Summary
An optimization procedure for the chromatographic separation of polymethoxylated flavones is described. A polyhedron working volume is drawn from a truncated tetrahedron constructed from the four solvents selected. The response function is an n'th degree polynomial the coefficients of which are calculated through the least squares method by means of B=(X′X)−1X′Y in which X′X is the information matrix (X′X)−1 the variance covariance matrix. X is the matrix of the model (polynomial built from the selected experiments) and X′ the transposed matrix. Y is the quality of the chromatogram defined by the resolution of each pair of solutes. An exchange algorithm matrix yields the minimum number of runs necessary to obtain a correct B. Isoresponses curves are drawn by intersection of a cubic volume which includes the polyhedron to give a better insight. An optimal zone is then determined and provides the solvent composition. An optimized chromatogram of 8 methoxylated flavones demonstrates the application of the method.
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Bianchini, J.P., Gaydou, E.M., Siouffi, A.M. et al. Optimization of the separation of polymethoxylated flavones in reversed phase liquid chromatography. Chromatographia 23, 15–20 (1987). https://doi.org/10.1007/BF02310411
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DOI: https://doi.org/10.1007/BF02310411