Lv Xianli, Wu Zhongxue, Li Youxiang
Department of Interventional Neuroradiology, Beijing Neurosurgical Institute and Beijing Tiantan Hospital, Capital Medical University; Beijing, China -
Neuroradiol J. 2013 Dec;26(6):661-8. doi: 10.1177/197140091302600609. Epub 2013 Dec 18.
There is no theoretical study on blood flow in brain arteriovenous malformation (AVM). We present a numerical theory on AVM and liquid embolic agent AVM embolization. Darcy's law was used to compute flow relations for brain AVMs. Maag's formula was used to explain the diffuse patterns of N-butyl-2-cyanoacrylate (NBCA) and ethylene-vinyl alcohol copolymer (EVOH) in brain AVMs. According to Darcy's law, the instantaneous blood flow rate through an AVM is directly proportional to the pressure drop between two places in the AVM and indirectly proportional to the distance between them. The greater the pressure gradient (through the AVM), the greater the discharge rate, and the discharge rate of blood will often differ through different AVM (or even through the same AVM, in a different direction) even if the same pressure gradient exists in both cases. Subsequent to Darcy's initial discovery, Maag found that the radius of NBCA or EVOH diffusion is inversely proportional to their viscosity. Darcy's Law and Maag's formula could be used to analyze flow patterns of brain AVM and liquid embolic agent behavior in AVM near ideal.
目前尚无关于脑动静脉畸形（AVM）血流的理论研究。我们提出了一种关于AVM和液体栓塞剂AVM栓塞的数值理论。达西定律用于计算脑AVM的血流关系。马格公式用于解释正丁基-2-氰基丙烯酸酯（NBCA）和乙烯-乙烯醇共聚物（EVOH）在脑AVM中的弥散模式。根据达西定律，通过AVM的瞬时血流速率与AVM中两点之间的压降成正比，与它们之间的距离成反比。压力梯度（通过AVM）越大，流量速率越大，即使在两种情况下存在相同的压力梯度，通过不同AVM（甚至通过同一AVM，在不同方向）的血流流量速率也常常不同。在达西最初发现之后，马格发现NBCA或EVOH的扩散半径与其粘度成反比。达西定律和马格公式可用于分析脑AVM的血流模式以及AVM中接近理想状态的液体栓塞剂行为。
