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/content/aip/journal/jcp/141/16/10.1063/1.4899052
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15.See supplementary material at http://dx.doi.org/10.1063/1.4899052 for detailed calculations and discussion of numerical techniques. [Supplementary Material]
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18.Setting the base of each filament at the same height, so that all filament sub-lattices lie in register, results in qualitatively different kinetics. For instance, the steady drift velocity v determined from simulations grows as N increases but saturates well below its kinetic limit of kona.
19.
19.Note that P describes an ensemble of N-filament ratchets with uniformly distributed lattice alignments. For small N, the dynamics depends strongly on the relative alignment of filaments; our approach averages over these alignments.
20.
20.Using the balance with the MF boundary condition and the velocity relation , we compute , which is large when Dv3/2.
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/content/aip/journal/jcp/141/16/10.1063/1.4899052
2014-10-27
2016-09-26

Abstract

Many forms of cell motility rely on Brownian ratchet mechanisms that involve multiple stochastic processes. We present a computational and theoretical study of the nonequilibrium statistical dynamics of such a many-body ratchet, in the specific form of a growing polymer gel that pushes a diffusing obstacle. We find that oft-neglected correlations among constituent filaments impact steady-state kinetics and significantly deplete the gel's density within molecular distances of its leading edge. These behaviors are captured quantitatively by a self-consistent theory for extreme fluctuations in filaments' spatial distribution.

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