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Article: A simple model for the two dimensional blood flow in the collapse of veins

TitleA simple model for the two dimensional blood flow in the collapse of veins
Authors
Issue Date2006
PublisherSpringer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00285/index.htm
Citation
Journal Of Mathematical Biology, 2006, v. 52 n. 6, p. 733-744 How to Cite?
Abstract
Veins 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.
Persistent Identifierhttp://hdl.handle.net/10722/76047
ISSN
2013 Impact Factor: 2.388
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChow, KWen_HK
dc.contributor.authorMak, CCen_HK
dc.date.accessioned2010-09-06T07:17:06Z-
dc.date.available2010-09-06T07:17:06Z-
dc.date.issued2006en_HK
dc.identifier.citationJournal Of Mathematical Biology, 2006, v. 52 n. 6, p. 733-744en_HK
dc.identifier.issn0303-6812en_HK
dc.identifier.urihttp://hdl.handle.net/10722/76047-
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.en_HK
dc.languageengen_HK
dc.publisherSpringer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00285/index.htmen_HK
dc.relation.ispartofJournal of Mathematical Biologyen_HK
dc.subject.meshBlood Flow Velocity - physiologyen_HK
dc.subject.meshHumansen_HK
dc.subject.meshModels, Cardiovascularen_HK
dc.subject.meshVascular Diseases - physiopathologyen_HK
dc.subject.meshVeins - physiopathologyen_HK
dc.titleA simple model for the two dimensional blood flow in the collapse of veinsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0303-6812&volume=52&spage=733&epage=744&date=2006&atitle=A+simple+model+for+the+two+dimensional+blood+flow+in+the+collapse+of+veinsen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s00285-005-0351-5en_HK
dc.identifier.pmid16699834en_HK
dc.identifier.scopuseid_2-s2.0-33646698435en_HK
dc.identifier.hkuros109075en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33646698435&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume52en_HK
dc.identifier.issue6en_HK
dc.identifier.spage733en_HK
dc.identifier.epage744en_HK
dc.identifier.isiWOS:000237550600002-
dc.publisher.placeGermanyen_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK
dc.identifier.scopusauthoridMak, CC=36912196900en_HK

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