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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 6.

Standard errors and confidence intervals derived for all model parameters using the thoracic descending aorta for Sheep 9 under ex vivo experimental conditions (on the left) and under in vivo conditions in Sheep 10 (on the right). The bottom half of the table show similar results from the carotid artery for Sheep 2 under ex vivo experimental conditions (on the left) and under in vivo conditions in human Subject 3 (on the right). In both tables, r0 in cm, b1 in sec, Eh in mmHg cm, α in mmHg, p1 in mmHg, and p0 in mmHg. θ represents the parameters corresponding to each model, and θ̂ their estimated values.

θ θ̂ Standard errors Confidence intervals
ex vivo in vivo ex vivo in vivo ex vivo in vivo
Kelvin TDA r0 0.88 0.80 0.0016 0.0027 [0.875, 0.882] [0.792, 0.802]
Eh 754 422 10.5 5.74 [733, 774] [411, 433]
A1 0.52 0.79 0.0188 0.0538 [0.482, 0.556] [0.686, 0.897]
b1 0.065 0.024 0.0054 0.0015 [0.0546, 0.0758] [0.0210, 0.0270]
Arctangent TDA r0 0.64 0.42 0.019 0.0778 [0.604, 0.678] [0.269, 0.574]
p0 21.6 45.3 0.7313 1.5184 [20.1, 23.0] [42.3, 48.3]
p1 41.3 26 4.2912 9.3059 [32.9, 49.7] [7.68, 44.2]
A1 1.00 1.00 0.1110 0.0844 [0.782, 1.22] [0.835, 1.17]
b1 0.023 0.012 0.0027 0.0011 [0.0175, 0.0281] [0.0102, 0.0144]
Sigmoid TDA r0 0.90 0.92 0.0009 0.0004 [0.898, 0.902] [0.916, 0.917]
k 3.9 23.3 0.0392 0.7486 [3.78, 3.93] [21.8, 24.8]
α 78.2 83.9 0.5876 0.2226 [77.3,79.1] [83.5, 84.4]
A1 0.97 0.70 0.0918 0.0166 [0.793, 1.15] [0.663, 0.728]
b1 0.024 0.038 0.0024 0.0016 [0.0189, 0.0283] [0.0344, 0.0408]
Kelvin CA r0 0.41 0.30 0.0001 0.00330 [0.405, 0.405] [0.297, 0.310]
Eh 3751 342 49.3 25.5 [3654, 3848] [292, 392]
A1 0.83 0.70 0.0580 0.133 [0.715, 0.942] [0.443, 0.965]
b1 0.033 0.084 0.0029 0.0179 [0.0278, 0.0390] [0.0485, 0.119]
Arctangent CA r0 0.29 0.28 0.0786 0.0397 [0.137, 0.445] [0.199, 0.355]
p0 0.00 23.0 4.41 17.7 [−8.64, 8.64] [−11.6, 57.6]
p1 6.00 151 0.772 206 [3.77, 6.79] [−251, 554]
A1 1.00 1.00 0.226 0.869 [0.557, 1.443] [−0.407, 2.41]
b1 0.013 0.053 0.0040 0.0154 [0.0108, 0.0264] [−0.0426, 0.137]
Sigmoid CA r0 0.41 0.33 0.0001 0.0680 [0.407, 0.408] [0.386, 0.413]
k 6.8 10 0.284 2.62 [6.24, 7.35] [5.16, 15.4]
α 94.9 132 0.813 8.43 [93.3, 96.5] [116, 149]
A1 1.00 1.00 0.176 0.718 [0.655, 1.35] [−0.42, 2.42]
b1 0.033 0.047 0.0052 0.0458 [0.0162, 0.0364] [−0.0440, 0.1381]