Collective effects in models for interacting molecular motors and motor-microtubule mixtures

Gautam I. Menon

Physica A: Statistical Mechanics and its Applications, 2006, vol. 372, issue 1, 96-112

Abstract: Three problems in the statistical mechanics of models for an assembly of molecular motors interacting with cytoskeletal filaments are reviewed. First, a description of the hydrodynamical behaviour of density–density correlations in fluctuating ratchet models for interacting molecular motors is outlined. Numerical evidence indicates that the scaling properties of dynamical behaviour in such models belong to the KPZ universality class. Second, the generalization of such models to include boundary injection and removal of motors is provided. In common with known results for the asymmetric exclusion processes, simulations indicate that such models exhibit sharp boundary driven phase transitions in the thermodynamic limit. In the third part of this paper, recent progress towards a continuum description of pattern formation in mixtures of motors and microtubules is described, and a non-equilibrium “phase-diagram” for such systems discussed.

Keywords: Molecular motors; Brownian ratchets; Microtubules; Pattern formation; Hydrodynamics; Exclusion processes (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:372:y:2006:i:1:p:96-112

DOI: 10.1016/j.physa.2006.05.025

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