Transcatheter aortic valve (TAV) implantation has become an established alternative to open-hearth surgical valve replacement. Current research aims to improve the treatment safety and extend the range of eligible patients. In this regard, computational modeling is a valuable tool to address these challenges, supporting the design phase by evaluating and optimizing the mechanical performance of the implanted device. In this study, a computational framework is presented for the shape and cross-sectional size optimization of TAV frames. Finite element analyses of TAV implantation were performed in idealized aortic root models with and without calcifications, implementing a mesh-morphing procedure to parametrize the TAV frame. The pullout force magnitude, peak maximum principal stress within the aortic wall, and contact pressure in the left ventricular outflow tract were defined as objectives of the optimization problem to evaluate the device mechanical performance. Design of experiment coupled with surrogate modeling was used to define an approximate relationship between the objectives and the TAV frame parameters. Surrogate models were interrogated within a fixed design space and multi-objective design optimization was conducted. The investigation of the parameter combinations within the design space allowed the successful identification of optimized TAV frame geometries, suited to either a single or groups of aortic root anatomies. The optimization framework was efficient, resulting in TAV frame designs with improved mechanical performance, ultimately leading to enhanced procedural outcomes and reduced costs associated with the device iterative development cycle.

经导管主动脉瓣 (TAV) 植入术已成为平炉手术瓣膜置换术的成熟替代方案。目前的研究旨在提高治疗安全性并扩大符合条件的患者范围。在这方面，计算建模是解决这些挑战的宝贵工具，通过评估和优化植入设备的机械性能来支持设计阶段。在这项研究中，提出了 TAV 框架的形状和横截面尺寸优化的计算框架。TAV 植入的有限元分析在有和没有钙化的理想主动脉根模型中进行，实施网格变形程序来参数化 TAV 框架。拔出力的大小，主动脉壁内的峰值最大主应力，左心室流出道中的接触压力和接触压力被定义为优化问题的目标，以评估设备的机械性能。结合代理建模的实验设计用于定义目标和 TAV 框架参数之间的近似关系。在固定设计空间内询问替代模型并进行多目标设计优化。对设计空间内的参数组合的研究允许成功识别优化的 TAV 框架几何形状，适用于单个或一组主动脉根解剖结构。优化框架是有效的，导致 TAV 框架设计具有改进的机械性能，