Firing patterns of an improved Izhikevich neuron model under the effect of electromagnetic induction and noise

Abstract

Abstract The neuron's behavior is related to the changes in its complex electrophysiological environment such as variations in ion concentration. In this paper, a three-variable memristive Izhikevich model is proposed to describe the behavior of neurons under electromagnetic induction and noise. This model can represent the effect of internal and external magnetic fields on neurons. The improved model without the external magnetic field can exhibit firing patterns such as regular spiking, resonator, chattering, fast-spiking, chaotic spiking, and chaotic bursts. The presence of the external magnetic field causes the firing pattern of the neuron to change, for example shifting from chaotic firings to the periodic ones or vice versa. Furthermore, the firing rate of the neuron is increased. It is also observed that the external field effect can stimulate the neuron to fire, while in the absence of the external field, it is at rest. Finally, in order to detect the realistic neuron's activities, we examine the effect of Gaussian white noise on the improved model. The results show that the model has more robustness against noise with considering the external magnetic field.