| bibtype |
A -
Abstract
|
| ARLID |
0573179 |
| utime |
20250327191112.0 |
| mtime |
20230623235959.9 |
| title
(primary) (eng) |
On the D-QSSA Method With Optimal Constant Delays Applied to a Class of Mathematical Models |
| specification |
| page_count |
1 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0573177 |
| title
|
ODAM 2023 Book of Abstracts |
| page_num |
58-58 |
| publisher |
| place |
Olomouc |
| name |
Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University Olomouc |
| year |
2023 |
|
|
| author
(primary) |
| ARLID |
cav_un_auth*0404313 |
| name1 |
Papáček |
| name2 |
Štěpán |
| institution |
UTIA-B |
| full_dept (cz) |
Teorie řízení |
| full_dept (eng) |
Department of Control Theory |
| department (cz) |
TŘ |
| department (eng) |
TR |
| country |
CZ |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0100790 |
| name1 |
Matonoha |
| name2 |
Ctirad |
| institution |
UIVT-O |
| full_dept (cz) |
Oddělení umělé inteligence |
| full_dept |
Department of Artificial Intelligence |
| full_dept |
Department of Computational Mathematics |
| fullinstit |
Ústav informatiky AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0451629 |
| name1 |
Sanchez |
| name2 |
A. |
| country |
MX |
|
| source |
|
| cas_special |
| abstract
(eng) |
The existence of the fast/slow phenomena in (bio)chemical reaction systems rep- resents difficulties for numerical simulation. However, it provides opportunities to reduce the system order. A well-known example of a classical model reduction method is the so-called quasi-steady-state approximation (QSSA) method, usually applied to a system of ODEs describing chemical reaction networks where one or more reactions are so fast that a quasi-steady-state for some species concentration is reached almost instantaneously. In this contribution, we develop and test a novel model reduction method, the delayed quasi-steady-state approximation (D-QSSA) method, which was first pro- posed by Vejchodský [1], [2] and further developed by Matonoha and Papáček [3]. While Vejchodský et al. developed their method for the generally time-dependent delays, we newly analyzed theoretical and numerical issues related to the existence and setting of constant delays in some sense optimal. As a numerical case study, we took the paradigmatic example of the Michaelis-Menten kinetics with a simple transport process. The results of the comparison of the full non-reduced system behavior with nine respective variants of reduced models are discussed. |
| action |
| ARLID |
cav_un_auth*0451628 |
| name |
ODAM 2023: Olomoucian Days of Applied Mathematics |
| dates |
20230612 |
| mrcbC20-s |
20230614 |
| place |
Olomouc |
| url |
https://odam.upol.cz/ |
| country |
CZ |
|
| reportyear |
2024 |
| mrcbC52 |
4 O 4o 20231122151409.0 |
| inst_support |
RVO:67985807 |
| inst_support |
RVO:67985556 |
| permalink |
https://hdl.handle.net/11104/0343638 |
| confidential |
S |
| arlyear |
2023 |
| mrcbTft |
\nSoubory v repozitáři: 0573179-aw.pdf |
| mrcbU14 |
SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
WOS |
| mrcbU63 |
cav_un_epca*0573177 ODAM 2023 Book of Abstracts Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University Olomouc 2023 Olomouc 58 58 |
|