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Lenčo J, Jadeja S, Naplekov DK, Krokhin OV, Khalikova MA, Chocholouš P, Urban J, Broeckhoven K, Nováková L, Švec F. Reversed-Phase Liquid Chromatography of Peptides for Bottom-Up Proteomics: A Tutorial. J Proteome Res 2022; 21:2846-2892. [PMID: 36355445 DOI: 10.1021/acs.jproteome.2c00407] [Citation(s) in RCA: 14] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Abstract
The performance of the current bottom-up liquid chromatography hyphenated with mass spectrometry (LC-MS) analyses has undoubtedly been fueled by spectacular progress in mass spectrometry. It is thus not surprising that the MS instrument attracts the most attention during LC-MS method development, whereas optimizing conditions for peptide separation using reversed-phase liquid chromatography (RPLC) remains somewhat in its shadow. Consequently, the wisdom of the fundaments of chromatography is slowly vanishing from some laboratories. However, the full potential of advanced MS instruments cannot be achieved without highly efficient RPLC. This is impossible to attain without understanding fundamental processes in the chromatographic system and the properties of peptides important for their chromatographic behavior. We wrote this tutorial intending to give practitioners an overview of critical aspects of peptide separation using RPLC to facilitate setting the LC parameters so that they can leverage the full capabilities of their MS instruments. After briefly introducing the gradient separation of peptides, we discuss their properties that affect the quality of LC-MS chromatograms the most. Next, we address the in-column and extra-column broadening. The last section is devoted to key parameters of LC-MS methods. We also extracted trends in practice from recent bottom-up proteomics studies and correlated them with the current knowledge on peptide RPLC separation.
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Affiliation(s)
- Juraj Lenčo
- Department of Analytical Chemistry, Faculty of Pharmacy in Hradec Králové, Charles University, Heyrovského 1203/8, 500 05Hradec Králové, Czech Republic
| | - Siddharth Jadeja
- Department of Analytical Chemistry, Faculty of Pharmacy in Hradec Králové, Charles University, Heyrovského 1203/8, 500 05Hradec Králové, Czech Republic
| | - Denis K Naplekov
- Department of Analytical Chemistry, Faculty of Pharmacy in Hradec Králové, Charles University, Heyrovského 1203/8, 500 05Hradec Králové, Czech Republic
| | - Oleg V Krokhin
- Department of Internal Medicine, Manitoba Centre for Proteomics and Systems Biology, University of Manitoba, 799 JBRC, 715 McDermot Avenue, WinnipegR3E 3P4, Manitoba, Canada
| | - Maria A Khalikova
- Department of Analytical Chemistry, Faculty of Pharmacy in Hradec Králové, Charles University, Heyrovského 1203/8, 500 05Hradec Králové, Czech Republic
| | - Petr Chocholouš
- Department of Analytical Chemistry, Faculty of Pharmacy in Hradec Králové, Charles University, Heyrovského 1203/8, 500 05Hradec Králové, Czech Republic
| | - Jiří Urban
- Department of Chemistry, Faculty of Science, Masaryk University, Kamenice 5, 625 00Brno, Czech Republic
| | - Ken Broeckhoven
- Department of Chemical Engineering (CHIS), Faculty of Engineering, Vrije Universiteit Brussel, Pleinlaan 2, 1050Brussel, Belgium
| | - Lucie Nováková
- Department of Analytical Chemistry, Faculty of Pharmacy in Hradec Králové, Charles University, Heyrovského 1203/8, 500 05Hradec Králové, Czech Republic
| | - František Švec
- Department of Analytical Chemistry, Faculty of Pharmacy in Hradec Králové, Charles University, Heyrovského 1203/8, 500 05Hradec Králové, Czech Republic
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Bernau CR, Knödler M, Emonts J, Jäpel RC, Buyel JF. The use of predictive models to develop chromatography-based purification processes. Front Bioeng Biotechnol 2022; 10:1009102. [PMID: 36312533 PMCID: PMC9605695 DOI: 10.3389/fbioe.2022.1009102] [Citation(s) in RCA: 8] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/01/2022] [Accepted: 09/23/2022] [Indexed: 11/13/2022] Open
Abstract
Chromatography is the workhorse of biopharmaceutical downstream processing because it can selectively enrich a target product while removing impurities from complex feed streams. This is achieved by exploiting differences in molecular properties, such as size, charge and hydrophobicity (alone or in different combinations). Accordingly, many parameters must be tested during process development in order to maximize product purity and recovery, including resin and ligand types, conductivity, pH, gradient profiles, and the sequence of separation operations. The number of possible experimental conditions quickly becomes unmanageable. Although the range of suitable conditions can be narrowed based on experience, the time and cost of the work remain high even when using high-throughput laboratory automation. In contrast, chromatography modeling using inexpensive, parallelized computer hardware can provide expert knowledge, predicting conditions that achieve high purity and efficient recovery. The prediction of suitable conditions in silico reduces the number of empirical tests required and provides in-depth process understanding, which is recommended by regulatory authorities. In this article, we discuss the benefits and specific challenges of chromatography modeling. We describe the experimental characterization of chromatography devices and settings prior to modeling, such as the determination of column porosity. We also consider the challenges that must be overcome when models are set up and calibrated, including the cross-validation and verification of data-driven and hybrid (combined data-driven and mechanistic) models. This review will therefore support researchers intending to establish a chromatography modeling workflow in their laboratory.
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Affiliation(s)
- C. R. Bernau
- Fraunhofer Institute for Molecular Biology and Applied Ecology IME, Aachen, Germany
| | - M. Knödler
- Fraunhofer Institute for Molecular Biology and Applied Ecology IME, Aachen, Germany
- Institute for Molecular Biotechnology, RWTH Aachen University, Aachen, Germany
| | - J. Emonts
- Fraunhofer Institute for Molecular Biology and Applied Ecology IME, Aachen, Germany
| | - R. C. Jäpel
- Fraunhofer Institute for Molecular Biology and Applied Ecology IME, Aachen, Germany
- Institute for Molecular Biotechnology, RWTH Aachen University, Aachen, Germany
| | - J. F. Buyel
- Fraunhofer Institute for Molecular Biology and Applied Ecology IME, Aachen, Germany
- Institute for Molecular Biotechnology, RWTH Aachen University, Aachen, Germany
- University of Natural Resources and Life Sciences, Vienna (BOKU), Department of Biotechnology (DBT), Institute of Bioprocess Science and Engineering (IBSE), Vienna, Austria
- *Correspondence: J. F. Buyel,
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Stoll DR, Kainz G, Dahlseid TA, Kempen TJ, Brau T, Pirok BWJ. An approach to high throughput measurement of accurate retention data in liquid chromatography. J Chromatogr A 2022; 1678:463350. [PMID: 35896047 DOI: 10.1016/j.chroma.2022.463350] [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: 04/02/2022] [Revised: 07/12/2022] [Accepted: 07/16/2022] [Indexed: 11/30/2022]
Abstract
Efforts to model and simulate various aspects of liquid chromatography (LC) separations (e.g., retention, selectivity, peak capacity, injection breakthrough) depend on experimental retention measurements to use as the basis for the models and simulations. Often these modeling and simulation efforts are limited by datasets that are too small because of the cost (time and money) associated with making the measurements. Other groups have demonstrated improvements in throughput of LC separations by focusing on "overhead" associated with the instrument itself - for example, between-analysis software processing time, and autosampler motions. In this paper we explore the possibility of using columns with small volumes (i.e., 5 mm x 2.1 mm i.d.) compared to conventional columns (e.g., 100 mm x 2.1 mm i.d.) that are typically used for retention measurements. We find that isocratic retention factors calculated for columns with these dimensions are different by about 20%; we attribute this difference - which we interpret as an error in measurements based on data from the 5 mm column - to extra-column volume associated with inlet and outlet frits. Since retention factor is a thermodynamic property of the mobile/stationary phase system under study, it should be independent of the dimensions of the column that is used for the measurement. We propose using ratios of retention factors (i.e., selectivities) to translate retention measurements between columns of different dimensions, so that measurements made using small columns can be used to make predictions for separations that involve conventional columns. We find that this approach reduces the difference in retention factors (5 mm compared to 100 mm columns) from an average of 18% to an average absolute difference of 1.7% (all errors less than 8%). This approach will significantly increase the rate at which high quality retention data can be collected to thousands of measurements per instrument per day, which in turn will likely have a profound impact on the quality of models and simulations that can be developed for many aspects of LC separations.
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Affiliation(s)
- Dwight R Stoll
- Gustavus Adolphus College, 800W College Ave, St. Peter, MN 56082, USA.
| | - Gudrun Kainz
- Gustavus Adolphus College, 800W College Ave, St. Peter, MN 56082, USA
| | - Tina A Dahlseid
- Gustavus Adolphus College, 800W College Ave, St. Peter, MN 56082, USA
| | - Trevor J Kempen
- Gustavus Adolphus College, 800W College Ave, St. Peter, MN 56082, USA
| | - Tyler Brau
- Gustavus Adolphus College, 800W College Ave, St. Peter, MN 56082, USA
| | - Bob W J Pirok
- Gustavus Adolphus College, 800W College Ave, St. Peter, MN 56082, USA; University of Amsterdam, van 't Hoff Institute for Molecular Sciences, Analytical-Chemistry Group, Science Park 904, 1098 XH Amsterdam, the Netherlands
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How ligand and particle types affect retention and separation of structurally diverse biologically active compounds in HPLC. MONATSHEFTE FUR CHEMIE 2021. [DOI: 10.1007/s00706-021-02807-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Terada H, Kuroda I, Uzu H, Ohira M, Yoshikawa K, Furuno M, Fukusaki E, Tanaka N. Reduction of the extra-column band dispersion by a slow transport and splitting of a sample band in isocratic reversed-phase liquid chromatography. J Chromatogr A 2021; 1641:461996. [PMID: 33640804 DOI: 10.1016/j.chroma.2021.461996] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/05/2020] [Revised: 02/05/2021] [Accepted: 02/08/2021] [Indexed: 11/26/2022]
Abstract
Sample introduction method was studied to reduce the extra-column effect in reversed-phase HPLC. Slow transport of a sample band (SToSB) in the pre-column space followed by the introduction of the band into the column at a near-optimum flow rate resulted in larger plate counts for a 1.0 mmID, 5 cm long column as much as 1.4-1.6 times for solutes with a retention factor (k) of 0.5-1.8 compared to a conventional elution method. Further reduction of the extra-column effect was possible by orthogonally splitting the sample band (SplSB) by flow switching during its slow transport followed by the introduction of the leading part of the band into the column. In this case, increased plate counts of up to 2-3 times for solutes with k of 0.5-1.8 were observed for a 1.0 mmID, 5 cm column. The sample introduction method, SToSB in the injector and the pre-column tube of a few μL, was found to reduce the extra-column band variance by 0.4-0.5 μL2 for an UHPLC system with the extra-column volume (Vextra) of ca. 4.6 μL and the system variance (σextra2) of 1.1 μL2 at flow rate of 100 μL/min, while SToSB and subsequent SplSB were found to be more effective, reducing σextra2 by about 0.8 μL2. With an UHPLC instrument with Vextra of about 10 μL and σextra2 of ca. 3.6 μL2 at flow rate of 300 μL/min, 1.4-2.1 times as many plate counts were observed with SToSB and SplSB compared to the normal elution method for early-eluting solutes with k=0.25-1.7 for a column, 2.1 mmID, 5 cm long. With this UHPLC instrument, SToSB and/or SplSB resulted in the reduction of σextra2 by 1.2-2.2 μL2.
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Affiliation(s)
- Hidetoshi Terada
- Department of Biotechnology, Graduate School of Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871, Japan; Osaka University Shimadzu Omics Innovation Research Laboratories, Osaka University, Suita, Osaka, 565-0871, Japan; Shimadzu Corporation, 1 Nishinokyo Kuwabara-cho, Nakagyo-ku, Kyoto 604-8511, Japan
| | - Ikuma Kuroda
- GL Sciences Inc., 237-2 Sayamagahara, Iruma, Saitama 358-0032, Japan
| | - Hideyuki Uzu
- GL Sciences Inc., 237-2 Sayamagahara, Iruma, Saitama 358-0032, Japan
| | - Masayoshi Ohira
- GL Sciences Inc., 237-2 Sayamagahara, Iruma, Saitama 358-0032, Japan
| | - Kohei Yoshikawa
- Department of Biotechnology, Graduate School of Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871, Japan
| | - Masahiro Furuno
- Department of Biotechnology, Graduate School of Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871, Japan
| | - Eiichiro Fukusaki
- Department of Biotechnology, Graduate School of Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871, Japan; Osaka University Shimadzu Omics Innovation Research Laboratories, Osaka University, Suita, Osaka, 565-0871, Japan.
| | - Nobuo Tanaka
- Department of Biotechnology, Graduate School of Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871, Japan; GL Sciences Inc., 237-2 Sayamagahara, Iruma, Saitama 358-0032, Japan.
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Kadlecová Z, Kalíková K, Ansorge M, Gilar M, Tesařová E. The effect of particle and ligand types on retention and peak shape in liquid chromatography. Microchem J 2020. [DOI: 10.1016/j.microc.2020.105466] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
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7
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Kaplitz AS, Kresge GA, Selover B, Horvat L, Franklin EG, Godinho JM, Grinias KM, Foster SW, Davis JJ, Grinias JP. High-Throughput and Ultrafast Liquid Chromatography. Anal Chem 2019; 92:67-84. [DOI: 10.1021/acs.analchem.9b04713] [Citation(s) in RCA: 27] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
Affiliation(s)
- Alexander S. Kaplitz
- Department of Chemistry & Biochemistry, Rowan University, Glassboro, New Jersey 08028, United States
| | - Glenn A. Kresge
- Department of Chemistry & Biochemistry, Rowan University, Glassboro, New Jersey 08028, United States
| | - Benjamin Selover
- Department of Chemistry & Biochemistry, Rowan University, Glassboro, New Jersey 08028, United States
| | - Leah Horvat
- Department of Chemistry & Biochemistry, Rowan University, Glassboro, New Jersey 08028, United States
| | | | - Justin M. Godinho
- Advanced Materials Technology, Inc., Wilmington, Delaware 19810, United States
| | - Kaitlin M. Grinias
- Analytical Platforms & Platform Modernization, GlaxoSmithKline, Upper Providence, Collegeville, Pennsylvania 19426, United States
| | - Samuel W. Foster
- Department of Chemistry & Biochemistry, Rowan University, Glassboro, New Jersey 08028, United States
| | - Joshua J. Davis
- Department of Chemistry & Biochemistry, Rowan University, Glassboro, New Jersey 08028, United States
| | - James P. Grinias
- Department of Chemistry & Biochemistry, Rowan University, Glassboro, New Jersey 08028, United States
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Zelenyánszki D, Lambert N, Gritti F, Felinger A. The effect of column packing procedure on column end efficiency and on bed heterogeneity – Experiments with flow-reversal. J Chromatogr A 2019; 1603:412-416. [DOI: 10.1016/j.chroma.2019.05.040] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/21/2019] [Revised: 05/20/2019] [Accepted: 05/22/2019] [Indexed: 10/26/2022]
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9
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Gritti F, Tanaka N. Slow injector-to-column sample transport to maximize resolution in liquid chromatography: Theory versus practice. J Chromatogr A 2019; 1600:219-237. [DOI: 10.1016/j.chroma.2019.04.060] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/26/2019] [Revised: 04/15/2019] [Accepted: 04/22/2019] [Indexed: 01/08/2023]
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10
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Gritti F, Gilar M. Impact of frit dispersion on gradient performance in high-throughput liquid chromatography. J Chromatogr A 2019; 1591:110-119. [DOI: 10.1016/j.chroma.2019.01.021] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/27/2018] [Revised: 01/05/2019] [Accepted: 01/08/2019] [Indexed: 01/19/2023]
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11
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Kuroda I, Uzu H, Miyazaki S, Ohira M, Tanaka N. Reduction of the extra-column band dispersion by a slow transport of a sample band from the injector to the column in isocratic reversed-phase liquid chromatography. J Chromatogr A 2018; 1572:44-53. [DOI: 10.1016/j.chroma.2018.08.037] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/25/2018] [Revised: 08/03/2018] [Accepted: 08/15/2018] [Indexed: 01/01/2023]
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12
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Gritti F, Cormier S. Performance optimization of ultra high-resolution recycling liquid chromatography. J Chromatogr A 2018; 1532:74-88. [DOI: 10.1016/j.chroma.2017.11.047] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/06/2017] [Revised: 11/11/2017] [Accepted: 11/21/2017] [Indexed: 10/18/2022]
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13
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On the relationship between radial structure heterogeneities and efficiency of chromatographic columns. J Chromatogr A 2018; 1533:112-126. [DOI: 10.1016/j.chroma.2017.12.030] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/03/2017] [Revised: 09/11/2017] [Accepted: 09/23/2017] [Indexed: 11/18/2022]
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14
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Affiliation(s)
- Xilong Yuan
- Department of Chemistry, Queen's University , Kingston, Ontario K7L 3N6, Canada
| | - Richard D Oleschuk
- Department of Chemistry, Queen's University , Kingston, Ontario K7L 3N6, Canada
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15
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Impact of instrument and column parameters on high-throughput liquid chromatography performance. J Chromatogr A 2017; 1523:215-223. [DOI: 10.1016/j.chroma.2017.07.035] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/28/2017] [Revised: 07/07/2017] [Accepted: 07/10/2017] [Indexed: 12/21/2022]
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16
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Gritti F, Besner S, Cormier S, Gilar M. Applications of high-resolution recycling liquid chromatography: From small to large molecules. J Chromatogr A 2017; 1524:108-120. [DOI: 10.1016/j.chroma.2017.09.054] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/03/2017] [Revised: 09/11/2017] [Accepted: 09/23/2017] [Indexed: 11/25/2022]
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17
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Ahmad IAH, Hrovat F, Soliven A, Clarke A, Boswell P, Tarara T, Blasko A. A 14 Parameter Study of UHPLC’s for Method Development Transfer and Troubleshooting. Chromatographia 2017. [DOI: 10.1007/s10337-017-3337-8] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
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18
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Lambert N, Miyazaki S, Ohira M, Tanaka N, Felinger A. Comparison of the kinetic performance of different columns for fast liquid chromatography, emphasizing the contributions of column end structure. J Chromatogr A 2016; 1473:99-108. [DOI: 10.1016/j.chroma.2016.10.052] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/10/2016] [Revised: 10/04/2016] [Accepted: 10/19/2016] [Indexed: 01/17/2023]
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19
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Gilar M, McDonald TS, Gritti F. Experimental evaluation of chromatographic performance of capillary and microfluidic columns with linear or curved channels. J Chromatogr A 2016; 1470:76-83. [DOI: 10.1016/j.chroma.2016.10.004] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/27/2016] [Revised: 09/29/2016] [Accepted: 10/05/2016] [Indexed: 11/16/2022]
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20
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Gritti F, Gilar M, Jarrell JA. Quasi-adiabatic vacuum-based column housing for very high-pressure liquid chromatography. J Chromatogr A 2016; 1456:226-34. [DOI: 10.1016/j.chroma.2016.06.029] [Citation(s) in RCA: 24] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/03/2016] [Revised: 06/07/2016] [Accepted: 06/08/2016] [Indexed: 11/27/2022]
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21
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Intrinsic advantages of packed capillaries over narrow-bore columns in very high-pressure gradient liquid chromatography. J Chromatogr A 2016; 1451:107-119. [DOI: 10.1016/j.chroma.2016.05.035] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/01/2016] [Revised: 04/08/2016] [Accepted: 05/08/2016] [Indexed: 11/22/2022]
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22
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Vanderlinden K, Broeckhoven K, Vanderheyden Y, Desmet G. Effect of pre- and post-column band broadening on the performance of high-speed chromatography columns under isocratic and gradient conditions. J Chromatogr A 2016; 1442:73-82. [DOI: 10.1016/j.chroma.2016.03.016] [Citation(s) in RCA: 41] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/25/2016] [Revised: 03/07/2016] [Accepted: 03/07/2016] [Indexed: 11/25/2022]
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23
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Gritti F, Gilar M, Jarrell JA. Achieving quasi-adiabatic thermal environment to maximize resolution power in very high-pressure liquid chromatography: Theory, models, and experiments. J Chromatogr A 2016; 1444:86-98. [DOI: 10.1016/j.chroma.2016.03.070] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/04/2016] [Revised: 03/22/2016] [Accepted: 03/23/2016] [Indexed: 11/29/2022]
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