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Modeling of Autoimmune Processes

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Environmental Radiation Effects on Mammals

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Abstract

Chapter 5 is devoted to the development and thorough study of the biologically motivated mathematical models of autoimmune processes in mammals exposed to chronic and acute irradiation. They are the systems of three and two nonlinear differential equations, respectively. Both the models are investigated numerically and by the methods of the quantitative theory of differential equations and bifurcation theory. The models reproduce the well-known fact that radiation-induced autoimmunity is directed against the tissues most susceptible to radiation. Depending on the value of the dose and dose rate, the models describe different dynamical regimes that are observed in experiments: total restoration of target-tissue after low dose acute irradiation, slight damages of target-tissue under low dose rate chronic irradiation, cyclic autoimmune processes at moderate doses and dose rates, and irreversible destruction of all target-tissue cells under high-level exposures. A simple formula for calculating dangerous dose rates of chronic irradiation is obtained. The effectiveness of the thymus shielding for the prevention of autoimmune diseases is predicted.

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Authors and Affiliations

  1. Research and Technical Center of Radiation-Chemical Safety and Hygiene, Moscow, Russian Federation

    Olga A. Smirnova

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  1. Olga A. Smirnova
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Smirnova, O.A. (2017). Modeling of Autoimmune Processes. In: Environmental Radiation Effects on Mammals. Springer, Cham. https://doi.org/10.1007/978-3-319-45761-1_5

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