Dynamics of spiking neurons with electrical coupling |
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Authors: | Chow C C Kopell N |
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Affiliation: | Department of Mathematics, University of Pittsburgh, PA 15206, USA. |
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Abstract: | We analyze the existence and stability of phase-locked states of neurons coupled electrically with gap junctions. We show that spike shape and size, along with driving current (which affects network frequency), play a large role in which phase-locked modes exist and are stable. Our theory makes predictions about biophysical models using spikes of different shapes, and we present simulations to confirm the predictions. We also analyze a large system of all-to-all coupled neurons and show that the splay-phase state can exist only for a certain range of frequencies. |
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