title: Adaptation and shunting inhibition leads to pyramidal/interneuron gamma with sparse firing of pyramidal cells.
abstract: Gamma oscillations are a prominent phenomenon related to a number of brain functions. Data show that individual pyramidal neurons can fire at rate below gamma with the population showing clear gamma oscillations and synchrony. In one kind of idealized model of such weak gamma, pyramidal neurons fire in clusters. Here we provide a theory for clustered gamma PING rhythms with strong inhibition and weaker excitation. Our simulations of biophysical models show that the adaptation of pyramidal neurons coupled with their low firing rate leads to cluster formation. A partially analytic study of a canonical model shows that the phase response curves with a near zero flat region, caused by the presence of the slow adaptive current, are the key to the formation of clusters. Furthermore we examine shunting inhibition and show that clusters become robust and generic.
authors.affiliation: Project Team MYCENAE, INRIA Paris-Rocquencourt Research Centre, Domaine de Voluceau BP 105, 78153, Le Chesnay cedex, France, maciej.p.krupa@gmail.com.
authors.forename: Martin
authors.initials: M
authors.lastname: Krupa
authors.forename: Stan
authors.initials: S
authors.lastname: Gielen
authors.forename: Boris
authors.initials: B
authors.lastname: Gutkin
mesh_terms: D000200:Action Potentials / Q000502:physiology; D000222:Adaptation, Physiological / Q000502:physiology*; D003198:Computer Simulation; D007395:Interneurons / Q000502:physiology*; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D009433:Neural Inhibition / Q000502:physiology*; D017966:Pyramidal Cells / Q000502:physiology*