Geodesic
On an optimal setting of constant delays for the D-QSSA model reduction method applied to a class of chemical reaction networks
Applications of Mathematics, Tome 67 (2022) no. 6, pp. 831-857.

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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.
DOI : 10.21136/AM.2022.0136-21
Classification : 34A34, 65K10, 92C45
Keywords: reaction network; model reduction; singular perturbation; quasi-steady-state approximation; D-QSSA method; optimization 
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     title = {On an optimal setting of constant delays for the {D-QSSA} model reduction method applied to a class of chemical reaction networks},
     journal = {Applications of Mathematics},
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Matonoha, Ctirad; Papáček, Štěpán; Lynnyk, Volodymyr. On an optimal setting of constant delays for the D-QSSA model reduction method applied to a class of chemical reaction networks. Applications of Mathematics, Tome 67 (2022) no. 6, pp. 831-857. doi : 10.21136/AM.2022.0136-21. http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0136-21/

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