Numerical simulation of chemical separations using multimodal adsorption isotherms

High demand for next-generation biotherapeutics requires the development of novel adsorptive chromatography media to ensure high-volume throughput of purified product. These media use multiple modes of interaction with the product to recover it selectively from impurities in the solution, leading to...

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Main Authors: A.B. Wilson, E.W. Jenkins, J. Wang, S.M. Husson
Format: Article
Language:English
Published: Elsevier 2020-08-01
Series:Results in Applied Mathematics
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037420300327
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author A.B. Wilson
E.W. Jenkins
J. Wang
S.M. Husson
author_facet A.B. Wilson
E.W. Jenkins
J. Wang
S.M. Husson
author_sort A.B. Wilson
collection DOAJ
description High demand for next-generation biotherapeutics requires the development of novel adsorptive chromatography media to ensure high-volume throughput of purified product. These media use multiple modes of interaction with the product to recover it selectively from impurities in the solution, leading to mathematically complex models to describe the adsorption process. This work describes a simulation environment designed to handle the new isotherm relationships. The main advantage of the simulation algorithm is it allows isotherm models in which the solid phase concentration is defined implicitly in terms of the liquid phase concentration. Numerical results indicate optimal convergence of the method and show the effectiveness of the framework in matching experimental data. Simulations using both instantaneous and non-instantaneous adsorption model equations are provided.
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spelling doaj.art-12b3429f5bf443d9b17cab38d82771102022-12-21T19:26:28ZengElsevierResults in Applied Mathematics2590-03742020-08-017100122Numerical simulation of chemical separations using multimodal adsorption isothermsA.B. Wilson0E.W. Jenkins1J. Wang2S.M. Husson3Department of Mathematics, Augusta University, Allgood Hall N-322, 1120 15th Street, Augusta, GA 30912, USA; Corresponding author.School of Mathematical and Statistical Sciences, Clemson University, Clemson, SC 29634, USADepartment of Chemical and Biomolecular Engineering, Center for Advanced Engineering Fibers and Films, Clemson University, 127 Earle Hall, Clemson, SC 29634, USADepartment of Chemical and Biomolecular Engineering, Center for Advanced Engineering Fibers and Films, Clemson University, 127 Earle Hall, Clemson, SC 29634, USAHigh demand for next-generation biotherapeutics requires the development of novel adsorptive chromatography media to ensure high-volume throughput of purified product. These media use multiple modes of interaction with the product to recover it selectively from impurities in the solution, leading to mathematically complex models to describe the adsorption process. This work describes a simulation environment designed to handle the new isotherm relationships. The main advantage of the simulation algorithm is it allows isotherm models in which the solid phase concentration is defined implicitly in terms of the liquid phase concentration. Numerical results indicate optimal convergence of the method and show the effectiveness of the framework in matching experimental data. Simulations using both instantaneous and non-instantaneous adsorption model equations are provided.http://www.sciencedirect.com/science/article/pii/S2590037420300327
spellingShingle A.B. Wilson
E.W. Jenkins
J. Wang
S.M. Husson
Numerical simulation of chemical separations using multimodal adsorption isotherms
Results in Applied Mathematics
title Numerical simulation of chemical separations using multimodal adsorption isotherms
title_full Numerical simulation of chemical separations using multimodal adsorption isotherms
title_fullStr Numerical simulation of chemical separations using multimodal adsorption isotherms
title_full_unstemmed Numerical simulation of chemical separations using multimodal adsorption isotherms
title_short Numerical simulation of chemical separations using multimodal adsorption isotherms
title_sort numerical simulation of chemical separations using multimodal adsorption isotherms
url http://www.sciencedirect.com/science/article/pii/S2590037420300327
work_keys_str_mv AT abwilson numericalsimulationofchemicalseparationsusingmultimodaladsorptionisotherms
AT ewjenkins numericalsimulationofchemicalseparationsusingmultimodaladsorptionisotherms
AT jwang numericalsimulationofchemicalseparationsusingmultimodaladsorptionisotherms
AT smhusson numericalsimulationofchemicalseparationsusingmultimodaladsorptionisotherms