Synchronization of the minimal models of bursting neurons coupled by delayed chemical or electrical synapses

doi:10.1088/1674-1056/21/1/010203

中国物理B ›› 2012, Vol. 21 ›› Issue (1): 10203-010203.doi: 10.1088/1674-1056/21/1/010203

Synchronization of the minimal models of bursting neurons coupled by delayed chemical or electrical synapses

Nebojv sa Vasović¹, Ines Grozdanović¹, Kristina Todorović², Nikola Burić³

(1)Department of Applied Mathematics, Faculty of Mining and Geology, Belgrade 162, Serbia; (2)Department of Physics and Mathematics, Faculty of Pharmacy, University of Belgrade, Vojvode Stepe 450, Belgrade, Serbia; (3)Institute of Physics, University of Beograd PO Box 68, 11080 Beograd-Zemun, Serbia

收稿日期:2011-07-13 修回日期:2011-08-15 出版日期:2012-01-15 发布日期:2012-01-20
基金资助:
Project supported by the Serbian Ministry of Science (Grant Nos. 171017 and 174010).

Synchronization of the minimal models of bursting neurons coupled by delayed chemical or electrical synapses

Nebojša Vasović^a), Nikola Burić^b)†, Kristina Todorović^c), and Ines Grozdanović^a)

^a Department of Applied Mathematics, Faculty of Mining and Geology, Belgrade 162, Serbia; ^b Institute of Physics, University of Beograd PO Box 68, 11080 Beograd-Zemun, Serbia; ^c Department of Physics and Mathematics, Faculty of Pharmacy, University of Belgrade, Vojvode Stepe 450, Belgrade, Serbia

Received:2011-07-13 Revised:2011-08-15 Online:2012-01-15 Published:2012-01-20
Supported by:
Project supported by the Serbian Ministry of Science (Grant Nos. 171017 and 174010).

摘要/Abstract

摘要： The minimal two-dimensional model of bursting neuronal dynamics is used to study the influence of time-delay on the properties of synchronization of bursting neurons. Generic properties of bursting and dependence of the stability of synchronization on the time-lag and the strength of coupling are described, and compared with the two common types of synaptical coupling, i.e., time-delayed chemical and electrical synapses.

关键词: neuronal nursting, minimal model, synchronization

Abstract: The minimal two-dimensional model of bursting neuronal dynamics is used to study the influence of time-delay on the properties of synchronization of bursting neurons. Generic properties of bursting and dependence of the stability of synchronization on the time-lag and the strength of coupling are described, and compared with the two common types of synaptical coupling, i.e., time-delayed chemical and electrical synapses.

Key words: neuronal nursting, minimal model, synchronization

中图分类号: (Delay and functional equations)

02.30.Ks

05.45.Xt (Synchronization; coupled oscillators)

Nebojv sa Vasović, Nikola Burić, Kristina Todorović, Ines Grozdanović. Synchronization of the minimal models of bursting neurons coupled by delayed chemical or electrical synapses[J]. 中国物理B, 2012, 21(1): 10203-010203.

Nebojša Vasović, Nikola Burić, Kristina Todorović, and Ines Grozdanović . Synchronization of the minimal models of bursting neurons coupled by delayed chemical or electrical synapses[J]. Chin. Phys. B, 2012, 21(1): 10203-010203.

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Synchronization of the minimal models of bursting neurons coupled by delayed chemical or electrical synapses

Synchronization of the minimal models of bursting neurons coupled by delayed chemical or electrical synapses

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