Chromatographic evidence of the self-association of oxyhemoglobin in concentrated solutions: its biological implications.

Expressions that take into account the effects of thermodynamic non-ideality, described in terms of a high-order virial expansion, are derived for the concentration-dependence of the weight-average partition coefficient in exclusion chromatography of a single solute and of a solute undergoing reversible self-association. Comparison of the concentration-dependences predicted by those expressions with results obtained for bovine and human oxyhemoglobins on CPG-10-120 porous glass beads in 0.156 I phosphate-chloride buffer, pH 7.3, shows that neither oxyhemoglobin conforms with the concept of it being a single alpha 2 beta 2 entity with Stokes radius of 3.13 nm, the experimental value. Previously published osmotic pressure and sedimentation equilibrium results are also shown to be inconsistent with this concept. On the other hand, both sets of exclusion chromatography results are consistent with the joint operation of thermodynamic non-ideality and reversible association of the alpha 2 beta 2 species. From the magnitude of the equilibrium constant, derived for either of two possible modes of association, it is calculated that only half of the oxyhemoglobin would be in the alpha 2 beta 2 states under conditions of oxygen saturation and a concentration of 320 g/liter, that pertaining in the red blood cell. The consequences of this association phenomenon are discussed in relation to the oxygen binding curves obtained by others in the presence and absence of 2,3-diphosphoglycerate (DPG). An explanation is provided of the observed dependence on hemoglobin concentration of oxygen-binding in the presence of DPG, and of the absence of such an effect in DPG-free solutions. It is concluded that the control of oxygen binding to hemoglobin in the physiological situation involves the joint operation of self-association and allosteric effects.     

Evidence for significant quantities of creatine kinase MM isoenzyme in human brain

Oxygen equilibrium studies have been carried out on hemoglobins A2 (alpha2delta2), Lepore-Washington (alpha2(deltabeta)2) and P-Nilotic (alpha2(beta2delta)2) using the beta chain containing hemoglobins A and S as controls. This investigation was initiated mainly because of controversial data that have been published on the oxygen affinity of hemoglobin (Hb) A2 and because samples containing the rare Hb P-Nilotic became available. Each hemoglobin was isolated in pure form by anion exchange chromatography; the samples used in the equilibrium analyses contained 100 mg Hb/dl with less than 5% ferrihemoglobin and no 2,3--diphosphoglycerate. Oxygen equilibrium analyses were made at 37 degrees C with the method of Benesch et al. (1965) Anal. Biochem. 11, 81--87; Anal. Biochem. 55, 245--248 (1973). A slight, but definite increase in oxygen affinity was observed for Hb A2 as well as for Hb P-Nilotic while the increase for the Hb Lepore-Washington was somewhat greater. The values for n, the Hill coefficient, and the Bohr effects were the same for all hemoglobin types. The differences in oxygen affinity of these hemoglobins apparently result from the differences in primary structure that are characteristic for those proteins.     

Effect of sucrose on the dimerization of alpha-chymotrypsin. Allowance for thermodynamic nonideality arising from the presence of a small inert solute

The space-filling effects of sucrose on the dimerization of alpha-chymotrypsin have been investigated by sedimentation equilibrium studies on the enzyme in acetate-chloride buffer, pH 3.9, I 0.2. From the extent of enhancement of the apparent dimerization constant in the presence of 0.05-0.16 M sucrose, it is concluded that this effect of thermodynamic nonideality finds quantitative explanation in terms of excluded volume. However, the suggested approximation that the radius of an inert small solute would be sufficiently small to be neglected in the calculation of covolumes (D.J. Winzor and P.R. Wills, Biophys. Chem. 25 (1986) 243) has not withstood the more stringent test afforded by the present study of alpha-chymotrypsin dimerization. A value of 0.34 nm for the effective thermodynamic radius of sucrose was inferred from the covolume for self-interaction obtained by frontal gel chromatography on Sephadex G-10 under the conditions of the ultracentrifugal studies. Finally, results of sedimentation equilibrium experiments on alpha-chymotrypsin in the presence of 0.1 M glycerol were also shown to be consistent with interpretation in terms of the model of space-filling effects entailing complete exclusion of small solute from the hydrated protein domain.     

Mechanism of chaperone function in small heat shock proteins: dissociation of the HSP27 oligomer is required for recognition and binding of destabilized T4 lysozyme

Mammalian small heat shock proteins (sHSP) form polydisperse and dynamic oligomers that undergo equilibrium subunit exchange. Current models of their chaperone activity hypothesize that recognition and binding of protein non-native states involve changes in the oligomeric state. The equivalent thermodynamic representation is a set of three coupled equilibria that includes the sHSP oligomeric equilibrium, the substrate folding equilibrium, and the equilibrium binding between the sHSP and the substrate non-native states. To test this hypothesis and define the binding-competent oligomeric state of human Hsp27, we have perturbed the two former equilibria and quantitatively determined the consequences on binding. The substrate is a set of T4 lysozyme (T4L) mutants that bind under conditions that favor the folded state over the unfolded state by 10(2)-10(4)-fold. The concentration-dependent oligomer equilibrium of Hsp27 was perturbed by mutations that alter the relative stability of two major oligomeric states including phosphorylation-mimicking mutations that result in the dissociation to a small multimer over a wide range of concentrations. Correlation of binding isotherms with size exclusion chromatography analysis of the Hsp27 oligomer equilibrium demonstrates that the multimer is the binding-competent state. Binding occurs through two modes, each characterized by different affinity and number of binding sites, and results in T4L.Hsp27 complexes of different hydrodynamic properties. Mutants of the Hsp27 phosphorylation mimic that reverse the reduction in oligomer size also reduce the extent of T4L binding. Taken together, these results suggest a central role for the oligomeric equilibrium in regulating the chaperone activity of sHSP. The mutants identify sequence features important for modulating this equilibrium.     

How much water is made "non-free" by 36% native hemoglobin?

At equilibrium, the concentration ratio of poly(ethylene gycol) (PEG-4000) in a dialysis sac containing a 35.1% solution of native bovine hemoglobin over that in the external solution is 0.196 +/- 0.028 (mean +/- SD). This apparent equilibrium distribution constant or rho-value of 0.196, when viewed side-by-side with the near-equal distribution of sucrose and raffinose in similar native-hemoglobin dominated water suggests all (rather than 80%) of the water in this solution has been altered by the native hemoglobin and is no longer free liquid water. Based on Ling's equation for solute exclusion, we found that an excess of water-to-water interaction energy of a mere 4.25 cal/mole could account for both the observed exclusion of PEG-4000 and non-exclusion of sucrose and raffinose. Finally, the long-range action of (even this relatively inactive) native hemoglobin on the dynamic water structure was compared with the exclusion of coated latex microspheres from the altered water 100 microm from the surface of polyvinylalcohol gel (Zheng and Pollack) --in the light of Ling's new theory of ad infinitum water polarization-orientation (under idealized conditions) first publicized at the Gordon Research Conference on "Interfacial Water in Cell Biology" on the campus of the Mount Holyoke College in June 2004.     

Purification of bovine hemoglobin via fast performance liquid chromatography

Bovine hemoglobin (bHb) was purified from bovine red blood cells (bRBCs) via anion exchange chromatography preceded by dialysis. This is a fast and effective way to obtain bHb from bRBCs using Q Sepharose XL, a strong anion exchange resin. This resin had double the binding capacity for bHb compared to three other anion exchange resins that were studied in this work. Methemoglobin levels remained below 2% with bHb concentrations between 0.7 and 1.7 mM. The high purity of bHb was confirmed via SDS-PAGE and size exclusion chromatography (SEC).     

Hemoglobin in five genetically diverse Frankia strains

Five strains of Frankia were selected to represent a wide range of genetic diversity and examined for presence of hemoglobin. All five strains produced hemoglobin when grown on media without (-N) or with (+N) combined nitrogen. This indicates that hemoglobin is common in Frankia and is not directly associated with nitrogen fixation. Frankia strain EAN1(pec) was examined in more detail. It showed greater hemoglobin concentration when grown at 2% O2 than at 20% O2 in the -N treatment but no effect of oxygen on hemoglobin concentration in the +N treatment. At both oxygen levels, it produced substantially more biomass in +N than in -N culture. It also produced significantly more biomass when the medium contained 0.2% CO2 than in the absence of CO2. The molecular mass of the hemoglobin as determined by size exclusion chromatography was 13.4 +/- 0.2 kDa (mean +/- SE, n = 3) and is consistent with that of a truncated hemoglobin. The hemoglobin had absorption spectra that were typical of a hemoglobin. The oxygen dissociation rate constants for the hemoglobin were 131.2 +/- 5.8 s(-1) for -N culture and 166 +/- 8.2 s(-1) for +N culture. These rapid rates are consistent with a function in facilitated diffusion of oxygen.     

The self-association of L-alpha hydroxyacid oxidase.

As the published values for the molecular weight of L-alpha-hydroxyacid oxidase vary from 89 000 to 430 000, it is possible that such variations could be due to a concentration dependence of the molecular weight. The molecular weight of rat L-alpha-hydroxyacid oxidase was studied over a wide range of concentrations, using equilibrium sedimentation and gel exclusion chromatography. The partial specific volumes (0.726 and 0.730 for hydroxyacid oxidase A and hydroxyacid oxidase B, respectively) were calculated from the amino acid compositions, and were used to calculat molecular weights from the equilibrium sedimentation data. The molecular weight at infinite dilution was found to be 150 000 for both the A and B isozymes. Both isozymes exhibit association-dissociation behaviour at low concentrations. The self-association of the hydroxyacid oxidase B isozyme can be described by the relation (see article) where K1,2 = 5.4-10(5) M-1 and K2,4 = 1.7-10(5) M-1. Previously published values of the molecular weight of these isozymes are in accord with the observed concentration dependence.     

In vitro thermodynamic dissection of human copper transfer from chaperone to target protein

Transient protein-protein and protein-ligand interactions are fundamental components of biological activity. To understand biological activity, not only the structures of the involved proteins are important but also the energetics of the individual steps of a reaction. Here we use in vitro biophysical methods to deduce thermodynamic parameters of copper (Cu) transfer from the human copper chaperone Atox1 to the fourth metal-binding domain of the Wilson disease protein (WD4). Atox1 and WD4 have the same fold (ferredoxin-like fold) and Cu-binding site (two surface exposed cysteine residues) and thus it is not clear what drives metal transfer from one protein to the other. Cu transfer is a two-step reaction involving a metal-dependent ternary complex in which the metal is coordinated by cysteines from both proteins (i.e., Atox1-Cu-WD4). We employ size exclusion chromatography to estimate individual equilibrium constants for the two steps. This information together with calorimetric titration data are used to reveal enthalpic and entropic contributions of each step in the transfer process. Upon combining the equilibrium constants for both steps, a metal exchange factor (from Atox1 to WD4) of 10 is calculated, governed by a negative net enthalpy change of ～10 kJ/mol. Thus, small variations in interaction energies, not always obvious upon comparing protein structures alone, may fuel vectorial metal transfer.     

Oxygen equilibrium properties of highly purified human adult hemoglobin cross-linked between 82 beta 1 and 82 beta 2 lysyl residues by bis(3,5-dibromosalicyl) fumarate

We investigated oxygen equilibrium properties of highly purified human adult hemoglobin cross-linked between lysine-82 beta 1 and lysine-82 beta 2 by a fumaryl group, which is prepared by reaction of the CO form with bis(3,5-dibromosalicyl) fumarate. The cross-linked hemoglobin preparation isolated by the previous purification method, namely, gel filtration in the presence of 1 M MgCl2 followed by ion-exchange chromatography, was found to be contaminated with about 20% of an electrophoretically silent impurity that shows remarkably high affinity for oxygen. This impurity was separated from the desired cross-linked hemoglobin by a newly developed purification method, which utilizes a difference between the authentic hemoglobin and the impurity in reactivity of the sulfhydryl groups of cysteine-93 beta toward N-ethylmaleimide under a deoxygenated condition. After this purification procedure, the oxygen equilibrium properties of purified cross-linked hemoglobin in the absence of organic phosphate became very similar to those of unmodified hemoglobin with respect to oxygen affinity, cooperativity, and the alkaline Bohr effect. The functional similarity between the cross-linked hemoglobin and unmodified hemoglobin allows us to utilize this cross-linking for preparing asymmetric hybrid hemoglobin tetramers, which are particularly useful as intermediately liganded models. Previous studies on this type of cross-linked hemoglobin should be subject to reexamination due to the considerable amount of the impurity.     

The impact of protein exclusion on the purity performance of ion exchange resins

Dynamic binding capacity (DBC) decreases with increasing conductivity in the equilibrium regime for ion exchange chromatography. An exclusion regime has been demonstrated in ion exchange resins where DBC increases with increasing conductivity and decreasing protein charge. The purpose of this work was to examine the impact of the exclusion regime on impurity removal. Resin performance was evaluated based on dynamic binding capacities and purity within the exclusion and equilibrium regimes. The results revealed that Chinese hamster ovary proteins (CHOP), a major impurity, exhibit similar exclusion trends as the MAb proteins. The results further the understanding of the exclusion regime and its impact on product purity, a critical area for IEX development and optimization.     

Anisotropy in sickle hemoglobin fibers from variations in bending and twist

We have studied the variations of twist and bend in sickle hemoglobin fibers. We find that these variations are consistent with an origin in equilibrium thermal fluctuations, which allows us to estimate the bending and torsional rigidities and effective corresponding material moduli. We measure bending by electron microscopy of frozen hydrated fibers and find that the bending persistence length, a measure of the length of fiber required before it starts to be significantly bent due to thermal fluctuations, is 130microm, somewhat shorter than that previously reported using light microscopy. The torsional persistence length, obtained by re-analysis of previously published experiments, is found to be only 2.5microm. Strikingly this means that the corresponding torsional rigidity of the fibers is only 6x10(-27)Jm, much less than their bending rigidity of 5x10(-25)Jm. For (normal) isotropic materials, one would instead expect these to be similar. Thus, we present the first quantitative evidence of a very significant material anisotropy in sickle hemoglobin fibers, as might arise from the difference between axial and lateral contacts within the fiber. We suggest that the relative softness of the fiber with respect to twist deformation contributes to the metastability of HbS fibers: HbS double strands are twisted in the fiber but not in the equilibrium crystalline state. Our measurements inform a theoretical model of the thermodynamic stability of fibers that takes account of both bending and extension/compression of hemoglobin (double) strands within the fiber.     

A thermodynamic model for gelation of sickle-cell hemoglobin

The two-step concept of gelation of sickle-cell hemoglobin (Minton, 1973) provides the basis for a thermodynamic model to account for the macroscopic solution properties of sickle-cell hemoglobin in terms of microscopic structure and interactions. Step 1, the formation of a rod-like microtubular array, is treated as thermodynamically equivalent to a precipitation. Step 2, the alignment of microtubules to form a nematic phase, is treated as an isotropic-nematic transition in a suspension of interacting rod-like particles. Upon combination of these two steps a qualitative temperature-composition phase diagram is obtained.The results of several experimental studies on sickle-cell hemoglobin solutions, including measurements of solubility, sedimentation equilibrium and viscosity, are reviewed and it is shown that the proposed model provides a unified interpretation of many of the observed physical properties of these solutions.     

Thermodynamics of anti-sickling agents with hemoglobin S

The effects of oxygen and a second ligand, the anti-sickling agent butylurea, on the hemoglobin S gel-solution phase equilibrium have been studied. The results have been analyzed using thermodynamic properties of the system. In particular, the solubility of deoxy hemoglobin S as a function of butylurea concentration was determined and the thermodynamic analysis shows that there are at least two cooperatively linked butylurea binding sites. Liquid phase oxygen binding studies at various butylurea concentrations show that the linkage between oxygen and butylurea binding is small. The influence of oxygen and butylurea on hemoglobin S solubility was determined by birefringence measurements. The results were interpreted by use of the Gibbs-Duhem equation which combined ligand binding expressions with the non-ideal solution properties and properties of the gel phase. The predicted influence of oxygen and butylurea upon the solubilities of hemoglobin S agrees with experimentally determined values.     

Magnesium(II) and zinc(II)-protoporphyrin IX's stabilize the lowest oxygen affinity state of human hemoglobin even more strongly than deoxyheme.

Studies of oxygen equilibrium properties of Mg(II)-Fe(II) and Zn(II)-Fe(II) hybrid hemoglobins (i.e. alpha2(Fe)beta2(M) and alpha2(M)beta2(Fe); M=Mg(II), Zn(II) (neither of these closed-shell metal ions binds oxygen or carbon monoxide)) are reported along with the X-ray crystal structures of alpha2(Fe)beta2(Mg) with and without CO bound. We found that Mg(II)-Fe(II) hybrids resemble Zn(II)-Fe(II) hybrids very closely in oxygen equilibrium properties. The Fe(II)-subunits in these hybrids bind oxygen with very low affinities, and the effect of allosteric effectors, such as proton and/or inositol hexaphosphate, is relatively small. We also found a striking similarity in spectrophotometric properties between Mg(II)-Fe(II) and Zn(II)-Fe(II) hybrids, particularly, the large spectral changes that occur specifically in the metal-containing beta subunits upon the R-T transition of the hybrids. In crystals, both alpha2(Fe)beta2(Mg) and alpha2(Fe-CO)beta2(Mg) adopt the quaternary structure of deoxyhemoglobin. These results, combined with the re-evaluation of the oxygen equilibrium properties of normal hemoglobin, low-affinity mutants, and metal substituted hybrids, point to a general tendency of human hemoglobin that when the association equilibrium constant of hemoglobin for the first binding oxygen molecule (K1) approaches 0.004 mmHg(-1), the cooperativity as well as the effect of allosteric effectors is virtually abolished. This is indicative of the existence of a distinct thermodynamic state which determines the lowest oxygen affinity of human hemoglobin. Moreover, excellent agreement between the reported oxygen affinity of deoxyhemoglobin in crystals and the lowest affinity in solution leads us to propose that the classical T structure of deoxyhemoglobin in the crystals represents the lowest affinity state in solution.We also survey the oxygen equilibrium properties of various metal-substituted hybrid hemoglobins studied over the past 20 years in our laboratory. The bulk of these data are consistent with the Perutz's trigger mechanism, in that the affinity of a metal hybrid is determined by the ionic radius of the metal, and also by the steric effect of the distal ligand, if present. However, there remains a fundamental contradiction among the oxygen equilibrium properties of the beta substituted hybrid hemoglobins.     

Direct measurement of the equilibrium between glutathione and dithiothreitol by high performance liquid chromatography

The equilibrium constant between reduced glutathione (GSH), oxidized glutathione (GSSG), reduced dithiothreitol (DTTSHSH), and oxidized dithiothreitol (DTTSS) has been directly measured by high performance liquid chromatography analysis of equilibrium mixtures. The equilibrium constant at 25 degrees C for the reaction GSSG + DTTSHSH in equilibrium 2GSH + DTTSS varies from approximately 200 M, below pH 8, to approximately 2800 M, above pH 11. The observed pH dependence is generally consistent with published values of acid dissociation constants of these thiols.     

A Thermodynamic Perspective on Natural Selection

A novel thermodynamic perspective on natural selection is presented. In the case that life continuity is optimized in an ideal system, where relatively constant and homogeneous selective pressures favour a given competing species, natural selection leads that system to a stationary state of maximum genotypic uniformity of life and maximum sustainable consumption of available energy by life (competitive equilibrium). Structurally and functionally, this optimizing tendency towards competitive equilibrium looks similar to the optimizing tendency towards thermodynamic equilibrium of classical thermodynamics (maximum energetic uniformity and maximum degradation of available energy). The principle of competitive exclusion may thus be conceptually viewed as an ecological manifestation of the second law of (classical) thermodynamics. On the other hand, the novel thermodynamic perspective on natural selection is discussed with regard to the open and nonequilibrium system of nature, where selective pressures vary in space and time. In this case, natural selection can induce diversity instead of uniformity, though an optimizing tendendcy towards maximum sustainable consumption of resources (optimization of life continuity) always remains. Overall, it is concluded that the action of natural selection favours the maximization of the sustainable consumption of energy at the level of individual organism.     

The macromolecular state of A-kinase anchoring protein

The amendment of the interpretation of recently published size‐exclusion chromatography (SEC) data for A‐kinase anchoring protein (AKAP12) on Sephacryl‐S400 has led to an increase in the estimated size of the supermolecular state from 840 to at least 6000 kDa. Although size‐exclusion chromatography has sufficed to demonstrate unequivocally the existence of this 190‐kDa scaffold protein in a supermolecular state, any quantitative estimate of the oligomer stoichiometry is shown to be precluded by failure of this empirical procedure to incorporate allowance for any deviation from globular shape—an important consideration in view of the extended structures exhibited by other extracellular matrix proteins. Copyright © 2011 John Wiley & Sons, Ltd.     

Linkage between cooperative oxygenation and subunit assembly of cobaltous human hemoglobin.

The thermodynamic linkage between cooperative oxygenation and dimer-tetramer subunit assembly has been determined for cobaltous human hemoglobin in which iron(II) protoporphyrin IX is replaced by cobalt(II) protoporphyrin IX. The equilibrium parameters of the linkage system were determined by global nonlinear least-squares regression of oxygenation isotherms measured over a range of hemoglobin concentrations together with the deoxygenated dimer-tetramer assembly free energy determined independently from forward and reverse reaction rates. The total cooperative free energy of tetrameric cobalt hemoglobin (over all four binding steps) is found to be 1.84 (+/- 0.13) kcal, compared with the native ferrous hemoglobin value of 6.30 (+/- 0.14) kcal. Detailed investigation of stepwise cooperativity effects shows the following: (1) The largest change occurs at the first ligation step and is determined on model-independent grounds by knowledge of the intermediate subunit assembly free energies. (2) Cooperativity in the shape of the tetrameric isotherm occurs mainly during the middle two steps and is concomitant with the release of quaternary constraints. (3) Although evaluation of the pure tetrameric isotherm portrays identical binding affinity between the last two steps, this apparent noncooperativity is the result of a "hidden" oxygen affinity enhancement at the last step of 0.48 (+/- 0.12) kcal. This quaternary enhancement energy is revealed by the difference in subunit assembly free energies of the triply and fully ligated species and is manifested visually by the oxygenation isotherms at high versus low hemoglobin concentration. (4) Cobaltous hemoglobin dimers exhibit apparent anticooperativity of 0.49 (+/- 0.16) kcal (presumed to arise from heterogeneity of subunit affinities).(ABSTRACT TRUNCATED AT 250 WORDS)