Department of Mechanical Engineering, McGill University, Macdonald Engineering Building, 817 Sherbrooke Street West, Montreal, PQ H3A 0C3, Canada; Dipartimento di Ingegneria e Architettura, University of Parma, Parma, Italy.
Department of Mechanical Engineering, McGill University, Macdonald Engineering Building, 817 Sherbrooke Street West, Montreal, PQ H3A 0C3, Canada.
Acta Biomater. 2021 Oct 15;134:401-421. doi: 10.1016/j.actbio.2021.07.036. Epub 2021 Jul 23.
The mechanical properties of human aortas are linked to the layered tissue and its microstructure at different length scales. Each layer has specific mechanical and structural properties. While the ground substance and the elastin play an important role in tissue stiffness at small strain, collagen fibers carry most of the load at larger strains, which corresponds to the physiological conditions of the aorta at maximum pulsatile blood pressure. In fact, collagen fibers are crimped in the unloaded state. Collagen fibers show different orientation distributions when they are observed in a plane that is tangent to the aortic wall (in-plane section) or along a direction orthogonal to it (out-of-plane section). This was systematically investigated using large images (2500 × 2500 µm) with high resolution obtained by second harmonic generation (SHG) in order to homogenize tissue heterogeneity after a convergence analysis, which is a main goal of the study. In addition, collagen fibers show lateral interactions due to entanglements and the presence of transverse elastin fibers, observed on varying length scales using atomic force microscopy and a three-dimensional rendering obtained by stacking a sequence of SHG and two-photon fluorescence images; this is another important contribution. Human descending thoracic aortas from 13 heartbeat donors aged 28 to 66 years were examined. Uniaxial tensile tests were carried out on the longitudinal and circumferential strips of the aortic wall and the three separated layers (intima, media and adventitia). A structurally-motivated material model with (i) a term to describe the combined response of ground substance and elastin and (ii) terms to consider four families of collagen fibers with different directions was applied. The exclusion of compressed fibers was implemented in the fitting process of the experimental data, which was optimized by a genetic algorithm. The results show that a single fiber family with directional and dispersion parameters measured from SHG images can describe the mechanical response of all 39 layers (3 layers for each of the 13 aortas) with very good accuracy when a second (auxiliary) family of aligned fibers is introduced in the orthogonal direction to account for lateral fiber interaction. Indeed, all observed distributions of collagen directions can be accurately fitted by a single bivariate von Mises distribution. Statistical analysis of in-plane and out-of-plane dispersion of fiber orientations reveals structural differences between the three layers and a change of collagen dispersion parameters with age. STATEMENT OF SIGNIFICANCE: The stiffness of healthy young aortas is adjusted so that a diameter expansion of about 10 % is possible during the heartbeat. This creates the Windkessel effect, which smooths out the pulsating nature of blood flow and benefits organ perfusion. The specific elastic properties of the aorta that are required to achieve this effect are related to the microstructure of the aortic tissue at different length scales. An increase in the aortic stiffness, in addition to reducing cyclic expansion and worsening perfusion, is a risk factor for clinical hypertension. The present study relates the microstructure of healthy human aortas to the mechanical response and examines the changes in microstructural parameters with age, which is a key factor in increasing stiffness.
人类主动脉的力学性能与不同长度尺度的分层组织及其微观结构有关。每个层都具有特定的机械和结构特性。虽然基质和弹性蛋白在小应变时对组织刚度起着重要作用,但在较大应变时,胶原纤维承载着大部分载荷,这对应于主动脉在最大脉动血压下的生理状态。事实上,胶原纤维在未加载状态下是卷曲的。当在与主动脉壁相切的平面(平面内部分)或沿垂直于它的方向(平面外部分)观察时,胶原纤维表现出不同的取向分布。这是通过二次谐波产生(SHG)获得的大图像(2500×2500 µm)进行系统研究的,以便在收敛分析后均匀组织异质性,这是研究的主要目标。此外,胶原纤维由于缠结和存在横向弹性纤维而表现出侧向相互作用,这些可以在不同的长度尺度上使用原子力显微镜观察到,并通过堆叠 SHG 和双光子荧光图像的序列获得三维渲染来观察;这是另一个重要贡献。检查了 13 名年龄在 28 至 66 岁的心跳供体的降胸主动脉。在主动脉壁的纵向和周向条带以及三个分离的层(内膜、中膜和外膜)上进行了单轴拉伸试验。应用了一种具有(i)描述基质和弹性蛋白综合响应的项和(ii)考虑具有不同方向的四组胶原纤维的项的结构驱动材料模型。在实验数据的拟合过程中实施了对压缩纤维的排除,该过程通过遗传算法进行了优化。结果表明,当在正交方向引入第二(辅助)组取向纤维以考虑侧向纤维相互作用时,从 SHG 图像测量的具有方向和分散参数的单个纤维家族可以非常准确地描述所有 39 层(13 个主动脉中的每一个 3 层)的力学响应。事实上,所有观察到的胶原方向分布都可以通过单个双变量 von Mises 分布准确拟合。对纤维取向的平面内和平面外分散的统计分析揭示了三层之间的结构差异以及随年龄变化的胶原分散参数。意义声明:健康年轻主动脉的刚度经过调整,以便在心跳期间能够进行约 10%的直径扩张。这产生了脉压效应,使血流的脉动性质变得平滑,并有利于器官灌注。实现这种效果所需的主动脉的特定弹性特性与不同长度尺度的主动脉组织的微观结构有关。除了降低循环扩张和恶化灌注外,主动脉僵硬度的增加也是临床高血压的一个风险因素。本研究将健康人类主动脉的微观结构与力学响应联系起来,并检查了随年龄变化的微观结构参数的变化,这是增加僵硬度的关键因素。
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