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This study reveals that substrate inhibition biochemical networks show strong nonlinear responses to periodic driving. These findings highlight potential nonequilibrium effects in metabolic and synthetic networks.

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Area of Science:

  • Biochemistry
  • Chemical Kinetics
  • Nonlinear Dynamics

Background:

  • Substrate inhibition is a key regulatory mechanism in biochemical reaction networks.
  • Understanding the response of these networks to periodic environmental changes is crucial for metabolic engineering and synthetic biology.

Purpose of the Study:

  • To investigate the current response of substrate inhibition networks under periodic driving.
  • To analyze the nonlinear dynamics and nonequilibrium effects in these systems.

Main Methods:

  • Modeling substrate inhibition with periodic modulation of product concentration.
  • Employing coarse-graining techniques to derive an analytic formula for the mean time-averaged current.
  • Utilizing a large deviation approach to study stochastic dynamics and fluctuations.

Main Results:

  • The system exhibits a strong nonlinear response to low driving frequencies for both mean current and fluctuations.
  • An analytic, nonperturbative formula was derived for the mean time-averaged current.
  • Resonant effects were observed in the time-averaged variance and signal-to-noise ratio.

Conclusions:

  • Periodic driving can induce significant nonlinear and nonequilibrium effects in substrate inhibition networks.
  • These findings have implications for the design and understanding of metabolic and synthetic biological systems.