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Related Experiment Videos

Ventricular response in atrial fibrillation: random or deterministic?

K M Stein1, J Walden, N Lippman

  • 1Division of Cardiology, Department of Medicine, New York Hospital-Cornell Medical Center, New York, New York 10021, USA. kstein@mail.med.cornell.edu

The American Journal of Physiology
|August 13, 1999
PubMed
Summary
This summary is machine-generated.

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The irregular heart rhythms in atrial fibrillation show some short-term predictability but lack the sensitive dependence on initial conditions characteristic of true chaos. This suggests a low-dimensional chaotic attractor does not govern the ventricular response.

Area of Science:

  • Cardiology
  • Nonlinear Dynamics
  • Computational Biology

Background:

  • The ventricular response in atrial fibrillation (AF) is often termed
  • but lacks rigorous mathematical proof.
  • Chaotic systems exhibit sensitive dependence on initial conditions, leading to exponential divergence of similar sequences.

Purpose of the Study:

  • To investigate the predictability and sensitive dependence on initial conditions in the ventricular response during atrial fibrillation.
  • To determine if a low-dimensional chaotic attractor governs the irregular heart rhythms in AF.

Main Methods:

  • Development of a nonlinear predictive forecasting algorithm.
  • Testing the algorithm on simulated data (linear oscillator, logistic map, pseudorandom signal) with and without noise.

Related Experiment Videos

  • Application of the algorithm to R-R intervals from 16 patients with chronic atrial fibrillation.

    • Main Results:

    • Linear oscillators showed sustained predictability.
    • The chaotic logistic map exhibited high short-term predictability that rapidly declined.
    • The ventricular response in AF demonstrated weak statistical predictability in 8 of 16 patients, without sensitive dependence on initial conditions.

    Conclusions:

    • The R-R interval sequence in atrial fibrillation is not entirely unpredictable.
    • A low-dimensional chaotic attractor does not appear to govern the ventricular response in AF.
    • The findings challenge the strict mathematical definition of chaos for AF ventricular response.