The binding of phenolic ligands to the insulin hexamer occurs as a cooperative allosteric process. Investigations of the allosteric mechanism from this laboratory resulted in the postulation of a model consisting of a three-state conformational equilibrium and the derivation of a mathematical expression to describe the insulin system. The proposed mechanism involves allosteric transitions among two states of high symmetry, designated T3T3' (a low affinity state) and R3R3' (a high affinity state), and a third state of lower symmetry, designated T3oR3o (a state of mixed low and high affinities). To further characterize this mechanism, we present rapid kinetic fluorescence studies, equilibrium binding isotherms, and molecular modeling investigations for the Co(II)-substituted wild-type and E-B13Q mutant hexamers. These studies show that the measured on and off rates (kon and koff) for the binding of the allosteric ligands 2,6- and 2,7-dihydroxynaphthalene provide an independent measure of the dissociation constant for binding to the T3oR3o conformation (KRo). These constants are in agreement with the value obtained by computer fitting of the equilibrium binding isotherms to the quantitative allosteric mechanism. We analyze the structural differences between the T3oR3o and R6 phenolic binding sites and predict the structures of the T3oR3o-2,6-DHN and R6-2, 6-DHN complexes by 3-D molecular modeling. Assignment of H-bonding of the first hydroxyl group to CysA6 and CysA11 has been supported by stacking interactions analogous to phenol using 1H-NMR. H-bonding of the second hydroxyl group of 2,6-DHN to the GluB13 carboxylate side chains is predicted by molecular modeling and is supported by a reduction of affinity for Ca2+, which is postulated to bind to the GluB13 side chains.
The nature of cooperative allosteric interactions has been the source of controversy since the ground-breaking studies of oxygen binding to hemoglobin. Until recently, quantitative examples of a model based on the inherent symmetry and asymmetry of oligomeric proteins have been lacking. This laboratory has used the phenolic ligand binding characteristics of the insulin hexamer to develop the first quantitative model for a symmetry-asymmetry-based cooperativity mechanism. The insulin hexamer possesses positive and negative heterotropic and homotropic interactions involving two classes of sites. In this study, we explore the effects of heterotropic interactions between these sites. We show that application of the pairwise structural asymmetry theory of Seydoux, Malhotra, and Bernhard (SMB) gives excellent agreement between the ligand binding behavior and X-ray crystal structure data. Furthermore, by comparing experimental data with computer simulations, we show that the insulin hexamer can be described by a three-state SMB model involving two positive homotropic cooperative transitions linked by a negative homotropic interaction. The first transition, T3T3' right harpoon over left harpoon T3oR3o, with allosteric constant LoA = [T3T3']/[T3oR3o] and ligand dissociation constant KRo consists of a positive cooperative change from high to low symmetry that results in "half-site reactivity". The second transition, T3oR3o right harpoon over left harpoon R3R3', with allosteric constant LoB = [T3oR3o]/[R3R3'] and ligand dissociation constant KR is a change from low to high symmetry, which is also a positive cooperative process. Treatment of the two transitions as concerted and interconnected processes allows derivation of an equation for the fraction of R-state. Using this equation, the effects of changes in the four physical parameters, LoA, LoB, KR, and KRo, on the ligand binding properties of the insulin hexamer are quantitatively described.
The insulin hexamer is an allosteric protein which displays positive and negative cooperativity and half-site reactivity that is modulated by strong homotropic and heterotropic ligand binding interactions at two different loci. These loci consist of phenolic pockets situated on the dimer-dimer interfaces of T-R and R-R subunit pairs and of anion sites comprising the HisB10 metal ion sites of the R3 units of the T3R3 and R6 states. In this study, we show that suitably tailored organic carboxylates are strong allosteric effectors with relatively high affinities for the R-state HisB10 metal sites. Methods of quantifying the relative affinities of ligands for these sites in both Co(II)- and Zn(II)-substituted insulin hexamers are presented. These analyses show that, in addition to the electron density on the ion, the carboxylate affinity is influenced by polar, nonpolar, and hydrophobic interactions between substituents on the carboxylate and the amphipathic protein surface of the narrow tunnel which controls ligand access to the metal ion. Since the binding of anions to the HisB10 site makes a critically important contribution to the stability of the T3R3 and R6 forms of the insulin hexamer, the design of high-affinity ligands with a carboxylate donor for coordination to the metal ion provides an opportunity for constructing insulin formulations with improved pharmaceutical properties.
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