Steady state of an ATP-driven calcium pump: limitations on kinetic and thermodynamic parameters

A numerical analysis was carried out to explore limitations on kinetic and thermodynamic parameters for an ATP-driven Ca pump. A conventional pump reaction cycle was employed, with a transport stoichiometry of two Ca ions per cycle. Rigid requirements were imposed to represent the needs of physiological function, defined as the ability to maintain the cytoplasmic Ca concentration below 10(-7) M against a 3 mM concentration on the opposite side of the membrane. Realistic physical limits were placed on the magnitudes of rate constants for individual reaction steps. Reversibility under laboratory conditions was assumed. The results show that these requirements can be satisfied simultaneously only if the equilibrium constant for binding Ca from the cytoplasmic (uptake) side of the membrane is much larger than the binding constant on the discharge side. More generally, the results demonstrate that limitations on rate constants make it possible for the pump to maintain an adequate rate only if steady-state levels of kinetically important (slowly reacting) reaction intermediates do not become too disparate. Experimental data for the sarcoplasmic reticulum calcium pump support these theoretical conclusions.