Dynamics and control of First Spiking Stochastic Neuron
  • 【摘要】

    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... 展开>>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. 收起<<

  • 【作者】

    Yongjun Wu  Jianhua Peng  Ming Luo 

  • 【作者单位】

    Department

  • 【会议名称】

    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

  • 【会议时间】

    2009-05-15

  • 【会议地点】

    南京

  • 【主办单位】

    中国力学学会

  • 【语种】

    chi

  • 【关键词】

    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