On an optimal setting of delays for the D-QSSA model reduction method applied to a class of chemical reaction networks

0561587 - ÚI 2023 RIV CZ eng J - Journal Article
Matonoha, Ctirad - Papáček, Štěpán - Lynnyk, Volodymyr
On an optimal setting of delays for the D-QSSA model reduction method applied to a class of chemical reaction networks.
Applications of Mathematics. Roč. 67, SI 6 (2022), s. 831-857. ISSN 0862-7940. E-ISSN 1572-9109
R&D Projects: GA ČR(CZ) GA19-05872S
Institutional support: RVO:67985807 ; RVO:67985556
Keywords : reaction network * model reduction * singular perturbation * quasi-steady-state approximation * D-QSSA method * optimization
OECD category: Pure mathematics; Applied mathematics (UTIA-B)
Impact factor: 0.7, year: 2022
Method of publishing: Open access with time embargo
https://dx.doi.org/10.21136/AM.2022.0136-21

We develop and test a relatively simple enhancement of the classical model reduction method applied to a class of chemical networks with mass conservation properties. Both the methods, being (i) the standard quasi-steady-state approximation method, and (ii) the novel so-called delayed quasi-steady-state approximation method, firstly proposed by Vejchodský (2014), are extensively presented. Both theoretical and numerical issues related to the setting of delays are discussed. Namely, for one slightly modified variant of an enzyme-substrate reaction network (Michaelis-Menten kinetics), the comparison of the full non-reduced system behavior with respective variants of reduced model is presented and the results discussed. Finally, some future prospects related to further applications of the delayed quasi-steady-state approximation method are proposed.
Permanent Link: https://hdl.handle.net/11104/0334165