The question of fractal properties of arterial trees is considered in light of data from the extensive tree structure of the right coronary artery of a human heart. Because of the highly non-uniform structure of this tree, the study focuses on the purely geometrical rather than statistical aspects o
Scaling Properties of the Placenta's Arterial Tree
β Scribed by Dan L. Bergman; Ulla Ullberg
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 256 KB
- Volume
- 193
- Category
- Article
- ISSN
- 0022-5193
No coin nor oath required. For personal study only.
β¦ Synopsis
The purpose of the present work is to establish a basic knowledge about the scaling properties of the placenta's 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 results 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 tree's morphology.
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