Cluster formation in modular pyramidal-interneuron gamma networks under spike-frequency adaptation

European Physical Journal: Special Topics. 2025. Vol. 234. P. 4453–4467.

Olesia Dogonasheva, Boris Gutkin, Denis Zakharov

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.

Keywords: синхронизация, Synchronization, synchronous clusters, spiking neuronal networks, спайковые нейронные сети, PING rhythm, spike-frequency adaptation, PING ритм, адаптация частоты генерации спайков, синхронные кластеры

Publication based on the results of: Multidisciplinary study of behavior and decision-making in health population and patients using behavioral, economic, neurocognitive, neuroeconomic, neurocomputational and neural network approaches (2025)