Numerical simulation of assay of the calcium pump of intact red blood cells.

An assay of the Ca pump ATPase of intact human RBCs is described in a companion paper (Wu, L., Hinds, T. R. and Vincenzi, F. F. (1992) Biochim. Biophys. Acta 1106, 56-62). The assay is based on the rapid loss of ATP in RBCs that occurs when the cells are exposed to the ionophore, A23187, in the presence of Ca. An unexpected finding was that the initial loss of ATP follows pseudo-first-order kinetics. This was unexpected because the ATP content of RBCs is somewhat higher than the Km of the Ca pump for ATP. Thus, the initial loss of ATP would be expected to follow zero-order kinetics; at least if the Ca pump ATPase operated with Michaelis kinetics. We performed a series of computer simulations of the Ca pump ATPase to investigate the possible cause of the unexpected pseudo-first-order behavior. The results confirmed that the data can not be accounted for by Michaelis kinetics of the Ca pump ATPase. Possible effects of adenylate kinase were tested and were also not found to account for the pseudo-first-order behavior of an ATPase operating with Michaelis kinetics. The enzymatic properties of the Ca pump ATPase were re-examined. It was found that the Ca pump ATPase exhibits positive cooperativity toward ATP. The apparent cooperativity was 1.91. In simulations it was found that positive cooperativity of the Ca pump ATPase in the range of 1.5 to 2.0 could account for the pseudo-first-order behavior. Excellent fit of the simulation data to first-order behavior was true with or without any contribution from adenylate kinase. Rate constants of ATP loss were thus examined using cooperativity of 2.0. Over a wide range the rate constant of the loss of ATP was directly proportional to the assumed Vmax of the Ca pump ATPase, but only if the data were limited to loss of less than 67% of the initial ATP. It is suggested, therefore, that the rate constant for the initial loss of ATP in intact RBCs, as stimulated by the ionophore A23187, can be taken as a measure of the capacity of the Ca pump ATPase.