On the pseudo-steady-state approximation and Tikhonov theorem for general enzyme systems

DOI10.1016/0025-5564(85)90039-2zbMath0581.92010OpenAlexW2074319787MaRDI QIDQ1068751

Claudio Lazzari, Flaviano Battelli

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0025-5564(85)90039-2

zbMATH Keywords

stabilityuniquenesssteady state solutionsadiabatic approximationTikhonov's theorempseudo-steady-state approximationenzymatic networksgeneral closed enzyme systemsligand stoichiometrynonlinear autonomous differential equationsopen enzyme systemsPSSA

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) Physiological, cellular and medical topics (92Cxx)

Related Items (5)

Boundedness and stable oscillations in two-dimensional enzyme reduced systems ⋮ Asymptotic expansions obtained by a center manifold theorem ⋮ Heineken, Tsuchiya and Aris: ``On the mathematical status of the pseudo-steady state hypothesis. A classic from Volume 1 of \textit{Mathematical Biosciences} ⋮ Behavioral plasticity and virus propagation: the FIV-cat population example ⋮ Minimization of intermediate concentrations as a suggested optimality principle for biochemical networks. II: Time hierarchy, enzymatic rate laws, and erythrocyte metabolism

Cites Work

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• Conditions for the application of the steady-state approximation to systems of differential equations
• Chemical mechanism structure and the coincidence of the stoichiometric and kinetie subspaces
• The existence of stable limit cycles for enzyme catalyzed reactions with positive feedback
• Stability in systems with parameter
• ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVES
• Singular Perturbations on the Infinite Interval

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