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Besenhard MO, Tsatse A, Mazzei L, Sorensen E. Recent advances in modelling and control of liquid chromatography. Curr Opin Chem Eng 2021. [DOI: 10.1016/j.coche.2021.100685] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
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2
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Ahmad AG, Perveen S, Qamar S. Numerical approximation of a two-dimensional non-equilibrium model of non-isothermal liquid chromatography considering core-shell particles. J LIQ CHROMATOGR R T 2020. [DOI: 10.1080/10826076.2020.1812641] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Abdulaziz Garba Ahmad
- Department of Mathematics, COMSATS University, Islamabad, Pakistan
- Department of Mathematics Programme, National Mathematical Centre, Abuja, Nigeria
| | - Sadia Perveen
- Department of Mathematics, Air University, Islamabad, Pakistan
| | - Shamsul Qamar
- Department of Mathematics, COMSATS University, Islamabad, Pakistan
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Kumar V, Lenhoff AM. Mechanistic Modeling of Preparative Column Chromatography for Biotherapeutics. Annu Rev Chem Biomol Eng 2020; 11:235-255. [DOI: 10.1146/annurev-chembioeng-102419-125430] [Citation(s) in RCA: 22] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
Chromatography has long been, and remains, the workhorse of downstream processing in the production of biopharmaceuticals. As bioprocessing has matured, there has been a growing trend toward seeking a detailed fundamental understanding of the relevant unit operations, which for some operations include the use of mechanistic modeling in a way similar to its use in the conventional chemical process industries. Mechanistic models of chromatography have been developed for almost a century, but although the essential features are generally understood, the specialization of such models to biopharmaceutical processing includes several areas that require further elucidation. This review outlines the overall approaches used in such modeling and emphasizes current needs, specifically in the context of typical uses of such models; these include selection and improvement of isotherm models and methods to estimate isotherm and transport parameters independently. Further insights are likely to be aided by molecular-level modeling, as well as by the copious amounts of empirical data available for existing processes.
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Affiliation(s)
- Vijesh Kumar
- Department of Chemical and Biomolecular Engineering, University of Delaware, Newark, Delaware 19716, USA
| | - Abraham M. Lenhoff
- Department of Chemical and Biomolecular Engineering, University of Delaware, Newark, Delaware 19716, USA
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Brhane KW, Qamar S. Numerical approximation of a two-dimensional model of non-isothermal reactive liquid chromatography involving slow rates of adsorption–desorption kinetics. J LIQ CHROMATOGR R T 2020. [DOI: 10.1080/10826076.2020.1744162] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- Kewani Welay Brhane
- Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
- Department of Mathematics, Mekelle University, Mekelle, Ethiopia
| | - Shamsul Qamar
- Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
- Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany
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Brhane KW, Qamar S. Two-dimensional general rate model for non-isothermal liquid chromatography considering finite rates of adsorption–desorption kinetics. J LIQ CHROMATOGR R T 2020. [DOI: 10.1080/10826076.2020.1713803] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
Affiliation(s)
- Kewani Welay Brhane
- Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
- Department of Mathematics, Mekelle University, Mekelle, Ethiopia
| | - Shamsul Qamar
- Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
- Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany
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Analytical solution of non-isothermal two-dimensional general rate model of liquid chromatography. ADSORPTION 2019. [DOI: 10.1007/s10450-019-00160-z] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Uche UD, Qamar S, Seidel‐Morgenstern A. Analysis of two‐dimensional models for liquid chromatographic reactors of cylindrical geometry. INT J CHEM KINET 2019. [DOI: 10.1002/kin.21277] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Affiliation(s)
- Ugochukwu David Uche
- Department of MathematicsCOMSATS UniversityIslamabad Pakistan
- Department of Mathematics ProgrammeNational Mathematical Centre AbujaNigeria
| | - Shamsul Qamar
- Department of MathematicsCOMSATS UniversityIslamabad Pakistan
- Max Planck Institute for Dynamics of Complex Technical SystemsMagdeburg Germany
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Doğu G, Doğu T. Fifty Years of Moment Technique for Dynamic Analysis of Chemical Reactor Parameters. INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING 2019. [DOI: 10.1515/ijcre-2018-0142] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
Abstract
Moment technique has been extensively used for the evaluation of the rate and equilibrium parameters in chemical reactors and also in adsorption vessels, for about five decades. Adsorption and reaction rate parameters, as well as axial dispersion constants, effective diffusivities within porous catalysts and heat and mass transfer coefficients were shown to be effectively evaluated by analyzing the moments of the response peaks, which could be obtained from pulse-response experiments performed in a reaction/adsorption vessel. A detailed review of chromatographic processes, involving moment analysis of adsorption equilibrium and rate constants in fixed beds, dynamic analysis of batch adsorbers, moment analysis of fluidized bed, slurry and trickle bed reactors are reported in this manuscript. Applications of the single-pellet moment technique, which was developed for the effective investigation of intrapellet rate and equilibrium processes, by eliminating the contributions of axial dispersion and external transport parameters, are comprehensively discussed. Recent studies for the analysis of reaction rate parameters using the TAP reactor approach, use of single pellet system for the investigation of catalytic and non-catalytic solid-gas reactions and extension of the moment technique to non-linear systems opened new pathways in reaction engineering research.
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Brhane KW, Qamar S, Seidel-Morgenstern A. Two-Dimensional General Rate Model of Liquid Chromatography Incorporating Finite Rates of Adsorption–Desorption Kinetics and Core–Shell Particles. Ind Eng Chem Res 2019. [DOI: 10.1021/acs.iecr.9b00364] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Kewani Welay Brhane
- Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan
- Department of Mathematics, Mekelle University, Mekelle, Ethiopia
| | - Shamsul Qamar
- Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan
- Max Planck Institute for Dynamics of Complex Technical Systems, 39106 Magdeburg, Germany
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