Document Detail


A scaling law of vascular volume.
MedLine Citation:
PMID:  19167288     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
Vascular volume is of fundamental significance to the function of the cardiovascular system. An accurate prediction of blood volume in patients is physiologically and clinically significant. This study proposes what we believe is a novel volume scaling relation of the form: V(c)=K(v)D(s)(2/3)L(c), where V(c) and L(c) are cumulative vessel volume and length, respectively, in the tree, and D(s) is the diameter of the vessel segment. The scaling relation is validated in vascular trees of various organs including the heart, lung, mesentery, muscle, and eye of different species. Based on the minimum energy hypothesis and volume scaling relation, four structure-function scaling relations are predicted, including the diameter-length, volume-length, flow-diameter, and volume-diameter relations, with exponent values of 3/7, 1(2/7), 2(1/3), and 3, respectively. These four relations are validated in the various vascular trees, which further confirm the volume scaling relation. This scaling relation may serve as a control reference to estimate the blood volume in various organs and species. The deviation from the scaling relation may indicate hypovolemia or hypervolemia and aid diagnosis.
Authors:
Yunlong Huo; Ghassan S Kassab
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Publication Detail:
Type:  Journal Article; Research Support, N.I.H., Extramural; Research Support, Non-U.S. Gov't    
Journal Detail:
Title:  Biophysical journal     Volume:  96     ISSN:  1542-0086     ISO Abbreviation:  Biophys. J.     Publication Date:  2009 Jan 
Date Detail:
Created Date:  2009-01-26     Completed Date:  2009-02-24     Revised Date:  2010-09-23    
Medline Journal Info:
Nlm Unique ID:  0370626     Medline TA:  Biophys J     Country:  United States    
Other Details:
Languages:  eng     Pagination:  347-53     Citation Subset:  IM    
Affiliation:
Department of Biomedical Engineering, Surgery, and Cellular and Integrative Physiology, Indiana University-Purdue University Indianapolis, Indianapolis, Indiana, USA.
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MeSH Terms
Descriptor/Qualifier:
Algorithms*
Animals
Blood Vessels / anatomy & histology
Blood Volume*
Blood Volume Determination / methods
Cats
Coronary Vessels / physiology
Cricetinae
Eye / blood supply
Humans
Models, Cardiovascular*
Muscles / blood supply
Pulmonary Circulation
Rabbits
Rats
Splanchnic Circulation
Swine
Grant Support
ID/Acronym/Agency:
2 R01 HL055554-11/HL/NHLBI NIH HHS; HL84529/HL/NHLBI NIH HHS
Comments/Corrections

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