Harald E. Krogstad, Mohammed Yiha Dawed, Tadele Tesfa Tegegne
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.
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