Detecting directional coupling in the human epileptic brain: Limitations and potential pitfalls

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

Volumn 77, Issue 1, 2008, Pages

  Osterhage, Hannes ^a   Mormann, Florian ^a,b   Wagner, Tobias ^a   Lehnertz, Klaus ^a  

^a UNIVERSITY OF BONN   (Germany)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ELECTROENCEPHALOGRAPHY; MATHEMATICAL MODELS; NONLINEAR ANALYSIS;

BRAIN STRUCTURES; MODEL SYSTEMS; NONLINEAR OSCILLATORS;

DIRECTIONAL COUPLERS;

EID: 38649099359     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.011914     Document Type: Article

References (71)

1. C. Huygens, Horologium Oscillatorium (Apud F. Muguet, Parisiis, France, 1673).
2. R. L. Stratonovich, Topics in the Theory of Random Noise (Gordon and Breach, New York, 1963).
3. A. T. Winfree, The Geometry of Biological Time (Springer, New York, 1980).
4. H. Fujisaka and T. Yamada, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.69.32 69, 32 (1983).
5. Y. Kuramoto, Chemical Oscillations, Waves, and Tturbulence (Springer, New York, 1984).
6. A. Pikovsky, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01420567 55, 149 (1984).
7. V. S. Afraimovich, N. N. Verichev, and M. I. Rabinovich, Radiophys. Quantum Electron. RPQEAC 0033-8443 10.1007/BF01034476 29, 795 (1986).
8. I. I. Blekhman, Synchronization in Science and Technology (ASME Press, New York, 1988).
9. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.821 64, 821 (1990).
10. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Ssciences (Cambridge University Press, Cambridge, 2001).
11. A. S. Pikovsky, Sov. J. Commun. Technol. Electron. SJCEEH 8756-6648 30, 85 (1985).
12. J. F. Heagy, T. L. Carroll, and L. M. Pecora, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.1874 50, 1874 (1994).
13. A. K. Sood, J. Menendez, M. Cardona, and K. Ploog, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.54.2115 54, 2115 (1985).
14. L. Fabiny, P. Colet, R. Roy, and D. Lenstra, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.47.4287 47, 4287 (1993).
15. R. Roy and K. S. Thornburg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.2009 72, 2009 (1994).
16. D. Y. Tang, R. Dykstra, M. W. Hamilton, and N. R. Heckenberg, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.3649 57, 3649 (1998).
17. D. W. Peterman, M. Ye, and P. E. Wigen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.1740 74, 1740 (1995).
18. E. Rosa, Jr., W. B. Pardo, C. M. Ticos, J. A. Walkenstein, and M. Monti, Int. J. Bifurcat. Chaos 10, 2551 (2000). 0218-1274
19. T. L. Carroll and L. M. Pecora, Physica D PDNPDT 0167-2789 10.1016/0167-2789(93)90201-B 67, 126 (1993).
20. L. Kocarev and U. Parlitz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.5028 74, 5028 (1995).
21. K. Pyragas, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(92)90745-8 170, 421 (1992).
22. N. F. Rulkov, L. S. Tsimring, and H. D. I. Abarbanel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.314 50, 314 (1994).
23. C. Schäfer, M. G. Rosenblum, J. Kurths, and H.-H. Abel, Nature (London) NATUAS 0028-0836 10.1038/32567 392, 239 (1998).
24. J. Buck and E. Buck, Science SCIEAS 0036-8075 10.1126/science.159.3821. 1319 159, 1319 (1968).
25. C. J. Stam, Clin. Neurophysiol. 116, 2266 (2005). 1388-2457
26. G. Buzsaki, Rhythms of the Brain (Oxford University Press, Oxford, 2006).
27. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.4193 78, 4193 (1997).
28. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1804 76, 1804 (1996).
29. H. D. I. Abarbanel, N. F. Rulkov, and M. M. Sushchik, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.4528 53, 4528 (1996).
30. N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.980 51, 980 (1995).
31. 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).
32. J. Arnhold, P. Grassberger, K. Lehnertz, and C. E. Elger, Physica D. 134, 419 (1999). 0167-2789
33. F. Mormann, K. Lehnertz, P. David, and C. E. Elger, Physica D. 144, 358 (2000). 0167-2789
34. C. W. J. Granger, Econometrica ECMTA7 0012-9682 10.2307/1912791 37, 424 (1969).
35. J. P. Pijn, P. C. Vijn, F. H. Lopes da Silva, W. Van Ende Boas, and W. Blanes, Neurophysiol. Clin. ZZZZZZ 0987-7053 20, 1 (1990).
36. T. Schreiber, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85. 461 85, 461 (2000).
37. M. G. Rosenblum and A. S. Pikovsky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.045202 64, 045202 (R) (2001).
38. D. A. Smirnov and B. P. Bezruchko, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.046209 68, 046209 (2003).
39. D. A. Smirnov and R. G. Andrzejak, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.036207 71, 036207 (2005).
40. D. Smirnov, B. Schelter, M. Winterhalder, and J. Timmer, Chaos CHAOEH 1054-1500 10.1063/1.2430639 17, 013111 (2007).
41. M. Palus and M. Vejmelka, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.056211 75, 056211 (2007).
42. J. Waddell, R. Dzakpasu, V. Booth, B. Riley, J. Reasor, G. Poe, and M. Zochowski, J. Neurosci. Methods JNMEDT 0165-0270 10.1016/j.jneumeth.2006.12.008 162, 320 (2007).
43. T. Kiemel, K. Gormley, L. Guan, T. Williams, and A. Cohen, J. Comput. Neurosci. JCNEFR 0923-5313 10.1023/A:1025868910179 15, 233 (2003).
44. C. Allefeld and J. Kurths, Int. J. Bifurcat Chaos 14, 417 (2004). 0218-1274
45. K. J. Blinowska, R. Ku, and M. Kamiński, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.050902 70, 050902 (R) (2004).
46. M. Müller, G. Baier, A. Galka, U. Stephani, and H. Muhle, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.046116 71, 046116 (2005).
47. S. Bialonski and K. Lehnertz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.051909 74, 051909 (2006).
48. M. Müller, K. Wegner, U. Kummer, and G. Baier, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.046106 73, 046106 (2006).
49. B. Schelter, M. Winterhalder, R. Dahlhaus, J. Kurths, and J. Timmer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.208103 96, 208103 (2006).
50. M. G. Rosenblum, L. Cimponeriu, A. Bezerianos, A. Patzak, and R. Mrowka, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.041909 65, 041909 (2002).
51. B. Bezruchko, W. Ponomarenko, M. G. Rosenblum, and A. S. Pikovksy, Chaos CHAOEH 1054-1500 10.1063/1.1518425 13, 179 (2003).
52. D. Gabor, Proc. IEEE 93, 429 (1946).
53. P. Panter, Modulation, Noise, and Spectral Analysis (McGraw-Hill, New York, 1965).
54. T. Kiemel and A. Cohen, J. Comput. Neurosci. JCNEFR 0923-5313 10.1023/A:1008835011799 5, 267 (1998).
55. O. E. Rössler, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(76) 90101-8 57A, 397 (1976).
56. H. Osterhage, F. Mormann, T. Wagner, and K. Lehnertz, Int. J. Neural Syst. IJSZEG 0129-0657 10.1142/S0129065707001019 17, 139 (2007).
57. H. Daido, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1406 77, 1406 (1996).
58. F. Mormann, R. G. Andrzejak, T. Kreuz, C. Rieke, P. David, C. E. Elger, and K. Lehnertz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.021912 67, 021912 (2003).
59. F. Mormann, T. Kreuz, C. Rieke, R. G. Andrzejak, A. Kraskov, P. David, C. E. Elger, and K. Lehnertz, Clin. Neurophysiol. 116, 569 (2005). 1388-2457
60. M. Le Van Quyen, J. Soss, V. Navarro, R. Robertson, M. Chavez, M. Baulac, and J. Martinerie, Clin. Neurophysiol. 116, 559 (2005). 1388-2457
61. S. Kalitzin, D. Velis, P. Suffczynski, J. Parra, and F. Lopes da Silva, Clin. Neurophysiol. 116, 718 (2005). 1388-2457
62. 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.
63. P. J. Franaszczuk and G. K. Bergey, Brain Topogr. 11, 13 (1998). 0896-0267
64. F. Wendling, F. Bartolomei, J. J. Bellanger, and P. Chauvel, Clin. Neurophysiol. 112, 1201 (2001). 1388-2457
65. F. Bartolomei, F. Wendling, J. J. Bellanger, J. Regis, and P. Chauvel, Clin. Neurophysiol. 112, 1746 (2001). 1388-2457
66. D. A. Smirnov, M. B. Bodrov, J. L. Perez Velazquez, R. A. Wennberg, and B. P. Bezruchko, Chaos CHAOEH 1054-1500 10.1063/1.1938487 15, 024102 (2005).
67. M. Palu, V. Komàrek, Z. Hrnčìř, and K. těrbová, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.046211 63, 046211 (2001).
68. R. G. Andrzejak, A. Kraskov, H. Stögbauer, F. Mormann, and T. Kreuz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.066202 68, 066202 (2003).
69. M. Palu and A. Stefanovska, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.055201 67, 055201 (R) (2003).
70. R. Andrzejak, A. Ledberg, and G. Deco, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/1/006 8, 6 (2006).
71. L. Cimponeriu, M. G. Rosenblum, T. Fieseler, J. Dammers, M. Schiek, M. Majtanik, P. Morosan, A. Bezerianos, and P. A. Tass, Prog. Theor. Phys. Suppl. PTPSEP 0375-9687 10.1143/PTPS.150.22 150, 22 (2003).