Abstract
In general, inhibitory stimuli are thought to inhibit neuronal firing, but they may actually enhance firing sometimes, such as post-inhibitory rebound spike (PIR spike) and post-inhibitory facilitation (PIF) phenomena, which play an important role in human neuronal activities. We study responses to inhibitory pulse in a classical neuron model (Quartic adaptive Integrate-and-fire model) well known to reproduce a number of biologically realistic behaviors. The three phenomena that we study are PIR, in which a neuron fires after an inhibitory pulse, and PIF, in which a subthreshold excitatory input can induce a spike if it is applied with proper timing after an inhibitory pulse, as well as period firing after inhibitory pulse. When the system features focus and saddle two equilibriums, the three phenomena will be occurred under the inhibitory pulse, while all three phenomena will not be induced when the system features node and saddle two equilibriums. Using dynamical systems theory, we explain the threshold mechanism of enhancement of neural firing response induced by inhibitory pulse and analyze the origin of these phenomena from several factors. We also describe the geometric characterization of dynamical structures of these three phenomena. This study therefore enrich the paradoxical phenomena that induced by inhibitory input and advance our understanding of its role.
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The datasets generated during and analysed during the current study are available from the corresponding author on reasonable request.
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Funding
Funding was received from the National Natural Science Foundation of China (No.11872154), Natural Science Foundation of Guangxi Province (No.2018 GXNSFAA281340, No.2021 GXNSFAA196076) and The special foundation for Guangxi BaGui Scholars.
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Jieqiong Xu conceived and designed the study, performed the study, analyzed the data, authored or reviewed drafts of the paper, and approved the final draft. Junjie Wang, Jianmei Wu and Qixiang Xu analyzed the data, authored or reviewed drafts of the paper, and approved the final draft.
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Wang, J., Xu, J., Wu, J. et al. Geometric characterization of dynamical structure for neural firing activities induced by inhibitory pulse. Cogn Neurodyn 16, 1505–1524 (2022). https://doi.org/10.1007/s11571-022-09799-x
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DOI: https://doi.org/10.1007/s11571-022-09799-x