In many important practical problems, some decision should be made by finding the global optimum of a multiextremal objective function subject to a set of constraints. Frequently, especially in engineering applications, the functions involved in optimization process are black-box with unknown analytical representations and hard to evaluate. Such computationally challenging decision-making problems often cannot be solved by traditional optimization techniques based on strong suppositions about the problem (convexity, differentiability, etc.). In this paper, some innovative and powerful approaches developed by the authors to construct efficient numerical methods for solving the mentioned problems are presented.
The anticancer activity of the multicomponent nanostructured drug “gold nanoparticles – apitoxin - chitosan” was revealed on white rats with implanted carcinoma under injecting encompassing of neoplasms. Drug at therapeutic doses when the apitoxin containing in it one degree lower than toxic (DL 50) effectively inhibits the growth of implanted tumor. On the 28th day after the course administration the external surface area of the tumor decreases in 5 times compared to control animals. Antitumor effect is also reflected as the normalization of free-radical processes. Indicators of biochemiluminescence (Imax) of animals reduces from 250 mV with implanted tumor in the control group to 150 mV of animals with implanted tumor which injected the drug. The value of leukocyte coefficient which characterizes the status of the animals organism (normal or stress), in experiments with the drug do not significantly differ from the normal values (5.36 ± 0.72; 6.73 ± 1.09 respectively) and appreciably higher than in control group of animals with implanted tumor that the drug is not administered (1.91 ± 0.15). Leukocyte ratio 1.91 shows that control animals are under stress.
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