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In this paper we present a biologically detailed mathematical model oftripartite synapses, where astrocytes modulate short-term synaptic plasticity.The model consists of a pre-synaptic bouton, a post-synaptic dendriticspine-head, a synaptic cleft and a peri-synaptic astrocyte controlling Ca2+dynamics inside the synaptic bouton. This in turn controls glutamate releasedynamics in the cleft. As a consequence of this, glutamate concentration in thecleft has been modeled, in which glutamate reuptake by astrocytes has also beenincorporated. Finally, dendritic spine-head dynamics has been modeled. As anapplication, this model clearly shows synaptic potentiation in the hippocampalregion, i.e., astrocyte Ca2+ mediates synaptic plasticity, which is inconformity with the majority of the recent findings (Perea & Araque, 2007;Henneberger et al., 2010; Navarrete et al., 2012).

A Mathematical Model of Tripartite Synapse: Astrocyte Induced Synaptic Plasticity