Skip to main content
SpringerLink
Log in

Quasilocality effect in active media

  • Published:
Bulletin of the Lebedev Physics Institute Aims and scope Submit manuscript

Abstract

In this paper, we consider the problem of living tissue self-regulation as an example of general self-organization phenomena during adaptation and functioning of active hierarchical systems of different nature without common control center. A model of living tissue self-regulation, including two aspects, is developed. The first is the hierarchically organized data self-processing via matter conservation laws in blood flows. The second is the mechanism of the response of individual vessels to a corresponding information part expressed by the activator concentration in blood. It was shown that the necessary property of the self-regulation process, i.e., the locality of the living tissue response to an external stimulus, is mainly a consequence of the hierarchical system of blood vessels and appears at a sufficiently general form of the dependence of the vessel response to the activator concentration.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. C. Guyton and J. E. Hall, Textbook of Medical Physiology, 11th ed. (Elsevier Inc., Philadelphia, 2006).

    Google Scholar 

  2. C.W. Song, A. Lokshina, I. G. Rhee, et al., IEEE Trans. Biom. Eng. BME-31(1), 9 (1984).

    Article  Google Scholar 

  3. R. Mitchell, Nature 230, 257 (1971).

    Article  ADS  Google Scholar 

  4. L. R. Taylor and R. A. Taylor, Nature 265, 415 (1977).

    Article  ADS  Google Scholar 

  5. A Hierarchical Concept of Ecosystems, Ed. by R. V. O’Neill, D. L. de Angelis, J. B. Waide, and T. F. H. Allen (Princeton University Press, Princeton, 1986).

    Google Scholar 

  6. B. D. Fath and B. C. Patten, Ecosystems 2, 167 (1999).

    Article  Google Scholar 

  7. A. Ogus, Oxford Journal of Legal Studies 15, 97 (1995).

    Article  Google Scholar 

  8. P. Utting, Rethinking Business Regulations: From Self-Regulation to Social Control (UNRISD, Geneva, 2005), p. 15.

    Google Scholar 

  9. R. M. May, S. A. Levin, and G. Sugihara, Nature 451, 893 (2008).

    Article  ADS  Google Scholar 

  10. R. Albert and A.-L. Barabási, Rev.Mod. Phys. 74, 47 (2002).

    Article  ADS  Google Scholar 

  11. M. E. J. Newman, SIAM Rev. 45, 167 (2003).

    Article  MATH  MathSciNet  Google Scholar 

  12. S. Boccalettia, V. Latorab, Y. Morenod, et al., Phys. Rep. 424, 175 (2006).

    Article  ADS  MathSciNet  Google Scholar 

  13. I. A. Lubashevskii and V. V. Gaifiichuk, Dokl. Ross. Akad. Nauk 351, 611 (1996).

    Google Scholar 

  14. I. A. Lubashevskii, V. V. Gafiichuk, and Yu. L. Klimontovich, Mat. Model. 9(5), 3 (1997).

    MATH  MathSciNet  Google Scholar 

  15. V. V. Gafiychuk and I. A. Lubashevsky, Mathematical Description of Heat Transfer in Living Tissue (VNTL Publishers, Lviv, 1999).

    MATH  Google Scholar 

  16. I. A. Lubashevsky and V. V. Gafiychuk, SIAMJ. Appl.Math. 60, 633 (2000).

    Article  MATH  MathSciNet  Google Scholar 

  17. W. Lubashevsky, I. Lubashevsky, R. Mahnke, e-print arXiv:0812.0157 [nlin.AO].

Download references

Author information

Authors and Affiliations

  1. Moscow State Institute of Radio Engineering, Electronics, and Automation, pr. Vernadskogo 78, Moscow, 119454, Russia

    V. I. Lubashevskii

  2. Prokhorov General Physics Institute, Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russia

    V. I. Lubashevskii

Authors
  1. V. I. Lubashevskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © V.I. Lubashevskii, 2009, published in Kratkie Soobshcheniya po Fizike, 2009, Vol. 36, No. 8, pp. 3–12.

About this article

Cite this article

Lubashevskii, V.I. Quasilocality effect in active media. Bull. Lebedev Phys. Inst. 36, 219–224 (2009). https://doi.org/10.3103/S1068335609080016

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068335609080016

Keywords

Search

Navigation