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Mathematical modelling of enzyme kinetics reaction mechanisms and analytical solutions of non-linear reaction equations. (English) Zbl 1196.92020
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 $\varepsilon$.

92C45Kinetics in biochemical problems
37N25Dynamical systems in biology
Full Text: DOI
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