A theoretical model of gas transport between arterioles and tissue

A theoretical model of CO2 and O2 diffusion between arterioles and tissue was developed to determine if significant transport could occur in precapillary vessels. There is increasing evidence, both theoretical and experimental, that such exchange does occur. Using a model in which CO2 and O2 were coupled through the Bohr and Haldane effects, we quantified the radial and axial transport. We also examined the roles of axial diffusion in the arteriole wall and tissue and capillary structure on the transport. Capillary arrangements investigated included capillaries independent of the arteriole with the entering capillary PCO2 or PO2 equal to a constant, and capillaries branching off along the length of the arteriole with the entering capillary partial pressure equal to the arteriole partial pressure at the given axial location. We found that for CO2 in arterioles with an inner diameter ranging from 200 to 22 microns, the exiting blood was 6 to 45% of the way to complete equilibrium with the surrounding tissue, respectively. For O2, the range was 8 to 25%, respectively. We also determined that axial diffusion in the arteriole wall and tissue has little effect on the transport and that capillary structure can alter tissue PCO2 by as much as 12 mm Hg in the smallest arteriole, but has little effect on O2 transport.