0573179 20250327191112.020230623235959.9 1 s. P cav_un_epca*057317758-58OlomoucDepartment of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University Olomouc2023 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*0100790 Matonoha Ctirad UIVT-O Oddělení umělé inteligence Department of Artificial Intelligence Department of Computational Mathematics Ústav informatiky AV ČR, v. v. i. cav_un_auth*0451629 Sanchez A. MX https://odam.upol.cz/soubory/ODAM_2023_Book_of_abstracts.pdf The existence of the fast/slow phenomena in (bio)chemical reaction systems rep- resents difficulties for numerical simulation. However, it provides opportunities to reduce the system order. A well-known example of a classical model reduction method is the so-called quasi-steady-state approximation (QSSA) method, usually applied to a system of ODEs describing chemical reaction networks where one or more reactions are so fast that a quasi-steady-state for some species concentration is reached almost instantaneously. In this contribution, we develop and test a novel model reduction method, the delayed quasi-steady-state approximation (D-QSSA) method, which was first pro- posed by Vejchodský [1], [2] and further developed by Matonoha and Papáček [3]. While Vejchodský et al. developed their method for the generally time-dependent delays, we newly analyzed theoretical and numerical issues related to the existence and setting of constant delays in some sense optimal. As a numerical case study, we took the paradigmatic example of the Michaelis-Menten kinetics with a simple transport process. The results of the comparison of the full non-reduced system behavior with nine respective variants of reduced models are discussed. cav_un_auth*0451628 ODAM 2023: Olomoucian Days of Applied Mathematics 20230612 20230614 Olomouc https://odam.upol.cz/ CZ 2024 4 O 4o 20231122151409.0 RVO:67985807 RVO:67985556 https://hdl.handle.net/11104/0343638 S 2023 Soubory v repozitáři: 0573179-aw.pdf SCOPUS PUBMED WOS cav_un_epca*0573177 ODAM 2023 Book of Abstracts Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University Olomouc 2023 Olomouc 58 58