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Mathematical Simulation of the Dynamics of Interacting Populations of Rhizosphere Microorganisms

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Abstract

A quantitative model is proposed to describe the population dynamics of associative nitrogen-fixing microorganisms in the plant rhizosphere as dependent on the rate of carbon substrate exudation by plant roots. By changing the values of the basic model parameters, the effect of various factors on the behavior of two competing populations of rhizosphere microorganisms can be studied.

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REFERENCES

  1. Newman, E.I. and Watson, A., Microbial Abundance in the Rhizosphere: a Computer Model, Plant Soil, 1977, vol. 48, pp. 17–56.

    Google Scholar 

  2. Panikov, N.S., Synthetic Chemostat Model as a Means to Describe Complex Dynamic Behavior of Microorganisms, Mikrobiologiya, 1991, vol. 60,no. 3, pp. 431–441.

    Google Scholar 

  3. Darrah, P.R., Models of the Rhizosphere. 1. Microbial Population Dynamics around a Root Releasing Soluble and Insoluble Carbon, Plant Soil, 1991, vol. 133, pp. 187–199.

    Google Scholar 

  4. Scott, E.M., Rattray, E.A.A., Prosser, J.I., et al., A Mathematical Model for Dispersal of Bacterial Inoculants Colonizing the Wheat Rhizosphere, Soil Biol. Biochem., 1995, vol. 27, pp. 1307–1318.

    Google Scholar 

  5. Berestetskii, O.A., Shvytov, I.A., and Kravchenko, L.V., Imitational Model of Associative Nitrogen Fixation in the Rhizosphere of Nonleguminous Agricultural Plants, Dokl. Vses. Akad. S.-kh. Nauk im. V.I. Lenina, 1986, no. 7, pp. 6–8.

    Google Scholar 

  6. Nerpin, S.V. and Chudnovskii, A.F., Fizika Pochvy (Soil Physics), Moscow: Nauka, 1967.

    Google Scholar 

  7. Misra, G. and Pavlostathis, S.G., Biodegradation Kinetics of Monoterpenes in Liquid and Soil-Slurry Systems, Appl. Microbiol. Biotechnol., 1997, vol. 47, pp. 572–577.

    Google Scholar 

  8. Foster, R.C. and Bowen, G.D., Plant Surface and Bacterial Growth: the Rhizosphere and Rhizoplane, Phytopathogenic Prokaryotes, Mount, M.S. and Lacy, G.H., Eds., New York: Academic, 1982, vol. 1, pp. 159–185.

    Google Scholar 

  9. Pirt, S.J., Principles of Microbe and Cell Cultivation, Oxford: Blackwell, 1975. Translated under the title Osnovy kul'tivirovaviya mikroorganizmov i kletok, Moscow: Mir, 1978.

    Google Scholar 

  10. Dobereiner, J. and Day, J., Associative Symbioses in Tropical Grasses: Characterization of Microorganisms and Dinitrogen-Fixing Sites, Proc. 1st Int. Symp. On Nitrogen Fixation, vol. 2, Washington: Washington State Univ. Press, 1976, pp. 518–538.

    Google Scholar 

  11. Volpon, A.G.T., De-Polli, H., and Dobereiner, J., Physiology of Nitrogen Fixation in Azospirillum lipoferum Br 17 (ATCC 29709), Arch. Microbiol., 1981, vol. 128, pp. 371–375.

    Google Scholar 

  12. Van der Werf, H. and Verstraete, W., Estimation of Active Soil Microbial Biomass by Mathematical Analysis of Respiration Curves: Calibration of the Test Procedure, Soil Biol. Biochem., 1987, vol. 19, pp. 261–266.

    Google Scholar 

  13. Promyshlennaya mikrobiologiya (Industrial Microbiology), Egorov, N.S., Ed., Moscow: Vysshaya Shkola, 1989.

    Google Scholar 

  14. Grolean-Renaud, V., Plantureux, S., and Guckert, A., Influence of Plant Morphology on Root Exudation of Maize Subjected to Mechanical Impedance in Hydroponics Condition, Plant Soil, 1998, vol. 201, pp. 231–239.

    Google Scholar 

  15. Nai, P.Kh. and Tinker, P.B., Dvizhenie rastvorov v sisteme pochva-rastenie (Solution Fluxes in the Soil-Plant System), Moscow: Kolos, 1980.

    Google Scholar 

  16. Estabrook, E.M. and Yoder, J.I., Plant-Plant Communications: Rhizosphere Signaling between Parasitic Angiosperms and Their Hosts, Plant Physiol., 1998, vol. 116, pp. 1–7.

    Google Scholar 

  17. Bratbak, G. and Dundas, I., Bacterial Dry Matter Content and Biomass Estimation, Appl. Environ. Microbiol., 1984, vol. 48, pp. 755–757.

    Google Scholar 

  18. Orlov, D.S., Khimiya pochv (Chemistry of Soils), Moscow: Mosk. Gos. Univ., 1985.

    Google Scholar 

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Kravchenko, L.V., Strigul', N.S. & Shvytov, I.A. Mathematical Simulation of the Dynamics of Interacting Populations of Rhizosphere Microorganisms. Microbiology 73, 189–195 (2004). https://doi.org/10.1023/B:MICI.0000023988.11064.43

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  • DOI: https://doi.org/10.1023/B:MICI.0000023988.11064.43

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