The existence of stable limit cycles for enzyme catalyzed reactions with positive feedback
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Publication:1254962
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
Enzyme Catalyzed ReactionsExistence of Observable OscillationsExistence of Stable Limit CyclesFirst Order Differential EquationsPositive Feedback
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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