Scaling Laws for Branching Vessels of Human Cerebral Cortex
Scaling Laws for Branching Vessels of Human Cerebral Cortex
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DOI：
10.1080/10739680802662607
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发表时间：
2009-01-01
期刊：
影响因子：
2.4
通讯作者：
Duvernoy, Henri
中科院分区：
文献类型：
--
作者：
Cassot, Francis;Lauwers, Frederic;Duvernoy, Henri
目的：血管构筑，尤其是脑微血管构筑，在神经成像、血管生成和发育、阿尔茨海默病和血管肿瘤等领域对健康和疾病都有深远的影响。我们分析了人类大脑皮层树状血管的结构。方法：用激光共聚焦显微镜从印度墨汁注射的人脑厚片上获取覆盖大片次级皮质的微血管网络的数字三维图像。使用一种新的分割方法来提取骨架并测量每个顶点的直径。结果：本文重点研究了皮质树状血管的拓扑学。利用树干-树冠分解，幂比例定律被证明支配综合参数之间的关系，例如末端累积长度、体积或归一化流量。这使我们从实验上证实了质量和代谢率之间的异速生长方程。相反，幂定律模型不匹配直径等局部参数与集成参数之间的关系。因此，默里定律没有对脑血管分叉的结构进行适当的建模。结论：这项研究提供了一个独特的、大型的数据库和数学特征，这可能被证明对大脑建模有价值。
Objective: Vascular architecture, particularly of cerebral microvessels, has profound implications for both health and disease in a variety of areas, such as neuroimaging, angiogenesis and development, Alzheimer's disease, and vascular tumors. We analyzed the architecture of tree-like vessels of the human cerebral cortex. Methods: Digital three-dimensional images of the microvascular network were obtained from thick sections of India ink-injected human brain by confocal laser microscopy covering a large zone of secondary cortex. A novel segmentation method was used to extract the skeleton and measure the diameter at every vertex. Results: In this paper, we focus on the topology of the cortical tree-like vessels. Using stem-crown decomposition, power-scaling laws were shown to govern the relationships between integrated parameters, such as the distal cumulative length, volume, or normalized flow. This led us toward an experimental confirmation of the allometric equation between mass and metabolic rate. Inversely, the power-law model did not match the relationships between local parameters, such as diameter, and integrated ones. As a consequence, Murray's law did not appropriately model the architecture of cerebrovascular bifurcations. Conclusions: This study provides a unique, large database and mathematical characterization that may prove valuable for modeling the cerebral.