Jin Weiwei, Alastruey Jordi
Department of Biomedical Engineering, King's College London, London, UK.
World-Class Research Center 'Digital Biodesign and Personalized Healthcare', Sechenov University, Moscow, Russia.
J R Soc Interface. 2021 Apr;18(177):20200881. doi: 10.1098/rsif.2020.0881. Epub 2021 Apr 14.
One-dimensional (1-D) arterial blood flow modelling was tested in a series of idealized vascular geometries representing the abdominal aorta, common carotid and iliac arteries with different sizes of stenoses and/or aneurysms. Three-dimensional (3-D) modelling and measurements were used as ground truth to assess the accuracy of 1-D model pressure and flow waves. The 1-D and 3-D formulations shared identical boundary conditions and had equivalent vascular geometries and material properties. The parameters of an experimental set-up of the abdominal aorta for different aneurysm sizes were matched in corresponding 1-D models. Results show the ability of 1-D modelling to capture the main features of pressure and flow waves, pressure drop across the stenoses and energy dissipation across aneurysms observed in the 3-D and experimental models. Under physiological Reynolds numbers (), root mean square errors were smaller than 5.4% for pressure and 7.3% for the flow, for stenosis and aneurysm sizes of up to 85% and 400%, respectively. Relative errors increased with the increasing stenosis and aneurysm size, aneurysm length and , and decreasing stenosis length. All data generated in this study are freely available and provide a valuable resource for future research.
在一系列理想化的血管几何模型中对一维(1-D)动脉血流建模进行了测试,这些模型代表了具有不同大小狭窄和/或动脉瘤的腹主动脉、颈总动脉和髂动脉。三维(3-D)建模和测量用作基准事实,以评估一维模型压力波和血流波的准确性。一维和三维公式具有相同的边界条件,并具有等效的血管几何形状和材料特性。针对不同动脉瘤大小的腹主动脉实验装置参数在相应的一维模型中进行了匹配。结果表明,一维建模能够捕捉在三维和实验模型中观察到的压力波和血流波的主要特征、狭窄处的压降以及动脉瘤处的能量耗散。在生理雷诺数()下,对于高达85%和400%的狭窄和动脉瘤大小,压力的均方根误差小于5.4%,血流的均方根误差小于7.3%。相对误差随着狭窄和动脉瘤大小、动脉瘤长度以及的增加而增加,随着狭窄长度的减小而增加。本研究中生成的所有数据均可免费获取,为未来研究提供了宝贵的资源。