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Manzi SJ, Ranzuglia GA, Centres PM, Pereyra VD. Relevance of the calculation of the diffusion coefficient in a capillary electrophoresis experiment. Electrophoresis 2024; 45:300-309. [PMID: 37946567 DOI: 10.1002/elps.202300148] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/03/2023] [Revised: 10/11/2023] [Accepted: 10/22/2023] [Indexed: 11/12/2023]
Abstract
This paper analyzes the role of the diffusion coefficient in the movement of analytes that can reversibly react with a selector given a product in the presence of drift. The problem mimics the movement of enantiomers in a capillary electrophoresis experiment. As is well known, the signal in the capillary must be sharp enough to make a good determination of the effective mobility of the analytes being analyzed. The essence of the technique is based on fast interconversion rates. Therefore, the effective diffusion coefficient must be negligible during the experiment. In the present work, an exact expression for both the apparent mobility and the diffusion coefficient is obtained. This is done by writing the rate equations governing the process and solving them using the generating function technique. The effective mobility coincides with the Wren and Rowe equation, whereas the diffusion coefficient allows us to determine the values of the parameters to be taken into account so that this quantity is minimal or close to zero. On the other hand, the numerical solution of the kinetic equations and Monte Carlo simulations allow us to follow the signal in the capillary and to determine its space-time evolution.
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Affiliation(s)
- Sergio J Manzi
- Departamento de Física, Instituto de Física Aplicada San Luis (INFAP) - CONICET, Universidad Nacional de San Luis, San Luis, Argentina
| | - Gabriela A Ranzuglia
- Departamento de Física, Instituto de Física Aplicada San Luis (INFAP) - CONICET, Universidad Nacional de San Luis, San Luis, Argentina
| | - Paulo M Centres
- Departamento de Física, Instituto de Física Aplicada San Luis (INFAP) - CONICET, Universidad Nacional de San Luis, San Luis, Argentina
| | - Víctor D Pereyra
- Departamento de Física, Universidad Nacional de San Luis, San Luis, Argentina
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Defining a generic column set for achiral supercritical fluid chromatography applied to pharmaceuticals or natural products. J Chromatogr A 2023; 1687:463667. [PMID: 36463646 DOI: 10.1016/j.chroma.2022.463667] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2022] [Revised: 11/19/2022] [Accepted: 11/21/2022] [Indexed: 11/25/2022]
Abstract
When starting a method development in supercritical fluid chromatography (SFC), the first step is usually to screen several stationary phases based on previous experience or simply based on what is available in the laboratory. However, as there are now a large number of stationary phases available for SFC, the choice of an adequate set of columns to rapidly achieve a satisfying result can be difficult. In this project, 16 columns comprising a wide diversity of stationary phases and polarities ranging from the most polar (like bare silica gel) to the least polar (like octadecylbonded-silica) were compared, based on the gradient analysis of 129 probe compounds. The set mostly comprised active pharmaceutical ingredients, natural products and a few metabolites. The columns were ranked with the help of Derringer desirability functions taking account of (i) the number of compounds eluted from the column, (ii) the elution time in a suitable time frame, (iii) the average peak width, (iv) the average peak symmetry and (v) the spreading of retention along the gradient time. The five criteria selected showed no correlation. Overall, it appeared that those columns that had a high overall score were good for several reasons, like bare silica gel, propanediol-bonded silica or pentabromobenzyloxy-bonded silica. Initially, the columns had been screened with a gradient elution starting from 5% co-solvent and ending with 50% co-solvent in CO2. However, for some most retentive columns like amide-bonded silica, too many compounds remained non-eluted from the column. To examine this column more fairly, a second elution gradient was applied that ended with 100% co-solvent. This proved effective in restoring good overall performance through the elution of the most polar compounds.
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Experimental design methodologies in the optimization of chiral CE or CEC separations: an overview. Methods Mol Biol 2013; 970:409-27. [PMID: 23283793 DOI: 10.1007/978-1-62703-263-6_26] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/20/2023]
Abstract
In this chapter, an overview of experimental designs to develop chiral capillary electrophoresis (CE) and capillary electrochromatographic (CEC) methods is presented. Method development is generally divided into technique selection, method optimization, and method validation. In the method optimization part, often two phases can be distinguished, i.e., a screening and an optimization phase. In method validation, the method is evaluated on its fit for purpose. A validation item, also applying experimental designs, is robustness testing. In the screening phase and in robustness testing, screening designs are applied. During the optimization phase, response surface designs are used. The different design types and their application steps are discussed in this chapter and illustrated by examples of chiral CE and CEC methods.
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On-line enantioseparation of chlorpheniramine using β-cyclodextrin and carbon nanotubes after multivariate optimization. Talanta 2013; 105:167-72. [DOI: 10.1016/j.talanta.2012.11.045] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/30/2012] [Revised: 11/17/2012] [Accepted: 11/19/2012] [Indexed: 11/20/2022]
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Mangelings D, Vander Heyden Y. Enantioselective capillary electrochromatography: recent developments and new trends. Electrophoresis 2011; 32:2583-601. [PMID: 21910129 DOI: 10.1002/elps.201100009] [Citation(s) in RCA: 65] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/04/2011] [Revised: 03/10/2011] [Accepted: 03/10/2011] [Indexed: 11/11/2022]
Abstract
Since its development in the early 1970s, CEC has been studied quite extensively, but unfortunately its use is still mostly located at an academic level. Reasons for this are the limited availability of commercially available stationary phases (SPs) and columns, along with some practical limitations, such as column fragility, lack of column robustness and reproducibility. Nevertheless, CEC maintains a place among the separation techniques, probably because of its unique feature to combine two separation principles. Also in the field of chiral separations, CEC is often used as a separation technique and already showed its potential for this kind of analyses. This overview will focus on the recent applications, i.e. between 2006 and 2010, in enantioselective analysis by means of CEC. For the selected applications, the used SPs (chiral selectors) and their potential for future method development or screening purposes will be evaluated and critically discussed.
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Affiliation(s)
- Debby Mangelings
- Department of Analytical Chemistry and Pharmaceutical Technology, Center for Pharmaceutical Research, Vrije Universiteit Brussel, Brussels, Belgium.
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Breitkreitz MC, Jardim IC, Bruns RE. Combined column–mobile phase mixture statistical design optimization of high-performance liquid chromatographic analysis of multicomponent systems. J Chromatogr A 2009; 1216:1439-49. [DOI: 10.1016/j.chroma.2008.12.093] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/22/2008] [Revised: 12/11/2008] [Accepted: 12/31/2008] [Indexed: 10/21/2022]
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Preinerstorfer B, Lämmerhofer M. Recent accomplishments in the field of enantiomer separation by CEC. Electrophoresis 2007; 28:2527-65. [PMID: 17607806 DOI: 10.1002/elps.200700070] [Citation(s) in RCA: 44] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Abstract
The present review intends to summarize recent developments in the field of enantioselective separations and analysis by CEC. It covers studies published in English language in common peer-reviewed journals within the period between 2003 and 2006. Both, methods making use of chiral mobile phase additives as well as chiral stationary phases for electrochromatographic enantiomer separations, are reviewed. Achievements that have been made on the various column technologies, such as open-tubular, particle-packed, inorganic, organic and particle-fixed (hybrid-type) monolithic as well as molecularly imprinted polymer phases, are discussed.
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Affiliation(s)
- Beatrix Preinerstorfer
- Christian Doppler Laboratory for Molecular Recognition Materials, Institute of Analytical Chemistry and Food Chemistry, University of Vienna, Vienna, Austria
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Affiliation(s)
- Timothy J Ward
- Millsaps College, 1701 North State Street, Box 150306, Jackson, Mississippi, USA.
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Abstract
In this review research papers on the application of CEC are summarized that have been published between May 2003 and May 2005. First, a short overview is given of trends and developments in CEC that may increase the applicability of the separation technique. Next, application-oriented research using CEC is described in biochemical studies, including proteomics and genomics, in the analysis of food and natural products, and in pharmaceutical, industrial, and environmental analysis.
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Affiliation(s)
- Sebastiaan Eeltink
- Polymer-Analysis Group, van't Hoff Institute for Molecular Sciences (HIMS), University of Amsterdam, Amsterdam, The Netherlands
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Mangelings D, Maftouh M, Vander Heyden Y. Capillary electrochromatographic chiral separations with potential for pharmaceutical analysis. J Sep Sci 2005; 28:691-709. [PMID: 15938179 DOI: 10.1002/jssc.200400077] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
The use of capillary electrochromatography as a chiral separation technique for pharmaceutical applications is reviewed. Publications of the past 10 years that provide a potential practical application in pharmaceutical analysis are considered. Method development or validation, separation strategies, and potential routine analysis by the methods/applications cited are the main subjects on which we focused our attention. The indirect chiral separation method was only used once in CEC mode. In the direct chiral separations, the use of chiral stationary phases was obviously preferred over the use of chiral mobile phases with non-chiral stationary phases. Amongst the chiral stationary phases, those based on macrocyclic antibiotics and polysaccharide selectors were the most frequently used. Monolithic stationary phases also have several applications, but not so extended as those with packed capillary electrochromatography. The considered papers not only describe the applicability of the technique for relatively large sets of chiral analytes, they also showed that various types of stationary phases can be produced in-house in a simple manner. However, to survive as a mature separation technique, considerable time and effort are still needed to solve some disadvantages currently characterizing capillary electrochromatography.
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Affiliation(s)
- Debby Mangelings
- Department of Pharmaceutical and Biomedical Analysis, Pharmaceutical Institute, Vrije Universiteit Brussel-VUB, Laarbeeklaan 103, B-1090 Brussels, Belgium
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Vander Heyden Y, Mangelings D, Matthijs N, Perrin C. 18 Chiral separations. SEP SCI TECHNOL 2005. [DOI: 10.1016/s0149-6395(05)80062-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Mangelings D, Maftouh M, Massart DL, Vander Heyden Y. Comparison of the miniaturised techniques capillary electrochromatography and capillary liquid chromatography for the chiral separation of chlorthalidone. J Pharm Biomed Anal 2004; 35:789-99. [PMID: 15193723 DOI: 10.1016/j.jpba.2004.03.008] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/19/2004] [Revised: 03/15/2004] [Accepted: 03/16/2004] [Indexed: 11/29/2022]
Abstract
The aim of this study was to compare the miniaturised techniques, capillary electrochromatography (CEC) and capillary liquid chromatography (CLC), for the chiral separation of chlorthalidone. In both cases, hydroxypropyl-beta-cyclodextrin was used as a chiral selector in the mobile phase, while an achiral stationary phase was used. Earlier, this separation was already optimised in CEC. Now, the separation was optimised in CLC. The influence of the organic modifier content and the cyclodextrin concentration on the separation was studied by means of a central composite design. Optimal separation conditions were determined, after response modelling, from the response surface contour plots. When these conditions were compared with those of the CEC optimisation, we can see the potential of using CLC as a chiral separation technique since less chiral selector was used, faster separations were obtained and better repeatability was observed in comparison with its electrical-driven counterpart.
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Affiliation(s)
- D Mangelings
- Department of Pharmaceutical and Biomedical Analysis, Pharmaceutical Institute, Vrije Universiteit Brussel-VUB, Laarbeeklaan 103, B-1090 Brussels, Belgium
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