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Zbl 1196.92020
Meena, A.; Eswari, A.; Rajendran, L.
Mathematical modelling of enzyme kinetics reaction mechanisms and analytical solutions of non-linear reaction equations. (English)
[J] J. Math. Chem. 48, No. 2, 179-186 (2010). ISSN 0259-9791; ISSN 1572-8897/e

Summary: A boundary value problem in basic enzyme reactions is formulated and approximate expressions for substrate and product concentrations are presented. {\it J.-H. He} and {\it X.-H. Wu}'s [Chaos Solitons Fractals 29, No.~1, 108--113 (2006; Zbl 1147.35338)] variational iteration method is used to give approximate and analytical solutions of the nonlinear reaction equations containing a nonlinear term related to the enzymatic reaction. The relevant analytical solutions for the substrate, enzyme, substrate-enzyme and product concentration profiles are discussed in terms of dimensionless reaction diffusion parameters $K$, $\lambda $ and $\varepsilon$.

MSC 2000:: *92C45 Kinetics in biochemical problems
37N25 Dynamical systems in biology

Keywords: enzyme kinetics; non-linear reaction equations; variational iteration method; Michaelis-Menten kinetics

Citations: Zbl 1147.35338

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