Re: Lyapunov exponent in hemodynamical time series

Robin Lake wrote:
Karl Loy wrote:
Hi,
I'm an anesthesiologist doing some research in nonlinear timeseries analysis of hemodynamical measurements. More precisely, I'm trying to calculate the largest Lyapunov exponent and correlation dimension of some hemodynamic parameters like invasive blood pressure. Still I have some kind of trouble finding the adequate embedding parameters.
Is there anybody having experience with this kind of analysis?
Thanks a lot for every answer,
M. Stephan, MD

I recall some work by Eugene Stanley of Boston University in the past couple of years. Sorry I can't be more precise.

Cheers,
Rob Lake

P. Ch. Ivanov, Z. Chen, K. Hu, and H. E. Stanley, "Multiscale Aspects of Cardiac Control," Physica A 344, 685-704 (2004).

A. L. Goldberger, L. A. N. Amaral, J. M. Hausdorff, P. Ch. Ivanov, C.-K. Peng, and H. E. Stanley, "Fractal Dynamics in Physiology: Alterations with Disease and Aging," Proc. Natl. Acad. Sci. 99-Supp, 2466-2472 (2002).

J. W. Kantelhardt, Y. Ashkenazy, P. Ch. Ivanov, A. Bunde, A. L. Goldberger, S. Havlin, T. Penzel, J.-H. Peter, and H. E. Stanley, "Characterization of Sleep Stages by Correlations in the Magnitude and Sign of Heartbeat Increments," Phys. Rev. E 65, 051908 (2002).

J. W. Kantelhardt, S. Zschiegner, E. Koscielny-Bunde, S. Havlin, A. Bunde, and H. E. Stanley, "Multifractal Detrended Fluctuation Analysis of Nonstationary Time Series," Physica A 316, 87-114 (2002)

V. Schulte-Frohlinde, Y. Ashkenazy, P. Ch. Ivanov, L. Glass, A. L. Goldberger, and H. E. Stanley, "Noise Effects on the Complex Patterns of Abnormal Heartbeats," Phys. Rev. Lett. 87, 068104 (2001)

L. A. N. Amaral, P. Ch. Ivanov, N. Aoyagi, I. Hidaka, S. Tomono, A. L. Goldberger, H. E. Stanley, and Y. Yamamoto, "Behavioral-Independent Features of Complex Heartbeat Dynamics," Phys. Rev. Lett. 86, 6026-6029 (2001). PDF

P. Bernaola-Galvan, P. Ch. Ivanov, L. A. N. Amaral, and H. E. Stanley, "Scale Invariance in the Nonstationarity of Human Heart Rate," Phys. Rev. Lett. 87, 168105 (2001).

P. Ch. Ivanov, L. A. N. Amaral, A. L. Goldberger, S. Havlin, M. G. Rosenblum, H. E. Stanley, and Z. Struzik, "From 1/f Noise to Multifractal Cascades in Heartbeat Dyamics," Chaos 11, 641-652 (2001).

L. A. N. Amaral, A. L. Goldberger, P. Ch. Ivanov, and H. E. Stanley, "Modeling Heart Rate Variability by Stochastic Feedback," Comp. Phys. Comm. 121-122, 126-128 (1999).

S. Havlin, L. A. N. Amaral, Y. Ashkenazy, A. L. Goldberger, P. Ch. Ivanov, C.-K. Peng, and H. E. Stanley, "Application of Statistical Physics to Heartbeat Diagnosis," Physica A 274, 99-110 (1999).

See:
http://polymer.bu.edu/hes/articles/



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