The Michaelis-Menten-Stueckelberg theorem

DOI10.3390/e13050966zbMath1303.92152arXiv1008.3296OpenAlexW3124481478WikidataQ57384858 ScholiaQ57384858MaRDI QIDQ400860

J. Herrera, H. S. Yoon

Publication date: 26 August 2014

Published in: Entropy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3296

zbMATH Keywords

entropyLyapunov functionchemical kineticsdetailed balancecomplex balancequasiequilibrium

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20)

Related Items (9)

\textit{Maxallent}: maximizers of all entropies and uncertainty of uncertainty ⋮ Extension and justification of quasi-steady-state approximation for reversible bimolecular binding ⋮ Quasi-steady-state laws in reversible model of enzyme kinetics ⋮ On geometry of multiscale mass action law and its fluctuations ⋮ Universal Lyapunov functions for non-linear reaction networks ⋮ Stochastic transcription elongation via rule based modelling ⋮ A geometric method for model reduction of biochemical networks with polynomial rate functions ⋮ Optimization models for reaction networks: information divergence, quadratic programming and Kirchhoff's laws ⋮ Reduction of a kinetic model of active export of importins

Cites Work

• Unnamed Item
• Unnamed Item
• Entropy-related extremum principles for model reduction of dissipative dynamical systems
• Engineering model reduction and entropy-based Lyapunov functions in chemical reaction kinetics
• Entropy: the Markov ordering approach
• The macrodynamics of open systems and the variational principle of the local potential. I
• Corrections and enhancements of quasi-equilibrium states
• Partitioning techniques and lumping computation for reducing chemical kinetics. APLA: an automatic partitioning and lumping algorithm
• Symmetry of Physical Laws Part I. Symmetry in Space-Time and Balance Theorems
• Information Theory and Statistical Mechanics
• The Effect of Lumping and Expanding on Kinetic Differential Equations
• Spanning Trees and Optimization Problems
• Reciprocal Relations in Irreversible Processes. I.
• Reciprocal Relations in Irreversible Processes. II.
• The Quasi-Steady-State Assumption: A Case Study in Perturbation
• ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVES
• Markov Processes and the H-Theorem
• Principle of Detailed Balance

This page was built for publication: The Michaelis-Menten-Stueckelberg theorem