On the steady states of weakly reversible chemical reaction networks

2011/11/10 by Jian Deng, Deng, Jian, Christopher R. Jones +5 · 1 citation
Biochemistry, Genetics and Molecular Biology · #Chemical Physics (physics.chem-ph) #FOS: Biological sciences #FOS: Physical sciences #Gene Regulatory Network Analysis #Microbial Metabolic Engineering and Bioproduction #Protein Structure and Dynamics #Quantitative Methods (q-bio.QM)

paper · pdf · doi:10.48550/arxiv.1111.2386

openalex publication_date 2011/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A natural condition on the structure of the underlying chemical reaction network, namely weak reversibility, is shown to guarantee the existence of an equilibrium (steady state) in each positive stoichiometric compatibility class for the associated mass-action system. Furthermore, an index formula is given for the set of equilibria in a given stoichiometric compatibility class.

Cited by

• Persistence and permanence of mass-action and power-law dynamical\n systems
• The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems

Related

• Existence of Positive Steady States for Mass Conserving and Mass-Action Chemical Reaction Networks with a Single Terminal-Linkage Class
• An efficient characterization of complex-balanced, detailed-balanced,\n and weakly reversible systems
• The smallest multistationary mass-preserving chemical reaction network
• The detailed balance property and chemical systems out of equilibrium
• Computing weakly reversible realizations of chemical reaction networks