Controlling a neuron by stimulating a coupled neuron

doi:10.1007/s10483-019-2407-8

Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (1): 13-24.doi: https://doi.org/10.1007/s10483-019-2407-8

Controlling a neuron by stimulating a coupled neuron

Song LIANG¹, Zaihua WANG^1,2

1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
2. Department of Basic Courses, Army Engineering University, Nanjing 211101, China

收稿日期:2018-07-11 修回日期:2018-09-10 出版日期:2019-01-01 发布日期:2019-01-01
通讯作者: Zaihua WANG E-mail:zhwang@nuaa.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11372354) and the Jiangsu Innovation Program for Graduate Education (No. KYLX16 0308)

Controlling a neuron by stimulating a coupled neuron

Song LIANG¹, Zaihua WANG^1,2

1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
2. Department of Basic Courses, Army Engineering University, Nanjing 211101, China

Received:2018-07-11 Revised:2018-09-10 Online:2019-01-01 Published:2019-01-01
Contact: Zaihua WANG E-mail:zhwang@nuaa.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11372354) and the Jiangsu Innovation Program for Graduate Education (No. KYLX16 0308)

摘要/Abstract

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.

关键词: continuous casting, phase change, temperature field, bursting, robustness, spiking, coupled neuron, observer-based control

Abstract: 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.

Key words: continuous casting, phase change, temperature field, robustness, spiking, observer-based control, coupled neuron, bursting

中图分类号:

34H05
93C10

Song LIANG, Zaihua WANG. Controlling a neuron by stimulating a coupled neuron[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(1): 13-24.

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Controlling a neuron by stimulating a coupled neuron

Controlling a neuron by stimulating a coupled neuron

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