https://doi.org/10.1140/epjs/s11734-025-01582-3
Regular Article
Cluster formation in modular pyramidal-interneuron gamma networks under spike-frequency adaptation
1
Centre for Cognition and Decision Making, National Research University Higher School of Economics, 101000, Moscow, Russia
2
Group of Neural Theory, École Normale Supérieure PSL* University, 75005, Paris, France
Received:
12
December
2024
Accepted:
14
March
2025
Published online:
27
March
2025
In this paper, we consider a pyramidal-interneuron gamma (PING) network consisting of interacting subnetworks of pyramidal cells and interneurons. The main question we have addressed is the dependence of cluster formation processes on the chemical synapse weights and the ionic currents (AHP- and M-current) of the pyramidal neurons that underlie the frequency adaptation and the change of spiking excitability class. Variation of pyramidal cell frequency leads to cluster synchronization with different numbers of synchronous clusters and changes the properties of gamma rhythm. Using a natural continuation algorithm, we studied the multistability between different cluster regimes and found dependence of their structure on the pyramidal cells properties. We also showed that the strong inhibitory connections stabilize lower cluster regimes and destroy higher cluster modes. For all values of the inhibition, there is multistability between modes with different number of clusters that opens up prospects for control of gamma rhythm properties.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
