We propose a distributed lumped parameter (DLP) modeling framework to efficiently compute blood flow and pressure in vascular domains. This is achieved by developing analytical expressions describing expected energy losses along vascular segments, including from viscous dissipation, unsteadiness, flow separation, vessel curvature and vessel bifurcations. We apply this methodology to solve for unsteady blood flow and pressure in a variety of complex 3D image-based vascular geometries, which are typically approached using computational fluid dynamics (CFD) simulations. The proposed DLP framework demonstrated consistent agreement with CFD simulations in terms of flow rate and pressure distribution, with mean errors less than 7% over a broad range of hemodynamic conditions and vascular geometries. The computational cost of the DLP framework is orders of magnitude lower than the computational cost of CFD, which opens new possibilities for hemodynamics modeling in timely decision support scenarios, and a multitude of applications of imaged-based modeling that require ensembles of numerical simulations.

我们提出了一种分布式集总参数 (DLP) 建模框架，以有效计算血管域中的血流量和压力。这是通过开发描述沿血管段的预期能量损失的分析表达式来实现的，包括来自粘性耗散、不稳定、流动分离、血管曲率和血管分叉。我们应用这种方法来解决各种复杂的基于 3D 图像的血管几何结构中的不稳定血流和压力，这些几何结构通常使用计算流体动力学 (CFD) 模拟进行处理。提议的 DLP 框架在流速和压力分布方面与 CFD 模拟一致，在广泛的血液动力学条件和血管几何形状下平均误差小于 7%。