一种基于流固耦合并考虑主动脉残余应力与超弹性的血压预测方法
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1.天津大学;2.复旦大学附属中山医院;3.天津医科大学总医院

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A Blood Pressure Prediction Method Based on Fluid-Structure Interaction Considering Residual Stress and Hyperelasticity of The Aorta
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1.Tianjin University;2.Zhongshan Hospital of Fudan University;3.Tianjin Medical University General Hospital

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    摘要:

    目的 考虑主动脉壁超弹性和残余应力,提出一种基于血管顺应性预测主动脉血压的数值模拟方法。方法 基于闭合张开角的三维残余应力求解方法和超弹性本构理论,实现理想化双层厚壁主动脉模型压力-半径关系的解析求解。计算血管顺应性,并将压力-半径关系施加于流体域的移动壁面边界进行数值模拟计算,获得血管顺应性与脉压的关系。对比有无残余应力、是否考虑血管超弹性以及不同年龄对血管顺应性和主动脉血压的影响。考虑覆膜支架的作用:将支架区域视为刚性壁,模拟不同支架数量、支架释放位置对主动脉血压的影响。结果 考虑残余应力的血管顺应性高于无残余应力,相应的,考虑残余应力时主动脉脉压略低于无残余应力的情况。与超弹性模型相比,线弹性模型的主动脉脉压预测值偏大。不同年龄的血管顺应性表现为40~49岁>60~69岁>70岁以上人群,相应的,主动脉脉压表现为40~49岁<60~69岁<70岁以上人群。当植入长度为60 mm的覆膜支架时,随着支架数量的增加,主动脉脉压持续增高,即支架植入范围越广,脉压越高。支架植入位置越靠近近心端,脉压越高。结论 本文提出的数值方法可正确预测主动脉血压,能够为主动脉支架设计和手术方案优化提供理论和技术支撑。

    Abstract:

    Objective Considering aortic wall hyperelasticity and residual stress, we propose a numerical simulation method for predicting aortic blood pressure based on vascular compliance. Methods Use the residual stress solution method based on the closing opening angle to get to the analytical solution for the pressure-radius relationship of the idealized double-layered aortic wall model. Apply this formula to the moving boundary represents the motion of the aortic wall, we can capture the hemodynamic effects caused by fluid-structure interaction and obtain the relationship between vascular compliance and pulse pressure. We compare the effects of with or without residual stress, hyperelasticity or linear elasticity constitutive relationships, as well as different ages on vascular compliance and aortic blood pressure. Incorporate the function of the stent graft and consider the stented region as a rigid wall, simulating the effects of different numbers of stents and stent positions on aortic blood pressure. Results Compared to the linear elastic model, hyperelastic model predicted smaller aortic pulse pressure values in numerical simulation. Vascular compliance with residual stress is higher than without residual stress, correspondingly, when considering residual stress, aortic pulse pressure is slightly lower than without residual stress. The compliance of different ages shows 40~49 years > 60~69 years > 70 years and above, correspondingly, the pulse pressure of different ages shows 40~49 years< 60~69 years < 70 years and above. When a 60 mm stent is implanted in the aorta, due to decreased compliance, the pulse pressure is higher compared to the situation without stent. Moreover, as the number of stents increases, the aortic pulse pressure continues to rise, indicating that the wider the range of stent implantation, the higher the pulse pressure. When the stent is implanted in the ascending aorta, the pulse pressure is slightly higher than when it is implanted in the descending aorta. The lowest aortic pulse pressure occurs when the stent is implanted in the abdominal aorta, meaning that the closer the stent implantation site is to the heart, the higher the pulse pressure. Conclusion The proposed method can accurately predict blood pressure and evaluate aortic compliance through numerical simulation results, providing technical support for stent design and surgical plan optimization.

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  • 收稿日期:2024-06-07
  • 最后修改日期:2024-09-05
  • 录用日期:2024-09-06
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