New computational approaches to the analysis of interbeat intervals in human subjects

Computing in Science and Engineering

Volumn 8, Issue 2, 2006, Pages 54-65

  Tabar, Mohammad Reza Rahimi ^a   Ghasemi, Fatemeh ^b   Peinke, Joachim ^c   Friedrich, Rudolf ^d   Kaviani, Kamran ^e   Taghavi, Fatemeh ^f   Sadeghi, Sara ^a   Bizhani, Golnoosh ^g  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

^b INSTITUTE FOR STUDIES IN THEORETICAL PHYSICS AND MATHEMATICS IPM   (Iran)

^c UNIVERSITY OF OLDENBURG   (Germany)

^d UNIVERSITY OF MÜNSTER   (Germany)

^e ALZAHRA UNIVERSITY   (Iran)

^f IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

^g Sharif University ^*

Author keywords

[No Author keywords available]

Indexed keywords

DATA REDUCTION; DYNAMICS; MARKOV PROCESSES; TIME SERIES ANALYSIS;

KRAMERS-MOYAL (KM) COEFFICIENTS; MARKOV TIME SCALE;

COMPUTATIONAL METHODS;

EID: 33644637764     PISSN: 15219615     EISSN: None     Source Type: Journal    
DOI: 10.1109/MCSE.2006.29     Document Type: Article

References (39)

1. M.F. Shlesinger, "Behavioral-Independent Features of Complex Heartbeat Dynamics," Ann. New York Academy of Science, vol. 504, 1987, pp. 214-267.
2. J.B. Bassingthwaighte, L.S. Liebovitch, and B.J. West, Fractal Physiology, Oxford Univ. Press, 1994.
3. M. Malik and A.J. Camm, eds., Heart Rate Variability, Futura, 1995.
4. M. Kobayashi and T. Musha, "1/f Fluctuation of Heartbeat Period," IEEE Trans. Biomedical Eng., vol. 29, 1982, pp. 456-461.
5. J.M. Hausdorff et al., "Fractal Dynamics of Human Gait-Stability of Long-Range Correlations in Stride Interval Fluctuations," J. Applied Physiology, vol. 80, 1996, pp. 1448-1454.
6. S.B. Lowen, L.S. Liebovitch, and J.A. White, "Fractal Ion-Channel Behavior Generates Fractal Firing Patterns in Neuronal Models," Physical Rev. E, vol. 59, 1999, pp. 5970-5980.
7. Y. Yamamoto et al., "An Indication of Deterministic Chaos in Human Heart Rate Variability at Simulated Extreme Altitude," Biological Cybernetics, vol. 69, 1993, pp. 205-211.
8. J.K. Kanters, N.H. Holstein-Rathlou, and E. Agner, "Lack of Evidence for Low-Dimensional Chaos in Heart Rate Variability," J. Cardiovascular Electrophysiology, vol. 5, 1994, pp. 128-137.
9. J. Kurths et al., "Complexity Measures for the Analysis of Heart Rate Variability," Chaos, vol. 5, 1995, pp. 88-96.
10. P.Ch. Ivanov et al., "Scaling Behaviour of Heartbeat Intervals Obtained by Wavelet-Based Time-Series Analysis," Nature, vol. 383, 1996, pp. 323-326.
11. G. Sugihara et al., "Nonlinear Control of Heart Rate Variability in Human Infants," Proc. Nat'l Academy of Sciences USA, vol. 93, 1996, pp. 2608-2614.
12. C.-S. Poon and C.K. Merrill, "Decrease of Cardiac Chaos in Congestive Heart Failure," Nature, vol. 389, 1997, pp. 492-494.
13. P.Ch. Ivanov et al., "Multifractality in Human Heartbeat Dynamics," Nature, vol. 399, 1999, pp. 461-464.
14. M. Mackey and L. Glass, "Oscillation and Chaos in Physiological Control Systems," Science, vol. 197, 1977, pp. 287-290.
15. M.M. Wolf et al., "Sinus Arrhythmia in Acute Myocardial Infarction," Medical J. Australia, vol. 2, 1978, pp. 52-67.
16. R.I. Kitney and O. Rompelman, The Study of Heart-Rate Variability, Oxford Univ. Press, 1980.
17. S. Akselrod et al., "Power Spectrum Analysis of Heart Rate Fluctuation: A Quantitative Probe of Beat-to-Beat Cardiovascular Control," Science, vol. 213, 1981, pp. 220-224.
18. C.-K. Peng et al., "Quantification of Scaling Exponents and Crossover Phenomena in Nonstationary Heartbeat Time Series," Chaos, vol. 5, 1995, pp. 82-87.
19. Y. Ashkenazy et al., "Magnitude and Sign Correlations in Heartbeat Fluctuations," Physical Rev. Letters, vol. 86, 2001, pp. 1900-1903.
20. R. Friedrich and J. Peinke, "Description of a Turbulent Cascade by a Fokker-Planck Equation," Physical Rev. Letters, vol. 78, 1997, pp. 863-866.
21. J. Davoudi and M.R. Rahimi Tabar, "Theoretical Model for the Kramers-Moyal Description of Turbulence Cascades," Physical Rev. Letters, vol. 82, 1999, pp. 1680-1683.
22. C.R. Jafari et al., "Stochastic Analysis and Regeneration of Rough Surfaces," Physical Rev. Letters, vol. 91, 2003, pp. 226101/1 -226101/4.
23. R. Friedrich, J. Peinke, and C. Renner, "How to Quantify Deterministic and Random Influences on the Statistics of the Foreign Exchange Market," Physical Rev. Letters, vol. 84, 2000, pp. 5224-5227.
24. M. Siefert et al., "On a Quantitative Method to Analyze Dynamical and Measurement Noise," Europhysics Letters, vol. 61, 2003, pp. 466-469.
25. M. Ragwitz and H. Kantz, "Indispensable Finite Time Corrections for Fokker-Planck Equations from Time Series Data," Physical Rev. Letters, vol. 87, 2001, pp. 254501/1-254501/4.
26. P.Ch. Ivanov et al., "Sleep-Wake Differences in Scaling Behavior of the Human Heartbeat: Analysis of Terrestrial and Long-Term Space Flight Data," Europhysics Letters, vol. 48, 1999, pp. 594-598.
27. Y. Ashkenanzy et al., "Noise Effects on the Complex Patterns of Abnormal Heartbeats," Physical Rev. Letters, vol. 87, 2001, pp. 068104/1-068104/4.
28. F. Chasemi et al., "Regeneration of Stochastic Processes: An Inverse Method," European Physical J. B, vol. 47, 2005, pp. 411-415.
29. F. Chasemi et al., "Statistical Properties of the Interbeat Interval Cascade in Human Hearts," to be published in Int'l J. Modern Physics C, 2005.
30. T. Kuusela, "Stochastic Heart-Rate Model Can Reveal Pathologic Cardiac Dynamics," Physical Rev. E, vol. 69, 2004, pp. 031916/1-031916/5.
31. R. Benzi et al., "Scaling Property of Turbulent Ows," Physica D, vol. 96, 1996, pp. 162-168.
32. A. Bershadskii and K.R. Sreenivasan, "Extended Self-Similarity of the Small-Scale Cosmic Microwave Background Anisotropy," Physics Letters A, vol. 319, 2003, pp. 21-24.
33. F. Ghasemi et al., "The Extended Self-Similarity of Interbeat Intervals in Human Subjects," to be published in J. Statistical Mechanics Theory and Experiment, 2006.
34. M.R. Rahimi Tabar et al., "Dynamics of the Markov Time Scale of Seismic Activity May Provide a Short-Term Alert for Earthquakes," to be published in Geophysical Research Letters, 2006.
35. R.C. Turcott and M.C. Teich, "Fractal Character of the Electrocardiogram: Distinguishing Heart-Failure and Normal Patients," Ann. Biomedical Eng., vol. 24, 1996, pp. 269-275.
36. L.A. Lipsitz et al., "Spectral Characteristics of Heart Rate Variability Before and During Postural Tilt: Relations to Aging and Risk of Syncope," Circulation, vol. 81, 1990, pp. 1803-1808.
37. N. Iyengar et al., "Age-Related Alterations in the Fractal Scaling of Cardiac Interbeat Interval Dynamics," Am. J. Physiology, vol. 271, 1996, pp. R1078-R1083.
38. P.Ch. Ivanov et al., "Stochastic Feedback and the Regulation of Biological Rhythms," Europhysics Letters, vol. 43, 1998, pp. 363-368.
39. F. Ghasemi et al., "The Kramers-Moyal Expansion and Langevin Equation for the Stochastic Fluctuations in the Oil Price," submitted to Physical Rev. Letters, 2005.