用深度学习快速准确估算腹主动脉瘤血流剪切力,支持多种临床变化场景。
Wall Shear Stress Estimation in Abdominal Aortic Aneurysms: Towards Generalisable Neural Surrogate Models
- 基于几何深度学习和投影几何代数,直接从3D血管结构预测血流剪切力。
- 在100例患者数据上训练,对不同解剖形态和边界条件保持高精度。
- 可泛化到新分支、新拓扑及不同网格分辨率,适合临床实际应用。
腹主动脉瘤(AAA)是腹主动脉的病理性扩张,破裂后死亡率极高。研究其进展与破裂风险常依赖计算流体动力学(CFD)模拟,提取时间平均壁面剪切应力(TAWSS)或振荡剪切指数(OSI)等血流动力学参数,但CFD计算成本高昂。近年来,基于3D形状的几何深度学习方法被提出作为替代,可在数秒内完成估计。本文提出一种E(3)-等变深度学习模型,结合新型鲁棒几何描述符与投影几何代数,利用100例患者CT扫描重建的管腔几何结构及其在多种边界条件下的参考CFD模拟数据进行训练,实现瞬时壁面剪切应力(WSS)的估计。结果表明,模型在分布内及外部测试集上均表现良好,对几何重塑和边界条件变化具有强鲁棒性;且可应用于包含新增未见分支的动脉树拓扑。此外,模型对网格分辨率不敏感。这些结果验证了模型的准确性与泛化能力,展示了其在临床血流动力学参数评估中的潜力。
原文摘要 · Abstract (English)
Abdominal aortic aneurysms (AAAs) are pathologic dilatations of the abdominal aorta posing a high fatality risk upon rupture. Studying AAA progression and rupture risk often involves in-silico blood flow modelling with computational fluid dynamics (CFD) and extraction of hemodynamic factors like time-averaged wall shear stress (TAWSS) or oscillatory shear index (OSI). However, CFD simulations are known to be computationally demanding. Hence, in recent years, geometric deep learning methods, operating directly on 3D shapes, have been proposed as compelling surrogates, estimating hemodynamic parameters in just a few seconds. In this work, we propose a geometric deep learning approach to estimating hemodynamics in AAA patients, and study its generalisability to common factors of real-world variation. We propose an E(3)-equivariant deep learning model utilising novel robust geometrical descriptors and projective geometric algebra. Our model is trained to estimate transient WSS using a dataset of CT scans of 100 AAA patients, from which lumen geometries are extracted and reference CFD simulations with varying boundary conditions are obtained. Results show that the model generalizes well within the distribution, as well as to the external test set. Moreover, the model can accurately estimate hemodynamics across geometry remodelling and changes in boundary conditions. Furthermore, we find that a trained model can be applied to different artery tree topologies, where new and unseen branches are added during inference. Finally, we find that the model is to a large extent agnostic to mesh resolution. These results show the accuracy and generalisation of the proposed model, and highlight its potential to contribute to hemodynamic parameter estimation in clinical practice.
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