TABLE 2.
Anatomical and physiological data used in the 1D model of the systemic arterial tree, based on magnetic resonance angiography on a healthy female (25 years old, 172 cm, 71 kg).
No | Systemic artery | Mother artery | l (cm) | prox→dist (cm) | R0, R1 (mmHg.s.ml–1) | C1 (ml.mmHg–1) |
1 | Ascending aorta | − | 4.4 | 1.092 → 1.193 | − | − |
2 | Aortic arch I | 1 | 1.0 | 1.157 → 1.072 | − | − |
3 | Brachiocephalic | 1 | 3.7 | 0.881 → 0.296 | − | − |
4 | R. subclavian I | 3 | 2.9 | 0.405 → 0.438 | − | − |
5 | R. carotid | 3 | 10.3 | 0.312 → 0.327 | − | − |
6 | R. vertebral | 4 | 23.4 | 0.249 → 0.148 | 6.10, 27.87 | 0.0126 |
7 | R. subclavian II* | 4 | 39.8 | 0.410 → 0.229 | − | − |
8 | R. radial† | 7 | 22.0 | 0.175 → 0.140 | 14.21, 18.34 | 0.0143 |
9 | R. ulnar I† | 7 | 6.7 | 0.215 → 0.215 | − | − |
10 | R. interosseous† | 9 | 7.0 | 0.100 → 0.100 | 39.43, 424.01 | 0.0009 |
11 | R. ulnar II† | 9 | 17.0 | 0.203 → 0.180 | 10.12, 21.20 | 0.0143 |
12 | R. internal carotid | 5 | 15.8 | 0.268 → 0.162 | 2.53, 25.42 | 0.0148 |
13 | R. external carotid | 5 | 12.0 | 0.204 → 0.109 | 5.23, 23.53 | 0.0148 |
14 | Aortic arch II | 2 | 1.5 | 1.096 → 1.046 | − | − |
15 | L. carotid | 2 | 13.4 | 0.394 → 0.262 | − | − |
16 | L. internal carotid | 15 | 15.1 | 0.262 → 0.175 | 2.53, 25.42 | 0.0148 |
17 | L. external carotid | 15 | 11.4 | 0.177 → 0.103 | 5.23, 23.53 | 0.0148 |
18 | Thoracic aorta I | 14 | 7.9 | 1.078 → 0.850 | − | − |
19 | L. subclavian I | 14 | 5.2 | 0.731 → 0.238 | − | − |
20 | L. vertebral | 19 | 20.8 | 0.173 → 0.164 | 6.10, 27.87 | 0.0126 |
21 | L. subclavian II* | 19 | 39.8 | 0.410 → 0.228 | − | − |
22 | L. radial† | 21 | 22.0 | 0.175 → 0.140 | 14.21, 18.34 | 0.0143 |
23 | L. ulnar I† | 21 | 6.7 | 0.215 → 0.215 | − | − |
24 | L. interosseous† | 23 | 7.0 | 0.100 → 0.100 | 39.43, 424.01 | 0.0009 |
25 | L. ulnar II† | 23 | 17.0 | 0.203 → 0.180 | 10.12, 21.20 | 0.0143 |
26 | Intercostals† | 18 | 7.3 | 0.300 → 0.300 | 2.00, 6.04 | 0.0542 |
27 | Thoracic aorta II | 18 | 15.9 | 0.909 → 0.805 | − | − |
28 | Abdominal aorta I | 27 | 1.3 | 0.815 → 0.790 | − | − |
29 | Celiac I | 27 | 1.8 | 0.614 → 0.233 | − | − |
30 | Celiac II† | 29 | 2.0 | 0.300 → 0.250 | − | − |
31 | Hepatic† | 29 | 6.5 | 0.275 → 0.250 | 2.80, 17.48 | 0.0208 |
32 | Gastric† | 30 | 5.5 | 0.200 → 0.200 | 4.05, 9.59 | 0.0325 |
33 | Splenic† | 30 | 5.8 | 0.175 → 0.150 | 8.59, 22.97 | 0.0139 |
34 | Superior mesenteric | 28 | 12.5 | 0.413 → 0.115 | 1.20, 4.15 | 0.0810 |
35 | Abdominal aorta II | 28 | 0.5 | 0.795 → 0.788 | − | − |
36 | L. renal | 35 | 5.9 | 0.458 → 0.161 | 2.02, 4.64 | 0.0667 |
37 | Abdominal aorta III | 35 | 1.5 | 0.769 → 0.734 | − | − |
38 | R. renal | 37 | 5.0 | 0.424 → 0.215 | 2.02, 4.64 | 0.0667 |
39 | Abdominal aorta IV | 37 | 7.0 | 0.735 → 0.696 | − | − |
40 | Inferior mesenteric | 39 | 3.7 | 0.343 → 0.036 | 5.37, 33.10 | 0.0110 |
41 | Abdominal aorta V | 39 | 2.5 | 0.699 → 0.582 | − | − |
42 | L. common iliac | 41 | 7.6 | 0.461 → 0.374 | − | − |
43 | R. common iliac | 41 | 6.9 | 0.416 → 0.395 | − | − |
44 | L. external iliac | 42 | 13.3 | 0.335 → 0.391 | − | − |
45 | L. internal iliac | 42 | 8.1 | 0.316 → 0.058 | 6.40, 25.28 | 0.0136 |
46 | L. femoral | 44 | 45.0 | 0.312 → 0.256 | − | − |
47 | L. deep femoral | 44 | 20.0 | 0.373 → 0.160 | 4.99, 14.40 | 0.0226 |
48 | L. posterior tibial | 46 | 35.9 | 0.202 → 0.117 | 9.90, 32.78 | 0.0102 |
49 | L. anterior tibial | 46 | 35.9 | 0.139 → 0.109 | 3.96, 15.11 | 0.0226 |
50 | R. external iliac | 43 | 16.2 | 0.321 → 0.451 | − | − |
51 | R. internal iliac | 43 | 9.8 | 0.284 → 0.123 | 6.40, 25.28 | 0.0136 |
52 | R. femoral | 50 | 49.3 | 0.327 → 0.250 | − | − |
53 | R. deep femoral | 50 | 21.6 | 0.482 → 0.160 | 4.99, 14.40 | 0.0226 |
54 | R. posterior tibial | 52 | 27.6 | 0.189 → 0.117 | 9.90, 32.78 | 0.0102 |
55 | R. anterior tibial | 52 | 27.8 | 0.157 → 0.112 | 3.96, 15.11 | 0.0226 |
The reference pressure is assumed to be 70 mmHg. Complete dataset of the segmented arteries, including the evolution of radius, (s), and the position of the centerline, G(s), along each segmented artery, is available as Supplementary Material. l: length of the artery;
prox: radius of the lumen at the proximal end;
dist: radius of the lumen at the distal end; R0, R1: resistances in the arteriolar compartments following terminal arteries (see Equation 19); C1: peripheral compliance associated to the arterioles. Peripheral parameters are taken from Liang et al. (2009a).
†Artery considered in the 1D model, but not segmented and thus not included in the BCG computation. *Artery partially segmented and extrapolated to be included in the BCG computation. Geometric data for non- or partially segmented arteries are taken from Liang et al. (2009a).