Pulsed field gradient nmr determination of the temperature dependence of the tracer diffusion coefficient of hemoglobin

We have studied the temperature dependence of the tracer diffusion coefficient of carbonmonoxy hemoglobin A (HbA-CO) by means of pulsed-field gradient nmr (PFG-nmr). Measurements were made over the temperature range from 15 to 35°C for samples having concentrations 7.4 and 16.7 g/dL. No significant deviations were found from the predictions of the Stokes-Einstein relation. Thus, this work does not corroborate the recently proposed conformational change in hemoglobin at 22°C. The advantages of PFG-nmr for the study of hemoglobin are discussed.     

The concentration dependence of the heme heme interaction of hemoglobin S

Data for oxygen equilibrium curves for Hb SS erythrocytes, both before and after separation into fractions of varying density by ultracentrifugation technique, were fitted to Hill plots and the ‘n’ values, which is a measure of the heme heme interaction of the Hb molecule, were analyzed. The heme heme interaction for the bottom fractions, which consist mainly of dense deformed cells with a very high MCHC, was found to be smaller than that for the top (undeformed cells) and middle fractions or unfractioned erythrocytes. This finding indicates that the high concentration of Hb S in the dense deformed cells is associated not only with a reduced affinity for oxygen but also a reduced heme heme interaction.     

Lateral diffusion in an archipelago. Distance dependence of the diffusion coefficient.

An understanding of the distance dependence of the lateral diffusion coefficient is useful in comparing the results of diffusion measurements made over different length scales, and in analyzing the kinetics of mobile redox carriers in organelles. A distance-dependent, concentration-dependent diffusion coefficient is defined, and it is evaluated by Monte Carlo calculations of a random walk by mobile point tracers in the presence of immobile obstacles on a triangular lattice, representing the diffusion of a lipid or a small protein in the presence of immobile membrane proteins. This work confirms and extends the milling crowd model of Eisinger, J., J. Flores, and W. P. Petersen (1986. Biophys J. 49:987-1001). Similar calculations for diffusion of mobile particles interacting by a hard-core repulsion yield the distance dependence of the self-diffusion coefficient. An expression for the range of short-range diffusion is obtained, and the distance scales for various diffusion measurements are summarized.     

Hemoglobin charge dependence on hemoglobin concentration in vitro

Studies have been made of the dependence of the charge of the hemoglobin molecule on hemoglobin concentration in the concentration range between 3 and 11 mmolal. The charge has been determined by measuring the distribution of ⁴²K between a hemoglobin solution in a cellophane bag and an external solution. The pH was 6.6, the K concentration was 10 mM, and the temperature was 4°C. The charge decreased along a sigmoid curve from a value of +3 in the most dilute solutions to a value of +0.5 in the most concentrated solutions. The results were in excellent agreement with earlier studies of Gary-Bobo and Solomon in which Cl distribution was measured between human red cells and external solutions and thus give added support to the conclusion that the apparent anomalous osmotic behavior of human red cells may be attributed to concentration-dependent changes in the hemoglobin net charge. The present findings also support the view that the water in the red cell is solvent water for K and Cl and differs in no quantitatively important respect from bulk water in free solution.     

Lateral diffusion of membrane proteins in protein-rich membranes. A simple hard particle model for concentration dependence of the two-dimensional diffusion coefficient.

A model for the effect of protein concentration on the rate of lateral diffusion of integral membrane proteins is presented, in which the proteins are represented by equivalent hard circular particles on a surface. As the density of particles increases, the probability of finding a vacancy immediately adjacent to a tracer particle into which it may diffuse decreases, resulting in a concomitant reduction of the tracer diffusion coefficient. Using scaled particle theory to calculate the concentration-dependent probabilities, a simple approximate result is obtained in closed form, that is compared with the results of previously published Monte Carlo lattice simulations and experimental observations.     

The concentration dependence of the diffusion coefficient for bovine pancreatic trypsin inhibitor: a dynamic light scattering study of a small protein

This paper reports the use of dynamic light scattering to investigate the concentration dependence of the diffusion coefficient for bovine pancreatic trypsin inhibitor (BPTI). BPTI is a small molecular weight protein (6511 Da) that has been the subject of numerous experimental studies. In addition to addressing questions that remain in the literature concerning the aggregation behavior of BPTI, we show that dynamic light scattering can be practically applied to proteins as small as BPTI, and that it can provide a useful means of parameterizing the solution behavior for proteins. We obtained values for the apparent diffusion coefficient of BPTI as a function of concentration over a range of pH values from 2.59 to 9.92 at an ionic strength of 0.3M, and over a range of ionic strength values from 0.1 to 0.5M at a pH of 7.0. The concentration dependence is linear for nearly all the conditions examined, even up to concentrations as high as 65 mg/mL. The average diffusion coefficient obtained at infinite dilution is 14.4 +/- 0.2 x 10(-7) cm2/s. This value agrees with that expected for a BPTI monomer hydrated with less than a monolayer of water. We used the theories of Felderhof, of Batchelor, and of Phillies, along with the DLVO theory to interpret the concentration dependence of the apparent diffusion coefficient. The variations observed with pH and ionic strength can be primarily attributed to screened coulombic interactions. In addition, there is an attractive interaction that is slightly stronger than the repulsive coulombic one, and that is essentially independent of pH and ionic strength. The attractive interactions appear to arise from nonspecific van der Waals interactions and do not lead to the formation of stable aggregates of BPTI.     

Low NO concentration dependence of reductive nitrosylation reaction of hemoglobin

The reductive nitrosylation of ferric (met)hemoglobin is of considerable interest and remains incompletely explained. We have previously observed that at low NO concentrations the reaction with tetrameric hemoglobin occurs with an observed rate constant that is at least 5 times faster than that observed at higher concentrations. This was ascribed to a faster reaction of NO with a methemoglobin-nitrite complex. We now report detailed studies of this reaction of low NO with methemoglobin. Nitric oxide paradoxically reacts with ferric hemoglobin with faster observed rate constants at the lower NO concentration in a manner that is not affected by changes in nitrite concentration, suggesting that it is not a competition between NO and nitrite, as we previously hypothesized. By evaluation of the fast reaction in the presence of allosteric effectors and isolated β- and α-chains of hemoglobin, it appears that NO reacts with a subpopulation of β-subunit ferric hemes whose population is influenced by quaternary state, redox potential, and hemoglobin dimerization. To further characterize the role of nitrite, we developed a system that oxidizes nitrite to nitrate to eliminate nitrite contamination. Removal of nitrite does not alter reaction kinetics, but modulates reaction products, with a decrease in the formation of S-nitrosothiols. These results are consistent with the formation of NO(2)/N(2)O(3) in the presence of nitrite. The observed fast reductive nitrosylation observed at low NO concentrations may function to preserve NO bioactivity via primary oxidation of NO to form nitrite or in the presence of nitrite to form N(2)O(3) and S-nitrosothiols.     

The body-size dependence of mutual interference

The parameters that drive population dynamics typically show a relationship with body size. By contrast, there is no theoretical or empirical support for a body-size dependence of mutual interference, which links foraging rates to consumer density. Here, I develop a model to predict that interference may be positively or negatively related to body size depending on how resource body size scales with consumer body size. Over a wide range of body sizes, however, the model predicts that interference will be body-size independent. This prediction was supported by a new dataset on interference and consumer body size. The stabilizing effect of intermediate interference therefore appears to be roughly constant across size, while the effect of body size on population dynamics is mediated through other parameters.     

Oxygenation of hemoglobin: Correspondence of crystal and solution properties using diffusion coefficient measurements

Quasi-elastic light scattering has been used to measure the change in the translational diffusion coefficient of hemoglobin upon oxygenation and the difference in the diffusion coefficients of oxy- and methemoglobin. The diffusion coefficients of oxy- and methemoglobin were found to be the same within the experimental accuracy of 0.2%, while the diffusion coefficient of oxyhemoglobin tetramers in solution at 13 mg/ml was found to be 0.8% smaller than that of deoxyhemoglobin at the same concentration, when the reversible dissociation of oxyhemoglobin tetramers into dimers was taken into account. In the limit of zero concentration, the oxyhemoglobin diffusion coefficient was found to be 1.5% ± 1.0% smaller than that of deoxyhemoglobin. This result is in very good agreement with what we predict using atomic coordinates to model the liganded and unliganded hemoglobin molecules as ellipsoids of revolution.     

Determination of the effective diffusion coefficient of oxygen in gel materials in relation to gel concentration

Summary The effective diffusion coefficient of oxygen, ID_e, was determined in different gel support materials (calcium alginate, -carrageenan, gellan gum, agar and agarose) which are generally used for immobilization of cells. The method used was based upon fitting Crank's model on the experimental data. The model describes the solute diffusion from a well-stirred solution into gel beads which are initially free of solute. The effect of the gel concentration on ID_e of oxygen in the gel was investigated. The results showed a decreasing ID_e for both agar and agarose at increasing gel concentration. In case of calcium alginate and gellan gum, a maximum in ID_e at the intermediate gel concentration was observed. It is hypothesized that this phenomenon is due to a changing gelpore structure at increasing gel concentrations. The ID_e of oxygen in calcium alginate, -carrageenan and gellan gum varied from 1.5^*10^–9 to 2.1^*10^–9 m²s^–1 in the gel concentration range of 0.5 to 5% (w/v).     

The volume dependence of the erythrocyte water diffusion permeability

The product of the water diffusion permeability and the membrane area of a human erythrocyte has been found to be nearly independent of the cell volume. The product was measured by an NMR technique. This result conflicts with previous flow tube determinations but is in accord with recent measurements of the hydraulic permeability and various solute permeabilities. The results are consistent with the major part of the water fllux traversing the membrane through a fixed number of pores. There may also be a minor non-pore flux. It appears to be practicable to follow volume changes in the red blood cell by an NMR technique.     

The concentration dependence of sedimentation for polysaccharides

The relationship between the sedimentation coefficient s₀ and its concentration coefficient k_s obtained in experiments on velocity sedimentation for polysaccharides is discussed. The values of s₀, k_s and an independently determined molecular weight reported by different authors for different polysaccharides are considered. It was established that the scaling relation. k_s∼ s₀ ^v unambiguously relates to the scaling relation s₀∼ M^b. The values of the sedimentation parameter β _s introduced on the basis of Svedberg's equation for s₀ and on the basis of the expression k_s = B 〈h²〉^3/2M^–1 are discussed and the generalized Wales-van Holde-Rowe equation M_KS = (N_A/β _S)^3/2[s]^3/2 k_S ^1/2 is used for evaluation of the molecular weights of polysaccharides. The adequacy of this evaluation is illustrated by taking as an example the determination of the unit length weight of an extra-rigid polysaccharide chain and of the equilibrium rigidity of rigid-chain, semi-rigid-chain and flexible-chain polysaccharides. The pair of experimental values s₀ and k_S obtained in a single series of experiments give the same information as may be obtained from the other pairs of hydrodynamic values such as [η] and s₀ or [η] and D₀, where [η] is the intrinsic viscosity and D₀ is the translational diffusion coefficient. Accepted: 11 December 1996     

The temperature dependence of erythrocyte water diffusion permeability

1. The activation energy of the diffusion water exchange in red blood cells increases with temperature. 2. Fetal blood has a higher activation energy for diffusion water exchange than adult blood. 3. Treatment of red cells with p-chloromercuribenzoate alters the activation energy and apparently allows a lipid and a protein pore pathway to be resolved. The permeability and activation energy of the treated cells is in the range found for lipid membranes; and the difference between treated and untreated cells, the "protein" pathway, has a diffusion activation energy comparable with that of free water. 4. A resolution of the discrepancies between the NMR methods of measuring diffusion water exchange is suggested.     

The facilitated diffusion of oxygen by hemoglobin and myoglobin.

We have clarified the use of Wyman's differential equation for the facilitated oxygen flux through a slab of solution of myoglobin or hemoglobin by showing that there is a unique choice of boundary condition on the carrier concentration to be employed in conjunction with it. The singular perturbation solution of Wyman's equation, due to Murrayand Mitchell and Murray, has been extended. By means of it, the paradox of Wittenberg, that the facilitated oxygen flux per mole of heme is apparently independent of the protein carrier, has been resolved.     

The diffusion coefficient for PGK folding in eukaryotic cells

We compare the folding kinetics of a fluorescent phosphoglycerate kinase construct in 30 mammalian cells with that in aqueous buffer. In both environments, the kinetics can be fitted to the functional form exp[−(t/τ)^β]. A histogram of τ shows that the average folding relaxation time in cells is only twice as long as in aqueous buffer. Consideration of the folding free energy and of β reveals that only some of the variation in τ arises from perturbation of the protein's energy landscape. Thus, the diffusion that controls barrier crossing during protein folding is nearly as fast in cells as in vitro, even though translational diffusion of phosphoglycerate kinase in the cell is slow compared to in vitro.     

Calculating the diffusion coefficient in the eye lens

An experimental investigation of the appearance of a cataract under intensive irradiation is carried out. On the basis of the results obtained a model is proposed of calculating the diffusion coefficient which can model the crystalline lens, its individual peculiarities being taken into account.