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具有时间驱动的平衡脉冲网络中的混沌与可靠性

Chaos and reliability in balanced spiking networks with temporal drive.

作者信息

Lajoie Guillaume, Lin Kevin K, Shea-Brown Eric

机构信息

Department of Applied Mathematics, University of Washington, Seattle, Washington 98195, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 May;87(5):052901. doi: 10.1103/PhysRevE.87.052901. Epub 2013 May 6.

Abstract

Biological information processing is often carried out by complex networks of interconnected dynamical units. A basic question about such networks is that of reliability: If the same signal is presented many times with the network in different initial states, will the system entrain to the signal in a repeatable way? Reliability is of particular interest in neuroscience, where large, complex networks of excitatory and inhibitory cells are ubiquitous. These networks are known to autonomously produce strongly chaotic dynamics-an obvious threat to reliability. Here, we show that such chaos persists in the presence of weak and strong stimuli, but that even in the presence of chaos, intermittent periods of highly reliable spiking often coexist with unreliable activity. We elucidate the local dynamical mechanisms involved in this intermittent reliability, and investigate the relationship between this phenomenon and certain time-dependent attractors arising from the dynamics. A conclusion is that chaotic dynamics do not have to be an obstacle to precise spike responses, a fact with implications for signal coding in large networks.

摘要

生物信息处理通常由相互连接的动态单元组成的复杂网络来执行。关于此类网络的一个基本问题是可靠性问题:如果相同的信号在网络处于不同初始状态时多次呈现,系统是否会以可重复的方式与信号同步?可靠性在神经科学中尤为重要,在神经科学中,由兴奋性和抑制性细胞组成的大型复杂网络无处不在。已知这些网络会自主产生强烈的混沌动力学——这对可靠性构成了明显威胁。在这里,我们表明,在存在弱刺激和强刺激的情况下,这种混沌仍然存在,但即使在存在混沌的情况下,高度可靠的尖峰发放的间歇期通常也与不可靠的活动共存。我们阐明了这种间歇性可靠性所涉及的局部动力学机制,并研究了这种现象与动力学中出现的某些时间依赖性吸引子之间的关系。一个结论是,混沌动力学不一定是精确尖峰响应的障碍,这一事实对大型网络中的信号编码具有启示意义。

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Dynamical entropy production in spiking neuron networks in the balanced state.在平衡状态下的尖峰神经元网络中的动力熵产生。
Phys Rev Lett. 2010 Dec 31;105(26):268104. doi: 10.1103/PhysRevLett.105.268104. Epub 2010 Dec 30.
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Consistency of nonlinear system response to complex drive signals.
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