An exact solution for the concentration profile in tubes with surface react
ion coupled with permeation have been obtained in terms of fast converging
confluent hypergeometric function that gives accurate results. An excellent
agreement between the experimental and theoretical results of the intracel
lular calcium ion concentration in the calf aorta endothelial cells and the
extracellular ATP concentration provides yet another example in support of
the mass transfer model for intracellular calcium response of the endothel
ial cells.