Discover
/
Article

Dynamics of Cardiac Arrhythmias

AUG 01, 1996
Physicists, considering the heart as an excitable medium driven by limit‐cycle oscillators, can help cardiologists gain important insights into the prevention and control of deadly arrhythmias.
Leon Glass

An elderly gentleman with heart disease was admitted to hospital for treatment of an abnormal heart rhythm called ventricular tachycardia. This potentially fatal rhythm can occur days, or even years, after a heart attack. It is associated with an abnormally rapid heartbeat that arises from tissue in the heart attack‐damaged portions of the ventricles—the two main pumping chambers of the heart. (See the box on page 41.)

This article is only available in PDF format

References

  1. 1. For a description of these procedures, see M. E. Josephson, Clinical Cardiac Electrophysiology: Techniques and Interpretations, 2nd ed., Lea and Febiger, Philadelphia (1993);
    and E. N. Prystowsky, G. J. Klein, Cardiac Arrhythmias: An Integrated Approach for the Clinician, McGraw‐Hill, New York (1994).

  2. 2. J. Rinzel, in Research Notes in Mathematics. Nonlinear Diffusion, W. E. Fitzgibbon, H. R. Walker, eds., Pitman, London (1977), p. 186.
    A. T. Winfree, When Time Breaks Down: The Three‐Dimensional Dynamics of Electrochemical Waves and Cardiac Arrhythmias, Princeton U.P., Princeton, N.J. (1987).
    C. F. Starmer et al., Biophys. J. 65, 1775 (1993). https://doi.org/BIOJAU
    J. Starobin, Y. I. Zilberter, C. F. Starmer, Physica D 70, 321 (1994). https://doi.org/PDNPDT
    A. Karma, Chaos 4, 461 (1994).https://doi.org/CHAOEH

  3. 3. A. T. Winfree, The Geometry of Biological Time, Springer‐Verlag, New York (1980).
    L. Glass, M. C. Mackey, From Clocks to Chaos: The Rhythms of Life, Princeton U.P., Princeton, N.J. (1988).

  4. 4. W. Mobitz, Z. f. d. ges. Exp. Med. 41, 189 (1924).

  5. 5. A. Shrier, H. Dubarsky, M. Rosengarten, M. R. Guevara, S. Nattel, L. Glass, Circulation 76, 1196 (1987).https://doi.org/CIRCAZ

  6. 6. J. P. Keener, J. Math. Biol. 12, 215 (1981). https://doi.org/JMBLAJ
    M. R. Guevara in Theory of the Heart: Biomechanics, Biophysics, and Nonlinear Dynamics of Cardiac Function, L. Glass, P. J. Hunter, A. McCulloch, eds., Springer‐Verlag, New York (1991), p. 313.

  7. 7. G. R. Mines, Trans. R. Soc. Can. 3, sect. 4, 8, 43 (1914).

  8. 8. N. Wiener, A. Rosenblueth, Archos. Inst. Cardiol. Méx. 16, 205 (1946).

  9. 9. L. H. Frame, M. B. Simson, Circulation 78, 1277 (1988).https://doi.org/CIRCAZ

  10. 10. W. Quan, Y. Rudy, Circ. Res. 66, 367 (1990). https://doi.org/CIRUAL
    W. Quan, Y. Rudy, PACE 14, 1700 (1991). https://doi.org/PPCEDP
    A. Vinet, J. L. Leon, IEEE Eng. Med. Biol. Soc. Int. Conf. 13, 508 (1991).

  11. 11. H. Ito, L. Glass, Physica D 56, 84 (1992). https://doi.org/PDNPDT
    M. Courtemanche, L. Glass, J. P. Keener, Phys. Rev. Lett. 70, 2182 (1993). https://doi.org/PRLTAO
    M. Courtemanche, J. P. Keener, L. Glass, SIAM J. Appl. Math. 56, 119 (1996).https://doi.org/SMJMAP

  12. 12. L. Glass, M. E. Josephson, Phys. Rev. Lett. 75, 2059 (1995). https://doi.org/PRLTAO
    T. Nomura, L. Glass, Phys. Rev. 53, 6353 (1996).

  13. 13. V. I. Krinskii, Systems Theory Research (translation of Prob. Kib.) 20, 46 (1968).
    A. T. Winfree, Science 175, 634 (1972). https://doi.org/SCIEAS
    For a recent review, see J. M. Davidenko, in Cardiac Electrophysiology: From Cell to Bedside, D. P. Zipes, J. Jalife, eds., 2nd ed., W. B. Saunders, Philadelphia (1995), p. 478.
    See also several articles in Computational Biology of the Heart, A. Panfilov, A. V. Holden, eds., Wiley, Chichester, UK (1995).

  14. 14. A. Panfilov, J. P. Keener, Chaos, Solitons and Fractals 5, 681 (1995).https://doi.org/CSFOEH

  15. 15. R. A. Gray, J. Jalife, A. Panfilov, W. T. Baxter, C. Cabo, J. M. Davidenko, A. M. Pertsov, Circulation 91, 2454 (1995).https://doi.org/CIRCAZ

  16. 16. A. T. Winfree, Science 266, 1003 (1994). https://doi.org/SCIEAS
    R. Gray, J. Jalife, A. Panfilov, W. T. Baxter, C. Cabo, J. M. Davidenko, A. M. Pertsov, Science 270, 1222 (1995). https://doi.org/SCIEAS
    A. V. Panfilov, P. Hogeweg, Science 270, 1223 (1995). https://doi.org/SCIEAS
    A. T. Winfree, Science 270, 1224 (1995).https://doi.org/SCIEAS

  17. 17. D. S. Rosenbaum, L. E. Jackson, J. M. Smith, H. Garan, J. N. Ruskin, R. J. Cohen, New Engl. J. Med. 330, 235 (1994).https://doi.org/NEJMAG

  18. 18. M. R. Guevara, L. Glass, A. Shrier, Science 214, 1350 (1981). https://doi.org/SCIEAS
    D. Chialvo, R. F. Gilmour, J. Jalife, Nature 343, 653 (1990).https://doi.org/NATUAS

  19. 19. A. Garfinkel, M. L. Spano, W. L. Ditto, J. N. Weiss, Science 257, 1230 (1992). https://doi.org/SCIEAS
    L. Glass, W. Zeng, Int. J. Bif. Chaos 4, 1061 (1994).

More about the authors

Leon Glass, McGill University, Montreal.

Related content
/
Article
A half century after the discovery of Hawking radiation, we are still dealing with the quantum puzzle it exposed.
/
Article
Since the discovery was first reported in 1999, researchers have uncovered many aspects of the chiral-induced spin selectivity effect, but its underlying mechanisms remain unclear.
/
Article
Metrologists are using fundamental physics to define units of measure. Now NIST has developed new quantum sensors to measure and realize the pascal.
/
Article
Nanoscale, topologically protected whirlpools of spins have the potential to move from applications in spintronics into quantum science.
This Content Appeared In
pt-cover_1996_08.jpeg

Volume 49, Number 8

Get PT newsletters in your inbox

pt_newsletter_card_blue.png
PT The Week in Physics

A collection of PT's content from the previous week delivered every Monday.

pt_newsletter_card_darkblue.png
PT New Issue Alert

Be notified about the new issue with links to highlights and the full TOC.

pt_newsletter_card_pink.png
PT Webinars & White Papers

The latest webinars, white papers and other informational resources.

By signing up you agree to allow AIP to send you email newsletters. You further agree to our privacy policy and terms of service.