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Construction And Analysis Of Lattice Gas Cellular Automata Models Of Collective Migration


Construction And Analysis Of Lattice Gas Cellular Automata Models Of Collective Migration
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Construction And Analysis Of Lattice Gas Cellular Automata Models Of Collective Migration


Construction And Analysis Of Lattice Gas Cellular Automata Models Of Collective Migration
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Author : Josué Manik Nava Sedeño
language : en
Publisher:
Release Date : 2018

Construction And Analysis Of Lattice Gas Cellular Automata Models Of Collective Migration written by Josué Manik Nava Sedeño 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.




Lattice Gas Cellular Automata And Lattice Boltzmann Models


Lattice Gas Cellular Automata And Lattice Boltzmann Models
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Author : Dieter A. Wolf-Gladrow
language : en
Publisher: Springer
Release Date : 2004-10-19

Lattice Gas Cellular Automata And Lattice Boltzmann Models written by Dieter A. Wolf-Gladrow and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-19 with Mathematics categories.


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.



Lattice Gas Cellular Automata In Modeling Biological Pattern Formation


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.



Pattern Formation And Lattice Gas Automata


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.



Mathematical Modeling Of Collective Behavior In Socio Economic And Life Sciences


Mathematical Modeling Of Collective Behavior In Socio Economic And Life Sciences
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Author : Giovanni Naldi
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-12

Mathematical Modeling Of Collective Behavior In Socio Economic And Life Sciences written by Giovanni Naldi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-12 with Mathematics categories.


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.



Designing Beauty The Art Of Cellular Automata


Designing Beauty The Art Of Cellular Automata
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Author : Andrew Adamatzky
language : en
Publisher: Springer
Release Date : 2016-01-05

Designing Beauty The Art Of Cellular Automata written by Andrew Adamatzky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-05 with Technology & Engineering categories.


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.



Cellular Automaton Modeling Of Biological Pattern Formation


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



Agent Based Models Of Geographical Systems


Agent Based Models Of Geographical Systems
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Author : Alison J. Heppenstall
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-24

Agent Based Models Of Geographical Systems written by Alison J. Heppenstall and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-24 with Social Science categories.


This unique book brings together a comprehensive set of papers on the background, theory, technical issues and applications of agent-based modelling (ABM) within geographical systems. This collection of papers is an invaluable reference point for the experienced agent-based modeller as well those new to the area. Specific geographical issues such as handling scale and space are dealt with as well as practical advice from leading experts about designing and creating ABMs, handling complexity, visualising and validating model outputs. With contributions from many of the world’s leading research institutions, the latest applied research (micro and macro applications) from around the globe exemplify what can be achieved in geographical context. This book is relevant to researchers, postgraduate and advanced undergraduate students, and professionals in the areas of quantitative geography, spatial analysis, spatial modelling, social simulation modelling and geographical information sciences.



Dynamics Of Cell And Tissue Motion


Dynamics Of Cell And Tissue Motion
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Author : Wolfgang Alt
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Dynamics Of Cell And Tissue Motion 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.


An interdisciplinary study explaining the dynamics underlying biological motion – one of the most obvious expressions of self-organization. Designed for a broad audience from bioscientists to applied mathematicians, this book considers possible synergetic mechanisms of interaction and cooperation on different microscopic levels.



Cellular Automata


Cellular Automata
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Author : Georgios Ch. Sirakoulis
language : en
Publisher: Springer
Release Date : 2012-09-20

Cellular Automata written by Georgios Ch. Sirakoulis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-20 with Computers categories.


This book constitutes the refereed proceedings of the 10th International Conference on Cellular Automata for Research and Industry, ACRI 2012, held in Santorini Island, Greece, in September 2012. The 88 revised papers were carefully selected from numerous submissions. In order to give a perspective in which both theoretical and applicational aspects of cellular automata contribute to the growth of the area, this book mirrors the structure of the conference, grouping the 88 papers into two main parts. The first part collects papers presented as part of the main conference and organized according to six main topics: theoretical results on cellular automata; cellular automata dynamics, control and synchronization; cellular automata and networks; modeling and simulation with cellular automata; cellular automata-based hardware and architectures; codes, pseudorandom number generators and cryptography with cellular automata. The second part of the volume is dedicated to contributions presented during the ACRI 2012 workshops on theoretical advances, specifically asynchronous cellular automata, and challenging application contexts for cellular automata: crowds and CA, traffic and CA, and the satellite Workshop on cellular automata of cancer growth and invasion.