Numerical solutions for isoelectric focusing and isotachophoresis problems

Chou, Ying; Yang, Ruey-Jen

doi:10.1016/j.chroma.2009.11.044

Cited by 10 publications

(15 citation statements)

References 29 publications

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“…Figure shows that zone boundary thickness computed using dissipative schemes of Sounart and Baygents , Yu et al. , and Chou and Yang shows strong dependence on grid size. For a higher number of grid points, the numerical dissipation in dissipative schemes decreases and improves the prediction of zone boundary thickness.…”

Section: Resultsmentioning

confidence: 91%

“…, Bercovici et al. , and Chou and Yang . We used the same simulation conditions as those in the aforementioned numerical studies.…”

Section: Resultsmentioning

confidence: 99%

“… and the PLPE 1 scheme of Sounart and Baygents are less dissipative than the upwind scheme. The CESE scheme with adaptive grid refinement (AMR‐CESE scheme of Chou and Yang ) shows improved accuracy compared to the CESE scheme and follows a convergence trend similar to the PLPE 1 scheme. The high resolution adaptive grid ( HIRAG ) scheme of Bercovici et al.…”

Section: Resultsmentioning

confidence: 99%

“…However, the PLPE1 scheme is based on a uniform grid and the effects of numerical dissipation necessitate a number of grid points similar to that required by the second‐order central scheme to obtain a converged solution. Recently Chou and Yang proposed a space–time conservation element solution element scheme with adaptive mesh refinement (AMR‐CESE) for simulations of nonlinear electrokinetic processes at high electric fields. The AMR‐CESE scheme also adds limited numerical dissipation to ensure nonoscillatory behavior and provides more accurate solutions than the upwind scheme.…”

Section: Introductionmentioning

confidence: 99%

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Robust and high‐resolution simulations of nonlinear electrokinetic processes in variable cross‐section channels

2012

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We present a model and an associated numerical scheme to simulate complex electrokinetic processes in channels with nonuniform cross-sectional area. We develop a quasi-1D model based on local cross-sectional area averaging of the equations describing unsteady, multispecies, electromigration-diffusion transport. Our approach uses techniques of lubrication theory to approximate electrokinetic flows in channels with arbitrary variations in cross-section; and we include chemical equilibrium calculations for weak electrolytes, Taylor-Aris type dispersion due of nonuniform bulk flow, and the effects of ionic strength on species mobility and on acid-base equilibrium constants. To solve the quasi-1D governing equations, we provide a dissipative finite volume scheme that adds numerical dissipation at selective locations to ensure both unconditional stability and high accuracy. We couple the numerical scheme with a novel adaptive grid refinement algorithm that further improves the accuracy of simulations by minimizing numerical dissipation. We benchmark our numerical scheme with existing numerical schemes by simulating nonlinear electrokinetic problems, including ITP and electromigration dispersion in CZE. Simulation results show that our approach yields fast, stable, and high-resolution solutions using an order of magnitude less grid points compared to the existing dissipative schemes. To highlight our model's capabilities, we demonstrate simulations that predict increase in detection sensitivity of ITP in converging cross-sectional area channels. We also show that our simulations of ITP in variable cross-sectional area channels have very good quantitative agreement with published experimental data.

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Section: Resultsmentioning

confidence: 91%

“…, Bercovici et al. , and Chou and Yang . We used the same simulation conditions as those in the aforementioned numerical studies.…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Robust and high‐resolution simulations of nonlinear electrokinetic processes in variable cross‐section channels

2012

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“…The theoretical basis of different electrophoretic systems is examined by Chou and Yang [83] using a space-time conservation element assimilated with an adaptive mesh redistribution scheme (AMR-CESE). By assigning initial conditions, such as parameters of analytes, applied voltage, and grid size, the end time can be ascertained, as well as the concentration, pH, profile, and conductivity distribution within the channel.…”

Section: Itpmentioning

confidence: 99%

Recent developments in electrophoretic separations on microfluidic devices

2011

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Research combining the areas of separation science and microfluidics has gained popularity, driven by the increasing need to create portable, fast, and low analyte-consumption devices. Much of this research has focused on the developments in electrophoretic separations, which use the electrokinetic properties of analytes to overcome many of the problems encountered during system scale-down. In addition, new physical phenomenon can be exploited on the microscale not available in standard techniques. In this study, the innovative developments, including electrophoretic concentration, sample preparation/conditioning, and separation on-chip are reviewed, along with some introductory discussions, from January 2008 to July 2010.

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Recent progress in analytical capillary isotachophoresis

2010

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Capillary ITP is currently used as one of the most important tools for preseparation and preconcentration of trace analytes in complex or diluted samples. This contribution is a continuation of a series of regularly published reviews on the topic and covers the last 2 years. It brings a survey of related literature organized into following sections: theory and methodology, instrumentation and techniques, and applications.

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Numerical solutions for isoelectric focusing and isotachophoresis problems

Cited by 10 publications

References 29 publications

Robust and high‐resolution simulations of nonlinear electrokinetic processes in variable cross‐section channels

Robust and high‐resolution simulations of nonlinear electrokinetic processes in variable cross‐section channels

Recent developments in electrophoretic separations on microfluidic devices

Recent progress in analytical capillary isotachophoresis

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