论文标题
建模二尖瓣
Modeling the Mitral Valve
论文作者
论文摘要
该论文与二尖瓣的建模和模拟有关，二尖瓣是人心脏中的四个瓣膜之一。该阀由附着在环上的小叶组成，其自由边缘由弦系统支撑，它们本身固定在心脏内部的肌肉上。首先，我们检查瓣膜解剖结构并显示原始解剖的结果。这些显示了有关二尖瓣的纤维结构的严重解剖结构和信息。接下来，我们按照基于设计的弹性方法构建模型阀。我们合并了解剖的信息，以指定该模型的纤维拓扑。我们假设阀在支撑静压负载的同时达到机械平衡。所得微分方程的解决方案确定了阀模型的加压配置。为了完成模型，我们根据文献的实验应力 - 应变关系指定了本构法。最后，使用沉浸式边界方法，我们模拟了计算机测试室中流体中的模型阀。这项工作的目的是确定二尖瓣解剖结构和功能的基本原理和机制。
This thesis is concerned with modeling and simulation of the mitral valve, one of the four valves in the human heart. The valve is composed of leaflets attached to a ring, the free edges of which are supported by a system of chordae, which themselves are anchored to muscles inside the heart. First, we examine valve anatomy and show the results of original dissections. These display the gross anatomy and information on fiber structure of the mitral valve. Next, we build a model valve following a design-based approach to elasticity. We incorporate information from the dissections to specify the fiber topology of this model. We assume the valve achieves mechanical equilibrium while supporting a static pressure load. The solution to the resulting differential equations determines the pressurized configuration of the valve model. To complete the model we then specify a constitutive law based on experimental stress-strain relations from the literature. Finally, using the immersed boundary method, we simulate the model valve in fluid in a computer test chamber. The aim of this work is to determine the basic principles and mechanisms underlying the anatomy and function of the mitral valve.
