Intraspecific scaling laws of vascular trees
Intraspecific scaling laws of vascular trees
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DOI：
10.1098/rsif.2011.0270
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发表时间：
2012-01-07
影响因子：
3.9
通讯作者：
Kassab, Ghassan S.
中科院分区：
文献类型：
--
作者：
Huo, Yunlong;Kassab, Ghassan S.
基于基本物理的维管树种内缩放规律的推导以前没有实现过。在这里，我们为种内维管树的体积-直径和流长缩放规律提供了这样的理论推导。结合最小能量假设，该公式还得出了直径-长度、流量-直径和流量-体积的标度规律。种内标度预测的体积-直径功率关系的理论指数为3，这是通过猪的三个主要冠状动脉树的实验测量（其中这些测量的最小二乘拟合的指数分别为2.96,3和2.98左前降支，左旋动脉和右冠状动脉树）验证的。这一比例规律与维管树在其他器官和物种中的形态测量数据非常吻合。这项研究是理解生物血管树的形态和血流动力学特征的基础，并对血管疾病具有指导意义。
A fundamental physics-based derivation of intraspecific scaling laws of vascular trees has not been previously realized. Here, we provide such a theoretical derivation for the volume-diameter and flow-length scaling laws of intraspecific vascular trees. In conjunction with the minimum energy hypothesis, this formulation also results in diameter-length, flow-diameter and flow-volume scaling laws. The intraspecific scaling predicts the volume-diameter power relation with a theoretical exponent of 3, which is validated by the experimental measurements for the three major coronary arterial trees in swine (where a least-squares fit of these measurements has exponents of 2.96, 3 and 2.98 for the left anterior descending artery, left circumflex artery and right coronary artery trees, respectively). This scaling law as well as others agrees very well with the measured morphometric data of vascular trees in various other organs and species. This study is fundamental to the understanding of morphological and haemodynamic features in a biological vascular tree and has implications for vascular disease.