Effect of an autapse on the firing pattern transition in a bursting neuron

Effect of an autapse on the firing pattern transition in a bursting neuron
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自动启动对爆发神经元放电模式转变的影响

DOI:
10.1016/j.cnsns.2014.02.018
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发表时间:
2014-09
影响因子:
3.9
通讯作者:
Chen, Yong
Chen, Yong
中科院分区:
数学2区
文献类型:
--
作者:
Wang, Hengtong;Ma, Jun;Chen, Yueling;Chen, Yong

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本文在Hindmarsh-Rose(HR)神经元模型的基础上,详细研究了三种类型的自适应诱发的电活动动力学和放电模式的转换。通过施加具有特定时间延迟和自适应强度的反馈项来检测自适应的动态效应。我们发现,延迟autaptic反馈连接切换的HR神经元之间的静态,周期性和混乱的放电模式的电活动。在电自适应的情况下,从周期性到混沌状态的转变取决于特定的自适应强度和时间延迟。兴奋性化学自映射对混沌态的产生和增强起着积极的作用。在抑制性化学自连接的情况下,在适当的自适应强度下,时间延迟可以降低和抑制混沌状态。研究了系统的分岔图随时间延迟和自适应强度的变化,并计算了系统的膜电位时间序列和信息熵分布,证实了分岔分析的正确性。
On the basis of the Hindmarsh–Rose (HR) neuron model, the dynamics of electrical activity and the transition of firing patterns induced by three types of autapses have been investigated in detail. The dynamic effect of an autapse is detected by imposing a feedback term with a specific time-delay and autaptic intensity. We found that the delayed autaptic feedback connection switches the electrical activities of the HR neuron among quiescent, periodic and chaotic firing patterns. In the case of an electrical autapse, the transition from a periodic to a chaotic state occurs depending on the specific autaptic intensity and the time-delay. The excitatory chemical autapse plays a positive role in generating and enhancing the chaotic state. A time delay could decrease and suppress the chaotic state in the case of inhibitory chemical self-connections with a proper autaptic intensity. The bifurcation diagram vs. time-delay and autaptic intensity has been extensively studied, and the time series of membrane potentials and the distribution of information entropy have also been calculated to confirm the bifurcation analysis.
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期刊: Physical review. E, Statistical, nonlinear, and soft matter physics
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