文献类型：期刊文献

英文题名：First-firing statistics of a neuron bombarded by additive coloured noise: Stochastic averaging method

作者：Wu, Yongjun[1]; Fang, Wang[2]; Peng, Jianhua[1]; Luo, Ming[1]

机构：[1] College of Information Science and Engineering, East China University of Science and Technology, Shanghai, 200237, China; [2] Hangzhou Yiheng Technologies Co. Ltd., 2F, 28 Wantang Road, Hangzhou 310013, China

年份：2008

卷号：85

期号：6

起止页码：937

外文期刊名：International Journal of Computer Mathematics

收录：EI(收录号：20131816267347)

基金：The work reported in this paper was supported by the National Natural Science Foundation of China (Grant no. 10572086) and the Foundation of ECUST (East China University of Science and Technology) for Outstanding Young Teachers (Grant no. YH0157105).

语种：英文

外文关键词：Neurons - Probability density function - Fires - Stochastic systems - Intelligent systems - Monte Carlo methods - Neural networks

摘要：The stochastic averaging method is used to evaluate the first-firing statistics of a neuron bombarded by additive coloured noise. The mathematical formulation of the first-firing statistics is established, and the first-firing probability, the probability density function of the first-firing time, and the mean first-firing time are obtained numerically. The two best-known examples of the formal spiking neuron model, a perfect integrate-and-fire neuron model and a quadratic integrate-and-fire neuron model are studied to show the application of the proposed method. All numerical results have been verified by Monte Carlo simulation. Their validity encourages further studies of other abstract neuronal models.