Collective response, synapse coupling and field coupling in neuronal network

Highlights: • Field coupling between neurons is suggested. • Synapse coupling can be adjusted by field coupling. • Electromagnetic induction can modulate the electrical activities of neuron. - Abstract: Based on an improved neuron model with electromagnetic induction, the collective responses of chain neuronal network are detected. Besides the gap junction coupling between adjacent neurons, magnetic flux coupling is used to describe the effect of field coupling among all neurons. A statistical factor of synchronization is calculated to find the pattern stability dependence on the coupling intensity of junction coupling and field coupling. Bifurcation analysis and wave propagation are presented. It is found that signal propagation can be suppressed by field coupling on the network driven by external stimulus with diversity. Otherwise, network synchronization can be enhanced when external current stimulus are imposed on neurons of the network uniformly.