A 2-D model of flow-induced alterations in the geometry, structure, and properties of carotid arteries

A 2-D model of flow-induced alterations in the geometry, structure, and properties of carotid arteries
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DOI:
10.1115/1.1762899
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发表时间:
2004-06-01
影响因子:
1.7
通讯作者:
Humphrey, JD
Humphrey, JD
中科院分区:
工程技术4区
文献类型:
--
作者:
Gleason, RL;Taber, LA;Humphrey, JD

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来自各种研究的证据表明,动脉生长和重塑与其稳态值的机械应力变化密切相关。因此,最终需要一种综合理论来解释动脉壁内应力的 3D 分布的变化,包括残余应力及其与机械传导机制的关系。然而,在这里,我们考虑一种更简单的理论,它可以轻松测试相互竞争的假设,可以为 3D 理论的发展提供指导,并且可能有助于模拟固液相互作用和解释临床数据。具体来说,我们提出了一个二维约束混合模型,用于适应圆柱形动脉以响应血流的持续变化。使用用于应力响应的混合规则模型和用于产生和去除壁内三种主要承重成分的一阶动力学,我们通过比较弹性蛋白完全周转和可忽略的弹性蛋白周转的响应来说明该模型的功能。研究结果表明,生物限制可能会导致次优的适应,这与报告的观察结果一致。然而,为了建立这一发现,需要更多的数据来指导假设检验以及模型内特定本构关系的制定。
Evidence from diverse investigations Suggests that arterial growth and remodeling correlates well with changes in mechanical stresses from their homeostatic values. Ultimately, therefore, there is a need for a comprehensive theory that accounts for changes in the 3-D distribution of stress within the arterial wall, including residual stress, and its relation to the mechanisms of mechanotransduction. Here, however, we consider a simpler theory that allows competing hypotheses to be tested easily, that can provide guidance in the development of a 3-D theory, and that may be useful in modeling solid-fluid interactions and interpreting clinical data. Specifically, we present a 2-D constrained mixture model for the adaptation of a cylindrical artery in response to a sustained alteration in flow. Using a rule-of-mixtures model for the stress response and first order kinetics for the production and removal of the three primary load-bearing constituents within the wall, we illustrate capabilities of the model by comparing responses given complete versus negligible turnover of elastin. Findings suggest that biological constraints may result in suboptimal adaptations, consistent with reported observations. To build upon this finding, however there is a need for significantly more data to guide the hypothesis testing as well as the formulation of specific constitutive relations within the model.