A new Michaelis-Menten equation valid everywhere multi-scale dynamics prevails
From MaRDI portal
Publication:2328450
DOI10.1016/j.mbs.2019.108220zbMath1425.92098OpenAlexW2956013039WikidataQ93129135 ScholiaQ93129135MaRDI QIDQ2328450
Dimitris G. Patsatzis, Dimitrios A. Goussis
Publication date: 10 October 2019
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mbs.2019.108220
Related Items (4)
On the anti-quasi-steady-state conditions of enzyme kinetics ⋮ Natural parameter conditions for singular perturbations of chemical and biochemical reaction networks ⋮ Algorithmic criteria for the validity of quasi-steady state and partial equilibrium models: the Michaelis-Menten reaction mechanism ⋮ Algorithmic asymptotic analysis: extending the arsenal of cancer immunology modeling
Cites Work
- Unnamed Item
- Michaelis-Menten kinetics at high enzyme concentrations
- Asymptotic analysis of a target-mediated drug disposition model: algorithmic and traditional approaches
- Multiple time scale dynamics
- Quasi steady-state approximations in complex intracellular signal transduction networks - a word of caution
- Asymptotic analysis of a TMDD model: when a reaction contributes to the destruction of its product
- Predicting retinal tissue oxygenation using an image-based theoretical model
- Phase-plane geometries in coupled enzyme assays
- Enzyme kinetics at high enzyme concentration
- The total quasi-steady-state approximation for complex enzyme reactions
- On the validity of the steady state assumption of enzyme kinetics
- Geometric singular perturbation theory for ordinary differential equations
- Enzyme kinetics far from the standard quasi-steady-state and equilibrium approximations
- Theory on the rate equation of Michaelis-Menten type single-substrate enzyme catalyzed reactions
- Analysis of the computational singular perturbation reduction method for chemical kinetics
- Extending the quasi-steady state approximation by changing variables
- Geometric singular perturbation theory in biological practice
- The ``hidden dynamics of the Rössler attractor
- The total quasi-steady-state approximation for fully competitive enzyme reactions
- New trends and perspectives in nonlinear intracellular dynamics: one century from Michaelis-Menten paper
- Algorithmic asymptotic analysis of the NF-\(\kappa\mathrm B\) signaling system
- Geometry of the Computational Singular Perturbation Method
- Asymptotic Solution of Stiff PDEs with the CSP Method: The Reaction Diffusion Equation
- Fast and Slow Dynamics for the Computational Singular Perturbation Method
- The Quasi-Steady-State Assumption: A Case Study in Perturbation
- Quasi steady state and partial equilibrium approximations: their relation and their validity
- Model Reduction and Physical Understanding of Slowly Oscillating Processes: The Circadian Cycle
- Explicit time-scale splitting algorithm for stiff problems: Auto-ignition of gaseous mixtures behind a steady shock
This page was built for publication: A new Michaelis-Menten equation valid everywhere multi-scale dynamics prevails
