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Sibirskii Zhurnal Industrial'noi Matematiki, 2005, Volume 8, Number 3, Pages 149–162 (Mi sjim296)  
This article is cited in 9 scientific papers (total in 10 papers)

Study of a model of linear biomolecular synthesis with reversible processes

S. I. Fadeeva, V. A. Likhoshvaib, D. N. Shtokaloc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Institute of cytology and genetics Siberian Branch of the Russian Academy of Sciences
c Novosibirsk State University
Full-text PDF (274 kB) Citations (10)
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Abstract: The results are presented of studying a mathematical model of linear biomolecular synthesis which accounts for the reversibility of attaching a monomer to a growing molecule and some spontaneous termination of the synthesis. A previous model of a synthesis ignored the influence of reversibility and sinks. It is shown that if the rate of the monomer attachment (the direct process) exceeds the rate of the monomer removal (the reverse process) then the passage to the limit model with infinitely many stages leads to a delay differential equation. For any other ratios of the rates, the solution reaches a stationary state.
Received: 31.05.2005
English version:
Journal of Applied and Industrial Mathematics, 2007, Volume 1, Issue 2, Pages 178–189
DOI: https://doi.org/10.1134/S1990478907020081
Bibliographic databases:
UDC: 519.61:577.21
Language: Russian
Citation: S. I. Fadeev, V. A. Likhoshvai, D. N. Shtokalo, “Study of a model of linear biomolecular synthesis with reversible processes”, Sib. Zh. Ind. Mat., 8:3 (2005), 149–162; J. Appl. Industr. Math., 1:2 (2007), 178–189
Citation in format AMSBIB
\Bibitem{FadLikSht05}
\by S.~I.~Fadeev, V.~A.~Likhoshvai, D.~N.~Shtokalo
\paper Study of a~model of linear biomolecular synthesis with reversible processes
\jour Sib. Zh. Ind. Mat.
\yr 2005
\vol 8
\issue 3
\pages 149--162
\mathnet{http://mi.mathnet.ru/sjim296}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2221648}
\zmath{https://zbmath.org/?q=an:1097.92020}
\transl
\jour J. Appl. Industr. Math.
\yr 2007
\vol 1
\issue 2
\pages 178--189
\crossref{https://doi.org/10.1134/S1990478907020081}
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  • https://www.mathnet.ru/eng/sjim/v8/i3/p149
    Erratum
    • Letter to the Editor
      S. I. Fadeev, V. A. Likhoshvai, D. N. Shtokalo
      Sib. Zh. Ind. Mat., 2011, 14:1, 150
    This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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