Bifurcation and negative self-feedback mechanisms for enhanced spike-timing precision of inhibitory interneurons

Bifurcation and negative self-feedback mechanisms for enhanced spike-timing precision of inhibitory interneurons

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A high spike-timing precision characterized by a small variation in interspike intervals of OCTOPUS: operation control system for task optimization and job parallelization via a user-optimal scheduler neurons is important for information processing in various brain functions.An experimental study on fast-spiking interneurons has shown that inhibitory autapses functioning as negative self-feedback can enhance spike-timing precision.In the present paper, bifurcation and negative self-feedback mechanisms for the enhanced spike-timing precision to stochastic modulations are obtained in two theoretical models, presenting theoretical explanations to the experimental finding.For stochastic spikes near both the saddle-node bifurcation on an invariant cycle (SNIC) and the subcritical Hopf (SubH) bifurcation with classes 1 and 2 excitabilities, respectively, enhanced spike-timing precision appears in large ranges of the conductance and the decaying rate of inhibitory autapses, closely matching the experimental observation.The inhibitory autaptic current reduces the membrane potential after a spike to a level lower than that in the absence of inhibitory autapses and the threshold to evoke the next spike, making it more difficult for stochastic modulations to affect spike Semi-Analytical Option Pricing Under Double Heston Jump-Diffusion Hybrid Model timings, and thereby enhancing spike-timing precision.

In addition, firing frequency near the SubH bifurcation is more robust than that near the SNIC bifurcation, resulting in a higher spike-timing precision for the SubH bifurcation.The bifurcation and negative self-feedback mechanisms for the enhanced spike-timing precision present potential measures to modulate the neuronal dynamics or the autaptic parameters to adjust the spike-timing precision.