Steady-State Dynamics of Exclusion Process with Local Reversible Association of Particles

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated these observations, we developed a theoretical model for collective dynamics of motors accounts local association/dissociation events representing strong coupling particles. In our approach, the particles interacting only via exclusion move lattice in preferred direction, while reversible associations allowed at specific site far away from boundaries. Considering as defect, inhomogeneous system is approximated two coupled homogeneous sub-lattices. This allows us obtain full description stationary system. It found number nature steady-state phases strongly depend on values association dissociation transition rates. Microscopic arguments explain observations well implications also discussed. We then compare dynamical properties proposed with earlier studied variant considering weakly Theoretical predictions agree extensive Monte Carlo computer simulations.