Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/43907
Title: | Analytical aspects of the Brownian motor effect in randomly flashing ratchets | Authors: | Vorotnikov, Dmitry | Keywords: | Diffusion; Mathematical Concepts; Molecular Motor Proteins; Muscle Contraction; Protein Conformation; Models, Biological | Issue Date: | 2013 | Publisher: | Springer | Project: | PEst-C/MAT/UI0324/2011 | Serial title, monograph or event: | Journal of Mathematical Biology | Volume: | 68 | Issue: | 7 | Abstract: | The muscle contraction, operation of ATP synthase, maintaining the shape of a cell are believed to be secured by motor proteins, which can be modelled using the Brownian ratchet mechanism. We consider the randomly flashing ratchet model of a Brownian motor, where the particles can be in two states, only one of which is sensitive the applied spatially periodic potential (the mathematical setting is a pair of weakly coupled reaction-diffusion and Fokker-Planck equations). We prove that this mechanism indeed generates unidirectional transport by showing that the amount of mass in the wells of the potential decreases/increases from left to right. The direction of transport is unambiguously determined by the location of each minimum of the potential with respect to the so-called diffusive mean of its adjacent maxima. The transport can be generated not only by an asymmetric potential, but also by a symmetric potential and asymmetric transition rates, and as a consequence of the general result we derive explicit conditions when the latter happens. When the transitions are localized on narrow active sites in the protein conformation space, we find a more explicit characterization of the bulk transport direction, and infer that some common preconditions of the motor effect are redundant. | URI: | https://hdl.handle.net/10316/43907 | DOI: | 10.1007/s00285-013-0684-4 10.1007/s00285-013-0684-4 |
Rights: | embargoedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
Show full item record
SCOPUSTM
Citations
7
checked on Sep 23, 2024
WEB OF SCIENCETM
Citations
10
6
checked on Oct 2, 2024
Page view(s)
209
checked on Oct 1, 2024
Download(s)
193
checked on Oct 1, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.