Relating airway diameter distributions to regular branching asymmetry in the lung
Relating airway diameter distributions to regular branching asymmetry in the lung
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DOI：
10.1103/physrevlett.95.168101
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发表时间：
2005-10-14
影响因子：
8.6
通讯作者：
Suki, B
中科院分区：
文献类型：
--
作者：
Majumdar, A;Alencar, AM;Suki, B
我们研究了哺乳动物肺不对称气道树中气道直径D的Pi(n)(D)随代n的分布。我们发现在研究的四个物种中，气道分叉是自相似的。具体来说，在达到一个截止直径之前，主子代和次子代的直径与母代的直径之比都是与N无关的常数。我们推导了Pi(N)(D)的封闭形式表达式，并基于非对称流划分模型检验了树的流动阻力。我们的研究结果表明，观察到的直径不均一性与潜在的规则分支不对称是一致的。
We study the distribution Pi(n)(D) of airway diameters D as a function of generation N in asymmetric airway trees of mammalian lungs. We find that the airway bifurcations are self-similar in four species studied. Specifically, the ratios of diameters of the major and minor daughters to their parent are constants independent of N until a cutoff diameter is reached. We derive closed form expressions for Pi(N)(D) and examine the flow resistance of the tree based on an asymmetric flow division model. Our findings suggest that the observed diameter heterogeneity is consistent with an underlying regular branching asymmetry.