A fast and accurate estimation of amperometric current response in reaction kinetics

A variety of nonlinear differential models exist for reaction kinetics. Although exact or approximate solutions might not be the main focus in practical applications, the slope at a specific point holds great physical significance and an accurate estimate is crucial. This paper introduces two novel concepts: the point solution and the point slope. These are based on the idea that the accuracy of a particular point is notably higher than that of other points within the solution domain. The paper uses non-Michaelis-Menten kinetics as an example to explain the methodology for obtaining an accurate point slope for the amperometric current response. Moreover, the main factors influencing the response are clearly shown through a closed and simple mathematical formulation. The effectiveness and advantages of this technique are demonstrated by comparing the results with those in existing literature. For the chemistry field to leverage the potential of this approach, this article can serve as a model for practical applications.