Michaelis–Menten kinetics as a model of doctoral supervisor–supervisee relationship
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L. H. A. Monteiro [1]
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[1] Universidade Presbiteriana Mackenzie
Universidade Presbiteriana Mackenzie
Brasil
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- Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 54, Nº. 1, 2023, págs. 145-150
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
The process of turning a doctoral student into an independent researcher is usually guided by a professor. In this work, the supervisor–supervisee relationship is represented by a scheme inspired by Michaelis–Menten kinetics, which has been used to determine the rate of enzyme-catalysed reactions. Here, the time evolution of the number of supervisors with k supervisees is modelled by a system of linear ordinary differential equations. The long-term behaviour of these equations is analytically examined and illustrated by a numerical simulation. This model related to the PhD formation catalysed by a professor can be presented in a class on differential equations or chemical kinetics.
