Firing and synchronization modes in neural network under magnetic stimulation

Abstract

We examine two main behaviors including, firing activity and neuronal synchronization in a Hindmarsh–Rose neural network under magnetic stimulation. We use the theory of bifurcation analysis to seek the control parameters domains in which neuronal activity is set up. The statistical synchronization factor is recorded in order to evaluate the network synchronicity degree. The firing activity is found to be favorable when the values of control parameters, namely the magnetic coupling strength and the external electromagnetic induction, are between low-threshold and upper-threshold and unfavorable elsewhere. Additionally, the increase of electrical coupling strength drastically reduces the domain of control parameters where neuronal synchronization is expected. Our findings suggest that a rich neuronal activity including quiescent state, spiking/bursting regimes, amplitude death phenomenon and global synchronization may be efficiently regulated by electromagnetic induction of intra-and extracellular media of thalamic neurons.