Characterizing the Conditions for Indefinite Growth in Open Chemical Reaction Networks
Abstract
The thermodynamic and dynamical conditions necessary to observe indefinite growth in homogeneous open chemical reaction networks (CRNs) satisfying mass action kinetics were presented in Srinivas et al. (2023): Unimolecular CRNs can only accumulate equilibrium concentrations of species while multimolecular CRNs are needed to produce indefinite growth with nonequilibrium concentrations. Within multimolecular CRNs, pseudo-unimolecular CRNs produce nonequilibrium concentrations with zero efficiencies. Nonequilibrium growth with finite efficiencies requires dynamically nonlinear CRNs. In this paper, we provide a detailed analysis supporting these results. Mathematical proofs are provided for growth in unimolecular and pseudo-unimolecular CRNs. For multimolecular CRNs, four models displaying very distinctive topological properties are extensively studied, both numerically and partly analytically.
Keywords
Cite
@article{arxiv.2310.08345,
title = {Characterizing the Conditions for Indefinite Growth in Open Chemical Reaction Networks},
author = {Shesha Gopal Marehalli Srinivas and Francesco Avanzini and Massimiliano Esposito},
journal= {arXiv preprint arXiv:2310.08345},
year = {2024}
}