A Model for the Self-Organization of Microtubules Driven by Molecular Motors

Details A Model for the Self-Organization of Microtubules Driven by Molecular Motors A Model for the Self-Organization of Microtubules Driven by Molecular Motors

1999-11-10

arxiv.org/abs/cond-mat/9911140v1

Physics

Condensed Matter

Statistical Mechanics

23 pages, 10 figures, LaTeX, eps

Scientific paper

10.1007/s100510051150

We propose a two-dimensional model for the organization of stabilized microtubules driven by molecular motors in an unconfined geometry. In this model two kinds of dynamics are competing. The first one is purely diffusive, with an interaction between the rotational degrees of freedom, the second one is a local drive, dependent on microtubule polarity. As a result, there is a configuration dependent driving field. Applying a molecular field approximation, we are able to derive continuum equations. A study on the solutions shows nonequilibrium steady states. The presence and stability of such self-organized states are investigated in terms of entropy production. Numerical simulations confirm analytical results.

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