Moment analysis of near-equilibrium binding interactions during electrophoresis.
Moment analysis of near-equilibrium binding interactions during electrophoresis.
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电泳过程中近平衡结合相互作用的矩分析。
DOI：
10.1103/physreve.76.051922
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
A. Nadim
中科院分区：
文献类型：
--
作者：
Yousef Daneshbod;J. Sterling;A. Nadim
对三种化学反应物种的凝胶迁移进行了数学分析，其中两种可以可逆结合形成第三种。假设物种水平移动通过具有不同电泳率和扩散系数的长通道。通过考虑系统关于平衡的微小扰动或当两个结合物种中的一个比另一个更丰富时，控制平流-反应-扩散方程可以用矩方法线性化和研究。其结果是一组关于力矩的耦合常微分方程组，可以解析地求解。对力矩的长期演化进行分析，得出每个物种的平均速度和弥散系数。研究结果为毛细管电泳法测定结合反应的速率和平衡常数提供了一种方法。
The electrophoretic transport of three chemically reacting species, two of which can bind reversibly to form the third, is analyzed mathematically. The species are assumed to move horizontally through a long channel with different electrophoretic mobilities and diffusion coefficients. By considering small perturbations of the system about equilibrium or when one of the two binding species is much more abundant than the other, the governing advection-reaction-diffusion equations can be linearized and studied via the method of moments. The result is a set of coupled ordinary differential equations for the moments that can be solved analytically. Analysis of the long-time evolution of the moments yields mean velocities and dispersion coefficients for each species. The results provide a method for measuring the rate and equilibrium constants of binding reactions using capillary electrophoresis.