Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-01-06
Physics
Condensed Matter
Statistical Mechanics
21 pages, 6 figures: Combined figures, fixed typos, added extra material, altered symbolism to avoid confusion. Accepted by Ne
Scientific paper
We develop a model to describe the force generated by the polymerization of an array of parallel biofilaments. The filaments are assumed to be coupled only through mechanical contact with a movable barrier. We calculate the filament density distribution and the force-velocity relation with a mean-field approach combined with simulations. We identify two regimes: a non-condensed regime at low force in which filaments are spread out spatially, and a condensed regime at high force in which filaments accumulate near the barrier. We confirm a result previously known from other related studies, namely that the stall force is equal to N times the stall force of a single filament. In the model studied here, the approach to stalling is very slow, and the velocity is practically zero at forces significantly lower than the stall force.
Joanny Jean-Francois
Lacoste David
Mallick Kirone
Tsekouras K.
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