Model Reduction of Chemical Reaction Systems using Elimination

Abstract : 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.


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Submitted on : Wednesday, October 31, 2007 - 12:41:44 PM
Last modification on : Monday, March 21, 2016 - 5:48:03 PM
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  • HAL Id : hal-00184558, version 1

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François Boulier, Marc Lefranc, François Lemaire, Pierre-Emmanuel Morant. Model Reduction of Chemical Reaction Systems using Elimination. submitted to MACIS 2007. 2007. <hal-00184558>

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