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Article: A simple model for the two dimensional blood flow in the collapse of veins
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TitleA simple model for the two dimensional blood flow in the collapse of veins
 
AuthorsChow, KW1
Mak, CC1
 
Issue Date2006
 
PublisherSpringer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00285/index.htm
 
CitationJournal Of Mathematical Biology, 2006, v. 52 n. 6, p. 733-744 [How to Cite?]
DOI: http://dx.doi.org/10.1007/s00285-005-0351-5
 
AbstractVeins in the cardiovascular system may collapse if the internal pressure is less than the external pressure. Such collapse or buckling will have important consequence in terms of the rate of blood flow. Here a steady, parallel unidirectional flow as an exact solution of the continuity and the Navier Stokes equations is constructed. Various stages of the deformation process of the elastic tube (before contact of opposite sides occurring), from an ellipse to a 'strongly buckled' configuration, are obtained in analytical forms as a by-product of the calculations. The pressure - area and the pressure - flow rate diagrams computed numerically from the model agree with the trends measured experimentally. © Springer-Verlag 2006.
 
ISSN0303-6812
2013 Impact Factor: 2.388
 
DOIhttp://dx.doi.org/10.1007/s00285-005-0351-5
 
ISI Accession Number IDWOS:000237550600002
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorChow, KW
 
dc.contributor.authorMak, CC
 
dc.date.accessioned2010-09-06T07:17:06Z
 
dc.date.available2010-09-06T07:17:06Z
 
dc.date.issued2006
 
dc.description.abstractVeins in the cardiovascular system may collapse if the internal pressure is less than the external pressure. Such collapse or buckling will have important consequence in terms of the rate of blood flow. Here a steady, parallel unidirectional flow as an exact solution of the continuity and the Navier Stokes equations is constructed. Various stages of the deformation process of the elastic tube (before contact of opposite sides occurring), from an ellipse to a 'strongly buckled' configuration, are obtained in analytical forms as a by-product of the calculations. The pressure - area and the pressure - flow rate diagrams computed numerically from the model agree with the trends measured experimentally. © Springer-Verlag 2006.
 
dc.description.naturelink_to_subscribed_fulltext
 
dc.identifier.citationJournal Of Mathematical Biology, 2006, v. 52 n. 6, p. 733-744 [How to Cite?]
DOI: http://dx.doi.org/10.1007/s00285-005-0351-5
 
dc.identifier.doihttp://dx.doi.org/10.1007/s00285-005-0351-5
 
dc.identifier.epage744
 
dc.identifier.hkuros109075
 
dc.identifier.isiWOS:000237550600002
 
dc.identifier.issn0303-6812
2013 Impact Factor: 2.388
 
dc.identifier.issue6
 
dc.identifier.openurl
 
dc.identifier.pmid16699834
 
dc.identifier.scopuseid_2-s2.0-33646698435
 
dc.identifier.spage733
 
dc.identifier.urihttp://hdl.handle.net/10722/76047
 
dc.identifier.volume52
 
dc.languageeng
 
dc.publisherSpringer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00285/index.htm
 
dc.publisher.placeGermany
 
dc.relation.ispartofJournal of Mathematical Biology
 
dc.relation.referencesReferences in Scopus
 
dc.subject.meshBlood Flow Velocity - physiology
 
dc.subject.meshHumans
 
dc.subject.meshModels, Cardiovascular
 
dc.subject.meshVascular Diseases - physiopathology
 
dc.subject.meshVeins - physiopathology
 
dc.titleA simple model for the two dimensional blood flow in the collapse of veins
 
dc.typeArticle
 
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Author Affiliations
  1. The University of Hong Kong