Non-linear analysis of the electroencephalogram in Creutzfeldt-Jakob disease

Biological Cybernetics

Volumn 77, Issue 4, 1997, Pages 247-256

  Stam, C J ^a   Van Woerkom, T C A M ^a   Keunen, R W M ^a  

^a LEYENBURG HOSPITAL   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CASE REPORT; CREUTZFELDT JAKOB DISEASE; ELECTROENCEPHALOGRAPHY; FEMALE; FOURIER ANALYSIS; HUMAN; MIDDLE AGED; NERVE CELL NETWORK; PATHOPHYSIOLOGY;

CREUTZFELDT-JAKOB SYNDROME; ELECTROENCEPHALOGRAPHY; FEMALE; FOURIER ANALYSIS; HUMANS; MIDDLE AGED; NERVE NET;

EID: 0031252861     PISSN: 03401200     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004220050385     Document Type: Article

References (46)

1. Achermann P, Hanmann R, Gunzinger A, Guggenbühl W, Borbély AA (1994) All-night sleep EEG and artificial stochastic control signals have similar correlation dimensions. Electroenceph Clin Neurophysiol 90: 384-387
2. Babloyantz A, Destexhe A (1986) Low-dimensional chaos in an instance of epilepsy. Proc Natl Acad Sci USA 83: 3513-3517
3. Babloyantz A, Destexhe A (1988a) The Creutzfeldt-Jakob Disease in the hierarchy of chaotic attractors. In: Marcus M, Muller S, Nicolis G (eds) From chemical to biological organization. Springer, Berlin Heidelberg New York, pp 307-316
4. Babloyantz A, Destexhe A (1988b) Strange attractors in the human cortex. In: Rensing L, van der Heiden U, Mackay MC (eds) Temporal disorder in human oscillatory systems. Springer, Berlin Heidelberg New York, pp 48-56
5. Babloyantz A, Salazar JM, Nicolis C (1985) Evidence of chaotic dynamics of brain activity during the sleep cycle. Phys Lett 111A: 152-156
6. Besthorn C, Sattel H, Geiger-Kabisch C, Zerfass R, Förstl H (1995) Parameters of EEG dimensional complexity in Alzheimer's disease. Electroenceph Clin Neurophysiol 95: 84-89
7. Dvorak I, Siska J, Wackermann J, Hrudova L, Dostalek C (1986) Evidence for interpretation of the EEG as a deterministic chaotic process with a low dimension. Activ Nerv Sup 28: 228-231
8. 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 9: 139-146
9. Fell J, Roschke J, Schaffner C (1996) Surrogate data analysis of sleep electroencephalograms reveals evidence for nonlinearity. Biol Cybern 75: 85-92
10. Frank GW, Lookman T, Nerenberg MAH, Essex C, Lemieux J, Blume W (1990) Chaotic time series analysis of epileptic seizures. Physica D 46: 427-438
11. Glass L, Kaplan DT, Lewis JE (1993) Tests for deterministic dynamics in real and model neural networks. In: Jansen BH, Brandt ME (eds) Proceedings of the second annual conference on nonlinear dynamical analysis of the EEC. World Scientific, Singapore, pp 233-249
12. Grassberger P, Procaccia I (1983) Measuring the strangeness of strange attractors. Physica D 9: 189-208
13. Iasemidis LD, Sackellares JC (1991) The evolution with time of the spatial distribution of the largest Lyapuov exponent on the human epileptic cortex. In: Duke DW, Pritchard WS (eds) Proceedings of the conference on measuring chaos in the human brain. World Scientific, Singapore, pp 49-82
14. Kaplan DT (1994) Exceptional events as evidence for determinism. Physica D 73: 38-48
15. Kaplan DT, Glass L (1995) Understanding nonlinear dynamics. Springer, Berlin Heidelberg New York
16. Kennel M, Brown R, Abarbanel H (1992) Determining embedding dimension for phase space reconstruction using a geometrical reconstruction. Phys Rev A 45: 3403-3411
17. Lopes da Silva FH, Pijn JP, Wadman WJ (1994) Dynamics of local neuronal networks: control parameters and state bifurcations in epileptogenesis. In Pelt J van, Corner MA, Uylings HBM, Lopes da Silva FH (eds) Progress in Brain Research, Vol 102, chapter 24. Elsevier Amsterdam
18. Lorenz EN (1963) Deterministic nonperiodic flow. J Atmos Sci 20: 130-141
19. Lutzenberger W, Elbert T, Birbaumer N, Ray WJ, Schupp H (1992) The scalp distribution of the fractal dimension of the EEG and its variation with mental tasks. Brain Topography 5: 27-34
20. Müller-Gerking J, Martinerie J, Neuenschwander S, Pezard L, Renault B, Varela FJ (1996) Detecting non-linearities in neuro-electric signals: a study of synchronous local field potentials. Physica D 94: 65-91
21. Nan X, Jinghua X (1988) The fractal dimension of EEG as a physical measure of conscious human brain activities. Bull Math Biol 50: 559-565
22. Nandrino JL, Pezard L, Martinerie J, Massioui FE, Renault B, Jouvent R, Allilaire JF, Wildlöcher D (1994) Decrease of complexity in EEG as a symptom of depression. NeuroReport 5: 528-530
23. Osborne AR, Provenzale A (1989) Finite correlation dimension for stochastic systems with power-law spectra. Physica D 35: 357-381
24. Packard N, Crutchfield J, Farmer D, Shaw R (1980) Geometry from a time series. Phys Rev Lett 45: 712-715
25. Palus M (1993) Testing for nonlinearity in the EEG. In: Jansen BH, Brandt ME (eds) Proceedings of the second annual conference on nonlinear dynamical analysis of the EEG. World Scientific, Singapore, pp 100-114
26. Pezard L, Martinerie J, Breton F, Bourzeix JC, Renault B (1994) Non-linear forecasting measurements of multichannel EEG dynamics. Electroenceph Clin Neurophysiol 91: 383-391
27. Pijn JPM (1990) Quantitative evaluation of EEG signals in epilepsy: nonlinear association time delays and nonlinear dynamics. Ph.D. thesis, University of Amsterdam
28. Pijn JPM, Neerven J van, Noest A, Lopes da Silva FH (1991) Chaos or noise in EEG signals; dependence on state and brain site. Electroenceph Clin Neurophysiol 79: 371-381
29. Pritchard WS, Duke DW (1992) Measuring chaos in the brain: a tutorial review of nonlinear dynamical EEG analysis. Int J Neurosci 67: 31-80
30. 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: 486-491
31. Rapp PE (1993) Chaos in the neurosciences: cautionary tales from the frontier. Biologist 40: 89-94
32. Rapp PE, Bashore TR, Martinerie JM, Albano AM, Zimmerman ID, Mees AI (1989) Dynamics of brain electrical activity. Brain Topography 2: 99-118
33. Rapp PE, Albano AM, Schmah TI, Farwell LA (1993) Filtered noise can mimic low-dimensional chaotic attractors. Phys Rev E 47: 2289-2297
34. Rapp PE, Albano AM, Zimmerman ID, Jimenez-Montano MA (1994) Phase-randomized surrogates can produce spurious identifications of non-random structure. Phys Lett A 192: 27-33
35. Rombouts SARB, Keunen RWM, Stam CJ (1995) Investigation of nonlinear structure in multichannel EEG. Phys Lett A 202: 352-358
36. Rosenstein MT, Collins JJ, De Luca CJ (1994) Reconstruction expansion as a geometry-based framework for choosing proper delay times. Physica D 73: 82-98
37. Sauer T, Yorke JA, Casdagli M (1991) Embedology. J Stat Phys 65: 579-616
38. Stam CJ, Tavy DLJ, Jelles B, Achtereekte HAM, Slaets JPJ, Keunen RWM (1994) Non-linear dynamical analysis of multi channel EEG data: clinical applications in dementia and Parkinson's disease. Brain Topography 7: 141-150
39. Stam CJ, Jelles B, Achtereekte HAM, Rombouts SARB, Slaets JPJ, Keunen RWM (1995) Investigation of EEG non-linearity in dementia and Parkinson's disease. Electroenceph Clin Neurophysiol 95: 309-317
40. Sugihara G, May RM (1990) Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series. Nature 344: 734-740
41. Takens F (1981) Detecting strange attractors in turbulence. Lecture Notes in Mathematics 898: 366-381
42. Theiler J, Eubank S, Longtin A, Galdrikian B, Farmer JD (1992a) Testing for nonlinearity in time series: the method of surrogate data. Physica D 58: 77-94
43. Theiler J, Galdrikian B, Longtin A, Eubank S, Farmer JD (1992b) Using surrogate data to detect nonlinearity in time series. In: Casdagli M, Eubank S (eds) Nonlinear modeling and forecasting (SFI Studies in the Sciences of Complexity, Proc. Vol. XII) Addison-Wesley, New York, pp 163-188
44. Theiler J (1995) On the evidence for low-dimensional chaos in an epileptic electroencephalogram. Phys Lett A 196: 335-341
45. Varghese L, Nampoori VPN, Pratap R (1987) Nonlinear analysis of an electroencephalogram (EEG) during epileptic seizure. Curr Sci 56: 1039-1041
46. Wallenstein GV, Scott Kelso JA, Bressler SL (1995) Phase transitions in spatiotemporal patterns of brain activity and behavior. Physica D 84: 626-634