Lévy noise improves the electrical activity in a neuron under electromagnetic radiation.

Juan Wu,Jun Ma,Yong Xu,Tao Lu

doi:10.1371/journal.pone.0174330

Abstract

As the fluctuations of the internal bioelectricity of nervous system is various and complex, the external electromagnetic radiation induced by magnet flux on membrane can be described by the non-Gaussian type distribution of Lévy noise. Thus, the electrical activities in an improved Hindmarsh-Rose model excited by the external electromagnetic radiation of Lévy noise are investigated and some interesting modes of the electrical activities are exhibited. The external electromagnetic radiation of Lévy noise leads to the mode transition of the electrical activities and spatial phase, such as from the rest state to the firing state, from the spiking state to the spiking state with more spikes, and from the spiking state to the bursting state. Then the time points of the firing state versus Lévy noise intensity are depicted. The increasing of Lévy noise intensity heightens the neuron firing. Also the stationary probability distribution functions of the membrane potential of the neuron induced by the external electromagnetic radiation of Lévy noise with different intensity, stability index and skewness papremeters are analyzed. Moreover, through the positive largest Lyapunov exponent, the parameter regions of chaotic electrical mode of the neuron induced by the external electromagnetic radiation of Lévy noise distribution are detected.

Highlights

The neuronal system is extremely complex and contains a large number of neurons, where the signals are transferred through electrical activity and extensive signal informations are processed
In order to get the numerical series of membrane potential of the HR model, the fourth order Runge-Kutta algorithm is applied to calculate the model
The transfer of the spatial phase diagrams of the electrical activity are shown in panel (f) when the external electromagnet radiation-induced magnet flux of Levy noise with α = 1.8, β = 0, D = 1.0 acts on the membrane potential

Summary

Introduction

The neuronal system is extremely complex and contains a large number of neurons, where the signals are transferred through electrical activity and extensive signal informations are processed. The effect of external field or electromagnet radiation-induced magnet flux on the membrane φext is described by random Levy noise z(t), as the intricate externanl environment induced by the firing and impulse activities of neurons.

Results

Conclusion