A model for hypoxic constriction of the pulmonary circulation.

The detailed anatomic and biodynamic data provided for the cat lung by Zhuang et al. (J. Appl. Physiol. 55: 1341-1348, 1983) allowed pressure-flow curves for the normal lung to be generated. This model has been modified to permit the stimulation of the pressure and flow distribution effects of hypoxic pulmonary vasoconstriction for a two-compartment lung and generalized to allow comparison with the experimental results from dogs (and probably other species). Hypoxic pulmonary vasoconstriction is simulated by reduction of the initial diameter of the smallest six orders of pulmonary arteries. Expressions are presented that relate the alveolar and mixed-venous O2 tensions to a graded constriction of these vessels. In addition, the diameter of the capillary sheet and the six small arteries is defined with a maximum diameter at a transmural pressure of 20 cmH2O. Pressure-flow curves are derived for any combination of alveolar and mixed-venous O2 tension, alveolar and pleural pressure, left atrial pressure, and hematocrit. The two-compartment model is solved by an iterative procedure to identify the distribution of the flow and the resulting pulmonary arterial pressure when the compartments differ by size, hypoxic constriction, or other imposed conditions. The results of the model are compared with those from a variety of experimental preparations. It is concluded that the model is useful for identifying the quantitative causes of changes in the response to hypoxic pulmonary vasoconstriction and for the exploration of the functional influence of mechanical properties of the vasculature.