Document Detail

Flow-induced deformation from pressurized cavities in absorbing porous tissues.
MedLine Citation:
PMID:  1515872     Owner:  NLM     Status:  MEDLINE    
The behaviour of a cavity during an injection of fluid into biological tissue is considered. High cavity pressure drives fluid into the neighbouring tissue where it is absorbed by capillaries and lymphatics. The tissue is modelled as a nonlinear deformable porous medium with the injected fluid absorbed by the tissue at a rate proportional to the local pressure. A model with a spherical cavity in an infinite medium is used to find the pressure and displacement of the tissue as a function of time and radial distance. Analytical and numerical solutions for a step change in cavity pressure show that the flow induces a radial compression in the medium together with an annular expansion, the net result being an overall expansion of the medium. Thus any flow induced deformation of the material will aid in the absorption of fluid.
S I Barry; G K Aldis
Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't    
Journal Detail:
Title:  Bulletin of mathematical biology     Volume:  54     ISSN:  0092-8240     ISO Abbreviation:  Bull. Math. Biol.     Publication Date:  1992 Nov 
Date Detail:
Created Date:  1992-10-08     Completed Date:  1992-10-08     Revised Date:  2006-11-15    
Medline Journal Info:
Nlm Unique ID:  0401404     Medline TA:  Bull Math Biol     Country:  UNITED STATES    
Other Details:
Languages:  eng     Pagination:  977-97     Citation Subset:  IM    
Mathematics Department, University College, University of New South Wales, Canberra, Australia.
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MeSH Terms
Body Fluid Compartments / physiology*
Models, Biological*

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