Skip to main content
Log in

Scroll wave dynamics in a model of the heterogeneous heart

  • Biophysics
  • Published:
JETP Letters Aims and scope Submit manuscript

An Erratum to this article was published on 01 December 2016

Abstract

Scroll waves are found in physical, chemical and biological systems and underlie many significant processes including life-threatening cardiac arrhythmias. The theory of scroll waves predicts scroll wave dynamics should be substantially affected by heterogeneity of cardiac tissue together with other factors including shape and anisotropy. In this study, we used our recently developed analytical model of the human ventricle to identify effects of shape, anisotropy, and regional heterogeneity of myocardium on scroll wave dynamics. We found that the main effects of apical-base heterogeneity were an increased scroll wave drift velocity and a shift towards the region of maximum action potential duration. We also found that transmural heterogeneity does not substantially affect scroll wave dynamics and only in extreme cases changes the attractor position.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. T. Winfree and S. H. Strogatz, Nature 311, 611 (1984).

    Article  ADS  Google Scholar 

  2. I. R. Efimov, V. Sidorov, Y. Cheng, and B. Wollenzier, J. Cardiovasc. Electrophys. 10, 1452 (1999).

    Article  Google Scholar 

  3. R. A. Gray, J. Jalife, A. V. Panfilov, W. T. Baxter, C. Cabo, J. M. Davidenko, and A. M. Pertsov, Circulation 91, 2454 (1995).

    Article  Google Scholar 

  4. A. N. Rudenko and A. V. Panfilov, Studia Biophys. 98, 183 (1983).

    Google Scholar 

  5. J. P. Keener and A. V. Panfilov, in Spatio-Temporal Organization in Nonequilibrium Systems (Project, Dortmund, 1992), p. 119.

  6. A. V. Panfilov and J. P. Keener, J. Cardiovasc. Electrophys. 4, 412 (1993).

    Article  Google Scholar 

  7. H. Dierckx, E. Brisard, H. Verschelde, and A. V. Panfilov, Phys. Rev. E 88, 012908/1 (2013).

    ADS  Google Scholar 

  8. A. V. Panfilov and A. N. Rudenko, Phys. D: Nonlin. Phenom. 28, 215 (1987).

    Article  ADS  Google Scholar 

  9. S. F. Pravdin, V. I. Berdyshev, A. V. Panfilov, L. B. Katsnelson, O. Solovyova, and V. S. Markhasin, Biomed. Eng. Online 54, 12 (2013).

    Google Scholar 

  10. S. F. Pravdin, H. Dierckx, L. B. Katsnelson, O. Solovyova, V. S. Markhasin, and A. V. Panfilov, PLOS One 9, 5 (2014).

  11. S. F. Pravdin, H. Dierckx, V. S. Markhasin, and A. V. Panfilov, Biomed. Res. Int. 2015, 389830 (2015).

    Article  Google Scholar 

  12. F. L. Burton and S. M. Cobbe, Cardiovasc. Res. 50, 10 (2001).

    Article  Google Scholar 

  13. A. V. Glukhov, V. V. Fedorov, Q. Lou, V. K. Ravikumar, P. W. Kalish, R. B. Schuessler, N. Moazami, and I. R. Efimov, Circ. Res. 106, 981 (2010).

    Article  Google Scholar 

  14. R. R. Aliev and A. V. Panfilov, Chaos, Solitons Fractals 7, 293 (1996).

    Article  ADS  Google Scholar 

  15. K. H. W. J. ten Tusscher and A. V. Panfilov, Am. J. Physiol. 284, H542 (2003).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. V. Konovalov.

Additional information

Published in Russian in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 104, No. 2, pp. 122–127.

The article is published in the original.

An erratum to this article is available at http://dx.doi.org/10.1134/S0021364016230156.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Konovalov, P.V., Pravdin, S.F., Solovyova, O.E. et al. Scroll wave dynamics in a model of the heterogeneous heart. Jetp Lett. 104, 130–134 (2016). https://doi.org/10.1134/S0021364016140034

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364016140034

Navigation