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Convergence, sampling and total order estimator effects on parameter orthogonality in global sensitivity analysis

Fig 4

Convergence and uncertainty of indices associated with the minimum ventricular elastance Emin.

Fig A displays the convergence and uncertainty of the Sobol indices ST calculated on discrete measurements for the 1-chamber model against increasing sample size. Here, the vertical line signifies the chosen sample size for the 1-chamber model at N = 10, 000. Fig B presents the continuous Sobol indices with uncertainty bounds, calculated at a sample size N = 10, 000, on continuous measurements over a single cardiac cycle, for the 1-chamber model. Fig C displays the convergence and uncertainty of ST calculated on discrete measurements for the 2-chamber model against increasing sample size. Again, the vertical line signifies the chosen sample size for this model, at N = 20, 000. Fig D shows the continuous Sobol indices with uncertainty bounds for N = 20, 000, on continuous measurements over a single cardiac cycle, for the 2-chamber model. The measurements shown in blue, yellow and green denote the left ventricular pressure, the systemic arterial pressure and the left ventricular volume, respectively. In the discrete settings (i.e., A and C), the measurements are the mean left ventricular pressure, the maximum systemic arterial pressure and the maximum left ventricular volume.

Fig 4

doi: https://doi.org/10.1371/journal.pcbi.1011946.g004