Dynamics and control of First Spiking Stochastic Neuron
First-spiking dynamics and control of a mathematically modeled neuron under the stimulation of colored noise is investigated. For the uncontrolled model，the stochastic averaging principle is utilized and the model equation is approximated by diffusion process and depicted by It? Stochastic differential equation. As for the controlled problem for maximizing the resting probability and maximizing the time to first spike，the dynamical programming equations are established. The optimal control law is determined. The controlled original model equation is also represented by It? Stochastic differential equation. The corresponding backward Kolmogorov equation and Pontryagin equation associated with the It? Stochastic differential equation，for uncontrolled and controlled case，are established and solved to yield the resting probability and the time to first spike，respectively. 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.
第一高峰时间 随机平均 有色噪声 蒙特卡罗模拟 数学模型 随机微分方程 最优控制
Yongjun Wu Jianhua Peng Ming Luo
Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China Sch School of Information Science and Engineering, East China University of Science and Technology, Shan
国内会议
第十二届全国非线性振动暨第九届全国非线性动力学和运动稳定性学术会议
南京
英文
1-7
2009-05-15（万方平台首次上网日期，不代表论文的发表时间）