Detailed mathematical description of the geometry of airway bifurcations.

Health effects related to the deposition of inhaled aerosol particles in the respiratory system strongly depend on the local deposition patterns. These patterns are highly sensitive to the shape of the airway geometry. The current study presents an exact mathematical description of a morphologically realistic airway bifurcation by further developing an earlier study of the published literature. In addition, numerical methods are elaborated to solve some important tasks, which are necessary for the development of computational fluid dynamics (CFD) techniques in the area of aerosol deposition calculations in the airways. Finally, single and multiple airway geometries and computational grids are generated and analysed.