文献类型：会议论文

英文题名：First Spiking Dynamics of Stochastic Neuronal Model with Optimal Control

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

机构：[1]Shanghai Jiao Tong Univ, Dept Engn Mech, Shanghai 200240, Peoples R China;[2]East China Univ Sci & Technol, Sch Informat Sci & Engn, Shanghai 200237, Peoples R China

会议论文集：15th International Conference on Neuro-Information Processing

会议日期：NOV 25-28, 2008

会议地点：Auckland, NEW ZEALAND

语种：英文

外文关键词：Optimal Control; Stochastic Averaging; First-Spiking; Colored Noise; Monte Carlo Simulation

摘要：First-spiking dynamics of optimally controlled neuron under stimulation of colored noise is investigated. The stochastic averaging principle is utilized and the model equation is approximated by diffusion process and depicted by Ito stochastic differential equation. The control problems for maximizing the resting probability and maximizing the time to first spike are constructed and the dynamical programming equations associated with the corresponding optimization problem are established. The optimal control law is determined. The cot-responding backward Kolmogorov equation and Pontryagin equation are established and solved to yield the resting probability and the time to first spike. The analytical results are verified by Monte Carlo simulation. It has shown that the proposed control strategy can suppress the overactive neuronal firing activity and possesses potential application for some neural diseases treatment.