  Cytoskeletal motor proteins are involved in major intracellular transport
processes which are vital for maintaining appropriate cellular function. The
motor exhibits distinct states of motility: active motion along filaments, and
effectively stationary phase in which it detaches from the filaments and
performs passive diffusion in the vicinity of the detachment point due to
cytoplasmic crowding. The transition rates between motion and pause phases are
asymmetric in general, and considerably affected by changes in environmental
conditions which influences the efficiency of cargo delivery to specific
targets. By considering the motion of molecular motor on a single filament as
well as a dynamic filamentous network, we present an analytical model for the
dynamics of self-propelled particles which undergo frequent pause phases. The
interplay between motor processivity, structural properties of filamentous
network, and transition rates between the two states of motility drastically
changes the dynamics: multiple transitions between different types of anomalous
diffusive dynamics occur and the crossover time to the asymptotic diffusive or
ballistic motion varies by several orders of magnitude. We map out the phase
diagrams in the space of transition rates, and address the role of initial
conditions of motion on the resulting dynamics.
