Spatio Temporal Pattern Formation

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Spatio-Temporal Pattern Formation

Author : Daniel Walgraef
Publisher : Springer Science & Business Media
ISBN 13 : 1461218500
Total Pages : 310 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Spatio-Temporal Pattern Formation by : Daniel Walgraef

Download or read book Spatio-Temporal Pattern Formation written by Daniel Walgraef and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatio-temporal patterns appear almost everywhere in nature, and their description and understanding still raise important and basic questions. However, if one looks back 20 or 30 years, definite progress has been made in the modeling of insta bilities, analysis of the dynamics in their vicinity, pattern formation and stability, quantitative experimental and numerical analysis of patterns, and so on. Universal behaviors of complex systems close to instabilities have been determined, leading to the wide interdisciplinarity of a field that is now referred to as nonlinear science or science of complexity, and in which initial concepts of dissipative structures or synergetics are deeply rooted. In pioneering domains related to hydrodynamics or chemical instabilities, the interactions between experimentalists and theoreticians, sometimes on a daily basis, have been a key to progress. Everyone in the field praises the role played by the interactions and permanent feedbacks between ex perimental, numerical, and analytical studies in the achievements obtained during these years. Many aspects of convective patterns in normal fluids, binary mixtures or liquid crystals are now understood and described in this framework. The generic pres ence of defects in extended systems is now well established and has induced new developments in the physics of laser with large Fresnel numbers. Last but not least, almost 40 years after his celebrated paper, Turing structures have finally been ob tained in real-life chemical reactors, triggering anew intense activity in the field of reaction-diffusion systems.

Bifurcation Theory and Spatio-Temporal Pattern Formation

Author : Wayne Nagata
Publisher : American Mathematical Soc.
ISBN 13 : 0821837257
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Bifurcation Theory and Spatio-Temporal Pattern Formation by : Wayne Nagata

Download or read book Bifurcation Theory and Spatio-Temporal Pattern Formation written by Wayne Nagata and published by American Mathematical Soc.. This book was released on 2006-10-03 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear dynamical systems and the formation of spatio-temporal patterns play an important role in current research on partial differential equations. This book contains articles on topics of current interest in applications of dynamical systems theory to problems of pattern formation in space and time. Topics covered include aspects of lattice dynamical systems, convection in fluid layers with large aspect ratios, mixed mode oscillations and canards, bacterial remediation of waste, gyroscopic systems, data clustering, and the second part of Hilbert's 16th problem. Most of the book consists of expository survey material, and so can serve as a source of convenient entry points to current research topics in nonlinear dynamics and pattern formation. This volume arose from a workshop held at the Fields Institute in December of 2003, honoring Professor William F. Langford's fundamental work on the occasion of his sixtieth birthday. Information for our distributors: Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

On Growth and Form

Author : M. A. J. Chaplain
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis On Growth and Form by : M. A. J. Chaplain

Download or read book On Growth and Form written by M. A. J. Chaplain and published by John Wiley & Sons. This book was released on 1999 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: On Growth and Form Spatio-temporal Pattern Formation in Biology M. A. J. Chaplain and G. D. Singh, both of the University of Dundee, UK J. C. McLachlan, St. Andrews University, UK Spatio-temporal pattern formation is a major area of research within the subject of mathematical biology. The topic involves the use of mathematical modelling to analyse how patterns in biology are created and develop. For example, the growth, over time, of the intricate and beautiful patterns on certain sea-shells or the striped markings on a tiger can be modelled and their development predicted in terms of non-linear mathematical processes. The current volume captures the breadth of recent research into various aspects of spatio-temporal pattern and form, such as development biology, reaction-diffusion systems and morphometrics. * Brings the ideas of the classic On Growth and Form by D'Arcy Thompson, the founding classic of mathematical biology, fully up to date and looks to future developments in the subject * Foreword provided by Professor John Tyler Bonner, Princeton University * World class collection of internationally renowned contributors from both experimental and theoretical backgrounds Taking its inspiration from D'Arcy Thompson's classic and still influential volume On Growth and Form, this new volume presents a collection of 21 articles from the Plenary Speakers of the recent D'Arcy Thompson Conference, held at the University of Dundee, 20-24 September 1998. The topics covered include pattern formation in development biology, reaction-diffusion systems, intercellular systems and morphometrics, offering the reader a stimulating blend of theory and experiment. This book will be of particular interest to bio-mathematicians and development biologists. Paediatric clinicians, evolutionary biologists, orthodontists, anatomists, physiologists and many other members of the biology community will also benefit greatly from it.

Spatiotemporal Patterns in Ecology and Epidemiology

Author : Horst Malchow
Publisher : CRC Press
ISBN 13 : 1482286130
Total Pages : 464 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Spatiotemporal Patterns in Ecology and Epidemiology by : Horst Malchow

Download or read book Spatiotemporal Patterns in Ecology and Epidemiology written by Horst Malchow and published by CRC Press. This book was released on 2007-12-26 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the spatial dimension of ecosystem dynamics is now widely recognized, the specific mechanisms behind species patterning in space are still poorly understood and the corresponding theoretical framework is underdeveloped. Going beyond the classical Turing scenario of pattern formation, Spatiotemporal Patterns in Ecology and Epidemiology:

Spatio-temporal Patterns in Nonequilibrium Complex Systems

Author : P. E. Cladis
Publisher :
ISBN 13 :
Total Pages : 679 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Spatio-temporal Patterns in Nonequilibrium Complex Systems by : P. E. Cladis

Download or read book Spatio-temporal Patterns in Nonequilibrium Complex Systems written by P. E. Cladis and published by . This book was released on 1995 with total page 679 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Dynamics

Author : Muthusamy Lakshmanan
Publisher : Springer Science & Business Media
ISBN 13 : 3642556884
Total Pages : 628 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Nonlinear Dynamics by : Muthusamy Lakshmanan

Download or read book Nonlinear Dynamics written by Muthusamy Lakshmanan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.

Cellular Automaton Modeling of Biological Pattern Formation

Author : Andreas Deutsch
Publisher : Birkhäuser
ISBN 13 : 1489979808
Total Pages : 464 pages
Book Rating : 4.4/5 (899 download)

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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

Spatio-temporal Patterns In Nonequilibrium Complex Systems

Author : Patricia E. Cladis
Publisher : Westview Press
ISBN 13 : 9780201409840
Total Pages : 679 pages
Book Rating : 4.4/5 (98 download)

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Book Synopsis Spatio-temporal Patterns In Nonequilibrium Complex Systems by : Patricia E. Cladis

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.

Transverse-Pattern Formation in Photorefractive Optics

$Download Transverse-Pattern Formation in Photorefractive Optics PDF Online Free$

Author : Cornelia Denz
Publisher : Springer Science & Business Media
ISBN 13 : 9783540021094
Total Pages : 360 pages
Book Rating : 4.0/5 (21 download)

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Book Synopsis Transverse-Pattern Formation in Photorefractive Optics by : Cornelia Denz

Download or read book Transverse-Pattern Formation in Photorefractive Optics written by Cornelia Denz and published by Springer Science & Business Media. This book was released on 2003-09-22 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Overview of current developments in nonlinear photorefractive optics. The book dicusses exciting discoveries, with special emphasis on transverse effects such as spatial soliton formation and interaction, spontaneous pattern formation and pattern competition in active feedback systems. Different aspects of potential applications, such as wave guiding in adaptive photorefractive solitons and techniques for pattern control for information processing, are also described.

Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors

Author : Eckehard Schöll
Publisher : Cambridge University Press
ISBN 13 : 0521451868
Total Pages : 422 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors by : Eckehard Schöll

Download or read book Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors written by Eckehard Schöll and published by Cambridge University Press. This book was released on 2001-02-22 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together concepts from semiconductor physics, nonlinear-dynamics and chaos to examine semiconductor transport phenomena.

Identification of Dynamical Models of Spatio-temporal Pattern Formation with Applications to Slime Mould

Author : Shu Wang
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (926 download)

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Book Synopsis Identification of Dynamical Models of Spatio-temporal Pattern Formation with Applications to Slime Mould by : Shu Wang

Download or read book Identification of Dynamical Models of Spatio-temporal Pattern Formation with Applications to Slime Mould written by Shu Wang and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spatio-Temporal Patterns in Nonequilibrium Complex Systems

Author : Breyer
Publisher : Addison Wesley Longman
ISBN 13 : 9780201149395
Total Pages : 704 pages
Book Rating : 4.1/5 (493 download)

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Book Synopsis Spatio-Temporal Patterns in Nonequilibrium Complex Systems by : Breyer

Download or read book Spatio-Temporal Patterns in Nonequilibrium Complex Systems written by Breyer and published by Addison Wesley Longman. This book was released on 1968-01 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spatio-temporal Pattern Formation During CO Oxidation on Pt(110)

Author : Ulrich Brackenhammer
Publisher :
ISBN 13 :
Total Pages : 318 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Spatio-temporal Pattern Formation During CO Oxidation on Pt(110) by : Ulrich Brackenhammer

Download or read book Spatio-temporal Pattern Formation During CO Oxidation on Pt(110) written by Ulrich Brackenhammer and published by . This book was released on 1994 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spatio-temporal Patterns In Nonequilibrium Complex Systems

Author : Patricia E. Cladis
Publisher : Westview Press
ISBN 13 :
Total Pages : 720 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Spatio-temporal Patterns In Nonequilibrium Complex Systems by : Patricia E. Cladis

Download or read book Spatio-temporal Patterns In Nonequilibrium Complex Systems written by Patricia E. Cladis and published by Westview Press. This book was released on 1995-01-20 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the NATO Advanced Research Workshop, upon which this book is based, was to bring together experimentalists and theorists from many different fields, ranging from applied mathematics to materials science, but unified by their intrigue with nonlinear phenomena, in search of a deeper understanding of patterns in complex systems. To meet this goal, the participants made the effort to build bridges across canonical disciplinary boundaries by sharing what they thought was significant and relevant in search of the “truly significant simplicity of the basic laws of nature embedded in the amazing complexity of natural phenomena.” Spatio-Temporal Patterns in Nonequilibrium Complex Systems is one of the most exciting and fastest-growing branches of physics that impacts fields as diverse as new technologies and processes, economics and biology. Virtually every structure in our world, including ourselves, can be considered the result of a long sequence of successive symmetry-breaking instabilities due to nonlinear processes under nonequilibrium conditions of a complex system. While a scientific description of the spontaneous appearance of patterns in nature was first made by Johannes Kepler (1611), it has only been during the past twenty years that pattern formation, epitomized by the beautiful snowflakes that Kepler studied, has emerged as a science. Concepts and methods resulting from this dynamic new field will surely influence future developments in many disciplines.Complex systems, as studied in this book, are a good first step toward a description of the variety of phenomena included under the rubric “physics of complex systems.” Even the simplest of those presented here, liquid crystals, is still complex, but provides hints of essential ingredients needed to forge a fundamental understanding of nonequilibrium, nonlinear processes in the large. Fluid dynamics and turbulence, interface motion during solidification, autocatalytic chemical reactions, and pattern formation in biological systems play similar roles in other systems far from equilibrium.

Spatio-temporal Dynamics of Pattern Formation in the Cerebral Cortex

Author : Min Huang
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (553 download)

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Book Synopsis Spatio-temporal Dynamics of Pattern Formation in the Cerebral Cortex by : Min Huang

Download or read book Spatio-temporal Dynamics of Pattern Formation in the Cerebral Cortex written by Min Huang and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.