Michaelis–Menten kinetics as a model of doctoral supervisor–supervisee relationship
Tipo
Artigo
Data de publicação
2023
Periódico
International Journal of Mathematical Education in Science and Technology
Citações (Scopus)
0
Autores
Monteiro L.H.A.
Orientador
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ISSN da Revista
Título de Volume
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Resumo
© 2022 Informa UK Limited, trading as Taylor & Francis Group.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.