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

Papáček, Štěpán, and Matonoha, Ctirad. "A note on the OD-QSSA and Bohl-Marek methods applied to a class of mathematical models." Programs and Algorithms of Numerical Mathematics. 2025. 127-136. <http://eudml.org/doc/299972>.

@inProceedings{Papáček2025,
abstract = {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.},
author = {Papáček, Štěpán, Matonoha, Ctirad},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {mathematical modelling; chemical kinetic systems; model reduction; quasi-steady-state approximation; M-Matrix; quasi-linear formulation},
pages = {127-136},
title = {A note on the OD-QSSA and Bohl-Marek methods applied to a class of mathematical models},
url = {http://eudml.org/doc/299972},
year = {2025},
}

TY - CLSWK
AU - Papáček, Štěpán
AU - Matonoha, Ctirad
TI - A note on the OD-QSSA and Bohl-Marek methods applied to a class of mathematical models
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2025
SP - 127
EP - 136
AB - 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.
KW - mathematical modelling; chemical kinetic systems; model reduction; quasi-steady-state approximation; M-Matrix; quasi-linear formulation
UR - http://eudml.org/doc/299972
ER -