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

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

2009-06-19

arxiv.org/abs/0906.3730v3

PHYSICAL REVIEW E 80, 031142 (2009)

Physics

Condensed Matter

Statistical Mechanics

14 pages, 13 figures, v2: minor changes

Scientific paper

10.1103/PhysRevE.80.031142

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.

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