The transport of components in liquid media under the influence of an applied electric field can be described with the continuity equation. It represents a nonlinear conservation law that is based upon the balance laws of continuous transport processes and can be solved in time and space numerically. This procedure is referred to as dynamic computer simulation. Since its inception four decades ago, the state of dynamic computer simulation software and its use has progressed significantly. Dynamic models are the most versatile tools to explore the fundamentals of electrokinetic separations and provide insights into the behavior of buffer systems and sample components of all electrophoretic separation methods, including moving boundary electrophoresis, CZE, CGE, ITP, IEF, EKC, ACE, and CEC. This article is a continuation of previous reviews (Electrophoresis 2009, 30, S16–S26 and Electrophoresis 2010, 31, 726–754) and summarizes the progress and achievements made during the 2010 to 2020 time period in which some of the existing dynamic simulators were extended and new simulation packages were developed. This review presents the basics and extensions of the three most used one-dimensional simulators, provides a survey of new one-dimensional simulators, outlines an overview of multi-dimensional models, and mentions models that were briefly reported in the literature. A comprehensive discussion of simulation applications and achievements of the 2010 to 2020 time period is also included.

中文翻译：

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电泳的动态计算机模拟：2010-2020

在外加电场的影响下，液体介质中成分的传输可以用连续性方程来描述。它代表了一种非线性守恒定律，它基于连续输运过程的平衡定律，可以在时间和空间上进行数值求解。这个过程被称为动态计算机模拟。自 40 年前问世以来，动态计算机仿真软件的状态及其使用取得了长足的进步。动态模型是最通用的工具，可用于探索电动分离的基本原理，并提供对所有电泳分离方法（包括移动边界电泳、CZE、CGE、ITP、IEF、EKC、ACE 和中电联。本文是之前评论的延续（Electrophoresis 2009, 30, S16–S26 and Electrophoresis 2010, 31, 726–754) 并总结了 2010 年至 2020 年期间在扩展一些现有动态模拟器和开发新的模拟包时取得的进展和成就。这篇综述介绍了三种最常用的一维模拟器的基础知识和扩展，提供了对新一维模拟器的调查，概述了多维模型，并提到了文献中简要报道的模型。还包括对 2010 年至 2020 年期间模拟应用和成就的全面讨论。