EEG spike and wave modelled by a stochastic limit cycle

NeuroReport

Volumn 7, Issue 13, 1996, Pages 2246-2250

  Hernández, José L ^a   Valdés, Pedro A ^a   Vila, Pedro ^a  

^a CUBAN NEUROSCIENCE CENTER   (Cuba)

Author keywords

Chaos; Limit cycle; Non linear autoregression; Non linear dynamical systems; Spike and wave

Indexed keywords

ARTICLE; CLINICAL ARTICLE; CONTROLLED STUDY; ELECTROENCEPHALOGRAM; EPILEPSY; HUMAN; MATHEMATICAL MODEL; NONLINEAR SYSTEM; PRIORITY JOURNAL;

ANIMALS; ELECTROENCEPHALOGRAPHY; HUMANS; MODELS, NEUROLOGICAL; REGRESSION ANALYSIS; STATISTICS, NONPARAMETRIC; STOCHASTIC PROCESSES; TIME FACTORS;

EID: 0029852605     PISSN: 09594965     EISSN: None     Source Type: Journal    
DOI: 10.1097/00001756-199609020-00037     Document Type: Article

References (27)

1. Babloyantz A and Destexhe A. Proc Natl Acad Sci USA 83, 3513-3517 (1986).
2. Frank GW, Lookman T, Nerenberg MAH et al. Physica D 46, 427-431 (1990).
3. Arbib MA, ed. The Handbook of Brain Theory and Neural Networks. Cambridge, MIT Press, 1995.
4. Jansen BH. Int J Biomed Comput 27, 95-123 (1991).
5. Pijn JPM. Quantitative Evaluation of EEG signals in Epilepsy. Amsterdam: Atlants, 1990.
6. Theiler J. Phys Lett A 196, 335-341 (1995).
7. Diacons P and Efron B. Sci Am 248, 96-108 (1983)
8. Achermann P, Hartman R and Gunzinger A. EEG Clin Neurophysiol 90, 384-389 (1994).
9. Fuchs A, Kelso JA and Haken H. Int J Bifurcation Chaos 2, 917-939 (1992).
10. Ozaki T Identification of nonlinearities and non gaussianities in time series. In: Brillinger et al, eds. New directions in Time Series Analysis. Part I. Berlin: Springer, 1992: 301-340.
11. Antelo J, Diaz-Comas L, Pascual R et al. Digital Electroencephalograph Medicid-03M. Havana: Neuronic, 1989.
12. Valdés P, Hernández JL, Biscay R et al. Electroencephalogr Clin Neurophysiol 87, S135 (1993).
13. Hernández JL, Biscay R, Jiménez JC et al. Int J Biomed 38, 121-129 (1995).
14. Hernández JL, Valdés JL, Biscay R et al. Int J Biomed Comput 38, 197-206 (1995).
15. Auestad B and Tjostheim D. Biometrika 77, 669-688 (1990).
16. Tong H. Non-Linear Time Series: A ADynamical System Approach. Oxford: Oxford University Press, 1990.
17. Cheng G and Tong H. Phil Trans R Soc Lond A 348, 325-341 (1994).
18. Grossberger P and Procaccia I. Physica D 9, 189-197 (1983).
19. Paulus M. Santa Fe Institute Working Papers 94, 10-054 (1994).
20. Steriade M, McCormick DA and Sejnowski TJ. Science 262, 679-685 (1994).
21. Wang XJ. Neuroscience 59, 21-31.
22. Wallenstein GV. NeuroReport 5, 1409-1412 (1994)
23. Golomb D, Wang XJ and Rinzel. J Neurophysiol 72, 1109-1126.
24. Freeman WJ. On the problem of anomalous dispersion in chaoto-chaotic phase transitions in neural masses, and its signification for the management of perceptual information in brains. In: Haken H and Stadler M, eds. Synergetics of cognition. Berlin, Springer, 1990.
25. Lopes da Silva FH, Joeks A and Zetterberg. Kybernetik 15, 27-37 (1974).
26. Zetterberg LH, Kristiansson L and Mossberg K. Biol Cybern 831, 15-26 (1978).
27. Borisyuk RM and Krylov AB. Biol Cybern 66, 319-325 (1992).