Geodesic
The bistability of nitrite utilization by {\it Escherichia coli}: analysis of the mathematical model
Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 4, pp. 110-117

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{SJIM_2012_15_4_a10,
     author = {N. A. Ri and T. M. Khlebodarova and V. V. Kogai and S. I. Fadeev and V. A. Likhoshvai},
     title = {The bistability of nitrite utilization by {\it {Escherichia} coli}: analysis of the mathematical model},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {110--117},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2012_15_4_a10/}
}
TY  - JOUR
AU  - N. A. Ri
AU  - T. M. Khlebodarova
AU  - V. V. Kogai
AU  - S. I. Fadeev
AU  - V. A. Likhoshvai
TI  - The bistability of nitrite utilization by {\it Escherichia coli}: analysis of the mathematical model
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2012
SP  - 110
EP  - 117
VL  - 15
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2012_15_4_a10/
LA  - ru
ID  - SJIM_2012_15_4_a10
ER  - 
%0 Journal Article
%A N. A. Ri
%A T. M. Khlebodarova
%A V. V. Kogai
%A S. I. Fadeev
%A V. A. Likhoshvai
%T The bistability of nitrite utilization by {\it Escherichia coli}: analysis of the mathematical model
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2012
%P 110-117
%V 15
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2012_15_4_a10/
%G ru
%F SJIM_2012_15_4_a10
N. A. Ri; T. M. Khlebodarova; V. V. Kogai; S. I. Fadeev; V. A. Likhoshvai. The bistability of nitrite utilization by {\it Escherichia coli}: analysis of the mathematical model. Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 4, pp. 110-117. http://geodesic.mathdoc.fr/item/SJIM_2012_15_4_a10/