Inlet and Outlet Boundary Conditions and Uncertainty Quantification in Volumetric Lattice Boltzmann Method for Image-Based Computational Hemodynamics
Inlet and Outlet Boundary Conditions and Uncertainty Quantification in Volumetric Lattice Boltzmann Method for Image-Based Computational Hemodynamics
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DOI：
10.3390/fluids7010030
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发表时间：
2022-01
期刊：
影响因子：
1.9
通讯作者：
Huidan Yu;Monsurul Khan;Hao Wu;Chunze Zhang;X. Du;Rou Chen;Xin Fang;Jianyun Long;A. Sawchuk
中科院分区：
文献类型：
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作者：
Huidan Yu;Monsurul Khan;Hao Wu;Chunze Zhang;X. Du;Rou Chen;Xin Fang;Jianyun Long;A. Sawchuk
入口和出口边界条件(BCS)在新近出现的基于图像的计算血流动力学中发挥着重要作用，这些计算是从医学图像中解剖提取的人体动脉中的血流。我们根据患者的医学数据建立了生理性的入口和出口BCS，并将它们整合到体积格子Boltzmann方法中。入口处BC是一个脉动抛物面速度剖面，它符合真实的动脉形状，由多普勒速度波形构成。每个出口的Bc是根据三元件Windkesel模型计算的脉动压力，其中三个生理参数由相应的多普勒速度波形来调节。通过郭的非平衡外推方法，在格子Boltzmann方程中引入了速度和压力边界条件。同时，对不确定性对计算结果的影响进行了不确定性量化。对6个人体主肾动脉系统进行了应用研究。计算的压力波形与医学测量数据吻合较好。系统的不确定度量化分析表明，温克塞尔模型中计算的压力及其相关不确定度是可靠的。随着生理性BCS的发展，基于图像的血流动力学计算有望为无创性评估病变血管的血流动力学异常提供计算潜力。
Inlet and outlet boundary conditions (BCs) play an important role in newly emerged image-based computational hemodynamics for blood flows in human arteries anatomically extracted from medical images. We developed physiological inlet and outlet BCs based on patients’ medical data and integrated them into the volumetric lattice Boltzmann method. The inlet BC is a pulsatile paraboloidal velocity profile, which fits the real arterial shape, constructed from the Doppler velocity waveform. The BC of each outlet is a pulsatile pressure calculated from the three-element Windkessel model, in which three physiological parameters are tuned by the corresponding Doppler velocity waveform. Both velocity and pressure BCs are introduced into the lattice Boltzmann equations through Guo’s non-equilibrium extrapolation scheme. Meanwhile, we performed uncertainty quantification for the impact of uncertainties on the computation results. An application study was conducted for six human aortorenal arterial systems. The computed pressure waveforms have good agreement with the medical measurement data. A systematic uncertainty quantification analysis demonstrates the reliability of the computed pressure with associated uncertainties in the Windkessel model. With the developed physiological BCs, the image-based computation hemodynamics is expected to provide a computation potential for the noninvasive evaluation of hemodynamic abnormalities in diseased human vessels.