Mathematical modeling of the kinetics of a highly sensitive enzyme biosensor

In the present paper, the mathematical modeling of highly sensitive enzyme biosensor kinetics is discussed. The standard method of inverting a Laplace transform according to the Heaviside expansion theorem is applied to solve the coupled nonlinear time-dependent reaction–diffusion equations for the Michaelis–Menten expression that describes the concentrations of the substrate and product within the enzymatic layer. The analytical expressions for the concentration of the substrate and product have been derived for all values of the rate constant. A numerical simulation is also reported using the MATLAB software program. Our analytical results are compared with our simulation results. The analytical results show good agreement with those obtained using numerical method.