Mass conserved elementary kinetics is sufficient for the existence of a non-equilibrium steady state concentration

DOI10.1016/j.jtbi.2012.08.021zbMath1397.92284arXiv1109.4498OpenAlexW2591611094WikidataQ51327082 ScholiaQ51327082MaRDI QIDQ1790926

Ronan M. T. Fleming, Ines Thiele

Publication date: 4 October 2018

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.4498

zbMATH Keywords

chemical reaction networkstoichiometric consistencythermodynamic forcing

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40) Systems biology, networks (92C42)

Related Items (5)

Structural conserved moiety splitting of a stoichiometric matrix ⋮ Conditions for duality between fluxes and concentrations in biochemical networks ⋮ Reaction network realizations of rational biochemical systems and their structural properties ⋮ Globally convergent algorithms for finding zeros of duplomonotone mappings ⋮ Local convergence of the Levenberg-Marquardt method under Hölder metric subregularity

Uses Software

• rBioNet

Cites Work

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• Integrated stoichiometric, thermodynamic and kinetic modelling of steady state metabolism
• A variational principle for computing nonequilibrium fluxes and potentials in genome-scale biochemical networks
• Monotone networks
• Modeling and analysis of mass-action kinetics

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