Allosteric kinetics and equilibria of triligated, cross-linked hemoglobin.

Using modulated excitation, we have measured the forward and reverse rates of the allosteric transition between relaxed (R) and tense (T) quaternary structures for triply ligated hemoglobin (Hb), cross-linked between the alpha chains at Lys 99. Oxygen, carbon monoxide, and water were used as ligands and were studied in phosphate and low Cl- bis-Tris buffers at neutral pH. Since the cross-link prohibits disproportionation, triply ligated aquomet Hb species with ferrous beta chains were specifically isolated by isoelectric focusing. Modulated excitation provides rate pairs and therefore gives equilibrium constants between quaternary structures. To coordinate with that information, oxygen binding curves of fully ferrous and tri-aquomet Hb were also measured. L3, the equilibrium constant between three liganded R and T structures, is determined by modulated excitation to be of order unity for O2 or CO (1.1 to 1.5 for 3O2 and 0.7 for 3CO bound), while with three aquomet subunits it is much greater (> or = 23). R-->T conversion rates are similar to those found for HbA, with weak sensitivity to changes in L3. The L3 values from HbXL O2 were used to obtain a unique allosteric decomposition of the ferrous O2 binding curve in terms of KT, KR, and L3. From these values and the O2 binding curve of tri-aquomet HbXL, L3 was calculated to be 2.7 for the tri-aquomet derivative. Consistency in L3 values between equilibrium and modulated excitation data for tri-aquomet-HbXL can be achieved if the equilibrium constant for O2 binding to the alpha chains is six times lower than that for binding to the beta chains in the R state, while the cooperative properties remain homogeneous. The results are in quantitative agreement with other studies, and suggest that the principal effect of the cross-link is to decrease the R state and T state affinity of the alpha subunits with almost no change in the affinity of the beta subunits, leaving the allosteric parameters L and c unchanged.     

A model for calculating the Bohr effect in hemoglobin equilibria.

The unusual aspects of the reaction of oxygen with hemoglobin are believed to be due to the free energy of the conformational change in the hemoglobin molecule upon oxygenation. The conformational free energy change due to oxygenation can be estimated in terms of the surface free energy of an emuslion droplet of the same size as the hemoglobin molecule. Calculations on the basis of this model lead to an equilibrium constant that varies with pH as in the acid and alkaline Bohr Effects, and that also varies with the ionic strength. The model used in this paper provides a simple way of estimating the variation of the equilibrium constant of a reaction involving a globular protein where the free energy of conformational changes can be evaluated in terms of surface properties.     

Oxygen equilibria of hemoglobin A and hemoglobin S valency hybrids.

Oxygen equilibrium determinations with “unsymmetrical” MetHb/Hb hybrids derived from human hemoglobins A and S are reported. All four of the possible hybrids have higher oxygen affinity than the parent hemoglobins. The α₂^Metβ₂^S hybrid has a lower oxygen affinity than that of α₂^Metβ₂^S. However, both the β^Met hybrids have similar oxygen affinity. The Bohr value of α₂^Metβ₂^S is more negative than that of α₂^Metβ₂^A while the β^Met hybrids appear to have almost identical Bohr values. These findings favor the view that α and β chains in hemoglobin A have different conformations and indicate that hemoglobin S has a β-chain conformation different from that of β-chain of hemoglobin A. This difference is probably carried into the oxygenation properties of the α-chain in such a way as to be reflected only when the β chain is oxidized.     

Allosteric kinetics and equilibria differ for carbon monoxide and oxygen binding to hemoglobin.

We have measured the forward and reverse rates of the allosteric transition between R (relaxed) and T (tense) quaternary structures for oxyhemoglobin A from which a single oxygen molecule was removed in pH 7, phosphate buffer, using the method of modulated excitation (Ferrone, F.A., and J.J. Hopfield. 1976. Proc. Natl. Acad. Sci. USA. 73:4497-4501 and Ferrone, F.A., A.J. Martino, and S. Basak. 1985. Biophys. J. 48:269-282). Despite the low quantum yield, which necessitated large light levels and an associated temperature rise, the data was of superior quality to the equivalent experiment with CO as a ligand, permitting comparison between the allosteric behavior of hemoglobin with different ligands. Qualitatively, the T structure is favored more strongly in triligated oxyhemoglobin than triligated carboxyhemoglobin. The rates for the allosteric transition with oxygen bound were essentially temperature independent, whereas for CO both the R----T and T----R rates increased with temperature, having an activation energy of 2.2 and 2.8 kcal, respectively. The R----T rate was higher for O2 than for CO being 3 x 10(3) s-1 vs. 1.6 x 10(3) s-1 for HbCO at 25 degrees C. The T----R rate for HbO2 was only 2 x 10(3) s-1, vs 4.2 x 10(3) s-1 for HbCO, giving an equilibrium constant between the structures greater than unity (L3 = 1.5). The data suggest that there may be some allosteric inequality between the subunits, but do not require (or rule out) ligand binding heterogeneity. The ligand-dependent differences are compatible with stereochemical studies of HbCO and HbO2.(ABSTRACT TRUNCATED AT 250 WORDS)     

Spot hemoglobin. Studies on the Root effect hemoglobin of a marine teleost.

The Spot, Leiostomus xanthrus, has a single tetrameric hemoglobin. Structural studies indicate the presence of alpha- and beta-like chains with COOH-terminal sequences of --Arg and --TYR-His, respectively, the same as is found in human hemoglobin. Spot hemoglobin possesses a Root effect: a heterotropic control mechanism like the Bohr effect but with more extreme pH dependence in the equilibria and kinetics of O2 and CO binding. The Root effect seems to be a molecular adaptation, in that pH- and anion-sensitive hemoglobins may help fish achieve neutral buoyancy by facilitating O2 delivery to the swim bladder. Changes in the kinetics of both "on" and "off" processes contribute to the greatly decreased ligand affinity of Spot hemoglobin at low pH. The time course ofligand combination at low pH is biphasic and wavelength dependent, suggesting a differential effect of pH on the alpha- and beta-like chains. The change in the shape of the ligand-binding curve with pH may be interpreted in terms of a proton-dependent transition between low (T) and high (R) affinity conformations. However, this may not be the only mechanism, since differential pH effects on the two types of chains may also contribute to the observed pH dependence.     

A multipass cuvette for laser photolysis studies and its uses in studying hemoglobin kinetics and equilibria

A simple multipass cuvette was constructed by cementing small first-surface mirrors to opposite optical faces of a standard cuvette, eliminating the need for complex alignment devices. The multipass cuvette could then be positioned to provide optical path lengths of approximately 5 and 7 cm for the observing beam directed perpendicularly to the laser photolytic pulse. Internal reflection losses in the cuvette elevated the baseline by 0.36 in absorbance for the seven-pass alignment. Heme proteins can easily be studied at 100 nM in this cuvette. Analysis of the concentration dependence of the rapid recombination phase following photolysis of HbCO allows KTD to be determined. Precise determination of this constant, however, requires that a large range of concentrations be studied, allowing the fraction of rapid phase to vary from 20 to 80%. Human HbCO at pH 7 cannot be effectively studied over this concentration range in ordinary cuvettes owing to the low concentrations required. By employing the multipass cuvette, we have been able to make very precise determinations of this constant and find at pH 7, 21 degrees C, a value for KTD of 0.66 microM. We also determined that the quantum yield for photolysis of HbCO dimers and tetramers must be very nearly the same. For HbCO in Tris buffer, pH 7.4, the R----T conformation change is some six to seven times slower than that in phosphate. We have developed a simple equation that allows both the rate constant for the conformational change and the KTD to be determined under these conditions. The KTD obtained is in excellent agreement with a reported value obtained by large-zone gel filtration.     

The effect of sequence heterogeneity on DNA melting kinetics

We consider kinetics of the cooperative melting of DNA sections situated at the edge of the helix. Accurate calculations based on the real sequences of such sections demonstrate that their internal heterogeneity has a drastic effect on the melting kinetics. Allowance for the internal heterogeneity increases the relaxation time by several orders of magnitude as compared with a model based on the assumption of equal base-pair stability within a section. The relaxation times obtained are in good agreement with the experimental data of Suyama and Wada (A. Suyama and A. Wada, Biopolymers, 23, 409 (1984)). An analysis of the melting process revealed some simple sequence characteristics that determine its rate. An examination of the temperature dependence of the relaxation time led to a distinct interpretation of the apparent activation energies of the denaturation and renaturation. The relaxation time proved to reach its maximum near the equilibrium melting point of the section examined.     

Conformational kinetics of triligated hemoglobin.

We have used the method of modulated excitation (Ferrone, F.A., and J.J. Hopfield, 1976, Proc. Natl. Acad. Sci. USA. 73:4497-4501), with an improved apparatus and a revised analytical procedure, to measure the rate of conformational change between the oxy (R) and deoxy (T) conformations of triligated carboxy-hemoglobin A at pH 6.5 and 7.0. We have found the rates to be kRT = 1.2 X 10(3) s-1 and kTR = 3.5 X 10(3) s-1 for pH 6.5, while for pH 7.0, kRT = 1.0 X 10(3) s-1, and kTR = 3.0 X 10(3) s-1. The value for L3, the equilibrium constant between conformations, was virtually unchanged between pH 6.5 and 7.0. While the rates measured here differ from those obtained in the original use of this method, these new rates are fully consistent with the original data when analyzed by the revised procedures presented here. When taken with other kinetic and equilibrium data, our measurements suggest that the transition state between structures is dominated by the behavior of the T quaternary structure. Finally, a spectral feature near the HbCO Soret peak has been observed that we ascribe to an allosteric perturbation of the spectra of the liganded hemes.     

Oxygen-organophosphate linkage in hemoglobin A. The double hump effect.

At low concentrations of chloride ions, and in the presence of nonsaturating concentrations of organophosphates, the oxygen equilibrium curves (OEC) for solutions of human adult hemoglobin exhibit a biphasic shape conveniently revealed by graphical analysis of the first derivative of the Hill equation with a characteristic form that we call "the double hump effect." This shape, observed for sub-saturating concentrations of organophosphates, stands in marked contrast to the simple lateral shifts of the OEC represented largely by scaling factors when pH or chloride are varied. In the case of protons or chloride, there is a self-buffering effect due to the presence of a large reservoir of proton or chloride binding sites not necessarily linked to oxygen, whereas such sites do not exist in the case of organophosphates. In addition, in the former case, we are dealing with curves measured at constant activity of the effector, while in the latter, at constant concentration. In the presence of saturating concentrations of inositol hexaphosphate (IHP), at low chloride concentration, the entire OEC is shifted to the right, including both its upper and lower asymptotes, indicating a decrease in the intrinsic oxygen affinities of both the T and R states. Theoretical considerations leading to a successful modeling of OEC obtained under nonsaturating and saturating concentrations of IHP required an expanded two-state allosteric model in which IHP-dependent variations in oxygen association constants for both the T and R conformations are taken into account.     

Magnesium ion dependent equilibria, kinetics, and thermodynamic parameters of Artemia ribosome dissociation and subunit association

The influence of magnesium ion concentration on the equilibrium and kinetics of Artemia ribosome dissociation and subunit association has been studied by laser light scattering. Ribosomal aggregation was found to be reduced by addition of 0.1-0.05 mM spermidine and KCl concentrations of 100 mM. The ribosomes were found to be stable at low [Mg2+], and the curves obtained for ribosome-subunit equilibrium were independent of the direction and origin of the magnesium ion titration. Thermodynamic parameters were obtained from the temperature-dependent equilibria and have been compared to those of wheat germ and Escherichia coli type A ribosomes. The entropy term calculated for the association of 40S and 60S subunits is small, and the reaction is exothermic. The entropy term is negative, favoring subunit dissociation, and contributes less to the free energy than the enthalpy term. Rate constants for ribosome dissociation and subunit association have been determined. The reaction curves gave no evidence for sequential processes and were homogeneous.