Coordination restriction of enzyme–catalysed reaction systems as nonlinear dynamical systems

DOI10.1098/rspa.1999.0313zbMath0926.92019OpenAlexW1969759792MaRDI QIDQ4260254

Junli Liu

Publication date: 28 November 1999

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1999.0313

zbMATH Keywords

signal processingforced systemsbiochemical oscillationssystem coordinationcoordination restrictionenzyme saturation

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45)

Related Items (11)

Bogdanov-Takens bifurcations in the enzyme-catalyzed reaction comprising a branched network ⋮ Local bifurcations of an enzyme-catalyzed reaction system with cubic rate law ⋮ Bifurcations and asymptotic behavior of positive steady-states of an enzyme-catalyzed reaction–diffusion system ⋮ Global stability of the attracting set of an enzyme-catalysed reaction system ⋮ SUFFICIENT CONDITIONS FOR COORDINATION OF A FORCED BIOCHEMICAL SYSTEM WITH THE INTERPLAY OF ACTIVATION AND INHIBITION ⋮ Bifurcation analysis of an enzyme-catalyzed reaction-diffusion system ⋮ Collapse of single stable states via a fractal attraction basin: analysis of a representative metabolic network ⋮ Bifurcation Analysis of an Enzyme Reaction System with General Power of Autocatalysis ⋮ Sufficient Conditions for Coordination of Coupled Nonlinear Biochemical Systems: Analysis of a Simple, Representative Example ⋮ Local Bifurcations of the Enzyme-Catalyzed Reaction Comprising a Branched Network ⋮ Existence and uniqueness of limit cycles in an enzyme-catalysed reaction system.

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