Rachev Alexander, Shazly Tarek
University of South Carolina, College of Engineering and Computing, Biomedical Engineering Program, Columbia, SC 29208; Institute of Mechanics, Acad. G Bonchev Street Block 4, Sofia, Bulgaria.
University of South Carolina, College of Engineering and Computing, Biomedical Engineering Program, Columbia, SC 29208.
J Biomech Eng. 2020 Apr 1;142(4). doi: 10.1115/1.4045116.
We propose a novel structure-based two-dimensional (2D) mathematical model of hypertension-induced arterial remodeling. The model is built in the framework of the constrained mixture theory and global growth approach, utilizing a recently proposed structure-based constitutive model of arterial tissue that accounts for the individual natural configurations of and stress interaction between elastin and collagen. The basic novel predictive result is that provided remodeling causes a change in the elastin/collagen mass fraction ratio, it leads to a structural reorganization of collagen that manifests as an altered fiber undulation and a change in direction of the helically oriented fibers in the tissue natural state. Results obtained from the illustrative simulations for a porcine renal artery show that when remodeling is complete the collagen reorganization might have significant effects on the initial arterial geometry and mechanical properties of the arterial tissue. The proposed model has potential to describe and advance mechanistic understanding of adaptive arterial remodeling, promote the continual refinement of mathematical models of arterial remodeling, and provide motivation for new avenues of experimental investigation.
我们提出了一种新颖的基于结构的二维（2D）高血压诱导动脉重塑数学模型。该模型是在约束混合物理论和全局生长方法的框架内构建的，利用了最近提出的基于结构的动脉组织本构模型，该模型考虑了弹性蛋白和胶原蛋白的个体自然构型以及应力相互作用。基本的新颖预测结果是，如果重塑导致弹性蛋白/胶原蛋白质量分数比发生变化，它会导致胶原蛋白的结构重组，表现为纤维起伏的改变以及组织自然状态下螺旋取向纤维方向的变化。对猪肾动脉进行的示例性模拟结果表明，当重塑完成时，胶原蛋白重组可能会对动脉组织的初始动脉几何形状和力学性能产生重大影响。所提出的模型有潜力描述和推进对适应性动脉重塑的机制理解，促进动脉重塑数学模型的不断完善，并为新的实验研究途径提供动力。
