No Access

DISCRETE SCALE INVARIANCE IN THE CASCADE HEART RATE VARIABILITY OF HEALTHY HUMANS

D. C. LIN

Mechanical and Industrial Engineering Department, Ryerson University, Toronto, Ontario, Canada M5B 2K3, Canada

https://doi.org/10.1142/S0129183105007248Cited by:3 (Source: Crossref)

Abstract

Evidence of discrete scale invariance (DSI) in daytime healthy heart rate variability (HRV) is presented based on the log-periodic power law scaling of the heart beat interval increment. Our analysis suggests multiple DSI groups and a dynamic cascading process. A cascade model is presented to simulate such a property.

Keywords:

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

Task Force of the ESC and NASPEEuro. Heart J. 17, 354 (1996). Crossref, Web of Science, Google Scholar
M. Kobayashi and T. Musha, IEEE Trans. Biomed. Eng. 29, 456 (1982). Web of Science, Google Scholar
P. Ch. Ivanovet al., Lett. to Nature 399, 461 (1999). Crossref, Web of Science, Google Scholar
D. C. Lin and R. L. Hughson, Phys. Rev. Lett. 86, 1650 (2001); D. C. Lin and R. L. Hughson, IEEE Trans. Biomed. Eng. 49, 97 (2002); D. C. Lin, Fractals 11, 63 (2003); D. C. Lin, Phys. Rev. E 67, 031914 (2003) . Google Scholar
G. C. Butleret al., Clin. Sci. 92, 543 (1997). Crossref, Web of Science, Google Scholar
Y. Yamamoto et al., Am. J. Physiol. 269, H480 (1995); G. C. Butler et al., Am. J. Physiol. 26, R26 (1994) . Google Scholar
J. O. Fortratet al., Auton. Neurosci. 86, 192 (2001). Crossref, Web of Science, Google Scholar
F. Togo and Y. Yamamoto, Am. J. Physiol. Heart Circ. Physiol. 28, H17 (2001). Google Scholar
H. E. Stanley et al., Physica A 281, 60 (2000); P. Ch. Ivanov et al., Chaos 11, 641 (2001) . Google Scholar
P. Bernaola-Galvanet al., Phys. Rev. Lett. 87, 168105 (2001). Crossref, Web of Science, ADS, Google Scholar
F. Schmitt and D. Marsan, Eur. Phys. J. B 20, 3 (2001). Web of Science, ADS, Google Scholar
E. Bacry, J. Delour and J. F. Muzy, Phys. Rev. E 64, 026103 (2001). Crossref, Web of Science, Google Scholar
D. Sornette , Critical Phenomenon in Natural Sciences , Series in Synergetics ( Springer-Verlag , Heidelberg , 2000 ) . Crossref, Google Scholar
E. A. Novikov, Dokl. Akad. Nauk SSSR 168, 1279 (1966). Google Scholar
W.-X. Zhou and D. Sornette, Physica D 165, 94 (2002); D. Sornette, Phys. Rep. 297, 239 (1998) . Google Scholar
A. Johansen et al., J. Geophys. Res. 105, 28111 (2000); Y. Huang et al., J. Geophys. Res. 105, 28111 (2000) . Google Scholar
Y. Huanget al., Phys. Rev. E 55, 6433 (1997). Crossref, Web of Science, ADS, Google Scholar
A. Johansen, D. Sornette and O. Ledoit, J. Risk 1, 5 (1999). Crossref, Web of Science, Google Scholar
K. Falconer , Fractal Geometry, Mathematical Foundation and Applications ( John Wiley & Sons , Chichester , 1990 ) . Crossref, Google Scholar
J. D. Scargle, Astrophys. J. 263, 835 (1982). Crossref, Web of Science, ADS, Google Scholar
W.-X. Zhou and D. Sornette, Int. J. Mod. Phys. C 13, 137 (2002). Link, Web of Science, ADS, Google Scholar
A. L. Goldbergeret al., Circulation 101, 215 (2000). Crossref, Web of Science, Google Scholar
A. Arneodoet al., Phys. Rev. Lett. 68, 3456 (1992). Crossref, Web of Science, ADS, Google Scholar
D. Sornetteet al., Phys. Rev. Lett. 76, 251 (1996). Crossref, Web of Science, ADS, Google Scholar