标题： 血管止血动力学研究中的谱分析和不变测度 显示英文标题

标题： Spectral Analysis and Invariant Measure in Studies of the Dynamics of the Hemostasis of a Blood Vessel

摘要： 一种动脉粥样硬化的数学模型被提出，考虑了低密度脂蛋白（LDLs）进入血液的情况。 首次考虑了细胞因子在动脉粥样硬化斑块形成过程中对血管炎症的影响。 通过傅里叶级数展开和不变测度的计算，研究了由于胆固醇耗散参数变化而出现奇异吸引子的场景。 得出结论，关于血液血管系统中代谢过程的动力学与其物理状态之间的相互联系。 显示英文摘要

摘要： 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.