Bistability of the system of nitrite utilization by Escherichia Coli: Analysis of a mathematical model
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  • 作者:N. A. Ri (14276)
    T. M. Khlebodarova (14276)
    V. V. Kogai (24276) (34276)
    S. I. Fadeev (24276) (34276)
    V. A. Likhoshvai (14276) (34276)
  • 关键词:gene expression regulation ; Escherichia coli ; anaerobic respiration ; modeling ; bistability
  • 刊名:Journal of Applied and Industrial Mathematics
  • 出版年:2013
  • 出版时间:April 2013
  • 年:2013
  • 卷:7
  • 期:2
  • 页码:252-258
  • 全文大小:534KB
  • 参考文献:1. H. Wang and R. P. Gunsalus, 鈥淭he / nrfA and / nirB Nitrite Reductase Operons in / Escherichia coli Are Expressed Differently in Response to Nitrate Than to Nitrite,鈥?J. Bacteriol. trong class="a-plus-plus">82trong>, 5813鈥?822 (2000). ternal" href="http://dx.doi.org/10.1128/JB.182.20.5813-5822.2000">CrossRef
    2. J. F. Hervagault and S. Canu, 鈥淏istability and Irreversible Transitions in a Simple Substrate Cycle,鈥?J. Theor. Biol. trong class="a-plus-plus">127trong>, 439鈥?49 (1987). ternal" href="http://dx.doi.org/10.1016/S0022-5193(87)80141-8">CrossRef
    3. K. W. Raymond and Y. Pocker, 鈥淏istability and the Ordered Bimolecular Mechanism,鈥?Biochem. Cell Biol. trong class="a-plus-plus">69trong>, 661鈥?64 (1991). ternal" href="http://dx.doi.org/10.1139/o91-098">CrossRef
    4. S. Chaudhury and O. A. Igoshin, 鈥淒ynamic Disorder-Driven Substrate Inhibition and Bistability in a Simple Enzymatic Reaction,鈥?J. Phys. Chem. B. trong class="a-plus-plus">113trong>, 13421鈥?3428 (2009). ternal" href="http://dx.doi.org/10.1021/jp907908d">CrossRef
    5. P. Shen and R. Larter, 鈥淩ole of Substrate Inhibition Kinetics in Enzymatic Chemical Oscillations,鈥?Biophys. J. trong class="a-plus-plus">67trong>(4), 1414鈥?428 (1994). ternal" href="http://dx.doi.org/10.1016/S0006-3495(94)80615-0">CrossRef
    6. V. Likhoshvai and A. Ratushny, 鈥淕eneralized Hill Function Method for Modeling Molecular Processes,鈥?J. Bioinform. Comput. Biol. trong class="a-plus-plus">5trong>(2B), 521鈥?31 (2007). ternal" href="http://dx.doi.org/10.1142/S0219720007002837">CrossRef
    7. J. A. Cole, B. M. Newman, and P. White, 鈥淏iochemical and Genetic Characterization of / nirB Mutants of / Escherichia coli K12 Pleiotropically Defective in Nitrite and Sulphite Reduction,鈥?J. Gen. Microbiol. trong class="a-plus-plus">120trong>, 475鈥?83 (1980).
    8. G. L. Kemp, T. A. Clarke, S. J. Marritt, C. Lockwood, S. R. Poock, A. M. Hemmings, D. J. Richardson, M. R. Cheesman, and J. N. Butt, 鈥淜inetic and ThermodynamicResolution of the Interactions between Sulfite and the Pentahaem Cytochrome / NrfA from / Escherichia coli,鈥?Biochem. J. trong class="a-plus-plus">431trong>, 73鈥?0 (2010). ternal" href="http://dx.doi.org/10.1042/BJ20100866">CrossRef
    9. H. Wang, C. P. Tseng, and R. P. Gunsalus, 鈥淭he / napF and / narG Nitrate Reductase Operons in / Escherichia coli are Differentially Expressed in Response to Submicromolar Concentrations of Nitrate but not Nitrite,鈥?J. Bacteriol. trong class="a-plus-plus">181trong>, 5303鈥?308 (1999).
    10. K. Talmadge and W. Gilbert, 鈥淐ellular Location Affects Protein Stability in / Escherichia coli,鈥?Proc. Natl. Acad. Sci. USA trong class="a-plus-plus">79trong>(6), 1830鈥?833 (1982). ternal" href="http://dx.doi.org/10.1073/pnas.79.6.1830">CrossRef
    11. I. Bendixson, 鈥淪ur les courbes definies par des equations differentielles,鈥?ActaMath. trong class="a-plus-plus">24trong>, 1鈥?8 (1901).
    12. S. I. Fadeev, S. A. Pokrovskaya, A. Yu. Berezin, and I. A. Gainova, / The STEP Program Package for the Numerical Study of Systems of Nonlinear Equations and Autonomous Systems of the General Kind: a Textbook (Novosibirsk State Univ., Novosibirsk, 1998) [in Russian].
    13. M. Holodniok, A. Kli膷, M. Kubi膷ek M., and M. Marek, / Metody Anal媒zy Neline谩rn铆ch Dynamick媒ch Model煤 ( / Methods of Analysis of Nonlinear DynamicalModels) (Academia, Prague, 1986; Mir, Moscow, 1991).
    14. Yu. S. Zav鈥檡alov, B. I. Kvasov, and V. L. Miroshnichenko, / Methods of Spline-Functions (Nauka, Moscow, 1980) [in Russian].
    15. S. Mehra, S. Charaniya, E. Takano, and W. S. Hu, 鈥淎 Bistable Gene Switch for Antibiotic Biosynthesis: The Butyrolactone Regulon in Streptomyces Coelicolor,鈥?PLoS One trong class="a-plus-plus">3trong>(7), e2724 (2008). ternal" href="http://dx.doi.org/10.1371/journal.pone.0002724">CrossRef
    16. D. Angeli, J. E. Ferrell, Jr., and E. D. Sontag, 鈥淒etection of Multistability, Bifurcations, and Hysteresis in a Large Class of Biological Positive-Feedback Systems,鈥?Proc. Natl. Acad. Sci. USA trong class="a-plus-plus">101trong>(7), 1822鈥?827 (2004). ternal" href="http://dx.doi.org/10.1073/pnas.0308265100">CrossRef
  • 作者单位:N. A. Ri (14276)
    T. M. Khlebodarova (14276)
    V. V. Kogai (24276) (34276)
    S. I. Fadeev (24276) (34276)
    V. A. Likhoshvai (14276) (34276)

    14276. Institute of Cytology and Genetics, pr. Akad. Lavrent鈥檈va 10, Novosibirsk, 630090, Russia
    24276. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
    34276. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
  • ISSN:1990-4797
文摘
Some mathematical model is analyzed describing nitrite utilization by E. coli cells grown in a flow chemostat. 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 the nitrite supply rate into the chemostat for which the model is bistable is determined. The model predicts the possibility of a spontaneous death of the culture in transition between stationary states.

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