Transport on a lattice with dynamical defects

Francesco Turci, Andrea Parmeggiani, Estelle Pitard, M. Carmen Romano, and Luca Ciandrini
Phys. Rev. E 87, 012705 – Published 9 January 2013

Abstract

Many transport processes in nature take place on substrates, often considered as unidimensional lanes. These unidimensional substrates are typically nonstatic: Affected by a fluctuating environment, they can undergo conformational changes. This is particularly true in biological cells, where the state of the substrate is often coupled to the active motion of macromolecular complexes, such as motor proteins on microtubules or ribosomes on mRNAs, causing new interesting phenomena. Inspired by biological processes such as protein synthesis by ribosomes and motor protein transport, we introduce the concept of localized dynamical sites coupled to a driven lattice gas dynamics. We investigate the phenomenology of transport in the presence of dynamical defects and find a regime characterized by an intermittent current and subject to severe finite-size effects. Our results demonstrate the impact of the regulatory role of the dynamical defects in transport not only in biology but also in more general contexts.

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  • Received 7 July 2012

DOI:https://doi.org/10.1103/PhysRevE.87.012705

©2013 American Physical Society

Authors & Affiliations

Francesco Turci1,2,*, Andrea Parmeggiani1,3, Estelle Pitard1, M. Carmen Romano4,5, and Luca Ciandrini4,*,†

  • 1Laboratoire Charles Coulomb, Université Montpellier 2 and CNRS, 34095 Montpellier, Cedex 5, France
  • 2Theory of Soft Condensed Matter, Université du Luxembourg, L-1511 Luxembourg, Luxembourg
  • 3Laboratoire de Dynamique des Interactions Membranaires Normales et Pathologiques, UMR 5235 CNRS, Université Montpellier 2 and Université Montpellier 1, 34095 Montpellier, Cedex 5, France
  • 4SUPA, Institute for Complex Systems and Mathematical Biology, King's College, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom
  • 5Institute of Medical Sciences, Foresterhill, University of Aberdeen, Aberdeen AB25 2ZD, United Kingdom

  • *These authors contributed equally to this work.
  • Present address: Laboratoire de Dynamique des Interactions Membranaires Normales et Pathologiques, UMR 5235, Université Montpellier 2, luca.ciandrini@gmail.com

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Vol. 87, Iss. 1 — January 2013

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