Abstract
In this article, we extend our recently developed lattice model of gel electrophoresis to periodic three-dimensional gels made of either isolated obstacles or infinitely long fibers. Exact mobilities are calculated using a much improved numerical method that allows us to treat very large systems. A comparison of the exact mobilities and free available volumes indicates that the main assumption of the Ogston-Morris-Rodbard-Chrambach model (OMRCM), which postulates that the mobility (mu) of charged particles is directly related to the fractional gel volume available to them, is not valid. However, a study of the gel concentration and analyte size dependence of the zero-field mobility indicates that the OMRCM and the Ferguson plots can indeed be used to obtain useful, semi-quantitative information about the gel properties. A procedure to study more realistic three-dimensional gel systems is discussed.
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