The effect of bronchoconstriction on airway resistance is known to be spati
ally heterogeneous and dependent on tidal volume. We present a model of a s
ingle terminal airway that explains these features. The model describes a f
eedback between flow and airway resistance mediated by parenchymal interdep
endence and the mechanics of activated smooth muscle. The pressure-tidal vo
lume relationship for a constricted terminal airway is computed and shown t
o be sigmoidal. Constricted terminal airways are predicted to have two stab
le states: one effectively open and one nearly closed. We argue that the he
terogeneity of whole lung constriction is a consequence of this behavior. A
irways are partitioned between the two states to accommodate total flow, an
d changes in tidal volume and end-expiratory pressure affect the number of
airways in each state. Quantitative predictions for whole lung resistance a
nd elastance agree with data from previously published studies on lung impe
dance.