Skip to main content
Log in

Abstract.

Recently we have used a cellular automata model which describes the dynamics of a multi-connected network to reproduce the refractory behavior and aging effects obtained in immunization experiments performed with mice when subjected to multiple perturbations. In this paper we investigate the similarities between the aging dynamics observed in this multi-connected network and the one observed in glassy systems, by using the usual tools applied to analyze the latter. An interesting feature we show here, is that the model reproduces the biological aspects observed in the experiments during the long transient time it takes to reach the stationary state. Depending on the initial conditions, and without any perturbation, the system may reach one of a family of long-period attractors. The perturbations may drive the system from its natural attractor to other attractors of the same family. We discuss the different roles played by the small random perturbations ("noise") and by the large periodic perturbations ("immunizations").

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. C.A. Janeway, M.W. Travers, J. Capra, Imunobiology: The Immune System in Health and Disease, 4th edn. (Elsevier Science Ltda. Garland Publishing, New York, 2000)

  2. N.M. Vaz, A.M.C. de Faria, Guia Completo de Imunobiologia (Coopmed Editora, Belo Horizonte, Brazil, 1993)

  3. N.K. Jerne, Ann. Immuno. (Inst. Pasteur) C 125, 373 (1974)

    Google Scholar 

  4. D. Holmberg, ÅAnderson, L. Carlsson, S. Forsgren, Immunol. Rev. 110, 84 (1989)

    Google Scholar 

  5. A. Coutinho, Immunol. Rev. 110, 63 (1989)

    Google Scholar 

  6. R.M. Zorzenon dos Santos, A.T. Bernardes. Physica A 219, 1 (1995)

    Google Scholar 

  7. A.T. Bernardes, R.M. Zorzenon dos Santos, J. Theor. Biol. 186 173 (1997)

  8. R.M. Zorzenon dos Santos, in Ann. Rev. Comput. Phys. VI, 159, edited by D. Stauffer (World Scientific, 1999)

  9. R.M. Zorzenon dos Santos, A.T. Bernardes, Phys. Rev. Lett. 81, 3034 (1998)

    Article  Google Scholar 

  10. B. Verdolin, MSc. Thesis, Departamento de Bioquímica e Imunologia, Instituto de Ciências Biológicas, UFMG, Belo Horizonte (1997)

  11. A.M.C. Faria , Mech. Ageing Dev. 102, 67 (1998)

    Article  Google Scholar 

  12. W.M. Lahmann, J.S. Menezes, B.A. Verdolin, N.M. Vaz, Braz. J. Med. Biol. Res. 25, 813 (1992)

    Google Scholar 

  13. A.T. Bernardes, R.M. Zorzenon dos Santos, Int. J. Mod. Phys. C 12, 1 (2001)

    Article  MATH  Google Scholar 

  14. L.C.E. Struick, Physical aging in amorphous polymers and other materials (Elsevier, Houston, 1976)

  15. J.-P. Bouchaud, L.F. Cugliandolo, J. Kurchan, M. Mézard, in Spin Glasses and Random Fields, edited by A.P. Young (World Scientific, Singapore, 1998)

  16. D. Stauffer, G. Weisbuch, Physica A 180, 42 (1992)

    Article  Google Scholar 

  17. R.J. De Boer, L.A. Segel, A.S. Perelson, J. Theor. Biol. 155, 295 (1992)

    Google Scholar 

  18. A.S. Perelson, G.F. Oster, J. Theor. Biol. 81, 645 (1979)

    MathSciNet  Google Scholar 

  19. R.M. Zorzenon dos Santos, Physica A 196, 12 (1993)

    MATH  Google Scholar 

  20. P.G. Debenedetti, F.H. Stillinger, Nature 410, 259 (2001)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Copelli.

Additional information

Received: 7 May 2003, Published online: 23 July 2003

PACS:

87.18.Hf Spatiotemporal pattern formation in cellular populations - 87.10.+e General theory and mathematical aspects - 61.43.Fs Glasses

D.A. Stariolo: Research Associate of the Abdus Salam International Center for Theoretical Physics, Strada Costiera 11, Trieste, Italy

Rights and permissions

Reprints and permissions

About this article

Cite this article

Copelli, M., Zorzenon dos Santos, R.M. & Stariolo, D.A. On the aging dynamics in an immune network model. Eur. Phys. J. B 34, 119–129 (2003). https://doi.org/10.1140/epjb/e2003-00203-7

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2003-00203-7

Keywords

Navigation