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Concentration Wave Propagation in Two-dimensional Liquid-phase Self-oscillating System - Nature

  • ️ZHABOTINSKY, A. M.
  • ️Sat Feb 07 1970
  • Letter
  • Published: 07 February 1970

Nature volume 225, pages 535–537 (1970)Cite this article

Abstract

OSCILLATING chemical reactions are interesting, not only in themselves but as models of a number of important biological processes1–5. Oscillating reactions have been described in which cerium (or manganese) ions catalyse the oxidation of analogues of malonic acid by bromate6–8. Oscillations in the concentrations of oxidized and reduced forms of the catalyst cause oscillations in the solution colour, while stirring leads to forced synchronization of oscillations throughout the whole volume. In the absence of stirring, periodic propagation of concentration waves occurs in certain conditions, and such a phenomenon in a one-dimensional system (a long tube) has been described9,10. Our work deals with patterns in a thin layer of solution (two-dimensional system).

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References

  1. Christiansen, J. A., Adv. Enzymol., 23, 83 (1961).

    CAS  Google Scholar 

  2. Goodwin, B. C., Temporal Organisation in Cells (Academic Press, London and New York, 1963).

    Google Scholar 

  3. Bak, T. A., Contributions to the Theory of Chemical Kinetics (W. A. Benjamin, NY, 1963).

    Google Scholar 

  4. Turing, A. M., Phil. Trans. Roy. Soc., B, 237, 37 (1952).

    Article  ADS  Google Scholar 

  5. Prigogine, J., and Nicolis, G., J. Chem. Phys., 46, 3542 (1967).

    Article  ADS  CAS  Google Scholar 

  6. Zhabotinsky, A. M., Dokl. Akad. Nauk SSSR, 157, 392 (1964).

    Google Scholar 

  7. Degn, H., Nature, 213, 589 (1967).

    Article  ADS  CAS  Google Scholar 

  8. Vavilin, V. A., Zhabotinsky, A. M., and Zaikin, A. N., Biochemical Oscillators (edit. by Chance, B., Hess, B., and Selkov, E.) (Academic Press, Philadelphia, in the press).

  9. Zhabotinsky, A. M., Biochemical Oscillators (Academic Press, Philadelphia, in the press).

  10. Zhabotinsky, A. M., Oscillatory Processes in Biological and Chemical Systems, 149 (Science Publ., Moscow, 1967).

    Google Scholar 

  11. Busse, H. G., J. Phys. Chem., 73, 750 (1969).

    Article  CAS  Google Scholar 

  12. Conrade, M., and Reinbach, H., Chem. Ber., 35, 1814 (1902).

    Google Scholar 

  13. Wiener, N., and Rosenblueth, A., Arch. Inst. Cardiol. de Mexico, 16, 205 (1946).

    CAS  Google Scholar 

  14. Gelfand, I. M., and Zetlin, M. L., Dokl. Akad. Nauk SSSR, 131, 1248 (1960).

    Google Scholar 

  15. Krinsky, V. I., Biofizika, 11, 676 (1966).

    Google Scholar 

Download references

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Authors and Affiliations

  1. Institute of Biological Physics, Academy of Sciences of the USSR, Puschino, Moscow Region

    A. N. ZAIKIN & A. M. ZHABOTINSKY

Authors

  1. A. N. ZAIKIN

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  2. A. M. ZHABOTINSKY

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ZAIKIN, A., ZHABOTINSKY, A. Concentration Wave Propagation in Two-dimensional Liquid-phase Self-oscillating System. Nature 225, 535–537 (1970). https://doi.org/10.1038/225535b0

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  • Received: 04 August 1969

  • Revised: 03 November 1969

  • Issue Date: 07 February 1970

  • DOI: https://doi.org/10.1038/225535b0

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