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

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.

• Publication year

  2005

• Venue

  Physical review. E, Statistical, nonlinear, and soft matter physics

• Publication date

  2005-04-26

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevE.71.050901arXiv cond-mat/0504683PMID 16089514
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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