Protein labeling reactions in electrochemical microchannel flow: Numerical simulation and uncertainty propagation

Physics of Fluids

Volumn 15, Issue 8, 2003, Pages 2238-2250

  Debusschere, Bert J ^a   Najm, Habib N ^a   Matta, Alain ^b   Knio, Omar M ^b   Ghanem, Roger G ^b   Le Maître, Olivier P ^c  

^a SANDIA NATIONAL LABORATORIES   (United States)

^b JOHNS HOPKINS UNIVERSITY   (United States)

^c UNIVERSITÉ D EVRY VAL D ESSONNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; ELECTROCHEMISTRY; GALERKIN METHODS; PROTEINS;

MICROCHANNEL FLOW;

CHANNEL FLOW;

CHANNEL FLOW; ELECTROCHEMICAL PROCESS; FLUID FLOW; MATHEMATICAL MODELING; PROTEIN; TWO-DIMENSIONAL FLOW;

EID: 0041782621     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1582857     Document Type: Article

References (29)

1. W. Thormann and R. Mosher, "Theory of elecrophoretic transport and separations: The study of electrophoretic boundaries and fundamental separation principles by computer simulation," in Advances of Electrophoresis, edited by A. Chrambach, M. J. Dunn, and B. J. Radola (VCH, Weinheim, Germany, 1998), Vol. 2, pp. 45-108.
2. G. Roberts, P. Rhodes, and R. Snyder, "Dispersion effects in capillary zone electrophoresis," J. Chromatogr. 480, 35 (1989).
3. M. Bier, O. Palusinski, R. Mosher, and D. Saville, "Electrophoresis: Mathematical modeling and computer simulation," Science 219, 1281 (1983).
4. O. Palusinski, A. Graham, R. Mosher, M. Bier, and D. Saville, "Theory of electrophoretic separation. Part II: Construction of a numerical simulation scheme and its application," AIChE J. 32, 215 (1986).
5. S. Ermakov and P. Righetti, "Computer simulation for capillary zone electrophoresis, a quantitative approach," J. Chromatogr., A 667, 257 (1994).
6. C. Shafer-Nielsen, "A computer model for time-based simulation of electrophoresis systems with freely defined initial and boundary conditions," Electrophoresis 16, 1369 (1995).
7. V. McGuffin and M. Tavares, "Computer assisted optimization of separations in capillary zone electrophoresis," Anal. Chem. 69, 152 (1997).
8. W. Thormann, C.-X. Zhang, J. Caslavska, P. Gebauer, and R. Mosher, "Modeling of the impact of ionic strength on the electroosmotic flow in capillary electrophoresis with uniform and discontinuous buffer systems," Anal. Chem. 70, 549 (1998).
9. N. Patankar and H. Hu, "Numerical simulation of electroosmotic flow," Anal. Chem. 70, 1870 (1998).
10. S. Ermakov, S. Jacobson, and J. Ramsey, "Computer simulations of electrokinetic transport in microfabricated channel structures," Anal. Chem. 70, 4494 (1998).
11. S. Ermakov, S. Jacobson, and J. Ramsey, "Computer simulations of electrokinetic injection techniques in microfluidic devices," Anal. Chem. 72, 3512 (2000).
12. Q. Mao, J. Pawliszyn, and W. Thormann, "Dynamics of capillary isoelectric focusing in the absence of fluid flow: High-resolution computer simulation and experiment validation with whole column optical imaging," Anal. Chem. 72, 5493 (2000).
13. V. Andreev, N. Pliss, and P. Righetti, "Computer simulation of affinity capillary electrophoresis," Electrophoresis 23, 889 (2002).
14. R. Ghanem and P. Spanos, Stochastic Finite Elements: A Spectral Approach (Springer, New York, 1991).
15. N. Wiener, "The homogeneous chaos," Am. J. Math. 60, 897 (1938).
16. O. Le Maitre, M. Reagan, H. Najm, R. Ghanem, and O. Knio, "A stochastic projection method for fluid flow II. Random process," J. Comput. Phys. 181, 9 (2002).
17. R. Probstein, Physicochemical Hydrodynamics: An Introduction, 2nd ed (Wiley, New York, 1994).
18. Q.-H. Wan, "Effect of electroosmotic flow on the electrical conductivity of packed capillary columns," J. Phys. Chem. B 101, 4860 (1997).
19. P. Scales, F. Grieser, T. Healy, L. White, and D. Chan, "Electrokinetics of the silica-solution interface: A flat plate streaming potential study," Langmuir 8, 965 (1992).
20. R. Mosher, D. Dewey, W. Thormann, D. Saville, and M. Bier, "Computer simulation and experiment validation of the electrophoretic behavior of proteins," Anal. Chem. 61, 362 (1989).
21. R. Mosher, P. Gebauer, and W. Thormann, "Computer simulation and experimental validation of the electrophoretic behavior of proteins. III. Use of titration data predicted by the protein's amino acid composition," J. Chromatogr. 638, 155 (1993).
22. S. Ermakov, M. Zhukov, L. Capelli, and P. Righetti, "Artifactual peak splitting in capillary electrophoresis. 2. Defocusing phenomena for ampholytes," Anal. Chem. 67, 2957 (1995).
23. O. Le Maitre, O. Knio, R. Ghanem, and H. Najm, "A stochastic projection method for microchannel flow," in Proceedings of the Fourth International Conference on Modeling, 2001, pp. 246-249.
24. O. Le Maître, O. Knio, H. Najm, and R. Ghanem, "A stochastic projection method for fluid flow I. Basic formulation," J. Comput. Phys. 1732, 481 (2001).
25. M. Pernice and H. Walker, "NITSOL: A Newton iterative solver for nonlinear systems," SIAM J. Sci. Comput. (USA) 19, 302 (1998).
26. A. Chorin, "A numerical method for solving incompressible viscous flow problems," J. Comput. Phys. 2, 12 (1967).
27. E. Hairer, S. Nørsett, and G. Wanner, Solving Ordinary Differential Equations I, Nonstiff Problems, 2nd ed, (Springer, Berlin, 1992).
28. SLATEC common mathematical library, version 4.1. http:// www.netlib.org/slatec/, 1993.
29. P. de Montigny, J. Stobaugh, R. Givens, R. Carlson, K. Srinivasachar, L. Sternson, and T. Higuchi, "Naphtalene-2.3-dicarboxaldehyde/cyanide ion: A rationally design fluorogenic reagent for primary amines," Anal. Chem. 59, 1096 (1987