The theoretical analysis of kinetic behaviour of "hysteretic" allosteric enzymes. IV. Kinetics of dissociation-association processes of allosteric enzymes

Kinetic study on the dimer-tetramer interconversion of glycogen phosphorylase a

Kinetic theory of dissociating enzyme systems has been applied to a study of the dimer-tetramer interconversion of glycogen phosphorylase a. All kinetic constants for the dissociating-associating reaction of phosphorylase a have been determined. The results indicate that (a) the presence of glucose-1-phosphate has no influence on either the rate of dissociation or the rate of association, and hence does not shift the dimer-tetramer equilibrium of phosphorylase a; (b) the binding og glycogen to the enzyme decreases the association rate of the dimer to form the tetramer, but has no effect on the dissociation rate of the tetramer; (c) both the dimeric and tetrameric form of phosphorylase a can bind glycogen, but the tetrameric form has a lower affinity for glycogen and is catalytically inactive.

A novel method for determining kinetic parameters of dissociating enzyme systems

The theoretical analysis has been presented for the kinetics of dissociating-associating enzyme-catalyzed reactions. On the basis of the kinetic equation of substrate reaction, a general procedure is developed for determining the kinetic constants of dissociating-associating enzyme reactions. By analyzing the experimental data of initial velocity and steady-state velocity as functions of enzyme and substrate concentration, all unknown kinetic parameters can be determined from several simple, sequential calculations. This method is simple and rigorous, and the required experiments may also not be difficult for most dissociating enzyme systems. Therefore, the present method should be a useful addition to the available methods for studying subunit dissociation of enzymes. In comparison to other physical methods, the advantage of this method is not only its usefulness in the study of self-associating reactions at very low protein concentration but its convenience in the study of substrate effects on subunit-subunit interactions.

On the FAD-induced dimerization of apo-lipoamide dehydrogenase from Azotobacter vinelandii and Pseudomonas fluorescens. Kinetics of reconstitution

The apoenzymes of lipoamide dehydrogenase from pig heart and from Pseudomonas fluorescens were prepared at pH 2.7 and pH 4.0, respectively, using a hydrophobic interaction chromatography procedure recently developed for lipoamide dehydrogenase from Azotobacter vinelandii and other flavoproteins [Van Berkel et al. (1988) Eur. J. Biochem. 178, 197-207]. The apoenzyme from pig heart, having 5% of residual activity, shows an equilibrium between the monomeric and dimeric species. Both the yield and the degree of reconstitution of dimeric holoenzyme is 75% of starting material under optimal conditions. The kinetics of reconstitution of pig heart apoenzyme differ slightly from that obtained with the apoenzyme prepared by acid ammonium sulfate precipitation at pH 1.5 [Kalse, J. F. and Veeger, C. (1968) Biochim. Biophys. Acta 159, 244-256]. The apoenzyme from P. fluorescens is in the monomeric state and shows negligible residual activity. The yield and degree of reconstitution of the dimeric holoenzyme is more than 90% of starting material. Reconstitution of the apoenzymes from A. vinelandii and P. fluorescens involves minimally a two-step sequential process. Initial flavin-binding results in regaining of full dichloroindophenol activity, quenching of tryptophan fluorescence and strong increase of FAD fluorescence polarization. In the second step, dimerization occurs as reflected by regain of lipoamide activity, strongly increased FAD fluorescence and increased hyperchroism of the visible absorption spectrum. The kinetics of FAD-induced dimerization are strongly dependent on the apoenzyme used. At 0 degrees C, the monomeric apoenzyme-FAD complex is either stabilized (P. fluorescens) or only transiently detectable (A. vinelandii). Dimerization of P. fluorescens enzyme is strongly stimulated in the presence of NADH.

myo-inositol oxygenase from rat kidneys. Substrate-dependent oligomerization

myo-Inositol from rat kidneys, an oligomeric protein with apparent molecular mass of about 270 kDa can be dissociated under mild conditions to structured 16.8-kDa monomers. This dissociation can be reversed at high protein concentrations at room temperature. The corresponding apparent dimerization constant K2app = 1.38 x 10(5) M-1, the corresponding rate constant k2 = 350 s-1.M-1, and the apparent constant for the association of dimers, K4app = 2.7 x 10(6) M-1. Reassociation is significantly enhanced in the presence of the substrate and iron(II) (K2app = 9.8 x 10(5) M-1; K4app = 3.75 x 10(6) M-1, k2 = 1750 s-1.M-1, at 20 mM myo-inositol and 0.5 mM FeSO4). Under these conditions almost 100% of the original enzymatic activity was reconstituted. Monomers, with or without bound ligands, lack catalytic activity, whereas the dimer is likely to be the elementary active enzyme-building unit. The effects of myo-inositol on the dimerization lead to the conclusion that this step is both mediated and facilitated by the substrate.

New relations for activity analysis of associating enzymes

New relations for catalytic-activity analysis are proposed for simple association/dissociation equilibria between the mono- and oligo-meric forms of enzymes in the case where these equilibria evolve very slowly in comparison with the binding of the substrates. This analysis of activity versus total enzyme concentration leads rapidly to information, complementary to that given by physico-chemical methods, on specific activities, the degree of polymerization of the enzyme forms and on their dissociation constants.