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Table 3 Estimated Windkessel parameters (at the end of two cardiac cycles) in the cases with an initial error in the pressure field (corresponding to Fig. 10).

From: A flexible framework for sequential estimation of model parameters in computational hemodynamics

Outlet 1 2 3 4 5 6 7 8 9
C (\(\hbox {mm}^3\)/Pa)
 True values 0.783 0.409 0.324 0.464 0.464 0.660 0.761 0.293 0.296
 A-PE (no P) 0.800 0.422 0.333 0.481 0.485 0.683 0.793 0.304 0.309
 % error 2.20% 3.19% 2.72% 3.56% 4.63% 3.56% 4.25% 3.85% 4.40%
 B-PE (1 P) 0.833 0.431 0.331 0.479 0.480 0.683 0.763 0.305 0.309
 % error 6.39% 5.25% 1.92% 3.15% 3.52% 3.56% 0.27% 4.01% 4.57%
\(R_2\) (Pa s/\(\hbox {mm}^3\))
 True values 0.629 1.202 1.517 1.060 1.061 0.746 0.647 1.679 1.664
 A-PE (no P) 0.478 0.938 1.165 0.796 0.799 0.568 0.468 1.336 1.322
 % error − 24.0% − 22.0% − 23.2% − 24.9% − 24.7% − 23.8% − 27.6% − 20.4% − 20.6%
 B-PE (1 P) 0.621 1.200 1.535 1.064 1.069 0.749 0.649 1.707 1.693
 % error − 1.27% − 0.15% 1.18% 0.41% 0.77% 0.39% 0.41% 1.67% 1.75%
\(R_1\) (Pa s/\(\hbox {mm}^3\))
 True values 0.137 0.137 0.269 0.279 0.279 0.147 0.246 0.107 0.122
 A-PE (no P) 0.137 0.136 0.263 0.273 0.273 0.143 0.240 0.108 0.122
 % error 0.32% − 0.75% − 2.21% − 2.35% − 2.16% − 2.69% − 2.66% 0.26% − 0.20%
 B-PE (1 P) 0.143 0.142 0.278 0.285 0.286 0.153 0.255 0.116 0.130
 % error 4.90% 3.59% 3.53% 2.18% 2.73% 4.14% 3.39% 7.67% 6.58%
  1. Cases A-PE and B-PE are identical to Cases A and B of Table 1 respectively, except for the introduction of an initial error in the pressure field. Errors less than 5% in absolute value are highlighted in bold; those less than 2.5% are shown in italic