Non-equilibrium self-assembly of a filament coupled to ATP/GTP hydrolysis

Details Non-equilibrium self-assembly of a filament coupled to ATP/GTP hydrolysis Non-equilibrium self-assembly of a filament coupled to ATP/GTP hydrolysis

2008-09-12

arxiv.org/abs/0809.2228v1

Biophys. J., 96, 2146 (2009)

Physics

Condensed Matter

Soft Condensed Matter

34 pages

Scientific paper

10.1016/j.bpj.2008.12.3920

We study the stochastic dynamics of growth and shrinkage of single actin filaments or microtubules taking into account insertion, removal, and ATP/GTP hydrolysis of subunits. The resulting phase diagram contains three different phases: a rapidly growing phase, an intermediate phase and a bound phase. We analyze all these phases, with an emphasis on the bound phase. We also discuss how hydrolysis affects force-velocity curves. The bound phase shows features of dynamic instability, which we characterize in terms of the time needed for the ATP/GTP cap to disappear as well as the time needed for the filament to reach a length of zero, i.e., (to collapse) for the first time. We obtain exact expressions for all these quantities, which we test using Monte Carlo simulations.

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