Simplex Method of Nonlinear Least-Squares - A Logical Complementary Method to Linear Least-Square Analysis of Data

Nonlinear Least-Squares Curve Fitting with Microsoft Excel Solver

“…The purpose of this article is to introduce the method of Walsh and Diamond (1) to readers of this Journal, to extend their treatment to weighted least squares, and to add a simple method for estimating uncertainties in the least-square parameters. Other recipes for curve fitting have been presented in numerous previous papers (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16).…”

Charge neutralization process of mobile species developed during potentiodynamic conditions. Part 2: Simulation and fit of probe beam deflection experiments

“…To achieve this, the so-called Simplex algorithm has been implemented to fit experimental voltammograms with theoretical curves developed from Eq. 25 of Part 1 [31,32]. These fits provided some parameters such as the diffusion coefficients of redox species and the standard potential of the electrochemical reaction, which are required further to fit PBD curves.…”

Diagnosis of Enzyme Inhibition Using Excel Solver: A Combined Dry and Wet Laboratory Exercise

“…One goal in the study of enzymology is parameter determination and another goal is to discriminate between different kinetic models (e.g., competitive inhibition or noncompetitive inhibition). Methods, such as extra sum-of-square F test (as Mannervik discrimination), allow comparison of models. − It should be pointed out that, in kinetic studies that are beyond the accuracy of statistical measures, it is also important to consider the physical plausibility of the model and to take into account only models with theoretical justification . After model discrimination, the uncertainties in parameters can be determined by procedures including Billo’s SolvStat macro, de Levie’s SolverAid macro, or Ogren’s variance-covariance matrix …”