Influence of inhibitory autapses on synchronization of inhibitory network gamma oscillations

Yanbing Jia; Huaguang Gu; Yuye Li

doi:10.1007/s11571-022-09856-5

Influence of inhibitory autapses on synchronization of inhibitory network gamma oscillations

Cogn Neurodyn. 2023 Oct;17(5):1131-1152. doi: 10.1007/s11571-022-09856-5. Epub 2022 Aug 12.

Authors

Yanbing Jia¹, Huaguang Gu², Yuye Li³

Affiliations

¹ School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471000 China.
² School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092 China.
³ College of Mathematics and Computer Science, Chifeng University, Chifeng, 024000 China.

PMID: 37786650
PMCID: PMC10542088 (available on 2024-10-01)
DOI: 10.1007/s11571-022-09856-5

Abstract

A recent experimental study showed that inhibitory autapses favor firing synchronization of parvalbumin interneurons in the neocortex during gamma oscillations. In the present paper, to provide a comprehensive and deep understanding to the experimental observation, the influence of inhibitory autapses on synchronization of interneuronal network gamma oscillations is theoretically investigated. Weak, middle, and strong synchronizations of a globally inhibitory coupled network composed of Wang-Buzsáki model without autapses appear at the bottom-left, middle, and top-right of the parameter plane with the conductance (g_syn) and the decay constant (τ_syn) of inhibitory synapses taken as the x-axis and y-axis, respectively. After introducing inhibitory autapses, the border between the strong and middle synchronizations in the (g_syn, τ_syn) plane moves to the top-right with increasing the conductance (g_aut) and the decay constant (τ_aut) of autapses, due to that interspike interval of the single neuron becomes longer, leading to that larger τ_syn is needed to ensure the strong synchronization. Then, the synchronization degree of middle and strong synchronizations around the border in the (g_syn, τ_syn) plane decreases, while of strong synchronization in the remaining region remains unchanged. The synchronization degree of weak synchronization increases with increasing τ_aut and g_aut, due to that the inhibitory autaptic current becomes strong and long to facilitate synchronization. The enhancement of weak synchronization modulated by inhibitory autapses is also simulated in the random, small-world, and scale-free networks, which may provide explanations to the experimental observation. These results present complex dynamics of synchronization modulated by inhibitory autapses, which needs future experimental demonstrations.

Keywords: Gamma oscillations; Inhibitory autapses; Neuronal networks; Synchronization.

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