Exact results for power spectrum and susceptibility of a leaky integrate-and-fire neuron with two-state noise
Exact results for power spectrum and susceptibility of a leaky integrate-and-fire neuron with two-state noise
复制标题
DOI：
10.1103/physreve.95.012411
复制
发表时间：
2017-01-27
影响因子：
2.4
通讯作者：
Lindner, Benjamin
中科院分区：
文献类型：
--
作者：
Droste, Felix;Lindner, Benjamin
色噪声驱动的可激励系统的响应特性是非常有趣的，但通常只能通过近似在数学上访问。由于这个原因，二分噪声，一个罕见的例子，有色噪声往往导致分析处理的问题，已被广泛用于随机系统的研究。在这里，我们计算精确表达式的功率谱和敏感性的泄漏集成和消防神经元驱动的非对称二分噪声。虽然我们的结果与模拟结果非常一致，但它们也突出了使用二分法噪声作为更复杂波动的简单模型的局限性：功率谱和磁化率都表现出无阻尼的周期性结构，我们详细讨论了其起源。
The response properties of excitable systems driven by colored noise are of great interest, but are usually mathematically only accessible via approximations. For this reason, dichotomous noise, a rare example of a colored noise leading often to analytically tractable problems, has been extensively used in the study of stochastic systems. Here, we calculate exact expressions for the power spectrum and the susceptibility of a leaky integrate-and-fire neuron driven by asymmetric dichotomous noise. While our results are in excellent agreement with simulations, they also highlight a limitation of using dichotomous noise as a simple model for more complex fluctuations: Both power spectrum and susceptibility exhibit an undamped periodic structure, the origin of which we discuss in detail.