title: Spikes matter for phase-locked bursting in inhibitory neurons.
abstract: We show that inhibitory networks composed of two endogenously bursting neurons can robustly display several coexistent phase-locked states in addition to stable antiphase and in-phase bursting. This work complements and enhances our recent result [Jalil, Belykh, and Shilnikov, Phys. Rev. E 81, 045201(R) (2010)] that fast reciprocal inhibition can synchronize bursting neurons due to spike interactions. We reveal the role of spikes in generating multiple phase-locked states and demonstrate that this multistability is generic by analyzing diverse models of bursting networks with various fast inhibitory synapses; the individual cell models include the reduced leech heart interneuron, the Sherman model for pancreatic beta cells, and the Purkinje neuron model.
authors.affiliation: Department of Mathematics and Statistics, Georgia State University, 30 Pryor Street, Atlanta, Georgia 30303, USA.
authors.forename: Sajiya
authors.initials: S
authors.lastname: Jalil
authors.forename: Igor
authors.initials: I
authors.lastname: Belykh
authors.forename: Andrey
authors.initials: A
authors.lastname: Shilnikov
mesh_terms: D008959:Models, Neurological; D009415:Nerve Net / Q000166:cytology / Q000502:physiology; D009474:Neurons / Q000166:cytology*; D013569:Synapses / Q000378:metabolism