0635707 20250603102408.320250530235959.9 10.21136/panm.2024.12 10 s. P cav_un_epca*0635711978-80-85823-74-5127-136PrahaMatematicky ustav AV CR, v. v. i.2025ChlebounJ.PapežJ.SegethK.ŠístekJ.VejchodskýT. mathematical modelling chemical kinetic systems quasi-steady-state approximation M-Matrix quasi-linear formulation 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. https://library.utia.cas.cz/separaty/2025/TR/papacek-0635707.pdf The complex (bio)chemical reaction systems, frequently possess fast/slow phenomena, represent both diffculties and challenges for numerical simulation. We develop and test an enhancement of the classical QSSA (quasisteady-state approximation) model reduction method applied to a system of chemical reactions. The novel model reduction method, the so-called delayed quasi-steady-state approximation method, proposed by Vejchodsky (2014) and further developed by Papacek (2021) and Matonoha (2022), is extensively presented on a case study based on Michaelis-Menten enzymatic reaction completed with the substrate transport. Eventually, an innovative approach called the Bohl-Marek method is shown on the same numerical example. cav_un_auth*0488072 Programs and Algorithms of Numerical Mathematics /22./ 20240623 20240628 Hejnice CZ BC 20000 20200 20205 2026 UIVT-O 10000 10100 10101 PR RVO:67985556 RVO:67985807 https://hdl.handle.net/11104/0366741 S 2025 SCOPUS PUBMED WOS cav_un_epca*0635711 Programs and Algorithms of Numerical Mathematics 22 : Proceedings of Seminar Matematicky ustav AV CR, v. v. i. 2025 Praha 127 136 978-80-85823-74-5 Chleboun J. 340 Papež J. 340 Segeth K. 340 Šístek J. 340 Vejchodský T. 340