title: Effects of surface tension and intraluminal fluid on mechanics of small airways.
abstract: Airway constriction is accompanied by folding of the mucosa to form ridges that run axially along the inner surface of the airways. The mucosa has been modeled (R. K. Lambert. J. Appl. Physiol. 71:666-673, 1991) as a thin elastic layer with a finite bending stiffness, and the contribution of its bending stiffness to airway elastance has been computed. In this study, we extend that work by including surface tension and intraluminal fluid in the model. With surface tension, the pressure on the inner surface of the elastic mucosa is modified by the pressure difference across the air-liquid interface. As folds form in the mucosa, intraluminal fluid collects in pools in the depressions formed by the folds, and the curvature of the air-liquid interface becomes nonuniform. If the amount of intraluminal fluid is small, < 2% of luminal volume, the pools of intraluminal fluid are small, the air-liquid interface nearly coincides with the surface of the mucosa, and the area of the air-liquid interface remains constant as airway cross-sectional area decreases. In that case, surface energy is independent of airway area, and surface tension has no effect on airway mechanics. If the amount of intraluminal fluid is > 2%, the area of the air-liquid interface decreases as airway cross-sectional area decreases. and surface tension contributes to airway compression. The model predicts that surface tension plus intraluminal fluid can cause an instability in the area-pressure curve of small airways. This instability provides a mechanism for abrupt airway closure and abrupt reopening at a higher opening pressure.
authors.affiliation: Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis 55455, USA.
authors.forename: M J
authors.initials: MJ
authors.lastname: Hill
authors.forename: T A
authors.initials: TA
authors.lastname: Wilson
authors.forename: R K
authors.initials: RK
authors.lastname: Lambert
mesh_terms: D000403:Airway Resistance / Q000502:physiology*; D008954:Models, Biological; D012143:Respiratory Physiological Phenomena; D013500:Surface Tension