SciPost Submission Page
Exclusion process subject to conformational size changes
by Yvan Rousset, Luca Ciandrini, Norbert Kern
- Published as SciPost Phys. 6, 077 (2019)
|As Contributors:||Luca Ciandrini · Norbert Kern · Yvan Rousset|
|Arxiv Link:||https://arxiv.org/abs/1902.03645v1 (pdf)|
|Date submitted:||2019-02-12 01:00|
|Submitted by:||Ciandrini, Luca|
|Submitted to:||SciPost Physics|
We introduce a model for stochastic transport on a one-dimensional substrate with particles assuming different conformations during their stepping cycles. These conformations correspond to different footprints on the substrate: in order to advance, particles are subject to successive contraction and expansion steps with different characteristic rates. We thus extend the paradigmatic exclusion process, provide predictions for all regimes of these rates that are in excellent agreement with simulations, and show that the current-density relation may be affected considerably. Symmetries are discussed, and exploited. We discuss our results in the context of molecular motors, confronting a hand-over-hand and an inchworm stepping mechanism, as well as for ribosomes.
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Published as SciPost Phys. 6, 077 (2019)
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Reports on this Submission
Anonymous Report 1 on 2019-6-7 (Contributed Report)
- Cite as: Anonymous, Report on arXiv:1902.03645v1, delivered 2019-06-07, doi: 10.21468/SciPost.Report.1012
The article presents an exclusion process on a one-dimensional grid motivated by biological systems. It is like a totally asymmetric exclusion process, but the particles have two modes of advancing: stretching and contracting like a worm or doing "somersaults" - which is like contracting and then stretching. The phenomenology depends quite strongly on the ratio of lengths. For the particular case of ratio lengths 2-1 the authors uncover a nontrivial particle-hole symmetry, otherwise this symmetry is lost. The authors develop a modified mean-field approximation that gives very good results. Finally, they discuss the consequences in the biological context. The paper is very well argued and convincing. I recommend its publication.