Study on Synchrony of Two Uncoupled Neurons under Slow Ramp Current Stimulation

We study the synchronization mechanism of two uncoupled Hindmarsh-Rose neurons under different initial discharge patterns stimulated by the slow ramp current by calculating and analyzing neurons´ membrane potentials and interspike interval (ISI) distribution. Under the slow ramp current stimulation, the two uncoupled neurons under different initial conditions can realize the discharge synchronization (phase synchronization) or the gust full synchronization(state synchronization) with the ramp´s amplitude increasing. The synchronization characteristics are related to values of the parameter r and the parameter difference ¿r. This investigation shows the characteristics of the slow current amplitude affecting the synchronization process of neurons, and reflects the important role of the calcium ion in the process of realizing neurons´ synchronization. This result is helpful to study the synchronization and encode of many neurons or neural network, and provides help for studying some nervous diseases such as epilepsy and Alzheimer´s disease by the slow wave of EEG.