Interpretation of heart rate variability via detrended fluctuation analysis and αβ filter

Chaos

Volumn 13, Issue 2, 2003, Pages 467-475

  Echeverria J C ^a,b   Woolfson, M S ^a   Crowe, J A ^a   Hayes Gill, B R ^a   Croaker, G D H ^c,d   Vyas, H ^d  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^b DEPARTAMENTO DE SISTEMAS BIOLÓGICOS   (Mexico)

^c NOTTINGHAM CITY HOSPITAL   (United Kingdom)

^d QUEEN S MEDICAL CENTRE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041708246     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1562051     Document Type: Article

References (38)

1. C.-K. Peng, S. Havlin, H. E. Stanley, and A. L. Goldberger, Chaos 5, 82 (1995).
2. Task Force of the European Society of Cardiology, the North American Society of Pacing, and Electrophysiology, Eur. Heart J. 17, 354 (1996).
3. N. Iyengar, C.-K. Peng, R. Morin, A. L. Goldberger, and L. Lipsitz, Am. J. Physiol. 271, R1078 (1996).
4. G. M. Viswanathan, C.-K. Peng, H. E. Stanley, and A. L. Goldberger, Phys. Rev. E 55, 845 (1997).
5. S. Kingsley and S. Quegan, Understanding Radar Systems (McGraw-Hill, New York, 1992).
6. M. Woolfson, A. Ferrah, K. J. Bradley, and G. M. Asher, Appl. Signal Processing 4, 212 (1997).
7. M. Munu, I. Harrison, and M. Woolfson, Appl. Signal Processing 2, 24 (1995).
8. S. C. Malpas, Am. J. Physiol. Heart Circ. Physiol. 282, H6 (2002).
9. J. M. Karemaker, J. Physiol. (Paris) 517, 316 (1999).
10. D. Eckberg, Circulation 96, 3226 (1996).
11. J. Beran, Statistics for Long-memory Processes (Chapman & Hall, New York, 1994).
12. Self-organized Biological Dynamics and Nonlinear Control, edited by J. Walleczek (Cambridge University Press, Cambridge, 2000), Chap. 3.
13. C.-K. Peng, S. V. Buldyrev, S. Havlin, M. Simons, H. E. Stanley, and A. L. Goldberger, Phys. Rev. E 49, 1685 (1994).
14. P. C. Ivanov, L. A. Nunes, A. L. Golberger, S. Halvin, M. G. Rosenblum, H. E. Stanley, and Z. R. Struzik, Chaos 11, 641 (2001).
15. A. Eke, P. Hermn, J. B. Bassingthwaighte, G. M. Raymond, D. B. Percival, M. Cannon, I. Balla, and C. Ikrnyi, Eur. J. Physiol. 439, 403 (2000).
16. M. Taqqu, V. Teverovsky, and W. Willinger, Fractals 3, 785 (1995).
17. P. Ivanov, A. Bunde, L. A. N. Amaral, S. Havlin, J. Fritsch-Yelle, R. M. Baevsky, H. E. Stanley, and A. L. Goldberger, Europhys. Lett. 48, 594 (1999).
18. S. Buldyrev, N. V. Dokholyan, A. L. Goldberger, S. Havlin, C.-K. Peng, H. E. Stanley, and G. M. Viswanathan, Physica A 249, 430 (1998).
19. Higher order polynomials may also be used in this fitting procedure. However, it has been reported that the inherent deviations at small scales appear to become stronger in higher order of DFA (Refs. 22 and 28). Additionally, crossovers produced by sinusoidal trends, like the ones analyzed in this contribution, are shifted to larger values for higher orders of detrending (Refs. 22 and 28). Finally, HRV data have been normally analyzed using linear detrending DFA which is the order that we employed in this study.
20. In spite of recognizing that a has been the notation extensively used elsewhere to describe the fractal scaling exponent, we have used instead the notation αβ to avoid creating confusion with the αβ filter concept described in this paper.
21. M. S. Woolfson, GEC J. Res. 3, 181 (1985).
22. J. Kantelhardt, E. Koscielny-Bunde, H. H. A. Rego, S. Havlin, and A. Bunde, Physica A 295, 441 (2001).
23. C.-K. Peng, S. V. Buldyrev, A. L. Goldberger, S. Havlin, M. Simons, and H. E. Stanley, Phys. Rev. E 47, 3730 (1993).
24. The Science of Fractal Images, edited by P. Heinz-Otto and D. Saupe (Springer, New York, 1988), Chap. 2.
25. A. Goldberger, L. A. N. Amaral, L. Glass, J. M. Hausdorff, P. Ivanov, R. G. Mark, J. E. Mietus, G. B. Moody, C.-K. Peng, and H. E. Stanley, Circulation 101, e215 (2000).
26. K. Ho, G. B. Moody, C.-K. Peng, J. E. Mietus, M. G. Larson, D. Levy, and A. L. Goldberger, Circulation 96, 842 (1997).
27. H. Huikuri, T. H. Makikallio, C.-K. Peng, A. L. Goldberger, U. Hintze, and M. Moller, Circulation 101, 47 (2000).
28. K. Hu, P. C. Ivanov, Z. Chen, P. Carpena, and H. E. Stanley, Phys. Rev. E 64, 011114 (2001).
29. It is important to mention that these deviations are not only intrinsic to DFA. For example, deviations from an expected scaling behavior at small scales have also been described in the context of Hurst analysis [B. B. Mandelbrot and J. R. Wallis, Water Resour. Res. 5, 321 (1969)].
30. F. Lombardi, Circulation 101, 8 (2000).
31. P. B. Persson, Physiol. Rev. 76, 193 (1996).
32. Z. Chen, P. C. Ivanov, K. Hu, and H. E. Stanley, Phys. Rev. E 65, 041107 (2002).
33. G. B. Moody, R. G. Mark, M. A. Bump, J. S. Weinstein, A. D. Berman, J. E. Mietus, and A. L. Goldberger, Comput. Cardiol. 13, 507 (1986).
34. A. L. Goldberger, D. R. Rigney, J. Mietus, E. M. Antman, and S. Greenwald, Experientia 44, 983 (1988).
35. Y. Nakamura, Y. Yamamoto, and I. Muraoka, J. Appl. Physiol. 74, 875 (1993).
36. F. Togo and Y. Yamamoto, Am. J. Physiol. Heart Circulation Physiology 280, H17 (2000).
37. T. Tamura, T. Maekawa, K. Nakajima, D. Sadamitsu, and A. Tateishi, Chronobiol Int. 15, 633 (1998).
38. J. Kucera, M. O. Heuschkel, P. Renaud, and S. Rohr, Circ. Res. 86, 1140 (2000).