| Title:
|
A note on the OD-QSSA and Bohl-Marek methods applied to a class of mathematical models (English) |
| Author:
|
Papáček, Štěpán |
| Author:
|
Matonoha, Ctirad |
| Language:
|
English |
| Journal:
|
Programs and Algorithms of Numerical Mathematics |
| Volume:
|
Proceedings of Seminar. Hejnice, June 23-28, 2024 |
| Issue:
|
2024 |
| Year:
|
|
| Pages:
|
127-136 |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
mathematical modelling |
| Keyword:
|
chemical kinetic systems |
| Keyword:
|
model reduction |
| Keyword:
|
quasi-steady-state approximation |
| Keyword:
|
M-Matrix |
| Keyword:
|
quasi-linear formulation |
| MSC:
|
34A34 |
| MSC:
|
65F60 |
| MSC:
|
65K10 |
| MSC:
|
92C45 |
| DOI:
|
10.21136/panm.2024.12 |
| . |
| Date available:
|
2025-06-02T07:42:35Z |
| Last updated:
|
2025-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703212 |
| . |
