Modern immunological and molecular genetic studies showed that tuberculosis is accompanied by an imbalance in the production of immunoregulatory cytokines by mononuclear leukocytes. T allele and homozygous TT genotype of T-330G polymorphism in the IL2 gene, T allele and TT genotype of C-590T polymorphism in the IL4 gene, and CC genotype of A-1188C polymorphism in the IL12B gene are immunogenetic factors that have protective activity against susceptibility to pulmonary tuberculosis. Susceptibility to tuberculous infection is associated with A1A2 genotype of the polymorphic region +3953 A1/A2 in the IL1B gene; G allele and TG and GG genotypes of T-330G polymorphism in the IL2 gene; C allele and CC and CT genotypes of C-590T polymorphism in the IL4 gene; and AC genotype of the polymorphic region A-1188C in the IL12 gene.

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The article presents the data on the structure and mechanisms of β-сatenin functioning. The basic aspects of the role of β-сatenin in malignant transformation have been studied at various tumors. Primary structure of β-catenin allows it to interact with many factors and ligands, including transcription factors, α-catenin, cadherin, Axin, Rho family GTPases, Bcl9 et al. This interaction is the base for β-catenin's intracellular multifunctioning. The review presents data on the participation of β-catenin in the mechanisms of adhesion, regulation of RNA metabolism, formation contacts with the cytoskeleton and its role in the canonical Wnt signaling pathway, marked examples pro-inflammatory and anti-inflammatory effects of β-catenin. The β-catenin involvement in malignant transformation and progression of certain tumors is not in doubt. The data on the changes in β-catenin expression in the given examples of colon cancer, prostate cancer, different forms of thyroid cancer and hepatocellular carcinoma are presented with the prospects of its use as a marker and a predictor of malignant transformation. Continued research in this area will not only make use of β-catenin as a potential predictor of malignant tumors, but also to develop approaches to targeted therapy.

We studied the effect of galectin-1 on apoptosis of CD4(+) lymphocytes intact and in vitro differentiated towards regulatory T cells. An increase in the content of apoptotic CD4(+) lymphocytes was observed after exposure of intact cells with 15 ng/ml galectin-1 and after exposure of regulatory T cells with 10 and 15 ng/ml galectin-1. Apoptosis of regulatory T cells induced by galectin-1 was accompanied by an increase in the content of proapoptotic protein Bad.

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The Cauchy problem of the Godunov - Sultangazin system of equations with periodic initial conditions is considered in the article. The Godunov - Sultangazin system of equations is a model problem of the kinetic theory of gases. It is a discrete kinetic model of one-dimensional gas consisting of identical monatomic molecules. The molecules can have one of three speeds. So, there are three groups of molecules. The molecules of the first two groups have the speeds equal in values and opposite in directions. The molecules of the third group have zero speed. The considered mathematical model has a number of properties of Boltzmann equation. This system of the equations is a quasi-linear system of partial differential equations. There is no analytic solution for this problem in the general case. So, numerical investigation of the Cauchy problem of the Godunov - Sultangazin system is very important. The finite-difference method of the first order is used for numerical investigation of the Cauchy problem of the Godunov - Sultangazin system of equations. The paper presents and discusses the results of numerical investigation of the Cauchy problem for the studied system solution with periodic initial condition. The dependence of the time of stabilization of the Cauchy problem solution of Godunov - Sultangazin system of equations from the decreasing parameter of system are obtained. The paper presents the dependence of time of energy exchange from the decreasing parameter. The solution stabilization to the equilibrium state is obtained. The stabilization time of Godunov - Sultangazin system solution is compared to the stabilization time of Carleman system solution in periodic case. The results of numerical investigation are in good agreement with the theoretical results obtained previously.

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