Intrinsic noise induced resonance in presence of sub-threshold signal in Brusselator

TL;DR

This paper demonstrates that intrinsic systemic noise in the Brusselator model can induce resonance phenomena, including stochastic resonance, in response to sub-threshold signals, using exact stochastic simulations.

Contribution

It shows for the first time that intrinsic noise alone can produce stochastic resonance in the Brusselator, expanding understanding of noise-induced phenomena in nonlinear systems.

Findings

Intrinsic noise can induce stochastic resonance in the Brusselator.

Resonance phenomena occur with inherent systemic noise, not just extrinsic noise.

Exact stochastic simulations confirm the role of intrinsic noise in resonance.

Abstract

In a system of non-linear chemical reactions called the Brusselator, we show that {\it intrinsic noise} can be regulated to drive it to exhibit resonance in the presence of a sub-threshold signal. The phenomena of periodic stochastic resonance and aperiodic stochastic resonance, hitherto studied mostly with extrinsic noise, is demonstrated here to occur with inherent systemic noise using exact stochastic simulation algorithm due to Gillespie. The role of intrinsic noise in a couple of other phenomena is also discussed.