Bistability in pulse propagation in networks of excitatory and inhibitory populations.
We study the propagation of traveling solitary pulses in one-dimensional networks of excitatory and inhibitory integrate-and-fire neurons. Slow pulses, during which inhibitory cells fire well before neighboring excitatory cells, can propagate along the network at intermediate inhibition levels. At higher levels, they destabilize via a Hopf bifurcation. There is a bistable parameter regime in which both fast and slow pulses can propagate. Lurching pulses with spatiotemporal periodicity can propagate in regimes for which continuous pulses do not exist.
Golomb
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Zlotowski Center for Neuroscience and Department of Physiology, Faculty of Health Sciences, Ben Gurion University of the Negev, Be'er-Sheva 84105, Israel.
Ermentrout
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GB
D008564:Membrane Potentials / Q000502:physiology; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D009431:Neural Conduction / Q000502:physiology*; D009474:Neurons / Q000502:physiology*