Document Detail


Energetic and spatial constraints of arterial networks.
MedLine Citation:
PMID:  7487549     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
The principle of minimum work (PMW) is a parametric optimization model for the growth and adaptation of arterial trees. A balance between energy dissipation due to frictional resistance of laminar flow (shear stress) and the minimum volume of the blood and vessel wall tissue is achieved when the vessel radii are adjusted to the cube root of the volumetric flow. The PMW is known to apply over several magnitudes of vessel calibers, and in many different organs, including the brain, in humans and in animals. Animal studies suggest that blood flow in arteries is approximately proportional to the cube of the vessel radius, and that arteries alter their caliber in response to sustained changes of blood flow according to PMW. Remodelling of the retinal arteriolar network to long-term changes in blood flow was observed in humans. Remodelling of whole arterial networks occurs in the form of increase or diminishing of vessel calibers. Shear stress induced endothelial mediation seems to be the regulating mechanism for the maintenance of this optimum blood flow/vessel diameter relation. Arterial trees are also expected to be nearly space filing. The vascular system is constructed in such a way that, while blood vessels occupy only a small percentage of the body volume leaving the bulk to tissue, they also crisscross organs so tightly that every point in the tissue lies on the boundary between an artery and a vein. This review describes how the energetic optimum principle for least energy cost for blood flow is also compatible with the spatial constraints of arterial networks according to concepts derived from fractal geometry.
Authors:
S Rossitti
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Publication Detail:
Type:  Journal Article; Review    
Journal Detail:
Title:  Arquivos de neuro-psiquiatria     Volume:  53     ISSN:  0004-282X     ISO Abbreviation:  Arq Neuropsiquiatr     Publication Date:  1995 Jun 
Date Detail:
Created Date:  1995-12-12     Completed Date:  1995-12-12     Revised Date:  2009-11-11    
Medline Journal Info:
Nlm Unique ID:  0125444     Medline TA:  Arq Neuropsiquiatr     Country:  BRAZIL    
Other Details:
Languages:  eng     Pagination:  333-41     Citation Subset:  IM    
Affiliation:
Department of Clinical Neurosciences, Göteborg University, Sweden.
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MeSH Terms
Descriptor/Qualifier:
Animals
Cerebral Arteries* / physiology
Fractals
Humans
Intracranial Aneurysm / physiopathology*
Models, Cardiovascular*

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