Modulation of synchronous gamma rhythm clusters

Denis Zakharov,Victor Tyutin,Martin Krupa,Boris Gutkin

doi:10.35470/2226-4116-2019-8-3-185-188

Abstract

Gamma rhythm plays a key role in a number of cognitive tasks: working memory, sensory processing and routing of information across neural circuits. In comparison with other (lower frequency) oscillations it is sparser and heterogeneous in space. One way to model such properties of gamma rhythm is to describe it through a neural network consisting of interacting populations of pyramidal cells (excitatory neurons) and interneurons (inhibitory neurons), demonstrating cluster synchronization. The structure of such clusters can be modulated by endogenous neuromodulators: dopamine, acetylcholine, adrenaline, etc. In this article we consider the reconfiguring of synchronous clusters of pyramidal interneuron gamma rhythm (pyramidal interneuron gamma, PING) due to the variation of the frequency adaptation parameter of pyramidal cells and the strength of excitatory synaptic connections. We have shown that the variation of the frequency adaptation parameter has the strongest impact on the strongest influence on the cluster structure and can lead to either an increase or a decrease of the number of synchronous clusters.

Highlights

Gamma rhythm (30-100 Hz) plays a key role in numerous cognitive tasks [Buzsáki 2006]: working memory, sensory processing and routing of information across neural circuits [Akam and Kullmann 2014]
In [Krupa, Gielen and Gutkin 2014] it was shown that shunting inhibition and adaptation determine the maximal number of synchronous cluster in the Pyramidal Interneuron Gamma (PING) networks
The maximal number of the clusters, which can immediately exist in such network, depends, in particular, on the parameter gAHP which is responsible for adaptation of intrinsic PY cells period and changes their PRC shape, and gie, gei determining the strength of the inhibitory and excitatory chemical connections between the populations

Summary

Introduction

Gamma rhythm (30-100 Hz) plays a key role in numerous cognitive tasks [Buzsáki 2006]: working memory, sensory processing and routing of information across neural circuits [Akam and Kullmann 2014]. Gamma rhythm that is observed in the cortex is generated by local interacting populations of pyramidal (PY) cells and interneurons (IN) [Bartos 2007]. The cluster patterns are dependent on the intrinsic properties of the constituent neurons (e.g. spike frequency adaptation) and this may be returned by processes in the cortex that affect these properties.

Results

Conclusion