Nonlinear analysis of continuous ECG during sleep I. Reconstruction

Biological Cybernetics

Volumn 82, Issue 6, 2000, Pages 477-483

  Fell, J ^a   Mann, K ^a   Roschke J ^a   Gopinathan, M S ^b  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

^b INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ADULT; ARTICLE; ELECTROENCEPHALOGRAPHY; HUMAN; MALE; NONLINEAR SYSTEM; PHYSIOLOGY; REFERENCE VALUE; SLEEP;

ADULT; ELECTROENCEPHALOGRAPHY; HUMANS; MALE; NONLINEAR DYNAMICS; REFERENCE VALUES; SLEEP;

EID: 0034204149     PISSN: 03401200     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004220050600     Document Type: Article

References (26)

1. Abarbanel HDI, Brown R, Sidorowich JJ, Tsimring LS (1993) The analysis of observed chaotic data in physical systems. Rev Mod Phys 65: 1331-1392
2. Babloyantz A, Destexhe A (1988) Is the normal heart a periodic oscillator? Biol Cybern 58: 203-211
3. Chialvo DR, Jalife J (1987) Non-linear dynamics of cardiac excitation and impulse propagation. Nature 330: 749-752
4. Chialvo DR, Gilmour RF, Jalife J (1990) Low dimensional chaos in cardiac tissue. Nature 343: 653-657
5. Fell J, Mann K, Röschke J, Gopinathan MS (2000) Nonlinear analysis of continuous ECG during sleep II. Dynamical measures. Biol Cybern 82: 485-491
6. Garfinkel A, Spano ML, Ditto WL, Weiss JN (1992) Controlling cardiac chaos. Science 257: 1230-1235
7. Goldberger AL, West BJ (1987) Applications of nonlinear dynamics to clinical cardiology. Ann NY Acad Sci 504: 195-213
8. Govindan RB, Narayanan K, Gopinathan MS (1998) On the evidence of deterministic chaos in ECG: surrogate and predictability analysis. Chaos 8: 495-502
9. Grassberger P, Procaccia I (1983) Measuring the strangeness of strange attractors. Physica D 9: 189-208
10. Grassberger P, Schreiber T, Schaffrath C (1991) Nonlinear time sequence analysis. Int J Bifurcation Chaos 1: 521-547
11. Kanters JK, Holstein-Rathlou N-H, Agner E (1994) Lack of evidence for low-dimensional chaos in heart rate variability. J Cardiovasc Electrophysiol 5: 591-601
12. Kantz H, Schreiber T (1998) The human ECG - nonlinear deterministic versus stochastic aspects. IEE Proc Sci Meas Tech 145: 279-284
13. Kennel MB, Brown R, Abarbanel HDI (1992) Determining embedding dimension for phase space reconstruction using a geometrical construction. Phys Rev A 45: 3403-3411
14. Lorenz EN (1963) Deterministic nonperiodic flow. Atmos Sci 20: 130
15. Narayanan K, Govindan RB, Gopinathan MS (1998) Unstable periodic orbits in human cardiac rhythms. Phys Rev E 57: 4594-4603
16. Pool R (1989) Is it healthy to be chaotic? Science 243: 604-607
17. Rapp PE, Albano AM, Zimmermann ID, Jimenez-Montano MA (1994) Phase-randomized surrogates can produce spurious identification of non-random structure. Phys Lett A 192: 27-33
18. Ravelli F, Antolini R (1992) Complex dynamics underlying the human electrocardiogram. Biol Cybern 67: 57-65
19. Rechtschaffen A, Kales A (1968) A manual of standarized terminology, technics, and scoring system for sleep stages of human subjects. Public Health Service, NIH Publication No. 204. US Government Printing Office, Washington, DC
20. Richter M, Schreiber T (1998) Phase space embedding of electrocardiograms. Phys Rev E 58: 6392-6398
21. Sano M, Sawada Y (1985) Measurement of the Lyapunov spectrum from a chaotic time series. Phys Rev Lett 55: 1082-1085
22. Sauer T, Yorke JA, Casdagli M (1991) Embedology. J Stat Phys 65: 579-616
23. Schreiber T, Schmitz A (1996) Improved surrogate data for nonlinearity tests. Phys Rev Lett 77: 635-638
24. Takens F (1981) Detecting strange attractors in turbulence. Lect Notes Math 898: 366-381
25. Theiler J (1986) Spurious dimension from correlation algorithms applied to limited time-series data. Phys Rev A 34: 2427-2432
26. Theiler J, Eubank S, Longtin A, Galdrikian B, Farmer JD (1992) Testing for nonlinearity in time series: the method of surrogate data. Physica D 58: 77-94