Characterization of Cardiac Dynamics from Locally Topological Considerations

  • Victor F. Dailyudenko
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3991)


Evolution of cardiac activity is investigated by means of methods of nonlinear dynamics, namely the method of temporal localization on the attractor reconstructed from electrocardiogram (ECG) signal is proposed for this purpose. Convergence for the function of topological instability at changing dimensionality is proved both theoretically and numerically, independently on personal features of subjects in the latter case, that provides the opportunity to estimate the complexity of cardiac dynamics. In contrast, that instability function normalized by its average displays different kind of behaviour that somewhat differs for various persons and reflects their individual features.


Phase Trajectory Nonlinear Time Series Slant Angle Instability Function Nonlinear Time Series Analysis 


  1. Bezerianos, A., Bountis, T., Papaioannou, G., Polydoropoulos, P.: Nonlinear time series analysis of electrocardiograms. Chaos 5, 95–101 (1995)CrossRefGoogle Scholar
  2. Nonnenmacher, T.F., Losa, G.A., Wribel, E.R. (eds.): Fractals in Biology and Medicine. Birkhauser, Basel (1994)MATHGoogle Scholar
  3. Wang, J., Ning, X., Chen, Y.: Multifractal analysis of electronic cardiogram taken from healthy and unhealthy adult subjects. Physica A 323, 561–568 (2003)MATHCrossRefMathSciNetGoogle Scholar
  4. Albano, A.M., Passamante, A., Farrell, M.E.: Using higher-order correlations to define an embedding window. Physica D 54, 85–97 (1991)MATHCrossRefMathSciNetGoogle Scholar
  5. Takens, F.: Detecting strange attractors in turbulence. In: EAMT-WS 1993. Lecture Notes in Math, vol. 898, pp. 366–381. Springer, Berlin (1981)CrossRefGoogle Scholar
  6. Dailyudenko, V.F.: Nonlinear time series processing by means of ideal topological stabilization analysis and scaling properties investigation. In: Proc. of the SPIE’s Conf. on Applications and Science of Computational Intelligence II, Orlando, Florida, USA, April 1999, vol. 3722, pp. 108–119 (1999)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Victor F. Dailyudenko
    • 1
  1. 1.Institute of Informatics Problems NAS of BelarusMinskBelarus

Personalised recommendations