Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
219950 | Journal of Electroanalytical Chemistry | 2010 | 10 Pages |
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.