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Sibirskii Zhurnal Industrial'noi Matematiki, 2012, Volume 15, Number 4, Pages 110–117 (Mi sjim757)  
The bistability of nitrite utilization by Escherichia coli: analysis of the mathematical model

N. A. Ria, T. M. Khlebodarovaa, V. V. Kogaibc, S. I. Fadeevcb, V. A. Likhoshvaiac

a Institute of Cytology and Genetics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
c Novosibirsk State University, Novosibirsk, Russia
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Abstract: A mathematical model describing nitrite utilization by E. coli cells grown in a flow chemostat is analyzed. The system is of interest from the standpoint of the analysis of the mechanisms by which a cell utilizes toxic substrates in respiration. It is demonstrated that the system admits the appearance of two stationary nitrite concentrations; thus, it becomes bistable. The range of nitrite supply rate into the chemostat for which the model is bistable is determined. The model predicts the possibility of spontaneous death of the culture in transition between the stationary states.
Keywords: gene expression regulation, Escherichia coli, anaerobic respiration, modeling, bistability.
Received: 29.06.2012
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 2, Pages 252–258
DOI: https://doi.org/10.1134/S1990478913020154
Document Type: Article
UDC: 519.62+577.218+57.017.723+004.94+57+51
Language: Russian
Citation: N. A. Ri, T. M. Khlebodarova, V. V. Kogai, S. I. Fadeev, V. A. Likhoshvai, “The bistability of nitrite utilization by Escherichia coli: analysis of the mathematical model”, Sib. Zh. Ind. Mat., 15:4 (2012), 110–117; J. Appl. Industr. Math., 7:2 (2013), 252–258
Citation in format AMSBIB
\Bibitem{RiKhlKog12}
\by N.~A.~Ri, T.~M.~Khlebodarova, V.~V.~Kogai, S.~I.~Fadeev, V.~A.~Likhoshvai
\paper The bistability of nitrite utilization by {\it Escherichia coli}: analysis of the mathematical model
\jour Sib. Zh. Ind. Mat.
\yr 2012
\vol 15
\issue 4
\pages 110--117
\mathnet{http://mi.mathnet.ru/sjim757}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 2
\pages 252--258
\crossref{https://doi.org/10.1134/S1990478913020154}
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    		Сибирский журнал индустриальной математики
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