Noise and the PSTH response to current transients: I. General theory and application to the integrate-and-fire neuron
Noise and the PSTH response to current transients: I. General theory and application to the integrate-and-fire neuron
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DOI：
10.1023/a:1012841516004
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发表时间：
2001-01-01
影响因子：
1.2
通讯作者：
Gerstner, W
中科院分区：
文献类型：
--
作者：
Herrmann, A;Gerstner, W
提出了一种分析模型，可以预测对受到不相关背景输入的神经元的当前脉冲的刺激后时间直方图（PSTH）响应的形状。该模型基于逃逸率和相应危险函数形式的噪声的明确描述。提出了该模型的两种形式。完整模型是非线性的，可以进行数值积分，而线性化版本可以进行解析求解。在线性化版本中，PSTH 对电流输入的响应与输入脉冲的滤波版本成比例。滤波器的带宽由噪声量决定。在高噪声的限制下，响应类似于输入脉冲感应的电势的时间过程，而对于低噪声，它与其导数成正比。对于低噪声，第二个峰值出现在一个平均间隔之后。完整的非线性模型预测兴奋性和抑制性电流输入之间的不对称性。我们将我们的结果与具有随机背景输入的集成发射模型的模拟进行比较。我们预测，在阈下和阈上状态下的许多类型的神经元中都应该可以观察到由于噪声引起的 PSTH 形状的变化。
An analytical model is proposed that can predict the shape of the poststimulus time histogram (PSTH) response to a current pulse of a neuron subjected to uncorrelated background input. The model is based on an explicit description of noise in the form of an escape rate and corresponding hazard function. Two forms of the model are presented. The full model is nonlinear and can be integrated numerically, while the linearized version can be solved analytically. In the linearized version, the PSTH response to a current input is proportional to a filtered version of the input pulse. The bandwidth of the filter is determined by the amount of noise. In the limit of high noise, the response is similar to the time course of the potential induced by the input pulse, while for low noise it is proportional to its derivative. For low noise, a second peak occurs after one mean interval. The full nonlinear model predicts an asymmetry between excitatory and inhibitory current inputs. We compare our results with simulations of the integrate-and-fire model with stochastic background input. We predict that changes in PSTH shape due to noise should be observable in many types of neurons in both subthreshold and suprathreshold regimes.