Document Detail

Intraspecific scaling laws of vascular trees.
MedLine Citation:
PMID:  21676970     Owner:  NLM     Status:  MEDLINE    
A fundamental physics-based derivation of intraspecific scaling laws of vascular trees has not been previously realized. Here, we provide such a theoretical derivation for the volume-diameter and flow-length scaling laws of intraspecific vascular trees. In conjunction with the minimum energy hypothesis, this formulation also results in diameter-length, flow-diameter and flow-volume scaling laws. The intraspecific scaling predicts the volume-diameter power relation with a theoretical exponent of 3, which is validated by the experimental measurements for the three major coronary arterial trees in swine (where a least-squares fit of these measurements has exponents of 2.96, 3 and 2.98 for the left anterior descending artery, left circumflex artery and right coronary artery trees, respectively). This scaling law as well as others agrees very well with the measured morphometric data of vascular trees in various other organs and species. This study is fundamental to the understanding of morphological and haemodynamic features in a biological vascular tree and has implications for vascular disease.
Yunlong Huo; Ghassan S Kassab
Publication Detail:
Type:  Journal Article; Research Support, N.I.H., Extramural; Research Support, Non-U.S. Gov't     Date:  2011-06-15
Journal Detail:
Title:  Journal of the Royal Society, Interface / the Royal Society     Volume:  9     ISSN:  1742-5662     ISO Abbreviation:  J R Soc Interface     Publication Date:  2012 Jan 
Date Detail:
Created Date:  2011-11-23     Completed Date:  2012-08-27     Revised Date:  2013-06-28    
Medline Journal Info:
Nlm Unique ID:  101217269     Medline TA:  J R Soc Interface     Country:  England    
Other Details:
Languages:  eng     Pagination:  190-200     Citation Subset:  IM    
Department of Biomedical Engineering and Surgery, Indiana University Purdue University Indianapolis, Indianapolis, IN 46202, USA.
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MeSH Terms
Coronary Circulation
Coronary Disease / pathology
Coronary Vessels / anatomy & histology*,  metabolism,  physiology
Energy Metabolism
Models, Theoretical*
Swine / anatomy & histology*
Grant Support

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