Mathematical analysis of ligand-induced monomerization and dimerization in the monomer dimer equilibrium of proteins. Application to D-amino acid oxidase.

We have mathematically analyzed ligand-induced monomerization and dimerization in a protein monomer-dimer equilibrium system, in which the monomer has one and the dimer two binding sites. These dimer sites have the same binding constants for the first ligand but may cooperatively interact when one of them is occupied by a ligand molecule. In this system, the apparent dimerization constant and the apparent molecular weight are functions of free ligand concentration, and depend on the intrinsic binding constants of the ligand molecule to the monomer and the dimer. The behavior of these functions is classified into 17 cases according to the values of the three intrinsic binding constants, and some calculated examples are shown graphically for selected parameters. The theory was also applied to D-amino acid oxidase [EC 1.4.3.3], a flavoprotein, and the pH dependence of the apparent dimerization constant and the apparent molecular weight in the presence of ligand, p-aminobenzoate, were studied theoretically using parameters obtained in our previous experiments (5).     

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, ...).     

Aminoacyl-tRNA synthetases from Bacillus stearothermophilus. Asymmetry of substrate binding to tyrosyl-tRNA synthetase.

The interaction of L-tyrosine, L-tyrosyladenylate and tRNA-Tyr with tyrosyl-tRNA synthetase from Bacillus stearothermophilus was studied by equilibrium dialysis, gel filtration and fluorescence spectroscopy. The enzyme, which consists of two identical subunits (mol. wt 2 x 44000), binds only a single molecule of L-tyrosine per dimer with a K-d of 2 x 10-5 M at pH 7.8 and 23 degrees C. The tyrosyl-tRNA synthetase--tyrosyladenylate complex which was isolated by gel filtration also has one adenylate bound per dimeric enzyme molecule. In contrast, two tRNA-Tyr molecules bind per enzyme dimer, but the two binding sites are not equivalent having K-d values of 2 x 10-7 M and 1.3 x 10-6 M respectively at pH 6.5 and 25 degrees C. Since crystallographic analysis of the free enzyme [2] shows that the monomer is the asymmetric unit, the data indicate that substrate binding induces asymmetry in the enzyme.     

Preparation of monomeric cytochrome C oxidase: its kinetics differ from those of the dimeric enzyme

Bovine cytochrome c oxidase in 0.1% dodecylmaltoside, 50 mM KCl and 10 mM Tris-HCl, pH 7.4 is monodisperse with an apparent Mr 360,000 (dimer) as estimated by filtration on Ultrogel AcA 34. In the absence of added KCl the apparent Mr is 160,000 (monomer). The dimeric enzyme has a high and a low affinity site for cytochrome c; the monomeric, only the high affinity site. The results are consistent with the existence of one active site per monomer, having high affinity for cytochrome c. Since in a dimer the two sites are in close proximity, the binding of the first molecule of cytochrome c to the first site hinders the binding of the second molecule to the second site. The kinetic data fit with a model of homotropic negative cooperativity. The effect of salts on the cytochrome c oxidase kinetics is also present in isolated bovine heart mitochondria.     

pH dependency of the reactions catalyzed by chorismate mutase-prephenate dehydrogenase from Escherichia coli

The variation with pH of the kinetic parameters associated with the mutase and dehydrogenase reactions catalyzed by chorismate mutase-prephenate dehydrogenase has been determined with the aim of elucidating the role that ionizing amino acid residues play in binding and catalysis. The pH dependency of log V for the dehydrogenase reaction shows that the enzyme possesses a single ionizing group with a pK value of 6.5 that must be unprotonated for catalysis. This same group is observed in the V/Kprephenate, as well as in the V/KNAD, profile. The V/Kprephenate profile exhibits a second ionizing residue with a pK value of 8.4 that must be protonated for the binding of prephenate to the enzyme. For the mutase reaction, the V/Kchorismate profile indicates the presence of three ionizing residues at the active site. Two of these residues, with similar pK values of about 7, must be protonated, while the third, with a pK value of 6.3, must be unprotonated. It can be concluded that all three groups are concerned with the binding of chorismate to the enzyme since the maximum velocity of the mutase reaction is essentially independent of pH. This conclusion is confirmed by the finding that the Ki profile for the competitive inhibitor, (3-endo,8-exo)-8-hydroxy-2-oxabicyclo[3.3]non-6-ene-3,5-dicarboxylic acid, shows the same three ionizing groups as observed in the V/Kchorismate profile. By contrast, the Ki profile for carboxyethyldihydrobenzoate shows only one residue, with a pK value of 7.3, that must be protonated for binding of the inhibitor.(ABSTRACT TRUNCATED AT 250 WORDS)     

Proton release during the reductive half-reaction of D-amino acid oxidase

Changes in the net protonation of D-amino acid oxidase during binding of competitive inhibitors and during reduction by amino acids have been monitored using phenol red as a pH indicator. At pH 8.0, no uptake or release of protons from solution occurs upon binding the inhibitors benzoate, anthranilate, picolinate, or L-leucine. The Kd values for both picolinate and anthranilate were determined from pH 5.4 to 9.0. The results are consistent with a single group on the enzyme having a pK of 6.3 which must be unprotonated for tight binding, as is the case with benzoate binding (Quay, S., and Massey, V. (1977) Biochemistry 16, 3348-3354) and with tight binding of the inhibitor form with an unprotonated amino group. Upon reduction of the enzyme by amino acid substrates, two protons are released to solution. The first is released concomitantly with reduction to the reduced enzyme-imino acid charge transfer complex. The second is released only upon dissociation of the charge transfer complex to free reduced enzyme and imino acid. The first proton is assigned as arising from the amino acid group and the second from the amino acid alpha-hydrogen. These results are consistent with the flavin in reduced D-amino acid oxidase being anionic.     

LexA repressor forms stable dimers in solution. The role of specific dna in tightening protein-protein interactions

Cooperativity in the interactions among proteins subunits and DNA is crucial for DNA recognition. LexA repressor was originally thought to bind DNA as a monomer, with cooperativity leading to tighter binding of the second monomer. The main support for this model was a high value of the dissociation constant for the LexA dimer (micromolar range). Here we show that the protein is a dimer at nanomolar concentrations under different conditions. The reversible dissociation of LexA dimer was investigated by the effects of hydrostatic pressure or urea, using fluorescence emission and polarization to monitor the dissociation process. The dissociation constant lies in the picomolar range (lower than 20 pM). LexA monomers associate with an unusual large volume change (340 ml/mol), indicating the burial of a large surface area upon dimerization. Whereas nonspecific DNA has no stabilizing effect, specific DNA induces tightening of the dimer and a 750-fold decrease in the K(d). In contrast to the previous model, a tight dimer rather than a monomer is the functional repressor. Accordingly, the LexA dimer only loses its ability to recognize a specific DNA sequence by RecA-induced autoproteolysis. Our work provides insights into the linkage between protein-protein interactions, DNA recognition, and DNA repair.     

An equilibrium binding study of the interaction of fructose 6-phosphate and fructose 1,6-bisphosphate with rabbit muscle phosphofructokinase.

Equilibrium binding studies of the interaction of rabbit muscle phosphofructokinase with fructose 6-phosphate and fructose 1,6-bisphosphate have been carried out at 5 degrees in the presence of 1-10 mM potassium phosphate (pH 7.0 and 8.0), 5 mM citrate (pH 7.0), or 0.22 mm adenylyl imidodiphosphate (pH 7.0 and 8.0). The binding isotherms for both fructose 6-phosphate and fructose 1,6-bisphosphate exhibit negative cooperativity at pH 7.0 and 8.0 in the presence of 1-10 mM potassium phosphate at protein concentrations where the enzyme exists as a mixture of dimers and tetramers (pH 7.0) or as tetramers (pH 8.0) and at pH 7.0 in the presence of 5 mM citrate where the enzyme exists primarily as dimers. The enzyme binds 1 mol of either fructose phosphate/mol of enzyme monomer (molecular weight 80,000). When enzyme aggregation states smaller than the tetramer are present, the saturation of the enzyme with either ligand is paralleled by polymerization of the enzyme to tetramer, by an increase in enzymatic activity and by a quenching of the protein fluorescence. At protein concentrations where aggregates higher than the tetramer predominate, the fructose 1,6-bisphosphate binding isotherms are hyperbolic. These results can be quantitatively analyzed in terms of a model in which the dimer is associated with extreme negative cooperativity in binding the ligands, the tetramer is associated with less negative cooperativity, and aggregates larger than the tetramer are associated with little or no cooperativity in the binding process. Phosphate is a competitive inhibitor of the fructose phosphate sites at both pH 7.0 and 8.0, while citrate inhibits binding in a complex, noncompetitive manner. In the presence of the ATP analog adenylyl imidodiphosphate, the enzyme-fructose 6-phosphate binding isotherm is sigmoidal at pH 7.0, but hyperbolic at pH 8.0. The characteristic sigmoidal initial velocity-fructose 6-phosphate isotherms for phosphofructokinase at pH 7.0, therefore, are due to an heterotropic interaction between ATP and fructose 6-phosphate binding sites which alters the homotropic interactions between fructose 6-phosphate binding sites. Thus the homotropic interactions between fructose 6-phosphate binding sites can give rise to positive, negative, or no cooperativity depending upon the pH, the aggregation state of the protein, and the metabolic effectors present. The available data suggest the regulation of phosphofructokinase involves a complex interplay between protein polymerization and homotropic and heterotropic interactions between ligand binding sites.     

Substrate and Inhibitor-induced Dimerization and Cooperativity in Caspase-1 but Not Caspase-3

Caspases are intracellular cysteine-class proteases with aspartate specificity that is critical for driving processes as diverse as the innate immune response and apoptosis, exemplified by caspase-1 and caspase-3, respectively. Interestingly, caspase-1 cleaves far fewer cellular substrates than caspase-3 and also shows strong positive cooperativity between the two active sites of the homodimer, unlike caspase-3. Biophysical and kinetic studies here present a molecular basis for this difference. Analytical ultracentrifugation experiments show that mature caspase-1 exists predominantly as a monomer under physiological concentrations that undergoes dimerization in the presence of substrate; specifically, substrate binding shifts the K_D for dimerization by 20-fold. We have created a hemi-active site-labeled dimer of caspase-1, where one site is blocked with the covalent active site inhibitor, benzyloxycarbonyl-Val-Ala-Asp-fluoromethylketone. This hemi-labeled enzyme is about 9-fold more active than the apo-dimer of caspase-1. These studies suggest that substrate not only drives dimerization but also, once bound to one site in the dimer, promotes an active conformation in the other monomer. Steady-state kinetic analysis and modeling independently support this model, where binding of one substrate molecule not only increases substrate binding in preformed dimers but also drives the formation of heterodimers. Thus, the cooperativity in caspase-1 is driven both by substrate-induced dimerization as well as substrate-induced activation. Substrate-induced dimerization and activation seen in caspase-1 and not in caspase-3 may reflect their biological roles. Whereas caspase-1 cleaves a dramatically smaller number of cellular substrates that need to be concentrated near inflammasomes, caspase-3 is a constitutively active dimer that cleaves many more substrates located diffusely throughout the cell.     

Kinetics of primary interaction of D-amino acid oxidase with its substrate

The formation of an initial enzyme-substrate complex of D-amino acid oxidase (D-amino acid: O2 oxidoreductase (deaminating), EC 1.4.3.3) and its substrate, D-alpha-aminobutyric acid, was studied kinetically at lower temperature and pH than their optima. The time course of the absorbance change at 516 nm in an anaerobic reaction was not exponential, but biphasic. The ratio of the rapidly reacting component to the slowly reacting one was decreased upon lowering of the temperature. The reaction rate of the rapidly reacting component depended on substrate concentration and gave a linear Arrhenius plot in the temperature range from -10 to +15 degrees C. The reaction rate of the slowly reacting component also depended on both substrate concentration and temperature. The rapidly reacting and slowly reacting components could be assigned to the substrate binding of the dimer and monomer, respectively, of this enzyme.     

Kinetic properties of rat kidney D-amino acid oxidase associated with peroxisomes

In contrast to hog kidney D-amino acid oxidase, the v vs s plots of D-amino acid oxidase in homogenized rat kidney did not have the form of a rectangular hyperbola, and showed an apparent negative cooperativity. After subcellular fractionation of rat kidney, both of the oxidases in the supernatant fraction and the peroxisomal fraction showed Michaelis-Menten type kinetics. The Km values for D-alanine and D-proline of the peroxisomal fraction were significantly lower than those of the supernatant fraction. The partially purified enzyme from the peroxisomal fraction showed the same kinetic properties as the supernatant fraction. These facts suggest that the two types of rat kidney D-amino acid oxidase were originally identical and that some interaction between the enzyme and peroxisomes is physiologically important for the function of the enzyme.     

Temperature-induced changes in the coenzyme environment of D-amino acid oxidase revealed by the multiple decays of FAD fluorescence.

A temperature-dependent change in the microenvironment of the coenzyme, FAD, of D-amino acid oxidase was investigated by means of steady-state and picosecond time-resolved fluorescence spectroscopy. Relative emission quantum yields from FAD bound to D-amino acid oxidase revealed the temperature transition when concentration of the enzyme was lowered. The observed fluorescence decay curves were well described with four-exponential decay functions. The amplitude of the shortest lifetime (tau 0), approximately 25 ps, was always negative, which indicates that the fluorescence of D-amino acid oxidase at approximately 520 nm appears after a metastable state of the excited isoalloxazine decays. The other components with positive amplitudes were assigned to dimer or associated forms of the enzyme, monomer, and free FAD dissociated from the enzyme. Ethalpy and entropy changes of intermediate states in the quenching processes were evaluated according to the absolute rate theory. The temperature transition was much more pronounced in the monomer than in the dimer or associated forms of the enzyme.     

Association-dissociation of the flavoprotein hog kidney D-amino acid oxidase. Determination of the monomer-dimer equilibrium constant and the energetics of subunit association.

The enzyme concentration dependence of spectrophotometric titrations of hog kidney D-amino acid oxidase [EC 1.4.3.3] with p-aminobenzoate was studied. The monomer-dimer equilibrium constant of the oxidized holoenzyme at 25 degrees C was estimated to be 7 X 10(5)M-1 at pH 7.5 and 4X 10(6)M-1 at pH 8.3. The energetics of subunit association are discussed.     

The effect of pH on the kinetics of arylsulphatases A and B.

The effect of pH on the kinetics of rat liver arylsulphatases A and B is very similar and shows that two groups with pK values of 4.4-4.5 and 5.7-5.8 are important for enzyme activity. Substrate binding has no effect on the group with a pK of 4.4-4.5; however, the pK of the second group is shifted to 7.1-7.5 in the enzyme-substrate complex. An analysis of the effect of pH on the Ki for sulphate inhibition suggests that HSO4-is the true product. A model is proposed that involves the two ionizing groups identified in the present study in a concerted general acid-base-catalysed mechanism.     

Reversible dissociation of dimeric tyrosyl-tRNA synthetase by mutagenesis at the subunit interface

Dimeric tyrosyl-tRNA synthetase from Bacillus stearothermophilus exhibits half-of-the-sites reactivity and negative cooperativity in binding of tyrosine. Protein engineering has been applied to the enzyme to determine whether it can be reversibly dissociated into monomers and if the monomers are active. The target for mutation is the residue Phe-164. The side chain of Phe-164 in one subunit interacts with its symmetry-related partner in the other. Mutation of Phe-164----Asp-164 gives a mutant [TyrTS(Asp-164)] that undergoes dissociation at high pH when the aspartate residues are ionized. The monomer is inactive and does not bind tyrosine. Dissociation is enhanced at low concentrations of enzyme by a mass action effect. Kinetic and binding measurements on TyrTS(Asp-164) with tyrosine and tyrosyl adenylate show that the monomer has very weak affinity for these ligands. Accordingly, dimerization is favored by high concentrations of tyrosine and ATP since the dimeric form has a high affinity for the ligands. The presence of tRNA does not encourage dimer formation, and so it must bind to the monomer. TyrTS(Asp-164) is fully active at pH 6 where dimerization is favored but has low activity at pH 7.8 where dissociation is favored. It should now prove possible to engineer heterodimers that may be used to investigate the subunit interactions further.     

Energetics of subunit dimerization in bacteriophage lambda cI repressor: linkage to protons, temperature, and KCl.

A common feature of gene regulatory systems is the linkage between reversible protein oligomerization and DNA binding. Experimental dissection using temperature dependence of the subunit-subunit energetics and their linkage to processes such as ion binding and release is necessary for characterization of the chemical forces that contribute to cooperativity and site specificity. We have therefore studied the effects of temperature, proton activity, and monovalent salt on monomer-dimer assembly of the lambda cI repressor using a recently developed gel chromatographic procedure. This technique has made possible studies in the previously inaccessible picomolar concentration ranges where the assembly reactions occur. Upon formation of the dimer interface in the range pH 5-9, we find an overall absorption of protons which is temperature-dependent. The dimerization reaction displays a large negative enthalpy of association at all conditions studied (pH 5, 7, and 9). The reaction is also dependent on monovalent salt concentration: subunit association is weaker at low-salt conditions. The results suggest that a repulsive interaction between negatively charged side chains (i.e., aspartates and glutamates) on each monomer surface is attenuated by increasing concentrations of KCl. Formation of the dimer interface may be mediated by absorption of cations which stabilize the complex.     

Effect of pH on the interaction of benzoate and D-amino acid oxidase.

The kinetic and equilibrium dissociation constants of the reversible binding of benzoate to hog kidney D-amino acid oxidase (DAAO) were studied at 19 degrees C over the pH range 5.3-10.5 by means of a stopped-flow apparatus and spectrophotometric titrations. A simple bimolecular reaction of the form second order-first order was observed; a two-step reaction was seen. Analysis of the pH dependence of the bimolecular rate constants and equilibrium dissociation constants is consistent with three ionizable groups which are important for benzoate binding. The pK values of the enzyme-related ionization are 6.3, 9.2, and 9.6. Analysis of the change in extinction coefficient at 360 nm indicates the pK of 9.6 can be assigned to the 3-imino group of the enzyme-bound flavin. The effect of benzoate on the apparent pK for the ionization of the 3-imino group of the enzyme-bound Fad has been reexamined. The presence of benzoate causes an apparent shift of this ionization from a pK value of 9.6 to 10.7.     

Immobilization and characterization of D-amino acid oxidase.

Optimal conditions with respect to pH, concentration of glutaraldehyde and enzyme, and order of addition of enzyme and crosslinking reagent were established for the immobilization of hog kidney D-amino acid oxidase to an attapulgite support. Yields of 40 to 70% were generally attained although when low concentrations of enzyme were used yields were consistently greater than 100%. It is suggested that this is due to a dimer leads to monomer shift at low protein concentrations. The stability of soluble D-amino acid oxidase was dependent on the buffer in which it was stored (pyrophosphate-phosphate greater than borate greater than Tris). Stability of immobilized enzyme was less than soluble in pyrophosphate-phosphate buffer, but storage in the presence of FAD improved stability. In addition, treatment of stored, immobilized enzyme with FAD before assay restored some of its activity. The immobilized D-amino acid oxidase was less stable to heat (50 degrees C) than the soluble enzyme from pH 6 to 8 but was more stable above and below these values. Apparent Km values for D-alanine, D-valine, and D-tryptophan decreased for the immobilized enzyme compared to the soluble.     

Ionization of His 55 at the dimer interface of dynein light-chain LC8 is coupled to dimer dissociation

LC8 is a highly conserved light-chain subunit of cytoplasmic dynein that interacts with a wide variety of cellular proteins and is presumed to play a fundamental role in dynein assembly and cargo recruitment and in the assembly of protein complexes unrelated to dynein. LC8 is a dimer at physiological pH but dissociates to a folded monomer at pH < 4.8. We have suggested that acid-induced dimer dissociation is due to protonation of His 55, which is stacked against His 55' and completely buried in the dimer interface. In this work, we show that the pH-induced dissociation is reversible and indeed governed by the ionization state of His 55. Mutagenesis of His 55 to Lys results in a monomer in the pH range of 3-8, while the mutation to Ala results in a dimer in the same pH range. Mutations that disrupt intermolecular hydrogen bonds between Tyr 65 and Lys 44' and His 55 and Thr 67' do not change the association state of the dimer. Titration curves for His 55 and the two other histidines, His 72 and 68, were determined by (13)C-(1)H NMR for H55K and for WT-LC8 in the monomeric and dimeric states. The pK(a) values of His 72 and His 68 are 6 in the WT dimer and 6.2-6.5 in monomeric H55K, while the pK(a) of His 55 is about 4.5 in the WT dimer. These results indicate that deprotonation of His 55 is linked to dimer formation and that mutation of His 55 to a small neutral residue or to a positively charged residue uncouples the protonation and dissociation processes.