Size does matter: Stochastic simulations and chemical Langevin equations were used to investigate the effects of system size on the oscillatory behavior of the Brusselator model. In the region close to the deterministic oscillatory dynamics, stochastic oscillations are observed. Interestingly, an optimal system size exists for such stochastic oscillations, characterized by a clear maximum in the signal-to-noise ratio (SNR) as a function of system size V (see picture). This result may have interesting implications for biological rhythms and signaling processes.
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Hou et al. (2004) studied this question.
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