Michaelis–Menten kinetics as a model of doctoral supervisor–supervisee relationship

• L. H. A. Monteiro ^[1]
  1. [1] Universidade Presbiteriana Mackenzie

     Universidade Presbiteriana Mackenzie

     Brasil

     
• 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 ...)
• 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.