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Hadjmohammadi M, Salary M. Application of Sigmoidal Transformation Functions in Optimization of Micellar Liquid Chromatographic Separation of Six Quinolone Antibiotics. J Chromatogr Sci 2015; 54:429-35. [PMID: 26590234 DOI: 10.1093/chromsci/bmv164] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/28/2015] [Indexed: 11/13/2022]
Abstract
A chemometrics approach has been used to optimize the separation of six quinolone compounds by micellar liquid chromatography (MLC). A Derringer's desirability function, a multicriteria decision-making (MCDM) method, was tested for evaluation of two different measures of chromatographic performance (resolution and analysis time). The effect of three experimental parameters on a chromatographic response function (CRF) expressed as a product of two sigmoidal desirability functions was investigated. The sigmoidal functions were used to transform the optimization criteria, resolution and analysis time into the desirability values. The factors studied were the concentration of sodium dodecyl sulfate, butanol content and pH of the mobile phase. The experiments were done according to the face-centered cube central composite design, and the calculated CRF values were fitted to a polynomial model to correlate the CRF values with the variables and their interactions. The developed regression model showed good descriptive and predictive ability (R(2) = 0.815, F = 6.919, SE = 0.038, [Formula: see text]) and used, by a grid search algorithm, to optimize the chromatographic conditions for the separation of the mixture. The efficiency of prediction of polynomial model was confirmed by performing the experiment under the optimal conditions.
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Affiliation(s)
| | - Mina Salary
- Department of Analytical Chemistry, Faculty of Chemistry, University of Mazandaran, Babolsar, Iran
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Matsuda R, Hayashi Y, Sasaki K, Saito Y. Deductive prediction of measurement precision and optimization of integration time and wavelength in capillary electrophoreses. Chromatographia 2014. [DOI: 10.1007/bf02688112] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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3
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Hadjmohammadi MR, S. J. Nazari SS. Separation optimization of aniline and seven 4-substituted anilines in high-submicellar liquid chromatography using empirical retention modeling and Derringer's desirability function. J Sep Sci 2013; 36:2450-7. [DOI: 10.1002/jssc.201300158] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/11/2013] [Revised: 04/25/2013] [Accepted: 05/09/2013] [Indexed: 11/05/2022]
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4
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Hadjmohammadi MR, Nazari SSSJ. OPTIMIZATION OF SEPARATION OF FLAVONOIDS IN MICELLAR LIQUID CHROMATOGRAPHY USING EXPERIMENTAL DESIGN AND DERRINGER'S DESIRABILITY FUNCTION. J LIQ CHROMATOGR R T 2013. [DOI: 10.1080/10826076.2012.678458] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Ebrahimi P, Hadjmohammadi MR. Simultaneous optimization of resolution and analysis time in mixed micellar liquid chromatography of coumarins by use of a utility function. Anal Bioanal Chem 2005; 384:851-8. [PMID: 16362290 DOI: 10.1007/s00216-005-0216-1] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/05/2005] [Revised: 08/25/2005] [Accepted: 10/24/2005] [Indexed: 11/28/2022]
Abstract
A chemometrics approach has been used to optimize the separation of eight coumarin compounds by mixed micellar liquid chromatography. A utility function, a multi-criterion decision-making (MCDM) method, was tested for evaluation of two different measures of chromatographic performance (resolution and analysis time). The effect of six experimental parameters on a chromatographic response function (CRF) was investigated. The factors studied were the concentrations of SDS and Brij-35, alkyl-chain length of the alcohol used as organic modifier, organic modifier concentration, mobile phase pH, and temperature. The experiments were performed according to a face-centered cube response-surface experimental design. For evaluation of the chromatograms a simple linear response function was used which expressed as a summation of two optimization criteria, resolution and analysis time. Then calculated CRF values were fitted to a polynomial model to correlate the CRF values with the variables and their interactions. The regression model obtained was characterized by both its descriptive and predictive ability (R=0.963 and R2cv=0.861) and used, by means of a grid-search algorithm, to optimize the chromatographic conditions. Experiments performed under the optimum conditions predicted by the model produced a chromatogram of high quality. The model was also verified by the good agreement observed between predicted and experimental values of the chromatographic response function under the optimum conditions.
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Affiliation(s)
- P Ebrahimi
- Department of Chemistry, University of Mazandaran, P.O. Box 453, Babolsar, Iran
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Wang H, Liu W. Optimization of a high-performance liquid chromatography system by artificial neural networks for separation and determination of antioxidants. J Sep Sci 2004; 27:1189-94. [PMID: 15537075 DOI: 10.1002/jssc.200401719] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
A high-performance liquid chromatography (HPLC) system was used to determine the antioxidants tert-butyl-hydroquinone (TBHQ), tert-butylhydroxyanisole (BHA), and 3,5-di-tert-butylhydroxytoluene (BHT) simultaneously in oils. The paper presents a new methodology for the optimized separation of antioxidants in oils based on the coupling of experimental design and artificial neural networks. The orthogonal design and the artificial neural networks with extended delta-bar-delta (EDBD) learning algorithm were employed to design the experiments and optimize the variables. The response function (Rf) used was a weighted linear combination of two variables related to separation efficiency and retention time, according to which the optimized conditions were obtained. The above-mentioned antioxidants in rapeseed oils were separated and determined simultaneously under optimized conditions by HPLC with UV detection at 280 nm. Linearity was obtained over the range of 10-200 microg/mL with recoveries of 98.3% (TBHQ), 98.1% (BHT), and 96.2% (BHA).
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Affiliation(s)
- Huaiwen Wang
- State Key Laboratory of Solid Lubrication, Lanzhou Institute of Chemical Physics, Chinese Academy of Sciences, Lanzhou 730000, China.
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Kotani A, Hayashi Y, Matsuda R, Kusu F. Optimization of HPLC-ECD conditions for determination of catechins with precision and efficiency based on the FUMI theory. ANAL SCI 2003; 19:865-9. [PMID: 12834225 DOI: 10.2116/analsci.19.865] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
Abstract
A chemometric tool based on the Function of Mutual Information (FUMI) theory can provide a relative standard deviation (RSD) without repetitive measurements in high-performance liquid chromatography with electrochemical detection (HPLC-ECD). Two parameters: precision (= information content) phi and efficiency (= information content/time) theta, which were calculated from predicted RSD based on the FUMI theory, were used to optimize HPLC-ECD conditions, such as applied potential, flow rate, column length, and size of ODS porous packing. We selected catechins as analytes, and found that the most optimum applied potential and flow rate were +600 mV vs. SCE and 0.9 mL/min, respectively, because they gave the largest phi and theta values. Buffer concentration in mobile phase is less effective for giving large phi and theta values. Since the FUMI theory makes it possible to predict RSD without repetitive measurements, the present method saves considerable amounts of chemicals and experimental time, and was found to be useful for the optimization of experimental conditions for determination by HPLC-ECD.
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Affiliation(s)
- Akira Kotani
- School of Pharmacy, Tokyo University of Pharmacy and Life Science, 1432-1, Horinouchi, Hachioji, Tokyo 192-0392, Japan
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Louka YL, Sabbah S, Scriba GK. Method development and validation for the chiral separation of peptides in the presence of cyclodextrins using capillary electrophoresis and experimental design. J Chromatogr A 2001; 931:141-52. [PMID: 11695516 DOI: 10.1016/s0021-9673(01)01179-7] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Abstract
The present study describes the application of statistical experimental design to the optimization of enantioselective separations of peptides in capillary electrophoresis in order to obtain optimal operating conditions for routine work. Hydroxypropyl-beta-cyclodextrin was used as chiral selector and Ala-PheOMe as model peptide. The experiments were performed according to a face centered cube response surface experimental design for obtaining information how the factors such as concentration of the chiral selector, pH, buffer concentration and voltage affected the two response goals, resolution and analysis time. In order to achieve the simultaneous optimization of these two major electrophoretic performance goals for efficient and fast separation, the Derringer desirability functions were tested. While in the predefined experiments the analysis time for baseline separation was 25 min the desirability functions proposed a CE method, which diminished the analysis time and permitted the complete separation of the peptide enantiomers within 9 min.
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Affiliation(s)
- Y L Louka
- School of Pharmacy, Department of Pharmaceutical Chemistry, University of Athens, Greece.
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Divjak B, Moder M, Zupan J. Chemometrics approach to the optimization of ion chromatographic analysis of transition metal cations for routine work. Anal Chim Acta 1998. [DOI: 10.1016/s0003-2670(97)00644-2] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Barrado I, Meseguer V, Bermúdez MD, Martínez-Nicolás G. Supercritical carbon dioxide extraction of liquid crystalline azobenzenes. J Supercrit Fluids 1997. [DOI: 10.1016/s0896-8446(97)00023-5] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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12
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Deductive prediction of measurement precision and optimization of integration time and wavelength in capillary electrophoreses. Chromatographia 1995. [DOI: 10.1007/bf02267809] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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14
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Variables affecting the introduction of large sample volumes in capillary gas chromatography using a programmed-temperature vaporizer. J Chromatogr A 1993. [DOI: 10.1016/0021-9673(93)80423-6] [Citation(s) in RCA: 29] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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15
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Blanch GP, Tabera J, Herraiz M, Reglero G. Preconcentration of volatile components of foods: optimization of the steam distillation-solvent extraction at normal pressure. J Chromatogr A 1993. [DOI: 10.1016/0021-9673(93)80009-w] [Citation(s) in RCA: 26] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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16
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Jiménez B, Tabera J, Hernández L, González M. Simplex optimization of the analysis of polychlorinated biphenyls. J Chromatogr A 1992. [DOI: 10.1016/0021-9673(92)87085-m] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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17
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Tabera J, Jiménez B, Hernández L, González M. Optimization of the gas chromatographic analysis of a standard mixture of polychlorodibenzo-p-dioxins and polychlorodibenzofurans. J Chromatogr A 1991. [DOI: 10.1016/s0021-9673(01)87155-7] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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18
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Berrueta L, Fernandez L, Vicente F. Fluorim: A computer program for the automated data collection and treatment using commercial spectrofluorimeters. ACTA ACUST UNITED AC 1991. [DOI: 10.1016/0097-8485(91)80048-q] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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19
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A simple optimization strategy based on Rs-minimum and information theory of chromatography. Chromatographia 1990. [DOI: 10.1007/bf02328499] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Hayashi Y, Matsuda R. Comparison of Optimization Based on Information Theory with Optimization of Rs in Column Chromatography. ANAL LETT 1990. [DOI: 10.1080/00032719008052524] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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Hayashi Y, Matsuda R. Total chromatographic optimization (TOCO) II. Precision and efficiency of analysis. Chromatographia 1990. [DOI: 10.1007/bf02274541] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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22
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Total chromatographic optimization (TOCO) I. Simultaneous optimization of many variables in liquid chromatography. Chromatographia 1990. [DOI: 10.1007/bf02270454] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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23
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Hayashi Y, Matsuda R. Information theory of column chromatography on the basis of the information measure FUMI. J Chromatogr A 1990. [DOI: 10.1016/s0021-9673(01)89454-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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24
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Information theory of optimization in chromatography: optimal peak separation for various data processings. Anal Bioanal Chem 1990. [DOI: 10.1007/bf00324015] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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25
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Coenegracht P, Smilde A, Metting H, Doornbos D. Comparison of optimization methods in reversed-phase high-performance liquid chromatography using mixture designs and multi-criteria decision making. J Chromatogr A 1989. [DOI: 10.1016/s0021-9673(01)89139-1] [Citation(s) in RCA: 39] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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26
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Mazerolles G, Mathieu D, Phan-tan-luu R, Siouffi A. Computer-assisetd optimization with nemrod software. J Chromatogr A 1989. [DOI: 10.1016/s0021-9673(01)89154-8] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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27
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Computer optimization of separation in gas-solid chromatography, optimization model and computer-modified mapping procedure. Chromatographia 1989. [DOI: 10.1007/bf02260774] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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29
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Hayashi Y, Matsuda R. Modification of the function of mutual information based on information theory and the Kalman filter for chromatographic optimization. Anal Chim Acta 1989. [DOI: 10.1016/s0003-2670(00)81906-6] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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