Energetics of the calcium-transporting ATPase

A thermodynamic cycle for catalysis of calcium transport by the sarcoplasmic reticulum ATPase is described, based on equilibrium constants for the microscopic steps of the reaction shown in Equation 1 under a single set of experimental (formula; see text) conditions (pH 7.0, 25 degrees C, 100 mM KCl, 5 mM MgSO4): KCa = 5.9 X 10(-12) M2, K alpha ATP = 15 microM, Kint = 0.47, K alpha ADP = 0.73 mM, K'int = 1.7, K"Ca = 2.2 X 10(-6) M2, and Kp = 37 mM. The value of K"Ca was calculated by difference, from the free energy of hydrolysis of ATP. The spontaneous formation of an acylphosphate from Pi and E is made possible by the expression of 12.5 kcal mol-1 of noncovalent binding energy in E-P. Only 1.9 kcal mol-1 of binding energy is expressed in E X Pi. There is a mutual destabilization of bound phosphate and calcium in E-P X Ca2, with delta GD = 7.6 kcal mol-1, that permits transfer of phosphate to ADP and transfer of calcium to a concentrated calcium pool inside the vesicle. It is suggested that the ordered kinetic mechanism for the dissociation of E-P X Ca2, with phosphate transfer to ADP before calcium dissociation outside and phosphate transfer to water after calcium dissociation inside, preserves the Gibbs energies of these ligands and makes a major contribution to the coupling in the transport process. A lag (approximately 5 ms) before the appearance of E-P after mixing E and Pi at pH 6 is diminished by ATP and by increased [Pi]. This suggests that ATP accelerates the binding of Pi. The weak inhibition by ATP of E-P formation at equilibrium also suggests that ATP and phosphate can bind simultaneously to the enzyme at pH 6. Rate constants are greater than or equal to 115 s-1 for all the steps in the reaction sequence to form E-32P X Ca2 from E-P, Ca2+ and [32P]ATP at pH 7. E-P X Ca2 decomposes with kappa = 17 s-1, which shows that it is a kinetically competent intermediate. The value of kappa decreases to 4 s-1 if the intermediate is formed in the presence of 2 mM Ca2+. This decrease and inhibition of turnover by greater than 0.1 mM Ca2+ may result from slow decomposition of E-P X Ca3.