Спектральний аналіз та інваріантна міра при вивченні динаміки гемостазу кровоносної судини

• Дата: 2021
• Автор: Grytsay, V.I.
• Формат: Стаття
• Мова: English
• Опубліковано: Publishing house "Academperiodika" 2021
• Теми: гемостаз; самоорганiзацiя; дивний атрактор; ряд Фур’є; iнварiантна мiра; ЛПНЩ; цитокiни; hemostasis; self-organization; strange attractor; Fourier series; invariant measure; low-density lipoproteins; cytokines; Nonlinear Dynamics and Chaos
• Онлайн доступ: https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2020239
• Назва журналу: Ukrainian Journal of Physics

A mathematical model of atherosclerosis of a blood vessel is advanced with regard for the entry of low-density lipoproteins (LDLs) into blood. For the first time, the influence of cytokines on the inflammation of a blood vessel at the formation of atherosclerotic plaques is taken into account. With the help of the expansion in a Fourier series and the calculation of an invariant measure, the scenario of the appearance of strange attractors depending on a change in the parameter of the dissipation of cholesterol is studied. The conclusion is made about the interconnection of the dynamics of the metabolic process in a blood vascular system and its physical state.