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
2011 Impact Factor: 2.963
2011 SCImago Journal Rankings: 0.240
DOIhttp://dx.doi.org/10.1007/s00285-005-0351-5
ISI Accession Number IDWOS:000237550600002
ReferencesReferences in Scopus
DC Field
Value
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
2011 Impact Factor: 2.963
2011 SCImago Journal Rankings: 0.240
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
Author Affiliations
  1. The University of Hong Kong