2010
DOI: 10.1002/cnm.1393
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Topological flow structures and stir mixing for steady flow in a peripheral bypass graft with uncertainty

Abstract: SUMMARYWith growing focus on patient-specific studies, little attempt has yet been made to quantify the modelling uncertainty. Here uncertainty in both geometry definition obtained from in vivo magnetic resonance imaging scans and mathematical models for blood are considered for a peripheral bypass graft. The approximate error bounds in computed measures are quantified from the flow field in steady state simulations with rigid walls assumption.A brief outline of the medical image filtering and segmentation pro… Show more

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Cited by 13 publications
(9 citation statements)
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“…It is evident that the average geometries exhibit reduced pressure drops compared to the direct average of the cases; due to the simplified form of the average and not alteration in the nasal valve that are well preserved (as shown in Table 1). The mixing is given as % of the maximum achievable mixing ( [36]). The average wall shear stress is calculated for the middle cavity region (see Figure 1).…”
Section: Average Geometrymentioning
confidence: 99%
See 1 more Smart Citation
“…It is evident that the average geometries exhibit reduced pressure drops compared to the direct average of the cases; due to the simplified form of the average and not alteration in the nasal valve that are well preserved (as shown in Table 1). The mixing is given as % of the maximum achievable mixing ( [36]). The average wall shear stress is calculated for the middle cavity region (see Figure 1).…”
Section: Average Geometrymentioning
confidence: 99%
“…An entropic measure of mixing, discussed in greater depth in [36] and references therein, is used to quantify these differences. In this work this measure is obtained by seeding approximately 40,000 equi-spaced passive particles, with an associated species attribute based on their position at the naris inlet that is given by the distance from the wall.…”
Section: Flow Simulationmentioning
confidence: 99%
“…The non-planarity and tortuousity of vessels play a determining role in the human arterial system, resulting in a strong influence of the local vessel topology on the flow field [1,2,3,4,5,6]. An abnormal flow field, usually described as complex and disturbed, is often related to the diseased states.…”
Section: Introductionmentioning
confidence: 99%
“…Equation 17 has also been used in quantifying mixing of bypass grafts with an Eulerian approach (advection-diffusion equation) [50]. …”
Section: Mixingmentioning
confidence: 99%