Solvable model of a many-filament Brownian ratchet.

  title={Solvable model of a many-filament Brownian ratchet.},
  author={Anthony J Wood and Richard A. Blythe and Martin R. Evans},
  journal={Physical review. E},
  volume={100 4-1},
We construct and exactly solve a model of an extended Brownian ratchet. The model comprises an arbitrary number of heterogeneous, growing and shrinking filaments which together move a rigid membrane by a ratchet mechanism. The model draws parallels with the dynamics of actin filament networks at the leading edge of the cell. In the model, the filaments grow and contract stochastically. The model also includes forces which derive from a potential dependent on the separation between the filaments… 

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