Skip to main content
Log in

A model of the development of stable competing relations in the self-organization of biosystems

  • Complex Systems Biophysics
  • Published:
Biophysics Aims and scope Submit manuscript

Abstract

A model is proposed that allows one to reveal specific features of the biosystem dynamics based on competitive processes of binary interaction. The model assumes a two-level hierarchy of system organization. Objects at the lower level of a system being investigated interact in a random way. The upper level determines the modulation of the development of a random process at the lower level. The application of the results of modeling to processes such as oxygen transport by proteins, adaptation of living organisms to changing environmental conditions, muscle contraction, and adaptability to stresses is discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. R. Ivanitsky, V. I. Krinsky, and E. E. Sel’kov, Mathematical Biophysics of the Cell (Nauka, Moscow, 1978) [in Russian].

    Google Scholar 

  2. G. N. Borisyuk et al., Usp. Fiz. Nauk 172, 1189 (2002).

    Article  Google Scholar 

  3. G. D. I. Abarbanbel’ et al., Usp. Fiz. Nauk 166, 363 (1996).

    Article  Google Scholar 

  4. A. K. Sturm and P. Konig, Biol. Cybern. 84, 153 (2001).

    Article  MATH  Google Scholar 

  5. A. L. Hodgkin and A. F. Huxley, J. Physiol. (London) 117, 500 (1952).

    Google Scholar 

  6. Methods in Neuronal Modeling: from Ions to Networks, 2nd ed., Ed. by C. Koch and I. Segev (MIT Press, Cambridge, Mass., 1998).

    Google Scholar 

  7. J. L. Hindmarsh and R. M. Rose, Proc. R. Soc. London Ser. B 221, 87 (1984).

    Article  ADS  Google Scholar 

  8. C. Morris and H. Lecar, Biophys. J. 35, 193 (1981).

    Article  ADS  Google Scholar 

  9. H. R. Wilson and J. D. Cowan, Biophys J. 12, 1 (1972).

    Article  ADS  Google Scholar 

  10. G. R. Ivanitsky, A. B. Medvinsky and M. A. Tsyganov, Usp. Fiz. Nauk 164, 1041 (1994).

    Article  Google Scholar 

  11. W. Horsthemke and R. Lefevre, Noise-Induced Transitions (Mir, Moscow, 1987).

    Google Scholar 

  12. H. G. Schuster, Determinated Chaos (Nauka, Moscow, 1988).

    Google Scholar 

  13. G. R. Ivanitsky and A. A. Deev, Biofizika 52, 953 (2007).

    Google Scholar 

  14. G. R. Ivanitsky et al., Biofizika 30, 418 (1986).

    Google Scholar 

  15. G. R. Ivanitsky et al., Usp. Fiz. Nauk 168, 1221 (1998).

    Article  Google Scholar 

  16. V. N. Pokrovskii, Usp. Fiz. Nauk 164, 397 (1994).

    Article  Google Scholar 

  17. J. A. McCammon, B. R. Gelm, and M. Karplus, Nature (London) 267, 585 (1977).

    Article  ADS  Google Scholar 

  18. J. A. McCammon, B. R. Gelin, and M. Karplus, Amer. ISA, (4) 4 (1986).

  19. D. Ringe and G. A. Petsko, Prog. Biophys. & Mol. Biol. 45, 197 (1985).

    Article  Google Scholar 

  20. D. R. Astumian, Science 276, 917 (1997).

    Article  Google Scholar 

  21. W. L. Goldberger, D. R. Rigny, and B. J. West, V Mire Nauki, no. 4, 25 (1990).

  22. A. N. Parkhomenko, Kardiologiya, no. 4, 44 (1996).

  23. L. M. Nepomnyashchikh, Pathological Anatomy and Ultrastructure of the Heart (Nauka, Moscow, 1981) [in Russian].

    Google Scholar 

  24. U. U. Parmli, in Myocardial Infarction (Meditsina, Moscow, 1977), pp. 50–56 [in Russian].

    Google Scholar 

  25. Biological Rhythms, Ed. by J. Ashoff (Mir, Moscow, 1984).

    Google Scholar 

  26. G. R. Ivanitsky, The World in the Eyes of a Biophysicist (Pedagogika, Moscow, 1985) [in Russian].

    Google Scholar 

  27. K. Pittendrich, in Biological Rhythms, Ed. by J. Ashoff (Mir, Moscow, 1984), Vol. 1, pp. 22–53.

    Google Scholar 

  28. E. Bünning, Quantitative Biology 25, 1 (1960).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. R. Ivanitsky.

Additional information

Original Russian Text © G.R. Ivanitsky, A.A. Deev, 2009, published in Biofizika, 2009, Vol. 54, No. 3, pp. 545–553.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ivanitsky, G.R., Deev, A.A. A model of the development of stable competing relations in the self-organization of biosystems. BIOPHYSICS 54, 381–388 (2009). https://doi.org/10.1134/S0006350909030233

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0006350909030233

Key words

Navigation