The Dynamics of Integrate-and-Fire: Mean Versus Variance Modulations and Dependence on Baseline Parameters
The Dynamics of Integrate-and-Fire: Mean Versus Variance Modulations and Dependence on Baseline Parameters
复制标题
积分与激发的动力学：均值与方差调制以及对基线参数的依赖性
DOI：
10.1162/neco_a_00114
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发表时间：
2011
影响因子：
2.9
通讯作者：
T. Troyer
中科院分区：
文献类型：
--
作者：
Joanna Pressley;T. Troyer
Leaky Integrate-and-Fire（LIF）是最简单的神经元模型，它捕捉了神经元信号的基本特性。然而，普通的直觉不足以解释LIF对输入的正弦调制的响应的基本特性。在这里，我们研究的平均值和方差的输入电流的低频和中频调制的响应，并量化这些响应如何依赖于基线参数。在参数范围内，对平均电流调制的响应是低通的，在高频极限下接近零。对于非常低的基线放电率，响应截止频率与膜整合的预期相匹配。然而，截止显示出一个快速的，超线性的增加与射击率，在较低的噪声的情况下，一个陡峭的增加。对于输入方差的调制，高频处的增益保持有限。在这里，我们表明，低频响应强烈地依赖于基线参数，并推导出一个分析条件，指定的参数，在该参数下，响应切换由低频与高频为主。此外，我们表明，方差调制的共振响应具有普通振荡共振所不期望的特性：它们在高于基线发射率的频率处达到峰值，并且当振荡尖峰被高噪声破坏时持续存在。最后，平均值和方差调制的响应示出具有互补的依赖于基线参数在较高的频率，从而在响应的泊松输入速率的调制是独立的基线输入统计。
The leaky integrate-and-fire (LIF) is the simplest neuron model that captures the essential properties of neuronal signaling. Yet common intuitions are inadequate to explain basic properties of LIF responses to sinusoidal modulations of the input. Here we examine responses to low - and moderate-frequency modulations of both the mean and variance of the input current and quantify how these responses depend on baseline parameters. Across parameters, responses to modulations in the mean current are low pass, approaching zero in the limit of high frequencies. For very low baseline firing rates, the response cutoff frequency matches that expected from membrane integration. However, the cutoff shows a rapid, supralinear increase with firing rate, with a steeper increase in the case of lower noise. For modulations of the input variance, the gain at high frequency remains finite. Here, we show that the low-frequency responses depend strongly on baseline parameters and derive an analytic condition specifying the parameters at which responses switch from being dominated by low versus high frequencies. Additionally, we show that the resonant responses for variance modulations have properties not expected for common oscillatory resonances: they peak at frequencies higher than the baseline firing rate and persist when oscillatory spiking is disrupted by high noise. Finally, the responses to mean and variance modulations are shown to have a complementary dependence on baseline parameters at higher frequencies, resulting in responses to modulations of Poisson input rates that are independent of baseline input statistics.
影响因子：
2.5
作者：
Carandini, M;Mechler, F;Movshon, JA
通讯作者：
Movshon, JA
影响因子：
3.7
作者：
Koendgen, Harold;Giesler, Caroline;Giugliano, Michele
通讯作者：
Giugliano, Michele