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.

arXiv comment10 pages, 7 figures Updated fig.5 and appendix with geometric effects

References in corpus (13)

• The large deviation approach to statistical mechanics
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Predator-prey cycles from resonant amplification of demographic stochasticity
• Absolute negative mobility induced by thermal equilibrium fluctuations
• Discrete-time thermodynamic uncertainty relation
• An update on nonequilibrium linear response
• Thermodynamic Efficiency in Dissipative Chemistry
• Conservation Laws and Work Fluctuation Relations in Chemical Reaction Networks
• Large deviations and dynamical phase transitions in stochastic chemical networks
• Current fluctuations in periodically driven systems
• Negative differential response in chemical reactions
• Modulated two-level system : Exact work statistics
• Information thermodynamics for interacting stochastic systems without bipartite structure

Cited by in corpus (5)

• Beyond Thermodynamic Uncertainty Relations: nonlinear response, error-dissipation trade-offs, and speed limits
• Linear Stochastic Thermodynamics
• Deficiency, Kinetic Invertibility, and Catalysis in Stochastic Chemical Reaction Networks
• What is a chemostat? Insights from hybrid dynamics and stochastic thermodynamics
• Information Thermodynamics for Deterministic Chemical Reaction Networks