Beyond the principle of similitude: renormalization in the bronchial tree.

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.

050100'89'92'95'98'01'04'07'10'13'16
Citations per Year

465 Citations

Semantic Scholar estimates that this publication has 465 citations based on the available data.

See our FAQ for additional information.

Cite this paper

@article{West1986BeyondTP, title={Beyond the principle of similitude: renormalization in the bronchial tree.}, author={B J West and V Bhargava and A L Goldberger}, journal={Journal of applied physiology}, year={1986}, volume={60 3}, pages={1089-97} }