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Taming desynchronized bursting with delays in the Macaque cortical network |
Wang Qing-Yun(王青云)a)†, Murks Aleksandrab), Perc Matjavžb), and Lu Qi-Shao(陆启韶) a) |
a Department of Dynamics and Control, Beihang University, Beijing 100191, China; b Department of Physics, Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška Cesta 160, SI-2000 Maribor, Slovenia |
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Abstract Inhibitory coupled bursting Hindmarsh-Rose neurons are considered as constitutive units of the Macaque cortical network. In the absence of information transmission delay the bursting activity is desynchronized, giving rise to spatiotemporally disordered dynamics. This paper shows that the introduction of finite delays can lead to the synchronization of bursting and thus to the emergence of coherent propagating fronts of excitation in the space-time domain. Moreover, it shows that the type of synchronous bursting is uniquely determined by the delay length, with the transitions from one type to the other occurring in a step-like manner depending on the delay. Interestingly, as the delay is tuned close to the transition points, the synchronization deteriorates, which implies the coexistence of different bursting attractors. These phenomena can be observed by different but fixed coupling strengths, thus indicating a new role for information transmission delays in realistic neuronal networks.
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Received: 20 September 2010
Revised: 25 October 2010
Accepted manuscript online:
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PACS:
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05.45.-a
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(Nonlinear dynamics and chaos)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10972001, 10702023 and 10832006). |
Cite this article:
Wang Qing-Yun(王青云), Murks Aleksandra, Perc Matjavž, and Lu Qi-Shao(陆启韶) Taming desynchronized bursting with delays in the Macaque cortical network 2011 Chin. Phys. B 20 040504
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[1] |
Pikovsky A, Rosenblum M and Kurths J 2001 Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge: Cambridge University Press)
|
[2] |
Suykens J A K and Osipov G V 2008 Chaos 18 037101
|
[3] |
Nowotny T, Huerta R and Rabinovich M I 2008 Chaos 18 037119
|
[4] |
Gray C M and Singer W 1989 Proc. Natl. Acad. Sci. USA 86 1698
|
[5] |
Bazhenov M, Stopfer M, Rabinovich M, Huerta R, Abarbanel H D I, Sejnowski T J and Laurent G 2001 Neuron 30 553
|
[6] |
Mehta M R, Lee A K and Wilson M A 2002 Nature bf417 741
|
[7] |
Lee D S 2005 Phys. Rev. E 72 026208 bibitem 8 Motter A E, Zhou C and Kurths J 2005 Europhys. Lett. 69 334
|
[9] |
Zhou C and Kurths J 2006 Phys. Rev. Lett. 96 164102
|
[10] |
Arenas A, Diaz-Guilera A and Perez-Vicente C J 2006 it Physica D 224 27
|
[11] |
Li Y L, Ma J, Zhang W and Liu Y J 2009 Chin. Phys. B 18 4598 bibitem 12 Wang Q Y, Lu Q S, Chen G R and Guo D H 2006 Phys. Lett. A 356 17
|
[13] |
Kunichika T, Tetsuya Y, Kazuyuki A and Hiroshi K 2003 Int. J. Bifur. Chaos 13 653
|
[14] |
Wang M S, Hou Z H and X H W 2006 Chin. Phys. 15 2553
|
[15] |
Belykh I, de Lange E and Hasler M 2005 Phys. Rev. Lett. 94 188101 bibitem 16 Kopell N and Ermentrout B 2004 Proc. Natl. Acad. Sci. USA 101 15482
|
[17] |
Sainz T M, Masoller C, Braun H A and Huber M T 2004 Phys. Rev. E 70 031904 bibitem 18 Maeda E, Robinson H and Kawana A 1995 J. Neurosci. 15 6834
|
[19] |
Izhikevich E M 2000 SIAM Review 43 315 bibitem 20 Batista C A S, Batista A M, de Pontes J A C, Viana R L and Lopes S R 2007 Phys. Rev. E 76 016218
|
[21] |
Wang Q Y, Lu Q S and Chen G R 2007 Physica A 374 869
|
[22] |
Wang Q Y and Lu Q S 2005 Chin. Phys. Lett. 22 543
|
[23] |
Rossoni E, Chen Y H, Ding M Z and Feng J F 2005 Phys. Rev. E 71 061904 bibitem 24 Xie X, Gong Y, Hao Y and Ma X 2010 Biophys. Chem. 146 126 bibitem 25 Ernst U, Pawelzik K and T Geisel 1995 Phys. Rev. Lett. 74 1570
|
[26] |
Wang Q Y, Duan Z S, Perc M and Chen G R 2008 EPL 83 50008
|
[27] |
Wang Q Y, Perc M, Duan Z S and Chen G R 2009 Phys. Rev. E 80 026206
|
[28] |
Liang X M, Tang M, Dhamala M and Liu Z H 2009 Phys. Rev. E 80 066202
|
[29] |
Kaiser M and Hilgetag C C 2004 Neurocomputing 58 297
|
[30] |
Kaiser M and Hilgetag C C 2006 PLoS Comput. Biol. 2 e95
|
[31] |
Hindmarsh J L and Rose R M 1984 Proc. R. Soc. Lond. B 221 87
|
[32] |
Perc M and Marhl M 2005 Phys. Rev. E 71 026229
|
[33] |
Pikovsky A S and Kurths J 1997 Phys. Rev. Lett. 78 775
|
[34] |
Izhikevich E M 2000 Int. J. Bifur. Chaos 10 1171
|
[35] |
Izhikevich E M 2006 Scholarpedia 1 1300
|
[36] |
Niebur E, Hsiao S S and Johnson K O 2002 Curr. Opin. Neurobiol. 12 190
|
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