A three-compartment model of osmotic water exchange in the lung microvasculature

A bolus injection of hypertonic NaCl into the pulmonary arterial circulation of an isolated perfused dog lung causes the osmotic movement of water first into, and then out of the capillary. The associated changes in blood constituent concentrations and density are referred to as the osmotic transient (OT). Measurement of the sound conduction velocity of effluent blood during an OT is a highly sensitive way to monitor water movement between the vascular and extravascular spaces. It was our objective to develop a mathematical model that adequately describes this transient change in the sound conduction velocity and evaluate its application under conditions of homogeneous and heterogeneous capillary flow distributions. The model accounts for osmotic water exchange between the capillary and two parallel extravascular compartments, and includes as parameters the osmotic conductances (sigmaK1 ,sigmaK2) of the two compartments. The osmotic conductance parameters incorporate the filtration coefficient for water and reflection coefficient for salt for the two pathways of water exchange. The partition of total extravascular lung water (EVLW) between the two extravascular compartments is a third parameter of the model. The homogeneous model parameter estimates (per gram wet lung weight +/-95% confidence limits) from the best-fit analysis of a typical curve were sigmaK1=2.15 +/-0.07, sigmaK2 = 0.03 + 0.00 [ml h(-1) (mosmol/liter)(-1) g(-1)] and V1 = 23.83+/-0.12 ml, with a coefficient of variation (CV) of 0.08. The heterogeneous parameter estimates for a capillary transit time distribution with mean transit time (MTTc) = 1.72 s, and relative dispersion (RDc) = 0.35 were KI = 2.38+/-0.05, or K2 = 0.03+/-0.00 [ml h(-1) (mosmol/liter)(-1) g(-1)], V1 = 23.91+/-0.08 ml, and CV=0.05. EVLW was 42.1 ml for both models. We conclude that the three-compartment mathematical model adequately describes a typical OT under both homogeneous and heterogeneous blood flow assumptions.