Bi-Langmuir Isotherms' Applicability for Description of Interaction of Ion-Exchange Sorbents with Protein Mixtures

Demin, A. A.; Melenevsky, A. T.

doi:10.1093/chromsci/44.4.181

Cited by 6 publications

(3 citation statements)

References 16 publications

(14 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here, we consider the nonlinear Bi-Langmuir isotherm. This isotherm was derived theoretically by assuming that the surface of adsorbent is covered by two completely independent group of adsorption sites [20][21][22]. For a mixture of N c components, the competitive Bi-Langmuir isotherm is expressed as…”

Section: The Non Linear Kinetic Lump Model (Klm)mentioning

confidence: 99%

Numerical approximation of non-linear chromatographic models considering Bi-Langmuir isotherm

et al. 2022

View full text Add to dashboard Cite

In this research article, two standard models of liquid chromatograophy, namely the dispersive equilibrium model (DEM) and the kinetic lumped model (KLM) are approximated numerically. We studied the transport of multi components in a single column of chromatography considering non linear adsorption thermodynamics. The models are analyzed for standard Bi-Langmuir and generalized Bi-Langmuir types adsorption equilibrium isotherms using Danckwert (Robin) boundary conditions. Mathematically, the model equations form a non linear system of partial differential equations accounting for the phenomena of advection and diffusion, paired with an algebraic equation or a differential equation for adsorption isotherm. An extended semi-discrete high-resolution finite volume scheme is employed to obtain the approximate solutions of the governing model equations. The method has second to third order accuracy. Several test case studies are conducted to examine the influence of various critical parameters on the process performance. The contemplated case studies incorporate the elution process of liquid chromatography with an increasing number of components. In particular, single component, two component and three component mixtures are considered for the assessment of process performance. The formulated numerical algorithm provide an efficacious mechanism for investigating the retention behavior and the influence of mass transfer kinetics on the shapes of elution profiles.

show abstract

Section: The Non Linear Kinetic Lump Model (Klm)mentioning

confidence: 99%

Numerical approximation of non-linear chromatographic models considering Bi-Langmuir isotherm

et al. 2022

View full text Add to dashboard Cite

show abstract

“…It might be seen that the bigger the difference between sorption capacities is the higher the sorption selectivity should be during the multicomponent process. However, as [12] shows, the speculation about multicomponent sorption based on data obtained for individual proteins is possible only in case of competition for a limited number of sorption centers. Without the replacement of a protein by another one the final protein composition in the sorbent phase is determined by kinetics of sorption process.…”

Section: Sorption Isotherms and Dependence On The Ph Valuementioning

confidence: 99%

Cation exchangers for selective sorption of large proteins

Ochkur

Demin

2007

Journal of Chromatography B

View full text Add to dashboard Cite

“…The main focus of this paper revolves around the numerical approximation of a nonlinear GRM applied to inert solid core particles. In particular, the paper concentrates on core–shell particles that exhibit heterogeneity in the adsorbent surface, distinguished by the bi-Langmuir adsorption isotherm. – The paramount innovation presented in this paper lies in the extensive array of features encapsulated within the one-dimensional model for nonlinear chromatography, elucidated through the acquired numerical solutions. The nonlinear general rate model (GRM) comprises a set of partial differential equations (PDEs) for which a closed-form solution does not exist.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Investigation of the Nonlinear General Rate Model with the Bi-Langmuir Adsorption Isotherm Using Core–Shell Adsorbents

Rasheed,

Perveen,

Qamar

2023

ACS Omega

View full text Add to dashboard Cite

Core−shell particles enable the separation of intricate mixtures in a highly efficient and rapid manner. The porous shell particles increased the separation efficiency with expedited flow rates due to an abatement in the pore volume accessible for longitudinal diffusion and a decrease in diffusion path length. This study focuses on the numerical approximation of a nonlinear isothermal general rate model applied to stationary bed columns that are replete with inert core adsorbents featuring double adsorption sites. The transport of solute in heterogeneous porous media can be modeled by a nonlinear convection acquiescent partial differential equation system together with a specific nonlinear algebraic relation: the bi-Langmuir adsorption isotherm. Therefore, it is important to develop accurate and reliable numerical techniques that can perform accurate numerical simulations of these models. We extended and implemented a second-order, semidiscrete, high-resolution finite volume method to simulate the governing equations of the model. Single solute flow and multi component mixture flows are assessed through a series of numerical experiments to theoretically illustrate the repercussions of intraparticle diffusion, film mass resistance, axial dispersion, and the size of the inert core radius upon simulated elution curves. Standard performance criteria are assessed to determine the optimal core radius fraction range for optimizing the separation performance.

show abstract

Bi-Langmuir Isotherms' Applicability for Description of Interaction of Ion-Exchange Sorbents with Protein Mixtures

Cited by 6 publications

References 16 publications

Numerical approximation of non-linear chromatographic models considering Bi-Langmuir isotherm

Numerical approximation of non-linear chromatographic models considering Bi-Langmuir isotherm

Cation exchangers for selective sorption of large proteins

Theoretical Investigation of the Nonlinear General Rate Model with the Bi-Langmuir Adsorption Isotherm Using Core–Shell Adsorbents

Contact Info

Product

Resources

About