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Pattern formation of microtubules and motors: inelastic interaction of polar rods

Authors
  • Aranson, Igor S.
  • Tsimring, Lev S.
Type
Published Article
Publication Date
Apr 26, 2005
Submission Date
Apr 26, 2005
Identifiers
DOI: 10.1103/PhysRevE.71.050901
arXiv ID: cond-mat/0504683
Source
arXiv
License
Unknown
External links

Abstract

We derive a model describing spatio-temporal organization of an array of microtubules interacting via molecular motors. Starting from a stochastic model of inelastic polar rods with a generic anisotropic interaction kernel we obtain a set of equations for the local rods concentration and orientation. At large enough mean density of rods and concentration of motors, the model describes orientational instability. We demonstrate that the orientational instability leads to the formation of vortices and (for large density and/or kernel anisotropy) asters seen in recent experiments.

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