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Pattern Formation In Excitable Media
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Book Synopsis Patterns in Excitable Media by : Sitabhra Sinha
Download or read book Patterns in Excitable Media written by Sitabhra Sinha and published by CRC Press. This book was released on 2014-12-13 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 fun
Book Synopsis Pattern Formation in Excitable Media by : William Nash Reynolds
Download or read book Pattern Formation in Excitable Media written by William Nash Reynolds and published by . This book was released on 1992 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Wave Processes in Excitable Media by : Arunn V. Holden
Download or read book Nonlinear Wave Processes in Excitable Media written by Arunn V. Holden and published by Springer. This book was released on 2013-12-21 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a NATO ARW held in Leeds, UK, September 11-15, 1989
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 Birkhäuser. This book was released on 2018-03-09 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Pattern Formation and Dynamics in Nonequilibrium Systems by : Michael Cross
Download or read book Pattern Formation and Dynamics in Nonequilibrium Systems written by Michael Cross and published by Cambridge University Press. This book was released on 2009-07-16 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.
Book Synopsis Spatial Dynamics and Pattern Formation in Biological Populations by : Ranjit Kumar Upadhyay
Download or read book Spatial Dynamics and Pattern Formation in Biological Populations written by Ranjit Kumar Upadhyay and published by CRC Press. This book was released on 2021-02-23 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the fundamental concepts and mathematical skills required to analyse reaction-diffusion models for biological populations. Focuses on mathematical modeling and numerical simulations using basic conceptual and classic models of population dynamics, Virus and Brain dynamics. Covers wide range of models using spatial and non-spatial approaches. Covers single, two and multispecies reaction-diffusion models from ecology and models from bio-chemistry. Uses Mathematica for problem solving and MATLAB for pattern formations. Contains solved Examples and Problems in Exercises.
Book Synopsis Patterns and Dynamics in Reactive Media by : Rutherford Aris
Download or read book Patterns and Dynamics in Reactive Media written by Rutherford Aris and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since the seminal works on traveling waves and morphogenesis by Fisher, by Kolmogorov, Petrovski and Piscunov, and by Turing, scientists from many disciplines have been fascinated by questions concerning the formation of steady or dynamic patterns in reactive media. Contributions to this volume have been made by chemists, chemical engineers, mathematicians (both pure and applied), and physicists. The topics covered range from reports of experimental studies, through descriptions of numerical experiments, to rather abstract theoretical investigations, each exhibiting different aspects of a very diverse field.
Book Synopsis Epilepsy as a Dynamic Disease by : John Milton
Download or read book Epilepsy as a Dynamic Disease written by John Milton and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to bring together experts in epilepsy, bio-engineering and dynamical systems theory, to discuss the possibility of treating epilepsy by controlling mechanisms that cause seizures. It includes a unique reference database with more than 1000 references, including hard-to-access references in the Russian literature.
Book Synopsis Pattern Formation In The Physical And Biological Sciences by : H. Frederick Nijhout
Download or read book Pattern Formation In The Physical And Biological Sciences written by H. Frederick Nijhout and published by CRC Press. This book was released on 2018-02-19 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Lecture Notes Volume represents the first time any of the summer school lectures have been collected and published on a discrete subject rather than grouping all of a season's lectures together. This volume provides a broad survey of current thought on the problem of pattern formation. Spanning six years of summer school lectures, it includes articles which examine the origin and evolution of spatial patterns in physio-chemical and biological systems from a great diversity of theoretical and mechanistic perspectives. In addition, most of these pieces have been updated by their authors and three articles never previously published have been added.
Book Synopsis Spirals and Vortices by : Kinko Tsuji
Download or read book Spirals and Vortices written by Kinko Tsuji and published by Springer. This book was released on 2019-04-04 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Local Activity Principle by : Klaus Mainzer
Download or read book Local Activity Principle written by Klaus Mainzer and published by World Scientific. This book was released on 2013 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principle of local activity explains the emergence of complex patterns in a homogeneous medium. At first defined in the theory of nonlinear electronic circuits in a mathematically rigorous way, it can be generalized and proven at least for the class of nonlinear reactionOCodiffusion systems in physics, chemistry, biology, and brain research. Recently, it was realized by memristors for nanoelectronic device applications. In general, the emergence of complex patterns and structures is explained by symmetry breaking in homogeneous media, which is caused by local activity. This book argues that the principle of local activity is really fundamental in science, and can even be identified in quantum cosmology as symmetry breaking of local gauge symmetries generating the complexity of matter and forces in our universe. Applications are considered in economic, financial, and social systems with the emergence of equilibrium states, symmetry breaking at critical points of phase transitions and risky acting at the edge of chaos.
Book Synopsis Local Activity Principle: The Cause Of Complexity And Symmetry Breaking by : Mainzer Klaus
Download or read book Local Activity Principle: The Cause Of Complexity And Symmetry Breaking written by Mainzer Klaus and published by World Scientific. This book was released on 2013-03-15 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principle of local activity explains the emergence of complex patterns in a homogeneous medium. At first defined in the theory of nonlinear electronic circuits in a mathematically rigorous way, it can be generalized and proven at least for the class of nonlinear reaction-diffusion systems in physics, chemistry, biology, and brain research. Recently, it was realized by memristors for nanoelectronic device applications. In general, the emergence of complex patterns and structures is explained by symmetry breaking in homogeneous media, which is caused by local activity. This book argues that the principle of local activity is really fundamental in science, and can even be identified in quantum cosmology as symmetry breaking of local gauge symmetries generating the complexity of matter and forces in our universe. Applications are considered in economic, financial, and social systems with the emergence of equilibrium states, symmetry breaking at critical points of phase transitions and risky acting at the edge of chaos./a
Book Synopsis Computing in Nonlinear Media and Automata Collectives by : Andrew Adamatzky
Download or read book Computing in Nonlinear Media and Automata Collectives written by Andrew Adamatzky and published by CRC Press. This book was released on 2001-06-22 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology by :
Download or read book Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cellular Automata written by Jaroslaw Was and published by Springer. This book was released on 2014-09-12 with total page 729 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 11th International Conference on Cellular Automata for Research and Industry, ACRI 2014, held in Krakow, Poland, in September 2014. The 67 full papers and 7 short papers presented in this volume were carefully reviewed and selected from 125 submissions. They are organized in topical sections named: theoretical results on cellular automata; cellular automata dynamics and synchronization; modeling and simulation with cellular automata; cellular automata-based hardware and computing; cryptography, networks and pattern recognition with cellular automata. The volume also contains contributions from ACRI 2014 workshops on crowds and cellular automata; asynchronous cellular automata; traffic and cellular automata; and agent-based simulation and cellular automata.
Book Synopsis Pattern Formation In Complex Dissipative Systems: Fluid Patterns, Liquid Crystals, Chemical Reactions by : S Kai
Download or read book Pattern Formation In Complex Dissipative Systems: Fluid Patterns, Liquid Crystals, Chemical Reactions written by S Kai and published by World Scientific. This book was released on 1992-09-15 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, the problems of pattern formation in physics, chemistry and other related fields in complex and nonlinear dissipative systems are studied. Main subjects discussed are formation mechanisms, properties, statistics, characterization and dynamics of periodic and nonperiodic patterns in the electrohydrodynamics in liquid crystals, Rayleigh-Benard convection, crystallization, viscous fingering and Belouzov-Zhabotinsky chemical reaction. Recent developments in topological and defect-mediated chaos, chaos in systems with large degrees of freedom and turbulence-turbulence transitions are also discussed.
Book Synopsis Handbook of Applied Algorithms by : Amiya Nayak
Download or read book Handbook of Applied Algorithms written by Amiya Nayak and published by John Wiley & Sons. This book was released on 2007-11-09 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover the benefits of applying algorithms to solve scientific, engineering, and practical problems Providing a combination of theory, algorithms, and simulations, Handbook of Applied Algorithms presents an all-encompassing treatment of applying algorithms and discrete mathematics to practical problems in "hot" application areas, such as computational biology, computational chemistry, wireless networks, and computer vision. In eighteen self-contained chapters, this timely book explores: * Localized algorithms that can be used in topology control for wireless ad-hoc or sensor networks * Bioinformatics algorithms for analyzing data * Clustering algorithms and identification of association rules in data mining * Applications of combinatorial algorithms and graph theory in chemistry and molecular biology * Optimizing the frequency planning of a GSM network using evolutionary algorithms * Algorithmic solutions and advances achieved through game theory Complete with exercises for readers to measure their comprehension of the material presented, Handbook of Applied Algorithms is a much-needed resource for researchers, practitioners, and students within computer science, life science, and engineering. Amiya Nayak, PhD, has over seventeen years of industrial experience and is Full Professor at the School of Information Technology and Engineering at the University of Ottawa, Canada. He is on the editorial board of several journals. Dr. Nayak's research interests are in the areas of fault tolerance, distributed systems/algorithms, and mobile ad-hoc networks. Ivan StojmenoviC?, PhD, is Professor at the University of Ottawa, Canada (www.site.uottawa.ca/~ivan), and Chair Professor of Applied Computing at the University of Birmingham, United Kingdom. Dr. Stojmenovic? received the Royal Society Wolfson Research Merit Award. His current research interests are mostly in the design and analysis of algorithms for wireless ad-hoc and sensor networks.
