, often based on mathematical modeling of biological, physical or chemical systems. Linearity is a concept that allows us to define self-similar limit sets. Models for particle motion show how to bridge the gap between cellular automata and partial differential equations (HPP model and ultradiscrete limit). Pattern formation is related to linear cellular automata, to the Bar-Yam model for the Turing pattern, and Greenberg-Hastings automata for excitable media. In addition, models for sand piles, the dynamics of infectious d
Book Synopsis Theory of Practical Cellular Automaton by : Xuewei Li
Download or read book Theory of Practical Cellular Automaton written by Xuewei Li and published by Springer. This book was released on 2018-05-17 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the intellectual foundations, function, modeling approaches and complexity of cellular automata; explores cellular automata in combination with genetic algorithms, neural networks and agents; and discusses the applications of cellular automata in economics, traffic and the spread of disease. Pursuing a blended approach between knowledge and philosophy, it assigns equal value to methods and applications.
Book Synopsis Cellular Automata and Discrete Complex Systems by : Jarkko Kari
Download or read book Cellular Automata and Discrete Complex Systems written by Jarkko Kari and published by Springer. This book was released on 2015-06-03 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the thoroughly refereed proceedings of the 21st International Workshop on Cellular Automata and Discrete Complex Systems, AUTOMATA 2015, held in Turku, Finland, in June 2015. This volume contains 4 invited talks in full-paper length and 15 regular papers, which were carefully reviewed and selected from a total of 33 submissions. Topics of interest include, the following aspects and features of such systems: dynamical, topological, ergodic and algebraic aspects; algorithmic and complexity issues; emergent properties; formal language processing aspects; symbolic dynamics; models of parallelism and distributed systems; timing schemes; phenomenological descriptions; scientific modeling; and practical applications.
Book Synopsis Cellular Automata Modeling of Physical Systems by : Bastien Chopard
Download or read book Cellular Automata Modeling of Physical Systems written by Bastien Chopard and published by Cambridge University Press. This book was released on 1998-12-10 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained, pedagogic introduction to powerful techniques for graduate students and researchers in physics and computer science.
Book Synopsis Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences by : Giovanni Naldi
Download or read book Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences written by Giovanni Naldi and published by Springer Science & Business Media. This book was released on 2010-08-12 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.
Book Synopsis Designing Beauty: The Art of Cellular Automata by : Andrew Adamatzky
Download or read book Designing Beauty: The Art of Cellular Automata written by Andrew Adamatzky and published by Springer. This book was released on 2016-01-05 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating, colourful book offers in-depth insights and first-hand working experiences in the production of art works, using simple computational models with rich morphological behaviour, at the edge of mathematics, computer science, physics and biology. It organically combines ground breaking scientific discoveries in the theory of computation and complex systems with artistic representations of the research results. In this appealing book mathematicians, computer scientists, physicists, and engineers brought together marvelous and esoteric patterns generated by cellular automata, which are arrays of simple machines with complex behavior. Configurations produced by cellular automata uncover mechanics of dynamic patterns formation, their propagation and interaction in natural systems: heart pacemaker, bacterial membrane proteins, chemical rectors, water permeation in soil, compressed gas, cell division, population dynamics, reaction-diffusion media and self-organisation. The book inspires artists to take on cellular automata as a tool of creativity and it persuades scientists to convert their research results into the works of art. The book is lavishly illustrated with visually attractive examples, presented in a lively and easily accessible manner.
Book Synopsis A New Mechanism of Aggregation in a Lattice Gas Cellular Automaton Model by : Andreas Deutsch
Download or read book A New Mechanism of Aggregation in a Lattice Gas Cellular Automaton Model written by Andreas Deutsch and published by . This book was released on 1998 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
