Skip to main content
Log in

Mechanisms for initiation of cardiac discordant alternans

  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract.

Electrical alternans, defined as a beat-to-beat change in the duration of the excited phase of cardiac cells, is among the known precursors of sudden cardiac death. It may appear as concordant (all the tissue presenting the same phase of oscillation) or discordant (with out-of-phase regions distributed among tissue). Spatially discordant alternans can lead to unidirectional block that initiates reentry and ventricular fibrillation. The role played by tissue heterogeneities and heart rate changes in their initiation remains, however, unclear. We study the mechanisms for initiation of spatially discordant alternans by numerical simulations of an ionic model spatially distributed in a one-dimensional cable and in an anatomical model of the rabbit heart. The effects of CV-restitution, ectopic beats, and the role of spatial gradients of electrical restitution properties are investigated. In homogeneous tissue, the origin of discordant alternans may be dynamical, through CV-restitution, or due to a localized change in the pacing period. We also find that a sudden change of stimulation rate can initiate discordant alternans in the presence of a spatial gradient of APD-restitution without necessitating CV-restitution. The mechanism of, and the conditions for, initiation are determined based on an iterated map analysis of beat to beat changes of APD. This analysis leads to the definition of a vulnerable window for initiation of discordant alternans. Moreover, the pattern of spatially discordant alternans is found to change slowly over several beats following initiation, as reflected in ECG recordings.

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

  • L. Edelstein-Keshet, Mathematical Models in Biology (Classics in Applied Mathematics) (SIAM, 2004)

  • A.L. Hodgkin, A.F. Huxley, J. Physiol. 117, 500 (1952)

    Google Scholar 

  • J.D. Murray, Mathematical Biology 3rd edn. Mathematical Biology: I. An Introduction, 2002; Mathematical Biology: II. Spatial Models and Biomedical Applications (Springer-Verlag, New York, 2003)

  • G.K. Moe, Arch. Int. Pharmacodyn. Ther. 14, 183 (1982)

  • J. Jalife, O. Berenfeld, M. Mansour, Cardiovasc. Res. 54, 204 (2002)

    Google Scholar 

  • P.J. Schwartz, A. Malliani, Am. Heart J. 89, 45 (1975); J.M. Smith, E.A. Clancy, R. Valeri, J.N. Ruskin, R.J. Cohen, Circ. 77, 110 (1988); B. Nearing, A.H. Huang, R.L. Verrier, Science 252, 437 (1991); D.S. Rosenbaum, L.E. Jakson, J.M. Smith, H. Garam, J.N. Ruskin, R.J. Cohen, N. Engl. J. Med. 330, 235 (1994)

  • T. Lweis, Q. J. Med. 4, 141 (1910)

    Google Scholar 

  • J.M. Pastore, S.D. Girouard, K.R. Laurita, F.G. Akar, D.S. Rosenbaum, Circ. 99, 1385 (1999)

  • J.J. Fox, M.L. Riccio, F. Hua, E. Bodenschatz, R.F. Gilmour, Circ. Res. 90, 289 (2002)

  • Z. Qu, A. Garfinkel, P.-S. Chen, J.W. Weiss, Circ. 102, 1664 (2000)

    Google Scholar 

  • M.A. Watanabe, F.H. Fenton, S.J. Evans, H.M. Hastings, A. Karma, J. Cardiovasc. Electrophys. 12, 196 (2001)

    Google Scholar 

  • Z.L. Qu, A. Garfinkel, J.N. Weiss, J. Biophys. 91, 793 (2006); 91, 805 (2006)

    Google Scholar 

  • A. Karma, Chaos 4, 461 (1994)

  • J.N. Weiss, A. Karma, Y. Shiferaw, P.S. Chen, A. Garfinkel, Z. Qu, Circ. Res. 98, 1244 (2006)

    Google Scholar 

  • D.S. Rosenbaum, J. Cardiovasc. Electrophys. 12, 207 (2001)

    Google Scholar 

  • H. Hayashi et al., J. Biophys. 92, 448 (2007)

  • J.B. Nolasco, R.W. Dahlen, J. App. Physiol, 25, 191 (1968)

    Google Scholar 

  • M.R. Guevara, G. Ward, A. Shrier, L. Glass, Computers in Cardiology, IEEE Comp. Soc. (1984), pp. 167

  • E. Chudin, J. Goldhaber, A. Garfinkel, J. Weiss, B. Kogan, J. Biophys. 77, 2930 (1999)

  • Y. Shiferaw, M. Watanabe, A. Garfinkel, J. Weiss, A. Karma, J. Biophys. 85, 3666 (2003)

    Google Scholar 

  • Y. Shiferaw, D. Sato, A. Karma, Phys. Rev. E 71, 021903 (2005)

    Google Scholar 

  • J.J. Fox, E. Bodenschatz, R.F. Gilmour, Phys. Rev. Lett. 89, 138101 (2002)

    Google Scholar 

  • E.M. Cherry, F.H. Fenton, Am. J. Physiol. Heart Circ. Physiol. 286, H2332 (2004)

  • B. Echebarria, A. Karma, Phys. Rev. Lett. 88, 208101 (2002)

    Google Scholar 

  • B. Echebarria, A. Karma, Phys. Rev. E, http://lanl.arxiv.org/abs/q-bio.TO/0607041 (to appear)

  • K.R. Laurita, S.D. Girouard, D.S. Rosenbaum, Circ. Res. 79, 493 (1996)

    Google Scholar 

  • F.J. Vetter, A.D. McCulloch, Prog. Biophys. Mol. Biol. 69, 157 (1998)

    Google Scholar 

  • G. Bub, L. Glass, N.G. Publicover, A. Shrier, Proc. Natl. Acad. Sci. USA 95, 10283 (1998); J. Freudenberg, T. Schiemann, U. Tiede, K.H. Höhne, Comp. Biol. Med. 30, 191 (2000)

    Google Scholar 

  • A.J. Pullan, M.L. Buist, L.K. Cheng, Mathematically Modelling the Electrical Activity of the Heart: From Cell to Body Surface and Back Again (World Scientific, Singapore, 2005)

  • F. Fenton, A. Karma, Chaos 8, 20 (1998)

    Google Scholar 

  • B.J. Roth, IEEE Trans. Biomed. Engg. 44, 326 (1997)

    Google Scholar 

  • E.G. Tolkacheva, J.M.B. Anumonwo, J. Jalife, J. Biophys. 91, 2735 (2006)

    Google Scholar 

  • M.S. Panutich, B.P. Knight, J. Cardiovasc. Electrophysiol. 17, 918 (2006)

    Google Scholar 

  • R.H. Clayton, P. Taggart, BioMed. Eng. Onl. 4, 54 (2005)

    Google Scholar 

  • M.P. Nash et al., Exp. Physiol. 91, 339 (2006)

  • J.M. Pastore, K.R. Laurita, D.S. Rosenbaum, Heart Rhythm 3, 711 (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Echebarria, B., Karma, A. Mechanisms for initiation of cardiac discordant alternans. Eur. Phys. J. Spec. Top. 146, 217–231 (2007). https://doi.org/10.1140/epjst/e2007-00182-y

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2007-00182-y

Keywords

Navigation