Computer Research and Modeling
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Computer Research and Modeling:
Year:
Volume:
Issue:
Page:
Find




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

Computer Research and Modeling, 2011, Volume 3, Issue 4, Pages 421–438
DOI: https://doi.org/10.20537/2076-7633-2011-3-4-421-438 (Mi crm568) 		 
This article is cited in 5 scientific papers (total in 5 papers)

ANALYSIS AND MODELING OF COMPLEX LIVING SYSTEMS

Effect of subcritical excitation of oscillations in stochastic systems with time delay. Part I. Regulation of gene expression

D. A. Bratsun

Perm State Pedagogical University, Faculty of Physics, 24 Sibirskaya str., Perm, 614600, Russia
Full-text PDF (605 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.20537/2076-7633-2011-3-4-421-438
Abstract: We study excitation of oscillations in the stochastic gene systems with time-delayed feedback loop during transcription. The oscillations arise due to interaction noise and time delay even when deterministic counterpart of the system exhibits stationary behaviour. This effect becomes important when degree-of-freedom of a system is not high, and role of fluctuations becomes principal. The analytical solution of master-equation is obtained. The results of numerical simulations are presented.
Keywords: time-delay, stochastic systems, oscillations, gene regulation.
Funding agency Grant number
Правительство Пермского края С-26/244
Ministry of Education and Science of the Russian Federation 14.740.11.0352
Received: 25.05.2011
Revised: 20.10.2011
Document Type: Article
UDC: 519.21
Language: Russian
Citation: D. A. Bratsun, “Effect of subcritical excitation of oscillations in stochastic systems with time delay. Part I. Regulation of gene expression”, Computer Research and Modeling, 3:4 (2011), 421–438
Citation in format AMSBIB
\Bibitem{Bra11}
\by D.~A.~Bratsun
\paper Effect of subcritical excitation of oscillations in stochastic systems with time delay. Part I. Regulation of gene expression
\jour Computer Research and Modeling
\yr 2011
\vol 3
\issue 4
\pages 421--438
\mathnet{http://mi.mathnet.ru/crm568}
\crossref{https://doi.org/10.20537/2076-7633-2011-3-4-421-438}
Linking options:
  • https://www.mathnet.ru/eng/crm568
  • https://www.mathnet.ru/eng/crm/v3/i4/p421
    Cycle of papers
    This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Computer Research and Modeling
    Statistics & downloads:
    Abstract page:67
    Full-text PDF :47
    References:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024