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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Published on: June 8, 2018

Frequency enhancement in coupled noisy excitable elements.

Wei-Yin Chiang¹, Pik-Yin Lai, C K Chan

¹Department of Physics, Graduate Institute of Biophysics, and Center for Complex Systems, National Central University, Chungli, Taiwan 320, Republic of China.

Physical Review Letters

|July 21, 2011

Summary

Coupled FitzHugh-Nagumo elements with noise show enhanced frequencies and synchronization. An unexpected peak in frequency enhancement occurs before synchronization, explained by a potential barrier model and validated by cardiac cell experiments.

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Area of Science:

Computational Neuroscience
Nonlinear Dynamics
Biophysics

Background:

The FitzHugh-Nagumo model is a simplified model of excitable systems, often used to study neuronal and cardiac dynamics.
Coupling and noise are crucial factors influencing the behavior of excitable systems.
Synchronization phenomena in coupled oscillators are of significant interest in various scientific fields.

Purpose of the Study:

To investigate the oscillatory dynamics of coupled excitable FitzHugh-Nagumo elements under the influence of noise.
To analyze the effect of coupling strength on frequency enhancement and synchronization.
To understand the underlying mechanisms of the observed phenomena through an analytic model.

Main Methods:

Numerical simulations of coupled FitzHugh-Nagumo elements with varying coupling strengths and in the presence of noise.
Development of an analytic model based on excitation across a potential barrier.
Comparison of simulation results with experimental data from cultured cardiac cells.

Main Results:

Coupled elements exhibit enhanced frequencies and synchronize at a higher frequency than uncoupled elements.
An unexpected peak in frequency enhancement was observed as coupling strength increased, prior to synchronization.
The analytic model quantitatively reproduced the simulation results and the experimental observations of beating rates.

Conclusions:

The study elucidates the complex interplay between coupling strength, noise, and oscillatory dynamics in excitable systems.
The findings provide a theoretical framework for understanding frequency enhancement and synchronization in coupled FitzHugh-Nagumo elements.
The model's ability to replicate experimental data suggests its validity for describing phenomena in biological systems like cardiac cells.