Regulation of oxygen affinity by quaternary enhancement: Does hemoglobin ypsilanti represent an allosteric intermediate?

Recent crystallographic studies on the mutant human hemoglobin Ypsilanti (beta 99 Asp-->Tyr) have revealed a previously unknown quaternary structure called "quaternary Y" and suggested that the new structure may represent an important intermediate in the cooperative oxygenation pathway of normal hemoglobin. Here we measure the oxygenation and subunit assembly properties of hemoglobin Ypsilanti and five additional beta 99 mutants (Asp beta 99-->Val, Gly, Asn, Ala, His) to test for consistency between their energetics and those of the intermediate species of normal hemoglobin. Overall regulation of oxygen affinity in hemoglobin Ypsilanti is found to originate entirely from 2.6 kcal of quaternary enhancement, such that the tetramer oxygenation affinity is 85-fold higher than for binding to the dissociated dimers. Equal partitioning of this regulatory energy among the four tetrameric binding steps (0.65 kcal per oxygen) leads to a noncooperative isotherm with extremely high affinity (pmedian = .14 torr). Temperature and pH studies of dimer-tetramer assembly and sulfhydryl reaction kinetics suggest that oxygenation-dependent structural changes in hemoglobin Ypsilanti are small. These properties are quite different from the recently characterized allosteric intermediate, which has two ligands bound on the same side of the alpha 1 beta 2 interface (see ref. 1 for review). The combined results do, however, support the view that quaternary Y may represent the intermediate cooperativity state of normal hemoglobin that binds the last oxygen.     

Energetics of subunit assembly and ligand binding in human hemoglobin.

An extensive and self-consistent set of thermodynamic properties has recently been established for the coupled processes of subunit assembly and ligand binding (oxygen and protons) in human hemoglobin. The resulting thermodynamic values permit a consideration of the possible sources of energetic terms accounting for stability of the tetrameric quaternary structures at different stages of ligation, and of the possible sources of cooperative energy. The analysis indicates that: (a) The change in buried surface ara upon oxygenation (i.e., hydrophobic stabilization) does not play a dominant role in stabilizing the unliganded tetramer relative to the liganded tetramer. (b) The pattern of enthalpic and entropic contributions to the free energies of dimer-tetramer. (c) The thermodynamic results are consistent with a dominant role of increased hydrogen bond formation in the deoxy quaternary structure. (d) Within tetramers the variation in free energy for successive oxygenation steps arises from both enthalpic and entropic contributions and the enthalpic contributions are almost entirely attributable to the heats of Bohr proton release. At pH 7.4 the pattern of thermodynamic values suggests that a large contribution to the free energy of cooperativity may arise from the energetics of Bohr proton release. It is suggested that a combination of proton ionization and hydrogen bonding may account for the main energetic features of cooperativity. Possible contributions from fluctuation behavior cannot presently be evaluated.     

Studies on cobalt myoglobins and hemoglobins. Preparation of isolated chains containing cobaltous protoporphyrin IX and characterization of their equilibrium and kinetic properties of oxygenation and EPR spectra.

Human hemoglobin containing cobalt protoporphyrin IX or cobalt hemoglobin has been separated into two functionally active alpha and beta subunits using a new method of subunit separation, in which the -SH groups of the isolated subunits were successfully regenerated by treatment with dithiothreitol in the presence of catalase. Oxygen equilibria of the isolated subunit chains were examined over a wide range of temperature using Imai's polarographic method (Imai, K., Morimoto, H., Kotani, M., Watari, H., and Kuroda, M. (1970) Biochim. Biophys. Acta 200, 189-196). Kinetic properties of their reversible oxygenation were investigated by the temperature jump relaxation method at 16 degrees. Electron paramagnetic resonance characteristics of the molecules in both deoxy and oxy states were studies at 77K. The oxygen affinity of the individual regenerated chains was higher than that of the tetrameric cobalt hemoglobin and was independent of pH. The enthalpy changes of the oxygenation have been determined as -13.8 kcal/mol and -16.8 kcal/mol for the alpha and beta chains, respectively. The rates of oxygenation were similar to those reported for iron hemoglobin chains, whereas those of deoxygenation were about 10(2) times larger. The effects of metal substitution on oxygenation properties of the isolated chains were correlated with the results obtained previously on cobalt hemoglobin and cobalt myoglobin. The EPR spectrum of the oxy alpha chain showed a distinctly narrowed hyperfine structure in comparison with that of the oxy beta chain, indicating that the environment around the paramagnetic center (the bound oxygen) is different between these chains. In the deoxy form, EPR spectra of alpha and beta chains were indistinguishable. These observations suggest that one of the inequivalences between alpha and beta chains might exist near the distal histidine group.     

Mutagenic dissection of hemoglobin cooperativity: effects of amino acid alteration on subunit assembly of oxy and deoxy tetramers.

Free energies of oxygen-linked subunit assembly and cooperative interaction have been determined for 34 molecular species of human hemoglobin, which differ by amino acid alterations as a result of mutation or chemical modification at specific sites. These studies required the development of extensions to our earlier methodology. In combination with previous results they comprise a data base of 60 hemoglobin species, characterized under the same conditions. The data base was analyzed in terms of the five following issues. (1) Range and sensitivity to site modifications. Deoxy tetramers showed greater average energetic response to structural modifications than the oxy species, but the ranges are similar for the two ligation forms. (2) Structural localization of cooperative free energy. Difference free energies of dimer-tetramer assembly (oxy minus deoxy) yielded delta Gc for each hemoglobin, i.e., the free energy used for modulation of oxygen affinity over all four binding steps. A structure-energy map constructed from these results shows that the alpha 1 beta 2 interface is a unique structural location of the noncovalent bonding interactions that are energetically coupled to cooperativity. (3) Relationship of cooperativity to intrinsic binding. Oxygen binding energetics for dissociated dimers of mutants strongly indicates that cooperativity and intrinsic binding are completely decoupled by tetramer to dimer dissociation. (4) Additivity, site-site coupling and adventitious perturbations. All these are exhibited by individual-site modifications of this study. Large nonadditivity may be correlated with global (quaternary) structure change. (5) Residue position vs. chemical nature. Functional response is solely dictated by structural location for a subset of the sites, but varies with side-chain type at other sites. The current data base provides a unique framework for further analyses and modeling of fundamental issues in the structural chemistry of proteins and allosteric mechanisms.     

Experimental resolution of cooperative free energies for the ten ligation species of cobalt(II)/iron(II)-CO hemoglobin.

Cooperative free energies have been determined for the 10 ligation species of human hemoglobin in the Co(II)/Fe(II)-CO system. In this system, subunits containing unligated cobaltous hemes coexist in the same tetramer with naturally occurring ferrous hemes that are ligated with carbon monoxide. Tetramers comprising the 10 structurally unique combinations of ligated and unligated subunits were characterized in terms of their dimer-tetramer assembly free energies. By use of the thermodynamic linkage between assembly and ligation, the experimentally resolved values were used to obtain the corresponding cooperative free energies (i.e., the differences between actual free energies of ligation and the summed contributions of intrinsic values). The results obtained are in general accord with previous findings on this same system (Imai et al., 1980). The present study extends this earlier work by resolving the cooperative properties of each configurational isomer of the doubly ligated tetramers. The 10 ligation species were found to distribute into 5 discrete cooperative free energy levels according to a combinatorial code which includes, as a special case, the code found previously with cyanomethemoglobin and manganese-substituted hemoglobin (Smith et al., 1987; Daugherty et al., 1991). This distribution exhibits additional characteristics found in the oxygenation of normal ferrous hemoglobin including the quaternary enhancement effect (Mills & Ackers, 1979a,b). These results, and those of the following paper (Doyle et al., 1991), strongly support the premise that a common set of qualitative rules governs the cooperative interactions in hemoglobin irrespective of     

The energetics of ligand-linked subunit assembly in hemoglobin require a third allosteric structure

For partially ligated cyanomet hemoglobins, Smith and Ackers (Proc. Natl. Acad. Sci. U.S.A. 71 (1985) 4312) determined the free energies of dimer-tetramer assembly for all of the partially ligated species using a combination of kinetic and equilibrium methods. They found a third apparent cooperative free energy level in addition to those of deoxy- and cyanomethemoglobin. Using cryogenic methods, Perrella et al. (Biophys. Chem. 35 (1990) 97) confirmed the existence of the third cooperative free energy level, but found a different energy level assignment for one of the species. These combined studies have yielded a solid data base for considering mechanistic issues. The number of cooperative free energies delta Gc can, in principle, be different from the number of molecular forms which have unique free energies of heme-heme interaction, since delta Gc can be an average over conformational subspecies. Furthermore, since the delta Gc values are determined from free energies of dimer-tetramer assembly, it is necessary to evaluate possible contributions from dimeric properties, and from quaternary constraint (or enhancement) effects associated with subunit assembly. In this paper we analyze the observed distributions of apparent delta Gc values among the various ligation states in terms of mechanisms based on two interconvertible molecular forms (R and T) under the most general conditions in which (i) dimers may be cooperative, (ii) ligand affinities of alpha-subunits may be different within tetramers and dimers, and the same for beta-subunit affinities, and (iii) dimers need not be halves of R-state tetramers. It is found that the experimental distributions are inconsistent with even the most general model of the two-state class; thus, at least three molecular forms of tetramer are required, each with an individually different value of cooperative free energy (heme-heme interaction). This result implies the existence of at least three corresponding molecular structures; while a degeneracy of multiple structures into only a few dominant free energy levels is frequently to be expected, the reverse situation is extremely unlikely.     

What the intermediate compounds in ligand binding to hemoglobin tell about the mechanism of cooperativity

The populations of the intermediates in concentrated solutions of hemoglobin A0 equilibrated at various PCO values, pH 7.0, 0.1 M KCl, and 20 degrees C, have been determined using cryogenic methods. Data on CO saturations and distributions of intermediates were analysed in terms of the free energies of dimer-tetramer assembly of the intermediates (G.K. Ackers and F.R. Smith, Annu. Rev. Biophys. Chem. 16 (1987) 583). The cooperative free energy value of the singly ligated species was approximately one-half the total cooperative energy. The cooperative free energy value of the doubly ligated species was not significantly different from that of carboxyhemoglobin. Because of experimental error, the observed difference in concentrations among the populations of the doubly ligated species cannot be taken as indicative of their functional heterogeneity. Additional studies on some NO intermediates have emphasized that (alpha 1 beta 1)(alpha 2 beta 2)X, a key intermediate in the formulation of the 'third-state' hypothesis in the deoxy/cyanomethemoglobin system, has a free energy value for dimer-tetramer assembly which is critically dependent on the nature of the ligand X as suggested by Ackers and Smith (reference as cited above).     

Calculation of the energy difference between the quaternary structures of deoxy- and oxyhemoglobin.

The energy difference between the quaternary structures of deoxy- and oxyhemoglobin is evaluated on the basis of the atomic coordinates determined by X-ray diffraction analysis. Calculation of the van der Waals interaction between subunits shows that in a hemoglobin molecule as a whole, the interaction is more attractive in the oxy form than in the deoxy form by about 8 kcal/mol, and that in each pair of two subunits except the pair alpha1alpha2, the interaction energy varies by about 15 kcal/mol. The electrostatic interactions originating in the partial charges on all constituent atoms of hemoglobin and in the polar residues on the surface of hemoglobin make only a small contribution to the energy difference between the quaternary structures of deoxy- and oxyhemoglobin. Thus, the contribution of the clusters of the polar residues in the internal cavity between like subunits and also of the freedom of rotation of the C-terminal of each subunit in oxyhemoglobin may be important energetically in the transition from deoxy to oxy quaternary structure. In this point, the present calculation supports Perutz' model, but suggests necessity of further investigations on the transitional characteristics of the quaternary structure in the intermediate steps of oxygenation. The discussion on the transitional characteristics is given in the last section.     

Functional properties of human hemoglobins synthesized from recombinant mutant beta-globins.

The previous and following articles in this issue describe the recombinant synthesis of three mutant beta-globins (beta 1 Val----Ala, beta 1 Val----Met, and the addition mutation beta 1 + Met), their assembly with heme and natural alpha chains into alpha 2 beta 2 tetramers, and their X-ray crystallographic structures. Here we have measured the equilibrium and kinetic allosteric properties of these hemoglobins. Our objective has been to evaluate their utility as surrogates of normal hemoglobin from which further mutants can be made for structure-function studies. The thermodynamic linkages between cooperative oxygenation and dimer-tetramer assembly were determined from global regression analysis of multiple oxygenation isotherms measured over a range of hemoglobin concentration. Oxygen binding to the tetramers was found to be highly cooperative (maximum Hill slopes from 3.1 to 3.2), and similar patterns of O2-linked subunit assembly free energies indicated a common mode of cooperative switching at the alpha 1 beta 2 interface. The dimers were found to exhibit the same noncooperative O2 equilibrium binding properties as normal hemoglobin. The most obvious difference in oxygen equilibria between the mutant recombinant and normal hemoglobins was a slightly lowered O2 affinity. The kinetics of CO binding and O2 dissociation were measured by stopped-flow and flash photolysis techniques. Parallel studies were carried out with the mutant and normal hemoglobins in the presence and absence of organic phosphates to assess their allosteric response to phosphates. In the absence of organic phosphates, the CO-binding and O2 dissociation kinetic properties of the mutant dimers and tetramers were found to be nearly identical to those of normal hemoglobin. However, the effects of organic phosphates on CO-binding kinetic properties of the mutants were not uniform: the beta 1 + Met mutant was found to deviate somewhat from normalcy, while the beta 1 Val----Met mutant reproduced the native allosteric response. Further characterization of the allosteric properties of the beta 1 Val----Met mutant was made by measuring the pH dependence of its overall oxygen affinity by tonometry. Regulation of oxygen affinity by protons was found to be nearly identical to normal hemoglobin from pH 5.8 to 9.3 (0.52 +/- 0.07 protons released per oxygen bound at pH 7.4). The present study demonstrates that the equilibrium and kinetic functional properties of the recombinant beta 1 Val----Met mutant mimic reasonably well those of normal hemoglobin. We conclude that this mutant is well-suited to serve as a surrogate system of normal hemoglobin in the production of mutants for structure-function studies.     

Denaturant-induced equilibrium unfolding of concanavalin A is expressed by a three-state mechanism and provides an estimate of its protein stability

The urea and guanidine hydrochloride (GdnHCl)-induced denaturation of tetrameric concanavalin A (ConA) at pH 7.2 has been studied by using intrinsic fluorescence, 8-anilino-1-naphthalenesulfonate (ANS) binding, far-UV circular dichroism (CD), and size-exclusion chromatography. The equilibrium denaturation pathway of ConA, as monitored by steady state fluorescence, exhibits a three-state mechanism involving an intermediate state, which has been characterized as a structured monomer of the protein by ANS binding, far-UV CD and gel filtration size analysis. The three-state equilibrium is analyzed in terms of two distinct and separate dissociation (native tetramer<-->structured monomer) and unfolding (structured monomer<-->unfolded monomer) reaction steps, with the apparent transition midpoints (C(m)), respectively, at 1.4 and 4.5 M in urea, and at 0.8 and 2.4 M in GdnHCl. The results show that the free energy of stabilization of structured monomer relative to the unfolded state (-DeltaG(unf, aq)), is 4.4-5.5 kcal mol(-1), and that of native tetramer relative to structured monomer (-DeltaG(dis, aq)) is 7.2-7.4 kcal mol(-1), giving an overall free energy of stabilization (-DeltaG(dis&unf, aq)) of 11.6-12.9 kcal mol(-1) (monomer mass) for the native protein. However, the free energy preference at the level of quaternary tetrameric structure is found to be far greater than that at the tertiary monomeric level, which reveals that the structural stability of ConA is maintained mostly by subunit association.     

Oxygen binding and subunit interaction of hemoglobin in relation to the two-state model

Mills and Ackers (Mills, F.C., and Ackers, G.K. (1979) J. Biol. Chem. 254, 2881-2887) have reported the subunit interactions of hemoglobin to decrease on binding of the fourth molecule of oxygen to hemoglobin. This effect, which they called quaternary enhancement, is incompatible with the two-state Monod, Wyman, and Changeux allosteric model. Their free energy of binding of the fourth molecule (-9.3 kcal/mol) has been compared with independent kinetic estimates which give -8.6 kcal/mol. This smaller value is consistent with literature values and allows reasonable representation of the equilibrium curve using the two-state model without invoking quaternary enhancement.     

Consequences of neglecting the hemoglobin concentration on the determination of Adair binding constants

It is commonly believed that the tetrameric Adair constants for oxygen binding to human hemoglobin can be evaluated from a single oxygenation experiment at 'high' hemoglobin concentration without considering the consequence of the presence of alpha beta dimers. We present examples which demonstrate that this is a very dangerous assumption. Without a knowledge of the complete oxygenation-linked dimer-tetramer association reaction (alpha beta Xi----(alpha beta)2Xj), it is impossible to predict a priori how high of a hemoglobin concentration would be required to make this assumption. Furthermore, without a knowledge of the complete oxygenation-linked dimer-tetramer association reaction, it is impossible to predict a priori the direction and magnitude of the systematic errors which are induced by making this assumption.     

Cobalt-substituted hemoglobin Zürich (alpha 2 beta 263His leads Arg). Oxygen equilibria and EPR spectra.

Cobalt hemoglobin Zürich (alpha 2 beta 263His leads to Arg) has been successfully reconstituted from the apohemoglobin Zürich and cobaltous protoporphyrin IX. The oxygen affinity of cobalt hemoglobin Zurich, as well as that of iron hemoglobin Zürich, were measured in the absence and presence of organic phosphate and Cl-. The overall oxygen affinity of cobalt hemoglobin Zürich was found to be higher and the cooperativity as measured by the n value was smaller than those of cobalt hemoglobin A. Organic phosphate and Cl- affect the oxygen equilibrium properties of cobalt hemoglobin Zürich in a manner similar to that of cobalt hemoglobin A, but to a lesser extant than cobalt hemoglobin A. The EPR spectrum of oxy cobalt hemoglobin Zürich is less sensitive to the replacement of the buffer system from H2O to 2H2O, indicating that the hydrogen bond between the distal amino acid residue and the bound oxygen is not formed in the abnormal beta subunits. The deoxy EPR spectrum of cobalt hemoglobin Zürich is similar to that of deoxy cobalt hemoglobin A, suggesting that the deoxy cobalt hemoglobin Zürich is predominantly in the deoxy quaternary structure (T state).     

Heterotropic effects of chloride on the ligation microstates of hemoglobin at constant water activity.

Dimer-tetramer assembly reactions of the 10 CN-met ligation microstates of hemoglobin (Hb) were analyzed as a function of NaCl concentration while maintaining constant water activity by the addition of compensating sucrose. The assembly free energy for fully ligated cyanomet Hb and for fully oxygenated Hb becomes less favorable by 1.8 kcal when [NaCl] is increased from 0.08 to 0.7 M, whereas that of unligated Hb is practically insensitive to changes in [NaCl]. Values of 1.6 and 0.3 mol chloride release were found for the assembly of fully ligated and deoxy Hb, respectively; i.e., a net release of 1.3 mol chloride is coupled to the ligation of tetramers for both oxygen and cyanomet ligation. The ligation-linked salt component at constant water activity was evaluated to be 1.0 mol for the full oxygenation of the Hb tetramer in agreement with the overall value previously reported. When the detailed salt linkages accompanying all 16 stepwise cyanomet ligation reactions were experimentally resolved, only two "chloride" effects were found. The first chloride effect correlates with the ligation steps, which create tertiary constraint, and the second effect is coupled to the six switchpoints of quaternary T-->R transition. The distribution of these chloride effects agrees closely with predictions of the "symmetry rule mechanism." The total chloride release for CN-met ligation is in good agreement with that for oxygenation. Free energy contributions to assembly and cooperativity arising from the osmotic effects of chloride were found to be small for all ligation species.     

Description of the molecular mechanism of cooperativity in human hemoglobin cannot be limited to a first-order free energy coupling concept

Studies of the linkage between ligand binding and subunit assembly of oligomeric proteins have extensively used the concept of free energy coupling. The "order" of these free energy couplings was introduced [Weber, G. (1984) Proc. Natl. Acad. Sci. U.S.A. 81, 7098-7102] as the number of subunits that must be liganded to alter specific intersubunit interactions. This concept dictates that the ligation of fewer subunits has no effect, but once the order number of subunits becomes ligated, the specific intersubunit interaction energy between those particular subunits is completely eliminated. Weber's report claims that the free energy coupling between oxygen binding and the dimer-tetramer subunit assembly in stripped human hemoglobin A is "first order". This conclusion is based on the analysis of a set of previously published equilibrium constants [Mills, F. C., Johnson, M. L., & Ackers, G. K. (1976) Biochemistry 15, 5350-5362]. I subsequently reported that the original experimental data, from which the equilibrium constants were derived, are consistent with both the first-order and "second-order" free energy coupling concepts [Johnson, M. L. (1986) Biochemistry 25, 791-797]. I also demonstrated that more precise recent experimental data [Chu, A. H., Turner, B. W., & Ackers, G. K. (1984) Biochemistry, 23, 604-617] are consistent with both the first-order and second-order free energy coupling concepts. A recent article [Weber, G. (1987) Biochemistry 26, 331-332] disagrees that the oxygen-binding data for human hemoglobin A are consistent with a second-order model.(ABSTRACT TRUNCATED AT 250 WORDS)     

Subunit hybridization studies of partially ligated cyanomethemoglobins using a cryogenic method. Evidence for three allosteric states

Reaction of tetrameric hemoglobin with ligands at the four heme sites yields nine species that have structurally unique combinations of ligated and unligated subunits. Using hemoglobins where the ligated subunits contain cyanomethemoglobin, Smith and Ackers studied the dimer-tetramer assembly reactions in all nine of the partially ligated species (F. R. Smith and G. K. Ackers, Proc. Natl. Acad. Sci. U.S.A. 82 (1985) 5347). They found a third assembly free energy in addition to those of unligated hemoglobin and fully ligated cyanomethemoglobin. The observed distribution of the three assembly free energies among the ten species was found to be incompatible with the two-state mechanism of allosteric control (J. Monod, J. Wyman and J. P. Changeaux, J. Mol. Biol. 12 (1965) 81). The results indicated a mechanism of 'combinatorial switching' in which the binding free energies per site change with configuration of occupied sites and not just their number. In this study, we have confirmed the existence of three assembly free energies among the ten ligation species using a cryogenic method (M. Perrella and L. Rossi-Bernardi, Methods Enzymol. 76 (1981) 133). For one of the species we find a different free energy assignment from that reported by Smith and Ackers; for all other species we observe the same assignments as in earlier work. The revised distribution also requires a 'combinatorial' mechanism of allosteric switching among the three states.     

Oxygen equilibrium study and light absorption spectra of Ni(II)-Fe(II) hybrid hemoglobins

Ni(II)-Fe(II) hybrid hemoglobins, in which hemes in either the alpha or beta subunit are substituted with Ni(II) protoporphyrin IX, have been prepared and characterized. Since Ni(II) protoporphyrin IX binds neither oxygen nor carbon monoxide, the oxygen equilibrium properties of the Fe subunit in these hybrid hemoglobins were specifically determined. K1 values, namely the equilibrium constants for the first oxygen molecule to bind to hemoglobin, agreed well for these hybrid hemoglobins with the K1 value of native hemoglobin A in various conditions. Therefore, Ni(II) protoporphyrin IX in these hybrid hemoglobins behaves like a permanently deoxygenated heme. Both Ne-Fe hybrid hemoglobins bound oxygen non-co-operatively at low pH values. When the pH was raised, alpha 2 (Fe) beta 2 (Ni) showed co-operativity, but the complementary hybrid, alpha 2 (Ni) beta 2 (Fe), did not show co-operativity even at pH 8.5. The light absorption spectra of Ni(II)-Fe(II) hybrid hemoglobins indicated that the coordination states of Ni(II) protoporphyrin IX in the alpha subunits responded to the structure of the hybrid, whereas those in the beta subunits were hardly changed. In a deoxy-like structure (the structure that looks like that observed in deoxyhemoglobin), four-co-ordinated Ni(II) protoporphyrin IX was dominant in the alpha (Ni) subunits, while under the conditions that stabilized an oxy-like structure (the structure that looks like that observed in oxyhemoglobin), five-co-ordinated Ni(II) protoporphyrin IX increased. The small change observed in the absorption spectrum of the beta (Ni) subunits is not related to the change of the co-ordination number of Ni(II) protoporphyrin IX. Non-co-operative binding of oxygen to the beta subunits in alpha 2 (Ni) beta 2 (Fe) accompanied the change of absorption spectrum in the alpha (Ni) subunits. We propose a possible interpretation of this unique feature.     

Thermodynamic analysis of the dissociation of the aldolase tetramer substituted at one or both of the subunit interfaces

The fructose-1,6-bis(phosphate) aldolase isologous tetramer tightly associates through two different subunit interfaces defined by its 222 symmetry. Both single- and double-interfacial mutant aldolases have a destabilized quaternary structure, but there is little effect on the catalytic activity. These enzymes are however thermolabile. This study demonstrates the temperature-dependent dissociation of the mutant enzymes and determines the dissociation free energies of both mutant and native aldolase. Subunit dissociation is measured by sedimentation equilibrium in the analytical ultracentrifuge. At 25 degrees C the tetramer-dimer dissociation constants for each single-mutant enzyme are similar, about 10(-6) M. For the double-mutant enzyme, sedimentation velocity experiments on sucrose density gradients support a tetramer-monomer equilibrium. Furthermore, sedimentation equilibrium experiments determined a dissociation constant of 10(-15) M3 for the double-mutant enzyme. By the same methods the upper limit for the dissociation constant of wild-type aldolase A is approximately 10(-28) M3, which indicates an extremely stable tetramer. The thermodynamic values describing monomer-tetramer and dimer-tetramer equilibria are analyzed with regard to possible cooperative interaction between the two subunit interfaces.     

Stability of a Lac repressor mediated "looped complex"

The quantitation of the stability of a protein-mediated "looped complex" of the Lac repressor and DNA containing two protein-binding sites whose centers of symmetry are separated by 11 helical turns (114 bp) was accomplished by footprint and gel mobility-shift titration techniques. Lac repressor binding to this DNA was only moderately cooperative; a cooperative free energy of -1.0 kcal/mol was calculated in a model-independent fashion from the individual-site loading energies obtained from the footprint titration studies. In order to partition the cooperative binding energy into components representing the dimer-tetramer association of Lac repressor and the cyclization probability of the intervening DNA, advantage was taken of the presence of experimental measures that were in proportion to the concentration of the looped complex present in solution. One measure was the DNase I hypersensitivity observed in footprint titrations in bands located between the two binding sites. The second measure resulted from the electrophoretic resolution in the gel mobility-shift titrations of the band representing the doubly liganded "tandem complex" from the band representing the singly liganded complexes, including the looped complex. Analysis of the footprint and mobility-shift titration data utilizing this additional information showed that approximately 65% of the molecules present in solution are looped complexes at pH 7.0, 100 mM KCl, and 20 degrees C when the binding sites on the DNA are saturated with protein. Reconciliation of the observed low binding cooperativity and the high proportion of looped complexes could only be obtained when the titration data were analyzed by a model in which Lac repressor tetramers dissociate into dimers in solution. The proportion of looped complexes present in solution is highly dependent on the dimer-tetramer association constant, delta Gtet. This result is consistent with the determination by high-pressure fluorescence techniques that Lac repressor tetramers dissociate with an association free energy comparable to their DNA-binding free energies [Royer, C. A., Chakerian, A. E., & Matthews, K. S. (1990) Biochemistry 29, 4959-4966]. However, when the value of delta Gtet of -10.6 kcal/mol (at 20 degrees C) reported by Royer et al. (1990) is assumed, the titration data demand that tetramers bind DNA with much greater affinity than dimers: a result inconsistent with the destabilization of tetramers by the operator observed in the dimer-tetramer dissociation studies.(ABSTRACT TRUNCATED AT 400 WORDS)