Looping dynamics of linear DNA molecules and the effect of DNA curvature: a study by Brownian dynamics simulation.

A Brownian dynamics (BD) model described in the accompanying paper (Klenin, K., H. Merlitz, and J. Langowski. 1998. A Brownian dynamics program for the simulation of linear and circular DNA, and other wormlike chain polyelectrolytes. Biophys. J. 74:000-000) has been used for computing the end-to-end distance distribution function, the cyclization probability, and the cyclization kinetics of linear DNA fragments between 120 and 470 basepairs with optional insertion of DNA bends. Protein-mediated DNA loop formation was modeled by varying the reaction distance for cyclization between 0 and 10 nm. The low cyclization probability of DNA fragments shorter than the Kuhn length (300 bp) is enhanced by several orders of magnitude when the cyclization is mediated by a protein bridge of 10 nm diameter, and/or when the DNA is bent. From the BD trajectories, end-to-end collision frequencies were computed. Typical rates for loop formation of linear DNAs are 1.3 x 10(3) s(-1) (235 bp) and 4.8 x 10(2) s(-1) (470 bp), while the insertion of a 120 degree bend in the center increases this rate to 3.0 x 10(4) s(-1) (235 bp) and 5.5 x 10(3) s(-1) (470 bp), respectively. The duration of each encounter is between 0.05 and 0.5 micros for these DNAs. The results are discussed in the context of the interaction of transcription activator proteins.