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Bibliografie

Conference Paper (international conference)

A note on the OD-QSSA and Bohl-Marek methods applied to a class of mathematical models

Papáček Štěpán, Matonoha Ctirad

: Programs and Algorithms of Numerical Mathematics 22 : Proceedings of Seminar, p. 127-136 , Eds: Chleboun J., Papež J., Segeth K., Šístek J., Vejchodský T.

: Programs and Algorithms of Numerical Mathematics /22./, (Hejnice, CZ, 20240623)

: mathematical modelling, chemical kinetic systems, quasi-steady-state approximation, M-Matrix, quasi-linear formulation

: 10.21136/panm.2024.12

: https://library.utia.cas.cz/separaty/2025/TR/papacek-0635707.pdf

(eng): 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.

: BC

: 20205