0561587 20250320211055.420220926235959.9 85141158537 000879014800008 10.21136/AM.2022.0136-21 On an optimal setting of delays for the D-QSSA model reduction method applied to a class of chemical reaction networks 27 s. P cav_un_epca*02906540862-7940Applications of Mathematics67831-857Springer reaction network model reduction singular perturbation quasi-steady-state approximation D-QSSA method optimization cav_un_auth*0100790 Matonoha Ctirad UIVT-O Oddělení výpočetní matematiky Department of Computational Mathematics Department of Computational Mathematics K Ústav informatiky AV ČR, v. v. i. cav_un_auth*0404313 Papáček Štěpán UTIA-B Teorie řízení Department of Control Theory TŘ TR CZ Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0215855 Lynnyk Volodymyr UTIA-B Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. https://dx.doi.org/10.21136/AM.2022.0136-21 GA19-05872S GA ČR CZ cav_un_auth*0376352 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. 10000 10100 10101 2023 UTIA-B 10000 10100 10102 2 E 4 4e 4 20241118143030.0 4 20250320211055.4 RVO:67985807 RVO:67985556 https://hdl.handle.net/11104/0334165 S 3+4 Article Mathematics Applied B 20241005 MATHEMATICS.APPLIED 0.8 0.2 10.8 0.0005 0.271 553 0.242 0.700 33 Q4 14.4 Q4 Q4 0.49 Q3 14.4 2022 Soubory v repozitáři: 0561587-afin.pdf 85141158537 SCOPUS PUBMED 000879014800008 WOS cav_un_epca*0290654 Applications of Mathematics 0862-7940 1572-9109 Roč. 67 SI 6 2022 831 857 Springer