IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i7p1086-d781286.html
   My bibliography  Save this article

Rigorous Analysis of the Quasi-Steady-State Assumption in Enzyme Kinetics

Author

Listed:
  • Vasiliki Bitsouni

    (Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis, GR-15784 Athens, Greece
    These authors contributed equally to this work.)

  • Nikolaos Gialelis

    (Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis, GR-15784 Athens, Greece
    School of Medicine, National and Kapodistrian University of Athens, GR-11527 Athens, Greece
    These authors contributed equally to this work.)

  • Ioannis G. Stratis

    (Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis, GR-15784 Athens, Greece
    These authors contributed equally to this work.)

Abstract

We study, from a purely quantitative point of view, the quasi-steady-state assumption for the fundamental mathematical model of the general enzymatic reaction. In particular, ( i ) we introduce a simple, yet generic, algorithm for the proper scaling of the corresponding problem, ( ii ) we define the two essential parts (the standard and the reverse) of the quasi-steady-state assumption in a quantitative fashion, and ( iii ) we comment on the dispensable, although widely adopted, third part (the total) of it.

Suggested Citation

  • Vasiliki Bitsouni & Nikolaos Gialelis & Ioannis G. Stratis, 2022. "Rigorous Analysis of the Quasi-Steady-State Assumption in Enzyme Kinetics," Mathematics, MDPI, vol. 10(7), pages 1-29, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1086-:d:781286
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/7/1086/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/7/1086/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Eberhard O Voit & Harald A Martens & Stig W Omholt, 2015. "150 Years of the Mass Action Law," PLOS Computational Biology, Public Library of Science, vol. 11(1), pages 1-7, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mathias Foo & Declan G Bates & Ozgur E Akman, 2020. "A simplified modelling framework facilitates more complex representations of plant circadian clocks," PLOS Computational Biology, Public Library of Science, vol. 16(3), pages 1-34, March.
    2. Kaitaniemi, Pekka & Lintunen, Anna & Sievänen, Risto, 2020. "Power-law estimation of branch growth," Ecological Modelling, Elsevier, vol. 416(C).
    3. Vinh Q. Mai & Martin Meere, 2021. "Modelling the Phosphorylation of Glucose by Human hexokinase I," Mathematics, MDPI, vol. 9(18), pages 1-24, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1086-:d:781286. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.