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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.

DOI: 10.1063/1.881510

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.)

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.

This Content Appeared In
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Volume 49, Number 8

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