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

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

2005-04-26

arxiv.org/abs/cond-mat/0504683v1

Phys. Rev. E 71, 050901 (2005)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 5 figures, to appear in Phys. Rev. E, Rapid Communications

Scientific paper

10.1103/PhysRevE.71.050901

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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