Title :

Model Reduction of Chemical Reaction Systems using Elimination

Author(s) :

Boulier, François [Auteur]
Calcul Formel [CALFOR]
Laboratoire d'Informatique Fondamentale de Lille [LIFL]
Lefranc, Marc [Auteur]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]
Lemaire, Francois [Auteur correspondant]
Calcul Formel [CALFOR]
Laboratoire d'Informatique Fondamentale de Lille [LIFL]
Morant, Pierre-Emmanuel [Auteur]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]

English keyword(s) :

quasi-steady state approximation
chemical reaction systems
model reduction
computer algebra
elimination theory

HAL domain(s) :

Sciences du Vivant [q-bio]/Bio-Informatique, Biologie Systémique [q-bio.QM]
Informatique [cs]/Bio-informatique [q-bio.QM]
Mathématiques [math]/Systèmes dynamiques [math.DS]
Informatique [cs]/Calcul formel [cs.SC]

English abstract : [en]

There exist different schemes of model reduction for parametric ordinary differential systems arising from chemical reaction systems. In this paper, we focus on some schemes which rely on quasi-steady states approximations. ...
Show more >There exist different schemes of model reduction for parametric ordinary differential systems arising from chemical reaction systems. In this paper, we focus on some schemes which rely on quasi-steady states approximations. We show that these schemes can be formulated by means of differential and algebraic elimination. Our formulation is simpler than the classical ones. It permitted us to obtain an approximation of the basic enzymatic reaction system which is different from those of Henri-Michaëlis-Menten and Briggs-Haldane.Show less >

Language :

Anglais

Comment :

submitted to MACIS 2007

Collections :

• Laboratoire de Physique des Lasers, Atomes et Molécules (PhLAM) - UMR 8523

Source :

Harvested from HAL