Nested cooperativity in the ATPase activity of the oligomeric chaperonin GroEL

A mathematical model for nested cooperativity in ATP hydrolysis by GroEL is developed in which there are two levels of allostery: one within each ring and the second between rings.

Abstract

Initial rates of ATP hydrolysis by wild-type GroEL were measured as a function of ATP concentration from 0 to 0.8 mM. Two allosteric transitions are observed: one at relatively low ATP concentrations (Ala GroEL mutant [Yifrach, O., & Horovitz, A. (1994) J. Mol. Biol. 243, 397-401]. On the basis of these observations a mathematical model for nested cooperativity in ATP hydrolysis by GroEL is developed in which there are two levels of allostery: one within each ring and the second between rings. In the first level, each hepatameric ring is in equilibrium between the T and R states, in accordance with the Monod-Wyman-Changeux (MWC) model of cooperativity [Monod et al. (1965) J. Mol. Biol. 12, 88-118]. A second level of allostery is between the rings of the GroEL particle which undergoes sequential Koshland-Némethy-Filmer (KNF)-type transitions from the TT state via the TR state to the RR state [Koshland et al. (1966) Biochemistry 5, 365-385]. Using our model, we estimate the values of the Hill coefficient for the negative cooperativity between rings in wild-type GroEL and the Arg-196-->Ala mutant to be 0.003 (+/- 0.001) and 0.07 (+/- 0.02), respectively. The inter-ring coupling free energies in wild-type GroEL and the Arg-196-->Ala mutant are -7.5 (+/- 0.4) and -3.9 (+/- 0.3) kcal mol-1, respectively.