Investigating Murrays law in the chick embryo

According to the optimization principle known as Murrayʹs law, the blood vessel geometry at a bifurcation satisfies the relation alpha =(D13+D23)/D03=1, where D0, D1, and D2 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 Murrayʹs 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 Murrayʹs 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.