Competition between Multiple Totally Asymmetric Simple Exclusion Processes for a Finite Pool of Resources

Abstract

Using Monte Carlo simulations and a domain wall theory, we discuss the effect of coupling several totally asymmetric simple exclusion processes (TASEPs) to a finite reservoir of particles. This simple model mimics directed biological transport processes in the presence of finite resources, such as protein synthesis limited by a finite pool of ribosomes. If all TASEPs have equal length, we find behavior which is analogous to a single TASEP coupled to a finite pool. For the more generic case of chains with different lengths, several unanticipated new regimes emerge. A generalized domain wall theory captures our findings in good agreement with simulation results.

14 pages, 13 figures, v2: minor changes

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• Smooth or shock: universality in closed inhomogeneous driven single file motions
• Limited Resources Induce Bistability in Microtubule Length Regulation
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• Self-organized system-size oscillation of a stochastic lattice-gas model
• Dependence of the transportation time on the sequence in which particles with different hopping probabilities enter a lattice
• Reservoir crowding in a totally asymmetric simple exclusion process with Langmuir Kinetics
• Power spectra of TASEPs with a localized slow site