Geodesic
Mathematical model of the immune response
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 4 (2015), pp. 72-87

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A multilevel mathematical model of key mechanisms of the immune response is described. Original ideas are introduced, allowing to model complex immune processes on cellular, molecular and genetic scales by simple PDE models. The model gives a consolidated view of proliferation and differentiation processes in nonhomogenous Th, Tc and B-lymphocytes populations. The dynamics of IFN$\gamma$, IL-2, IL-4, IL-17, IL-21, IL-23 cytokines synthesis is accurately modelled. The differentiation of Th lymphocytes into Th1, Th2 and Th17 subpopulations and B cells antibodies isotype switching from IgM to a more effective IgG class described. Refs 29. Figs 3.
Keywords: mathematical model, immunology's systems, cytokines, interleukins, Th1, Th2, Th17, IgG.
Mots-clés : immune response, T-lymphocytes, B-lymphocytes, IgM 
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     title = {Mathematical model of the immune response},
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S. R. Kuznetsov. Mathematical model of the immune response. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 4 (2015), pp. 72-87. http://geodesic.mathdoc.fr/item/VSPUI_2015_4_a5/