Textbook: Transport Phenomena in Biological Systems; Truskey, Yuan, Katz, 2nded.

Question

Textbook: Transport Phenomena in Biological Systems; Truskey, Yuan, Katz, 2nded.

Page 48. Problem 1.6

Morphometric data of a human lung are shown in Table 1.14 (see also Figure 1.13). The number of bronchi N equals 2z, where z is the order. Calculate the volume of air and the surface area of the bronchial system in each order of airway, and calculate the cumulative volume and surface area from order 0 to order 23.

TABLE 1.13 Morphometric Data of a Pulmonary Arterial Network Order Number of Mean vessel diameter (mm) 0.024 0.044 0.073 0.122 0.192 0.352 0.533 0.875 1.519 2.486 5.080 Mean vessel length (mm) 0.116 0.262 0.433 0.810 1.510 2.720 4.600 8.190 14.260 11.870 25.000 vessels 300,358 97,519 31,662 9,736 2,925 774 202 49 12 4 10 Source Adapted with kind permission of Springer Science + Business Media from Ref. 28]. The smallest arterioles are vessels of order 1, and the pulmonary artery is of order 11.

Explanation / Answer

A=2rh+2r2=2r(h+r)

V=r2h

Cumulative surface area : 3500.85mm2

Cumulative Volume:7212.04mm3

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