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. Author manuscript; available in PMC: 2013 Jul 11.
Published in final edited form as: Ann Biomed Eng. 2011 Jan 4;39(5):1438–1456. doi: 10.1007/s10439-010-0236-7

Table 3.

Estimated model parameters obtained with the Kelvin, the arctangent, and the sigmoid models for the thoracic descending aorta (TDA) and carotid artery (CA). Expt refers to the experimental conditions under which the data were collected (S - ex for ovine vessels ex vivo, S - in for ovine vessels in vivo, and H - in for human vessels in vivo), and # refer to the number of data sets used to generate the summary statistics.

Kelvin model
Expt (#) r0 cm Eh mmHg cm A1 - b1 ×101 sec J × 104 cm4
TDA S - ex (11) 0.88 ± 0.02 750 ± 78 0.68 ± 0.16, 0.52 ± 0.15 22 ± 6
S - in (10) 0.79 ± 0.05 493 ± 83 0.98 ± 0.07 0.25 ± 0.07 3.5 ± 1.7
CA S - ex (11) 0.41 ± 0.03 3295 ± 419 0.84 ± 0.19 0.36 ± 0.14 2.9 ± 1.2
H - in (10) 0.28 ± 0.04 309 ± 206 0.79 ± 0.18 1.24 ± 0.80 23 ± 13
Arctangent model
Expt (#) r0 cm p0 mmHg p1 mmHg A1,- b1 ×10−1 sec J × 10−4 cm4
TDA S -ex (11) 0.62 ± 0.08 26 ± 6 42 ± 13 0.90 ± 0.16 0.35 ± 0.11 8.9 ± 4.3
S -in (10)* 0.59 ± 0.28 229 ± 157 25 ± 56 1.0 ± 0.01 0.21 ± 0.11 3.3 ± 1.6
CA S -ex (11)** 0.29 ± 0.02 0 ± 0 6. 2 ± 0.7 1.0 ± 0.00 0.19 ± 0.03 6.1 ± 2.3
H -in (10)* 0.23 ± 0.06 122 ± 174 90 ± 101 0.93 ± 0.12 0.59 ± 0.20 19 ± 9.6
Sigmoid model
Expt (#) r0 cm k - α mmHg A1,- b1 ×10−1 sec J × 10−4 cm4
TDA S -ex (11) 0.93 ± 0.02 5.8 ± 1.3 83 ± 5 0.95 ± 0.08 0.32 ± 0.09, 8.6 ± 4.3
S -in (9) 0.90 ± 0.06 28 ± 12 89 ± 8 0.93 ± 0.11 0.37 ± 0.11 1.4 ± 1.1
CA S -ex (11) 0.41 ± 0.03 6.1 ± 0.6 94 ± 3 0.98 ± 0.08 0.27 ± 0.04 3.2 ± 1.4
H -in (10) 0.31 ± 0.04 13 ± 5.0 113 ± 14 0.98 ± 0.03 0.53 ± 0.16 28 ± 14
*

Large variation in parameter estimates.

**

Two outliers excluded from analysis.

Experimentally measured ex vivo r0 in ovine thoracic descending aorta was 0.86 ± 0.03 cm, and in ovine CA r0 was 0.41 ± 0.02 cm.

Comparison of means ex vivo vs. in vivo not statistically different (p>0.05).

Comparison of means between anatomical locations not statistically different (p>0.05).