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Pattern Formation in Excitable Media
Patterns in Excitable Media
Author: Sitabhra Sinha
Publisher: CRC Press
Published: 2014-12-13
Total Pages: 322
ISBN-13: 1466552832
DOWNLOAD EBOOK →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.
Patterns in Excitable Media
Author: Sitabhra Sinha
Publisher: CRC Press
Published: 2014-12-13
Total Pages: 318
ISBN-13: 1466552840
DOWNLOAD EBOOK →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
Pattern Formation and Dynamics in Nonequilibrium Systems
Author: Michael Cross
Publisher: Cambridge University Press
Published: 2009-07-16
Total Pages: 547
ISBN-13: 0521770505
DOWNLOAD EBOOK →An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.
Nonlinear Wave Processes in Excitable Media
Author: Arunn V. Holden
Publisher: Springer
Published: 2013-12-21
Total Pages: 511
ISBN-13: 1489936831
DOWNLOAD EBOOK →Proceedings of a NATO ARW held in Leeds, UK, September 11-15, 1989
Cellular Automaton Modeling of Biological Pattern Formation
Author: Andreas Deutsch
Publisher: Springer Science & Business Media
Published: 2007-12-26
Total Pages: 331
ISBN-13: 0817644156
DOWNLOAD EBOOK →This book focuses on a challenging application field of cellular automata: pattern formation in biological systems, such as the growth of microorganisms, dynamics of cellular tissue and tumors, and formation of pigment cell patterns. These phenomena, resulting from complex cellular interactions, cannot be deduced solely from experimental analysis, but can be more easily examined using mathematical models, in particular, cellular automaton models. While there are various books treating cellular automaton modeling, this interdisciplinary work is the first one covering biological applications. The book is aimed at researchers, practitioners, and students in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science interested in a cellular automaton approach to biological modeling.
Spatial Dynamics and Pattern Formation in Biological Populations
Author: Ranjit Kumar Upadhyay
Publisher: CRC Press
Published: 2021-02-23
Total Pages: 449
ISBN-13: 1000334139
DOWNLOAD EBOOK →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.
Patterns and Dynamics in Reactive Media
Author: Rutherford Aris
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 211
ISBN-13: 1461232066
DOWNLOAD EBOOK →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.
