A New Technique Using the Polynomials Approximation and Trapezoidal Average Method for Estimating Kinetic Rate Constants in Systems of Linear or Nonlinear Differential Equations

Abstract

Abstract A new technique using the polynomials approximation and the trapezoidal average method, has been proposed for estimating kinetic rate constants. It is implemented by minimizing the error of the concentration (of a product) obtained from the polynomial-approximated least square-error analysis of the observed concentrations during the initial reaction stage relative to that obtained theoretically from the trapezoidal average of the calculated concentration (of a product) on the basis of the law of mass action. The technique is useful for easily and exactly estimating the rate constants in systems of linear or nonlinear differential equations. A kinetic model, A→ B\ightleftarrowsC, was used to illustrate and develop the present technique.