Simulation studies of self-organization of microtubules and molecular motors

Zhiyuan Jia, Dmitry Karpeev, Igor Aronson, Peter W. Bates

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We perform Monte Carlo type simulation studies of self-organization of microtubules interacting with molecular motors. We model microtubules as stiff polar rods of equal length exhibiting anisotropic diffusion in the plane. The molecular motors are implicitly introduced by specifying certain probabilistic collision rules resulting in realignment of the rods. This approximation of the complicated microtubule-motor interaction by a simple instant collision allows us to bypass the "computational bottlenecks" associated with the details of the diffusion and the dynamics of motors and the reorientation of microtubules. Consequently, we are able to perform simulations of large ensembles of microtubules and motors on a very large time scale. This simple model reproduces all important phenomenology observed in in vitro experiments: Formation of vortices for low motor density and raylike asters and bundles for higher motor density.

Original languageEnglish (US)
Article number051905
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume77
Issue number5
DOIs
StatePublished - May 8 2008

Fingerprint

Molecular Motor
Microtubules
Self-organization
Simulation Study
simulation
Collision
Anisotropic Diffusion
rods
Phenomenology
Instant
Vortex
collisions
Bundle
bypasses
Time Scales
Ensemble
phenomenology
retraining
bundles
Approximation

All Science Journal Classification (ASJC) codes

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

Cite this

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Simulation studies of self-organization of microtubules and molecular motors. / Jia, Zhiyuan; Karpeev, Dmitry; Aronson, Igor; Bates, Peter W.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 77, No. 5, 051905, 08.05.2008.

Research output: Contribution to journalArticle

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