Firing patterns and synchronous transition of ring-coupled neurons under electromagnetic radiation

Abstract:

In view of the external magnetic field having an impact on the discharge activity of neurons, a four variable ML(Morris and Lecar) neuron model with magnetic field is discussed. The bursting type and bifurcation process are revealed by using fast/slow dynamical bifurcation analysis, and discharge behavior of the system with the change of flux feedback coefficient is studied. At the same time, taking the three coupled neuron models with ring connections as an example, by defining the synchronization criterion—correlation coefficient and the maximum synchronization difference of fast and slow variables, it is found that under the action of magnetic field, a very small coupling strength can make a system transform chaos state into periodic discharge mode, and induce the synchronous transition of neuron from unrelated to burst synchronization, then to spike synchronization. Within the appropriate dual parameter range, the system is easier to synchronize with the appropriate coupling strength. It is helpful to understand the influence of electromagnetic radiation on the collective discharge motion of neural network and its synchronization mechanism under the proper coupling connections mode.