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A totally asymmetric exclusion process with stochastically mediated entrance and exit

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JournalJournal of Physics A: Mathematical and Theoretical
DatePublished - 6 Nov 2009
Issue number44
Volume42
Number of pages10
Pages (from-to)1-10
Original languageEnglish

Abstract

The asymmetric exclusion process is a well-established model in statistical physics that exhibits non-equilibrium phase transitions. It has received considerable attention of late as it is widely applicable to problems in molecular biology involving the transit of component parts along specified tracks or pathways. In this paper we use a self-consistent mean-field approach, backed up by Monte Carlo simulations, to examine the case where the exit from such a track is 'gated' by the presence of some external component that is capable of binding and unbinding from an additional site to the track; exit from the path is only possible by the bound presence of this component. We not only compute the relevant phase diagrams for this instance both in terms of the exit and entrance rates but also the binding and unbinding rates of the 'gate' and comment on this model's applicability to problems in biology.

    Research areas

  • Mathematical Biology;, Computational Physics;, Biological physics;, Statistical physics and nolinear systems;

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