Power Spectra of a Constrained Totally Asymmetric Simple Exclusion Process

Details Power Spectra of a Constrained Totally Asymmetric Simple Exclusion Process Power Spectra of a Constrained Totally Asymmetric Simple Exclusion Process

2009-11-25

arxiv.org/abs/0911.4735v2

J. Stat. Mech. (2010) P07014

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures v2: formatting changes

Scientific paper

10.1088/1742-5468/2010/07/P07014

To synthesize proteins in a cell, an mRNA has to work with a finite pool of ribosomes. When this constraint is included in the modeling by a totally asymmetric simple exclusion process (TASEP), non-trivial consequences emerge. Here, we consider its effects on the power spectrum of the total occupancy, through Monte Carlo simulations and analytical methods. New features, such as dramatic suppressions at low frequencies, are discovered. We formulate a theory based on a linearized Langevin equation with discrete space and time. The good agreement between its predictions and simulation results provides some insight into the effects of finite resoures on a TASEP.

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