Asymptotics of a Brownian ratchet for protein translocation

Andrej Depperschmidt and Peter Pfaffelhuber

Stochastic Processes and their Applications, 2010, vol. 120, issue 6, 901-925

Abstract: Protein translocation in cells has been modelled by Brownian ratchets. In such models, the protein diffuses through a nanopore. On one side of the pore, ratcheting molecules bind to the protein and hinder it to diffuse out of the pore. We study a Brownian ratchet by means of a reflected Brownian motion (Xt)t>=0 with a changing reflection point (Rt)t>=0. The rate of change of Rt is [gamma](Xt-Rt) and the new reflection boundary is distributed uniformly between Rt- and Xt. The asymptotic speed of the ratchet scales with [gamma]1/3 and the asymptotic variance is independent of [gamma].

Keywords: Brownian; motion; Reflected; Brownian; motion; Cumulative; process; Protein; translocation; Ratchet; mechanism (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (1)

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