Univalent positive polynomial maps and the equilibrium state of chemical networks of reversible binding reactions

DOI10.1016/j.aam.2009.05.001zbMath1173.92038OpenAlexW1997710477MaRDI QIDQ732367

Gilles Ph. Gnacadja

Publication date: 9 October 2009

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2009.05.001

zbMATH Keywords

equilibriumP-matrixchemical reaction networkdetailed balancenormal networkcomplete networkglobal univalencereversible binding reaction

Mathematics Subject Classification ID

Related Items (9)

Catalysis in reaction networks ⋮ A Jacobian criterion for the simultaneous injectivity on positive variables of linearly parameterized polynomial maps ⋮ Lyapunov functions, stationary distributions, and non-equilibrium potential for reaction networks ⋮ Reachability, persistence, and constructive chemical reaction networks. II: A formalism for species composition in chemical reaction network theory and application to persistence ⋮ How far is complex balancing from detailed balancing? ⋮ A method to calculate binding equilibrium concentrations in the allosteric ternary complex model that supports ligand depletion ⋮ On the Bijectivity of Families of Exponential/Generalized Polynomial Maps ⋮ An invitation to pharmacostatics ⋮ Results on stochastic reaction networks with non-mass action kinetics

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