Journal of Computational Neuroscience

, Volume 37, Issue 2, pp 357–376 | Cite as

Adaptation and shunting inhibition leads to pyramidal/interneuron gamma with sparse firing of pyramidal cells



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


Gamma oscillations Spike frequency adaptation Clustered oscillations Multiple timer scales Shunting inhibition 



The research of MK was supported in part by a grant from the city of Paris (Bourse de la ville de Paris) and by CLS NWO grant to Stan Gielen. The research of BG was supported by the CNRS, INSERM, ANR, ENP, by Ville de Paris and by the Basic Research Program of the National Research University Higher School of Economics, Moscow, Russia. The research of SG was supported in part by the CLS program of NWO.

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Project Team MYCENAEINRIA Paris-Rocquencourt Research CentreLe Chesnay cedexFrance
  2. 2.Huygens GebouwRadboud University NijmegenNijmegenThe Netherlands
  3. 3.Group for Neural TheoryÉcole Normale SuperieureParisFrance
  4. 4.National Research University Higher School of EconomicsCenter for Cognition and Decision MakingMoscowRussia

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