Using data in Table 4.2 and assuming t/2R=0.07, compute the average circumferential stress in the ascending aorta, thoracic aorta, and femoral artery.
Table 4.2: Values of the "pressure-strain", Ep, and other arterial parameters in humans. Form more complete listings in Milnor [4] and Nichols and O' Rourke [8], except the values for aortic root?

a. Number of arteries studied.
b. Mean outer radius.
c. Pulsation about the mean radius from normal pulse pressures (i.e., 100 x one-half the total radial excursion in each cardiac cycle (systolic-diastolic) divided by the average radius).
d. Calculated from Equation (4.15) using total excursion of pressure and radius during natural pulsations: therefore represents a dynamic modulus.
e. Measured using MRI?

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No. R, (cm) Pressure Radial (mmHg) (mmHg) E, (dyn/cm²)d source Artery pulsation (%)e Aortic root ±4.7 Jin et al. [23] Patel and Fry [24] 1.6 ±2.9 0.76 x 106 Ascending 10 1.42 79–111 aorta 1.26 x 106 Thoracic 12 1.17 98–174 +2.6 Luchsinger et al. [25) aorta Femoral 0.31 4.33 x 106 Patel et al. (24] 85-113 +0.6 6.08 x 10° Carotid 126-138 ±0.5 Patel et al. [24] 11 0.44 Arndt (26] Carotid 0.49 x 10° 16 0.40 96 +7.4 0.63 x 106 Riley et al. (27) Carotid 109 0.16 x 106 Pulmonary (main) 1.35 16 +5.6 Greenfield and Griggs [28] 0.17 x 10° Pulmonary (left) 1.07 ±6.2 Luchsinger et al. [25] 5 25 Pulmonary (right) 0.16 x 106 Luchsinger et al. [25] 13 1.13 27 +5.8 Patel et al. [24] 0.16 x 106 Pulmonary (main) 1.43 18-22 +5.4