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A 3-D CONSTRAINED MIXTURE MODEL FOR VASCULAR GROWTH AND REMODELING

机译:血管生长和重塑的3D约束混合模型

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It is known that arteries adapt and remodel to changes in their loading conditions. Evolution of mechanical properties of blood vessels is associated with numerous chronic and acute conditions such as hypertension and coronary thrombosis. In addition, treatments such as bypass surgery create loading conditions not seen in normal arteries. Blood vessels used in coronary bypass grafts experience abnormal loading conditions in both circumferential and axial directions. Blood vessels remodel by altering structural components to restore homeostatic values of stress. Such changes may include smooth muscle cell proliferation, migration and collagen synthesis, degradation, and remodeling. While biaxial mechanical tests and organ culture experiments provide values for global variables such as mean stresses and total thickness, mathematical models can help describe local mechanical properties at locations throughout the vessel wall. Experimental observations suggest that constituents of arteries turnover at different rates; thus, it is important that models are able to track individual constituents of the artery separately. Here, we present a 3D constrained mixture model for growth and remodeling of arteries exposed to large changes in flow, pressure, and axial stretch -induced.
机译:众所周知,动脉适应并重塑其负荷状况的变化。血管机械特性的演变与许多慢性和急性疾病有关,例如高血压和冠状动脉血栓形成。此外,诸如搭桥手术之类的治疗会产生正常动脉未见的负荷状况。冠状动脉旁路移植术中使用的血管在圆周方向和轴向方向上均出现异常负载情况。血管通过改变结构成分来重塑,以恢复压力的体内平衡值。此类变化可能包括平滑肌细胞增殖,迁移和胶原蛋白合成,降解和重塑。尽管双轴力学测试和器官培养实验为整体变量(例如平均应力和总厚度)提供了值,但数学模型可以帮助描述整个血管壁位置处的局部力学特性。实验观察表明,动脉周转的成分有不同的发生率。因此,重要的是模型必须能够分别跟踪动脉的各个组成部分。在这里,我们为暴露于流量,压力和轴向拉伸诱发的大变化的动脉的生长和重构提供了3D约束混合模型。

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