文献类型：会议论文

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]E China Univ Sci & Technol, Coll Informat Sci & Engn, Shanghai 200237, Peoples R China;[2]Hangzhou Yiheng Technol Co Ltd, Hangzhou 310013, Peoples R China

会议论文集：2nd International Conference on Dynamics, Vibration and Control

会议日期：AUG 23-26, 2006

会议地点：Beijing, PEOPLES R CHINA

语种：英文

外文关键词：integrate-and-fire; coloured noise; stochastic averaging; first-firing probability; mean first-firing time

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.