建立基于浸入边界有限元法的三维静脉瓣流固耦合数值模型

Three-dimensional Fluid-Structure Interaction Model of Venous Valve Based on Immersed Boundary/Finite Element Method

目的 探究静脉内血液与瓣膜之间的流固耦合动态过程和保证血液单向回流的生理机制。方法 基于浸入边界有限元法,结合人体下肢静脉医学图像及牛大隐静脉的解剖结构和尺寸,采用超弹性本构模型描述静脉瓣膜在生理条件下不可压缩、非线性和超弹性力学响应,构建静脉血管和静脉瓣膜的三维数值模型。结果 研究结果可视化地展示静脉动态运输血液的过程以及静脉瓣膜防止反流的功能机制,再现静脉内瓣膜运动和血液流动的周期性特点,讨论和量化了整个心动周期内的重要生理数据,包括静脉内血液的压力、流速和流量以及静脉瓣膜的开口面积、静脉瓣膜表面的应力和应变分布等。结论 三维流固耦合模型可数值再现静脉内生理动态过程,为进一步揭示静脉疾病相关机制提供重要的参考和指导意义。

Objective To explore the dynamic process of fluid-structure interaction(FSI) between venous blood and valves and the physiological mechanism that guarantees unidirectional blood reflux back to the heart.Methods A three-dimensional(3D) numerical model of the venous system was established using the immersed boundary/finite element method.In the simulation,information from medical images of human lower-extremity veins and the anatomical structure and size of the bovine great saphenous vein were applied.Moreover,a hyperelastic constitutive model was used to describe the incompressible,nonlinear,and hyperelastic mechanical responses of the venous valve under physiological conditions.Results The simulations visualized the process of venous blood transport and the function of venous valves in preventing reflux.The periodic characteristics of venous valve motion and blood flow were reproduced,and important physiological data during the entire cardiac cycle were discussed and quantified,including the pressure,velocity,and flow rate of venous blood;opening area of the venous valve;and stress and strain distributions on the valve surface.Conclusions The 3D FSI model numerically reproduces the physiological dynamic process within veins and potentially provides important references and guidance for revealing the pathological mechanism of venous diseases.