Controlling a neuron by stimulating a coupled neuron

doi:10.1007/s10483-019-2407-8

Abstract

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

2010 MSC Number:

34H05
93C10

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

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