Stochastic single-molecule Videomicroscopy methods to measure electrophoretic DNA migration modalities in polymer solutions above and below entanglement

We have studied the effects of polymer molar mass and concentration on the electrophoretic migration modalities of individual molecules of DNA in LPA, HEC, and PEO solutions via epifluorescent videomicroscopy. While both transient entanglement coupling (TEC) and reptation have been studied in the past, the transition between them has not. Understanding this transition will allow for polymer network properties to be optimized to enhance the speed and resolution of DNA separations in microfluidic devices. Near the overlap threshold concentration, C*, TEC is the dominant observed mode of DNA migration, and the observation frequency of TEC increases with increasing polymer molar mass. As polymer concentration is increased, observed TEC events reduce to zero while DNA reptation events become the only detected mechanism. Individual DNA molecules undergoing both migration mechanisms were counted in solutions of varying polymer molar masses and concentrations and were plotted against a dimensionless polymer concentration, C/C*. The data for LPA reduce to form universal curves with a sharp increase in DNA reptation at similar to 6.5C*. Analogous transition concentrations for PEO and HEC were observed at 5C* and 3.5C*, respectively, reflecting the different physical properties of these polymers. This transition correlates closely with the polymer network entanglement concentration, C-e, as measured by rheological techniques. The electrophoretic mobility of lambda-DNA in LPA polymer solutions was also measured and shows how a balance can be struck between DNA resolution and separation speed by choosing the desired prevalence of DNA reptation.