dorsal/arxiv
View SchemaSynchronization in Electrically Coupled Neural Networks
| Authors | Rajesh G Kavasseri, Radhakrishnan Nagarajan |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0603035 |
| URL | https://arxiv.org/abs/q-bio/0603035 |
Abstract
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} ($\mu$). In the case of the SRN, the overall strength of connectivity is governed by the {\em density of connections} ($\delta$) 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 ($\delta$) or ($\mu$) exceeds a critical value. It was also observed that the ($\delta$, $\mu$) values used to achieve synchronization decreases with increasing network size.
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"abstract": "In this report, we investigate the synchronization of temporal activity in an\nelectrically coupled neural network model. The electrical coupling is\nestablished by homotypic static gap-junctions (Connexin 43). Two distinct\nnetwork topologies, namely: {\\em sparse random network, (SRN)} and {\\em fully\nconnected network, (FCN)} are used to establish the connectivity. The strength\nof connectivity in the FCN is governed by the {\\em mean gap junctional\nconductance} ($\\mu$). In the case of the SRN, the overall strength of\nconnectivity is governed by the {\\em density of connections} ($\\delta$) and the\nconnection strength between two neurons ($S_0$). The synchronization of the\nnetwork with increasing gap junctional strength and varying population sizes is\ninvestigated. It was observed that the network {\\em abruptly} makes a\ntransition from a weakly synchronized to a well synchronized regime when\n($\\delta$) or ($\\mu$) exceeds a critical value. It was also observed that the\n($\\delta$, $\\mu$) values used to achieve synchronization decreases with\nincreasing network size.",
"arxiv_id": "q-bio/0603035",
"authors": [
"Rajesh G Kavasseri",
"Radhakrishnan Nagarajan"
],
"categories": [
"q-bio.NC"
],
"title": "Synchronization in Electrically Coupled Neural Networks",
"url": "https://arxiv.org/abs/q-bio/0603035"
},
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