Excitatory electromagnetic induction current enhances coherence resonance of the FitzHugh–Nagumo neuron

Abstract

The effect of electromagnetic induction on neural firing activities has been widely investigated and has also been related to neural information coding. In this study, electromagnetic induction and Gaussian white noise (GWN) are introduced to the FitzHugh–Nagumo neuron, and the effect of induction current on GWN-induced coherence resonance (CR) is investigated. For an appropriate value of bias voltage source, the induction current is excitatory (respectively, inhibitory) when the gain of induction current is positive (respectively, negative). When the induction current is excitatory, the degree of CR is enhanced. When the induction current is inhibitory, however, the degree of CR is weakened. Furthermore, by varying the value of bias voltage source, we show that the degree of CR increases with the increase in the gain of induction current. Bifurcation analysis shows that the supercritical Hopf bifurcation point gets close to the resting state with the increase in the gain of induction current, which causes the increase in the degree of CR. The results of this study show that excitatory electromagnetic induction current can enhance noise-induced CR. This finding provides a possible way to modulate CR of the nervous system.