Synchronization in Electrically Coupled Neural Networks
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In this report, we investigate the synchronization of temporal activity in an electrically coupled neural network model. The electrical coupling is established by homotypic static gap-junctions (Connexin 43). Two distinct network topologies, namely: {\em sparse random network, (SRN)} and {\em fully connected network, (FCN)} are used to establish the connectivity. The strength of connectivity in the FCN is governed by the {\em mean gap junctional conductance} ($μ$). In the case of the SRN, the overall strength of connectivity is governed by the {\em density of connections} ($δ$) and the connection strength between two neurons ($S_0$). The synchronization of the network with increasing gap junctional strength and varying population sizes is investigated. It was observed that the network {\em abruptly} makes a transition from a weakly synchronized to a well synchronized regime when ($δ$) or ($μ$) exceeds a critical value. It was also observed that the ($δ$, $μ$) values used to achieve synchronization decreases with increasing network size.