DOI
10.34229/KCA2522-9664.24.6.9
UDC 517.9
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2 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
 knopov1@yahoo.com
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MATHEMATICAL MODELING OF THE T-IMMUNE RESPONSE IN COVID-19
Abstract. A mathematical model has been developed to study the impact of the state of collective immunity on the dynamics of the COVID-19 pandemic. The model accounts for different components of the immune system and allows for the investigation of mechanisms that lead to metastable chaos during the immune response. The relationship between cellular energy states and the dynamics of the immune response has been studied. The problem of optimal control of the immune response is considered, with the aim of minimizing the risk of pathological disorders associated with excessive inflammation due to cytokine release syndrome in the body during COVID-19. It has been shown how changes in different components of the immune system affect the duration of the disease. The dependence of the total number of virus-infected cells on the changes in the balance of energy synthesis and expenditure in cells has been determined.
Keywords: mathematical modeling, T-immune response model, COVID-19, optimal control, deterministic chaos.
full text
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