Department of Biomedical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands.
Biomech Model Mechanobiol. 2011 Apr;10(2):249-58. doi: 10.1007/s10237-010-0231-9. Epub 2010 Jun 17.
Constitutive models describing the arterial mechanical behavior are important in the development of catheterization products, to be used in arteries with a specific radius. To prove the possible existence of a constitutive model that, provided with a generic set of material and geometric parameters, is able to predict the radius-specific mechanical behavior of a coronary artery, the passive pressure-inner radius (P-r ( i )) and pressure-axial force change (P-ΔF ( z )) relations of seven porcine left anterior descending coronary arteries were measured in an in-vitro set-up and fitted with the model of Driessen et al. in J Biomech Eng 127(3):494-503 (2005), Biomech Model Mechanobiol 7(2):93-103 (2008). Additionally, the collagen volume fraction, physiological axial pre-stretch, and wall thickness to inner radius ratio at physiological loading were determined for each artery. From this, two generic parameter sets, each comprising four material and three geometric parameters, were obtained. These generic sets were used to compute the deformation of each tested artery using a single radius measurement at physiological loading as an artery-specific input. Artery-specific P-r ( i ) and P-ΔF ( z ) relations were predicted with an accuracy of 32 μm (2.3%) and 6 mN (29% relative to ΔF ( z )-range) on average compared to the relations measured in-vitro. It was concluded that the constitutive model provided with the generic parameters found in this study can well predict artery-specific mechanical behavior.
描述动脉力学行为的本构模型对于开发用于特定半径动脉的导管产品非常重要。为了证明存在一种本构模型，该模型具有一组通用的材料和几何参数，能够预测冠状动脉的特定半径机械行为，在体外装置中测量了 7 个猪左前降支冠状动脉的被动压力-内半径 (P-r(i)) 和压力-轴向力变化 (P-ΔF(z)) 关系，并使用 Driessen 等人在 J Biomech Eng 127(3):494-503 (2005)、Biomech Model Mechanobiol 7(2):93-103 (2008) 中的模型进行拟合。此外，还确定了每个动脉的胶原体积分数、生理轴向预拉伸和生理负荷下的壁厚与内半径比。由此，获得了包含四个材料和三个几何参数的两个通用参数集。这些通用参数集用于使用生理负荷下的单个半径测量值作为动脉特定输入来计算每个测试动脉的变形。与体外测量的关系相比，预测的动脉特定 P-r(i) 和 P-ΔF(z) 关系的平均精度分别为 32μm(2.3%)和 6mN(29%相对于ΔF(z)-范围)。结论是，使用本研究中找到的通用参数提供的本构模型可以很好地预测动脉特定的力学行为。
