About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Papáček, Štěpán ; Matonoha, Ctirad
A note on the OD-QSSA and Bohl-Marek methods applied to a class of mathematical models. (English). In: Chleboun, J., Papež, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 23-28, 2024. , Prague, 2025. pp. 127-136
MSC: 34A34, 65F60, 65K10, 92C45 | DOI: 10.21136/panm.2024.12
Keywords:
mathematical modelling; chemical kinetic systems; model reduction; quasi-steady-state approximation; M-Matrix; quasi-linear formulation
Summary:
The complex (bio)chemical reaction systems, frequently possess fast/slow phenomena, represent both difficulties and challenges for numerical simulation. We develop and test an enhancement of the classical QSSA (quasi-steady-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 Vejchodský (2014) and further developed by Papáček (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.
Partner of
EuDML logo