Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

Cross-membrane coupling of chemical spatiotemporal patterns

Abstract

CHEMICAL systems may communicate by exchange of common species through mass transport, and such coupling may give rise to dynamical complexity beyond that possible in the independent systems1–5. We report here on dynamical behaviour arising from the diffusive coupling of chemical spatiotemporal patterns across a membrane. Chemical waves appear on Nation membranes that are loaded with ferroin catalyst and bathed in a mixture of the reagents of the Belousov–Zhabotinsky oscillatory reaction. The waves on each side of the membrane couple by diffusive transport through the membrane. The coupling initially gives rise to the spontaneous appearance of spiral waves, and subsequent behaviour reveals several distinct phases of evolution, ultimately leading to complete spatiotemporal entrainment.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Similar content being viewed by others

References

  1. Bar-Eli, K. J. phys. Chem. 88, 3616–3622 (1984).

    Article  CAS  Google Scholar 

  2. Györgyi, L. & Field, R. J. J. phys. Chem. 92, 7079–7088 (1988).

    Article  Google Scholar 

  3. Aronson, D. G., Doedel, E. J. & Othmer, H. G. Physica D 25, 20–104 (1987).

    MathSciNet  Google Scholar 

  4. Crowley, M. F. & Epstein, I. R. J. chem. Phys. 93, 2496–2502 (1989).

    Article  CAS  Google Scholar 

  5. Bar-Eli, K. J. phys. Chem. 94, 2368–2374 (1990).

    Article  CAS  Google Scholar 

  6. Zaikin, A. N. & Zhabotinsky, A. M. Nature 225, 535–537 (1970).

    Article  ADS  CAS  Google Scholar 

  7. Winfree, A. T. Science 181, 937–939 (1973).

    Article  ADS  CAS  Google Scholar 

  8. Field, R. J. & Noyes, R. M. J. Am. chem. Soc. 96, 2001–2006 (1974).

    Article  CAS  Google Scholar 

  9. Eisenberg, A. & Yeager, H. L. (eds) Perfluorinated Ionomer Membranes; Am. chem. Soc. Symp. Ser. 180 (American Chemical Society, Washington, DC, 1982).

  10. Larter, R. Chem. Rev. 90, 355–381 (1990).

    Article  CAS  Google Scholar 

  11. Maselko, J. & Showalter, K. Nature 339, 609–611 (1989).

    Article  ADS  CAS  Google Scholar 

  12. Yatsimirskii, K. B., Tikhonova, L. P., Kovalenko, A. S. & Moshkovich, F. S. J. phys. Chem. 93, 2848–2852 (1989).

    Article  CAS  Google Scholar 

  13. Barkley, D., Kness, M. & Tuckerman, S. Phys. Rev. A 42, 2489–2492 (1990).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  14. Tyson, J. J. & Fife, P. C. J. chem. Phys. 73, 2224–2237 (1980).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  15. Winfree, A. T. When Time Breaks Down (Princeton Univ. Press, 1987).

    Google Scholar 

  16. Maselko, J. & Showalter, K. J. phys. Chem. 93, 2774–2780 (1988).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Winston, D., Arora, M., Maselko, J. et al. Cross-membrane coupling of chemical spatiotemporal patterns. Nature 351, 132–135 (1991). https://doi.org/10.1038/351132a0

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1038/351132a0

This article is cited by

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing