Synchrony with shunting inhibition in a feedforward inhibitory network |
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Authors: | Sachin S Talathi Dong-Uk Hwang Paul R Carney William L Ditto |
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Institution: | (1) J Crayton Pruitt Family Department of Biomedical Engineering, University of Florida, Gainesville, FL 32611, USA;(2) Korea Institute of Oriental Medicine, 483 Exporo, Yuseong-gu, Daejeon, 305-811, Republic of Korea;(3) School of Biological and Health Systems Engineering, Arizona State University, Tempe, AZ 85287, USA |
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Abstract: | Recent experiments have shown that GABAA receptor mediated inhibition in adult hippocampus is shunting rather than hyperpolarizing. Simulation studies of realistic
interneuron networks with strong shunting inhibition have been demonstrated to exhibit robust gamma band (20–80 Hz) synchrony
in the presence of heterogeneity in the intrinsic firing rates of individual neurons in the network. In order to begin to
understand how shunting can contribute to network synchrony in the presence of heterogeneity, we develop a general theoretical
framework using spike time response curves (STRC’s) to study patterns of synchrony in a simple network of two unidirectionally
coupled interneurons (UCI network) interacting through a shunting synapse in the presence of heterogeneity. We derive an approximate
discrete map to analyze the dynamics of synchronous states in the UCI network by taking into account the nonlinear contributions
of the higher order STRC terms. We show how the approximate discrete map can be used to successfully predict the domain of
synchronous 1:1 phase locked state in the UCI network. The discrete map also allows us to determine the conditions under which
the two interneurons can exhibit in-phase synchrony. We conclude by demonstrating how the information from the study of the
discrete map for the dynamics of the UCI network can give us valuable insight into the degree of synchrony in a larger feed-forward
network of heterogeneous interneurons. |
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