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- W2086071720 abstract "A mathematical model of amperometric and potentiometric biosensor is developed. The model is based on system of reaction–diffusion equations containing a non-linear term related to Michaelis–Menten kinetics of the enzymatic reaction. This paper presents an approximate analytical method (He’s Homotopy perturbation method) to solve the non-linear differential equations that describe the diffusion coupled with a Michaelis–Menten kinetics law. Approximate analytical expressions for substrate concentration, product concentration and corresponding current response have been derived for all values of parameter σ using perturbation method. These results are compared with available limiting case results and are found to be in good agreement. The obtained results are valid for the whole solution domain." @default.
- W2086071720 created "2016-06-24" @default.
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- W2086071720 date "2010-05-01" @default.
- W2086071720 modified "2023-10-16" @default.
- W2086071720 title "Mathematical modeling of amperometric and potentiometric biosensors and system of non-linear equations – Homotopy perturbation approach" @default.
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- W2086071720 doi "https://doi.org/10.1016/j.jelechem.2010.03.027" @default.
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