Pattern Formation And Lattice Gas Automata
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Pattern Formation And Lattice Gas Automata
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Author : Anna T. Lawniczak
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Pattern Formation And Lattice Gas Automata written by Anna T. Lawniczak and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Computers categories.
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.
Lattice Gas Cellular Automata In Modeling Biological Pattern Formation
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Author : Gizem Yuce
language : en
Publisher:
Release Date : 2018
Lattice Gas Cellular Automata In Modeling Biological Pattern Formation written by Gizem Yuce and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
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.
Orientation Induced Pattern Formation
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Author : Andreas Deutsch
language : en
Publisher:
Release Date : 1995
Orientation Induced Pattern Formation written by Andreas Deutsch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Cellular Automaton Modeling Of Biological Pattern Formation
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Author : Andreas Deutsch
language : en
Publisher: Birkhäuser
Release Date : 2018-03-09
Cellular Automaton Modeling Of Biological Pattern Formation written by Andreas Deutsch and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-09 with Mathematics categories.
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
Lattice Gas Dynamics
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Author : Jeffrey Yepez
language : en
Publisher:
Release Date : 1995
Lattice Gas Dynamics written by Jeffrey Yepez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Lattice gas categories.
The theory and computation of lattice gas dynamics for viscous fluid hydrodynamics is presented. Theoretical analysis of these exactly conserved, discrete models is done using the Boltzmann approximation, a mean-field theoretical treatment. Theoretical results are then compared to numerical data arrived by exactly computed simulations of simple lattice-gas systems. The numerical simulations presented were carried out on a prototype lattice-gas machine, the CAM-8, which is a virtual finegrained paralled mesh architecture suitable for discrete modeling in arbitrary dimensions. Single speed and multi-speed lattice gases are treated. The new contribution is an integer lattice gas with many particles per momentum state. Comparisons are made between the mean-field theory and numerical experiments for shear viscosity transport coefficient.
Long Range Lattice Gas Simulation On The Cam 8 Prototype
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Author : Jeffrey Yepez
language : en
Publisher:
Release Date : 1995
Long Range Lattice Gas Simulation On The Cam 8 Prototype written by Jeffrey Yepez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Cellular automata categories.
Polymer And Cell Dynamics
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Author : Wolfgang Alt
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Polymer And Cell Dynamics written by Wolfgang Alt and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Polymer and cell dynamics play an important role in processes like tumor growth, metastasis, embryogenesis, immune reactions and regeneration. Based on an international workshop on numerical simulations of polymer and cell dynamics in Bad Honnef (Germany) in 2000, this volume provides an overview of the relevant mathematical and numerical methods, their applications and limits. Polymer and Cell Dynamics will be of interest to scientists and advanced undergraduates.
Cellular Automata And Discrete Complex Systems
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Author : Jarkko Kari
language : en
Publisher: Springer
Release Date : 2013-09-10
Cellular Automata And Discrete Complex Systems written by Jarkko Kari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-10 with Computers categories.
The volume LNCS 8155 constitutes the refereed proceedings of the 19th International Workshop on Cellular Automata and Discrete Complex Systems, AUTOMATA 2013, held in Giessen, Germany, in September 2013. The 8 papers presented were carefully reviewed and selected from 26 submissions. The scope of the workshop spans the following areas the theoretical and practical aspects of a permanent, international, multidisciplinary forum for the collaboration of researchers in the field of Cellular Automata (CA) and Discrete Complex Systems (DCS), to provide a platform for presenting and discussing new ideas and results, to support the development of theory and applications of CA and DCS (e.g. parallel computing, physics, biology, social sciences, and others) as long as fundamental aspects and their relations are concerned, to identify and study within an inter- and multidisciplinary context, the important fundamental aspects, concepts, notions and problems concerning CA and DCS.
Nonlinear Physics For Beginners Fractals Chaos Solitons Pattern Formation Cellular Automata And Complex Systems
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Author : Lui Lam
language : en
Publisher: World Scientific Publishing Company
Release Date : 1998-03-31
Nonlinear Physics For Beginners Fractals Chaos Solitons Pattern Formation Cellular Automata And Complex Systems written by Lui Lam and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-03-31 with Science categories.
Almost all real systems are nonlinear. For a nonlinear system the superposition principle breaks down: The system's response is not proportional to the stimulus it receives; the whole is more than the sum of its parts. The three parts of this book contains the basics of nonlinear science, with applications in physics. Part I contains an overview of fractals, chaos, solitons, pattern formation, cellular automata and complex systems. In Part II, 14 reviews and essays by pioneers, as well as 10 research articles are reprinted. Part III collects 17 students projects, with computer algorithms for simulation models included.The book can be used for self-study, as a textbook for a one-semester course, or as supplement to other courses in linear or nonlinear systems. The reader should have some knowledge in introductory college physics. No mathematics beyond calculus and no computer literacy are assumed.
Pattern Formation Symmetry Methods And Applications
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Author : John M. Chadam
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Pattern Formation Symmetry Methods And Applications written by John M. Chadam and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
This volume contains the proceedings of two related workshops held at The Fields Institute in February and March 1993. The workshops were an integral part of the thematic year in Dynamical Systems and Bifurcation Theory held during the 1992-1993 academic year. This volume covers the full spectrum of research involved in combining symmetry methods with dynamical systems and bifurcation theory, from the development of the mathematical theory in order to understand the underlying mechanisms to the application of this new mathematical theory, to partial differential equation models of realistic ph.