Abstract
Here we introduce a model for spatio-temporal self-organization of an ensemble of microtubules interacting via molecular motors. Starting from a generic stochastic model of inelastic polar rods with an anisotropic interaction kernel we derive 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. The corresponding phase diagram of vortexasters transitions is in qualitative agreement with experiment.
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Aranson, I.S., Tsimring, L.S. (2006). SELF-ORGANIZATION OF MICROTUBULES AND MOTORS. In: Golovin, A.A., Nepomnyashchy, A.A. (eds) Advances in Sensing with Security Applications. NATO Science Series II: Mathematics, Physics and Chemistry, vol 218. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4355-4_09
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DOI: https://doi.org/10.1007/1-4020-4355-4_09
Publisher Name: Springer, Dordrecht
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