  Intracellular transport based on molecular motors and its regulation are
crucial to the functioning of cells. Filamentary tracks of the cells are
abundantly decorated with non-motile microtubule-associated proteins, such as
tau. Motivated by experiments on kinesin-tau interactions [Dixit et al. Science
319, 1086 (2008)] we developed a stochastic model of interacting single-headed
motor proteins KIF1A that also takes into account the interactions between
motor proteins and tau molecules. Our model reproduce experimental observations
and predicts significant effects of tau on bound time and run length which
suggest an important role of tau in regulation of kinesin-based transport.
