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

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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 orientatio...

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Macroscopic equations for pattern formation in mixtures of microtubules and motors

Inspired by patterns observed in mixtures of microtubules and molecular motors, we propose continuum equations for the evolution of motor density, and microtubule orientation. The chief ingredients are the transport of motors along tubules, and the alignment of tubules in the process. The macroscopic equations lead to aster and vortex patterns in qualitative agreement with experiments. While th...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2005

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.71.050901