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. J.-H. He and 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 \(\varepsilon\).


92C45 Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)
37N25 Dynamical systems in biology


Zbl 1147.35338
Full Text: DOI


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