Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/122521
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Type: Journal article
Title: Blood flow rate and wall shear stress in seven major cephalic arteries of humans
Author: Seymour, R.S.
Hu, Q.
Snelling, E.P.
Citation: Journal of Anatomy, 2020; 236(3):522-530
Publisher: Wiley
Issue Date: 2020
ISSN: 0021-8782
1469-7580
Statement of
Responsibility: 
Roger S. Seymour Qiaohui Hu Edward P. Snelling
Abstract: Blood flow rate ( Q˙ ) in relation to arterial lumen radius (ri ) is commonly modelled according to theoretical equations and paradigms, including Murray's Law ( Q˙ ∝ ri3 ) and da Vinci's Rule ( Q˙ ∝ ri2 ). Wall shear stress (τ) is independent of ri with Murray's Law (τ ∝  ri0 ) and decreases with da Vinci's Rule (τ ∝  ri-1 ). These paradigms are tested empirically with a meta-analysis of the relationships between Q˙ and ri in seven major arteries of the human cephalic circulation from 19 imaging studies in which both variables were presented. The analysis shows that Q˙ ∝ ri2.16 and τ ∝  ri-1.02 , more consistent with da Vinci's Rule than Murray's Law. This meta-analysis provides standard values for Q˙ , ri and τ in the human cephalic arteries that may be a useful baseline in future investigations. On average, the paired internal carotid arteries supply 75%, and the vertebral arteries supply 25%, of total brain blood flow. The internal carotid arteries contribute blood entirely to the anterior and middle cerebral arteries and also partly to the posterior cerebral arteries via the posterior communicating arteries of the circle of Willis. On average, the internal carotid arteries provide 88% of the blood flow to the cerebrum and the vertebral arteries only 12%.
Keywords: Murray’s Law
artery
brain
cardiovascular
cerebral
da Vinci’s Rule
Rights: © 2019 Anatomical Society
DOI: 10.1111/joa.13119
Grant ID: http://purl.org/au-research/grants/arc/DP170104952
Published version: http://dx.doi.org/10.1111/joa.13119
Appears in Collections:Aurora harvest 4
Physiology publications

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