View in EDS PDF Full Text

Alternative Analysis of the Michaelis-Menten Equations

Saved in:
Bibliographic Details
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
FullText Links:
  – Type: pdflink
    Url: https://content.ebscohost.com/cds/retrieve?content=AQICAHj0k_4E0hTGH8RJwT4gCJyBsGNe_WN95AvKlDbXJGqwxwEvY4kHZUNZLgvt2SUV0rPPAAAA4jCB3wYJKoZIhvcNAQcGoIHRMIHOAgEAMIHIBgkqhkiG9w0BBwEwHgYJYIZIAWUDBAEuMBEEDBJT04watqTBi_zowQIBEICBmp6mn8zDToQ6j0Wr3qahMth18qVU2y3IA8UCLFb01zz1z_-XnmkjdH0J8gaj8nhUV0S7KQ3Dm8fF_92mGn5i6fZ5YCclKRieRPa8_J_2WFLF6Zza4aXnsNnjn56k6M2iB4o3Dc46dpBOba6RIX67hDZbRDmD0UNa5UCYyw0uU0N6KmeYeGmRQ98eavEySFx5YW0TF1JQmsFTEGc=
Text:
  Availability: 0
Header DbId: eric
DbLabel: ERIC
An: EJ936098
AccessLevel: 3
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Alternative Analysis of the Michaelis-Menten Equations
– Name: Language
  Label: Language
  Group: Lang
  Data: English
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Krogstad%2C+Harald+E%2E%22">Krogstad, Harald E.</searchLink><br /><searchLink fieldCode="AR" term="%22Dawed%2C+Mohammed+Yiha%22">Dawed, Mohammed Yiha</searchLink><br /><searchLink fieldCode="AR" term="%22Tegegne%2C+Tadele+Tesfa%22">Tegegne, Tadele Tesfa</searchLink>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="SO" term="%22Teaching+Mathematics+and+Its+Applications%3A+An+International+Journal+of+the+IMA%22"><i>Teaching Mathematics and Its Applications: An International Journal of the IMA</i></searchLink>. Sep 2011 30(3):138-146.
– Name: Avail
  Label: Availability
  Group: Avail
  Data: 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/
– Name: PeerReviewed
  Label: Peer Reviewed
  Group: SrcInfo
  Data: Y
– Name: PhysDesc
  Label: Physical Description
  Group: PhysDesc
  Data: PDF
– Name: Pages
  Label: Page Count
  Group: Src
  Data: 9
– Name: DatePubCY
  Label: Publication Date
  Group: Date
  Data: 2011
– Name: TypeDocument
  Label: Document Type
  Group: TypDoc
  Data: Journal Articles<br />Reports - Descriptive
– Name: Subject
  Label: Descriptors
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Student+Projects%22">Student Projects</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Models%22">Mathematical Models</searchLink><br /><searchLink fieldCode="DE" term="%22Equations+%28Mathematics%29%22">Equations (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Instruction%22">Mathematics Instruction</searchLink><br /><searchLink fieldCode="DE" term="%22Kinetics%22">Kinetics</searchLink>
– Name: DOI
  Label: DOI
  Group: ID
  Data: 10.1093/teamat/hrr012
– Name: ISSN
  Label: ISSN
  Group: ISSN
  Data: 0268-3679
– Name: Abstract
  Label: Abstract
  Group: Ab
  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.
– Name: AbstractInfo
  Label: Abstractor
  Group: Ab
  Data: As Provided
– Name: DateEntry
  Label: Entry Date
  Group: Date
  Data: 2011
– Name: AN
  Label: Accession Number
  Group: ID
  Data: EJ936098
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=eric&AN=EJ936098
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1093/teamat/hrr012
    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 9
        StartPage: 138
    Subjects:
      – SubjectFull: Student Projects
        Type: general
      – SubjectFull: Mathematical Models
        Type: general
      – SubjectFull: Equations (Mathematics)
        Type: general
      – SubjectFull: Mathematics Instruction
        Type: general
      – SubjectFull: Kinetics
        Type: general
    Titles:
      – TitleFull: Alternative Analysis of the Michaelis-Menten Equations
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Krogstad, Harald E.
      – PersonEntity:
          Name:
            NameFull: Dawed, Mohammed Yiha
      – PersonEntity:
          Name:
            NameFull: Tegegne, Tadele Tesfa
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 09
              Type: published
              Y: 2011
          Identifiers:
            – Type: issn-print
              Value: 0268-3679
          Numbering:
            – Type: volume
              Value: 30
            – Type: issue
              Value: 3
          Titles:
            – TitleFull: Teaching Mathematics and Its Applications: An International Journal of the IMA
              Type: main
ResultId 1