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Summary
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Heterogeneity and noise in coupled oscillators can prevent unwanted resonances. This diversity-induced decoherence (DIDC) may explain how neural systems avoid disorders like hyperkinetic movement.

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Area of Science:

  • Computational Neuroscience
  • Complex Systems Dynamics
  • Theoretical Physics

Background:

  • Coupled excitable oscillators are fundamental to understanding neural dynamics.
  • Noise and heterogeneity are ubiquitous in biological systems, yet their precise roles in network coherence remain debated.
  • Unwanted resonances in neural networks are hypothesized to contribute to neurological disorders.

Purpose of the Study:

  • To investigate the impact of noise and heterogeneity on the coherence of coupled excitable oscillators.
  • To elucidate the mechanism by which heterogeneity influences self-induced stochastic resonance.
  • To explore the potential role of diversity-induced decoherence (DIDC) in preventing pathological neural resonances.

Main Methods:

  • Mean-field analysis was employed to study networks of coupled excitable oscillators.
  • The analysis focused on systems with strong timescale separation.
  • The interplay between small-amplitude noise, heterogeneity, and oscillation coherence was mathematically modeled.

Main Results:

  • A novel phenomenon termed diversity-induced decoherence (DIDC) was identified.
  • Heterogeneity was shown to modulate self-induced stochastic resonance, leading to inhibition of oscillation coherence.
  • The findings reveal a mechanism where heterogeneity and noise synergistically reduce coherence.

Conclusions:

  • DIDC offers a potential explanation for how generic heterogeneity and background noise prevent unwanted resonances in excitable neural systems.
  • This mechanism may be crucial in mitigating the risk of hyperkinetic movement disorders.
  • The study highlights the functional role of heterogeneity and noise in maintaining neural stability.