The influence of boundary conditions on wall shear stress distribution in patients specific coronary trees Alina G. van der Giessen, Harald C. Groen,

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Presentation transcript:

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 Journal of Biomechanics Volume 44, Issue 6, Pages 1089-1095 (April 2011) DOI: 10.1016/j.jbiomech.2011.01.036 Copyright © 2011 Elsevier Ltd Terms and Conditions

Fig. 1 In panel A the segmentation of the coronary arteries is shown in the original MSCT scan. The complete segmented tree can be seen in panel B. This geometry is clipped, panel C, and the in- and outflow tracts are extended with circular tubes to aid the WSS computations. The geometry is divided in segments, panel D. Journal of Biomechanics 2011 44, 1089-1095DOI: (10.1016/j.jbiomech.2011.01.036) Copyright © 2011 Elsevier Ltd Terms and Conditions

Fig. 2 Left: for the analysis of the WSS the side-branches are removed from the geometry. Besides the segments (S), bifurcation regions (B) and non-bifurcation regions (NB) are defined. The inflow segment is labeled as S1. Right: the same regions are now depicted in the 2D WSS map of the same artery. Journal of Biomechanics 2011 44, 1089-1095DOI: (10.1016/j.jbiomech.2011.01.036) Copyright © 2011 Elsevier Ltd Terms and Conditions

Fig. 3 Results of the fitting procedures on data of Doriot et al. (2000). On the left (panel A) the relation between the flow and the diameter of the artery is fitted (Eq. (4)). On the right (panel B) the relation between the flow ratio and diameter ratio of the smaller daughter branch D2 and larger daughter branch D1 is fitted as described by Eq. (5). Journal of Biomechanics 2011 44, 1089-1095DOI: (10.1016/j.jbiomech.2011.01.036) Copyright © 2011 Elsevier Ltd Terms and Conditions

Fig. 4 The geometries in which the WSS for different outflow condition models are computed. Geometries 1–3 are left descending coronary arteries and 4–6 are right coronary arteries. Journal of Biomechanics 2011 44, 1089-1095DOI: (10.1016/j.jbiomech.2011.01.036) Copyright © 2011 Elsevier Ltd Terms and Conditions

Fig. 5 Panel A shows the WSSM mapped into 2D. In panel B the WSSD and panel C the relative difference between the WSSM and WSSD is depicted. It shows that the relative difference is fairly constant outside of the bifurcation regions. In panel D the relative difference in WSS is averaged over the circumference and plotted against the length of the artery, and it demonstrates that the relative difference in WSS is close to the relative difference in flow through the branch. Journal of Biomechanics 2011 44, 1089-1095DOI: (10.1016/j.jbiomech.2011.01.036) Copyright © 2011 Elsevier Ltd Terms and Conditions

Fig. 6 Two examples of the WSS distribution in bifurcation regions. The top panels show the WSS distribution for Doriot's fit, the central panels for Murray's model, and the bottom two panels show the low WSS regions for the two panels. The left column illustrates an example in which the low WSS region is larger when applying Murray's law, and the right column shows a bifurcation region for which the low WSS region is larger when applying Doriot's fit. Journal of Biomechanics 2011 44, 1089-1095DOI: (10.1016/j.jbiomech.2011.01.036) Copyright © 2011 Elsevier Ltd Terms and Conditions