Recursion approach for moving neutralization boundary formed on IPG strips Part I: With strong alkali rehydration buffer

Moving neutralization boundary (MNB) is an important foundation to understand and improve IEF. However, there are obstacles in theoretical predictions of MNB on IPG strips due to the unknown local concentrations of carrier ampholytes on commercial IPG strips and the time‐varying boundary velocities. We introduce a recursion approach to extend the current MNB theories into the space–time varying MNB system. The recursion approach emphasizes the localizability of physicochemical parameters in the discrete time intervals and local positions in Lagrangian coordinates, such as local concentrations of carrier ampholytes, local OH concentrations, local boundary velocities, local judgments, etc. The boundary‐position recursion equation in a complete time sequence was presented to quantitatively predict the MNB position–time curves by distinguishing three kinds of titration cases according to NaOH concentrations in rehydration buffers. The theoretical position–time curves and local relative judgments of boundaries were satisfactorily validated by corresponding images of boundary migrations achieved from the IPG‐MNB experiments with the some typical NaOH concentrations‐bromophenol blue‐rehydration buffers on pH 4–7 IPG strips. The results achieved herein have evident significances to the development of moving reaction boundary and IEF.

[1]  Yinfa Ma,et al.  Localized single molecule isotherms of DNA molecules at confined liquid-solid interfaces. , 2009, Analytical chemistry.

[2]  C. Cao,et al.  Moving reaction boundary and isoelectric focusing: IV. Systemic study on Hjertén's pH gradient mobilization. , 2009, Journal of separation science.

[3]  Z. Deng,et al.  Quantitative investigations on moving chelation boundary within a continuous EDTA‐based sample sweeping system in capillary electrophoresis , 2008, Electrophoresis.

[4]  Liu-yin Fan,et al.  Review on the theory of moving reaction boundary, electromigration reaction methods and applications in isoelectric focusing and sample pre-concentration. , 2008, The Analyst.

[5]  Heng Liang,et al.  [Non-equilibrium thermodynamic separation theory of nonlinear chromatography. II. The 0-1 model for nonlinear-mass transfer kinetic processes]. , 2007, Se pu = Chinese journal of chromatography.

[6]  Heng Liang.  Non-equilibrium Thermodynamic Separation Theory of Nonlinear Chromatography I. Local Lagrangian Approach , 2007 .

[7]  Lin Zhang,et al.  Proteomic analysis of human NK-92 cells after NK cell-mediated cytotoxicity against K562 cells , 2007, Biochemistry (Moscow).

[8]  P. Righetti,et al.  The Alpher, Bethe and Gamow of IEF, the alpha‐Centaury of electrokinetic methodologies. Part II: Immobilized pH gradients , 2007, Electrophoresis.

[9]  Pier Giorgio Righetti,et al.  The Alpher, Bethe, Gamow of isoelectric focusing, the alpha‐Centaury of electrokinetic methodologies. Part I , 2006, Electrophoresis.

[10]  M. Breadmore,et al.  High-resolution computer simulations of stacking of weak bases using a transient pH boundary in capillary electrophoresis. 1. Concept and impact of sample ionic strength. , 2006, Analytical chemistry.

[11]  Y. Liu,et al.  Recursion equations in predicting band width under gradient elution. , 2004, Journal of chromatography. A.

[12]  Xiaolong Liu,et al.  Lagrangian description of nonlinear chromatography , 2004 .

[13]  J. Landers,et al.  Stacking Neutral Analytes in Capillary Electrokinetic Chromatography with High-Salt Sample Matrixes , 2000 .

[14]  B. Lin,et al.  Integral optimizing functional of separation efficiency , 1999 .

[15]  J P Landers,et al.  A universal concept for stacking neutral analytes in micellar capillary electrophoresis. , 1999, Analytical chemistry.

[16]  B. Lin,et al.  Frameworks of separation theories from two separate worlds : dynamics and thermodynamics , 1998 .

[17]  C. Cao.  Moving chemical reaction boundary and isoelectric focusing.I. Conditional equations for Svensson-Tiselius' differential equation of solute concentration distribution in idealized isoelectric focusing at steady state , 1998 .

[18]  C. Cao.  Comparisons of the mobilities of salt ions obtained by the moving boundary method and two empirical equations in capillary electrophoresis , 1997 .

[19]  L. Bingcheng,et al.  Nonequilibrium thermodynamic separation model in capillary electrophoresis , 1997 .

[20]  P. Boček,et al.  Electrically controlled electrofocusing of ampholytes between two zones of modified electrolyte with two different values of pH , 1993 .

[21]  Pier Giorgio Righetti,et al.  Immobilized Ph Gradients: Theory and Methodology , 1990 .

[22]  A. Murel,et al.  Instability and non-linearity of the pH gradient formed in isoelectric focusing , 1979 .

[23]  P. Righetti,et al.  Aggregation of ampholine on heparin and other acidic polysaccharides in isoelectric focusing. , 1978, Biochimica et biophysica acta.

[24]  P. Righetti,et al.  Binding of polyanions to carrier ampholytes in isoelectric focusing. , 1978, Biochimica et biophysica acta.

[25]  O. Vesterberg.  PHYSICOCHEMICAL PROPERTIES OF THE CARRIER AMPHOLYTES AND SOME BIOCHEMICAL APPLICATIONS * , 1973, Annals of the New York Academy of Sciences.

[26]  J. Deman.  Elutive displacement of precipitate formed during electromigration of ions , 1970 .

[27]  J. Deman.  Precipitation during electromigration of ions , 1970 .

[28]  J. Deman,et al.  Chemical reaction during electromigration of ions , 1970 .

[29]  Pierre Van Rysselberghe,et al.  Introduction to Thermodynamics of Irreversible Processes. , 1956 .

[30]  J. Philpot.  Electrophoresis by the Moving Boundary Method , 1946, Nature.

[31]  H. Toftlund,et al.  JUDGMENT EXPRESSIONS FOR A MOVING CHEMICAL REACTION BOUNDARY AND ISOELECTRIC FOCUSING , 1999 .

[32]  K. Mikkelsen,et al.  MOVING CHEMICAL REACTION BOUNDARY FORMED BY WEAK REACTION ELECTROLYTES : THEORY , 1998 .

[33]  G. Fuhr,et al.  Steady state electrolysis and isoelectric focusing , 1990, Electrophoresis.

[34]  H. Kreuzer.  Nonequilibrium thermodynamics and its statistical foundations , 1981 .

[35]  I. G. Currie.  Fundamental mechanics of fluids , 1974 .

[36]  J. Deman.  SEPARATION OF RARE EARTH IONS BY PRECIPITATION DURING ELECTROMIGRATION. , 1970 .

[37]  O. Vesterberg,et al.  Synthesis and Isoelectric Fractionation of Carrier Ampholytes. , 1969 .

[38]  L. Ehrenberg,et al.  Characterization of Cellulases and Related Enzymes by Isoelectric Focusing, Gel Filtration, and Zone Electrophoresis. I. Aspergillus Enzymes. , 1967 .

[39]  J. Koskikallio,et al.  Isoelectric Fractionation, Analysis, and Characterization of Ampholytes in Natural pH Gradients. II. Buffering Capacity and Conductance of Isoionic Ampholytes. A Correction. , 1962 .

[40]  Harry Svensson,et al.  Isoelectric Fractionation, Analysis, and Characterization of Ampholytes in Natural pH Gradients. I. The Differential Equation of Solute Concentrations at a Steady State and its Solution for Simple Cases. , 1961 .