Self-association mode of a flavoenzyme D-amino acid oxidase from hog kidney. II. Stoichiometry of holoenzyme association and energetics of subunit association

The self-association pattern of D-amino acid oxidase holoenzyme in 0.1 M sodium pyrophosphate, pH 8.3, at 25 degrees C was examined by the low-angle laser light-scattering method. As to the results of nonlinear least-squares analysis of the apparent weight-average molecular weight (Mwapp) versus protein concentration (c) data, the following three models fitted equally well the data over the concentration range of 0.03-11.4 mg/ml: 1) the model of isodesmic indefinite self-association of the monomer where the dimerization constant differs from the isodesmic association constant, 2) the model which involves the dimerization of the monomer and isodesmic indefinite self-association of the dimer, and 3) the model which involves the trimerization of the monomer and isodesmic indefinite self-association of the trimer. In a more limited concentration range (0.3-11.4 mg/ml), a model of isodesmic indefinite self-association of the stable dimer where the dimer does not dissociate into the monomers cannot be excluded from the above three models. Measurements with the concentration range lowered to 0.03 mg/ml enabled us to exclude unequivocally the model involving such a stable dimer and to extrapolate the Mwapp data to the Mr of the monomer at infinite dilution as in the case of the apoenzyme. The observed sedimentation boundary profiles were qualitatively consistent with the idealized boundary profiles calculated with the model which involves the dimerization of the monomer and isodesmic indefinite self-association of the dimer, so this model is the most probable of the models examined. These results provide the first evidence that the association mode of the holoenzyme is different from that of the apoenzyme, i.e. isodesmic indefinite self-association of the monomer (Tojo, H., Horiike, K., Shiga, K., Nishina, Y., Watari, H., and Yamano, T. (1985) J. Biol. Chem. 260, 12607-12614). The overall linkage scheme, between binding of coenzyme FAD and subunit association, was considered, and the overall free energy change in each process in the scheme was calculated. The total stabilization energies of the intersubunit interaction in the holoenzyme relative to the apoenzyme were found to be -2.2 kcal/mol at the dimerization step and -0.5 kcal/mol at the step of the addition of the dimer to any 2i-mer (i = 1,2, ...).     

Polymerization pattern of insulin at pH 7.0.

Sedimentation equilibrium results, obtained with bovine zinc-free insulin (with and without a component of proinsulin) at pH 7.0, I o.2, 25 degrees C, and up to a total concentration of 0.8 g/l., are shown to be consistent with three different polymerization patterns, all involving an isodesmic indefinite self-association of specified oligomeric species. The analysis procedure, based on closed solutions formed by summing infinite series, yields for each pattern a set of equilibrium constants, It is shown that a distinction between the possible patterns can be made by analyzing sedimentation equilibrium results obtained in a higher total concentration range (up to 4 g/1.) with insulin freed of zinc and proinsulin, account being taken of the composition dependence of activity coefficients. The favored pattern, which differs from that previously reported in the literature, involves the dimerization of monomeric insulin (mol wt 5734), governed by a dimerization constant of 11 X 10(4) M-1 and the isodesmic indefinite self-association of the dimer, described by an association constant of 1.7 X 10(4) M-1. This polymerization pattern is also shown to be consistent with the reaction boundary observed in sedimentation velocity experiments.     

The self-association of flavin mononucleotide (FMN(2-)) as determined by (1)H NMR shift measurements

The concentration dependence of the (1)H NMR chemical upfield shifts of the protons H6, H9, H7alpha, and H8alpha of the 7,8-dimethylisoalloxazine residue of flavin mononucleotide (FMN(2-)) has been measured and the self-stacking tendency of FMN(2-) was quantified with the isodesmic model of indefinite non-cooperative self-association. The stacking tendency of FMN(2-) is considerable and described in the concentration range of 0.0025-0.1 M with the indicated model by K = 27 +/- 15 M(-1) (25 degrees C; I = 0.1-0.3 M). This result is compared with related ones from the literature. The caveats regarding the self-stacking properties of FMN(2-) and their dependence on the concentration are discussed.     

Interactions of lens proteins. Self-association and mixed-association studies of bovine alpha-crystallin and gamma-crystallin

Concentrated solutions of calf alpha-crystallin (up to 45 g/l) and gamma-crystallin (up to 67 g/l) were subjected to frontal exclusion chromatography at pH 7.3, ionic strength 0.17 and 20 degrees C. The experimental concentration dependence of the weight-average partition coefficient was compared with theoretical expressions, which include considerations of thermodynamic non-ideality effects, for the concentration dependence of a single solute and of a solute undergoing reversible self-association. Two types of association pattern were examined, discrete dimerization and indefinite self-association. The partition chromatography results are consistent with an indefinite self-association of gamma-crystallin, governed by an isodesmic association constant of 6.7 X 10(-3) l/g. alpha-Crystallin appears to self-associate either very weakly, with a maximal association constant of 0.9 X 10(-3) l/g, or not at all; the distinction depends on the assessment of the non-ideality coefficients. The consequences of excluded volume effects on these self-association equilibria at high total protein concentration are discussed. Mixtures of alpha-crystallin and gamma-crystallin were analyzed by frontal exclusion chromatography (up to 14 g/l) and sedimentation velocity (up to 115 g/l): no interaction was observed.     

Light-scattering studies of the alpha-ketoglutarate dehydrogenase complex from escherichia coli. I. Characterization of the self-association of the complex

The self-association of Escherichia coli alpha-ketoglutarate dehydrogenase complex (KGDC) purified by a column Chromatographic technique, was characterized by light-scattering photometry. The complex adopts a solution conformation somewhat larger than that observed in the electron microscope. The evidence suggests a nonideal indefinite self-association model for KGDC in KCl, phosphate buffer. The KGDC monomer has a molecular charge of about -3 x 10(2) at neutral pH. The self-association is promoted by increasing KCl concentrations, pH (in the range from 6.3 to 7.4) and temperature (from 20 to 30 degrees C). The effects of pH changes suggest a release of protons during the self-association and a minor 'preferential' interaction of phosphate ions. For the association of one monomer to the aggregate at neutral pH and 25 degrees C. DeltaG degrees = -7.8 kcal mol(-1). DeltaH degrees = 24 kcal mol(-1) and DeltaS degrees = 1.1 x 10(2) cal mol(-1) K(-1). These data indicate that hydrophobic interactions drive the association. Thermodynamically, the self-association of KGDC is a complex phenomenon and may serve to stabilize the enzyme complex in solution.     

Frontal gel chromatographic analysis of the interaction of a protein with self-associating ligands: aberrant saturation in the binding of flavins to bovine serum albumin

Frontal gel chromatography is an accurate method to obtain the total free ligand concentration of a protein-ligand mixture in which ligands self-associate. The average number of bound ligands per protein molecule is obtained as a function of the total free ligand concentration. The method was applied to the interaction of bovine serum albumin with self-associating flavins. The binding curves for FMN and FAD leveled off at about 0.7 and 0.5, respectively. These data were simulated well by a binding model where flavins undergo isodesmic indefinite self-association and the monomer alone binds to a single binding site of albumin. The isodesmic association constants of FMN and FAD were (1.7 +/- 0.1) x 10(2) and (2.2 +/- 0.3) x 10(2) M(-1), respectively. The binding constants of the monomer of FMN and FAD were (7.6 +/- 0.2) x 10(2) and (3.5 +/- 0.2) x 10(2) M(-1), respectively. FMN competitively inhibited the binding of FAD to albumin. The affinity to flavins was in the following order at pH 5.8: lumiflavin, FMN, riboflavin, and FAD. The SH modification and the binding of palmitate did not affect the FMN binding to bovine albumin at pH 5.8. As pH increased from 5.8 to 9.0, the affinity to FMN of bovine albumin decreased 3-fold, whereas that of human albumin increased about 80-fold. The present study clearly showed how isodesmic self-association of a ligand can cause apparent saturation of the interaction of a protein with the ligand at levels lower than 1.     

The indefinite self-association of lysozyme: consideration of composition-dependent activity coefficients

An improved iterative method for computing association constants from sedimentation equilibrium results obtained with self-interacting protein systems is presented which accounts for the composition-dependence of the activity coefficients of all oligomeric species. The method is based on the calculation of virial coefficients from covolume and charge considerations, the statistical mechanical basis of which is discussed in relation to the DLVO theory. The method is applied to results obtained with lysozyme in diethylbarbiturate buffer of pH 8.0 and ionic strength 0.15 at 15°C. It is shown that these results, encompassing a range of total solute concentration up to 19.7 g/liter are consistent with self-association patterns comprising either a monomer-dimer-trimer system or an isodesmic indefinite self-association of the monomer, the latter being favored. A firmer distinction between these possibilities is sought on the basis of the dependence of the weight-average partition coefficient, determined by frontal gel chromatography, on total solute concentration (up to 56.6 g/liter). This analysis accounts for the composition-dependence of the ratio of the activity coefficients of partitioning monomer in mobile and stationary phases. It is concluded that all results are consistent with an indefinite self-association of lysozyme governed by a single association constant of 4.61 × 10² liter/mole.     

A thermodynamic model for the self-association of human spectrin

The self-association of human spectrin at 28.8 degrees C in 0.11 M salt (pH 7.5) has been studied by means of sedimentation equilibrium. Coincidence of omega function plots as a function of total spectrin concentration (0-2 g/L) indicated that equilibrium was achieved and that no significant concentration of solute was incapable of participating in the self-association reaction. On the basis of the root-mean-square deviation of the fits and the randomness of the residuals, the behavior can be described equally well, either by a cooperative isodesmic model, in which K12 approximately 2 x 10(6) M-1 and all other K approximately 10(6) M-1, or by an attenuated scheme in which K(i-1)i approximately (3.5 x 10(6)/i M-1. The returned values of the second virial coefficient, B, for both these models fall within the range calculated from the charge and Stokes radius of spectrin. A mechanism for spectrin self-association consistent with both schemes is proposed in which spectrin heterodimers undergo a reversible opening at the self-association interface. These open heterodimers then undergo indefinite self-association to form a series of open-chain oligomers in dynamic equilibrium with closed-loop oligomers.     

The self-association of human spectrin at high concentration.

The self-association of purified human spectrin has been studied at sedimentation equilibrium over a wide range of concentration (0-20 g/L) at 30 degrees C and pH 7.5. Coincidence of apparent weight average molecular weight and omega (r) plots as a function of total spectrin concentration indicated that equilibrium was attained and that no significant concentration of solute was incapable of participating in the self-association reaction. Under these conditions, no significant dissociation of the heterodimer to component polypeptide chains could be detected. The behavior of spectrin between 0 and 20 g/L can be described reasonably well by a cooperative isodesmic model, in which the protomer for association is the alpha beta heterodimer. With this model, the equilibrium constant for the heterodimer-tetramer step, K24, is 2 x 10(6) M-1, and K(iso), the equilibrium constant describing all other steps, is approximately 0.2 x 10(6) M-1. The returned value of the second virial coefficient for this model, 1.0 x 10(-7) L mol g-2, is consistent with the lower limit of values calculated for the heterodimer from the charge and Stokes radius of spectrin. On the other hand, the attenuated indefinite association model fails to describe the self-association of spectrin adequately over the range 0-20 g/L. Systematic decreases in the estimates of the second virial coefficient and the equilibrium constants for association beyond the tetramer suggest that the assumption of a single value of the second virial coefficient may not be appropriate for spectrin, and that non-ideality would best be taken into account by consideration of the detailed solution composition.     

Self-association of sodium cholate in isotonic saline solutions

The self-association of dialyzed solutions of sodium cholate in isotonic saline solutions has been studied by vapor pressure osmometry and sedimentation equilibrium. These studies were carried out at 25, 31 and 37 degrees C. In all experiments the self-association could be described as a two-equilibrium constant, indefinite self-association in which odd species beyond monomer were absent. The plots of M1/Mna or M1/Mwa vs. c were quite smooth with no sharp breaks; this suggested that there were no critical phenomena. The temperature dependence of the self-association was quite small. Our results are in accord with other studies on sodium cholate which indicate that the self-association involves several species, and that it is not a monomer-n-mer self-association.     

Determination of the parameters of self-association by direct fitting of the omega function

Nonlinear regression is used to fit the omega function vs. protein concentration curves (first described by B.K. Milthorpe, P.D. Jeffrey and L.W. Nichol, Biophys. Chem. 3 (1975) 169) obtained from sedimentation equilibrium experiments on self-associating macromolecules. Nonlinear regression allows the direct fit of these curves with discrete or indefinite self-association reaction models in order to obtain values for the equilibrium constants and second virial coefficient. The method is independent of the choice of reference concentration and avoids the original method of extrapolating an omega function curve to zero concentration and then using the extrapolated value to construct a monomer activity curve used for analysis. This extrapolation can become very difficult for mild to strong self-associations where incorrectly extrapolated values lead to systematic error in the monomer activity curves. The method is applied to results from a mild, indefinite self-association, exemplified by the self-association of human spectrin, and to computer-simulated data of weak, mild and strong, indefinite self-associations.     

Vincristine-induced self-association of calf brain tubulin

The vincristine-induced self-association of tubulin has been examined in a sedimentation velocity study as a function of free drug concentration in PG buffer (0.01 M NaPi and 10(-4) M GTP, pH 7.0) at 20 degrees C. Analysis of the weight-average sedimentation coefficient (S20,w) as a function of protein concentration showed a good fit with the model of an indefinite, isodesmic self-association mechanism. Analysis of the apparent association constants in terms of the Wyman linkage relations showed a good fit to mediation of the self-association by the binding of one ligand molecule. The intrinsic association constant for dimerization of the vincristine-liganded tubulin was found to be 3.8 X 10(5) M-1, and the intrinsic equilibrium constant for the binding of the self-association-linked vincristine molecule had a value of 3.5 X 10(4) M-1, consistent with that measured by fluorescence in our laboratory [Prakash, V., & Timasheff, S. N. (1983) J. Biol. Chem. 258, 1689-1697]. Both reactions are stronger in the presence of vincristine than of vinblastine, reflecting the oxidation of a -CH3 group to -CHO when going from the latter drug to the former one.     

Aspects of the molecular structure and dynamics of neuropeptide Y.

Human neuropeptide Y (hNPY) and the Q34-->P34 mutant (P34-hNPY) have been characterized by CD spectroscopy. hNPY self-associates in aqueous solution with a dimerization constant in the micromolar range. The self-association correlates with an increase in secondary-structure content which was studied as a function of concentration, temperature and pH. The effects of temperature were measured in water (5-84 degrees C) and in ethanediol/water (2 : 1) (-90 degrees to +90 degrees C). A single-residue mutation, Q34-->P34, affects the pH, thermal and self-association properties of NPY. The CD results are correlated with photochemically induced dynamic nuclear polarization NMR experiments which show that the tyrosines at the interface between two monomer units present limited accessibility to a photoreactive dye. An equilibrium state is described, involving a PP-fold monomer form and a handshake dimer form, that accommodates the physicochemical properties of NPY.     

Indefinite noncooperative self-association of chicken deoxy hemoglobin D

The minor tetrameric hemoglobin (Hb), Hb D, of chicken red blood cells self-associates upon deoxygenation. This self-association enhances the cooperativity of oxygen binding. The maximal Hill coefficient is greater than 4 at high Hb concentrations. Previous measurements at low Hb concentrations were consistent with a monomer-to-dimer equilibrium and an association constant of ～1.3-1.6 × 10(4) M(-1). Here, the Hb tetramer is considered as the monomer. However, new results indicate that the association extends beyond the dimer. We show by combination of Hb oligomer modeling and sedimentation velocity analyses that the data can be well described by an indefinite noncooperative or isodesmic association model. In this model, the deoxy Hb D associates noncooperatively to give a linear oligomeric chain with an equilibrium association constant of 1.42 × 10(4) M(-1) at 20°C for each step. The data are also well described by a monomer-dimer-tetramer equilibrium model with monomer-to-dimer and dimer-to-tetramer association constants of 1.87 and 1.03 × 10(4) M(-1) at 20°C, respectively. A hybrid recombinant Hb D was prepared with recombinant α(D)-globin and native β-globin to give a Hb D tetramer (α(2)(D)β(2)). This rHb D undergoes decreased deoxygenation-dependent self-association compared with the native Hb D. Residue glutamate 138 has previously been proposed to influence intertetramer interactions. Our results with recombinant Hb D show that Glu138 plays no role in deoxy Hb D intertetramer interactions.     

Interaction of vinblastine with calf brain tubulin: multiple equilibria

The binding of the anticancer drug vinblastine to calf brain tubulin was measured by a batch gel filtration method in PG buffer (0.01 M NaPi, 10(-4) M GTP, pH 7.0) at three different protein concentrations. The Scatchard binding isotherms obtained were curvilinear. The binding of the first vinblastine molecule to each tubulin alpha-beta dimer (Mr 110,000) was enhanced by an increase in the protein concentration. Additional binding of vinblastine to the protein was independent of the protein concentration. Theoretical ligand binding isotherms were calculated for a ligand-induced macromolecule self-association involving various ligand stoichiometries and association schemes. Fitting of the experimental data to these isotherms showed that the system can be described best by a one-ligand-induced isodesmic indefinite self-association. The pathway giving the best fit consists of a ligand-mediated plus -facilitated self-association mechanism. The self-association-linked bound vinblastine binds specifically at a site with an intrinsic binding constant K1 = 4 X 10(4) M-1. Additional vinblastine molecules can bind less strongly to tubulin in probably nonspecific fashion, and the previous reports of two specific sites on alpha-beta tubulin for binding vinblastine are incorrect. The self-association constant K2 for liganded tubulin is 1.8 X 10(5) M-1. This analysis is fully consistent with the conclusions derived earlier from the linked function analysis of the vinblastine-induced tubulin self-association [Na, G. C., & Timasheff, S. N. (1980) Biochemistry 19, 1347-1354; Na, G. C., & Timasheff, S. N. (1980) Biochemistry 19, 1355-1365].     

Self-association of 1,N6-ethenoadenosine 5'-triphosphate (epsilon-ATP) and promotion by metal ions

The concentration dependence of the chemical shifts of the protons H-2, H-8, H-10, H-11, and H-1' of 1,N6-ethenoadenosine 5'-triphosphate (epsilon-ATP4-) has been measured in D2O at 27 degrees C to elucidate the self-association. The results are consistent with the isodesmic model of indefinite noncooperative stacking; the association constant, K = 1.9 +/- 0.2 M-1, is only slightly larger than the value for ATP4-, K = 1.3 +/- 0.2 M-1. The self-stacking tendency of epsilon-ATP4- is promoted by a factor of about 4 by (1:1) coordination of Mg2+ to the phosphate moieties, which probably links these together and also neutralizes part of the negative charge; Zn2+ is only about half as effective as Mg2+ in promoting the self-association. This result contrasts with the self-stacking properties of Mg(ATP)2- and Zn(ATP)2-, Zn2+ being considerably more effective in a 1:1 ATP system. It is assumed that due to the enhanced affinity of the N-6/N-7 site of the epsilon-adenine moiety towards Zn2+ repulsion of the bases occurs resulting thus in a lower stacking tendency; in addition, the simple isodesmic model is no longer applicable to the Zn(epsilon-ATP)2- system: to explain the experimental data, the formation of an intermolecular metal ion bridge in the dimeric stacks is proposed. The experimental conditions required for studies of the properties of monomeric epsilon-ATP systems are described. Care should be exercised in employing epsilon-ATP as a probe for ATP.     

Studies on human serum high-density lipoproteins. Self-association of human serum apolipoprotein A-II in aqueous solutions.

Some of the solution properties of pure preparations of human serum high-density apolipoprotein A-II were studied by sedimentation equilibrium ultracentrifugation, conducted at different apoprotein concentrations and at several speeds. The concentration dependence of the apparent weight average molecular weight indicated that apolipoprotein A-II, when dissolved in 0.02 MEDTA (pH 8.6), undergoes self-association. Over a protein concentration range between 0.8 and 1.5 mg/ml, the self-association could best be described by a monomer-dimer-trimer step association, although indefinite self-association could not be ruled out. The equilibrium constants obtained were sufficient to describe the system over the concentration range investigated.     

A biophysical model of lysozyme self-association.

The concentration dependence of the self-association of hen egg-white lysozyme was studied spectrophotometrically at pH 6, 25 degrees C, and low ionic strength within a concentration range of 2.5-50 micrograms/ml. Of several possible mathematical models, an ideal or nearly ideal two-stage model representing an equilibrium between monomers and dimers and between dimers and trimers best describes the data. The dimerization and trimerization constants were found to be 2.5 x 10(-2) and 38 x 10(-2). Dialysis experiments confirmed that the mechanism involves three associating species. A "head-to-tail" contact between the associating sites was inferred from dialysis studies of the effect of indole and imidazole derivatives on lysozyme self-association.     

Self-association of lysozyme. Thermochemical measurements: effect of chemical modification of Trp-62, Trp-108, and Glu-35.

Heats of dilution and of saccharide binding for hen egg white lysozyme have been measured at 30 degrees, 0.1 ionic strength, and pH 7 over the range 3 to 95 mg of protein/ml. The concentration dependence of the apparent relative molar enthalpy of lysozyme derived from these results gives the thermodynamic parameters for the formation of an intermolecular contact in an indefinite (head-to-tail) self-association process as delta G 0 = -3.9 kcal/mol, delta H 0 = -6.4 kcal/mol, and delta S 0 = -8,3 e.u. Oxindolealanine-62-lysozyme does not undergo self-association reactions that can be detected calorimetrically. This derivative reacts with native lysozyme to form hybrid polymeric species with free energy and enthalpy of interaction similar to those for the polymers of native lysozyme. These results are consistent with the intermolecular contact in the self-assocaition of lysozyme being asymmetric (head-to-tail). The heat of dilution of the derivative of lysozyme in which Glu-35 is blocked as the ester with oxindolealanine-108 is like that observed for native lysozyme in acid solution and is independent of pH. The concentration difference spectrum that develops through self-association is of the shape expected for introduction of an indole chromophore into a charge-free region of the intermolecular contact. The foregoing results indicate that Glu-35 and Trp-62 are part of the contact, that perturbation of Trp-108 does not make a principle contribution to the concentration difference spectrum, and that no acid group other than Glu-35 is perturbed by self-association. There is a small change in the heat of (GlcNAc)3 binding over the range 0.005 to 0.034 M saccharide. These data give the value of -1 kcal/mol for the enthalpy change for formation of the 2:1 saccharide-enzyme complex (ES2) from ES and S.