Doehlert applications

A note is in order here to stress that a special form of experimental designs can be used for optimization. They are known as Doehlert designs, of which several applications are reviewed in Table 2.34. As this chapter is intended at an introductory level, no further details will be give here. 

M. Zougagh, P. C. Rudner, A. Garcia-de-Torres and J. M. Cano-Pavon, Application of Doehlert matrix and factorial designs in the optimisation of experimental variables associated with the on-line preconcentration and determination of zinc by flow injection inductively coupled plasma atomic emission spectrometry, J. Anal. At. Spectrom., 15(12), 2000, 1589-1594. 

N. Jalbani, T. G. Kazi, M. K. Jamali, M. B. Arain, H. I. Afridi, S. T. Sheerazi and R. Ansari, Application of fractional factorial design and Doehlert matrix in the optimisation of experimental variables associated with the ultrasonic-assisted acid digestion of chocolate samples for aluminium determination by atomic absorption spectrometry, J. AO AC Int., 90(6), 2007, 1682-1688. 

Fig. 3 Application of the Doehlert experimental design to optimize a MIP for propranolol with respect to the type of cross-linker (EDMA or TRIM) and the degree of cross-linking, (a) Three-dimensional representation of response surfaces for the percentage of bound [3H]propanolol to the molecularly imprinted polymer (MIP) and the corresponding non-imprinted control polymer (NIP), (b) Contour plot of the function describing binding of [3H]propanolol to MIPs relative to the degree and the kind (bi or trifunctional) cross-linking. The values were corrected for non-specific binding to the non-imprinted control polymer. Adapted from [31] with kind permission from Springer Science + Business Media...

Tak, V. et al. Application of Doehlert design in optimizing the determination of degraded products of nerve agents by ion-pair liquid chromatography electrospray ionization tandem mass spectrometry, J. Chromatogr. A. 2007,1161,198-206. 

Cadmium is sometimes determined together with other metals such as zinc, lead, and mercury. Generally, these applications are based on the formation of metal-ligand complexes, and some kinds of statistical or chemometric tools (full factorial designs, sequential experimental Doehlert designs, artificial neural network, partial least square) are used for distinguishing the concentrations of each analyte. In addition, some applications are based on the kinetic differentiation of the reactions related to metals and the same ligands. 

S. L. C. Ferreira, A. S. Queiroz, M. S. Fernandes and D. C. Dos-Santos, Application of factorial designs and Doehlert matrix in optimisation of experimental variables associated with the preconcentration and determination of vanadium and copper in seawater by inductively coupled plasma optical emission spectrometry, Spectrochim. Acta B, 2002, 57B(12), 1939-1950. 

K. C. Di Pietro Roux, H. F. Maltez, Sch., J. Carletto, E. Martendal and E. Carasek, Application of factorial design and Doehlert matrix for determination of trace lead in environmental samples by on-line column preconcentration FAAS using silica gel chemically modified with niobium(V) oxide. Anal. Sci., 2008, 24(3), 365-370. 

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