Derringer's Desirability Function Research Articles

Study of different criteria for the selection of a rugged optimum in high performance liquid chromatography optimisation

Some criteria to select acceptably good and rugged conditions when optimising separations in High Performance Liquid Chromatography (HPLC) are discussed and evaluated. These criteria take into account the separation between the least separated pair of peaks, and the ruggedness of the optimisation criterion around each possible optimum. It is also shown that the optimal conditions selected by the criteria are also Pareto-optimal and in agreement with the ones selected when applying Derringer's desirability function.

Application of Derringer's desirability function for the selection of optimum separation conditions in capillary zone electrophoresis

In order to obtain a set of optimal experimental conditions for the separation of rare earth metal ions in capillary electrophoresis (CE), a multicriteria approach is applied. For this purpose, the Derringer's desirability function is proposed to determine conditions that will result in the most desirable combination of separation, sensitivity and analysis time. The CE separation method was optimized with the aid of a central composite design for two variables, i.e. the pH and the concentration of a complexing agent in the buffer electrolyte.

Criteria for developing rugged high-performance liquid chromatographic methods

An approach is described that allows the ultimate ruggedness of chromatographic methods to be rigorously included as an objective from the outset of systematic method development. Ruggedness criteria are defined as derivatives of other (typically resolution-based) criteria. Numerical estimates of ruggedness criteria can readily be obtained during selectivity optimization. It is necessary to consider ruggedness simultaneously with other objectives of the separation using multi-criteria decision making (MCDM) procedures. Three MCDM methods were considered in this work, viz., Pareto-optimality (PO) plot, Derringer's desirability function and the multiple-threshold approach (MTA). The characteristics of these three methods are discussed and the feasibility of developing rugged separations by systematically varying the pH and solvent composition is demonstrated.

Simultaneous optimization of several chromatographic performance goals using Derringer's desirability function

The desirability function, a multi-criterion decision-making method proposed by Derringer, was investigated to optimize different chromatographic performance goals. This function is a measure of overall quality and provides a convenient means to compare several chromatograms obtained by high-performance liquid chromatography (HPLC) and to select the separation with the most desirable properties. Other solutions to the problem of multi-criteria optimization in HPLC, such as the Pareto-optimality, chromatographic response functions and combined threshold criteria are compared with the proposed method, and the advantages and disadvantages of each are discussed.