Department of Chemistry and Centre for Research on Biomolecular Interactions, York University, Toronto, Ontario, Canada.
Anal Chem. 2011 Nov 15;83(22):8617-22. doi: 10.1021/ac2027113. Epub 2011 Oct 27.
Nonequilibrium capillary electrophoresis of equilibrium mixtures (NECEEM) facilitates determination of both the kinetic constants (k(off)) and the equilibrium constants (K(d)) of complex dissociation from a single experiment. A typical NECEEM electropherogram consists of two peaks and an "exponential bridge" between them, smoothly merging into the peaks. The values of k(off) and K(d) are usually calculated with simple algebraic formulas, by utilizing the areas of the peaks and the bridge. Accurate determination of the two constants requires accurate positioning of the two boundaries separating the bridge from the peaks. Here, we propose a more systematic method for the determination of boundaries between the peaks and the bridge. The method involves a simple geometrical analysis of a NECEEM electropherogram based on an assumption of symmetry in ordinary electrophoretic peaks. To test the method, we (i) constructed a series of computer-simulated NECEEM electropherograms, (ii) determined the two boundaries with our method, and (iii) calculated the values of k(off) and K(d). We found that the deviation of the calculated values from those used to simulate the electropherograms did not exceed 15% for k(off) and 25% for K(d), as long as the peaks and the bridge were visually identifiable. We finally applied the method to the determination of K(d) and k(off) values for the interaction between AlkB protein and its DNA aptamer. The developed method for rational boundary determination in NECEEM will facilitate accurate data analysis in a simple and efficient manner.
平衡混合物的非平衡毛细管电泳(NECEEM)有助于从单个实验中确定复合物解离的动力学常数(k(off))和平衡常数(K(d))。典型的 NECEEM 电泳图谱由两个峰和它们之间的“指数桥”组成,两者之间平滑融合。k(off)和 K(d)的值通常通过利用峰和桥的面积,使用简单的代数公式计算得出。准确确定这两个常数需要准确确定将桥与峰隔开的两个边界。在这里,我们提出了一种更系统的方法来确定峰和桥之间的边界。该方法涉及基于普通电泳峰的对称性假设对 NECEEM 电泳图谱进行简单的几何分析。为了测试该方法,我们(i)构建了一系列计算机模拟的 NECEEM 电泳图谱,(ii)用我们的方法确定了两个边界,(iii)计算了 k(off)和 K(d)的值。我们发现,只要峰和桥是可见的,计算值与用于模拟电泳图谱的值之间的偏差对于 k(off)不超过 15%,对于 K(d)不超过 25%。我们最后将该方法应用于确定 AlkB 蛋白与其 DNA 适体相互作用的 K(d)和 k(off)值。在 NECEEM 中用于合理边界确定的开发方法将以简单有效的方式促进准确的数据分析。