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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F22%3A00561587" target="_blank" >RIV/67985556:_____/22:00561587 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/67985807:_____/22:00561587

Výsledek na webu

<a href="https://dx.doi.org/10.21136/AM.2022.0136-21" target="_blank" >https://dx.doi.org/10.21136/AM.2022.0136-21</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21136/AM.2022.0136-21" target="_blank" >10.21136/AM.2022.0136-21</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA19-05872S" target="_blank" >GA19-05872S: Synchronizace a decentralizované řízení složitých sítí</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Applications of Mathematics

ISSN

0862-7940

e-ISSN

1572-9109

Svazek periodika

67

Číslo periodika v rámci svazku

SI 6

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

27

Strana od-do

831-857

Kód UT WoS článku

000879014800008

EID výsledku v databázi Scopus

2-s2.0-85141158537