Cai Li, Hao Yu, Ma Pengfei, Zhu Guangyu, Luo Xiaoyu, Gao Hao
School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710129, China.
NPU-UoG International Cooperative Lab for Computation and Application in Cardiology, Xi'an 710129, China.
Math Biosci Eng. 2022 Sep 8;19(12):13172-13192. doi: 10.3934/mbe.2022616.
Calcified aortic valve stenosis (CAVS) is caused by calcium buildup and tissue thickening that impede the blood flow from left ventricle (LV) to aorta. In recent years, CAVS has become one of the most common cardiovascular diseases. Therefore, it is necessary to study the mechanics of aortic valve (AV) caused by calcification. In this paper, based on a previous idealized AV model, the hybrid immersed boundary/finite element method (IB/FE) is used to study AV dynamics and hemodynamic performance under normal and calcified conditions. The computational CAVS model is realized by dividing the AV leaflets into a calcified region and a healthy region, and each is described by a specific constitutive equation. Our results show that calcification can significantly affect AV dynamics. For example, the elasticity and mobility of the leaflets decrease due to calcification, leading to a smaller opening area with a high forward jet flow across the valve. The calcified valve also experiences an increase in local stress and strain. The increased loading due to AV stenosis further leads to a significant increase in left ventricular energy loss and transvalvular pressure gradients. The model predicted hemodynamic parameters are in general consistent with the risk classification of AV stenosis in the clinic. Therefore, mathematical models of AV with calcification have the potential to deepen our understanding of AV stenosis-induced ventricular dysfunction and facilitate the development of computational engineering-assisted medical diagnosis in AV related diseases.
钙化性主动脉瓣狭窄(CAVS)是由钙沉积和组织增厚引起的,这些会阻碍血液从左心室(LV)流向主动脉。近年来,CAVS已成为最常见的心血管疾病之一。因此,有必要研究钙化引起的主动脉瓣(AV)力学。本文基于先前的理想化AV模型,采用混合浸入边界/有限元方法(IB/FE)研究正常和钙化条件下的AV动力学和血流动力学性能。通过将AV瓣叶划分为钙化区域和健康区域来实现计算CAVS模型,每个区域由特定的本构方程描述。我们的结果表明,钙化会显著影响AV动力学。例如,由于钙化,瓣叶的弹性和活动性降低,导致开口面积减小,跨瓣正向射流流速增加。钙化瓣膜的局部应力和应变也会增加。由于AV狭窄导致的负荷增加进一步导致左心室能量损失和跨瓣压力梯度显著增加。该模型预测的血流动力学参数总体上与临床中AV狭窄的风险分类一致。因此,钙化AV的数学模型有可能加深我们对AV狭窄所致心室功能障碍的理解,并促进AV相关疾病的计算工程辅助医学诊断的发展。