Evaluation of nonlinear chromatographic performance by frontal analysis using a simple multi-plate mathematical model

Wu, Hao; Wang, Junde

doi:10.1016/j.chroma.2004.11.065

Cited by 11 publications

(12 citation statements)

References 36 publications

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“…(3) presented in ref. [25], we have the following equation to describe the late region of the breakthrough curve…”

Section: The Mp Model For Scmmentioning

confidence: 99%

“…The MP model assumes the chromatographic process as that occurring in a series of theoretical plates [25]. For SCM, similar to Eq.…”

Section: The Mp Model For Scmmentioning

confidence: 99%

“…[25], assuming the equilibrium of the solute between stationary and mobile phases to be accounted for by the Langmuir isotherm, we obtain the MP model for SCM …”

Section: The Mp Model For Scmmentioning

confidence: 99%

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Investigation of the concentration dependence of mass transfer coefficients in reversed-phase liquid chromatography

Wang

Zhang

2006

J. Sep. Sci.

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In order to investigate the concentration dependence of mass transfer coefficients in RPLC, experimental breakthrough curves obtained by staircase frontal analysis (FA) were fitted to the simplified models such as multiplate (MP) model, equilibrium dispersive (ED) model, and transport model, and the sophisticated models such as lumped pore diffusion (POR) model and general rate (GR) model. The MP model was used to obtain the initial guesses of the parameters of the ED and the transport models. Then the best values were obtained by minimizing the differences between theoretical and experimental values with a nonlinear fitting procedure. The values of the parameters of the POR and the GR models can be calculated by using the expressions derived from the plate height equations, which was further validated by using the fitting method. It was found that the mass transfer coefficients would depend on the solute concentration. This can be ascribed to the surface diffusivity, which correlates with the concentration and is lumped into the mass transfer coefficients for both simplified and sophisticated models.

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“…(3) presented in ref. [25], we have the following equation to describe the late region of the breakthrough curve…”

Section: The Mp Model For Scmmentioning

confidence: 99%

“…The MP model assumes the chromatographic process as that occurring in a series of theoretical plates [25]. For SCM, similar to Eq.…”

Section: The Mp Model For Scmmentioning

confidence: 99%

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Investigation of the concentration dependence of mass transfer coefficients in reversed-phase liquid chromatography

Wang

Zhang

2006

J. Sep. Sci.

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“…Traditionally, as a very useful and powerful method, it has been widely used to determine thermodynamic and kinetic parameters under industrial processing conditions. [3][4][5][6][7][8][9][10] Since the eighties of the 20th century, it has been widely used to determine the adsorption isotherms of many expensive proteins, [11][12][13][14][15][16][17][18][19][20] and of late years, as a convenient and effectual tool, it has also been used to study drug-protein binding interaction. [21][22][23][24][25] Although the analytical solution or numerical solution of breakthrough curve equation can be separately derived through their differential equation or numerical analysis, it is, in many cases, very inconvenient to use them to solve some practical applications due to the complicated form of analytical solution or to the convergence property of the numerical analysis.…”

Section: Introductionmentioning

confidence: 99%

A Simple Frontal Analysis Equation to Determine the Adsorption Parameters of Solute Molecules on Different Adsorbents

2007

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A simple frontal analysis equation to determine the adsorption parameters of solute molecules on different adsorbents was presented. It gives the relationship between the average breakthrough time and the feed solute concentration, and by using its linear form, two important parameters, the thermodynamic equilibrium constant K SL for solute adsorption on the surface of adsorbent and the number n t of total adsorption sites distributed on the surface of adsorbent, can be simultaneously determined. The frontal analyses for some aromatic hydrocarbons on RP-C 18 reversed-phase medium, and some protein molecules on RP-C 18 reversed-phase, WCX-1 cation-exchange, PEG-400 hydrophobic and Che1ating Sepharose Fast-flow separately chelated with Zn 2＋ or Cu 2＋ media, were separately carried out to test this equation and their adsorption parameters K SL and n t were separately obtained. The results show that all these frontal analysis data can be well described by this frontal analysis equation. For all of these frontal analysis systems, their parameters n t can separately approximately keep constant and they are independent of solute molecules used, while their parameters K SL are dependent upon both of the media packed in frontal analysis column and the solute molecules used.

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“…For the solution of the direct problem Thomas' model is used, which provides accurate results when the effects of axial dispersion are negligible in comparison with other mass transfer mechanisms [7,22,23].…”

Section: Introductionmentioning

confidence: 99%

Solution of an inverse adsorption problem with an epidemic genetic algorithm and the generalized extremal optimization algorithm

Cuco

Neto

Velho

et al. 2009

Inverse Problems in Science and Engineering

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In the present work two recently developed stochastic methods, the epidemic genetic algorithm and the generalized extremal optimization algorithm are used for the solution of an inverse mass transfer problem, which is implicitly formulated as an optimization problem, for the estimation of parameters associated with the adsorption of biomolecules in resin beds. The estimates obtained with both methods present good accuracy, even in the presence of noisy data, provided that the model and experiment used are sensitive to the parameters being estimated. With Thomas' model for the direct mass transfer problem and real experimental data for lisozyme in adsorption columns, it is possible to estimate the maximum adsorption capacity in Langmuir's adsorption isotherm.

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Evaluation of nonlinear chromatographic performance by frontal analysis using a simple multi-plate mathematical model

Cited by 11 publications

References 36 publications

Investigation of the concentration dependence of mass transfer coefficients in reversed-phase liquid chromatography

Investigation of the concentration dependence of mass transfer coefficients in reversed-phase liquid chromatography

A Simple Frontal Analysis Equation to Determine the Adsorption Parameters of Solute Molecules on Different Adsorbents

Solution of an inverse adsorption problem with an epidemic genetic algorithm and the generalized extremal optimization algorithm

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