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Katsoulas K, Tirapelle M, Sorensen E, Mazzei L. On the apparent dispersion coefficient of the equilibrium dispersion model: An asymptotic analysis. J Chromatogr A 2023; 1708:464345. [PMID: 37708672 DOI: 10.1016/j.chroma.2023.464345] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/11/2023] [Revised: 08/29/2023] [Accepted: 08/29/2023] [Indexed: 09/16/2023]
Abstract
To model chromatography, researchers have developed several approaches. These cover a broad range of applications and, depending on the assumptions adopted, have different levels of accuracy. In general, the most suitable modelling approach is the simplest that can describe a process with the desired accuracy. A model that often meets this criterion is the equilibrium dispersion model (EDM). This features one mass balance equation per analyte, including an axial dispersion term, and assumes the analyte concentrations in the mobile and stationary phases to be in local equilibrium. To account for the finite mass transfer rate between the phases, the model employs an apparent dispersion coefficient. Two expressions are available for this coefficient, one being used much more frequently than the other. In this paper, we aimed to clarify which one should be favoured. A desirable feature of simple models is that they can be derived from more general ones with appropriate physical assumptions and rigorous mathematical methods. Thus, to answer our research question, we derived the EDM from the more general pore diffusion model (POR), using an asymptotic method. The expression obtained for the apparent dispersion coefficient does agree with one of the two reported in the literature - the less frequently used. To test the validity of this expression, we simulated elution profiles using the two versions of the EDM and compared the results against those from the POR model. The simulations were conducted in the range where the POR and EDM models should be essentially equivalent, their results confirming the outcome of the asymptotic analysis. This work offers a solid theoretical grounding for the EDM, clarifies which formulation of the model is correct, and provides usable applicability conditions for the model.
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Affiliation(s)
- Konstantinos Katsoulas
- Department of Chemical Engineering, Sargent Centre for Process Systems Engineering, University College London, Torrington Place, London WC1E 7JE, UK
| | - Monica Tirapelle
- Department of Chemical Engineering, Sargent Centre for Process Systems Engineering, University College London, Torrington Place, London WC1E 7JE, UK
| | - Eva Sorensen
- Department of Chemical Engineering, Sargent Centre for Process Systems Engineering, University College London, Torrington Place, London WC1E 7JE, UK
| | - Luca Mazzei
- Department of Chemical Engineering, Sargent Centre for Process Systems Engineering, University College London, Torrington Place, London WC1E 7JE, UK.
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Koch J, Scheps D, Gunne M, Boscheinen O, Frech C. Mechanistic modeling of cation exchange chromatography scale-up considering packing inhomogeneities. J Sep Sci 2023; 46:e2300031. [PMID: 36846902 DOI: 10.1002/jssc.202300031] [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: 01/16/2023] [Revised: 02/24/2023] [Accepted: 02/25/2023] [Indexed: 03/01/2023]
Abstract
In process development and characterization, the scale-up of chromatographic steps is a crucial part and brings a number of challenges. Usually, scale-down models are used to represent the process step, and constant column properties are assumed. The scaling is then typically based on the concept of linear scale-up. In this work, a mechanistic model describing an anti-Langmuirian to Langmuirian elution behavior of a polypeptide, calibrated with a pre-packed 1 ml column, is applied to demonstrate the scalability to larger column volumes up to 28.2 ml. Using individual column parameters for each column size, scaling to similar eluting salt concentrations, peak heights, and shapes is experimentally demonstrated by considering the model's relationship between the normalized gradient slope and the eluting salt concentration. Further scale-up simulations show improved model predictions when radial inhomogeneities in packing quality are considered.
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Affiliation(s)
- Jonas Koch
- Department of Biotechnology, Institute for Biochemistry, University of Applied Sciences, Mannheim, Germany
| | - Daniel Scheps
- CMC Microbial Platform, Sanofi-Aventis Deutschland GmbH, Frankfurt am Main, Germany
| | - Matthias Gunne
- IA MSAT M&I DS, Sanofi-Aventis Deutschland GmbH, Frankfurt am Main, Germany
| | - Oliver Boscheinen
- CMC Microbial Platform, Sanofi-Aventis Deutschland GmbH, Frankfurt am Main, Germany
| | - Christian Frech
- Department of Biotechnology, Institute for Biochemistry, University of Applied Sciences, Mannheim, Germany
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Almaz Z, Oztekin A, Abul N, Gerni S, Erel D, Kocak SM, Sengül ME, Ozdemir H. A new approach for affinity-based purification of horseradish peroxidase. Biotechnol Appl Biochem 2020; 68:102-113. [PMID: 32060967 DOI: 10.1002/bab.1899] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/09/2019] [Accepted: 02/13/2020] [Indexed: 01/10/2023]
Abstract
We have developed efficient procedure for isolation of horseradish peroxidase (HRP) using aminobenzohydrazide-based affinity chromatography. Sepharose 4B-bounded aminobenzohydrazides are suitable for long-term use and large-scale purification. In this study, 26 aminobenzohydrazide derivatives were synthesized, characterized and defined as new HRP inhibitors. In addition, detailed inhibition effects of these molecules on HRP enzyme were investigated. Affinity matrix was formed by bonding aminobenzohydrazides, which exhibited inhibitory activity to sepharose-4B-l-tyrosine. HRP was isolated from crude homogenate in single step and purification factors were recorded as 1,151-fold (recovery of 8.5%) with 4-amino 3-bromo benzohydrazide and as 166.16-fold (recovery of 16.67 %) with 3-amino 4-chloro benzohydrazide.
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Affiliation(s)
- Zuleyha Almaz
- Molecular Biology and Genetics Department, Faculty of Science and Literature, Mus Alparslan University, Mus, Turkey
| | - Aykut Oztekin
- Department of Medical Services and Techniques, Vocational School of Health Services, Agri Ibrahim Cecen University, Agri, Turkey
| | - Nurgul Abul
- Department of Chemistry, Science Faculty, Atatürk University, Erzurum, Turkey
| | - Serpil Gerni
- Department of Chemistry, Science Faculty, Atatürk University, Erzurum, Turkey
| | - Deniz Erel
- Department of Chemistry, Science Faculty, Atatürk University, Erzurum, Turkey
| | - Seyma Mehtap Kocak
- Department of Chemistry, Science Faculty, Atatürk University, Erzurum, Turkey
| | - Mehmet Emin Sengül
- Department of Chemistry, Science Faculty, Atatürk University, Erzurum, Turkey
| | - Hasan Ozdemir
- Department of Chemistry, Science Faculty, Atatürk University, Erzurum, Turkey
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Tarafder A, Hudalla C, Iraneta P, Fountain KJ. A scaling rule in supercritical fluid chromatography. I. Theory for isocratic systems. J Chromatogr A 2014; 1362:278-93. [DOI: 10.1016/j.chroma.2014.08.009] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/25/2014] [Revised: 07/11/2014] [Accepted: 08/03/2014] [Indexed: 10/24/2022]
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Purification of Peroxidase from Red Cabbage (Brassica oleracea var. capitata f. rubra) by Affinity Chromatography. Appl Biochem Biotechnol 2014; 173:1815-28. [DOI: 10.1007/s12010-014-0968-1] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/11/2014] [Accepted: 05/16/2014] [Indexed: 10/25/2022]
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Gu T, Iyer G, Cheng KSC. Parameter estimation and rate model simulation of partial breakthrough of bovine serum albumin on a column packed with large Q Sepharose anion-exchange particles. Sep Purif Technol 2013. [DOI: 10.1016/j.seppur.2013.06.004] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Chromatography modelling to describe protein adsorption at bead level. J Chromatogr A 2013; 1284:44-52. [DOI: 10.1016/j.chroma.2013.01.102] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/26/2012] [Revised: 01/15/2013] [Accepted: 01/26/2013] [Indexed: 11/22/2022]
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Chhatre S. Modelling approaches for bio-manufacturing operations. ADVANCES IN BIOCHEMICAL ENGINEERING/BIOTECHNOLOGY 2012. [PMID: 23183689 DOI: 10.1007/10_2012_170] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/20/2023]
Abstract
Fast and cost-effective methods are needed to reduce the time and money needed for drug commercialisation and to determine the risks involved in adopting specific manufacturing strategies. Simulations offer one such approach for exploring design spaces before significant process development is carried out and can be used from the very earliest development stages through to scale-up and optimisation of operating conditions and resource deployment patterns both before and after plant start-up. The advantages this brings in terms of financial savings can be considerable, but to achieve these requires a full appreciation of the complexities of processes and how best to represent them mathematically within the context of in silico software. This chapter provides a summary of some of the work that has been carried out in the areas of mathematical modelling and discrete event simulations for production, recovery and purification operations when designing bio-pharmaceutical processes, looking at both financial and technical modelling.
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Affiliation(s)
- Sunil Chhatre
- The Advanced Centre for Biochemical Engineering, University College London, Gower Street, London, WC1E 7JE, UK,
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Sandoval G, Andrews BA, Asenjo JA. Elution relationships to model affinity chromatography using a general rate model. J Mol Recognit 2012; 25:571-9. [DOI: 10.1002/jmr.2223] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Lienqueo ME, Mahn A, Salgado JC, Shene C. Mathematical Modeling of Protein Chromatograms. Chem Eng Technol 2011. [DOI: 10.1002/ceat.201100282] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Hashim M, Chu K. Modeling the performance of protein-A affinity columns using asymptotic solutions. Sep Purif Technol 2009. [DOI: 10.1016/j.seppur.2009.04.022] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Hashim M, Chu K. Prediction of protein breakthrough behavior using simplified analytical solutions. Sep Purif Technol 2007. [DOI: 10.1016/j.seppur.2006.06.028] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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