State space method for predicting the spike times of a neuron
State space method for predicting the spike times of a neuron
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DOI：
10.1103/physreve.75.011925
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发表时间：
2007-01-01
影响因子：
2.4
通讯作者：
Shinomoto, Shigeru
中科院分区：
文献类型：
--
作者：
Kobayashi, Ryota;Shinomoto, Shigeru
已经确定的是，生物神经元对相同的波动输入电流再现精确的尖峰响应。我们希望预测给定神经元对于任何输入电流的激发时间。为此，引入了一个数学模型，用于模拟神经元对输入电流的电压响应。在预测一个新的输入电流的目标神经元的发射时间，我们在这里提出的方法估计尖峰发生的概率，而不是天真地阈值的模型电压的瞬时值。在可能的尖峰之前，最大限度地利用关于电压的状态空间及其模型的时间导数的信息来执行评估，其中时滞通过最大化互信息来确定。与朴素阈值方法相比，本方法的预测得到显著改善。
It has been established that a biological neuron reproduces the precise spike response to identical fluctuating input currents. We wish to predict the firing times of a given neuron for any input current. For this purpose, a mathematical model is introduced for mimicking the voltage response of the neuron to an input current. In predicting the firing times of a target neuron for a novel input current, we propose here the method of estimating the probability of spike occurrence, instead of naively thresholding an instantaneous value of the model voltage. The assessment is carried out maximally utilizing the information about the state space of the voltage and its time derivative(s) of the model, in advance of a possible spike, with a time lag that is determined by maximizing the mutual information. The prediction is significantly improved by the present method in comparison to the naive thresholding method.