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

Igor S. Aranson, Lev S. Tsimring

Research output: Contribution to journalArticle

111 Citations (Scopus)

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 1 2005

Fingerprint

Microtubules
Anisotropy
Pattern Formation
rods
kernel
Molecular Motor
Interaction
Stochastic Model
Vortex
interactions
Model
vortices
Demonstrate
Experiment
anisotropy

All Science Journal Classification (ASJC) codes

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

Cite this

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Pattern formation of microtubules and motors : Inelastic interaction of polar rods. / Aranson, Igor S.; Tsimring, Lev S.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 71, No. 5, 050901, 01.05.2005.

Research output: Contribution to journalArticle

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