Dynamics of Spiking Neurons with Electrical Coupling

Authors:
Carson C. Chow;Nancy C. Kopell
Affiliations:
Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15206, U.S.A.;Department of Mathematics and Center for BioDynamics, Boston University, Boston, MA 02215, U.S.A.
Venue:
Neural Computation
Year:
2000

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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.