Skip to main content
SpringerLink
Log in

Twisted Scroll Waves in Three-Dimensional Active Media

  • Conference paper
Self-Organization Autowaves and Structures Far from Equilibrium

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 28))

Abstract

The discovery of rotating waves (vortices) in the Belousov-Zhabotinsky (B-Z) reaction has initiated a great number of studies concerned with the reaction-diffusion equation which yields two-dimensional periodic solutions describing such waves. These studies have aroused interest among biologists because structures similar to those in B-Z reaction can also be observed in biological excitable media (cardiac and nerve tissues). The appearance of vortices in these tissues is associated with pathological changes such as paroxysmal tachycardia and fibrillation, waves of spreading depression in the brain cortex [1, 2].

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. V.I. Krinsky, Pharmac. Ther., 3, No 4, 539 (1978)

    Google Scholar 

  2. N.A. Gorelova, j.Bures. Neurobiology 14 No 5, 353 (1983)

    Article  Google Scholar 

  3. A.T. Winfree, S.H.Strogatz. Physica 9D, No 1, 65 (1983)

    Google Scholar 

  4. A.T. Winfree. Science 175, 634 ( 1972;

    Article  ADS  Google Scholar 

  5. A.V. Panfilov, A.M. Pertsov. Doklady Akademii Nauk 274, No 6, 1500 (1984)

    Google Scholar 

  6. S.V. Klimenko, V.N. Kochin, A.V. Samarin. Upr.Syst. i Mash. No 3, 104 (1983)

    Google Scholar 

  7. K.I. Agladze. Characteristics of Two-dimensional Autowave Processes in Two-dimensional Medium. Thesis, Pushchino, Inst, of Biophysics, (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Biological Physics of the USSR Academy of Sciences, SU-142292, Pushchino, USSR

    A. V. Panfilov, A. N. Rudenko & A. M. Pertsov

Authors
  1. A. V. Panfilov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. N. Rudenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. M. Pertsov
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Biological Physics, USSR Academy of Sciences, SU-142292, Pushchino, USSR

    V. I. Krinsky

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Panfilov, A.V., Rudenko, A.N., Pertsov, A.M. (1984). Twisted Scroll Waves in Three-Dimensional Active Media. In: Krinsky, V.I. (eds) Self-Organization Autowaves and Structures Far from Equilibrium. Springer Series in Synergetics, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70210-5_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-70210-5_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-70212-9

  • Online ISBN: 978-3-642-70210-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation