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Model Reduction of Chemical Reaction Systems using Elimination

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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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Authors and Affiliations

  1. LIFL, Université Lille I, Villeneuve d’Ascq, France

    François Boulier & François Lemaire

  2. PhLAM, Université Lille I, Villeneuve d’Ascq, France

    Marc Lefranc & Pierre-Emmanuel Morant

Authors
  1. François Boulier
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  2. Marc Lefranc
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  3. François Lemaire
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  4. Pierre-Emmanuel Morant
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Correspondence to François Boulier.

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Boulier, F., Lefranc, M., Lemaire, F. et al. Model Reduction of Chemical Reaction Systems using Elimination. Math.Comput.Sci. 5, 289–301 (2011). https://doi.org/10.1007/s11786-011-0093-2

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