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Updated: May 26, 2026

Amplification of Escherichia coli in a Continuous-Flow-PCR Microfluidic Chip and Its Detection with a Capillary Electrophoresis System
Published on: November 21, 2023
Electromigration dispersion in capillary electrophoresis
1Dept. Mech. Eng., Northwestern University, 2145 Sheridan Road, Evanston, IL 60208, USA. zhenchen2011@u.northwestern.edu
Abstract:
In a previous paper (Ghosal and Chen in Bull. Math. Biol. 72:2047, 2010), it was shown that the evolution of the solute concentration in capillary electrophoresis is described by a nonlinear wave equation that reduced to Burger's equation if the nonlinearity was weak. It was assumed that only strong electrolytes (fully dissociated) were present. In the present paper, it is shown that the same governing equation also describes the situation where the electrolytic buffer consists of a single weak acid (or base). A simple approximate formula is derived for the dimensionless peak variance which is shown to agree well with published experimental data.
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