When long polymers such as DNA are in a highly concentrated state they may become entangled, leading to restricted self-diffusion. Here, we investigate the effect of molecular topology on diffusion in concentrated DNA solutions and find surprisingly large effects, even with molecules of modest length and concentration. We measured the diffusion coefficients of linear and relaxed circular molecules by tracking the Brownian motion of single molecules with fluorescence microscopy. Four possible cases were compared: linear molecules surrounded by linear molecules, circular molecules surrounded by linear molecules, linear molecules surrounded by circles, and circles surrounded by circles. In measurements with 45-kbp DNA at 1 mg/ml, we found that circles diffused Ϸ100 times slower when surrounded by linear molecules than when surrounded by circles. In contrast, linear and circular molecules diffused at nearly the same rate when surrounded by circles, and circles diffused Ϸ10 times slower than linears when surrounded by linears. Thus, diffusion in entangled DNA solutions strongly depends on topology of both the diffusing molecule and the surrounding molecules. This effect also strongly depends on DNA concentration and length. The differences largely disappeared when the concentration was lowered to 0.1 mg/ml or when the DNA length was lowered to 6 kb. Present theories cannot fully explain these effects.polymers ͉ reptation A mong polymers DNA is rather unique in that it is naturally found in a number of different topological forms, including linear, supercoiled circular, relaxed circular, knotted circular, and branched. DNA solutions handled in vitro in molecular biology research are often relatively concentrated (Ϸ1-10 mg/ ml, for example, after lysis of bacterial cells during DNA isolation, or when DNA is redissolved after ethanol precipitation). According to classical theories and experiments in polymer physics, long flexible molecules form random coils that overlap and become entangled as the concentration of solutions is increased (1, 2). In the field of polymer physics and rheology there is considerable fundamental interest in understanding the effect of molecular topology on entangled polymer dynamics (3, 4). In gel electrophoresis it is well known that molecular topology strongly affects the mobility of DNA. However, with few exceptions, most theories and experiments on diffusion in concentrated polymer solutions have examined only linear molecules. Here, we investigate the effect of molecular topology on diffusion of entangled DNA. Although relaxed circular molecules differ from linear molecules only by the presence of one additional pair of phosphodiester bonds (linking head to tail) and diffuse at nearly the same rate in dilute solution (5), we observe large differences in their diffusion rates with molecules of modest size and concentration.
ResultsA 45-kbp fosmid DNA construct (pCCFOS1-45) was prepared as described (6). It was treated with topoisomerase I to prepare the relaxed circular form and with ApaI ...