Dept. Mech. Eng., Northwestern University, 2145 Sheridan Road, Evanston, IL 60208, USA.
Bull Math Biol. 2012 Feb;74(2):346-55. doi: 10.1007/s11538-011-9708-7. Epub 2011 Dec 7.
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.
在之前的一篇论文(Ghosal 和 Chen 在 Bull. Math. Biol. 72:2047, 2010 中)中,已经表明在毛细管电泳中溶质浓度的演化由一个非线性波动方程描述,如果非线性较弱,则该方程简化为 Burger 方程。假设仅存在强电解质(完全离解)。在本文中,证明了相同的控制方程也描述了电解质缓冲液由单一弱酸(或碱)组成的情况。导出了无量纲峰方差的简单近似公式,实验数据表明该公式与已发表的实验数据吻合良好。