Dynamics of spiking neurons with electrical coupling.
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.
Chow
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CC
Department of Mathematics, University of Pittsburgh, PA 15206, USA.
Kopell
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D000200:Action Potentials / Q000502:physiology*; D003198:Computer Simulation; D004553:Electric Conductivity; D017629:Gap Junctions / Q000502:physiology; D007395:Interneurons / Q000502:physiology*; D008959:Models, Neurological; D013569:Synapses / Q000502:physiology