Delay-enhanced coherence of spiral waves in noisy Hodgkin-Huxley neuronal networks

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 372, Issue 35, 2008, Pages 5681-5687

  Wang, Qingyun ^a,b   Perc, Matjaž ^c   Duan, Zhisheng ^a   Chen, Guanrong ^a,d  

^a Peking University   (China)

^b INNER MONGOLIA UNIVERSITY OF FINANCE AND ECONOMICS   (China)

^c UNIVERSITY OF MARIBOR   (Slovenia)

^d CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Coherence resonance; Delay; Neuronal networks; Spiral wave

Indexed keywords

DATA COMMUNICATION SYSTEMS; NEURONS; TOPOLOGY;

COHERENCE RESONANCE; DELAY; ENHANCED COHERENCE; INFORMATION TRANSMISSION DELAYS; NEURONAL NETWORKS; NOISE INTENSITIES; SPIRAL WAVES; TRANSMISSION DELAYS;

NEURAL NETWORKS;

EID: 48449088106     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2008.07.005     Document Type: Article

References (64)

1. Zaikin A.N., and Zhabotinsky A.M. Nature (London) 255 (1970) 535
2. Winfree A.T. Science 175 (1972) 634
3. Lee K.J., Cox E.C., and Goldstein R.E. Phys. Rev. Lett. 76 (1996) 1174
4. Bursac N., Aguel F., and Tung L. Proc. Natl. Acad. Sci. USA 101 (2004) 15530
5. Hwang S.-M., Yea K.-H., and Lee K.J. Phys. Rev. Lett. 92 (2004) 198103
6. Bär M., Hildebrand M., Eiswirth M., Falcke M., Engel H., and Neufeld M. Chaos 4 (1994) 499
7. Tobias S.M., and Knobloch E. Phys. Rev. Lett. 80 (1998) 4811
8. Ouyang Q., Swinney H.L., and Li G. Phys. Rev. Lett. 84 (2000) 1047
9. Xie F.G., Xie D.Z., and Weiss J.N. Phys. Rev. E 74 (2006) 026107
10. Kanakov O.I., Osipov G.V., Chan C.-K., and Kurths J. Chaos 17 (2007) 015111
11. Weiss J.N., Karagueuzian H.S., Qu Z.L., and Chen P.S. Circulation 99 (1999) 2819
12. Schiff S.J., Sauer T., Kumar R., and Weinstein S.L. NeuroImage 28 (2005) 1043
13. Horsthemke W., and Lefever R. Noise-Induced Transitions (1984), Springer, Berlin
14. Häggi P., and Bartussek R. In: Parisi J., Müler S.C., and Zimmermman W. (Eds). Nonlinear Physics of Complex Systems (1999), Springer, New York
15. Benzi R., Sutera A., and Vulpiani A. J. Phys. A 14 (1981) L453
16. Nicolis C., and Nicolis G. Tellus 33 (1981) 225
17. Neiman A., and Sung W. Phys. Lett. A 223 (1996) 341
18. Lee S.G., and Kim S. Phys. Rev. E 60 (1999) 826
19. Martínez L., Pérez T., Mirasso C.R., and Manjarrez E. J. Neurophysiol. 97 (2007) 4007
20. Manjarrez E., Mendez I., Martínez L., Flores A., and Mirasso C.R. Neurosci. Lett. 415 (2007) 231
21. Jung P. Phys. Rep. 234 (1993) 175
22. Gammaitoni L., Hänggi P., Jung P., and Marchesoni F. Rev. Mod. Phys. 70 (1998) 223
23. Pikovsky A.S., and Kurths J. Phys. Rev. Lett. 78 (1997) 775
24. Zhong S., and Xin H.W. Chem. Phys. Lett. 333 (2001) 133
25. Mato G. Phys. Rev. E 59 (1999) 3339
26. Chacron M.J., Lindner B., and Longtin A. Phys. Rev. Lett. 92 (2004) 080601
27. Doiron B., Lindner B., Longtin A., Maler L., and Bastian J. Phys. Rev. Lett. 93 (2004) 048101
28. Zhu L., Lai Y.-C., Liu Z., and Raghu A. Phys. Rev. E 66 (2002) 015204
29. Pikovsky A., Zaikin A., and de la Casa M.A. Phys. Rev. Lett. 88 (2002) 050601
30. von Haeften B., Izús G., and Wio H.S. Phys. Rev. E 72 (2005) 021101
31. Tessone C.J., Mirasso C.R., Toral R., and Gunton J.D. Phys. Rev. Lett. 97 (2006) 194101
32. Zhou C., and Kurths J. Phys. Rev. E 65 (2002) 040101
33. Zhou C.S., and Kurths J. Chaos 13 (2003) 401
34. Zhou C.S., Kurths J., Allaria E., Boccaletti S., Meucci R., and Arecchi F.T. Phys. Rev. E 67 (2003) 015205
35. Zhou C.S., Kurths J., and Hu B. Phys. Rev. Lett. 87 (2001) 098101
36. Kwon O., and Moon H.-T. Phys. Lett. A 298 (2002) 319
37. Roxin A., Riecke H., and Solla S.A. Phys. Rev. Lett. 92 (2004) 198101
38. Gao Z., Hu B., and Hu G. Phys. Rev. E 65 (2001) 016209
39. Jung P., and Mayer-Kress G. Phys. Rev. Lett. 74 (1995) 2130
40. Carrillo O., Santos M.A., García-Ojalvo J., and Sancho J.M. Europhys. Lett. 65 (2004) 452
41. Perc M. Phys. Rev. E 72 (2005) 016207
42. Wang Q.Y., Lu Q.S., and Chen G.R. Eur. Phys. J. B 12 (2006) 255
43. García-Ojalvo J., and Sancho J.M. Noise in Spatially Extended Systems (1999), Springer, New York
44. Wang J. Chem. Phys. Lett. 339 (2001) 357
45. Wio H.S., Bouzat S., and von Haeften B. in: Proceedings of the 21st IUPAP International Conference on Statistical Physics, STATPHYS21, A. Robledo, M. Barbosa (Eds.). Physica A 306 (2002) 140
46. Ullner E., Zaikin A.A., García-Ojalvo J., and Kurths J. Phys. Rev. Lett. 91 (2003) 180601
47. Roussel M.R., and Wang J. J. Chem. Phys. 120 (2004) 8079
48. Zhou C.S., and Kurths J. New J. Phys. 7 (2005) 18
49. Nekhamkina O., and Sheintuch M. Phys. Rev. E 75 (2007) 056210
50. Wio H.S., and Deza R.R. Eur. Phys. J. Special Topics 146 (2007) 111
51. Sethia G.C., Kurths J., and Sen A. Phys. Lett. A 364 (2007) 227
52. Lindner B., Doiron B., and Longtin A. Phys. Rev. E 72 (2005) 061919
53. Zhu R., and Li Q.S. Phys. Lett. A 292 (2001) 58
54. Kanamaru T., and Okabe Y. Biosystems 58 (2000) 101
55. Kandel E.R., Schwartz J.H., and Jessell T.M. Principles of Neural Science (1991), Elsevier, Amsterdam
56. Roxin A., Brunel N., and Hansel D. Phys. Rev. Lett. 94 (2005) 238103
57. Wang Q.Y., and Lu Q.S. Chin. Phys. Lett. 3 (2005) 543
58. Rossoni E., Chen Y.H., Ding M.Z., and Feng J.F. Phys. Rev. E 71 (2005) 061904
59. Hodgkin A.L., and Huxley A.F. J. Physiol. 117 (1952) 500
60. Watts D.J., and Strogatz S.H. Nature (London) 393 (1998) 440
61. Szabó G., Szolnoki A., and Izsák R. J. Phys. A: Math. Gen. 37 (2004) 2599
62. Wang S.T., Liu F., Wang W., and Yu Y.G. Phys. Rev. E 69 (2004) 011909
63. Ma J., Ying H.P., and Pu Z.S. Chin. Phys. Lett. 22 (2005) 1065
64. Sainz T.M., Masoller C., Braun H.A., and Huber M.T. Phys. Rev. E 70 (2004) 031904