A constrained mixture model for developing mouse aorta.

A constrained mixture model for developing mouse aorta.
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DOI:
10.1007/s10237-010-0265-z
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发表时间:
2011-10
影响因子:
3.5
通讯作者:
Wagenseil, Jessica E.
Wagenseil, Jessica E.
中科院分区:
工程技术2区
文献类型:
--
作者:
Wagenseil, Jessica E.

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机械应力影响成人和发育中血管的结构和功能。当这些应力被扰动时,血管壁重塑以使应力恢复到稳态水平。约束混合模型已被用于预测成人血管的重塑,以响应血压,轴向长度和血流的阶跃变化,但尚未被应用到发展中的血管。由于机械力的连续和同时变化,血管发育模型变得复杂。了解发育性生长和重塑对于治疗人类疾病和设计组织工程血管非常重要。本文提出了一个压力、长度和流量逐步增加的小鼠主动脉出生后发育的约束混合模型。基线模型假设血管壁中的平滑肌细胞(SMC)在扰动后立即收缩或扩张内径以维持剪切应力,然后重塑壁厚以维持周向应力。弹性蛋白、胶原和SMC具有不随发育年龄变化的稳态拉伸比和被动材料常数。基线模型不能预测先前发表的实验数据。为了近似实验数据,必须假设SMC扩张恒定量,而不管机械力的阶跃变化。还必须假设,稳态拉伸比和被动材料常数随年龄而变化。通过这些改变,该模型近似于3至30日龄小鼠主动脉的机械性能和尺寸的实验数据。
Mechanical stresses influence the structure and function of adult and developing blood vessels. When these stresses are perturbed, the vessel wall remodels to return the stresses to homeostatic levels. Constrained mixture models have been used to predict remodeling of adult vessels in response to step changes in blood pressure, axial length and blood flow, but have not yet been applied to developing vessels. Models of developing blood vessels are complicated by continuous and simultaneous changes in the mechanical forces. Understanding developmental growth and remodeling is important for treating human diseases and designing tissue-engineered blood vessels. This study presents a constrained mixture model for postnatal development of mouse aorta with multiple step increases in pressure, length and flow. The baseline model assumes that smooth muscle cells (SMCs) in the vessel wall immediately constrict or dilate the inner radius after a perturbation to maintain the shear stress and then remodel the wall thickness to maintain the circumferential stress. The elastin, collagen and SMCs have homeostatic stretch ratios and passive material constants that do not change with developmental age. The baseline model does not predict previously published experimental data. To approximate the experimental data, it must be assumed that the SMCs dilate a constant amount, regardless of the step change in mechanical forces. It must also be assumed that the homeostatic stretch ratios and passive material constants change with age. With these alterations, the model approximates experimental data on the mechanical properties and dimensions of aorta from 3- to 30-day-old mice.
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发表时间: 2009-01-05
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