Sibirskii Zhurnal Vychislitel'noi Matematiki
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


Sib. Zh. Vychisl. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Zhurnal Vychislitel'noi Matematiki, 2013, Volume 16, Number 2, Pages 171–184 (Mi sjvm508)  
Mathematical modeling of matter distribution in cells assembling into a ring

S. I. Fadeevab, V. V. Kogaiab, V. V. Mironovac, N. A. Omelyanchukc, V. A. Likhoshvaicb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk
c Institute of Cytology and Genetics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (332 kB)
References:
PDF
HTML
Abstract: In this paper, a mathematical model describing substance transport in a circular cell ensemble is considered. The model is represented by an autonomous system of equations. With a model of continuation with respect to a parameter, it is shown that stationary solutions may have different symmetry representing closed curves. Periodic solutions have the same property, whereas the component plots repeat each other by a simple shift.
Key words: cell ensemble, gene networks, autonomous system, circular model, stationary solution, auto-oscillations, model for continuation with respect to parameters.
Received: 30.03.2012
Revised: 18.04.2012
English version:
Numerical Analysis and Applications, 2013, Volume 6, Issue 2, Pages 151–162
DOI: https://doi.org/10.1134/S1995423913020079
Bibliographic databases:
Document Type: Article
UDC: 519.61+577.21
Language: Russian
Citation: S. I. Fadeev, V. V. Kogai, V. V. Mironova, N. A. Omelyanchuk, V. A. Likhoshvai, “Mathematical modeling of matter distribution in cells assembling into a ring”, Sib. Zh. Vychisl. Mat., 16:2 (2013), 171–184; Num. Anal. Appl., 6:2 (2013), 151–162
Citation in format AMSBIB
\Bibitem{FadKogMir13}
\by S.~I.~Fadeev, V.~V.~Kogai, V.~V.~Mironova, N.~A.~Omelyanchuk, V.~A.~Likhoshvai
\paper Mathematical modeling of matter distribution in cells assembling into a~ring
\jour Sib. Zh. Vychisl. Mat.
\yr 2013
\vol 16
\issue 2
\pages 171--184
\mathnet{http://mi.mathnet.ru/sjvm508}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3380118}
\elib{https://elibrary.ru/item.asp?id=20442555}
\transl
\jour Num. Anal. Appl.
\yr 2013
\vol 6
\issue 2
\pages 151--162
\crossref{https://doi.org/10.1134/S1995423913020079}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84878832461}
Linking options:
  • https://www.mathnet.ru/eng/sjvm508
  • https://www.mathnet.ru/eng/sjvm/v16/i2/p171
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
    Statistics & downloads:
    Abstract page:265
    Full-text PDF :67
    References:43
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024