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

Igor S. Aranson, Lev S. Tsimring

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120 Scopus citations

Abstract

We derive a model describing spatiotemporal 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.

Original languageEnglish (US)
Article number050901
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume71
Issue number5
DOIs
StatePublished - May 2005

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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