不确定性量化和灵敏度分析用于基于非侵入性模型的即时无波比率预测
Caterina Dalmaso1, Fredrik Eikeland Fossan2, Anders Tjellaug Bråten3,4
1Department of Mathematics, University of Trento, Trento, Italy.
概括
这项研究验证了1D-0D模型用于估计冠状动脉疾病指数,发现血管几何和流量是准确即时无波比 (iFR) 预测的关键. 稳定状态模拟可能足以进行iFR估计.
科学领域:
- 心血管生理学心血管生理学
- 计算流体动力学的流体动力学.
- 医疗成像医学成像
背景情况:
- 准确估计冠状动力学的冠状动力学对于诊断和管理稳定的冠状动脉疾病至关重要.
- 针对患者的特定计算模型提供了一种非侵入性的方法来评估血液动力学指数,例如即时无波比 (iFR).
- 输入参数中的不确定性可能会影响这些计算预测的可靠性.
研究的目的:
- 为了验证1D-0D不稳定溶解器与分布式狭窄模型用于患者特定的静止血液动力学指数的估计.
- 评估iFR预测对输入参数不确定性的敏感性,包括边界条件和血管几何.
- 将1D-0D模型的结果与3D模型和侵入性测量进行比较.
主要方法:
- 开发和验证一个包含分布式狭窄模型的1D-0D不稳定溶解器.
- 应用多项式混沌方法来量化基于输入参数变化的iFR预测中的不确定性.
- 模拟iFR与52名冠状动脉疾病稳定患者的侵入性测量结果的比较.
主要成果:
- 在1D-0D/3D模型衍生的iFR和侵入性测量之间发现了令人满意的一致性 (偏差为0.0-0.005).
- 灵敏度分析显示,iFR预测最受血管几何和冠状动脉流动不确定性的影响.
- 1D-0D方法显示了侵入性iFR的轻微高估 (偏差-0.036),突出了改善流量估计的需要.
结论:
- 经过验证的1D-0D解决器为患者特定的血液动力学指数估计提供了可靠的工具.
- 血管几何和冠状动脉流量是准确的iFR预测的关键参数,而压力波形的不确定性对影响最小.
- 稳态模拟显示了对iFR预测的不稳定模拟的强烈相关性,这表明了计算效率的潜力.
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