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Modeling of Autoimmune Processes

  • Olga A. Smirnova
Chapter

Abstract

Radiation exposures can cause the development of autoimmune processes in mammals. In the course of these processes, the organism’s own organs and tissues are damaged [1, 2]. Clinical observations show that autoimmunization plays an important role in the pathogenesis of acute radiation sickness arising after acute exposure to sublethal and lethal doses. Autoimmune reactions are one of the possible consequences of chronic exposure to low doses of radiation. Sometimes autoimmune reactions may also develop in unexposed mammals [3–5].

Keywords

Arthritis Anemia Macromolecule Microbe Staphylococcus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Shubik V.M. Immunological Studies in Radiation Hygiene. Moscow: Energoatomizdat, 1987 (Russian).Google Scholar
  2. 2.
    Klemparskaya N.N. Autoantibodies of an Organism Exposed to Radiation. Moscow: Atomizdat, 1972 (Russian).Google Scholar
  3. 3.
    Andras P. (Ed.). Autoimmunity: Methods and Protocols. Totowa, NJ: Humana Press, 2004.Google Scholar
  4. 4.
    Elgert K.D. Immunology: Understanding the Immune System, 2nd ed. Hoboken, NJ: Wiley-Blackwell, 2009.Google Scholar
  5. 5.
    Coico R., Sunshine G. Immunology: A Short Course, 6th ed. Hoboken, NJ: Wiley-Blackwell, 2009.Google Scholar
  6. 6.
    Al’perin L.B., Isavina I.A. Mathematical model of immune response auto-regulation. The Natural Sciences at the Service of Public Health, Novosibirsk: USSR Acad. Med. Sci., Siberian Div., p. 66, 1980 (Russian).Google Scholar
  7. 7.
    Waniewski J., Priklova D. Mathematical modeling of autoimmune decease and its treatment. Abstracts of Reports presented at the International Working Conference on Mathematical Modeling in Immunology and Medicine (Kiev, August-September 1989). Kiev: Glushkov Cybernetics Institute, p. 17, 1989 (Russian).Google Scholar
  8. 8.
    Waniewski J., Priklova D. Autoimmunity and its therapy: Mathematical modelling. Immunology Letters, v. 18, pp. 77–80, 1988.CrossRefGoogle Scholar
  9. 9.
    Bar-Or R.L, Segel L.A. On the role of a possible dialogue between cytokine and TCR-presentation mechanisms in the regulation of autoimmune disease. Journal of Theoretical Biology, v. 190(2), pp. 161–178, 1998.Google Scholar
  10. 10.
    Sulzer B., Van Hemmen J.L. Adaptive control: A strategy to treat autoimmunity. Journal of Theoretical Biology, v. 196(1), pp. 73–79, 1999.CrossRefGoogle Scholar
  11. 11.
    Uziel A., Schwartz M., Neumann A. Modeling protective autoimmunity following central nervous system (CNS) trauma. Mathematical modeling and computing in biology and medicine. 5th Conference of the European Society of the Mathematical and Theoretical Biology (July 2-6, 2002, Milan, Italy). Book of Abstracts. Milan: Politecnico Di Milano, p. 210, 2002.Google Scholar
  12. 12.
    Nevo U., Golding I., Neumann A.U., Schwartz M., Akselrod S. Autoimmunity as an immune defense against degenerative processes: A primary mathematical model illustrating the bright side of autoimmunity. Journal of Theoretical Biology, v. 227(4), pp. 583–592, 2004.CrossRefGoogle Scholar
  13. 13.
    Wang X., He Z., Ghosh S. Investigation of the age-at-onset heterogeneity in type 1 diabetes through mathematical modeling. Mathematical Biosciences, v. 203(1), pp. 79–99, 2006.MATHCrossRefMathSciNetGoogle Scholar
  14. 14.
    Kim P.S., Lee P.P., Levy D. Modeling regulation mechanisms in the immune system. Journal of Theoretical Biology, v. 246(1), pp. 33–69, 2007.CrossRefMathSciNetGoogle Scholar
  15. 15.
    Iwami S., Takeuchi Y., Miura Y., Sasaki T., Kajiwara T. Dynamical properties of autoimmune disease models: Tolerance, flare-up, dormancy. Journal of Theoretical Biology, v. 246(4), pp. 646–659, 2007.CrossRefMathSciNetGoogle Scholar
  16. 16.
    Iwami S., Takeuchi Y., Iwamoto K., Naruo Y., Yasukawa M. A mathematical design of vector vaccine against autoimmune disease. Journal of Theoretical Biology, v. 256(3), pp. 382–392, 2009.CrossRefGoogle Scholar
  17. 17.
    Radulescu A. A multi-etiology model of systemic degeneration in schizophrenia. Journal of Theoretical Biology, v. 259(2), pp. 269–279, 2009.CrossRefMathSciNetGoogle Scholar
  18. 18.
    Vodovotz Y., Constantine G., Rubin J., Csete M., Voit E.O., An G. Mechanistic simulations of inflammation: Current state and future prospects. Mathematical Biosciences, v. 217(1), pp. 1–10, 2009.MATHCrossRefMathSciNetGoogle Scholar
  19. 19.
    Smirnova O.A., Stepanova N.V. Mathematical model of autoimmunity. Biofizika, v. 20, pp. 1095–1998, 1975 (Russian).Google Scholar
  20. 20.
    Smirnova O.A. Mathematical modeling of autoimmunity dynamics under continuous irradiation. In: Modeling of Population Dynamics. Gorky: Gorky University Press, pp. 47–54, 1988 (Russian).Google Scholar
  21. 21.
    Smirnova O.A. Mathematical model for postirradiation autoimmunity. Radiobiologiya, v. 28(3), pp. 331–335, 1988 (Russian).Google Scholar
  22. 22.
    Smirnova O.A. Mathematical modeling of the effect of ionizing radiation on the immune system of mammals. Physics of Particles and Nuclei. American Institute of Physics, v. 27(1), pp. 100–120, 1996.MathSciNetADSGoogle Scholar
  23. 23.
    Smirnova O.A. Autoimmunity dynamics in irradiated mammals: Mathematical modeling. BioMedSim’99. 1st Conference on Modelling and Simulation in Biology, Medicine and Biomedical Engineering, Noisy-le-Grand, France, April 20–22, 1999. Proceedings. Paris: Groupe ESIEE, pp. 110–113, 1999.Google Scholar
  24. 24.
    Smirnova O.A. Mathematical modeling of radiation-induced autoimmunity. In: Mathematical Modelling and Computing in Biology and Medicine. 5th ECMTB Conference 2002. V. Capasso (Ed.). Milan: Milan Research Centre for Industrial and Applied Mathematics, pp. 392–402, 2003.Google Scholar
  25. 25.
    Smirnova O.A. Radiation and Organism of Mammals: Modeling Approach. Moscow-Izhevsk: Scientific-Publishing Centre “Regular and Chaotic Dynamics,” Institute of Computer Science, 2006 (Russian).Google Scholar
  26. 26.
    Petrov R.V. Immunology. Moscow: Meditsina, 1987 (Russian).Google Scholar
  27. 27.
    Tomer Y., Shoenfeld Y. The significance of natural autoantibodies. Immunological Investigations, v. 17, pp. 389–424, 1988.CrossRefGoogle Scholar
  28. 28.
    Pol U. (Ed.). Immunology. Moscow: Mir, 3 vol., 1987-1988 (Russian).Google Scholar
  29. 29.
    Misher P., Forlender K.O. (Eds.). Immunopathology in Clinical Practice and Experiment and the Problem of Autoimmunity (Russian translation from German original). Moscow: Medgiz, 1963.Google Scholar
  30. 30.
    Adams D.D. Three theories which explain the occurrence and inheritance of the autoimmune diseases. Journal of Clinical and Laboratory Immunology, v. 36, pp. 1–14, 1991.Google Scholar
  31. 31.
    Mackay I.R. Autoimmunity: Paradigms of Burnet and complexities of today. Immunology and Cell Biology, v. 70, pp. 159–171, 1992.CrossRefGoogle Scholar
  32. 32.
    Silverstein A.M., Rose N.R. On the mystique of the immunological self. Immunological Reviews, v. 159, p. 197–206; discussion pp. 207–218, 1997.Google Scholar
  33. 33.
    Burnet F.M. Cellular Immunology. Cambridge: Cambridge University Press, 1970.Google Scholar
  34. 34.
    Nossal G.J.V. Antibodies and Immunity (Russian translation from English original), Moscow: Meditsina, 1973 (Russian).Google Scholar
  35. 35.
    Lyampert I.M. Autoimmunity. Uspehi Sovremennoi Biologii, v. 75, pp. 183–202, 1973 (Russian).Google Scholar
  36. 36.
    Lyampert I.M. Autoimmunity. Uspehi Sovremennoi Biologii, v. 81, pp. 274–290, 1976 (Russian).Google Scholar
  37. 37.
    Kemileva Z. The Thymus. Moscow: Meditsina, 1984 (Russian).Google Scholar
  38. 38.
    Trufakin V.A. Immuno-morphological aspects of autoimmune processes. Novosibirsk: Nauka, 1983 (Russian).Google Scholar
  39. 39.
    Romanovsky J.M., Stepanova N.V., Chernavsky D.S. Mathematical Modeling in Biophysics. Introduction to Theoretical Biophysics. Moscow-Izhevsk: Scientific-Publishing Centre “Regular and Chaotic Dynamics,” Institute of Computer Science, 2004 (Russian).Google Scholar
  40. 40.
    Romanovsky J.M., Stepanova N.V., Chernavsky D.S. Mathematical Biophysics. Moscow: Nauka, 1984 (Russian).Google Scholar
  41. 41.
    Romanovsky J.M., Stepanova N.V., Chernavsky D.S. Kinetische Modelle in der Biophysik. Stuttgart: Gustav Fischer Verlag, 1974.Google Scholar
  42. 42.
    Pontryagin L.S. Ordinary Differential Equations. Moscow: Nauka, 1982 (Russian).MATHGoogle Scholar
  43. 43.
    Andronov A.A., Vitt A.A., Khikin S.E. Theory of Oscillation. Moscow: Nauka, 1981 (Russian).Google Scholar
  44. 44.
    Andronov A.A., Leontovich E.A., Gordon I.I., Maier A.G. Theory of Bifurcations of Dynamical Systems on Plane. Moscow: Nauka, 1967 (Russian).Google Scholar
  45. 45.
    Hayashi C. Nonlinear Oscillations in Physical Systems. New York: McGraw-Hill Book Company, 1964.MATHGoogle Scholar
  46. 46.
    Arrowsmith D.K., Place C.M. Ordinary Differential Equations. A Qualitative Approach with Applications. London: Chapman and Hall, 1982.MATHGoogle Scholar
  47. 47.
    Dulac H. Sur les cycles limités. Bulletin de la Société Mathématique de France, v. 51, pp. 45–188, 1923.MATHMathSciNetGoogle Scholar
  48. 48.
    Korn G.A., Korn T.M. Mathematical Handbook. New York: McGraw-Hill Book Company, 1968.Google Scholar
  49. 49.
    Lea D.E. Action of Radiation on Living Cells, 2nd ed. Cambridge: The Syndics of the Cambridge University Press, 1955.Google Scholar

Copyright information

© Springer New York 2010

Authors and Affiliations

  1. 1.Research and Technical Center of Radiation-Chemical Safety and HygieneMoscowRussian Federation

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