Mechanistic origin of the kinetic cooperativity for the ATPase activity of sarcoplasmic reticulum

The (Ca²⁺-Mg²⁺)-ATPase from sarcoplasmic reticulum presents negative cooperativity for the hydrolysis of Mg²⁺-ATP at different concentration ranges of this substrate. A kinetic model is proposed according to which Mg²⁺-ATP may bind to three different enzymatic species present during the catalytic cycle, E (K ₁=1 µM), EP.Ca₂ (K ₉=500 µM) and *EP (K ₇=20 µM), accelerating the release of P_i. The fact that each of these species has a different affinity for Mg²⁺-ATP allows a significant enhancement of the rate of P_i release to the medium at the different ranges of Mg²⁺-ATP concentration where the enzyme shows a kinetic cooperativity. The kinetic analysis of this mechanism yields an equation which is a ratio of two cubic polynomials (3:3 rate equations) with respect to Mg²⁺-ATP and which may explain the negative cooperativity of the enzyme at different concentration ranges of Mg²⁺-ATP.Abbreviations: EGTA, ethylene glycol bis(-aminoethylether)-N,N,N,N-tetraacetic acid; I.U., international units; piruvate kinase (EC 2.7.1.40); lactate dehydrogenase (EC 1.1.1.27); ATP phosphohydrolase (EC 3.8.1.3).