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Published in: Cognitive Neurodynamics 6/2022

01-04-2022 | Research Article

Geometric characterization of dynamical structure for neural firing activities induced by inhibitory pulse

Published in: Cognitive Neurodynamics | Issue 6/2022

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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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Literature
go back to reference Moehlis J (2008) Dynamical Systems in Neuroscience: The geometry of excitability and bursting. JSTOR Moehlis J (2008) Dynamical Systems in Neuroscience: The geometry of excitability and bursting. JSTOR
go back to reference Rinzel J, Ermentrout GB (1998) Analysis of neural excitability and oscillations. Methods Neuronal Model 2:251–292 Rinzel J, Ermentrout GB (1998) Analysis of neural excitability and oscillations. Methods Neuronal Model 2:251–292
Metadata
Title
Geometric characterization of dynamical structure for neural firing activities induced by inhibitory pulse
Publication date
01-04-2022
Published in
Cognitive Neurodynamics / Issue 6/2022
Print ISSN: 1871-4080
Electronic ISSN: 1871-4099
DOI
https://doi.org/10.1007/s11571-022-09799-x

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