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Chaos in Cardiac Signals

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Part of the book series: Advances in Experimental Medicine and Biology ((AEMB,volume 346))

Abstract

Chaotic dynamical systems analysis has become over the last two decades a standard tool for systems analysis in the hydrodynamics of turbulence, in mechanical systems, and in electrical signals. The label “chaotic” has summarized the lack of predictability of the weather and other complex systems. We can use “chaos” theory to enhance our understanding of cardiovascular pressures, flows, heart rates, and tracer exchanges. Explaining why we cannot predict exactly is an improvement over not understanding at all, and aids in taking the next steps toward deeper insight at the biochemical and electrophysiologic levels.

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References

  1. Bernard C. Leçons sur les phénomène de la vie communs aux animaux et aux végétaux. Paris: BailHére, 1878.

    Google Scholar 

  2. Cannon WB. Organization for physiological homeostasis. Physiol Rev 1929; 9:399–431.

    Google Scholar 

  3. Poincare H. Memoire sur les courbes definies par les equations differentielles, I-IV, Oevre I. Paris: Gauthier-Villars, 1880.

    Google Scholar 

  4. Lorenz EN. Deterministic nonperiodic flows. J Atmos Sci 1963; 20: 130–141.

    Article  Google Scholar 

  5. Glass L, Malta CP. Chaos in multi-looped negative feedback systems. J Theor Biol 1990; 145: 217–223.

    Article  PubMed  CAS  Google Scholar 

  6. Ruelle D. Chaotic Evolution and Strange Attractors. New York: Cambridge University Press. 1989.

    Book  Google Scholar 

  7. Jalife J. Mathematical Approaches to Cardiac Arrythmias. New York, NY: New York Acad Sci 1990: 417.

    Google Scholar 

  8. Lipsitz LA., Mietus J, Moody GB, Goldberger AL. Spectral characteristics of heart rate variability before and during postural tilt. Circulation 1990; 81: 1803–1810.

    Article  PubMed  CAS  Google Scholar 

  9. Kaplan DT, Furman mi, Pincus SM, Ryan SM, Lipsitz LA, Goldberger AL. Aging and the complexity of cardiovascular dynamics. Biophys J 1991; 59: 945–949.

    Article  PubMed  CAS  Google Scholar 

  10. Osborne AR, Provenzale A. Finite correlation dimension for stochastic systems with power-law spectra. Physica D 1989; 35: 357–381.

    Article  Google Scholar 

  11. Bassingthwaighte JB. Physiological heterogeneity: Fractals link determinism and randomness in structures and functions. News Physiol Sci 1988; 3: 5–10.

    PubMed  Google Scholar 

  12. Bassingthwaighte JB, King RB, Roger SA. Fractal nature of regional myocardial blood flow heterogeneity. Circ Res 65:578–590, 1989.

    Article  PubMed  CAS  Google Scholar 

  13. Hurst HE. Long-term storage capacity of reservoirs. Trans Am Soc Civ Engrs 1951; 116: 770–808.

    Google Scholar 

  14. Mandelbrot BB, Wallis JR. Noah, Joseph, and operational hydrology. Water Resour Res 1968; 4: 909–918.

    Google Scholar 

  15. Feder J. Fractals. New York: Plenum Press, 1988).

    Google Scholar 

  16. Oude Vrielink HHE, Slaaf DW, Tangelder GJ, Weijmer-Van Velzen S, Reneman RS. Analysis of vasomotion waveform changes during pressure reduction and adenosine application. Am J Physiol (Heart Circ Physiol 27) 1990; 258: H29–H37.

    CAS  Google Scholar 

  17. Yamashiro SM, Slaaf DF, Reneman RS, Tangelder GJ, Bassingthwaighte JB. Fractal analysis of vasomotion. In: Jalife J (ed) Mathematical Approaches to Cardiac Arrhythmias,vol. 591. Ann NY Acad Sci 1990; 410–416.

    Google Scholar 

  18. Grassberger P, Procaccia I. Measuring the strangeness of strange attractors. Physica 1983; 9D: 189–208.

    Google Scholar 

  19. Liebovitch LS, Toth T. A fast algorithm to determine fractal dimensions by box counting. Phys Lett A 1989; 141: 386–390.

    Article  Google Scholar 

  20. Hou XJ, Gilmore R, Mindlin GB, Solari HG. An efficient algorithm for fast O(N*ln(N)) box counting. Phys Lett 1990; A151: 43–46.

    Google Scholar 

  21. Theiler J, Galdrilcian B, Longtin A, Eubank S, Farmer JS. Using surrogate data to detect nonlinearity in time series. Los Alamos Preprint 1991; LA-UR-91–2615.

    Google Scholar 

  22. Wolf A, Swift JB, Swinney HL, Vastano JA. Determining Lyapunov exponents from a time series. Physica 1985; 16D: 285–317.

    CAS  Google Scholar 

  23. Parker TS, Chua LO. Practical Numerical Algorithms for Chaotic Systems. New York: Springer-Verlag. 1989.

    Book  Google Scholar 

  24. Pincus SM. Approximate entropy as a measure of system complexity. Proc Natl Acad Sci 1991; 88: 2297–2301.

    Article  PubMed  CAS  Google Scholar 

  25. Goldberger A L. Fractal mechanisms in the electrophysiology of the heart. IEEE Eng Med Biol 1992; 11: 47–52.

    Article  CAS  Google Scholar 

  26. Garfinkel A, Spano ML, Ditto WL, Weiss JN. Controlling cardiac chaos. Science 1992; 257: 1230–1235.

    Article  PubMed  CAS  Google Scholar 

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© 1993 Springer Science+Business Media New York

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Bassingthwaighte, J.B. (1993). Chaos in Cardiac Signals. In: Sideman, S., Beyar, R. (eds) Interactive Phenomena in the Cardiac System. Advances in Experimental Medicine and Biology, vol 346. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2946-0_20

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  • DOI: https://doi.org/10.1007/978-1-4615-2946-0_20

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6280-7

  • Online ISBN: 978-1-4615-2946-0

  • eBook Packages: Springer Book Archive

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