Motion of polymer ends in homopolymer and heteropolymer collapse

To investigate the polymer coil-to-globule transition we performed simulations for the kinetics of homopolymer and heteropolymer collapse. Our stimulations made use of abstract models of long flexible polymers to obtain extensive statistical sampling. For a variety of these models, the simulations suggest that collapse of long polymers is dominated by diffusion of the polymer ends, which accrete monomers and small aggregates. The growth of the end aggregate was found to be nearly linear in time for homopolymers and largely unaffected by variations in microstructure. In contrast, for heteropolymers the presence of non-aggregating (hydrophilic) monomers dramatically slows and alters the growth of the end mass. In models simulated, the end mass grows roughly as the cube root of time, but still dominates aggregation along the contour. In a model where only pairwise bonding is allowed, the collapse is uniform since more flexible end motion does not result in continued end accretion. The possible significance of our results for biopolymer kinetics is discussed.