Nonlinear Dynamics, Fractals, Cardiac Physiology and Sudden Death

  • A. L. Goldberger
Part of the Springer Series in Synergetics book series (SSSYN, volume 36)


As implied by the commonly used term “clinical disorder,” there is a tendency to equate healthy function with order and disease with chaos. This correlation is more than colloquial. The theory that fibrillation represents cardiac turbulence or chaos was proposed by MOE and colleagues [1 ] and more recently by SMITH and COHEN [ 2]. The latter investigators went a step further by suggesting that ventricular fibrillation, the dysrhythmia most commonly associated with sudden cardiac death, may occur at the end of a Feigenbaum-type period-doubling sequence.


Heart Rate Variability Ventricular Fibrillation Broadband Spectrum Renormalization Group Theory Bronchial Generation 
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  1. 1.
    G.R. Moe, W.C. Reinboldt, J.A. Abildskov: Am. Heart J. 67, 200 (1964)CrossRefGoogle Scholar
  2. 2.
    J.M. Smith, R.J. Cohen: Proc. Natl. Acad. Sci. USA. 81, 233 (1984)ADSCrossRefGoogle Scholar
  3. 3.
    A.L. Goldberger, B.J. West, V. Bhargava: In Proc. 11th IMACS World Congress Oslo, Norway, ed. by B. Walstrom, R. Henriksen, N.P. Sundby, Vol.2 (North-Holland Publishing Company 1985). p.239Google Scholar
  4. 4.
    A.L. Goldberger, V. Bhargava, B.J. West, A.J. Mandell. Physica 19D, 282 (1986)MathSciNetADSGoogle Scholar
  5. 5.
    A.L. Goldberger, B.J. West: Ann. N.Y. Acad. Sci. In press.Google Scholar
  6. 6.
    B.B. Mandelbrot: The Fractal Geometry of Nature (W.H. Freeman and Company, New York 1982)zbMATHGoogle Scholar
  7. 7.
    E.W. Montroll, M.F.Shlesinger: Proc. Natl. Acad. Sci. USA 79, 3380 (1983)MathSciNetADSCrossRefGoogle Scholar
  8. 8.
    A.L. Goldberger, B.J. West: Biophys. J. 48, 525 (1985)CrossRefGoogle Scholar
  9. 9.
    B.J. West, V. Bhargava, A.L. Goldberger: J. Appl. Physiol. 60, 1089 (1986)Google Scholar
  10. 10.
    B. West, A.L. Goldberger: Am. Scientist. In press.Google Scholar
  11. 11.
    J. Lefèvre: J. Theor. Biol. 102, 225 (1983)CrossRefGoogle Scholar
  12. 12.
    E.R. Weibel, D.M. Gomez: Science 132, 577 (1962)ADSCrossRefGoogle Scholar
  13. 13.
    M. Sernetz, B. Gelléri, J. Hofmann: J. Theor. Biol. 117, 209 (1985)CrossRefGoogle Scholar
  14. 14.
    T. Musha: In Proc. 6th Int. Conf. Noise in Physical Syst. (NBS Special Publ. 614, 1982) p. 143Google Scholar
  15. 15.
    M. Kobayashi, T. Musha; IEEE Trans. Biomed. Eng. 29, 456 (1982)CrossRefGoogle Scholar
  16. 16.
    A.L. Goldberger, K. Kobalter, V. Bhargava: IEEE Trans. Biomed. Eng. 33, 874 (1986)CrossRefGoogle Scholar
  17. 17.
    A.J. Mandell, S. Knapp, C.L. Ehlers, P.V. Russo: In Neurobiology of the Mood Disorders, ed. by R. M. Post, J.C. Ballenger (Williams & Wilkins, Baltimore MD, 1983)Google Scholar
  18. 18.
    A.L. Goldberger, L. Findley, M.J. Blackburn, A.J. Mandell: Am. Heart J. 107, 612 (1984)CrossRefGoogle Scholar
  19. 19.
    H. Haken: Synergetics. (Springer-Verlag, New York, 1978)zbMATHGoogle Scholar
  20. 20.
    G. Moody, J. Weinstein, A. Berman, R. Mark, W.R. Jarisch, R.c. Pasternak, A.L. Goldberger: Unpublished observationsGoogle Scholar
  21. 21.
    D.L. Eckberg, M. Drabinsky, E. Braunwald: N. Engl. J. Med. 285, 877 (1971)CrossRefGoogle Scholar
  22. 22.
    G.S. Francis, S.R. Goldsmith, S. Ziesche, H. Nakajima, J.N. Cohn: J.Am. Coll. Cardiol. 5, 832 (1985)CrossRefGoogle Scholar
  23. 23.
    W.N. Leimbach, Jr., G. Wallin, R.G. Victor, et al.: Circulation 73, 913 (1986)CrossRefGoogle Scholar
  24. 24.
    M.E. Nygards, J. Hulting: In Computers in Cardiology. (IEEE Computer Society, Long Beach, California, 1978) p.393Google Scholar
  25. 25.
    J.N. Herbschleb, R.M. Heethaar, I. van der Tweel, et al.: In Computers in Cardiology. (IEEE Computer Society, Long Beach, California 1979) p.49Google Scholar
  26. 26.
    E.J. Battersby: Circ. Res. 17, 296 (1965)Google Scholar
  27. 27.
    R.E. Ideker, G.J. Klein, L. Harrison, et al.: Circulation 63, 1371 (1981)CrossRefGoogle Scholar
  28. 28.
    S.J. Worley, J.L. Swain, P.G. Colavita, et al.: Am. J. Cardiol. 55, 813, (1985)CrossRefGoogle Scholar
  29. 29.
    V. Bhargava, A.L. Goldberger, D. Ward, S. Ahnve: IEEE Trans. Biomed. Eng. 33 894 (1986) In pressCrossRefGoogle Scholar
  30. 30.
    V.I. Krinsky: Pharm. Ther. 83, 539 (1978)Google Scholar
  31. 31.
    A.T. Winfree, S.H. Strogatz: Nature 311, 611 (1984)ADSCrossRefGoogle Scholar
  32. 32.
    B.K. Bootsma, A.J. Hoelen, J. Stackee, F.L. Meijler: Circulation 41, 738 (1970)Google Scholar
  33. 33.
    A.L. Goldberger, D. Goldwater, V. Bhargava: J. Appl. Physiol. In pressGoogle Scholar
  34. 34.
    H.A. Reimann: Periodic Diseases (F.A. Davis, Philadelphia 1963)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • A. L. Goldberger
    • 1
  1. 1.Cardiology DivisionBeth Israel Hospital, Harvard Medical SchoolBostonUSA

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