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电迁移分散在毛细管电泳中的作用。

Electromigration dispersion in capillary electrophoresis.

机构信息

Dept. Mech. Eng., Northwestern University, 2145 Sheridan Road, Evanston, IL 60208, USA.

出版信息

Bull Math Biol. 2012 Feb;74(2):346-55. doi: 10.1007/s11538-011-9708-7. Epub 2011 Dec 7.

DOI:10.1007/s11538-011-9708-7
PMID:22147104
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3291716/
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.

摘要

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。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7d04/3291716/c15b93b11501/nihms352811f2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7d04/3291716/345dbeb0ba28/nihms352811f1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7d04/3291716/c15b93b11501/nihms352811f2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7d04/3291716/345dbeb0ba28/nihms352811f1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7d04/3291716/c15b93b11501/nihms352811f2.jpg

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本文引用的文献

1
Electromigration dispersion in a capillary in the presence of electro-osmotic flow.在存在电渗流的情况下毛细管中的电迁移分散。
J Fluid Mech. 2012 Apr 1;697:436-454. doi: 10.1017/jfm.2012.76. Epub 2012 Mar 9.
2
Nonlinear waves in capillary electrophoresis.毛细管电泳中的非线性波。
Bull Math Biol. 2010 Nov;72(8):2047-66. doi: 10.1007/s11538-010-9527-2. Epub 2010 Mar 18.
3
Dynamic computer simulations of electrophoresis: three decades of active research.电泳的动态计算机模拟:三十年的活跃研究
Electrophoresis. 2009 Jun;30 Suppl 1:S16-26. doi: 10.1002/elps.200900058.
4
Theory of electrophoresis: fate of one equation.电泳理论:一个方程式的命运
Electrophoresis. 2009 Jun;30 Suppl 1:S7-15. doi: 10.1002/elps.200900133.
5
Fluid mechanics of electroosmotic flow and its effect on band broadening in capillary electrophoresis.毛细管电泳中电渗流的流体力学及其对谱带展宽的影响。
Electrophoresis. 2004 Jan;25(2):214-28. doi: 10.1002/elps.200305745.
6
Free-zone electrophoresis in glass capillaries.玻璃毛细管中的自由区电泳。
Clin Chem. 1981 Sep;27(9):1551-3.