Quantitative evaluation of linear and nonlinear methods characterizing interdependencies between brain signals

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 74, Issue 3, 2006, Pages

  Ansari Asl, Karim ^a   Senhadji, Lotfi ^a   Bellanger, Jean Jacques ^a   Wendling, Fabrice ^a  

^a UNIVERSITÉ DE RENNES 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BRAIN MODELS; COMPUTER SIMULATION; MATHEMATICAL MODELS; PATHOLOGY; STATISTICAL METHODS; SYNCHRONIZATION;

EPILEPSY; GENERALIZED SYNCHRONIZATION; NULL HYPOTHESIS; SIGNALS GENERATION;

NEUROPHYSIOLOGY;

EID: 33749337076     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.031916     Document Type: Article

References (41)

1. J. S. Barlow and M. A. Brazier, Electroencephalogr. Clin. Neurophysiol. ECNEAZ 0013-4649 6, 321 (1954).
2. M. A. Brazier, Electroencephalogr. Clin. Neurophysiol. ECNEAZ 0013-4649 25, 309 (1968).
3. G. Pfurtscheller and C. Andrew, J. Clin. Neuropsychol ZZZZZZ 0165-0475 16, 512 (1999).
4. J. W. Cooley and J. W. Tukey, Math. Comput. MCMPAF 0025-5718 10.2307/2003354 19, 297 (1965).
5. P. J. Franaszczuk and G. K. Bergey, Biol. Cybern. BICYAF 0340-1200 10.1007/s004220050540 81, 3 (1999).
6. S. Haykin, R. J. Racine, Y. Xu, and C. A. Chapman, Proc. IEEE IEEPAD 0018-9219 84, 1295 (1996).
7. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001).
8. N. J. Mars and F. H. Lopes da silva, Electroencephalogr. Clin. Neurophysiol. ECNEAZ 0013-4649 56, 194 (1983).
9. J. P. Pijn and F. H. Lopes da silva, in Basic Mechanisms of the Eeg, Brain Dynamics, edited by, S. Zschocke, and, E. J. Speckmann, (Birkhauser, Boston, 1993) pp. 41-61.
10. F. Wendling, F. Bartolomei, J. J. Bellanger, and P. Chauvel, Clin. Neurophysiol. ZZZZZZ 1388-2457 112, 1201 (2001).
11. L. D. Iasemidis, IEEE Trans. Biomed. Eng. IEBEAX 0018-9294 50, 549 (2003).
12. K. Lehnertz, Int. J. Psychophysiol ZZZZZZ 0167-8760 34, 45 (1999).
13. M. Rosenblum, A. Pikovsky, and J. Kurths, Fluct. Noise Lett. ZZZZZZ 0219-4775 4, L53 (2004).
14. J. Bhattacharya, Acta Neurobiol. Exp. (Warsz) ZZZZZZ 0065-1400 61, 309 (2001).
15. J. Arnhold, P. Grassberger, K. Lehnertz, and C. E. Elger, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(99)00140-2 134, 419 (1999).
16. C. J. Stam and B. W. van Dijk, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(01)00386-4 163, 236 (2002).
17. R. Quian Quiroga, A. Kraskov, T. Kreuz, and P. Grassberger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.041903 65, 041903 (2002).
18. O. David, D. Cosmelli, and K. J. Friston, Neuroimage ZZZZZZ 1053-8119 21, 659 (2004).
19. F. Mormann, T. Kreuz, C. Rieke, R. G. Andrzejak, A. Kraskov, P. David, C. E. Elger, and K. Lehnertz, Clin. Neurophysiol. ZZZZZZ 1388-2457 116, 569 (2005).
20. E. Pereda, D. M. DelaCruz, L. DeVera, and J. J. Gonzalez, IEEE Trans. Biomed. Eng. IEBEAX 0018-9294 52, 578 (2005).
21. K. Ansari-Asl, J.-J. Bellanger, F. Bartolomei, F. Wendling, and L. Senhadji, IEEE Trans. Biomed. Eng. IEBEAX 0018-9294 52, 1218 (2005).
22. A. S. Pikovsky, M. Rosenblum, and J. Kurths, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1996-00433-3 34, 165 (1996).
23. J. Bhattacharya, E. Pereda, and H. Petsche, IEEE Trans. Syst., Man, Cybern., Part B: Cybern. ITSCFI 1083-4419 vol. 33, pp. 85-95 (2003).
24. O. E. Rossler, Phys. Lett., C PRPLCM 0370-1573 57, 397 (1976).
25. M. Hénon, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608556 50, 69 (1976).
26. F. Wendling, J. J. Bellanger, F. Bartolomei, and P. Chauvel, Biol. Cybern. BICYAF 0340-1200 83, 367 (2000).
27. K. Ansari-Asl, F. Wendling, J. J. Bellanger, and L. Senhadji, Comparison of two estimators of time-frequency interdependencies between nonstationary signals: Application to epileptic EEG, 26th Annual International Conference of the Engineering in Medicine and Biology Society, San Francisco, Vol. 1, pp. 263 (2004).
28. J. S. Bendat and A. G. Piersol, Random Data: Analysis and Measurement Procedures, 3rd edition (Wiley, New York, 2000).
29. F. Lopes da Silva, J. P. Pijn, and P. Boeijinga, Brain Topogr ZZZZZZ 0896-0267 2, 9 (1989).
30. F. Wendling, F. Bartolomei, J. J. Bellanger, and P. Chauvel, Clin. Neurophysiol. ZZZZZZ 1388-2457 112, 1201 (2001).
31. J. P. Pijn, Quantitative Evaluation of EEG Signals in Epilepsy, Nonlinear Associations, Time delays and Nonlinear Dynamics (University of Amsterdam, Amsterdam, 1990).
32. M. Le Van Quyen, J. Foucher, J.-P. Lachaux, E. Rodriguez, A. Lutz, J. Martinerie, and F. J. Varela, J. Neurosci. Methods JNMEDT 0165-0270 10.1016/S0165-0270(01)00372-7 111, 83 (2001).
33. P. Tass, M. G. Rosenblum, J. Weule, J. Kurths, A. Pikovsky, J. Volkmann, A. Schnitzler, and H.-J. Freund, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3291 81, 3291 (1998).
34. F. Mormann, K. Lehnertz, P. David, and C. E. Elger, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(00)00087-7 144, 358 (2000).
35. F. Takens, Lecture Notes in Mathematics (Springer, Berlin 1981), Vol. 898, pp. 366.
36. A. M. Fraser and H. L. Swinney, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.33.1134 33, 1134 (1986).
37. L. Cao, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(97)00118-8 110, 43 (1997).
38. G. Osipov, A. Pikovsky, M. Rosenblum, and J. Kurths, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.2353 55, 2353 (1997).
39. S. J. Schiff, P. So, T. Chang, R. E. Burke, and T. Sauer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.6708 54, 6708 (1996).
40. R. Quian Quiroga, J. Arnhold, and P. Grassberger, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.5142 61, 5142 (2000).
41. M. G. Kendall, A. Stuart, J. K. Ord, S. F. Arnold, and A. O'Hagan, Kendall's Advanced Theory of Statistics, 6th ed. (Halsted Press, London, 1994).