Chen Qiang, Wang Yan, Li Zhi-Yong
Biomechanics Laboratory, School of Biological Science and Medical Engineering, Southeast University, Nanjing, 210096, People's Republic of China.
School of Chemistry, Physics and Mechanical Engineering, Queensland University of Technology, Brisbane, Australia.
Biomed Eng Online. 2016 Dec 28;15(Suppl 2):167. doi: 10.1186/s12938-016-0279-6.
Considering past studies on the orthotropic anisotropy of arteries in the circumferential and axial directions, this work aims to experimentally study the anisotropic behaviour of arteries by tensioning multi-directional strips of porcine thoracic aorta.
Histology is first analyzed by staining arterial sections of three orthotropic (axial, circumferential, and radial) planes. 168 stripped samples from 21 aortas are categorized into three loading-rate groups to investigate the influence of loading rates on the Young's modulus and ultimate stress. Basing on the Young's modulus and ultimate stress, the degree of anisotropy is calculated. Moreover, 24 stripped samples from 3 aortas are tested to study the relaxation anisotropy of arteries by fitting the experimental data with a five-parameter Maxwell reduced relaxation function.
Histological analysis shows the parallel orientation of crimpled collagen and elastin fibres. The Young's modulus and ultimate stress reach the greatest in the circumferential direction, and the smallest in the axial direction, respectively, and the values in the other directions are in-between; moreover, the two parameters monotonously increase as the samples orientate from the axial to circumferential directions. The Young's modulus is more sensitive to the loading rate than the ultimate stress. The degree of anisotropy calculated by the Young's modulus is similar to that by the ultimate stress, and it is independent of loading rates. Stress-relaxation also exhibits anisotropy, whose variation is consistent with those of the two parameters.
Due to the stress-growth rule, fibre preferably orientates in the circumferential direction, and the preferable orientation results in great mechanical parameters, anisotropy, and small relaxation behaviour of arteries. The work extends the studies on the arterial anisotropy instead of only the circumferential and axial directions, and could be useful to comprehensively understand the anisotropy of arteries.
鉴于以往关于动脉在圆周和轴向方向上的正交各向异性的研究,本研究旨在通过对猪胸主动脉的多方向条带进行拉伸,对动脉的各向异性行为进行实验研究。
首先通过对三个正交(轴向、圆周和径向)平面的动脉切片进行染色来分析组织学。将来自21个主动脉的168个剥离样本分为三个加载速率组,以研究加载速率对杨氏模量和极限应力的影响。基于杨氏模量和极限应力,计算各向异性程度。此外,对来自3个主动脉的24个剥离样本进行测试,通过用五参数麦克斯韦简化松弛函数拟合实验数据来研究动脉的松弛各向异性。
组织学分析显示卷曲的胶原纤维和弹性纤维平行排列。杨氏模量和极限应力分别在圆周方向上最大,在轴向方向上最小,其他方向的值介于两者之间;此外,随着样本从轴向到圆周方向定向,这两个参数单调增加。杨氏模量比极限应力对加载速率更敏感。由杨氏模量计算出的各向异性程度与由极限应力计算出的相似,且与加载速率无关。应力松弛也表现出各向异性,其变化与这两个参数的变化一致。
由于应力增长规律,纤维优选在圆周方向上定向,这种优选的定向导致动脉具有较大的力学参数、各向异性和较小的松弛行为。本研究扩展了对动脉各向异性的研究,而不仅仅局限于圆周和轴向方向,有助于全面理解动脉的各向异性。