Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstraße 39, 10117, Berlin, Germany.
Aix Marseille Univ, Inserm, INS, Institut de Neurosciences des Systèmes, Marseille, France.
Sci Rep. 2017 May 8;7(1):1577. doi: 10.1038/s41598-017-01658-8.
Neurons in the intact brain receive a continuous and irregular synaptic bombardment from excitatory and inhibitory pre- synaptic neurons, which determines the firing activity of the stimulated neuron. In order to investigate the influence of inhibitory stimulation on the firing time statistics, we consider Leaky Integrate-and-Fire neurons subject to inhibitory instantaneous post- synaptic potentials. In particular, we report exact results for the firing rate, the coefficient of variation and the spike train spectrum for various synaptic weight distributions. Our results are not limited to stimulations of infinitesimal amplitude, but they apply as well to finite amplitude post-synaptic potentials, thus being able to capture the effect of rare and large spikes. The developed methods are able to reproduce also the average firing properties of heterogeneous neuronal populations.
在完整的大脑中，神经元会持续不断地受到来自兴奋性和抑制性突触前神经元的不规则突触冲击，这决定了被刺激神经元的放电活动。为了研究抑制性刺激对放电时间统计的影响，我们考虑了受到抑制性瞬时突触后电位影响的 Leaky Integrate-and-Fire 神经元。具体来说，我们报告了各种突触权重分布下的放电率、变异系数和尖峰序列谱的精确结果。我们的结果不仅限于微小幅度的刺激，也适用于有限幅度的突触后电位，因此能够捕捉到罕见和大尖峰的影响。所开发的方法还能够再现异质神经元群体的平均放电特性。
