Scaling Properties of the Placentaʹs Arterial Tree

The purpose of the present work is to establish a basic knowledge about the scaling properties of the placentaʹs arterial tree. For this end we have analysed X-ray angiograms of 22 normal arterial trees by box counting. All the investigated arterial trees scale closely according to a power-law over a one decade wide range of scales. Perfectly self-similar fractals, of the same resolution as our representation of the arterial tree, do not follow a power-law more closely. The result support the hypothesis that a mechanism or rule—as regular as those which dictate the structure of perfectly self-similar fractals—also determines fundamental aspects of the arterial treeʹs morphology.