Skip to main content

Further Development of the Mathematical Model of Immunological Tolerance

  • Conference paper
Book cover Immunology and Epidemiology

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 65))

  • 168 Accesses

Abstract

Our mathematical model of immunological tolerance to human serum albumin (HSA) in chickens [1, 2] was formulated on experimental evidence suggesting that the major mechanism underlying the inhibition of anti-HSA antibody production in tolerant chickens was Β cell tolerance [3, 4]. The relevant experiments were carried out in chickens of homogeneous inbred lines and that made possible lymphoid cell transfers among the syngeneic experimental birds. The existence of suppressor cells induced in tolerant chickens was not proved by these cell transfers. This finding suggested a direct inhibition of immunocompetent cells (ICC) by the tolerizing administration of antigen. The inhibition was apparently irreversible, as escape from tolerance was not observed in the spleen cells of tolerant birds transferred to non-reactive recipients. In contrast to the situation in mammals tolerant to xenogeneic serum proteins, neonatal thymectomy did not detectably influence tolerance to HSA in chickens. On the other side, neonatal bursectomy increased and prolonged substantially the tolerance in chickens. From these and other findings we concluded that Τ cells do not play any substantial role in this tolerant state and that the major mechanism operating there is clonal deletion or irreversible inactiva-tion of Β lymphocytes.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Klein, P., Doležal, J., Hraba, T.: Compartmental model of immunological tolerance to HSA in chickens. Folia biol. (Prague) 25: 345, 1979.

    Google Scholar 

  2. Klein, P., Doležal, J., Hraba, T.: Compartmental models of immunological tolerance. Kybernetika 19: 285, 1980.

    Google Scholar 

  3. Hraba, T., Karakoz, I., Madar, J.: Mechanisms of immunological tolerance to a xenogeneic serum protein in chickens. In: “Cellular and Molecular Mechanisms of Immunologic Tolerance” (Eds. T. Hraba and M. Hasek), Marcel Dekker, Inc., New York 1981, pp. 361–366.

    Google Scholar 

  4. Hraba, T., Karakoz, I., Madar, J.: Immunological unresponsiveness to HSA in chickens. Ann. N.Y. Acad. Sci. 392: 47, 1982.

    Article  Google Scholar 

  5. Klein, P., Hraba, T., Doležal, J.: The use of immunological tolerance to investigate Β cell replacement kinetics in chickens. J. Math. Biology 16: 131, 1983.

    Article  Google Scholar 

  6. Hraba, T., Klein, P., Doležal, J.: A simple mathematical model of immunological tolerance in chickens. In: “Mathematical Modelling in Immunology and Medicine” (Eds. G.I. Marchuk and L.N. Belykh), North-Holland Publishing Co., Amsterdam 1983, pp. 23–29.

    Google Scholar 

  7. Klein, P., Hraba, T., Doležal, J.: Mathematical model of Β lymphocyte replacement kinetics: its application to the recovery from tolerance in adult mice. Math.Biosci. 73: 228, 1985.

    Article  Google Scholar 

  8. Doležal, J., Hraba, T.: Τ helper cell inclusion into the mathematical model of immunological tolerance. Folia biol. (Prague) 30: 426, 1984.

    Google Scholar 

  9. Scott, D.W.: Mechnisms in immune tolerance. CRC Crit. Rev. Immunol. 5: 1, 1984.

    Google Scholar 

  10. Hraba, T., Madar, J., Karakoz, I.: Antibody-producing cells in chickens tolerant to human serum albumin. Folia biol. (Prague) 30: 281, 1984.

    Google Scholar 

  11. Tada, T., Takemori, T., Okumura, K., Nonaka, M., Tokuhisa, T.: Two distinct types of helper Τ cells involved in the secondary antibody response. J. Exp. Med. 147: 446, 1978.

    Article  Google Scholar 

  12. Hašek, M., Hraba, T.: Active mechanisms of immunological tolerance. Survey Immunol. Res. 3: 253, 1984.

    Google Scholar 

  13. Malkovský, M., Medawar, P.B.: Is immunological tolerance (non-responsiveness) a consequence of interleukin 2 deficit during the recognition of antigen? Immunology Today 5: 340, 1984.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hraba, T., Doležal, J. (1986). Further Development of the Mathematical Model of Immunological Tolerance. In: Hoffmann, G.W., Hraba, T. (eds) Immunology and Epidemiology. Lecture Notes in Biomathematics, vol 65. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51691-7_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-51691-7_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16431-9

  • Online ISBN: 978-3-642-51691-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics