Numerical simulation of blood flow and pressure drop in the pulmonary arterial and venous circulation.

Numerical simulation of blood flow and pressure drop in the pulmonary arterial and venous circulation.
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DOI:
10.1007/s10237-014-0563-y
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发表时间:
2014-10
影响因子:
3.5
通讯作者:
Hill, N. A.
Hill, N. A.
中科院分区:
工程技术2区
文献类型:
--
作者:
Qureshi, M. Umar;Vaughan, Gareth D. A.;Sainsbury, Christopher;Johnson, Martin;Peskin, Charles S.;Olufsen, Mette S.;Hill, N. A.

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提出了一种新颖的肺循环多尺度数学和计算模型,并用于分析动脉和静脉压力和流量。这项工作是 Olufsen 及其同事之前仅考虑动脉循环的研究的重大进步。对于肺循环内的前三代血管,几何形状是根据使用磁共振成像 (MRI) 获得的患者特定测量值指定的。使用弹性管中牛顿流体的非线性、横截面积平均方程组来预测较大动脉和静脉中的血流和压力。流入主肺动脉的流量通过 MRI 测量获得,而从主肺静脉进入左心房的压力保持恒定在正常平均值 2 mmHg。 “大”动脉网络中的每个终端血管通过代表较小动脉和静脉的血管床的血管网络连接到其相应的终端静脉。我们开发并实现了一种算法,使用分叉结构化树和递归来计算每个血管床的导纳。结构化树模型考虑了半径≥ 50μm 的“较小”动脉和静脉的几何形状和材料特性。我们研究了与三类肺动脉高压相关的流量和压力的影响,这三类肺动脉高压通过较大和较小的血管硬化以及血管稀疏来表达。模拟这些病理条件的结果与临床观察结果一致,表明该模型具有辅助诊断和治疗肺内循环疾病的潜力。
A novel multiscale mathematical and computational model of the pulmonary circulation is presented and used to analyse both arterial and venous pressure and flow. This work is a major advance over previous studies by Olufsen and coworkers which only considered the arterial circulation. For the first three generations of vessels within the pulmonary circulation, geometry is specified from patient-specific measurements obtained using magnetic resonance imaging (MRI). Blood flow and pressure in the larger arteries and veins are predicted using a nonlinear, cross-sectional-area-averaged system of equations for a Newtonian fluid in an elastic tube. Inflow into the main pulmonary artery is obtained from MRI measurements, while pressure entering the left atrium from the main pulmonary vein is kept constant at the normal mean value of 2 mmHg. Each terminal vessel in the network of ‘large’ arteries is connected to its corresponding terminal vein via a network of vessels representing the vascular bed of smaller arteries and veins. We develop and implement an algorithm to calculate the admittance of each vascular bed, using bifurcating structured trees and recursion. The structured-tree models take into account the geometry and material properties of the ‘smaller’ arteries and veins of radii ≥ 50µm. We study the effects on flow and pressure associated with three classes of pulmonary hypertension expressed via stiffening of larger and smaller vessels, and vascular rarefaction. The results of simulating these pathological conditions are in agreement with clinical observations, showing that the model has potential for assisting with diagnosis and treatment of circulatory diseases within the lung.
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