Cooperative threading of asymmetric rings onto a linear chain

The hopping model of pseudopolyrotaxane formation by threading of rings ont o a linear chain was modified to allow for cooperative interactions between adjacent rings and their asymmetry. In equilibrium, pseudopolyrotaxane for mation may be treated as binding to a one-dimensional array of fully access ible sites. If the time evolution of threading is sought the transport thro ugh connected sites has to be considered, and the problem can be solved num erically using stochastic simulation. The application of the model to threa ding of cyclodextrins onto polymeric chains shows that completely regular h ead-to-head/tail-to-tail arrangement cannot be expected.