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ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

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patient, flow conditions drive its optimum hepatic factor distribution. However shape<br />

optimization methods help to achieve such optimum [15]. The non-intuitive interplay of<br />

geometry and hemodynamics requires patient specific optimization of the Fontan<br />

design. The results suggest that such optimization might be facilitated by a careful<br />

choice of the anastomosis for the SVC-PA junction in the Glenn procedure, especially<br />

for highly uneven pulmonary flow splits.<br />

Figure 1: For the five patients, streamline representation of the flow at peak deceleration zoomed at<br />

the anastomosis and the full Glenn models used for simulations. Flow splits to the right lung are<br />

from left to right [0.6 0.5 0.6 0.8 0.7]. Lower right: example of Fontan virtual Y-design with<br />

particles assessing hepatic factors distribution to the left and right lungs.<br />

5. DISCUSSION<br />

5.1 Sensitivity to input data<br />

Since the boundary conditions are constructed based on a combination of measurements<br />

and models, sensitivity of the results to these input data is an important validation step.<br />

However little work has been done in this area, apart from inflow studies (on pulsatility<br />

or velocity profiles – e.g. [16]). In [10] the location of the pressure measurement and the<br />

downstream capacitances were varied when constructing the two pulmonary boundary<br />

conditions of a patient-specific Glenn case, without much influence on the resulting<br />

resistance of the pulmonary arteries and pulmonary flow waveforms, respectively. In<br />

[12], the sensitivity of patient-specific simulations to hemodynamics input data was<br />

systematically investigated: with only small variations of input parameters, some output<br />

indicators (such as power loss or wall shear stress) varied non-negligibly. Efficiency<br />

was found to be an indicator more sensitive than power loss to pressure uncertainties.<br />

However, power loss was less sensitive to the power law relating cross-sectional area of<br />

a branch and its mean flow rate than to flow split variation between right and left lungs.<br />

To lower output uncertainties, more precision in the flow split acquisition would thus be<br />

expected to be more important than to further refine the repartition of flow in the<br />

smaller branches. The study suggested that ±10% flow split imprecision seemed<br />

reasonable in terms of patient comparison but that the patient-specific flow split should<br />

be used (fig.1). This sensitivity to the flow split was thus investigated when comparing

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