Sample distribution in peak mode isotachophoresis

Physics of Fluids

Volumn 26, Issue 1, 2014, Pages

  Rubin, Shimon ^a   Schwartz, Ortal ^a   Bercovici, Moran ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FIELDS;

CLOSED FORM SOLUTIONS; CLOSED-FORM EXPRESSION; CONCENTRATION PROFILES; CONTROLLED EXPERIMENT; COUNTER ION CONCENTRATIONS; EFFECTIVE MOBILITIES; ENGINEERING APPROXIMATIONS; MAXIMUM REACTION RATE;

ELECTROPHORESIS;

EID: 84896497910     PISSN: 10706631     EISSN: 10897666     Source Type: Journal    
DOI: 10.1063/1.4861399     Document Type: Article

References (47)

1. D. A. MacInnes and L. G. Longsworth, "Transference numbers by the method of moving boundaries," Chem. Rev. 11, 171 (1932).
2. A. Tiselius, "A new apparatus for electrophoretic analysis of colloidal mixtures," Trans. Faraday Soc. 33, 524-531 (1937).
3. P. Gebauer, Z. Malá, and P. Boček, "Recent progress in analytical capillary isotachophoresis," Electrophoresis 32, 83-89 (2011).
4. P. Gebauer and P. Boček, "Recent progress in capillary isotachophoresis," Electrophoresis 23, 3858-3864 (2002).
5. A. Persat and J. G. Santiago, "MicroRNA profiling by simultaneous selective isotachophoresis and hybridization with molecular beacons," Anal. Chem. 83, 2310-2316 (2011).
6. M. Bercovici, G. V. Kaigala, and J. G. Santiago, "Method for analyte identification ising isotachophoresis and a fluorescent carrier ampholyte assay," Anal. Chem. 82, 2134-2138 (2010).
7. J. Shim, P. Dutta, and C. Ivory, "Finite-Volume Methods for Isotachophoretic Separation in Microchannels," Numer. Heat Tr. A-Appl. 52, 441-461 (2007).
8. M. C. Breadmore, R. A. Mosher, and W. Thormann, "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," Anal. Chem. 78, 538-546 (2006).
9. G. Goet, T. Baier, and S. Hardt, "Micro contactor based on isotachophoretic sample transport," Lab Chip 24, 3586 (2009).
10. M. Bercovici, C. M. Han, J. C. Liao, and J. G. Santiago, "Rapid hybridization of nucleic acids using isotachophoresis," Proc. Natl. Acad. Sci. U.S.A 109, 11127-11132 (2012).
11. F. M. Everaerts, J. L. Beckers, and T. P. E. M. Verheggen, Isotachophoresis: Theory, Instrumentation and Applications (Elsevier, 2011).
12. T. K. Khurana and J. G. Santiago, "Sample zone dynamics in peak mode isotachophoresis," Anal. Chem. 80, 6300-6307 (2008).
13. F. Kohlrausch, "Ueber Concentrations-Verschiebungen durch Elektrolyse im Innern von Lösungen und Lösungsgemischen," Ann. Phys. (Leipzig) 62, 209-239 (1897).
14. D. A. Saville and O. A. Palusinski, "Theory of electrophoretic separations. Part I: Formulation of a mathematical model," AIChE J. 32, 207-214 (1986).
15. P. C. Fife, O. A. Palusinski, and Y. Su, "Electrophoretic travelling waves," Trans. Am. Math. Soc. 310, 759-780 (1988).
16. M. Coxon andM. J. Binder, "Isotachophoresis (displacement electrophoresis. Transphoresis) theory: Structure of the ionic species interface," J. Chromatogr. A 95, 133-145 (1974).
17. Y. Su, O. A. Palusinski, and P. C. Fife, "Isotachophoresis: Analysis and computation of the structure of the ionic species interface," J. Chromatogr. A 405, 77-85 (1987).
18. F. Schönfeld, G. Goet, T. Baier, and S. Hardt, "Transition zone dynamics in combined isotachophoretic and electro-osmotic transport," Phys. Fluids 21, 092002 (2009).
19. G. Garcia-Schwarz, M. Berkovici, L. A. Marshall, and J. G. Santiago, "Sample dispersion in isotachophoresis," J. Fluid Mech. 679, 455-475 (2011).
20. S. Bhattacharyya, P. P. Gopmandal, T. Baier, and S. Hardt, "Sample dispersion in isotachophoresis with Poiseuille counterflow," Phys. Fluids 25, 022001 (2013).
21. G. Goet, T. Baier, and S. Hardt, "Transport and separation of micron sized particles at isotachophoretic transition zones," Biomicrofluidics 5, 014109 (2011).
22. W. Thormann, M. C. Breadmore, J. Caslavska, and R. A. Mosher, "Dynamic computer simulations of electrophoresis: A versatile research and teaching tool," Electrophoresis 31, 726-754 (2010).
23. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon Press, 1987).
24. S. S. Bahga, M. Bercovici, and J. G. Santiago, "Ionic strength effects on electrophoretic focusing and separations," Electrophoresis 31, 910-919 (2010).
25. F. Reif, Fundamentals of Statistical and Thermal Physics (McGraw-Hill, 1965).
26. R. Kubo, "The fluctuation-dissipation theorem," Rep. Prog. Phys. 29, 255 (1966).
27. J.-L. Viovy, "Electrophoresis of DNA and other polyelectrolytes: Physical mechanisms," Rev. Mod. Phys. 72, 813 (2000).
28. A. D. MacGillivray, "Nernst-planck equations and the electroneutrality and donnan equilibrium assumptions," J. Chem. Phys. 48, 2903-2907 (1968).
29. R. F. Probstein, Physicochemical Hydrodynamics: An Introduction (John Wiley, New York, 1994).
30. L. Onsager and R. M. Fuoss, "Irreversible processes in electrolytes. diffusion, conductance and viscous flow in arbitrary mixtures of strong electrolytes," J. Phys. Chem. 36, 2689-2778 (1932).
31. A. Persat, R. D. Chambers, and J. G. Santiago, "Basic principles of electrolyte chemistry for microfluidic electrokinetics. Part I: Acidbase equilibria and pH buffers," Lab Chip 9, 2437-2453 (2009).
32. D. A. Saville, "The effects of electroosmosis on the structure of isotachophoresis boundaries," Electrophoresis 11, 899-902 (1990).
33. R. A. Alberty, "Moving boundary systems formed by weak electrolytes. Theory of simple systems formed by weak acids and bases," J. Am. Chem. Soc. 72, 2361-2367 (1950).
34. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover Publications, 1965).
35. M. Bercovici, S. K. Lele, and J. G. Santiago, "Open source simulation tool for electrophoretic stacking, focusing, and separation," J. Chromatogr. A 1216, 1008-1018 (2009).
36. S. S. Bahga, M. Bercovici, and J.G. Santiago, "Robust and high-resolution simulations of nonlinear electrokinetic processes in variable cross-section channels," Electrophoresis 33, 3036-3051 (2012).
37. M. Jaroš, K. Včeláková, I. Zusková, and B. Gaš, "Optimization of background electrolytes for capillary electrophoresis: II. Computer simulation and comparison with experiments," Electrophoresis 23, 2667-2677 (2002).
38. M. Jaroš, V. Hruška, M. Štěrd́y, I. Zusková, and B. Gaš, "Eigenmobilities in background electrolytes for capillary zone electrophoresis: IV. Computer program PeakMaster," Electrophoresis 25, 3080-3085 (2004).
39. T. Hirokawa, M. Nishino, N. Aoki, Y. Kiso, Y. Sawamoto, T. Yagi, and J.-I. Akiyama, "Table of isotachophoretic indices: I. Simulated qualitative and quantitative indices of 287 anionic substances in the range ph 310," J. Chromatogr. A 271, D1-D106 (1983).
40. D. Milanova, R. D. Chambers, S. S. Bahga, and J. G. Santiago, "Electrophoretic mobility measurements of fluorescent dyes using on-chip capillary electrophoresis," Electrophoresis 32, 3286-3294 (2011).
41. D. Milanova, R. D. Chambers, S. S. Bahga, and J. G. Santiago, "Effect of PVP on the electroosmotic mobility of wet-etched glass microchannels," Electrophoresis 33, 3259-3262 (2012).
42. M. Bercovici, G. V. Kaigala, K. E. Mach, C. M. Han, J. C. Liao, and J. G. Santiago, "Rapid detection of urinary tract infections using isotachophoresis and molecular beacons," Anal. Chem. 83, 4110-4117 (2011).
43. A. Persat, M. E. Suss, and J. G. Santiago, "Basic principles of electrolyte chemistry for microfluidic electrokinetics. Part II: Coupling between ion mobility, electrolysis, and acid-base equilibria," Lab Chip 9, 2454-2469 (2009).
44. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic Press, San Diego, 1994).
45. J. Mathews and R. L. Walker, Mathematical Methods of Physics, 2nd ed. (California Institute of Technology, 1973).
46. G. E. Andrews, R. Askey, and R. Roy, Special Functions (Cambridge University Press, Cambridge, 1999).
47. N. C. Stellwagen, C. Gelfi, and P. G. Righetti, "The free solution mobility of DNA," Biopolymers 42, 687-703 (1997).