High-frequency effects in the FitzHugh-Nagumo neuron model
David Cubero (1), Jos\'e Pablo Baltan\'as (2), Jes\'us Casado-Pascual, ((1) F\'isica Te\'orica, Universidad de Sevilla, Spain, (2) Departamento de, Matem\'aticas y F\'isica Aplicadas y Ciencias de la Naturaleza, Universidad, Rey Juan Carlos, Madrid, Spain)

TL;DR
This paper investigates how high-frequency signals influence the FitzHugh-Nagumo neuron model, revealing suppression of firing activity and the emergence of vibrational resonance at certain noise levels.
Contribution
It provides new insights into the effects of high-frequency signals on neuronal excitability and demonstrates vibrational resonance phenomena in the model.
Findings
Firing rate decreases with increasing high-frequency amplitude-to-frequency ratio.
Excitable behavior is suppressed above a certain ratio threshold.
Vibrational resonance appears at high noise strengths.
Abstract
The effect of a high-frequency signal on the FitzHugh-Nagumo excitable model is analyzed. We show that the firing rate is diminished as the ratio of the high-frequency amplitude to its frequency is increased. Moreover, it is demonstrated that the excitable character of the system, and consequently the firing activity, is suppressed for ratios above a given threshold value. In addition, we show that the vibrational resonance phenomenon turns up for sufficiently large noise strength values.
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