Pattern Formation In Excitable Media

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Patterns in Excitable Media

Author : Sitabhra Sinha
Publisher : CRC Press
ISBN 13 : 1466552832
Total Pages : 322 pages
Book Rating : 4.4/5 (665 download)

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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 322 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 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.

Pattern Formation in Excitable Media

Author : Ehud Meron
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (288 download)

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Book Synopsis Pattern Formation in Excitable Media by : Ehud Meron

Download or read book Pattern Formation in Excitable Media written by Ehud Meron and published by . This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Pattern Formation in Excitable Media

Author : William Nash Reynolds
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (318 download)

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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:

Patterns in Excitable Media

Author : Sitabhra Sinha
Publisher : CRC Press
ISBN 13 : 1466552840
Total Pages : 318 pages
Book Rating : 4.4/5 (665 download)

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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 318 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

Noise Induced Pattern Formation in Excitable Media

Author : Valentina Beato
Publisher :
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4.:/5 (637 download)

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Book Synopsis Noise Induced Pattern Formation in Excitable Media by : Valentina Beato

Download or read book Noise Induced Pattern Formation in Excitable Media written by Valentina Beato and published by . This book was released on 2006 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Resonant pattern formation in excitable chemical media

Author : Karl Albert Martinez
Publisher :
ISBN 13 :
Total Pages : 90 pages
Book Rating : 4.:/5 (49 download)

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Book Synopsis Resonant pattern formation in excitable chemical media by : Karl Albert Martinez

Download or read book Resonant pattern formation in excitable chemical media written by Karl Albert Martinez and published by . This book was released on 2001 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Pattern Formation and Dynamics in Nonequilibrium Systems

Author : Michael Cross
Publisher : Cambridge University Press
ISBN 13 : 0521770505
Total Pages : 547 pages
Book Rating : 4.5/5 (217 download)

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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.

Synchronization and Waves in Active Media

Author : Jan Frederik Totz
Publisher : Springer
ISBN 13 : 3030110575
Total Pages : 164 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Synchronization and Waves in Active Media by : Jan Frederik Totz

Download or read book Synchronization and Waves in Active Media written by Jan Frederik Totz and published by Springer. This book was released on 2019-01-18 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interplay between synchronization and spatio-temporal pattern formation is central for a broad variety of phenomena in nature, such as the coordinated contraction of heart tissue, associative memory and learning in neural networks, and pathological synchronization during Parkinson disease or epilepsy. In this thesis, three open puzzles of fundametal research in Nonlinear Dynamics are tackled: How does spatial confinement affect the dynamics of three-dimensional vortex rings? What role do permutation symmetries play in the spreading of excitation waves on networks? Does the spiral wave chimera state really exist? All investigations combine a theoretical approach and experimental verification, which exploit an oscillatory chemical reaction. A novel experimental setup is developed that allows for studying networks with N > 1000 neuromorphic relaxation oscillators. It facilitates the free choice of network topology, coupling function as well as its strength, range and time delay, which can even be chosen as time-dependent. These experimental capabilities open the door to a broad range of future experimental inquiries into pattern formation and synchronization on large networks, which were previously out of reach.

Nonlinear Wave Processes in Excitable Media

Author : Arunn V. Holden
Publisher : Springer
ISBN 13 : 1489936831
Total Pages : 511 pages
Book Rating : 4.4/5 (899 download)

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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

Analysis And Control Of Complex Nonlinear Processes In Physics, Chemistry And Biology

Author : Lutz Schimansky-geier
Publisher : World Scientific
ISBN 13 : 9814475793
Total Pages : 453 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Analysis And Control Of Complex Nonlinear Processes In Physics, Chemistry And Biology by : Lutz Schimansky-geier

Download or read book Analysis And Control Of Complex Nonlinear Processes In Physics, Chemistry And Biology written by Lutz Schimansky-geier and published by World Scientific. This book was released on 2007-01-30 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear dynamics of complex processes is an active research field with large numbers of publications in basic research, and broad applications from diverse fields of science. Nonlinear dynamics as manifested by deterministic and stochastic evolution models of complex behavior has entered statistical physics, physical chemistry, biophysics, geophysics, astrophysics, theoretical ecology, semiconductor physics and -optics, etc. This field of research has induced a new terminology in science connected with new questions, problems, solutions and methods. New scenarios have emerged for spatio-temporal structures in dynamical systems far from equilibrium. Their analysis and possible control are intriguing and challenging aspects of the current research.The duality of fundamental and applied research is a focal point of its main attractivity and fascination. Basic topics and foundations are always linked to concrete and precise examples. Models and measurements of complex nonlinear processes evoke and provoke new fundamental questions that diversify and broaden the mathematical concepts and tools. In return, new mathematical approaches to modeling and analysis enlarge the scope and efficiency of applied research.

Pattern Formation In Complex Dissipative Systems: Fluid Patterns, Liquid Crystals, Chemical Reactions

Author : S Kai
Publisher : World Scientific
ISBN 13 : 9814555339
Total Pages : 596 pages
Book Rating : 4.8/5 (145 download)

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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.

Cellular Automata

Author : Jaroslaw Was
Publisher : Springer
ISBN 13 : 3319115200
Total Pages : 729 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Cellular Automata by : Jaroslaw Was

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.

Spatial Dynamics and Pattern Formation in Biological Populations

Author : Ranjit Kumar Upadhyay
Publisher : CRC Press
ISBN 13 : 100033435X
Total Pages : 280 pages
Book Rating : 4.0/5 (3 download)

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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 2021-02-24 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to deterministic (and some stochastic) modeling of spatiotemporal phenomena in ecology, epidemiology, and neural systems. A survey of the classical models in the fields with up to date applications is given. The book begins with detailed description of how spatial dynamics/diffusive processes influence the dynamics of biological populations. These processes play a key role in understanding the outbreak and spread of pandemics which help us in designing the control strategies from the public health perspective. A brief discussion on the functional mechanism of the brain (single neuron models and network level) with classical models of neuronal dynamics in space and time is given. Relevant phenomena and existing modeling approaches in ecology, epidemiology and neuroscience are introduced, which provide examples of pattern formation in these models. The analysis of patterns enables us to study the dynamics of macroscopic and microscopic behaviour of underlying systems and travelling wave type patterns observed in dispersive systems. Moving on to virus dynamics, authors present a detailed analysis of different types models of infectious diseases including two models for influenza, five models for Ebola virus and seven models for Zika virus with diffusion and time delay. A Chapter is devoted for the study of Brain Dynamics (Neural systems in space and time). Significant advances made in modeling the reaction-diffusion systems are presented and spatiotemporal patterning in the systems is reviewed. Development of appropriate mathematical models and detailed analysis (such as linear stability, weakly nonlinear analysis, bifurcation analysis, control theory, numerical simulation) are presented. Key Features Covers the fundamental concepts and mathematical skills required to analyse reaction-diffusion models for biological populations. Concepts are introduced in such a way that readers with a basic knowledge of differential equations and numerical methods can understand the analysis. The results are also illustrated with figures. 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. Models are analysed for stability of equilibrium points, Turing instability, Hopf bifurcation and pattern formations. Uses Mathematica for problem solving and MATLAB for pattern formations. Contains solved Examples and Problems in Exercises. The Book is suitable for advanced undergraduate, graduate and research students. For those who are working in the above areas, it provides information from most of the recent works. The text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses.

Handbook of Applied Algorithms

Author : Amiya Nayak
Publisher : John Wiley & Sons
ISBN 13 : 9780470175644
Total Pages : 560 pages
Book Rating : 4.1/5 (756 download)

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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.

Non-Equilibrium Dynamics in Chemical Systems

Author : C. Vidal
Publisher : Springer Science & Business Media
ISBN 13 : 3642701965
Total Pages : 260 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Non-Equilibrium Dynamics in Chemical Systems by : C. Vidal

Download or read book Non-Equilibrium Dynamics in Chemical Systems written by C. Vidal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Markedly apart from elementary particle physics, another current has been building up and cont i nuous ly growi ng within contemporary phys i cs for severa 1 decades, and even expanding into many other disciplines, especially chemistry, biology and, quite recently, economics. Several reasons account for this: presumably the most impor tant one lies in the fact that, whatever the specific problem, model or material concerned, the same basic mathematical features are always involved. In this way, a general phenomenology has emerged which, unlike thermodynamics, is no longer depen dent upon the details or specifics: what largely prevails is the nonlinear charac ter of the underlying dynamics. Perhaps we are witnessing the emergence of a "non linear physics"--In a way similar to the birth of "quantum physics" in the twen ties - a physics which deals with the general behaviour of systems, whatever they are or may be. Over the past fifteen years, chemical systems evolving sufficiently far from equilibrium have proved to be particularly well fitted to experimental research on nonlinear behaviour: oscillation, multistability, birhythmicity, chaotic evolution, spatial self-organization and hysteresis are displayed by chemical reactions whose number is growing each year. In this volume are collected the lectures, communica tions and posters (abstracts) presented at an international meeting entitled: "Non-Equilibrium Dynamics in Chemical Systems", held in Bordeaux (France), Septem ber 3 rd-lth, 1984.

Pattern Formation In The Physical And Biological Sciences

Author : H. Frederick Nijhout
Publisher : CRC Press
ISBN 13 : 042996191X
Total Pages : 459 pages
Book Rating : 4.4/5 (299 download)

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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 459 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.

Spirals and Vortices

Author : Kinko Tsuji
Publisher : Springer
ISBN 13 : 3030057984
Total Pages : 297 pages
Book Rating : 4.0/5 (3 download)

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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.