Revealing local variability properties of human heartbeat intervals with the local effective Hölder exponent

Fractals

Volumn 9, Issue 1, 2001, Pages 77-93

  Struzik, Zbigniew R ^a  

^a CWI   (Netherlands)

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[No Author keywords available]

Indexed keywords

EID: 0345975530     PISSN: 0218348X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218348X0100049X     Document Type: Article

References (28)

1. Z. R. Struzik, "Local Effective Hölder Exponent Estimation on the Wavelet Transform Maxima Tree," in Fractals: Theory and Applications in Engineering, eds. M. Dekking, J. Lëvy Vëhel, E. Lutton and C. Tricot (Springer-Verlag, 1999), pp. 93-112.
2. Z. R. Struzik, "Determining Local Singularity Strengths and Their Spectra with the Wavelet Transform," Fractals 8(2), 163-179 (2000).
3. P. Ch. Ivanov, M. G. Rosenblum, L. A. Nunes Amaral, Z. R. Struzik, S. Havlin, A. L. Goldberger and H. E. Stanley, "Multifractality in Human Heartbeat Dynamics," Nature 399, 461-465 (1999).
4. M. Kobayashi and T. Musha, "1/f Fluctuation of Heartbeat Period," IEEE Trans Biomed. Eng. 29, 456-457 (1981).
5. C.-K. Peng, J. Mietus, J. M. Hausdorff, S. Havlin, H. E. Stanley and A. L. Goldberger, "Long-Range Anticorrelations and Non-Gaussian Behavior of the Heartbeat," Phys. Rev. Lett. 70, 1343-1346 (1993).
6. J. B. Bassingthwaighte, L. S. Liebovitch and B. J. West, Fractal Physiology (Oxford University Press, 1994).
7. R. G. Turccot, M. C. Teich, "Fractal Character of the Electrocardiogram: Distinguishing Heart-Failure and Normal Patients," Ann. Biomed. Eng. 24, 269-293 (1996).
8. M. Meyer, "Scaling Properties of Heartbeat Interval Fluctuations in Health and Disease," in Fractals and Beyond, ed. M. M. Novak (World Scientific, 1998), pp. 33-42.
9. A. Arneodo, E. Bacry and J. F. Muzy, "Wavelets and Multifractal Formalism for Singular Signals: Application to Turbulence Data," PRL 67(25), 3515 (1991).
10. A. Arneodo, E. Bacry and J. F. Muzy, "The Thermodynamics of Fractals Revisited with Wavelets," Physica A213, 232 (1995); J. F. Muzy, E. Bacry and A. Arneodo, "The Multifractal Formalism Revisited with Wavelets," Int. J. Bifurc. Chaos 4(2), 245 (1994).
11. A. Arneodo, E. Bacry and J. F. Muzy, "The Thermodynamics of Fractals Revisited with Wavelets," Physica A213, 232 (1995); J. F. Muzy, E. Bacry and A. Arneodo, "The Multifractal Formalism Revisited with Wavelets," Int. J. Bifurc. Chaos 4(2), 245 (1994).
12. A. Arneodo, A. Argoul, J. F. Muzy, M. Tabard and E. Bacry, "Beyond Classical Multifractal Analysis using Wavelets: Uncovering a Multiplicative Process Hidden in the Geometrical Complexity of Diffusion Limited Aggregates," Fractals 1, 629 (1995).
13. A. Arneodo, E. Bacry, P. V. Graves and J. F. Muzy, "Characterizing Long-Range Correlations in DNA Sequences from Wavelet Analysis," PRL 74(16), 3293 (1995).
14. A. Davis, A. Marshak and W. J. Wiscombe, "Wavelet-Based Multifractal Analysis of Nonstationary and/or Intermittent Geophysical Signals," in Wavelets in Geophysics, eds. E. Foufoula-Georgiou and P. Kumar (Academic Press, 1994), pp. 249-298.
15. M. Farge, N. K.-R. Kevlahan, V. Perrier, "Turbulence Analysis, Modelling and Computing Using Wavelets," in Wavelets in Physics, ed. J. C. van den Berg (Cambridge University Press, 1999), pp. 117-200.
16. P. Ch. Ivanov, M. G. Rosenblum, C.-K. Peng, J. Mietus, S. Havlin, H. E. Stanley and A. L. Goldberger, "Scaling Behaviour of Heartbeat Intervals Obtained by Wavelet-Based Time-Series Analysis," Nature 383, 323 (1996).
17. I. Daubechies, Ten Lectures on Wavelets (S.I.A.M., 1992).
18. M. Holschneider, Wavelets - An Analysis Tool (Oxford Science Publications, 1995).
19. S. Mallat, A Wavelet Tour of Signal Processing (Academic Press, 1998).
20. S. Jaffard, "Multifractal Formalism for Functions: I. Results Valid for all Functions, II. Self-Similar Functions," SIAM J. Math. Anal. 28(4), 944-998 (1997).
21. S. Mallat and W. L. Hwang, "Singularity Detection and Processing with Wavelets," IEEE Trans. Inf. Th. 38, 617 (1992).
22. S. Mallat and S. Zhong, "Complete Signal Representation with Multiscale Edges," IEEE Trans. PAMI 14, 710 (1992).
23. Z. R. Struzik, "The Wavelet Transform in the Solution to the Inverse Fractal Problem," Fractals 3(2), 329 (1995); Z. R. Struzik, From Coastline Length to Inverse Fractal Problem: The Concept of Fractal Metrology, Thesis, University of Amsterdam (1996).
24. Z. R. Struzik, "The Wavelet Transform in the Solution to the Inverse Fractal Problem," Fractals 3(2), 329 (1995); Z. R. Struzik, From Coastline Length to Inverse Fractal Problem: The Concept of Fractal Metrology, Thesis, University of Amsterdam (1996).
25. A. Arneodo, E. Bacry and J. F. Muzy, "Solving the Inverse Fractal Problem from Wavelet Analysis," Europhys. Lett. 25(7), 479-484 (1994).
26. http://www.physionet.org/physiobank
27. P. Ch. Ivanov, A. Bunde, L. A. N. Amaral, J. Fritsch-Yelle, R. M. Baevsky, S. Havlin, H. E. Stanley and A. L. Goldberger, "Sleep-Wake Differences in Scaling Behavior of the Human Heartbeat: Analysis of Terrestrial and Long-Term Space Flight Data," Europhys. Lett. 48, 594-600 (1999).
28. T. Penzel, A. Bunde, J. Heitmann, J. W. Kantelhardt, J. H. Peter & K. Voigt, "Sleep-Stage-Dependent Heart Rate Variability in Patients with Obstructive Sleep Apnea," in Computers in Cardiology 26, 249-252 (1999).