Reaction networks and kinetics of biochemical systems

DOI10.1016/j.mbs.2016.10.004zbMath1366.92054OpenAlexW2548708969WikidataQ50552672 ScholiaQ50552672MaRDI QIDQ730278

Carlene Perpetua P. Arceo, Eduardo R. Mendoza, Angelyn R. Lao, Editha C. Jose

Publication date: 27 December 2016

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2016.10.004

zbMATH Keywords

chemical reaction networkcomplex factorizable kineticsembedded kinetic systemembedded representationkinetic subspacekinetics setpower law kineticsspan surjective kineticstotal kinetic systemtotal representation

Mathematics Subject Classification ID

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

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Cites Work

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• Complex-linear invariants of biochemical networks
• Biochemical systems theory: a review
• Chemical reaction network approaches to biochemical systems theory
• Chemical mechanism structure and the coincidence of the stoichiometric and kinetie subspaces
• Concordant chemical reaction networks
• Atoms of multistationarity in chemical reaction networks
• On the existence of the positive steady states of weakly reversible deficiency-one mass action systems
• Power-Law Kinetics and Determinant Criteria for the Preclusion of Multistationarity in Networks of Interacting Species
• Generalized Mass-Action Systems and Positive Solutions of Polynomial Equations with Real and Symbolic Exponents (Invited Talk)
• Generalized Mass Action Systems: Complex Balancing Equilibria and Sign Vectors of the Stoichiometric and Kinetic-Order Subspaces

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