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Author : Ehud Meron
Publisher : Unknown
Page : 0 pages
File Size : 52,6 Mb
Release : 1992
Category : Belousov-Zhabotinskii reaction
ISBN : OCLC:28831088
Author : Sitabhra Sinha,S. Sridhar
Publisher : CRC Press
Page : 316 pages
File Size : 44,8 Mb
Release : 2014-12-13
Category : Mathematics
ISBN : 9781466552845
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
Author : Arunn V. Holden,Mario Markus,Hans G. Othmer
Publisher : Springer
Page : 511 pages
File Size : 40,7 Mb
Release : 2013-12-21
Category : Science
ISBN : 9781489936837
Proceedings of a NATO ARW held in Leeds, UK, September 11-15, 1989
Author : William Nash Reynolds
Publisher : Unknown
Page : 248 pages
File Size : 48,5 Mb
Release : 1992
Category : Electronic
ISBN : UCSD:31822015455348
Author : Andreas Deutsch,Sabine Dormann
Publisher : Birkhäuser
Page : 464 pages
File Size : 54,6 Mb
Release : 2018-03-09
Category : Mathematics
ISBN : 9781489979803
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
Author : Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar
Publisher : CRC Press
Page : 449 pages
File Size : 43,7 Mb
Release : 2021-02-23
Category : Mathematics
ISBN : 9781000334135
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.
Author : Rutherford Aris,Donald G. Aronson,Harry L. Swinney
Publisher : Springer Science & Business Media
Page : 211 pages
File Size : 49,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461232063
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.
Author : Michael Cross,Henry Greenside
Publisher : Cambridge University Press
Page : 547 pages
File Size : 50,5 Mb
Release : 2009-07-16
Category : Mathematics
ISBN : 9780521770507
An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.
Author : John Milton,Peter Jung
Publisher : Springer Science & Business Media
Page : 439 pages
File Size : 45,6 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662050484
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.
Author : H. Frederick Nijhout
Publisher : CRC Press
Page : 318 pages
File Size : 46,5 Mb
Release : 2018-02-19
Category : Mathematics
ISBN : 9780429972997
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.
Author : Jan Frederik Totz
Publisher : Springer
Page : 164 pages
File Size : 41,8 Mb
Release : 2019-01-18
Category : Science
ISBN : 9783030110574
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.
Author : Kinko Tsuji,Stefan C. Müller
Publisher : Springer
Page : 297 pages
File Size : 46,8 Mb
Release : 2019-04-04
Category : Science
ISBN : 9783030057985
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.
Author : Klaus Mainzer,Leon O. Chua
Publisher : World Scientific
Page : 456 pages
File Size : 47,7 Mb
Release : 2013
Category : Mathematics
ISBN : 9781908977106
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.
Author : Mainzer Klaus,Chua Leon O
Publisher : World Scientific
Page : 456 pages
File Size : 42,8 Mb
Release : 2013-03-15
Category : Mathematics
ISBN : 9781908977113
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
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 52,8 Mb
Release : 2024-06-02
Category : Electronic
ISBN : 9789814475792