  We consider a totally asymmetric simple exclusion process (TASEP) consisting
of particles on a lattice that require binding by a "token" to move. Using a
combination of theory and simulations, we address the following questions: (i)
How token binding kinetics affects the current-density relation; (ii) How the
current-density relation depends on the scarcity of tokens; (iii) How tokens
propagate the effects of the locally-imposed disorder (such as a slow site)
over the entire lattice; (iv) How a shared pool of tokens couples concurrent
TASEPs running on multiple lattices; (v) How our results translate to TASEPs
with open boundaries that exchange particles with the reservoir. Since real
particle motion (including in systems that inspired the standard TASEP model,
e.g., protein synthesis or movement of molecular motors) is often catalyzed,
regulated, actuated, or otherwise mediated, the token-driven TASEP dynamics
analyzed in this paper should allow for a better understanding of real systems
and enable a closer match between TASEP theory and experimental observations.
