Characterizing heart rate variability by scale-dependent Lyapunov exponent

Chaos

Volumn 19, Issue 2, 2009, Pages

  Hu, Jing ^a,b   Gao, Jianbo ^a   Tung, Wen Wen ^c  

^a PMB Intelligence LLC   (United States)

^b Thermo Fisher Scientific   (United States)

^c PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL MODEL; FRACTAL ANALYSIS; HEART ATRIUM FIBRILLATION; HEART FAILURE; HEART RATE; HUMAN; NONLINEAR SYSTEM; PATHOPHYSIOLOGY; PHYSIOLOGY; REFERENCE VALUE; STATISTICS;

ATRIAL FIBRILLATION; FRACTALS; HEART FAILURE; HEART RATE; HUMANS; MODELS, CARDIOVASCULAR; NONLINEAR DYNAMICS; REFERENCE VALUES; STOCHASTIC PROCESSES;

EID: 67651120017     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3152007     Document Type: Article

References (35)

1. J. S. Richman and J. R. Moorman, Am. J. Physiol. Heart Circ. Physiol. 0363-6135 278, H2039 (2000).
2. S. M. Pincus and R. R. Viscarello, Obstet. Gynecol. 0029-7844 79, 249 (1992).
3. M. Costa, A. L. Goldberger, and C. K. Peng, Phys. Rev. E 1063-651X 71, 021906 (2005). 10.1103/PhysRevE.71.021906 (Pubitemid 40606999)
4. D. T. Kaplan and A. L. Goldberger, J. Cardiovasc. Electrophysiol. 1045-3873 2, 342 (1991). 10.1111/j.1540-8167.1991.tb01331.x
5. A. L. Goldberger and B. J. West, Ann. N.Y. Acad. Sci. 0077-8923 504, 195 (1987). 10.1111/j.1749-6632.1987.tb48733.x
6. J. K. Kanters, N. H. Holstein-Rathlou, and E. Agner, J. Cardiovasc. Electrophysiol. 1045-3873 5, 591 (1994). 10.1111/j.1540-8167.1994.tb01300.x
7. M. Osaka, K. H. Chon, and R. J. Cohen, J. Cardiovasc. Electrophysiol. 1045-3873 6, 441 (1995). 10.1111/j.1540-8167.1995.tb00417.x
8. M. Costa, I. R. Pimentel, T. Santiago, P. Sarreira, J. Melo, and E. Ducla-Soares, J. Cardiovasc. Electrophysiol. 1045-3873 10, 1350 (1999). 10.1111/j.1540-8167.1999.tb00190.x
9. L. Glass, J. Cardiovasc. Electrophysiol. 1045-3873 10, 1358 (1999). 10.1111/j.1540-8167.1999.tb00191.x
10. C. S. Poon and C. K. Merrill, Nature (London) 0028-0836 389, 492 (1997). 10.1038/39043 (Pubitemid 27435323)
11. M. Kobayashi and T. Musha, IEEE Trans. Biomed. Eng. 0018-9294 29, 456 (1982). 10.1109/TBME.1982.324972
12. J. T. Bigger, R. C. Steinman, L. M. Rolnitzky, J. L. Fleiss, P. Albrecht, and R. J. Cohen, Circulation 0009-7322 93, 2142 (1996).
13. C. K. Peng, J. Mietus, J. M. Hausdorff, S. Havlin, H. E. Stanley, and A. L. Goldberger, Phys. Rev. Lett. 0031-9007 70, 1343 (1993). 10.1103/PhysRevLett. 70.1343
14. Y. Ashkenazy, P. C. Ivanov, S. Havlin, C. K. Peng, A. L. Goldberger, and H. E. Stanley, Phys. Rev. Lett. 0031-9007 86, 1900 (2001). 10.1103/PhysRevLett. 86.1900 (Pubitemid 32252805)
15. P. C. Ivanov, L. A. N. Amaral, A. L. Goldberger, S. Havlin, M. G. Rosenblum, Z. R. Struzik, and H. E. Stanley, Nature (London) 0028-0836 399, 461 (1999). 10.1038/20924 (Pubitemid 29258850)
16. J. B. Gao, Y. H. Cao, W. W. Tung, and J. Hu, Multiscale Analysis of Complex Time Series: Integration of Chaos and Random Fractal Theory, and Beyond (Wiley, New York, 2007).
17. J. B. Gao, J. Hu, W. W. Tung, and Y. H. Cao, Phys. Rev. E 1063-651X 74, 066204 (2006). 10.1103/PhysRevE.74.066204 (Pubitemid 44936013)
18. N. H. Packard, J. P. Crutchfield, J. D. Farmer, and R. S. Shaw, Phys. Rev. Lett. 0031-9007 45, 712 (1980). 10.1103/PhysRevLett.45.712
19. F. Takens, in Dynamical Systems and Turbulence, Lecture Notes in Mathematics Vol. 898, edited by, D. A. Rand, and, L. S. Young, (Springer-Verlag, Berlin, 1981), p. 366.
20. T. Sauer, J. A. Yorke, and M. Casdagli, J. Stat. Phys. 0022-4715 65, 579 (1991). 10.1007/BF01053745
21. M. Cencini, M. Falcioni, E. Olbrich, H. Kantz, and A. Vulpiani, Phys. Rev. E 1063-651X 62, 427 (2000). 10.1103/PhysRevE.62.427 (Pubitemid 30897685)
22. A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, Physica D 0167-2789 16, 285 (1985). 10.1016/0167-2789(85)90011-9
23. P. Grassberger and I. Procaccia, Phys. Rev. Lett. 0031-9007 50, 346 (1983). 10.1103/PhysRevLett.50.346
24. J. B. Gao, S. K. Hwang, and J. M. Liu, Phys. Rev. Lett. 0031-9007 82, 1132 (1999). 10.1103/PhysRevLett.82.1132
25. J. B. Gao, C. C. Chen, S. K. Hwang, and J. M. Liu, Int. J. Mod. Phys. B 0217-9792 13, 3283 (1999). 10.1142/S0217979299003027
26. K. Hwang, J. B. Gao, and J. M. Liu, Phys. Rev. E 1063-651X 61, 5162 (2000). 10.1103/PhysRevE.61.5162
27. J. B. Gao, J. Hu, W. W. Tung, Y. H. Cao, N. Sarshar, and V. P. Roychowdhury, Phys. Rev. E 1063-651X 73, 016117 (2006). 10.1103/PhysRevE.73. 016117 (Pubitemid 43254404)
28. M. Costa, A. L. Goldberger, and C. K. Peng, Phys. Rev. Lett. 0031-9007 95, 198102 (2005). 10.1103/PhysRevLett.95.198102
29. C. Diks, J. C. Vanhouwelingen, F. Takens, and J. Degoede, Phys. Lett. A 0375-9601 201, 221 (1995). 10.1016/0375-9601(95)00239-Y
30. L. Stone, G. Landan, and R. M. May, Proc. R. Soc. London, Ser. B 263, 1509 (1996). 10.1098/rspb.1996.0220
31. M. Strumik, W. M. Macek, and S. Redaelli, Phys. Rev. E 1063-651X 72, 036219 (2005). 10.1103/PhysRevE.72.036219
32. J. Hu, J. B. Gao, and K. D. White, Chaos, Solitons Fractals 0960-0779 22, 807 (2004). 10.1016/j.chaos.2004.02.061
33. J. B. Gao, Physica D 0167-2789 106, 49 (1997). 10.1016/S0167-2789(97) 00024-9
34. C. J. Cellucci, A. M. Albano, P. E. Rapp, R. A. Pittenger, and R. C. Josiassen, Chaos 1054-1500 7, 414 (1997). 10.1063/1.166214 (Pubitemid 127127343)
35. G. Q. Wu, N. M. Arzeno, L. L. Shen, D. K. Tang, D. A. Zheng, N. Q. Zhao, D. L. Eckberg, and C. S. Poon, PLoS ONE 4, e4323 (2009). 10.1371/journal.pone. 0004323