Matematicheskaya Biologiya i Bioinformatika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Biolog. Bioinform.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Matematicheskaya Biologiya i Bioinformatika, 2015, Volume 10, Issue 2, Pages 473–481
DOI: https://doi.org/10/17537/2015.10.473
(Mi mbb239)
 

Mathematical Modeling

The random walks between pseudo-specific DNA sites as model of the facilitated diffusion of DNA-binding proteins

R. T. Sibatov, Yu. V. Saenko

Ulyanovsk State University
References:
Abstract: The facilitated diffusion of a regulatory protein in the process of searching for a specific target site on the DNA molecule is considered. On the basis of the hypothesis of ballistic motion of the protein between scatterings of pseudo-specific sites, we proposed a phenomenological model of one-dimensional translocation of the protein along DNA. Combining this approach with the model of discrete random walks we were able to get the relationships between the mean first passage time and such characteristics as the binding energy, the mean free path length between pseudo-specific sites, the speed of protein movement and the temperature. These dependencies allow revealing the thermal and energetic optima, at which minimum values of searching time are achieved.
Key words: facilitated diffusion, transcription factor, DNA, random walk, first passage time.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 6.1617.2014/K
Received 11.09.2015, Published 30.11.2015
Document Type: Article
UDC: 577.0; 57.036
Language: Russian
Citation: R. T. Sibatov, Yu. V. Saenko, “The random walks between pseudo-specific DNA sites as model of the facilitated diffusion of DNA-binding proteins”, Mat. Biolog. Bioinform., 10:2 (2015), 473–481
Citation in format AMSBIB
\Bibitem{SibSae15}
\by R.~T.~Sibatov, Yu.~V.~Saenko
\paper The random walks between pseudo-specific DNA sites as model of the facilitated diffusion of DNA-binding proteins
\jour Mat. Biolog. Bioinform.
\yr 2015
\vol 10
\issue 2
\pages 473--481
\mathnet{http://mi.mathnet.ru/mbb239}
\crossref{https://doi.org/10/17537/2015.10.473}
Linking options:
  • https://www.mathnet.ru/eng/mbb239
  • https://www.mathnet.ru/eng/mbb/v10/i2/p473
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024