title: 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 regimes emerge. A generalized domain-wall theory captures our findings in good agreement with simulation results.
authors.affiliation: Department of Physics, Virginia Tech, Blacksburg, Virginia 24061, USA. lacook1@vt.edu
authors.forename: L Jonathan
authors.initials: LJ
authors.lastname: Cook
authors.forename: R K P
authors.initials: RK
authors.lastname: Zia
authors.forename: B
authors.initials: B
authors.lastname: Schmittmann