| Intraspecific scaling laws of vascular trees. | |
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MedLine Citation:
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PMID: 21676970 Owner: NLM Status: Publisher |
Abstract/OtherAbstract:
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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. |
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Authors:
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Yunlong Huo; Ghassan S Kassab |
Publication Detail:
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Type: JOURNAL ARTICLE Date: 2011-6-15 |
Journal Detail:
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Title: Journal of the Royal Society, Interface / the Royal Society Volume: - ISSN: 1742-5662 ISO Abbreviation: - Publication Date: 2011 Jun |
Date Detail:
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Created Date: 2011-6-16 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101217269 Medline TA: J R Soc Interface Country: - |
Other Details:
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Languages: ENG Pagination: - Citation Subset: - |
Affiliation:
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Department of Biomedical Engineering and Surgery, and Cellular and Integrative Physiology, Indiana University Purdue University Indianapolis (IUPUI), , Indianapolis, IN 46202, USA. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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