COHERENCE RESONANCE INDUCED STOCHASTIC NEURAL FIRING AT A SADDLE-NODE BIFURCATION
COHERENCE RESONANCE INDUCED STOCHASTIC NEURAL FIRING AT A SADDLE-NODE BIFURCATION
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DOI：
10.1142/s0217979211101673
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发表时间：
2011-11-20
影响因子：
1.7
通讯作者：
Ren, Wei
中科院分区：
文献类型：
--
作者：
Gu, Huaguang;Zhang, Huimin;Ren, Wei
在一个理论神经元模型中模拟了鞍结分叉点处的相干共振和相应的随机放电模式。噪声诱发的神经元放电模式的特点，如指数衰减的interspike interval（ISI）系列的直方图，独立性和随机性的ISI系列。在神经起搏器的生物学实验中发现了与模拟结果相似的放电模式。给出了这种点火与在Hopf分岔点产生的整数倍点火之间的区别。研究结果不仅揭示了鞍结分岔附近的随机动力学行为，而且为神经元系统鞍结分岔的识别以及与Hopf分岔的区别提供了实用的方法。此外，许多先前观察到的放电模式可以归因于这种鞍结分叉附近的随机放电模式。
Coherence resonance at a saddle-node bifurcation point and the corresponding stochastic firing patterns are simulated in a theoretical neuronal model. The characteristics of noise-induced neural firing pattern, such as exponential decay in histogram of interspike interval (ISI) series, independence and stochasticity within ISI series are identified. Firing pattern similar to the simulated results was discovered in biological experiment on a neural pacemaker. The difference between this firing and integer multiple firing generated at a Hopf bifurcation point is also given. The results not only revealed the stochastic dynamics near a saddle-node bifurcation, but also gave practical approaches to identify the saddle-node bifurcation and to distinguish it from the Hopf bifurcation in neuronal system. In addition, many previously observed firing patterns can be attribute to stochastic firing pattern near such a saddle-node bifurcation.