The Total Quasi-Steady-State Approximation for Fully Competitive Enzyme Reactions
- 19 July 2006
- journal article
- Published by Springer Nature in Bulletin of Mathematical Biology
- Vol. 69 (1) , 433-457
- https://doi.org/10.1007/s11538-006-9136-2
Abstract
The validity of the Michaelis–Menten–Briggs–Haldane approximation for single enzyme reactions has recently been improved by the formalism of the total quasi-steady-state approximation. This approach is here extended to fully competitive systems, and a criterion for its validity is provided. We show that it extends the Michaelis–Menten–Briggs–Haldane approximation for such systems for a wide range of parameters very convincingly, and investigate special cases. It is demonstrated that our method is at least roughly valid in the case of identical affinities. The results presented should be useful for numerical simulations of many in vivo reactions.Keywords
This publication has 29 references indexed in Scilit:
- Cellular concentrations of enzymes and their substratesPublished by Elsevier ,2006
- On the validity of the quasi-steady state approximation of bimolecular reactions in solutionJournal of Theoretical Biology, 2005
- Stochastic approaches for modelling in vivo reactionsComputational Biology and Chemistry, 2004
- A Century of Enzyme Kinetics: Reliability of the K M and v max EstimatesPublished by Taylor & Francis ,2003
- The Mechanism of Dephosphorylation of Extracellular Signal-regulated Kinase 2 by Mitogen-activated Protein Kinase Phosphatase 3Published by Elsevier ,2001
- Emergent Properties of Networks of Biological Signaling PathwaysScience, 1999
- Theoretical Description of the Polymerase Chain ReactionJournal of Theoretical Biology, 1997
- Enzymological Considerations for the Theoretical Description of the Quantitative Competitive Polymerase Chain Reaction (QC-PCR)Journal of Theoretical Biology, 1997
- A computer analysis of the validity of the integrated Michaelis-Menten equationJournal of Theoretical Biology, 1979
- Time-dependent Michaelis-Menten kinetics for an enzyme-substrate-inhibitor systemJournal of the American Chemical Society, 1970