Noise effects on robust synchronization of a small pacemaker neuronal ensemble via nonlinear controller: electronic circuit design

作者：Ngouonkadi Elie Bertrand Megam; Fotsin Hilaire Bertrand^*; Nono Martial Kabong; Louodop Fotso Patrick Herve

来源：Cognitive Neurodynamics, 2016, 10(5): 385-404.

DOI：10.1007/s11571-016-9393-1

• Noise
• Synchronization
• Pacemaker neuronal ensemble
• Sliding mode
• Feedback control
• Pspice simulation

In this paper, we report on the synchronization of a pacemaker neuronal ensemble constituted of an AB neuron electrically coupled to two PD neurons. By the virtue of this electrical coupling, they can fire synchronous bursts of action potential. An external master neuron is used to induce to the whole system the desired dynamics, via a nonlinear controller. Such controller is obtained by a combination of sliding mode and feedback control. The proposed controller is able to offset uncertainties in the synchronized systems. We show how noise affects the synchronization of the pacemaker neuronal ensemble, and briefly discuss its potential benefits in our synchronization scheme. An extended Hindmarsh-Rose neuronal model is used to represent a single cell dynamic of the network. Numerical simulations and Pspice implementation of the synchronization scheme are presented. We found that, the proposed controller reduces the stochastic resonance of the network when its gain increases.

• 出版日期2016-10
• 单位Univ Estadual Paulista