PMID:18233496

Citation	Lakhanpal, A and Chou, T (2007) Brownian ratchets driven by asymmetric nucleation of hydrolysis waves. Phys. Rev. Lett. 99:248302
Abstract	We propose a stochastic process wherein molecular transport is mediated by asymmetric nucleation of domains on a one-dimensional substrate, in contrast with molecular motors that hydrolyze nucleotide triphosphates and undergo conformational change. We show that asymmetric nucleation of hydrolysis waves on a track can also result in directed motion of an attached particle. Asymmetrically cooperative kinetics between hydrolyzed and unhydrolyzed states on each lattice site generate moving domain walls that push a particle sitting on the track. We use a novel fluctuating-frame, finite-segment mean field theory to accurately compute steady-state velocities of the driven particle and to discover parameter regimes yielding maximal domain wall flux, leading to optimal particle drift.
Links	PubMed
Keywords	Adenosine Triphosphate/chemistry; Adenosine Triphosphate/metabolism; Diffusion; Hydrolysis; Kinetics; Models, Biological; Models, Chemical; Monte Carlo Method; Myosins/chemistry; Myosins/metabolism; Rec A Recombinases/chemistry; Rec A Recombinases/metabolism; Stochastic Processes
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