Leaflet Lengths and Commissural Dimensions as the Primary Determinants of Orifice Area in Mitral Regurgitation: A Sobol Sensitivity Analysis

Figures

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  Figure 1. MV leaflet geometry and the 12 key characteristic parameters.

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  Figure 2. Manual segmentation of mitral valve and identifying landmark points which quantify influential geometric parameters. ALC-PMC quantifies intercommissural diameter and distances AX and PX approximately quantify anterior leaflet length and posterior leaflet length.

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  Figure 3. Applied pressure profile throughout the time and corresponding leaflet geometry for systole and diastole phase.

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  Figure 4. MV at mid-systole from top-view (left) and mid-cross section of the anterior and posterior leaflets (right).

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  Figure 5. R2 and MAPE results on GP regression (left) and linear regression (right) associated with one experiment of 5 random splits of train and test samples.

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  Figure 6. Result of Sobol sensitivity analysis on effect of geometric parameters on orifice area. InterCommissural diameter, Posterior length, Anterior length, and Commissure length are identified as the most important descriptors of mitral valve geometry.

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  Figure 7. Probability density function for (1) ground truth orifice are (2) orifice area from GP regressor with all 12 parameters varying and (3) orifice area from GP regressor with only 4 influential parameters varying. The total variation distance between these distributions is deemed to be small which indicates that using only 4 influential parameters would be sufficient to describe geometry of mitral valve for predicting the orifice area.