Modeling the Influence of Small-Scale Diffusion Perturbations on the Development of Infectious Diseases under Immunotherapy

The article proposes a modification of the mathematical model of the immunotherapy influence on the immune response dynamics taking into account small-scale diffusion perturbations. The solution of the corresponding singularly perturbed model problem with time-delay is reduced to a sequence of solutions without time-delay, for that representations of the required functions in the form of asymptotic series as disturbances of solutions of the corresponding degenerate problems are constructed. We present the results of numerical modeling that illustrate the influence of diffusion redistribution of active factors on the infectious disease dynamics in the conditions of immunotherapy. The decrease in the level of the maximum concentration of antigens in the locus of infection as a result of their diffusion redistribution is illustrated.

MODELING SMALL-SCALE SPATIAL DISTRIBUTED INFLUENCES ON THE DYNAMICS OF INFECTIOUS DISEASE ON CONDITION OF PHARMACOTHERAPY

This paper proposes modification of the simplest model of the infectious disease in the conditions of pharmacotherapy taking into account influence of small-scale spatial distributed diffusion influences. The singular disturbed model problem with time-delay is reduced to a sequence of problems without time-delay for which the corresponding representations of the asymptotic expansions of solutions are constructed. We present the results of numerical experiments that characterize the influence of spatial distributed diffusion «redistributions» of infectious disease factors on the development of the process on condition of pharmacotherapy. The decrease in the maximum level of concentration of pathogenic antigens in the locus of infection due to their diffusion «redistribution» is illustrated.

Effect of the High-Heating on the Chemical and Phase Composition of the Al-Ni-Cr Layered Coatings

The transformation of the structure, phase and chemical composition of the diffusion coatings of the system Al-Ni and Al-Cr-Ni at 1100 °C is studied. It is shown that the diffusion redistribution of Al by the coating thickness during the heat treatment is slower in the system Al-Cr-Ni than in the binary system Al-Ni.

Features of the Fine Structure of the Active Layers of Organic Solar Cells

The article is devoted to investigation of fine structure of the active layers of organic solar cells. By using atomic forth microscopy (AFM) and transmission electron microscopy (TEM) it is clearly shown that thermal treatment of active layers at 150 °C for 10 minutes leads to increasing their crystallinity. During annealing processes of diffusion redistribution of the film components are activated, and this is accompanied by both the growth of the original crystalline phase and the formation of new crystals.

Structure of the Al-Сr-Ni Coating Formed on the H20N80 Alloy Substrate and its Transformation at 1150 °С

The structure and phase transformation of the Al-Cr-Ni coating obtained by the diffusion interaction of the H20N80 + AD1 multilayer composite material during heat treatment are investigated in this paper. Investigations were carried out at 1150 °C with the heat treatment holding time of 1-50 hours. It is established that an increase in the heat treatment duration leads to the alignment of the coating chemical composition accompanied by increasing the concentration of nickel and decreasing the aluminum concentration. It is shown that the diffusion redistribution of Al in the coating during thermal exposure in the Al-Cr-Ni system is slower than in the binary Al-Ni system