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具有部分重置的脉冲神经元网络中的顺序去同步化

Sequential desynchronization in networks of spiking neurons with partial reset.

作者信息

Kirst Christoph, Geisel Theo, Timme Marc

机构信息

Max Planck Institute for Dynamics and Self-Organization (MPIDS), 37073 Göttingen, Germany and Faculty of Physics, Georg August University Göttingen, 37077 Göttingen, Germany.

出版信息

Phys Rev Lett. 2009 Feb 13;102(6):068101. doi: 10.1103/PhysRevLett.102.068101. Epub 2009 Feb 9.

DOI:10.1103/PhysRevLett.102.068101
PMID:19257635
Abstract

The response of a neuron to synaptic input strongly depends on whether or not the neuron has just emitted a spike. We propose a neuron model that after spike emission exhibits a partial response to residual input charges and study its collective network dynamics analytically. We uncover a desynchronization mechanism that causes a sequential desynchronization transition: In globally coupled neurons an increase in the strength of the partial response induces a sequence of bifurcations from states with large clusters of synchronously firing neurons, through states with smaller clusters to completely asynchronous spiking. We briefly discuss key consequences of this mechanism for more general networks of biophysical neurons.

摘要

神经元对突触输入的反应强烈依赖于该神经元是否刚刚发放了一个动作电位。我们提出了一种神经元模型,该模型在动作电位发放后对残余输入电荷表现出部分反应,并对其集体网络动力学进行了分析研究。我们发现了一种去同步化机制,该机制会导致连续的去同步化转变:在全局耦合的神经元中,部分反应强度的增加会引发一系列分岔,从具有大量同步发放神经元簇的状态,经过具有较小簇的状态,直至完全异步发放。我们简要讨论了该机制对于更一般的生物物理神经元网络的关键影响。

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A discrete time neural network model with spiking neurons: II: dynamics with noise.一种具有脉冲神经元的离散时间神经网络模型:II:含噪声的动力学
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How Precise is the Timing of Action Potentials?动作电位的时间有多精确?
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