Document Detail


Arterial wall tethering as a distant boundary condition.
MedLine Citation:
PMID:  20365012     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
A standing difficulty in the problem of blood vessel tethering has been that only one of the two required boundary conditions can be fully specified, namely, that at the inner (endothelial) wall surface. The other, at the outer layer of the vessel wall, is not known except in the limiting case where the wall is fully tethered such that its outer layer is prevented from any displacement. In all other cases, where the wall is either free or partially tethered, a direct boundary condition is not available. We present a method of determining this missing boundary condition by considering the limiting case of a semi-infinite wall. The result makes it possible to define the degree of tethering imposed by surrounding tissue more accurately in terms of the displacement of the outer layer of the vessel wall, rather than in terms of equivalent added mass which has been done in the past. This new approach makes it possible for the first time to describe the effect of partial tethering in its full range, from zero to full tethering. The results indicate that high tethering leads to high stresses and low displacements within the vessel wall, while low tethering leads to low stresses and high displacements. Since both extremes would be damaging to wall tissue, particularly elastin, this suggest that moderate tethering would be optimum in the physiological setting.
Authors:
S Hodis; M Zamir
Publication Detail:
Type:  Journal Article     Date:  2009-11-18
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  80     ISSN:  1550-2376     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2009 Nov 
Date Detail:
Created Date:  2010-04-06     Completed Date:  2010-07-14     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  051913     Citation Subset:  IM    
Affiliation:
Department of Applied Mathematics, University of Western Ontario, London, Canada N6A 5B7.
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MeSH Terms
Descriptor/Qualifier:
Animals
Arteries / physiology*
Computer Simulation
Connective Tissue / physiology*
Humans
Models, Cardiovascular*

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