In this paper, we find a new asymptotic expansion valid in enzymatic reactions, where the total amount of enzyme exceeds greatly the total amount of substrate. In such a case, it is well known that the Michaelis-Menten approximation is no longer valid; therefore our asymptotic expansion, which improves known results, is a new tool to approximate in a closed form the concentrations of the reactants in the presence of an enzyme excess. Copyright (C) 2011 John Wiley & Sons, Ltd.
Asymptotic expansions in enzyme reactions with high enzyme concentrations / Bersani, Alberto Maria; Dell'Acqua, Guido. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - STAMPA. - 34:16(2011), pp. 1954-1960. [10.1002/mma.1495]
Asymptotic expansions in enzyme reactions with high enzyme concentrations
BERSANI, Alberto Maria;DELL'ACQUA, Guido
2011
Abstract
In this paper, we find a new asymptotic expansion valid in enzymatic reactions, where the total amount of enzyme exceeds greatly the total amount of substrate. In such a case, it is well known that the Michaelis-Menten approximation is no longer valid; therefore our asymptotic expansion, which improves known results, is a new tool to approximate in a closed form the concentrations of the reactants in the presence of an enzyme excess. Copyright (C) 2011 John Wiley & Sons, Ltd.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
