A new approach to modeling oxygen transport in skeletal muscle is pres
ented that has the potential to include the interactions of a large nu
mber of capillaries. Oxygen concentration in tissue does not differ si
gnificantly from that in nearby capillaries, but the concentration in
a capillary can be found only through a consideration of the interacti
on with other capillaries and the surrounding tissue. We therefore beg
in with an analysis of the oxygen concentration in the tissue surround
ing a single capillary. By matching the concentration in adjacent tiss
ue regions, we determine the interaction among capillaries. From this,
two universal constants emerge that permit the capillary concentratio
ns to be determined rather easily, without further consideration of th
e complex solution obtained for the tissue.