MacDonald Daniel E, Cancelliere Nicole M, Pereira Vitor M, Steinman David A
Department of Mechanical & Industrial Engineering, University of Toronto, 5 King's College Rd, Toronto, Ontario M5S 3G8, Canada.
Department of Neurosurgery, St. Michael's Hospital, 36 Queen St E, Toronto, Ontario M5B 1W8, Canada.
Comput Methods Programs Biomed. 2023 Nov;241:107762. doi: 10.1016/j.cmpb.2023.107762. Epub 2023 Aug 11.
Vessel geometry and hemodynamics are intrinsically linked, whereby geometry determines hemodynamics, and hemodynamics influence vascular remodeling. Both have been used for testing clinical outcomes, but geometry/morphology generally has less uncertainty than hemodynamics derived from medical image-based computational fluid dynamics (CFD). To provide clinical utility, CFD-based hemodynamic parameters must be robust to modeling errors and/or uncertainties, but must also provide useful information not more-easily extracted from shape alone. The objective of this study was to methodically assess the response of hemodynamic parameters to gradual changes in shape created using an unsupervised 3D shape interpolation method.
We trained the neural network NeuroMorph on 3 patient-derived intracranial aneurysm surfaces (labelled A, B, C), and then generated 3 distinct morph sequences (A→B, B→C, C→A) each containing 10 interpolated surfaces. From high-fidelity CFD simulation of these, we calculated a variety of common reduced hemodynamic parameters, including many previously associated with aneurysm rupture, and analyzed their responses to changes in shape, and their correlations.
The interpolated surfaces demonstrate complex, gradual changes in branch angles, vessel diameters, and aneurysm morphology. CFD simulation showed gradual changes in aneurysm jetting characteristics and wall-shear stress (WSS) patterns, but demonstrated a range of responses from the reduced hemodynamic parameters. Spatially and temporally averaged parameters including time-averaged WSS, time-averaged velocity, and low-shear area (LSA) showed low variation across all morph sequences, while parameters of flow complexity such as oscillatory shear, spectral broadening, and spectral bandedness indices showed high variation between slightly-altered neighboring surfaces. Correlation analysis revealed a great deal of mutual information with easier-to-measure shape-based parameters.
In the absence of large clinical datasets, unsupervised shape interpolation provides an ideal laboratory for exploring the delicate balance between robustness and sensitivity of nominal hemodynamic predictors of aneurysm rupture. Parameters like time-averaged WSS and LSA that are highly "robust" may, as a result, be effectively redundant to morphological predictors, whereas more sensitive parameters may be too uncertain for practical clinical use. Understanding these sensitivities may help identify parameters that are capable of providing added value to rupture risk assessment.
血管几何结构与血流动力学内在相关,即几何结构决定血流动力学,而血流动力学影响血管重塑。两者均已用于测试临床结果,但几何结构/形态学的不确定性通常低于基于医学图像的计算流体动力学(CFD)得出的血流动力学。为了提供临床实用性,基于CFD的血流动力学参数必须对建模误差和/或不确定性具有鲁棒性,但还必须提供从形状本身不易提取的有用信息。本研究的目的是系统地评估血流动力学参数对使用无监督3D形状插值方法创建的形状逐渐变化的响应。
我们在3个源自患者的颅内动脉瘤表面(标记为A、B、C)上训练神经网络NeuroMorph,然后生成3个不同的形态序列(A→B、B→C、C→A),每个序列包含10个插值表面。通过对这些表面进行高保真CFD模拟,我们计算了各种常见的简化血流动力学参数,包括许多先前与动脉瘤破裂相关的参数,并分析了它们对形状变化的响应及其相关性。
插值表面显示出分支角度、血管直径和动脉瘤形态的复杂、逐渐变化。CFD模拟显示动脉瘤喷射特征和壁面剪应力(WSS)模式逐渐变化,但简化血流动力学参数表现出一系列响应。包括时间平均WSS、时间平均速度和低剪切面积(LSA)在内的时空平均参数在所有形态序列中变化较小,而流动复杂性参数如振荡剪切、频谱展宽和频谱带状指数在略有改变的相邻表面之间变化较大。相关性分析揭示了与更易于测量的基于形状的参数之间的大量互信息。
在缺乏大型临床数据集的情况下,无监督形状插值为探索动脉瘤破裂名义血流动力学预测指标的鲁棒性和敏感性之间的微妙平衡提供了理想的实验室。像时间平均WSS和LSA这样高度“鲁棒”的参数可能因此对形态学预测指标实际上是多余的,而更敏感的参数对于实际临床应用可能太不确定。了解这些敏感性可能有助于识别能够为破裂风险评估提供附加价值的参数。