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Spatial Patterns in (Bio)Chemical Reactions

  • S. C. Müller
Part of the Springer Series in Synergetics book series (SSSYN, volume 39)

Abstract

The study of spatiotemporal organization in reactive media due to the coupling of chemical reactions with transport processes has become, in recent years, a subject of intensive research in the field of non-equilibrium dynamics in chemical systems. The attention given to the evolution of spatial inhomogeneities on a macroscopic scale has been rapidly growing, ever since the remarkable phenorusnon of chemical wave propagation in the Belousov-Zhabotinskii reaction was discovered almost 20 years ago [1,2]. However, as pointed out by TYSON and KAGAN in their historical review in this Volume, one should remember that numerous observations of chemical patterns in heterogeneous systems were reported before systematic research on temporal and spatial periodicities in homogeneous liquid-phase reactions began.

Keywords

Wave Front Excitable Medium Malonic Acid Spiral Wave Rotation Center 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    A.N. Zaikin, A.M. Zhabotinskii: Nature 225, 535 (1970)ADSCrossRefGoogle Scholar
  2. 2.
    H.-G. Busse: J. Phys. Chem. 73, 750 (1962)CrossRefGoogle Scholar
  3. 3.
    F.F. Runge: Der Bildunqstrieb der Stoffe veranschaulicht in selbständig gewachsenen Bildern (Oranienburg, Selbstverlag 1855)Google Scholar
  4. 4.
    E.S. Liesegang: Phot. Archiv 21, 321 (1986)Google Scholar
  5. 5.
    G. Lippmann: Ann. Phys. 2nd Series 149, 544 (1873)Google Scholar
  6. 6.
    E.S. Hedges, J.E. Myers: The Problem of Physico-chemical Periodicity (Arnold & Co., London 1926)Google Scholar
  7. 7.
    P. Glansdorff, I. Prigogine: Thermodynamic Theory of Structure, Stability and Fluctuations (Wiley Interscience, New York 1971)zbMATHGoogle Scholar
  8. 8.
    H. Haken: Synergetics. 3rd ed. (Springer, Berlin, Heidelberg 1983)Google Scholar
  9. 9.
    A. Boiteux, B. Hess: Ber. Bunsenges. Phys. Chem. 84, 392 (1980)Google Scholar
  10. 10.
    P. Möckel: Naturwissenschaften 64, 224 (1977)ADSCrossRefGoogle Scholar
  11. 11.
    J.C. Micheau, M. Gimenez, P. Borckmans, G. Dewel: Nature 305, 43 (1983)ADSCrossRefGoogle Scholar
  12. 12.
    D. Avnir, M. Kagan: Nature 307, 717 (1984)ADSCrossRefGoogle Scholar
  13. 13.
    A.M. Zhabotinskii, A.N. Zaikin: J. theor. Biol. 40, 45 (1973)CrossRefGoogle Scholar
  14. 14.
    K. Showalter: J. Chem. Phys. 73, 3735 (1980)ADSCrossRefGoogle Scholar
  15. 15.
    M. Orban: J. Am. Chem. Soc. 102, 4311 (1980)CrossRefGoogle Scholar
  16. 16.
    K.I. Agladze, V.I. Krinsky, A.M. Pertsov: Nature 308, 834 (1984)ADSCrossRefGoogle Scholar
  17. 17.
    S.C. Müller, Th. Plesser, B. Hess: Naturwissenschaften 73, 165 (1986)ADSCrossRefGoogle Scholar
  18. 18.
    P.M. Wood, J. Ross: J. Chem. Phys. 82, 1924 (1985)ADSCrossRefGoogle Scholar
  19. 19.
    S.C. Müller, Th. Plesser, B. Hess: Anal. Biochem. 146, 125 (1985)CrossRefGoogle Scholar
  20. 20.
    C. Vidal, A. Pagola: J. Phys. Chem. 91, 501 (1987)CrossRefGoogle Scholar
  21. 21.
    K.H. Stern: Chem. Rev. 54, 79 (1954)CrossRefGoogle Scholar
  22. 21a.
    K.H. Stern: A Bibliography of Liesegang Rings, 2nd ed. (U.S. GPO, Washington, D.C., 1967)Google Scholar
  23. 22.
    R. Fricke, O. Suwelack: Z. Phys. Chem. 124, 359 (1926)Google Scholar
  24. 23.
    H. Higuchi, R. Matuura: Mem. Fac. Sci. Kyushu Univ., Ser. C5, 33 (1962)Google Scholar
  25. 24.
    S. Kai, S.C. Müller, J. Ross: J. Chem. Phys. 76, 1392 (1982)ADSCrossRefGoogle Scholar
  26. 25.
    M.E. LeVan, J. Ross: J. Phys. Chem. 91, 6300 (1987)CrossRefGoogle Scholar
  27. 26.
    W. Ostwald: Lehrbuch der Allgemeinen Chemie (Engelmann, Leipzig 1897)Google Scholar
  28. 27.
    C. Wagner: J. Colloid Sci. 5, 85 (1950)CrossRefGoogle Scholar
  29. 27a.
    J.B. Keller, S.I. Rubinow: J. Chem. Phys. 74, 5000 (1982)MathSciNetADSCrossRefGoogle Scholar
  30. 28.
    R. Lovett, P. Ortoleva, J. Ross: J. Chem. Phys. 69, 947 (1978)ADSCrossRefGoogle Scholar
  31. 28a.
    G. Venzl, J. Ross: J. Chem. Phys. 77, 1308 (1982)ADSCrossRefGoogle Scholar
  32. 29.
    G.T. Dee: Phys. Rev. Lett. 57, 257 (1986)ADSCrossRefGoogle Scholar
  33. 30.
    S.C. Müller, S. Kai, J. Ross: Science 216, 635 (1982)ADSCrossRefGoogle Scholar
  34. 31.
    R.J. Field, M. Burger (eds.): Oscillations and Traveling Waves in Chemical Systems (Wiley, New York 1985)Google Scholar
  35. 32.
    S.C. Müller, Th. Plesser, B. Hess: Science 230, 661 (1985)ADSCrossRefGoogle Scholar
  36. 33.
    J.M. Bodet, C. Vidal, J. Ross: J. Chem. Phys. 86, 4418 (1987)ADSCrossRefGoogle Scholar
  37. 34.
    Zs. Nagy-Ungvarai, S.C. Müller, Th. Plesser, B. Hess: Naturwissenschaften (1988), in pressGoogle Scholar
  38. 35.
    A.T. Winfree: Science 181, 937 (1973)ADSCrossRefGoogle Scholar
  39. 36.
    S.C. Müller, Th. Plesser, B. Hess: Biophys. Chem. 26, 357 (1987)CrossRefGoogle Scholar
  40. 37.
    S.C. Müller, Th. Plesser, B. Hess: Physica 24D, 71 and 87 (1987)ADSGoogle Scholar
  41. 38.
    J.P. Keener, J.J. Tyson: Physica 21D, 307 (1986)MathSciNetADSGoogle Scholar
  42. 39.
    P. Foerster, S.C. Müller, B. Hess: In Spatial Inhomogeneities and Transient Behavior in Chemical Kinetics, ed. by G. Nicolis, P. Gray (1988), in pressGoogle Scholar
  43. 40.
    V.S. Zykov, G.L. Morozova: Biofizika 23, 717 (1979)Google Scholar
  44. 41.
    S.C. Müller, Th. Plesser, B. Hess: In Physicochemical Hydrodynamics: Interfacial Phenomena, ed. by M.G. Velarde, B. Nichols, NATO ASI Ser. (Plenum, New York 1988)Google Scholar
  45. 42.
    D. Walgraef: In Non-Eauilibrium Dynamics in Chemical System, ed. by C. Vidal, A. Pacault, Springer Ser. Syn., Vol. 27 (Springer, Berlin, Heidelberg 1984) p. 114Google Scholar
  46. 43.
    M. Markus, S.C. Müller, Th. Plesser, B. Hess: Biol. Cybern. 57, 187 (1987)CrossRefGoogle Scholar
  47. 44.
    H. Miike, S.C. Müller, B. Hess: Chem. Phys. Lett. (1988), in pressGoogle Scholar
  48. 45.
    B. Hess, B. Chance, A. Betz: Ber. Bunsenges. Phys. Chem. 68, 768 (1964)Google Scholar
  49. 46.
    B. Hess, A. Boiteux: Annu. Rev. Biochem. 40, 237 (1971)CrossRefGoogle Scholar
  50. 47.
    M. Markus, B. Hess: Proc. Natl. Acad. Sci. USA 81, 4394 (1984)ADSCrossRefGoogle Scholar
  51. 48.
    S.C. Müller, Th. Plesser, A. Boiteux, B. Hess: Z. Naturforsch. 40c, 588 (1985)Google Scholar
  52. 49.
    S.C. Müller, Th. Plesser, B. Hess: In Temporal Order, ed. by L. Rensing, N.I. Jaeger, Springer Ser. Syn., Vol. 29 (Springer, Berlin, Heidelberg 1985) p. 194Google Scholar
  53. 50.
    Th. Plesser, S.C. Müller, B. Hess, I. Lamprecht, B. Schaarschmidt: FEBS Lett. 198, 42 (1985)CrossRefGoogle Scholar
  54. 51.
    E. Nakache, M. Dupeyrat, M. Vignes-Adler: J. Colloid Interface Sci. 94, 187 (1983)CrossRefGoogle Scholar
  55. 52.
    S. Kai, S.C. Müller: Sci. Form 1, 9 (1985)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • S. C. Müller
    • 1
  1. 1.Max-Planck-Institut für ErnährungsphysiologieDortmund 1Germany

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