Abstract
Homotopy perturbation method is used to extend the approximate analytical solutions of non-linear reaction equations describing enzyme kinetics for combinations of parameters for which solutions obtained in previous works are not valid. Also, by constructing a new homotopy, alternative approximate analytical expressions for substrate, substrate-enzyme complex and product concentrations are found. These first-order approximate solutions give more accurate results than the second-order approximations derived in previous works.
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Vogt, D. On approximate analytical solutions of differential equations in enzyme kinetics using homotopy perturbation method. J Math Chem 51, 826–842 (2013). https://doi.org/10.1007/s10910-012-0121-8
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DOI: https://doi.org/10.1007/s10910-012-0121-8