Strong current response to slow modulation: a metabolic case-study
Abstract
We study the current response to periodic driving of a crucial biochemical reaction network, namely, substrate inhibition. We focus on the conversion rate of substrate into product under time-varying metabolic conditions, modeled by a periodic modulation of the product concentration. We find that the system exhibits a strong nonlinear response to small driving frequencies both for the mean time-averaged current and for the fluctuations. For the first, we obtain an analytic formula by coarse-graining the original model to a solvable one. The result is nonperturbative in the modulation amplitude and frequency. We then refine the picture by studying the stochastic dynamics of the full system using a large deviations approach, that allows to show the resonant effect at the level of the time-averaged variance and signal-to-noise ratio. Finally, we discuss how this nonequilibrium effect may play a role in metabolic and synthetic networks.
Cite
@article{arxiv.1912.09730,
title = {Strong current response to slow modulation: a metabolic case-study},
author = {Danilo Forastiere and Gianmaria Falasco and Massimiliano Esposito},
journal= {arXiv preprint arXiv:1912.09730},
year = {2020}
}
Comments
10 pages, 7 figures Updated fig.5 and appendix with geometric effects