Doehlert designs response surfaces

Doehlert designs and response surface models were developed to evaluate the effects and interactions of flve variables on the extraction of Mn in a flow-injection device. 

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...

Sorbent polyacrylate-coated fiber optimized by using a response surface generated with a Doehlert design... 

Despite being spherical, Doehlert designs have none of the classical properties of response surface designs. They are neither orthogonal nor rotatable, and the variance of the predicted values is not uniform over the experimental range. However, they have other interesting featiu es that... 

The Doehlert designs have none of the conventional properties of the response surface experimental designs (isovariance by rotation, cmhogonality, uniform precision, etc.). It can indeed be shown by calculation that ... 

To know the influence of the three factors on the two responses at the first lime, and then to determine the optimal experimental coiKUlions in the domain of interest. the surface response mctbodological approach is used. For this, the design realized is a Doehlert design (Table 32), where the change in the number of levels is minimized (each faciOT has only tfiree levels of variation). The plan of experimentation is given in Table 33. 

Figure 3.20 Response surface designs Doehlert design for two factors.

The graphite furnace temperature program was optimised by response surface methodology (RSM) using a Doehlert design for three variables. 

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