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

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 t...

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Bibliographic Details
Published in:Journal of biomechanics 2011-04, Vol.44 (6), p.1089-1095
Main Authors: 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
Format: Article
Language:English
Subjects:
Arteries
Atherosclerosis
Biological and medical sciences
Biomechanics. Biorheology
Blood Flow Velocity
Boundary conditions
Coronary trees
Coronary vessels
Coronary Vessels - anatomy & histology
Coronary Vessels - physiopathology
Female
Fundamental and applied biological sciences. Psychology
Geometry
Hemodynamics
Hemodynamics. Rheology
Humans
Law
Male
Mathematical analysis
Mathematical models
Models, Cardiovascular
MSCT
Outflow
Patients
Physical Medicine and Rehabilitation
Reynolds number
Shear stress
Stress concentration
Stress, Physiological - physiology
Tissues, organs and organisms biophysics
Trees
Vertebrates: cardiovascular system
Wall shear stress
Wall shear stresses
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Summary: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.
ISSN:0021-9290
1873-2380
DOI:10.1016/j.jbiomech.2011.01.036