Coherence resonance due to transient thresholds in excitable systems.

Ramana Dodla, Charles J Wilson
Author Information
  1. Ramana Dodla: Department of Biology, University of Texas at San Antonio, 78249, USA.

Abstract

Excitable systems can have more than one response threshold, but accessing each of these is only facilitated by preferential choice of the appropriate components in the input noise. The coherence resonance phenomenon discovered by Pikovsky and Kurths [Phys. Rev. Lett. 78, 775 (1997)] utilizes only one response threshold, thus leaving the nature of the dynamics of a possible second threshold unspecified. Here we show using a FitzHugh-Nagumo excitable system that the second response threshold can be reached transiently by brief pulses in the negative noise component, leading to a coherence resonance phenomenon of its own. The resonance can occur both as a function of input amplitude and frequency. The phenomenon is also illustrated in more realistic Hodgkin-Huxley model equations, and analytical predictions are made using probabilistic considerations of the input. This phenomenon attributes more complex role noise can play in excitable systems.

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Grants

  1. P50 NS047085/NINDS NIH HHS
  2. P50 NS047085-050004/NINDS NIH HHS
  3. NS47085/NINDS NIH HHS

MeSH Term

Action Potentials
Animals
Cell Membrane
Computer Simulation
Differential Threshold
Humans
Membrane Potentials
Models, Neurological
Models, Statistical
Neurons

Word Cloud

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