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

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dc.contributor.authorMonteiro L.H.A.
dc.date.accessioned2024-03-12T19:12:51Z
dc.date.available2024-03-12T19:12:51Z
dc.date.issued2023
dc.description.abstract© 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.
dc.description.firstpage145
dc.description.issuenumber1
dc.description.lastpage150
dc.description.volume54
dc.identifier.doi10.1080/0020739X.2022.2035002
dc.identifier.issn1464-5211
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/34252
dc.relation.ispartofInternational Journal of Mathematical Education in Science and Technology
dc.rightsAcesso Restrito
dc.subject.otherlanguageChemical kinetics
dc.subject.otherlanguagedifferential equation
dc.subject.otherlanguagedoctoral supervision
dc.subject.otherlanguagedynamical system
dc.subject.otherlanguageMichaelis–Menten model
dc.subject.otherlanguagePhD student
dc.titleMichaelis–Menten kinetics as a model of doctoral supervisor–supervisee relationship
dc.typeArtigo
local.scopus.citations0
local.scopus.eid2-s2.0-85125201268
local.scopus.updated2024-12-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85125201268&origin=inward
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