Hodis S, Zamir M
Department of Applied Mathematics, The University of Western Ontario, London, Canada.
J Biomech. 2009 May 29;42(8):1010-6. doi: 10.1016/j.jbiomech.2009.02.010. Epub 2009 Apr 21.
Change in arterial stiffness is generally considered a risk factor for cardiovascular disease and, in various ways, has been associated with hypertension, diabetes, hyperlipidemia, atherosclerosis, and heart failure, likely because of altered dynamics of the wall and of the fluid-wall interplay in pulsatile flow. We present a comprehensive analytical study of longitudinal displacements and stresses within the thickness of the vessel wall induced by pulsatile flow at different times within the cardiac cycle, using the fractional derivative model which has been found to provide a good descriptor of the rheological material's response to frequency. The results indicate that the extent of displacement and shear stress within the depth of the vessel wall depend critically on the degree to which the wall is tethered to surrounding tissue and on the mechanical consistency of the wall material, particularly on the relative proportions of viscous and elastic content within the wall. In particular, loss of viscous consistency leads to higher shear stresses within the wall thus putting higher loading on elastin and may ultimately lead to elastin fatigue and, as elastin gradually fails, its load bearing function is presumably taken over by collagen which renders the vessel wall less elastic and more rigid as is indeed observed in the aging process. It is thus concluded that loss of viscous content within the vessel wall, whether by disease or aging, may be a prelude to elastin fatigue and elastin failure within the vessel wall.
动脉僵硬度的改变通常被认为是心血管疾病的一个危险因素,并且以各种方式与高血压、糖尿病、高脂血症、动脉粥样硬化和心力衰竭相关,这可能是由于脉动血流中血管壁动力学以及流体 - 血管壁相互作用的改变所致。我们使用分数阶导数模型,对心动周期内不同时间的脉动血流在血管壁厚度内引起的纵向位移和应力进行了全面的分析研究,该模型已被证明能很好地描述流变材料对频率的响应。结果表明,血管壁深度内的位移和剪应力程度关键取决于血管壁与周围组织的连接程度以及血管壁材料的力学特性,特别是血管壁内粘性和弹性成分的相对比例。特别是,粘性特性的丧失会导致血管壁内更高的剪应力,从而给弹性蛋白带来更高的负荷,并可能最终导致弹性蛋白疲劳,而且随着弹性蛋白逐渐失效,其承载功能大概会由胶原蛋白接管,这使得血管壁弹性降低且更僵硬,这在衰老过程中确实可以观察到。因此可以得出结论,血管壁内粘性成分的丧失,无论是由于疾病还是衰老,都可能是血管壁内弹性蛋白疲劳和弹性蛋白失效的前奏。