Controlling a neuron by stimulating a coupled neuron  

作　　者：Song LIANG Zaihua WANG 

机构地区：[1]State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics [2]Department of Basic Courses, Army Engineering University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2019年第1期13-24,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.11372354);the Jiangsu Innovation Program for Graduate Education(No.KYLX16 0308)

摘　　要：Despite the intensive studies on neurons, the control mechanism in real interactions of neurons is still unclear. This paper presents an understanding of this kind of control mechanism, controlling a neuron by stimulating another coupled neuron, with the uncertainties taken into consideration for both neurons. Two observers and a differentiator, which comprise the first-order low-pass filters, are first designed for estimating the uncertainties. Then, with the estimated values combined, a robust nonlinear controller with a saturation function is presented to track the desired membrane potential. Finally,two typical bursters of neurons with the desired membrane potentials are proposed in the simulation, and the numerical results show that they are tracked very well by the proposed controller.Despite the intensive studies on neurons, the control mechanism in real interactions of neurons is still unclear. This paper presents an understanding of this kind of control mechanism, controlling a neuron by stimulating another coupled neuron, with the uncertainties taken into consideration for both neurons. Two observers and a differentiator, which comprise the first-order low-pass filters, are first designed for estimating the uncertainties. Then, with the estimated values combined, a robust nonlinear controller with a saturation function is presented to track the desired membrane potential. Finally,two typical bursters of neurons with the desired membrane potentials are proposed in the simulation, and the numerical results show that they are tracked very well by the proposed controller.

关 键 词：COUPLED NEURON observer-based control SPIKING BURSTING ROBUSTNESS 

分 类 号：O29[理学—应用数学] O317.2[理学—数学]