title: The response of a classical Hodgkin-Huxley neuron to an inhibitory input pulse.
abstract: A population of uncoupled neurons can often be brought close to synchrony by a single strong inhibitory input pulse affecting all neurons equally. This mechanism is thought to underlie some brain rhythms, in particular gamma frequency (30-80 Hz) oscillations in the hippocampus and neocortex. Here we show that synchronization by an inhibitory input pulse often fails for populations of classical Hodgkin-Huxley neurons. Our reasoning suggests that in general, synchronization by inhibitory input pulses can fail when the transition of the target neurons from rest to spiking involves a Hopf bifurcation, especially when inhibition is shunting, not hyperpolarizing. Surprisingly, synchronization is more likely to fail when the inhibitory pulse is stronger or longer-lasting. These findings have potential implications for the question which neurons participate in brain rhythms, in particular in gamma oscillations.
authors.affiliation: Department of Mathematics, Tufts University, Medford, MA 02155, USA. cborgers@tufts.edu
authors.forename: Christoph
authors.initials: C
authors.lastname: Börgers
authors.forename: Martin
authors.initials: M
authors.lastname: Krupa
authors.forename: Stan
authors.initials: S
authors.lastname: Gielen
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D000818:Animals; D001683:Biological Clocks / Q000502:physiology; D002540:Cerebral Cortex / Q000166:cytology / Q000502:physiology*; D003198:Computer Simulation; D003344:Cortical Synchronization; D004558:Electric Stimulation; D006801:Humans; D007395:Interneurons / Q000502:physiology; D009433:Neural Inhibition / Q000502:physiology*; D009434:Neural Pathways / Q000502:physiology; D009474:Neurons / Q000502:physiology*; D017966:Pyramidal Cells / Q000502:physiology; D009435:Synaptic Transmission / Q000502:physiology*
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