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Glial Ca2+ oscillation plays a primary role in intercellular communication of neuronal population, particularly in spread of neural disease like epilepsy.The present study is focused on Ca2+ oscillation and excitability of the astrocyte-neuron network with a global and stochastic neuron-astrocyte interaction.First, a biologically plausible neuron-astrocyte network constructed by Mahmood Amiri is introduced, where an astrocyte interacts with adjoining neurons.