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Updated: Aug 6, 2026
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Computational Modeling of Retinal Neurons for Visual Prosthesis Research - Fundamental Approaches
Published on: June 21, 2022
High-frequency effects in the FitzHugh-Nagumo neuron model
David Cubero1, J P Baltanás, Jesús Casado-Pascual
1Física Teórica, Universidad de Sevilla, Apartado de Correos 1065, Sevilla 41080, Spain. dcubero@us.es
Summary
High-frequency signals decrease firing rates in the FitzHugh-Nagumo model. Excitable behavior is suppressed above a threshold, but vibrational resonance appears with increased noise.
Area of Science:
- Computational neuroscience
- Nonlinear dynamics
Background:
- The FitzHugh-Nagumo model is a simplified mathematical model of excitable systems, often used to study neuronal firing.
- Understanding how external signals influence excitable dynamics is crucial for neuroscience and systems biology.
Purpose of the Study:
- To investigate the impact of high-frequency signal characteristics on the FitzHugh-Nagumo excitable model.
- To determine the conditions under which firing activity and excitable properties are suppressed or enhanced.
Main Methods:
- Analysis of the FitzHugh-Nagumo model under the influence of a high-frequency external signal.
- Systematic variation of the ratio between high-frequency signal amplitude and frequency.
- Examination of the system's response across different noise strength values.
Main Results:
- Increased ratio of high-frequency amplitude to frequency leads to a diminished firing rate.
- A threshold value for this ratio was identified, above which the excitable character and firing activity are suppressed.
- Vibrational resonance was observed to emerge at sufficiently high noise strengths.
Conclusions:
- High-frequency signals can significantly modulate the dynamics of excitable systems like the FitzHugh-Nagumo model.
- The interplay between signal characteristics, noise, and system parameters dictates the overall behavior, including suppression of excitability and emergence of resonance phenomena.
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