引用本文: 姚锦勋, 夏振华, 陈丽华. 不同狭窄率下理想血管中压降的修正研究. 力学与实践, 2022, 44(6): 1367-1374.
Yao Jinxun, Xia Zhenhua, Chen Lihua. Research on the pressure drop model for ideal vessels with different stenosis rates. Mechanics in Engineering, 2022, 44(6): 1367-1374.
 Citation: Yao Jinxun, Xia Zhenhua, Chen Lihua. Research on the pressure drop model for ideal vessels with different stenosis rates. Mechanics in Engineering, 2022, 44(6): 1367-1374.

## RESEARCH ON THE PRESSURE DROP MODEL FOR IDEAL VESSELS WITH DIFFERENT STENOSIS RATES

• 摘要: 压降是诊断血管狭窄风险程度的医学指标之一，本文开展了基于零维血管压降计算模型的修正研究。针对不同狭窄率的三维理想狭窄血管模型开展了系列数值模拟，总结了狭窄率引发的压降变化规律。引入同时考虑狭窄率和雷诺数的压降修正模型，并结合数值模拟数据和模拟退火算法的训练方法确定了修正模型参数，得到了血管压降预测公式。通过与前人的零维模型进行对比，新修正模型有效提高了雷诺数在75~500，狭窄率在0.35~0.8范围内的压降估计的精度。

Abstract: As one of the diagnostic parameters, quantification of pressure drop across the stenotic arteries is clinically important in diagnosing the risk of artery stenosis. In this paper, we propose an accurate formula to estimate the pressure drop between the inlet and outlet of three-dimensional straight blood vessels with ideal stenotic structures. We first perform numerical simulations on the three-dimensional ideal stenotic vascular models with different stenosis rates, and summarize the variations of pressure drop caused by the change of stenotic rates. The classical zero-dimensional (0D) model severely underestimates the pressure drop at high stenotic rates, and thus a correction model, which considers the effects of area reductions and Reynolds number, is introduced. The parameters in the model are determined by using the simulated annealing algorithm and the data from the simulations. By comparing with the estimation results of other 0D models, the present correction model can effectively improve the prediction accuracy of the pressure drop covering the Reynolds numbers ranging from 75 to 500 and the reduction areas ranging from 0.35 to 0.8.

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