Complex cooperativity of ATP hydrolysis in the F1-ATPase molecular motor
  F1-ATPase catalyses ATP hydrolysis and converts the cellular chemical energy into mechanical rotation. The hydrolysis reaction in F1-ATPase does not follow the widely believed Michaelis-Menten mechanism. Instead, the hydrolysis mechanism behaves in an ATP-dependent manner. We develop a model for enzyme kinetics and hydrolysis cooperativity of F1-ATPase which involves the binding-state changes to the coupling catalytic reactions. The quantitative analysis and modeling suggest the existence of complex cooperative hydrolysis between three different catalysis sites of F1-ATPase. This complexity may be taken into account to resolve the arguments on the bindingchange mechanism in F1-ATPase. 
Ming S. Liu, B. D. Todd, and Richard J. Sadus