C. Desruisseaux et Gw. Slater, SIMPLE-MODEL OF TRAPPING ELECTROPHORESIS WITH COMPLICATED TRANSIENT DYNAMICS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(6), 1994, pp. 5885-5888
A simple reptation model of DNA trapping gel electrophoresis is shown
to lead to surprisingly complicated transient dynamics. The DNA has a
big neutral object attached to one of its ends; electrophoretic migrat
ion is thus slowed by trapping when it occurs in random gels. The detr
apping process is thermally driven and its dependence upon the instant
aneous molecular conformation gives rise to anomalous transport proper
ties in our computer simulations. The electric field affects the molec
ular conformations and thus modifies the nature of the transient dynam
ics in nontrivial ways. The phenomenon is analyzed in terms of a direc
ted walk through a periodic lattice of traps with a broad release time
distribution. For large molecular sizes, we estimate that it is actua
lly impossible to reach the steady state in an (experimentally) reason
able period of time.