The influence of boundary conditions on wall shear stress distribution in patients specific coronary trees

Alina G. van der Giessen, Harald C. Groen, Pierre André Doriot, Pim J. de Feyter, Antonius F.W. van der Steen, Frans N. van de Vosse, Jolanda J. Wentzel, Frank J.H. Gijsen

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Abstract

Patient specific geometrical data on human coronary arteries can be reliably obtained multislice computer tomography (MSCT) imaging. MSCT cannot provide hemodynamic variables, and the outflow through the side branches must be estimated. The impact of two different models to determine flow through the side branches on the wall shear stress (WSS) distribution in patient specific geometries is evaluated. Murray's law predicts that the flow ratio through the side branches scales with the ratio of the diameter of the side branches to the third power. The empirical model is based on flow measurements performed by Doriot et al. (2000) in angiographically normal coronary arteries. The fit based on these measurements showed that the flow ratio through the side branches can best be described with a power of 2.27. The experimental data imply that Murray's law underestimates the flow through the side branches. We applied the two models to study the WSS distribution in 6 coronary artery trees. Under steady flow conditions, the average WSS between the side branches differed significantly for the two models: the average WSS was 8% higher for Murray's law and the relative difference ranged from -5% to +27%. These differences scale with the difference in flow rate. Near the bifurcations, the differences in WSS were more pronounced: the size of the low WSS regions was significantly larger when applying the empirical model (13%), ranging from -12% to +68%. Predicting outflow based on Murray's law underestimates the flow through the side branches. Especially near side branches, the regions where atherosclerotic plaques preferentially develop, the differences are significant and application of Murray's law underestimates the size of the low WSS region.

Original languageEnglish
Pages (from-to)1089-1095
Number of pages7
JournalJournal of Biomechanics
Volume44
Issue number6
DOIs
Publication statusPublished - 7 Apr 2011

Fingerprint

Stress concentration
Shear stress
Coronary Vessels
Boundary conditions
Tomography
Atherosclerotic Plaques
Hemodynamics
Flow measurement
Steady flow
Flow rate
Imaging techniques
Geometry

Keywords

  • Boundary conditions
  • Coronary trees
  • MSCT
  • Wall shear stress

Cite this

van der Giessen, Alina G. ; Groen, Harald C. ; Doriot, Pierre André ; de Feyter, Pim J. ; van der Steen, Antonius F.W. ; van de Vosse, Frans N. ; Wentzel, Jolanda J. ; Gijsen, Frank J.H. / The influence of boundary conditions on wall shear stress distribution in patients specific coronary trees. In: Journal of Biomechanics. 2011 ; Vol. 44, No. 6. pp. 1089-1095.
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The influence of boundary conditions on wall shear stress distribution in patients specific coronary trees. / van der Giessen, Alina G.; Groen, Harald C.; Doriot, Pierre André; de Feyter, Pim J.; van der Steen, Antonius F.W.; van de Vosse, Frans N.; Wentzel, Jolanda J.; Gijsen, Frank J.H.

In: Journal of Biomechanics, Vol. 44, No. 6, 07.04.2011, p. 1089-1095.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Doriot, Pierre André

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