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Alternative Analysis of the Michaelis-Menten Equations

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Title: Alternative Analysis of the Michaelis-Menten Equations
Language: English
Authors: Krogstad, Harald E., Dawed, Mohammed Yiha, Tegegne, Tadele Tesfa
Source: Teaching Mathematics and Its Applications: An International Journal of the IMA. Sep 2011 30(3):138-146.
Availability: Oxford University Press. Great Clarendon Street, Oxford, OX2 6DP, UK. Tel: +44-1865-353907; Fax: +44-1865-353485; e-mail: jnls.cust.serv@oxfordjournals.org; Web site: http://teamat.oxfordjournals.org/
Peer Reviewed: Y
Physical Description: PDF
Page Count: 9
Publication Date: 2011
Document Type: Journal Articles
Reports - Descriptive
Descriptors: Student Projects, Mathematical Models, Equations (Mathematics), Mathematics Instruction, Kinetics
DOI: 10.1093/teamat/hrr012
ISSN: 0268-3679
Abstract: Courses in mathematical modelling are always in need of simple, illustrative examples. The Michaelis-Menten reaction kinetics equations have been considered to be a basic example of scaling and singular perturbation. However, the leading order approximations do not easily show the expected behaviour, and this note proposes a different perturbation approach to the same equations. The alternative analysis contains regular as well as singular perturbation and shows a simple case where a two-scale singular perturbation solution is insufficient. Additional analyses suitable for student projects are outlined.
Abstractor: As Provided
Entry Date: 2011
Accession Number: EJ936098
Database: ERIC
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  Data: Courses in mathematical modelling are always in need of simple, illustrative examples. The Michaelis-Menten reaction kinetics equations have been considered to be a basic example of scaling and singular perturbation. However, the leading order approximations do not easily show the expected behaviour, and this note proposes a different perturbation approach to the same equations. The alternative analysis contains regular as well as singular perturbation and shows a simple case where a two-scale singular perturbation solution is insufficient. Additional analyses suitable for student projects are outlined.
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