Surrogate data analysis of sleep electroencephalograms reveals evidence for nonlinearity

Biological Cybernetics

Volumn 75, Issue 1, 1996, Pages 85-92

  Fell, Jürgen ^a   Röschke, Joachim ^a   Schäffner, Cornelius ^a  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ADULT; ARTICLE; BIOLOGICAL MODEL; CYBERNETICS; ELECTROENCEPHALOGRAPHY; HUMAN; MALE; NONLINEAR SYSTEM; PHYSIOLOGY; SLEEP; STATISTICAL ANALYSIS; STATISTICAL MODEL; STATISTICS;

ADULT; CYBERNETICS; DATA INTERPRETATION, STATISTICAL; ELECTROENCEPHALOGRAPHY; HUMANS; LINEAR MODELS; MALE; MODELS, NEUROLOGICAL; NONLINEAR DYNAMICS; SLEEP; STOCHASTIC PROCESSES;

EID: 0030186511     PISSN: 03401200     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00238742     Document Type: Article

References (35)

1. Achermann P, Hartmann R, Gunzinger A, Guggenbuhl W, Borbély AA (1994) All night sleep EEG and artificial stochastic control signals have similar correlation dimensions. Electroencephalogr Clin Neurophysiol 90:384-387
2. Aihara K, Matsumoto G (1986) Chaotic oscillations and bifurcations in squid giant axons. In: Holden AV (ed) Chaos. Princeton, NJ, Princeton University Press, pp 257-270
3. Basar E (ed) (1990) Chaos in brain function. Springer, Berlin Heidelberg New York
4. Fell J, Beckmann P (1994) Resonance like phenomena in Lyapunovcalculations from data reconstructed by the time-delay-method. Phys Lett A 190:172-176
5. Fell J, Röschke J (1994) Nonlinear dynamical aspects of the human sleep EEG. Int J Neurosci 76:109-129
6. Fell J, Röschke J, Beckmann P (1993) Deterministic chaos and the first positive Lyapunov-exponent: a nonlinear analysis of the human electroencephalogram during sleep. Biol Cybern 69:139-146
7. Frank GW, Lookman T, Nerenberg MAH, Essex C, Lemieux J, Blume W (1990) Chaotic time series analyses of epileptic seizures. Physica D 46:427-438
8. Freeman WJ (1987) Simulation of chaotic EEC patterns with a dynamic model of the olfactory system. Biol Cybern 56:139-150
9. Glass L, Kaplan DT, Lewis JE (1993) Tests for deterministic dynamics in real and model neural networks. In: Jansen B, Brandt M (eds) Nonlinear dynamical analysis of the EEG. World Scientific, Singapore, pp 233-249
10. Grassberger P, Procaccia I (1983) Measuring the strangeness of strange attractors. Physica D 9:189-208
11. Grassberger P, Schreiber T, Schaffrath C (1991) Nonlinear time sequence analysis. Int J Bifurcation Chaos 1:521-547
12. Green ML, Savit R (1991) Dependent variables in broad band continuous time series. Physica D 50:521-544
13. Holden AV, Winlow W, Haydon PG (1982) The induction of periodic and chaotic activity in a molluscan neurone. Biol Cybern 43:169-173
14. lasemidis LD, Sackellares JC, Savit RS (1993) Quantification of hidden time dependencies in the EEG within the framework of nonlinear dynamics. In: Jansen B, Brandt M (eds) Nonlinear dynamical analysis of the EEG. World Scientific, Singapore, pp 30-48
15. Kaplan DT, Glass L (1992) Direct test for determinism in a time series. Phys Rev Lett 68:427-430
16. Lutzenberger W, Birbaumer N, Flor H, Rockstroh B, Elbert T (1992) Dimensional analysis of the human EEG and intelligence. Neurosci Lett 143:10-14
17. Palus (1993) Testing for nonlinearity in the EEG. In: Jansen B, Brandt M (eds) Nonlinear dynamical analysis of the EEG. World Scientific, Singapore, pp 100-115
18. Pijn JP, Van Neerven J, Noest A, Lopes da Silva FH (1991) Chaos or noise in EEG signals: dependence on state and brain site. Electroencephalogr Clin Neurophysiol 79:371-381
19. Prichard D, Theiler J (1994) Generating surrogate data for time series with several simultaneously measured variables. Phys Rev Lett 73:951-954
20. Pritchard WS, Duke DW (1992) Measuring chaos in the brain: a tutorial review of nonlinear dynamical EEG analysis. Int J Neurosci 67:31-80
21. Pritchard WS, Duke DW, Coburn KL, Moore NC, Tucker KA, Jann MW, Hosteller RM (1994) EEC-based, neural-net predictive classification of Alzheimer's disease versus control subjects is augmented by non-linear EEG measures. Electroencephalogr Clin Neurophysiol 91:118-130
22. Pritchard WS, Duke DW, Krieble KK (1995) Dimensional analysis of resting human EEG. II. Surrogate-data testing indicates nonlinearity but not low-dimensional chaos. Psychophysiology 32:486-191
23. Rapp PE, Albano AM, Zimmerman ID, Jiménez-Montaño MA (1994) Phase-randomized surrogates can produce spurious identifications of non-random structure. Phys Lett A 192:27-33
24. Rechtschaffen A, Kales A (1968) A manual of standardized terminology, technics and scoring system for sleep stages of human subjects. Public Health Service, NIH publication no. 204. US Government Printing Office, Washington, DC
25. Rombouts SARD, Keunen RWM, Stam CJ (1995) Investigation on nonlinear structure in multichannel EEG. Phys Lett A 202:352-358
26. Roschke J, Aldenhoff JB (1993) Estimation of the dimensionality of sleep-EEG data in schizophrenics. Eur Arch Psychiatr Clin Neurosci 242:191-196
27. Roschke J, Mann K, Fell J (1994) Nonlinear EEG dynamics during sleep in depression and schizophrenia. Int J Neurosci 75:271-284
28. Roschke J, Fell J, Beckmann P (1995) A nonlinear analysis of sleep EEG data in schizophrenia: calculation of the principal Lyapunov-exponent. Psychiatr Res 56:257-269
29. Sheinkman J, LeBaron B (1989) Nonlinear dynamics and stock returns. J Business 62:311
30. Soong ACK, Stuart CUM (1989) Evidence of chaotic dynamics underlying the human alpha-rhythm electroencephalogram. Biol Cybern 62:55-62
31. Takens F (1981) Detecting strange attractors in turbulence. Lect Notes Math 898:366-381
32. Theiler J (1986) Spurious dimension from correlation algorithms applied to limited time-series data. Phys Rev A 34:2427-2432
33. 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
34. Wolf A, Swift JB, Swinney HL, Vastano JA (1985) Determining Lyapunov exponents from a time series. Physica D 16:285-317
35. Wolf A, Bessoir T (1991) Diagnosing chaos in the space circle. Physica D 50:239-258