Asymptotics of a Brownian ratchet for protein translocation

Depperschmidt A, Pfaffelhuber P (2010)

Publication Type: Journal article, Original article

Publication year: 2010

Journal

Stochastic Processes and their Applications Elsevier

Book Volume: 120

Pages Range: 901-925

Journal Issue: 6

DOI: 10.1016/j.spa.2010.01.018

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 γ (Xt - Rt) and the new reflection boundary is distributed uniformly between Rt - and Xt. The asymptotic speed of the ratchet scales with γ^{1 / 3} and the asymptotic variance is independent of γ. © 2010 Elsevier B.V. All rights reserved.

Authors with CRIS profile

Andrej Depperschmidt

Involved external institutions

Albert-Ludwigs-Universität Freiburg

Germany (DE)

How to cite

APA:

Depperschmidt, A., & Pfaffelhuber, P. (2010). Asymptotics of a Brownian ratchet for protein translocation. Stochastic Processes and their Applications, 120(6), 901-925. https://dx.doi.org/10.1016/j.spa.2010.01.018

MLA:

Depperschmidt, Andrej, and Peter Pfaffelhuber. "Asymptotics of a Brownian ratchet for protein translocation." Stochastic Processes and their Applications 120.6 (2010): 901-925.

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