Waves and patterns in chemical and biological media

著者

書誌事項

Waves and patterns in chemical and biological media

edited by Harry L. Swinney, Valentin I. Krinsky

（Special issues of physica D）

MIT Press, 1992

1st MIT Press ed

大学図書館所蔵 件 / 全10件

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注記

Papers from a workshop organized by the USSR Academy of Sciences and others

Published also as v. 49, no. 1-2 of Physica D

"A Bradford book."

Includes bibliographical references and index

内容説明・目次

内容説明

These 28 contributions by leading researchers describe recent experiments, numerical simulations, and theoretical analyses of the formation of spatial patterns in chemical and biological systems. These 28 contributions by leading researchers - from such diverse disciplines as chemistry, biology, physics, mathematics, and physiology - describe recent experiments, numerical simulations, and theoretical analyses of the formation of spatial patterns in chemical and biological systems. Chemical patterns have been systematically studied since the field was established by Alan Turing's landmark 1952 paper, "The chemical basis for morphogenesis," yet only recently have new experimental techniques and numerical analyses of reaction-diffusion equations opened the way to understanding stationary and traveling wave patterns. This collection summarizes the exciting developments in this rapidly growing field. It shows that some biological patterns have been found to be strikingly similar to patterns found in simple, well-controlled laboratory chemical systems, that new chemical reactor designs make it possible to sustain chemical patterns and to study transitions between different kinds of patterns, and that nearly 40 years after Turing's paper, the patterns predicted by Turing have finally been observed in laboratory experiments. Chapters cover: Spiral, Ring, and Scroll Patterns: Experiments. Spiral, Ring, and Scroll Patterns: Theory and Simulations. Fronts and Turing Patterns. Waves and Patterns in Biological Systems.

目次

  • Part 1 Spiral, ring and scroll patterns - experiments: direct observation of vortex ring collapse in a chemically active medium, K.I.Agladze et al
  • spatial patterns in a uniformly fed membrane reactor, G.Kshirsagar et al
  • autowave propagation in heterogeneous active media, H.Linde and H.Engel
  • chemical waves in inhomogeneous excitable media, J.Maselko and K.Showalter
  • control of dynamic pattern formation in the Belousov-Zhabotinsky reaction, Z.Nagy-Ungvarai and B.Hess
  • front geometries of chemical waves under anisotropic conditions, T.Yamaguchi and S.C.Muller
  • pattern formation in a two-dimensional reaction diffusion system with a transversal chemical gradient, A.M.Zhabotinsky et al. Part 2 Spiral, ring and scroll patterns - theory and simulations: target and spiral waves in oscillatory media in the presence of obstacles, A.Babloyantz and J.A.Sepulchre
  • a model for fast computer simulation of waves in excitable media, D.Barkley
  • kinematics of spiral waves on nonuniformly curved surfaces, V.A.Davydov and V.S.Zykov
  • stability of vortex rotation in an excitable cellular medium, V.G.Fast and I.R.Efimov
  • the eikonal equation - stability of reaction diffusion waves on a sphere, J.Gomatam and D.A.Hodson
  • spiral selection as a free boundary problem, D.A.Kessler and H.Levine
  • the role of curvature and wavefront interactions in spiral-wave dynamics, E.Meron
  • vortex initiation in a heterogeneous excitable medium, A.V.Panfilov and B.N. Vasiev
  • wave patterns in an excitable reaction - diffusion system, H.Sevcikova and M.Marek
  • alternative stable rotors in an excitable medium, A.T.Winfree. Part 3 Fronts and turing patterns: instabilities of front patterns in reaction-diffusion systems, A. Ameodo et al
  • Turing-type chemical patterns in the chlorite-iodide-malonic acide reaction, F. De Kepper et al
  • dynamics of fronts, nuclei and patterns in 2D random media, W. Ebeling et al
  • structure multistability in spatially modulated reaction-diffusion systems, YuD. Kalafati and Yu.A. Rzhanov. Part 4 Waves and patterns in biological systems: spiral waves in normal isolated ventricular muscle, J.M. Davidenko et al
  • spatial long-range interactions in squid giant axons, Y. Hanyu and G. Matsumoto
  • sequential events in bacterial colony morphogenesis, J.A. Shapiro and D. Trubatch
  • analysis of optical density wave propagation and cell movement in the cellular slime mould dictyostelium doscoideum, F. Siegert and C.J. Weijer
  • quantitative analysis of periodic chemotaxis in aggregation patterns of dictyostelium discoideum, O. Steinbeck et al. Part 5 Image processing: can excitable media be considered as computational systems?, A.V. Holden et al
  • autowave principles for parallel image processing, V.I. Krinsky et al.

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