Beyond the principle of similitude: renormalization in the bronchial tree
- 1 March 1986
- journal article
- research article
- Published by American Physiological Society in Journal of Applied Physiology
- Vol. 60 (3), 1089-1097
- https://doi.org/10.1152/jappl.1986.60.3.1089
Abstract
The average dimensions (diameter, length, and volume) of the airways in the mammalian bronchial tree, long thought to be exponential functions of the generation number, are shown to be power laws in generation number modulated by a harmonic variation. These data are satisfactorily described by means of a functional scaling relation--renormalization group property--between successive generations for the average variable of interest. This type of scaling may provide a mechanism for the morphogenesis of complex but highly stable structures.This publication has 2 references indexed in Scilit:
- Functional consequences of airway morphology.Journal of Applied Physiology, 1968
- Architecture of the Human LungScience, 1962