Induced parameter-dependent optimization method applied to reaction rate determination

TL;DR

This paper introduces an optimization method that simplifies parameter fitting in reaction rate determination by reducing multiple variables to a single-variable minimization, improving accuracy and avoiding local minima.

Contribution

The paper presents a novel parameter-dependent optimization technique that enhances reaction rate analysis by reducing complexity and increasing precision.

Findings

Successfully applied to first and second order reactions

Reduced issues with multiple minima in parameter fitting

Potentially increases accuracy of reaction rate parameters

Abstract

Parameter fitting of data to a proposed equation almost always consider these parameters as independent variables. Here, the method proposed optimizes an arbitrary number of variables by the minimization of a function of a single variable. Such a technique avoids problems associated with multiple minima and maxima because of the large number of parameters, and could increase the accuracy of the determination by cutting down on machine errors. An algorithm for this optimization scheme is provided and applied to the determination of the rate constant and final concentration parameters for a first order and second order chemical reaction.