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Cyclic kinetics and mathematical expression of the primary immune response to soluble antigen

II. The mathematical expression of some elements of the primary immune response

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Abstract

The injected dose of antigen determines not only the duration of its persistence in the injection site but also the intensity of plasma cell response in the regional lymph node. It was found that the logarithmic sum of antigen quantity in the injection site was related to the sum of cell response values, the correlation coefficient approaching 1. The antigen-lymphoid system interrelations appear to obey Weber-Fechner’s law for afferent systems of the organism. The sum of plasma cells appeared to be in direct connection with the logarithm of the dose injected, with antigen persistence in the injection site and also with the tangent of the acute angle adjoining the ordinate. The basic components of the primary immune response of the organism to soluble antigen,viz. logarithm of the dose injected, antigen persistence in the injection place, plasma cell quantity, tangent of the acute angle, transition modulus from antigen to plasma cells, are interconnected by rather simple equations, which represent the structural elements of the mathematical model described in the text.

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References

  • Akatov A. K.: Experimental study of the “dose-effect” relationship in immunization with staphylococca toxoid. (In Russian)Zhur. Microbiol. 2, 10 (1967)

    Google Scholar 

  • Basova N. N., Gerasyuk L. G.: The study of inhibitory effect of fraction I ofPasteurella pestis on the immunization of guinea pigs. (In Russian)Zhur. Microbiol. 11, 24 (1965).

    Google Scholar 

  • Durikhin K. V., Levi M. I.: The physiological foundations of plasma cell reaction. (In Russian)Zhur. Microbiol. 5, 112 (1971).

    Google Scholar 

  • Coros A. M. C., Mazur J. M., Mowery M. J.: Radioautographic studies of plague-forming cells. I. Antigen-stimulated proliferation of plague-forming cells.J. Exp. Med. 128, 235 (1968).

    Article  Google Scholar 

  • Levi M. I., Durikhin K. V., Basova N. N.: Cyclic kinetics and mathematical expression of the primary immune response to soluble antigen. I. Cyclic kinetics of immunogenesis.Folia Microbiol. 18, 000 (1973).

    Google Scholar 

  • Markovich A. V., Vorob’ev A. A.: The immunity tension of albino mice in connection with immunized dose of tetanus toxoid. (In Russian)Dokl. Acad. Nauk SSSR 87, 665 (1952).

    CAS  Google Scholar 

  • Stevens K. M.: Some considerations of the antigen dose-antibody response relationship.J. Immunol. 76, 187 (1956).

    PubMed  CAS  Google Scholar 

  • Vorob’ev A. A., Vasil’ev N. N., Kravchenko A. T.: The Toxoids. “Medicina”, Moscow, 1965.

    Google Scholar 

  • Walker R. V.: Studies on the immune response of guinea pigs to the envelope substance ofPasteurella pestis. III. Immuno-unresponsiveness to high concentrations of fraction I in oil.J. Immunol. 88, 174 (1962).

    PubMed  CAS  Google Scholar 

  • Vlasova E. V., Shemanova G. Ph., Borisova O. K.: The “dose-effect” relationship in immunization of mice with oedomatiens toxoid. (In Russian)Bull. Exp. Biol. Med. 12, 81 (1968).

    Google Scholar 

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Authors and Affiliations

  1. Central Control Research Laboratory of the Municipal Disinfection Station, Moscow, U.S.S.R.

    M. I. Levi, K. V. Durikhin, N. N. Basova, G. A. Fomenko & F. E. Kravtsov

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  1. M. I. Levi
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  2. K. V. Durikhin
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  3. N. N. Basova
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  4. G. A. Fomenko
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  5. F. E. Kravtsov
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Levi, M.I., Durikhin, K.V., Basova, N.N. et al. Cyclic kinetics and mathematical expression of the primary immune response to soluble antigen. Folia Microbiol 18, 237–241 (1973). https://doi.org/10.1007/BF02872862

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  • DOI: https://doi.org/10.1007/BF02872862

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