Investigation of the dynamics underlying periodic complexes in the EEG

Biological Cybernetics

Volumn 80, Issue 1, 1999, Pages 57-69

  Stam, C J ^a   Vliegen, J H R ^a   Nicolai, J ^a  

^a LEYENBURG HOSPITAL   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ACUTE DISEASE; ARTICLE; BIOLOGICAL MODEL; BRAIN CORTEX; BRAIN DISEASE; CYBERNETICS; ELECTROENCEPHALOGRAPHY; FEEDBACK SYSTEM; FEMALE; HUMAN; MALE; NERVE CELL NETWORK; NONLINEAR SYSTEM; PATHOPHYSIOLOGY; PERIODICITY; STATISTICS;

ACUTE DISEASE; BRAIN DISEASES; CEREBRAL CORTEX; CYBERNETICS; ELECTROENCEPHALOGRAPHY; FEEDBACK; FEMALE; HUMANS; MALE; MODELS, NEUROLOGICAL; NERVE NET; NONLINEAR DYNAMICS; PERIODICITY;

EID: 0032616307     PISSN: 03401200     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004220050504     Document Type: Article

References (45)

1. Babloyantz A, Destexhe A (1986) Low-dimensional chaos in an instance of epilepsy. Proc Natl Acad Sci USA 83:3513-3517
2. Babloyantz A, Destexhe A (1987) The Creutzfeldt-Jakob disease in the hierarchy of chaotic attractors. In: Muller S, Nicolis G (eds) From chemical to biological organization. Springer, Berlin Heidelberg New York, pp 39:307-318
3. Brenner RP, Schaul N (1990) Periodic EEG patterns: classification, clinical correlation and pathophysiology. J Clin Neurophysiol 7:249-267
4. Casdagli MC, Iasemidis LD, Savit RS, Gimore RL, Roper SN, Sackellares JCh (1997) Non-linearity in invasive EEG recordings from patients with temporal lobe epilepsy. Electroenceph Clin Neurophysiol 102:98-105
5. Cobb WA, Hill D (1950) Electroencephalogram in subacute progressive encephalitis. Brain 73:392-404
6. Diks C (1996) On nonlinear time series analysis: spatio-temporal complexity and noise. PhD thesis, Leiden
7. Elbert Th, Ray WJ, Kowalik ZJ, Skinner JE, Birbaumer N (1994) Chaos and physiology: deterministic chaos in excitable cell assemblies. Physiol Rev 74:1-47
8. Ellner S, Turchin P (1995) Chaos in a noisy world: new methods and evidence from time-series analysis. Am Natur 145:343-375
9. 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
10. Gloor P, Kalaby O, Giard N (1968) The electroencephalogram in diffuse encephalopathies: electroencephalographic correlates of gray and white matter lesions. Brain 91:779-802
11. Grassberger P, Procaccia I (1983) Measuring the strangeness of strange attractors. Physica D 9:189-208
12. Heyden MJ van der, Diks C, Pijn JPM, Velis DN (1996) Time irreversibility of intracranial human EEG recordings in mesial temporal lobe epilepsy. Phys Letters A 216:283-288
13. Kantz H, Schreiber Th (1997) Nonlinear time series analysis. Cambridge University Press, Cambridge
14. Kaplan DT, Glass L (1995) Understanding nonlinear dynamics. Springer, New York Berlin Heidelberg
15. Kennel M, Brown R, Abarbanel H (1992) Determining embedding dimension for phase space reconstruction using a geometrical reconstruction. Phys Rev A 45:3403-3411
16. Kirkwood BR (1988) Essentials of medical statistics. Blackwell, Oxford
17. Lopes da Silva FH, Hoeks A, Smits A, Zetterberg LH (1974) Model of brain rhythmic activity. Kybernetik 15:27-37
18. Neufeld MY, Vishnevskaya S, Treves TA, Reider I, Karepov V, Bornstein NM, Korczyn AD (1997) Periodic lateralized epileptiform discharges (PLEDs) following stroke are associated with metabolic abnormalities. Electroencephalogr Clin Neurophysiol 102:295-299
19. Osborne AR, Provenzale A (1989) Finite correlation dimension for stochastic systems with power-law spectra. Physica D 35:357-381
20. Packard N, Crutchfield J, Farmer D, Shaw R (1980) Geometry from a time series. Phys Rev Lett 45:712-715
21. Palus M (1996) Nonlinearity in normal human EEG: cycles, temporal asymmetry, nonstationarity and randomness, not chaos. Biol Cybern 75:389-396
22. Pijn JPM, Neerven J van, 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
23. Pijn JPM, Velis DN, Heyden M van der, DeGoede J, Veelen WM van, Lopes da Silva FH (1997) Nonlinear dynamics of epileptic seizures on basis of intracranial EEG recordings. Brain Topogr 9:1-22
24. Pohlmann-Eden B, Hoch DB, Cochius JI, Chiappa KH (1996) Periodic lateralized epileptiform discharges-a critical review. J Clin Neurophysiol 13:519-530
25. Pritchard WS, Duke DW (1992) Measuring chaos in the brain: a tutorial review of nonlinear dynamical EEG analysis. Int J Neurosci 67:31-80
26. 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
27. Rapp PE (1993) Chaos in the neurosciences: cautionary tales from the frontier. Biologist 40:89-94
28. Rapp PE, Albano AM, Schmah TI, Farwell LA (1993) Filtered noise can mimic low-dimensional chaotic attractors. Phys Rev E 47:2289-2297
29. Rombouts SARB, Keunen RWM, Stam CJ (1995) Investigation of nonlinear structure in multichannel EEG. Phys Lett A 202:352-358
30. Rosenstein MT, Collins JJ, De Luca CJ (1993) A practical method for calculating largest Lyapunov exponents from small data sets. Physica D 65:117-134.
31. 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
32. Schouten J, Takens F, Bleek C van den (1994) Maximum-likelihood estimation of the entropy of an attractor. Phys Rev E 49:126-129
33. Schuuring D (1988) Modelling and simulation of epileptic activity (in Dutch). Masters thesis, Rapport 080 DV-8807, communicatietechniek, Informatie en Systeemtheorie, technische Universiteit Twente
34. Stam CJ, Woerkom TCAM van, Keunen RWM (1997) Non-linear analysis of the electroencephalogram in Creutzfeldt-Jakob disease. Biol Cybern 77:247-256
35. Stam CJ, Nicolai J, Keunen RWM (1998a) Nonlinear dynamical analysis of periodic lateralized epileptiform discharges. Clin Electroencephalogr 29:1-5
36. Stam CJ, Pijn JPM, Pritchard WS (1998b) Reliable detection of non-linearity in experimental time series with strong periodic components. Physica D 112:361-380
37. Storm van Leeuwen W (1964) Electroencephalographical and neurophysiological aspects of subacute sclerosing encephalitis. Psychol Neurol Neurosurg 67:312-322
38. Takens F (1981) Detecting strange attractors in turbulence. Lect Notes Math 898:366-381
39. Theiler J (1986) Spurious dimension from correlation algorithms applied to limited time-series data. Phys Rev A 34:2427-2432
40. Theiler J (1995) On the evidence for low-dimensional chaos in an epileptic electroencephalogram. Phys Lett A 196:335-341
41. Theiler J, Rapp PE (1996) Re-examination of the evidence for low-dimensional, nonlinear structure in the human electroencephalogram. Electroencephalogr Clin Neurophysiol 98:213-222
42. 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
43. Theiler J, Linsay PS, Rubin DM (1993) Detecting nonlinearity in data with long coherence times. Time series prediction: forecasting the future and understanding the past. In: Weigend AS, Gershenfeld NA (eds) SFI Studies in the sciences of complexity. Proc. Vol. XV. Addison-Wesley, pp 429-455
44. Wilson HR, Cowan J.D (1972) Excitatory and inhibitory interactions in localized populations of model neurons. Biophys J 12:1-24
45. Zetterberg LH, Kristiansson L, Mossberg K (1978) Performance of a model for a local neuron population. Biol Cybern 31:15-26