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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国家自然科学基金项目(82241208,82241207),福建省自然科学基金面上项目(2023J011687)


A Blood Pressure Prediction Method Based on Fluid-Structure Interaction Considering Residual Stress and Aorta Hyperelasticity
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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。不同年龄人气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。

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    Objective With considerion of aortic wall hyperelasticity and residual stress, to propose a numerical simulation method for predicting aortic blood pressure based on vascular compliance. Methods The residual stress solution method based on the closing opening angle was used to realizd the analytical solution for the pressure-radius relationship of the idealized double-layered aortic wall model. The vascular compliance was calculated, and the pressure-radius relationship was applied to the moving boundary representing the motion of the aortic wall for numerical simulation, to obtain the relationship between vascular compliance and pulse pressure. 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 were compared. The function of the stent graft was incorporated, by considering the stented region as a rigid wall, simulating the effects of different stent numbers and stent positions on aortic blood pressure. Results Vascular compliance with residual stress was higher than that without residual stress; correspondingly, when residual stress was considered, aortic pulse pressure was slightly lower than that without residual stress. Compared to the linear elastic model, the hyperelastic model predicted a smaller aortic pulse pressure value. The vascular compliance for different age groups showed 40–49 year-old > 60–69 year-old > 70 year-old and above; correspondingly, the pulse pressure for different age groups showed 40–49 year-old < 60–69 year-old < 70 year-old and above. When a stent with 60 mm length was implanted in the aorta, as the number of stents increasing, the aortic pulse pressure continued to rise, indicating that the wider the range of stent implantation, the higher the pulse pressure. The closer the stent implantation site was to the heart, the higher the pulse pressure. Conclusions The proposed simulation method in this study can accurately predict blood pressure and evaluate aortic compliance, providing theoretical and technical support for stent design and surgical plan optimization.

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张跃凡,郭宝磊,孙翠茹,戴向晨,刘浩飞.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[J].医用生物力学,2025,40(1):49-57

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  • 收稿日期:2024-06-07
  • 最后修改日期:2024-09-05
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  • 在线发布日期: 2025-02-26
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