Competition for finite resources

TL;DR

This paper models resource competition in cells by connecting two TASEPs to a finite particle pool, analyzing how varying entry and exit rates affect protein synthesis dynamics.

Contribution

It extends previous TASEP models by examining the impact of different entry and exit rates on resource competition and cellular component densities.

Findings

Different entry and exit rates significantly alter particle density and current.

Finite resource constraints lead to non-trivial steady-state behaviors.

Model provides insights into cellular resource allocation mechanisms.

Abstract

The resources in a cell are finite, which implies that the various components of the cell must compete for resources. One such resource is the ribosomes used during translation to create proteins. Motivated by this example, we explore this competition by connecting two totally asymmetric simple exclusion processes (TASEPs) to a finite pool of particles. Expanding on our previous work, we focus on the effects on the density and current of having different entry and exit rates.