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计算机模拟神经模型中的随机共振与相干共振

Stochastic and coherence resonance in an in silico neural model.

作者信息

Chiu Alan W L, Bardakjian Berj L

机构信息

Institute of Biomaterials and Biomedical Engineering, Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, Canada.

出版信息

Ann Biomed Eng. 2004 May;32(5):732-43. doi: 10.1023/b:abme.0000030238.50895.f0.

Abstract

We show that it is possible for chaotic systems to display the main features of stochastic and coherence resonance. In particular, a model of coupled nonlinear oscillators which emulates the transmembrane voltage activities in CA3 neurons, operating in a chaotic regime and in the presence of noise, can exhibit coherence resonance and stochastic resonance. Certain firing frequencies become more "rhythmic" for some optimal values of noise intensity. The effect of noise in different coupling pathways is investigated. We found that the effect of coherence resonance and stochastic resonance are more prominent if noise is presented in either electric field or gap junction coupling pathways. Frequency sensitivity of the model is investigated as a preliminary step in illustrating the principles of possible epileptic seizure control strategies using "chaos control" concepts. Significant effects of stochastic resonance are observed in the 4-8 Hz range. Weaker effects can be found in the 1-4 Hz and 8-10 Hz ranges whereas 0.5 Hz does not exhibit any resonance phenomenon. Our results suggest that: (a) Stochastic resonance could enhance the intrinsic 4-8 Hz rhythms in CA3 neurons more prominently via field coupling pathways. It could also help explain why some reported seizure control strategies using pulse-trains would only be effective at 0.5 Hz. (b) Stochastic resonance-like behavior can occur in the gamma range only if noise is presented via chemical synaptic pathways.

摘要

我们表明,混沌系统有可能展现出随机共振和相干共振的主要特征。具体而言,一个模拟CA3神经元跨膜电压活动的耦合非线性振荡器模型,在混沌状态且存在噪声的情况下,能够表现出相干共振和随机共振。对于某些最佳噪声强度值,特定的放电频率会变得更具“节律性”。研究了不同耦合途径中噪声的影响。我们发现,如果噪声出现在电场或缝隙连接耦合途径中,相干共振和随机共振的效应会更显著。作为使用“混沌控制”概念阐释可能的癫痫发作控制策略原理的初步步骤,研究了该模型的频率敏感性。在4 - 8Hz范围内观察到显著的随机共振效应。在1 - 4Hz和8 - 10Hz范围内效应较弱,而0.5Hz未表现出任何共振现象。我们的结果表明:(a) 随机共振可通过场耦合途径更显著地增强CA3神经元内在的4 - 8Hz节律。这也有助于解释为何一些报道的使用脉冲序列的癫痫发作控制策略仅在0.5Hz时有效。(b) 只有当噪声通过化学突触途径出现时,才会在伽马范围内发生类似随机共振的行为。

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