Abstract Theory and numerical simulations play a major role in the development of improved
and novel separation methods. In some cases, computer simulations predict counterintuitive …

Over the last two decades, the introduction of new methods such as pulsed‐field gel
electrophoresis and capillary array electrophoresis has made it possible to map and …

The spreading of bacterial populations is central to processes in agriculture, the
environment, and medicine. However, existing models of spreading typically focus on cells …

The reptation model is the dominant theory in understanding the electrophoretic separation
of single‐stranded DNA molecules in gels or entangled polymer solutions. Recently, we …

We extend our lattice model of gel electrophoresis (and diffusion) to the study of the
continuum limit (no lattice effect) for hard spherical particles migrating in periodic and …

In the first part of this short series Mercier Slater and Guo, J. Chem. Phys. 110, 6050 1999,
preceding paper, we derived two algebraically exact methods to calculate the scaled …

Crowded environments modify the diffusion of macromolecules, generally slowing their
movement and inducing transient anomalous subdiffusion. The presence of obstacles also …

The behavior of a lattice Monte Carlo (LMC) algorithm (if it is designed correctly) must
approach that of the continuum system that it is designed to simulate as the time step and …

The motion of cells and molecules through biological environments is often hindered by the
presence of other cells and molecules. A common approach to modeling this kind of …

In this article, we present a generalized version of our lattice model of low‐field gel
electrophoresis that allows us to treat the case of macromolecules such as short linear or …