A finite-element model of oxygen diffusion in the pulmonary capillaries

Frank, Andreas O., C. J. Charles Chuong, and Robert L. Johnson. A finite-element model of oxygen diffusion in thepulmonary capillaries. J. Appl.Physiol. 82(6): 2036-2044, 1997.We determined the overall pulmonary diffusing capacity(DL) and the diffusing capacities of the alveolar membrane (Dm) and the red blood cell (RBC)segments (De) of the diffusional pathway forO₂ by using a two-dimensionalfinite-element model developed to represent the sheet-flowcharacteristics of pulmonary capillaries. An axisymmetric model wasalso considered to assess the effect of geometric configuration. Results showed the membrane segment contributing the major resistance, with the RBC segment resistance increasing asO₂ saturation(SO₂) rises during the RBC transit:RBC contributed 7% of the total resistance at the capillary inlet (SO₂ = 75%) and 30% toward thecapillary end (SO₂ = 95%) for a 45%hematocrit (Hct). Both Dm and DLincreased as the Hct increased but began approaching a plateau near anHct of 35%, due to competition between RBCs forO₂ influx. Both Dm andDL were found to be relatively insensitive (2~4%) to changes in plasma protein concentration (28~45%). Axisymmetric results showed similar trends for all Hct andprotein concentrations but consistently overestimated the diffusingcapacities (~2.2 times), primarily because of an exaggerated air-tissue barrier surface area. The two-dimensional model correlated reasonably well with experimental data and can better represent theO₂ uptake of the pulmonarycapillary bed.