Feedback and reversibility in substrate-enzyme reactions as discrete event models

D.A.J. Zwieten, van, J.E. Rooda, H.D. Armbruster, J.D. Nagy

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    Abstract

    A dierent approach in modeling reactions between substrate molecules and enzymes is presented in this report. The reactions are modeled using a discrete event model (DEM), mostly used in manufacturing or queueing systems. The DEM has been validated with the most used approach to modeling substrate-enzyme reactions, a set of ordinary dierential equations (ODEs). The substrate-enzyme model is extended with feedback of substrate and=or product molecules on the enzyme, resulting in inhibition or activation of the enzyme. A reversible reaction, where the enzyme can react with both the substrate and the product, is also modeled as a DEM and validated with an ODE model. The substrate-enzyme reaction models with feedback is extended to a steady-state system by adding a generator, convertor and exit. Stability of the steady-state system is analyzed and resulted in three distinct regions.
    Original languageEnglish
    Place of PublicationEindhoven
    PublisherTechnische Universiteit Eindhoven
    Number of pages86
    Publication statusPublished - 2010

    Publication series

    NameSE report
    Volume2010-01
    ISSN (Print)1872-1567

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