Doehlert

Solutions containing more than 10 mol fumonisin are proven to effect negatively the production of amylase and elongation of radicles in seeds (Doehlert et al., 1994). Fumonisin also causes shoot and root length to be decreased (Lamprecht et al., 1994). It is assumed that fumonisins other than fumonisin Bi and B2 are much less potent than fumonisin Bi (which is always prevalent). 

Doehlert, D.C., Knutson, C.A. and Vesonder, R.E., Phytotoxic effects of fumonisin B, on maize seedling growth, Mycopathologia, 127, 117, 1994. 

Some second-order designs, such as the uniform shell designs (Doehlert [28]), have been proposed which are not based on the central composite design. A more thorough treatment of additional second-order designs can be found in the texts mentioned earlier see Myers [11], Box and Draper [12], Khuri and Cornell [13]. 

D.H. Doehlert, Uniform shell designs. Journal of the Royal Statistical Society, Series C, 19 (1970) 231-239. 

Figure 3.15. Doehlert design for two factors, with coded values. The shaded triangle is the generating simplex.

Doehlert, D id (1970), Uniform Shell Designs, Applied Statistics, 19 (3), 231-239. 

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. 

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. 

An on-line coupling of a flow-injection system with the AAS technique was proposed. The full factorial design was used to ascertain the relevant variables which were then optimised using a Doehlert design (pH and concentration of the complexing agent)... 

M. A. Bezerra, A. L. B. Conceicao and S. L. C. Ferreira, Doehlert matrix for optimisation of procedure for determination of nickel in saline oil-refinery effluents by use of flame atomic absorption spectrometry after preconcentration by cloud-point extraction. Anal. Bioanal. Chem., 378(3), 2004, 798-803. 

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. 

FAAS A four-variable Doehlert design was used to optimise a... 

ICP-OES A 5-level Doehlert design provided multivariate insight... 

ETAAS Doehlert designs were used to optimise the temperature... 

FAAS A 2-level full design and a 2-Doehlert matrix design were... 

Cu by combining full factorial and Doehlert matrix designs... 

Doehlert matrix design to study an on-line pre-concentration procedure... 

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...

Vignaux N, Doehlert DC, Elias EM, McMullen MS, Grant LA, Kianian SF. Cereal Chem. 2005 82 93. 

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. 

Fig. 6.16. Doehlert design for Ivvo factors (points / till 7) and demonstration of the sequentiality of the design (additional points 8-10).

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