Show simple item record

dc.contributor.authorZarai, Yoram
Margaliot, Michael
Kolomeisky, Anatoly B.
dc.date.accessioned 2017-09-19T14:07:17Z
dc.date.available 2017-09-19T14:07:17Z
dc.date.issued 2017
dc.identifier.citation Zarai, Yoram, Margaliot, Michael and Kolomeisky, Anatoly B.. "A deterministic model for one-dimensional excluded flow with local interactions." PLoS ONE, 12, no. 8 (2017) Public Library of Science: https://doi.org/10.1371/journal.pone.0182074.
dc.identifier.urihttps://hdl.handle.net/1911/97394
dc.description.abstract Natural phenomena frequently involve a very large number of interacting molecules moving in confined regions of space. Cellular transport by motor proteins is an example of such collective behavior. We derive a deterministic compartmental model for the unidirectional flow of particles along a one-dimensional lattice of sites with nearest-neighbor interactions between the particles. The flow between consecutive sites is governed by a “soft” simple exclusion principle and by attracting or repelling forces between neighboring particles. Using tools from contraction theory, we prove that the model admits a unique steady-state and that every trajectory converges to this steady-state. Analysis and simulations of the effect of the attracting and repelling forces on this steady-state highlight the crucial role that these forces may play in increasing the steady-state flow, and reveal that this increase stems from the alleviation of traffic jams along the lattice. Our theoretical analysis clarifies microscopic aspects of complex multi-particle dynamic processes.
dc.language.iso eng
dc.publisher Public Library of Science
dc.rights This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.title A deterministic model for one-dimensional excluded flow with local interactions
dc.type Journal article
dc.citation.journalTitle PLoS ONE
dc.citation.volumeNumber 12
dc.citation.issueNumber 8
dc.identifier.digital Deterministic_model_one-dimensional_excluded_flow
dc.type.dcmi Text
dc.identifier.doihttps://doi.org/10.1371/journal.pone.0182074
dc.type.publication publisher version
dc.citation.articleNumber e0182074


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Except where otherwise noted, this item's license is described as This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.