Stability analysis of the Michaelis-Menten approximation of a mixed mechanism of a phosphorylation system

DOI10.1016/j.mbs.2018.05.001zbMath1392.92035OpenAlexW2801873640WikidataQ64124880 ScholiaQ64124880MaRDI QIDQ1644718

Shodhan Rao

Publication date: 22 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.mbs.2018.05.001

zbMATH Keywords

Michaelis-Menten enzyme kineticsmass action kineticsLyapunov methodsmultisite phosphorylationPoincaré Bendixson theoremsteady state approach

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45)

Related Items (4)

Emergence of oscillations in a mixed-mechanism phosphorylation system ⋮ Global dynamics of healthy and cancer cells competing in the hematopoietic system ⋮ Precluding oscillations in Michaelis-Menten approximations of dual-site phosphorylation systems ⋮ Michaelis-Menten networks are structurally stable

Cites Work

• Unnamed Item
• Global stability of a class of futile cycles
• A proof of bistability for the dual futile cycle
• On the number of steady states in a multiple futile cycle
• Singularly perturbed monotone systems and an Application to double phosphorylation cycles
• On the validity of the steady state assumption of enzyme kinetics
• The existence and uniqueness of steady states for a class of chemical reaction networks
• A global convergence result for processive multisite phosphorylation systems
• An all-encompassing global convergence result for processive multisite phosphorylation systems
• Multistationarity in sequential distributed multisite phosphorylation networks
• A graph-theoretical approach for the analysis and model reduction of complex-balanced chemical reaction networks
• A Proof of the Global Attractor Conjecture in the Single Linkage Class Case
• Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction
• Global stability of complex balanced mechanisms

This page was built for publication: Stability analysis of the Michaelis-Menten approximation of a mixed mechanism of a phosphorylation system