Вид документа : Статья из журнала Шифр издания : Автор(ы) : Grytsay V. I. Заглавие : A mathematical model of the metabolic process of atherosclerosis Параллельн. заглавия :Математична модель метаболічного процесу атеросклерозу Место публикации : Український біохімічний журнал. - 2016. - Т. 88, № 4. - С. 75-84 (Шифр УУ1/2016/88/4) Примечания : Bibliogr. at the end of the art. MeSH-главная: МАТЕМАТИЧЕСКИЕ КОНЦЕПЦИИ -- MATHEMATICAL CONCEPTS АТЕРОСКЛЕРОЗ -- ATHEROSCLEROSIS ГЕМОСТАЗ -- HEMOSTASIS БИОМЕДИЦИНСКИЕ ИССЛЕДОВАНИЯ -- BIOMEDICAL RESEARCH ЖИРНЫЕ КИСЛОТЫ -- FATTY ACIDS Аннотация: A mathematical model of the metabolic process of atherosclerosis is constructed. the functioning of the polyenzymaticprostacyclin-thromboxane system of blood and the influence of a level of “bad cholesterol ”, namely low density lipoproteins (LDL), on it are studied. With the help of the numerical experiment, we analyze the influence of the concentration of molecules offat on hemostasis of blood in blood vessels. The kinetic curves for components of the system, phase-periodic bifurcation diagrams, attractors for various modes, and Poincari cross-section and image of a strange attractor are constructed. The complete spectra of Lyapunov’s exponents, divergencies, KS-entropies, predictability horizons, and Lyapunov dimensions of the fractality of strange attractors are calculated. Conclusions about the structural-functional connections, which determine the dependence of hemostasis of a circulatory system on the level of cholesterol in blood are drawn