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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