Alternative analysis of the Michaelis–Menten equations

Harald E. Krogstad ^[1] ; Mohammed Yiha Dawed ^[2] ; Tadele Tesfa Tegegne ^[2]
1. [1] Department of Mathematical Sciences
2. [2] Mathematical and Physical Sciences
Localización: Teaching mathematics and its applications, ISSN 0268-3679, Vol. 30, Nº. 3, 2011, págs. 138-146
Idioma: inglés
DOI: 10.1093/teamat/hrr012
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Resumen
- Courses in mathematical modelling are always in need of simple, illustrative examples. The Michaelis–Menten reaction kinetics equations have been considered to be a basic example of scaling and singular perturbation. However, the leading order approximations do not easily show the expected behaviour, and this note proposes a different perturbation approach to the same equations. The alternative analysis contains regular as well as singular perturbation and shows a simple case where a two-scale singular perturbation solution is insufficient. Additional analyses suitable for student projects are outlined.