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Michaelis-Menten Kinetics as a Model of Doctoral Supervisor-Supervisee Relationship

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Bibliographic Details
Title: Michaelis-Menten Kinetics as a Model of Doctoral Supervisor-Supervisee Relationship
Language: English
Authors: Monteiro, L. H. A. (ORCID 0000-0002-2309-1254)
Source: International Journal of Mathematical Education in Science and Technology. 2023 54(1):145-150.
Availability: Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Peer Reviewed: Y
Page Count: 6
Publication Date: 2023
Document Type: Journal Articles
Reports - Evaluative
Education Level: Higher Education
Postsecondary Education
Descriptors: Models, Kinetics, Equations (Mathematics), Chemistry, Scientific Concepts, Supervisor Supervisee Relationship, Doctoral Students, College Faculty, Simulation, Teaching Methods
DOI: 10.1080/0020739X.2022.2035002
ISSN: 0020-739X
1464-5211
Abstract: 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.
Abstractor: As Provided
Entry Date: 2023
Accession Number: EJ1377597
Database: ERIC
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Description
Abstract: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.
ISSN:0020-739X
1464-5211
DOI:10.1080/0020739X.2022.2035002