2007/03/20 by Ruili Wang, RUILI WANG, Rui Jiang +7 · 32 citations
Biochemistry, Genetics and Molecular Biology · Chemistry · Mathematics · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Asymmetric simple exclusion process #Boundary (topology) #Jumping #Kinetics #Molecular dynamics #Molecular motor #Periodic boundary conditions #Probability density function #Stochastic processes and statistical mechanics #q-bio.BM #q-bio.QM #stochastic dynamics and bifurcation
paper · pdf · doi:10.1142/s0129183107011479
published in International Journal of Modern Physics C 18(09), 1483-1496 (World Scientific) · 15 pages, 8 figures. To be published in IJMPC
arxiv created 2007/03/20 · openalex publication_date 2007/09/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, we study a two-lane totally asymmetric simple exclusion process (TASEP) coupled with random attachment and detachment of particles (Langmuir kinetics) in both lanes under open boundary conditions. Our model can describe the directed motion of molecular motors, attachment and detachment of motors, and free inter-lane transition of motors between filaments. In this paper, we focus on some finite-size effects of the system because normally the sizes of most real systems are finite and small (e.g., size ≤ 10 000). A special finite-size effect of the two-lane system has been observed, which is that the density wall moves left first and then move towards the right with the increase of the lane-changing rate. We called it the jumping effect. We find that increasing attachment and detachment rates will weaken the jumping effect. We also confirmed that when the size of the two-lane system is large enough, the jumping effect disappears, and the two-lane system has a similar density profile to a single-lane TASEP coupled with Langmuir kinetics. Increasing lane-changing rates has little effect on density profiles after the density reaches maximum. Also, lane-changing rate has no effect on density profiles of a two-lane TASEP coupled with Langmuir kinetics at a large attachment/detachment rate and/or a large system size. Mean-field approximation is presented and it agrees with our Monte Carlo simulations.