The existence of stable limit cycles for enzyme catalyzed reactions with positive feedback

DOI10.1016/0025-5564(79)90081-6zbMath0399.92008OpenAlexW1991607355MaRDI QIDQ1254962

Theodor Plesser, Karl Heinz Mayer, Dieter Erle

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0025-5564(79)90081-6

zbMATH Keywords

Enzyme Catalyzed ReactionsExistence of Observable OscillationsExistence of Stable Limit CyclesFirst Order Differential EquationsPositive Feedback

Mathematics Subject Classification ID

Physiological, cellular and medical topics (92Cxx) Chemistry (92Exx)

Related Items (13)

Boundedness and stable oscillations in two-dimensional enzyme reduced systems ⋮ Bogdanov-Takens bifurcations in the enzyme-catalyzed reaction comprising a branched network ⋮ Qualitative analysis of a generalized system of saturated enzyme reactions ⋮ Local bifurcations of an enzyme-catalyzed reaction system with cubic rate law ⋮ Globally attractive oscillations in open monosubstrate allosteric enzyme reactions ⋮ Periodic solutions and dynamics of a multimolecular reaction system ⋮ Nonuniqueness of stable limit cycles in a class of enzyme catalyzed reactions ⋮ Local Bifurcations of the Enzyme-Catalyzed Reaction Comprising a Branched Network ⋮ Stability of biochemical reaction tanks ⋮ Scaling in biochemical kinetics: Dissection of a relaxation oscillator ⋮ On the pseudo-steady-state approximation and Tikhonov theorem for general enzyme systems ⋮ Bifurcations of a polynomial differential system of degree \(n\) in biochemical reactions ⋮ Degenerate equilibria at infinity in the generalized Brusselator

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• The effects of cell density and metabolite flux on cellular dynamics
• Stable closed orbits in plane autonomous dynamical systems.
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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