中国物理B ›› 2011, Vol. 20 ›› Issue (4): 40504-040504.doi: 10.1088/1674-1056/20/4/040504

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Taming desynchronized bursting with delays in the Macaque cortical network

王青云1, 陆启韶1, Murks Aleksandra2, Perc Matjaž2   

  1. (1)Department of Dynamics and Control, Beihang University, Beijing 100191, China; (2)Department of Physics, Faculty of Natural Sciences and Mathematics, University of Maribor, Koro?ka Cesta 160, SI-2000 Maribor, Slovenia
  • 收稿日期:2010-09-20 修回日期:2010-10-25 出版日期:2011-04-15 发布日期:2011-04-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10972001, 10702023 and 10832006).

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)   

  1. 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
  • Received:2010-09-20 Revised:2010-10-25 Online:2011-04-15 Published:2011-04-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10972001, 10702023 and 10832006).

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摘要： 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.

关键词: synchronization, bursting, information transmission delay, Macaque cortical network, inhibitory coupling

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.

Key words: synchronization, bursting, information transmission delay, Macaque cortical network, inhibitory coupling

中图分类号:  (Nonlinear dynamics and chaos)

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