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We study a two filament driven lattice gas model with oppositely directedspecies of particles moving on two parallel filaments with filament switchingprocesses and particle inflow and outflow at filament ends. The filamentswitching process is {\it correlated} such that particles switch filaments withfinite probability only when oppositely directed particles meet on the samefilament. This model mimics some of the coarse grained features observed incontext of microtubule (MT) based intracellular transport, wherein cellularcargo loaded and off-loaded at filament ends are transported on multipleparallel microtubule (MT) filaments and can switch between the parallelmicrotubule filaments. We focus on a regime where the filaments are weaklycoupled, such that filament switching rates scale inversely as the length ofthe filament. We find that the interplay (off)loading processes at theboundaries and the filament switching process leads to some distinctivefeatures of the system. These features includes occurrence of variety of phasesin the system with inhomogeneous density profiles including localized densityshocks, density difference across the filaments and bidirectional current flowsin the system. We analyze the system by developing a mean field (MF) theory andcomparing the results obtained from the MF theory with the Monte Carlo (MC)simulations of the dynamics of the system. We find that the steady statedensity and current profiles of particles and the phase diagram obtained withinthe MF picture matches quite well with MC simulation results. These findingsmaybe useful for studying multi-filament intracellular transport.

Driven Transport on open filaments with inter-filament switching processes