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On an optimal setting of delays for the D-QSSA model reduction method applied to a class of chemical reaction networks

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F22%3A00561587" target="_blank" >RIV/67985556:_____/22:00561587 - isvavai.cz</a>

  • Alternative codes found

    RIV/67985807:_____/22:00561587

  • Result on the web

    <a href="https://dx.doi.org/10.21136/AM.2022.0136-21" target="_blank" >https://dx.doi.org/10.21136/AM.2022.0136-21</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.21136/AM.2022.0136-21" target="_blank" >10.21136/AM.2022.0136-21</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On an optimal setting of delays for the D-QSSA model reduction method applied to a class of chemical reaction networks

  • Original language description

    We develop and test a relatively simple enhancement of the classical model reduction method applied to a class of chemical networks with mass conservation properties. Both the methods, being (i) the standard quasi-steady-state approximation method, and (ii) the novel so-called delayed quasi-steady-state approximation method, firstly proposed by Vejchodský (2014), are extensively presented. Both theoretical and numerical issues related to the setting of delays are discussed. Namely, for one slightly modified variant of an enzyme-substrate reaction network (Michaelis-Menten kinetics), the comparison of the full non-reduced system behavior with respective variants of reduced model is presented and the results discussed. Finally, some future prospects related to further applications of the delayed quasi-steady-state approximation method are proposed.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/GA19-05872S" target="_blank" >GA19-05872S: Synchronization and decentralized control of complex networks</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Applications of Mathematics

  • ISSN

    0862-7940

  • e-ISSN

    1572-9109

  • Volume of the periodical

    67

  • Issue of the periodical within the volume

    SI 6

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    27

  • Pages from-to

    831-857

  • UT code for WoS article

    000879014800008

  • EID of the result in the Scopus database

    2-s2.0-85141158537