Based on the quasi-steady-state approximation, a closed form solution for the total time evolution of the reactant concentrations in the basic enzyme-substrate reaction is reported for the first time. Such a solution is given in terms of the omega function, which satisfies the transcendental equatio
Time-dependent Closed Form Solutions for Fully Competitive Enzyme Reactions
โ Scribed by S. Schnell; C. Mendoza
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 149 KB
- Volume
- 62
- Category
- Article
- ISSN
- 1522-9602
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โฆ Synopsis
An analytic formalism developed earlier to describe the time evolution of the basic enzyme reaction is extended to fully competitive systems. Time-dependent closed form solutions are derived for the three nominal cases of competition: even, slow and fast inhibitors, allowing for the first time the complete characterization of the reactions. In agreement with previous work, the time-independent Michaelis-Menten approach is shown to be inaccurate when a fast inhibitor is present. The validity of the quasi-steady-state approximation on which the present framework is based is also revised.
๐ SIMILAR VOLUMES
The closed-form solution for the forced vibration of a non-uniform plate with distributed time-dependent boundary conditions is obtained. Three Levy-type solutions for a plate with di!erent boundary conditions are studied. The two-dimensional system is transformed so that it becomes a one-dimensiona