MATHEMATICAL METHODS IN GEL ELECTROPHORESIS

电泳是生物学中广泛使用的一种技术， 分类和研究大分子和颗粒的复杂混合物 (such DNA）。 我们运用数学方法和技术， 电泳的问题。 特别是，我们已经开发了模型， 描述了大分子和病毒大小的粒子在 凝胶。 我们已经定义了一个分辨率函数，它很好地适应于 例如DNA的粒子的电泳分离。 模型 运动与分辨率函数一起，使我们能够预测 最小时间和最佳偏移路径 混合物，例如在DNA测序中遇到的那些。 我们还 开发的方法，用于评估各种聚合物的效率， 各种大小的大分子的分离。 为此，我们 定义了分离效率函数，以及 分辨率效率函数 这些函数用于评估 不同的聚合物。 这些技术为我们提供了 选择最有效筛分聚合物的实用方法 特定分子大小的溶液。 最后，我们实现了 分析中使用的数学算法， 用于个人计算机的软件包。

Electrophoresis is a technique widely used in biology to separate, classify, and study complex mixtures of macromolecules and particles (such as DNA). We have applied mathematical methods and techniques to problems in electrophoresis. In particular, we have developed models describing the motion of macromolecules and virus-sized particles in gels. We have defined a resolution function that is well adapted to electrophoretic separation of particles such as DNA. The models of motion, together with the resolution function, allow us to predict the minimal time and optimal migration path for the resolution of complex mixtures, such as those encountered in DNA sequencing. We have also developed methods for evaluating the efficiency of various polymers in the separation of macromolecules of various sizes. For this purpose, we have defined the separation efficiency function, as well as the resolution efficiency function. These functions are used to evaluate different polymers relative to one another. These techniques give us a practical means by which to select the most efficient sieving polymer solution for a particular molecular size. Finally, we have implemented the mathematical algorithms used in the analyses in a user-friendly software package for use on a personal computer.