1306.2591 (L. Jonathan Cook et al.)

The interplay between finite resources and local defect in an asymmetric
simple exclusion process    [PDF]

L. Jonathan Cook, J. J. Dong, Alexander LaFleur

We investigate the totally asymmetric simple exclusion model with controlled entrance and a defect site in the bulk to mimic the finite particle pool and non-uniform moving rates in particle transport processes. The findings in both steady state current and density profiles provide quantitative insights into the regulation of the transcription and translation process in bacterial protein synthesis. Utilizing both Monte Carlo simulations and mean-field approach, we present details in the interplay between the regulated particle entry and the local defect.

View original: http://arxiv.org/abs/1306.2591