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Double coherence resonance in neuron models driven by discrete correlated noise
Thomas Kreuz1, Stefano Luccioli, Alessandro Torcini
1Istituto dei Sistemi Complessi-CNR, Sesto Fiorentino, Italy. thomas.kreuz@fi.isc.cnr.it
Physical Review Letters
|February 7, 2007
Summary
Correlated inputs to the FitzHugh-Nagumo neuron model can enhance signal regularity, showing coherence resonance. Optimal noise and correlation levels reveal double coherence resonance, a key finding for understanding neural signal processing.
Area of Science:
- Computational neuroscience
- Nonlinear dynamics
- Stochastic processes
Background:
- The FitzHugh-Nagumo model is a simplified mathematical model of neuron action potentials.
- Understanding how correlated inputs influence neuronal firing is crucial for neuroscience.
- Stochastic resonance is a phenomenon where noise can enhance signal detection in nonlinear systems.
Purpose of the Study:
- To investigate the impact of correlated discrete excitatory or inhibitory inputs on the FitzHugh-Nagumo neuron model's response.
- To identify and characterize coherence resonance and double coherence resonance phenomena.
- To explain these effects based on the discrete nature of the input signals.
Main Methods:
- Utilizing the FitzHugh-Nagumo neuron model.
- Simulating discrete stochastic excitatory and inhibitory inputs with varying correlation levels.
- Analyzing the emitted signal's regularity and coherence in response to different noise intensities and correlations.
Main Results:
- Coherence resonance was observed, where maximal signal regularity occurs at a finite noise intensity for any correlation level.
- Double coherence resonance was identified for both excitatory and inhibitory correlated stimuli.
- Optimal noise variance and correlation were found to produce an absolute maximum coherence in the output.
Conclusions:
- Correlations in discrete inputs significantly influence neuronal responses, leading to coherence resonance.
- The discrete nature of inputs is key to explaining the observed coherence resonance and double coherence resonance.
- These findings offer insights into how neural systems process information under noisy and correlated input conditions.
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