Growth and remodeling in a thick-walled artery model: effects of spatial variations in wall constituents
Growth and remodeling in a thick-walled artery model: effects of spatial variations in wall constituents
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DOI：
10.1007/s10237-007-0101-2
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发表时间：
2008-08-01
影响因子：
3.5
通讯作者：
Taber, Larry A.
中科院分区：
文献类型：
--
作者：
Alford, Patrick W.;Humphrey, Jay D.;Taber, Larry A.
提出了一个动脉生长和重塑的数学模型。该模型是由平滑肌细胞、弹性蛋白和胶原蛋白的约束混合物组成的厚壁管。根据先前公布的数据规定了每种成分的材料特性和径向和轴向分布。分析包括肌肉的应力依赖性生长和收缩性以及胶原纤维的周转。模拟进行了稳态条件下，突发高血压的时间响应。数值压力-半径关系和张开角（残余应力）与已发表的实验结果显示合理的协议。特别是，对于实际的材料和结构特性，该模型以合理的精度预测了沿主动脉长度沿着的张开角的测量变化。这些结果提供了一个更好的了解动脉中的残余应力的决定因素，并可以深入了解在自然和组织工程血管的成分分布的重要性。
A mathematical model is presented for growth and remodeling of arteries. The model is a thick-walled tube composed of a constrained mixture of smooth muscle cells, elastin and collagen. Material properties and radial and axial distributions of each constituent are prescribed according to previously published data. The analysis includes stress-dependent growth and contractility of the muscle and turnover of collagen fibers. Simulations were conducted for homeostatic conditions and for the temporal response following sudden hypertension. Numerical pressure-radius relations and opening angles (residual stress) show reasonable agreement with published experimental results. In particular, for realistic material and structural properties, the model predicts measured variations in opening angles along the length of the aorta with reasonable accuracy. These results provide a better understanding of the determinants of residual stress in arteries and could lend insight into the importance of constituent distributions in both natural and tissue-engineered blood vessels.