用图模型捕捉心脏血流紊乱,揭示疾病严重程度与治疗效果。
Learning Disease-Sensitive Latent Interaction Graphs From Noisy Cardiac Flow Measurements
- 将血流涡旋建模为图中可交互的节点,融合物理规律和神经推理。
- 图熵与主动脉缩窄严重度相关性达R²=0.78,斯皮尔曼相关系数|ρ|=0.96。
- 适用于模拟、血管瘤和超声数据,可解释治疗对血流结构的影响。
心脏血流模式蕴含丰富的疾病严重程度与临床干预信息,但现有成像与计算方法难以捕捉相干流特征间的潜在关系结构。本文提出一种物理引导的隐式关系框架,将心脏涡旋视为图中相互作用的节点。模型结合神经关系推断架构与物理启发的相互作用能量及出生-死亡动态,生成对疾病严重程度和干预水平敏感的隐式图结构。首先在主动脉缩窄的计算流体动力学模拟中验证,随着血管狭窄加剧,学习到的涡旋交互结构愈发有序,图熵与严重度呈强单调关系(R²=0.78,Spearman |ρ|=0.96)。随后在颅内动脉瘤的流固耦合模拟中评估,动脉瘤体积生成最有效的隐式表示,非交互图熵与严重度高度相关(Spearman |ρ|=0.91),并泛化至多种形态指标。最后应用于不同左心室辅助装置支持水平下的超声衍生流场,隐式图成功捕捉机械辅助下相干涡旋交互逐渐丧失的过程,验证跨模态泛化能力。在所有数据集中,隐式交互图及其熵值均提供了可解释的疾病严重程度与干预标志,连接血流组织与临床生理变化。
原文摘要 · Abstract (English)
Cardiac blood flow patterns contain rich information about disease severity and clinical interventions, yet current imaging and computational methods fail to capture underlying relational structures of coherent flow features. We propose a physics-informed, latent relational framework to model cardiac vortices as interacting nodes in a graph. Our model combines a neural relational inference architecture with physics-inspired interaction energy and birth-death dynamics, yielding a latent graph sensitive to disease severity and intervention level. We first develop the method using computational fluid dynamics simulations of aortic coarctation, where learned interaction graphs reveal increasingly structured vortex interactions as vessel narrowing progresses. The resulting graph entropy exhibits a strong monotonic relationship with coarctation severity ($R^2=0.78$, Spearman $|ρ|=0.96$). We then evaluate the framework on fluid-structure interaction simulations of intracranial aneurysms using multiple geometric severity descriptors. Among these, aneurysm volume produces the most informative latent representation, with non-interaction graph entropy demonstrating a strong monotonic relationship with severity (Spearman $|ρ| = 0.91$) and generalising to several alternative morphological measures. Finally, we apply the approach to ultrasound-derived flow fields of a left ventricle under varying levels of left ventricular assist device support, where the latent graph captures the progressive loss of coherent vortex interactions under mechanical assistance, demonstrating cross-modal generalisation to imaging data. Across all datasets, latent interaction graphs and graph entropy provide interpretable markers of disease severity and intervention, linking haemodynamic organisation to clinically relevant physiological changes.
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