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Table 1 Final estimated Windkessel parameters

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 (no P) 0.844 0.432 0.358 0.500 0.480 0.693 0.775 0.302 0.308
 % error 7.83% 5.64% 10.31% 7.78% 3.38% 4.96% 1.84% 2.98% 4.16%
 B (1 P) 0.843 0.431 0.354 0.498 0.475 0.690 0.765 0.302 0.308
 % error 7.73% 5.38% 9.26% 7.23% 2.44% 4.54% 0.50% 2.91% 4.13%
 C (all P) 0.829 0.425 0.340 0.480 0.463 0.679 0.739 0.302 0.308
 % error 5.88% 3.76% 4.73% 3.40% 0.12% 2.97% 2.87% 2.85% 4.02%
\(R_2\) (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 (no P) 0.598 1.157 1.444 1.018 1.034 0.714 0.629 1.652 1.627
 % error − textbf4.93% − 3.76% − 4.83% − 3.94% − 2.55% − 4.29% − 2.78% 1.57% 2.22%
 B (1 P) 0.615 1.194 1.507 1.055 1.073 0.736 0.650 1.706 1.680
 % error − 2.17% − 0.65% − 0.70% − 0.47% 1.18% − 1.34% 0.47% 1.61% 0.97%
 C (all P) 0.625 1.219 1.539 1.079 1.096 0.748 0.659 1.733 1.708
 % error − 0.59% 1.38% 1.46% 1.77% 3.31% 0.29% 1.83% 3.27% 2.67%
\(R_1\) (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 (no P) 0.137 0.144 0.306 0.290 0.288 0.147 0.253 0.114 0.128
 % error 0.32% 5.21% 14.05% 3.89% 3.28% 0.05% 2.62% 6.25% 4.71%
 B (1 P) 0.137 0.144 0.306 0.290 0.288 0.148 0.252 0.114 0.127
 % error 0.04% 4.67% 14.00% 3.83% 3.28% 0.40% 2.43% 5.90% 4.42%
 C (all P) 0.135 0.141 0.302 0.287 0.286 0.148 0.248 0.111 0.125
 % error − 1.27% 2.77% 12.31% 2.59% 2.56% 0.68% 0.83% 3.69% 2.56%
  1. Case A has no pressure data, Case B has pressure data only in the left carotid artery, and Case C has pressure data at all nine outlets of the model (c.f. Fig. 8). See Fig. 9 for the parameter evolution in each case. Errors less than 5% in absolute value are highlighted in bold; those less than 2.5% are shown in italic