Stochastic model of radon daughter deposition and clearance in human bronchial airways

Morphometric measurements of human airway casts have repealed that the human bronchial tree is an asymmetrically dividing network, exhibiting individual variations of airway dimensions within a given airway generation Thus, a statistical correlation exists between the linear dimensions of a given parent airway and those of the asymmetrically dividing daughter branches. This statistical relationship, however, is constrained by correlations among various geometrical parameters. i.e., the human lung is not a fully stochastic system. From a statistical analysis of these morphometric data, the following geometrical parameters could be obtained for each airway generation or bifurcation: (i) probability distributions for diameters and lengths, ratios of parent cross section to the combined cross section of both daughters, ratios of major to minor daughter diameters, and branching angles for major and minor branches; (ii) correlations of diameters and lengths; and (iii) the probability of terminating the bronchial region as a function of both diameter and generation number. Since the original lung morphometry refers to total lung capacity, airway diameters and lengths were scaled down to functional residual capacity. (author)