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Published in

Elsevier, Chemical Physics, (435), p. 14-20, 2014

DOI: 10.1016/j.chemphys.2014.03.001

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Kinetics of target searching by means of two diffusion-like motions

Journal article published in 2014 by Konstantin L. Ivanov ORCID, Nikita N. Lukzen
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

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Abstract

A theoretical approach to stochastic searching of a small target is developed, which can be applied, for instance, to searching for a damaged site on the DNA molecule by a DNA repair enzyme. It is assumed that the searching molecule moves along a chain of sites by means of stochastic jumps to the adjacent positions (one-dimensional 'sliding'); the second motion models diffusion in three dimensions. A general expression is obtained for the flux to the damaged site. A special case is analyzed where the second motion is treated as effective 1D diffusion; the effective searching time is estimated. It is shown that the faster second motion shortens the searching time. A more realistic case where the second kind of motion leads to jumps not only to the adjacent site is also treated: it is shown that the diffusional search is facilitated even further.