Trade-offs between number fluctuations and response in nonequilibrium chemical reaction networks

Hyun-Myung Chun; Jordan M Horowitz

doi:10.1063/5.0148662

Trade-offs between number fluctuations and response in nonequilibrium chemical reaction networks

J Chem Phys. 2023 May 7;158(17):174115. doi: 10.1063/5.0148662.

Authors

Hyun-Myung Chun¹, Jordan M Horowitz^{2

3

4}

Affiliations

¹ School of Physics, Korea Institute for Advanced Study, Seoul 02455, South Korea.
² Department of Biophysics, University of Michigan, Ann Arbor, Michigan 48109, USA.
³ Center for the Study of Complex Systems, University of Michigan, Ann Arbor, Michigan 48104, USA.
⁴ Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA.

PMID: 37144710
DOI: 10.1063/5.0148662

Abstract

We study the response of chemical reaction networks driven far from equilibrium to logarithmic perturbations of reaction rates. The response of the mean number of a chemical species is observed to be quantitively limited by number fluctuations and the maximum thermodynamic driving force. We prove these trade-offs for linear chemical reaction networks and a class of nonlinear chemical reaction networks with a single chemical species. Numerical results for several model systems support the conclusion that these trade-offs continue to hold for a broad class of chemical reaction networks, though their precise form appears to sensitively depend on the deficiency of the network.