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Nonlinear dynamics of the blood flow studied by Lyapunov exponents

Bulletin of Mathematical Biology volume 60, pages 417–433 (1998)Cite this article

Abstract

In order to gain an insight into the dynamics of the cardiovascular system throughout which the blood circulates, the signals measured from peripheral blood flow in humans were analyzed by calculating the Lyapunov exponents. Over a wide range of algorithm parameters, paired values of both the global and the local Lyapunov exponents were obtained, and at least one exponent equaled zero within the calculation error. This may be an indication of the deterministic nature and finite number of degrees of freedom of the cardiovascular system governing the blood-flow dynamics on a time scale of minutes. A difference was observed in the Lyapunov dimension of controls and athletes.

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Affiliations

  1. Faculty of Electrical Engineering, Laboratory of Nonlinear Dynamics and Synergetics, University of Ljubljana, Ljubljana, Slovenia

    Maja Bračič & Aneta Stefanovska

Authors
  1. Maja Bračič
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  2. Aneta Stefanovska
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Correspondence to Maja Bračič.

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Bračič, M., Stefanovska, A. Nonlinear dynamics of the blood flow studied by Lyapunov exponents. Bull. Math. Biol. 60, 417–433 (1998). https://doi.org/10.1006/bulm.1997.0007

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  • DOI: https://doi.org/10.1006/bulm.1997.0007

Keywords

  • Heart Rate Variability
  • Radial Basis Function
  • Lyapunov Exponent
  • Large Lyapunov Exponent
  • Lyapunov Spectrum