Table 3 Parameter estimates for the eight subjects included in the study. Values are given as mean ± standard error, unless otherwise stated.

From: Bridging the gap between measurements and modelling: a cardiovascular functional avatar

Parameter

Description (units)

Literature values

Estimated values (n = 8)

Pulmonary venous system

Ppu

Pulmonary capillary pressure (mmHg)

7.4 (Sun et al.14)

10.8 ± 0.68

Rpva

Resistance of pulmonary veins (mmHg·s/mL)

2·10−3 (Sun et al.14)

2·10−3

Lpva

Inertance of pulmonary veins (mmHg· s2/mL)

5·10−4 (Sun et al.14)

5·10−4

Rpvca

Viscoelastic resistance of pulmonary capillaries and veins (mmHg·s/mL)

0.01 (Sun et al.14)

0.01

Cpvca

Capacitance of pulmonary capillaries and veins (mL/mmHg)

4 (Sun et al.14)

4

Rpua

Resistance of pulmonary capillaries (mmHg·s/mL)

0.01 (Sun et al.14)

0.01

Heart parameters

Left atrium (LA)

Ks,LA

Source resistance coefficient of the LA (s/mL)

10·10−9 (Mynard et al.15)

12.26·10−9 ± 1.92·10−9

Emin,LA

Minimal elastance of the LA (mmHg/mL)

0.08 (Mynard et al.15)

0.11 ± 3.5·10−3

Emax,LA

Maximal elastance of the LA (mmHg/mL)

0.17 (Mynard et al.15)

0.15 ± 7.1·10−3

V0,LA

Unstressed volume of the LA (mL)

3 (Mynard et al.15)

2.68 ± 0.43

m1,LA

Contraction rate constant of the LA (−)

1.32 (Mynard et al.15)

1.22 ± 0.14

m2,LA

Relaxation rate constant of the LA (−)

13.1 (Mynard et al.15)

12.9 ± 1.96

α1,LA

Systolic time constant of the LA (−)

0.11 (Mynard et al.15)

0.1 ± 0.04

α2,LA

Diastolic time constant of the LA (−)

0.18 (Mynard et al.15)

0.2 ± 0.02

Rvisc,LA

Viscous loss resistance for the LA (mmHg·s/mL)

1·10−4 (Mynard et al.15)

1.37·10−4 ± 1.77·10−5

OnsetLA

Onset of contraction of the LA (s)

0.85 (Mynard et al.15)

0.8 ± 0.01

Left ventricle (LV)

Ks,LV

Source resistance coefficient of the LV (s/mL)

4·10−9 (Mynard et al.15)

2.93·10−9 ± 4.35·10−10

Emin,LV

Minimal elastance of the LV (mmHg/mL)

0.08 (Mynard et al.15)

0.09 ± 7.1·10−3

Emax,LV

Maximal elastance of the LV (mmHg/mL)

3 (Mynard et al.15)

1.97 ± 0.17

V0,LV

Unstressed volume of the LV (mL)

10 (Mynard et al.15)

11.46 ± 2.03

m1,LV

Contraction rate constant of the LV (−)

1.32 (Mynard et al.15)

1.67 ± 0.12

m2,LV

Relaxation rate constant of the LV (−)

27.4 (Mynard et al.15)

33.92 ± 1.2

α1,LV

Systolic time constant of the LV (−)

0.269 (Mynard et al.15)

0.4 ± 0.03

α2,LV

Diastolic time constant of the LV (−)

0.452 (Mynard et al.15)

0.42 ± 0.01

Rvisc,LV

Viscous loss resistance for the LV (mmHg·s/mL)

1·10−4 (Mynard et al.15)

1.69·10−4 ± 1.62·10−5

OnsetLV

Onset of contraction of the LV (s)

0 (Mynard et al.15)

−0.04 ± 8.8·10−3

Mitral valve

Rmv

Resistance of the mitral valve (mmHg·s/mL)

3.75·10−3 (Sun et al.14)

4.52·10−3  ± 7.46·10−4

Lmv

Inertance of the mitral valve (mmHg·s2/mL)

2·10−4 (Sun et al.14)

7·10−4 ± 4.6·10−5

Aortic valve

EOAav

Effective orifice area of the aortic valve (cm2)

1.69 (Garcia et al.16)

2.65 ± 0.54

Aao

Cross sectional area of the aorta (cm2)

5 (Olufsen et al.62)

6.09 ± 1.27

Lav

Inertance of the aortic valve (mmHg· s2/mL)

4·10−4 (Sun et al.14)

2.74·10−4 ± 4.6·10−4

Systemic arterial system

Raa

Resistance of the ascending aorta (mmHg·s/mL)

0.04 (Sun et al.14), 0.02 (Liang et al.17),

0.06 ± 0.03

Laa

Inertance of the ascending aorta (mmHg· s2/mL)

5·10−4 (Sun et al.14), 1.2·10−3 (Broome et al.18)

1.01·10−4 ± 1.06·10−6

Raav

Viscoelastic resistance for Caa (mmHg·s/mL)

0.01 (Sun et al.14)

6.11·10−3 ± 1.8·10−3

Caa

Capacitance of the ascending aorta (mL/mmHg)

0.1 (Sun et al.14), 0.16 (Broome et al.18)

0.13 ± 0.01

Rpsa

Proximal peripheral resistance for the supra aortic vessels (mmHg·s/mL)

0.05 ± 3.5·10−3

Rdsa

Distal peripheral resistance for the supra aortic vessels (mmHg·s/mL)

3.9 (Heldt et al.19)

3.47 ± 0.56

Cpsa

Peripheral compliance for the supra aortic vessels (mL/mmHg)

0.6 (Liang et al.17)

0.49 ± 0.03

Rpia

Proximal peripheral resistance for the intercostal arteries (mmHg·s/mL)

0.05 ± 3.5·10−3

Cpia

Peripheral compliance for the intercostal arteries (mL/mmHg)

0.93 (Liang et al.17)

0.13 ± 0.03

Rdia

Distal peripheral resistance for the intercostal arteries (mmHg·s/mL)

3 (Heldt et al.19)

8.37 ± 1.18

Rda

Resistance of the abdominal aorta (mmHg·s/mL)

0.04 (Sun et al.14) 0.02 (Liang et al.17)

0.07 ± 0.01

Lda

Inertance of the abdominal aorta (mmHg· s2/mL)

5·10−4 (Sun et al.14), 1.6·10−3 (Broome et al.18)

1.7·10−3 ± 3.46·10−4

Rdav

Viscoelastic resistance for Cda (mmHg·s/mL)

0.01

5.83·10−3 ± 6.36·10−4

Cda

Capacitance of the abdominal aorta (mL/mmHg)

0.1 (Sun et al.14), 0.28 (Broome et al.18)

0.24 ± 0.04

Rpda

Proximal peripheral resistance (mmHg·s/mL)

0.05 ± 6.4·10−3

Rdda

Distal peripheral resistance (mmHg·s/mL)

1.2 (Sun et al.14), 1.31 (Broome et al.18)

0.91 ± 0.05

Cda

Peripheral compliance (mL/mmHg)

2(Sun et al.14)

0.96 ± 0.11

Other parameters

Tb

Duration of the cardiac cycle (s)

0.9 ± 0.05

ρ

Density of blood (g/mL)

1.06

1.06

  1. aParameter values were assigned according to literature14.