Abstract:
Biological molecular motors are special enzymes that support biological processes
such as intracellular transport, vesicle locomotion, RNA translation and
manymore. Experimentalworks suggest that themotor proteins interact among
each other and moreover they experience a push by other motors during the
intracellular transport. To incorporate these dynamics, we consider a variant of
open one-dimensional totally asymmetric simple exclusion process with sitedependent
hopping rates and interactions. The qualitative properties of our
system do not depend on the hopping rate function.We utilize the simplemean-
eld, the cluster mean- eld, the correlated cluster mean- eld to theoretically
calculate the stationary phase diagrams, density and the maximal particle current.
The limitations of all the three theories are extensively discussed. It has
been found that although the interactions do not change the number of phases
in a phase diagram, it signi cantly changes the density pro les, the phase transition
lines and the maximal particle current. The theoretical results obtained
are supported by Monte Carlo simulations.
