Electrical Mode Transition of Hybrid Neuronal Model Induced by External Stimulus and Electromagnetic Induction

Abstract

Based on a hybrid neuronal model of the Hindmarsh–Rose (HR) model (the slow negative feedback dynamics) with the Wilson model (the fast variable dynamics), the discharge modes of neurons are studied by using bifurcation analysis. When the hybrid neuronal model is driven by external stimulus current, the hybrid neuronal model is capable of simulating an extensive range of bursting patterns with different systemic parameters. With the increase of external stimulus, the multiple discharge patterns of neurons arise, and the electrical modes of the neurons appear for successive transitions. When the hybrid neuronal model is driven by electromagnetic induction, the electrical activities of the neurons have different responses to the variations in the amplitude and the angular frequency of high and low frequency electromagnetic radiations. It is found that the neuronal discharge activity is transformed from chaotic state to periodic state by increasing the angular frequency, and the firing pattern of neuron can be shifted from the bursting state to chaotic state by increasing the amplitude of the low frequency signal.