Investigating Murray's law in the chick embryo

被引:40
作者
Taber, LA
Ng, S
Quesnel, AM
Whatman, J
Carmen, CJ
机构
[1] Washington Univ, Dept Biomed Engn, St Louis, MO 63130 USA
[2] Univ Rochester, Dept Mech Engn, Rochester, NY 14627 USA
关键词
Murray's law; blood vessel geometry; vasculogenesis;
D O I
10.1016/S0021-9290(00)00173-1
中图分类号
Q6 [生物物理学];
学科分类号
071011 ;
摘要
According to the optimization principle known as Murray's law, the blood vessel geometry at a bifurcation satisfies the relation alpha = (D-1(3) + D-2(3))/D-0(3) = 1, where D-0, D-1, and D-2 are the diameters of the parent and two daughter vessels, respectively. Previous investigations have shown that mature blood vessels adhere to this law fairly closely. The purpose of this study was to test Murray's law in the developing extraembryonic blood vessels of 2-4 day-old chick embryos. Vessel diameters were measured manually using image analysis software. The measurements for the group of all vessels at all studied stages (n = 449) gave alpha = 1.01 +/- 0.34 (mean +/- SD), and the value of alpha is Similar at all stages. These results indicate that Murray's law holds in the chick embryo, even before medial smooth muscle becomes functional, suggesting that blood vessels follow the same basic morphogenetic rules throughout life. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:121 / 124
页数:4
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