An expanded two-state allosteric model for interactions of human hemoglobin A with nonsaturating concentrations of 2,3-diphosphoglycerate

Oxygen binding curves (OEC) for red cell suspensions have a biphasic shape and reduced n50 values when the concentration of 2,3-diphosphoglycerate (DPG) is lowered by aging or experimental procedures. The mechanism for the abnormal shape of the OEC has been related to variations in the activity of free DPG. DPG binds to tetrameric Hb at a single site, and in red cells its normal concentration is equivalent to that of tetrameric Hb. This equivalence renders the oxygen affinity of Hb and the shape of the OEC very sensitive to small changes in the activity of DPG. The OEC for stripped Hb solutions in the presence of nonsaturating concentrations of DPG also exhibit a biphasic shape but with much larger changes in the n values than observed for red cells. Upon addition of chloride, a known competitor of DPG binding to Hb, the shape of the OEC becomes similar to that of red cell suspensions with the same DPG/Hb ratio. Studies on Hb solutions in the presence of varying concentrations of DPG, but without chloride, have revealed that the cofactor shifts the entire OEC to the right, including both its upper and lower asymptotes. This finding indicates that DPG lowers the intrinsic oxygen affinity for both the T and R states. Theoretical considerations leading to a successful modeling of OEC obtained under varying conditions of DPG and chloride require an expanded two-state allosteric model in which allowance is made for DPG-dependent variations in the dissociation constants of oxygen for both the T and R conformations.     

Adaptation to Hypoxia by Increased HbO<Subscript>2</Subscript> Affinity and Decreased Red Cell ATP Concentration

THERE is a decrease in the O₂ affinity of mammalian haemoglobin (Hb) as the levels of 2,3-DPG or ATP are increased, which is explained by an allosteric effect on the HbO₂ binding^1,2. Similar observations on amphibians³ and fish⁴, which have molar ratios of ATP to Hb similar to those of DPG to Hb in mammals, suggest that red cell organic phosphates modulate Hb function in all vertebrates. The adaptation of mammals to various hypoxic stresses involves reduced HbO₂ affinity^5–9, the attendant increase in O₂ “unloading” capacity being mediated by an increase in the concentration of red cell 2,3-DPG. We have found the opposite response in hypoxic fish and suggest that an increased O₂ affinity results in increased O₂ transport for the fish.     

Intracellular free magnesium and phosphorylated metabolites in hexokinase- and pyruvate kinase-deficient red cells measured using 31P-NMR spectroscopy

The erythrocyte metabolism of two patients with nonspherocytic hemolytic anemia caused by a hexokinase deficiency, and a pyruvate kinase deficiency, respectively, were studied with NMR. The complexing of ATP and 2,3-diphosphoglycerate (2,3-DPG) with Mg2+ and hemoglobin (Hb) was determined using 31P-NMR on oxygenated and deoxygenated cells to investigate the influences of these enzyme defects on intracellular magnesium distribution and on Hb oxygen dissociation. In the pyruvate kinase-deficient red blood cells, the 2,3-DPG concentration was almost twice the normal value and the ATP concentration was near the lower limit of the normal range. In the hexokinase-deficient red cell population, the predominance of young cells masked the deficiency. Therefore, reticulocyte control cells were included in this study. In the oxygenated pyruvate kinase-deficient cells, the fraction of ATP that is complexed to magnesium as well as the free Mg2+ concentration were normal, despite the abnormal concentration of 2,3-DPG. In the deoxygenated cells the free Mg2+ concentration was lower than in normal cells. The fraction of Hb complexed with 2,3-DPG was higher than normal in both oxygenated and deoxygenated pyruvate kinase-deficient cells, in accordance with the high p50 of the oxygen-hemoglobin dissociation curve. In hexokinase-deficient cells, two major abnormalities are found: when the cells were deoxygenated, the concentration of ATP and 2,3-DPG fell. This was not observed for any other sample and could, therefore, be a consequence of the hexokinase deficiency. Despite almost normal levels of magnesium-binding metabolites, the free Mg2+ concentration in oxygenated and deoxygenated cels is much lower than in normal cells. This could be a cell-age-related phenomenon, since lower free Mg2+ concentrations were also found in reticulocyte control cells.     

Simultaneous determination of low free Mg2+ and pH in human sickle cells using 31P NMR spectroscopy

The concentrations of free magnesium, [Mg(2+)](free), [H(+)], and [ATP] are important in the dehydration of red blood cells from patients with sickle cell anemia, but they are not easily measured. Consequently, we have developed a rapid, noninvasive NMR spectroscopic method using the phosphorus chemical shifts of ATP and 2,3-diphosphoglycerate (DPG) to determine [Mg(2+)](free) and pH(i) simultaneously in fully oxygenated whole blood. The method employs theoretical equations expressing the observed chemical shift as a function of pH, K(+), and [Mg(2+)](free), over a pH range of 5.75-8.5 and [Mg(2+)](free) range 0-5 mm. The equations were adjusted to allow for the binding of hemoglobin to ATP and DPG, which required knowledge of the intracellular concentrations of ATP, DPG, K(+), and hemoglobin. Normal oxygenated whole blood (n = 33) had a pH(i) of 7.20 +/- 0.02, a [Mg(2+)](free) of 0.41 +/- 0.03 mm, and [DPG] of 7.69 +/- 0.47 mm. Under the same conditions, whole sickle blood (n = 9) had normal [ATP] but significantly lower pH(i) (7.10 +/- 0.03) and [Mg(2+)](free) (0.32 +/- 0.05 mm) than normal red cells, whereas [DPG] (10.8 +/- 1.2 mm) was significantly higher. Because total magnesium was normal in sickle cells, the lower [Mg(2+)](free) could be attributed to increased [DPG] and therefore greater magnesium binding capacity of sickle cells.     

A follow-up on functional parameters of blood stored in ACD at +4 degrees C

The main functional parameters of blood stored at +4 degrees C in ACD, according to the common transfusional practice, have been carefully followed in the course of 40 days. The expected depletion of DPG takes place within 10 days, but apparently, no increase of the Hb affinity towards oxygen is observed in this period (or later), because pH lowering acts in the opposite direction during the same time. However, the intrinsic increased affinity of Hb is promptly revealed if the "actual" pHs are corrected at the standard value of 7.4, and/or are extrapolated at this pH from Bohr effect.     

Measurement of adenosine triphosphate and 2,3-diphosphoglycerate in stored blood with 31P nuclear magnetic resonance spectroscopy

Conditions for blood storage are chosen to assure adequate levels of adenosine triphosphate (ATP) and 2,3-diphosphoglycerate (2,3-DPG). Because of the invasive nature of the techniques, biochemical assays are not routinely used to measure levels of these compounds in stored blood. However, 31P NMR spectroscopy measures phosphorylated intermediates in intact cells and could be used without disruption of the storage pack. We compared levels of ATP and 2,3-DPG measured by 31P spectroscopy and standard enzyme-linked biochemical assays in whole blood (WB) and packed red blood cells (PRBCs) at weekly intervals during a 35-day storage period. NMR demonstrated a marked decrease in 2,3-DPG and an increase in inorganic phosphate after the first week of storage. No significant differences in ATP concentrations were seen in WB during the storage period, but a significant decrease in ATP in PRBCs was documented. There was good agreement in levels of ATP and 2,3-DPG measured by NMR and biochemical techniques. 31P NMR spectroscopy is a noninvasive technique for measuring ATP and 2,3-DPG which has a potential use in quality assurance of stored blood.     

Effects and post-effects of two-hour exhausting exercise on composition and gas transport functions of blood

Eleven male sport students (age 23.3 +/- 1.7 years) exercised for 2 h on a bicycle ergometer (60 rpm), the braking force of which was regulated to yield a constant pulse rate (156 +/- 3 min-1). Before, at end of, and 3 and 6 h after exercise blood was sampled from a cubital vein and an earlobe for measurement of hemoglobin (Hb) concentration, hematocrit (Hct) value, osmolality (Osm), plasma protein (Prot), sodium (Na+), potassium (K+), inorganic phosphate (Pi), and lactate (Lac) concentrations, red cell 2,3-diphosphoglycerate (DPG) and adenosin triphosphate (ATP) concentrations, acid base status and half saturation pressure (P50) of the oxygen dissociation curve. At end of exercise [Hb], Hct, [Prot], Osm, [K+], [Pi] and [Lac] were significantly elevated, pH in ear lobe (+ 0.04) and venous blood (+ 0.08) was also increased by both respiratory and nonrespiratory effects (BE + 1.4 mmol/l). The oxygen dissociation curve showed an unexplained slight right shift (standard P50 + 0.19 kPa). During the post-exercise period most parameters approximated to control values after only 3 h. [Prot] and especially [Pi], however, remained elevated while [DPG] slightly rose during the post-exercise period. It is suggested that these changes are first signs of adaptation to exercise, perhaps caused by endocrine stimulation.     

Erythrocyte 2,3-DPG,ATP and oxygen affinity in hemodialysis patients

Patients on a chronic hemodialysis regimen were studied with respect to their erythrocyte adaptation to anemia. Erythrocyte 2,3-diphosphoglycerate (DPG) concentration was suboptimal compared with that of anemic patients who were not uremic. In uremic patients erythrocyte 2,3-DPG correlated poorly with hemoglobin level but more strongly with plasma pH. Differences between observed levels of erythrocyte 2,3-DPG and the values predicted using data from other anemic patients also correlated with pH. Gradual correction of plasma pH with oral sodium bicarbonate resulted in a substantial increase in erythrocyte 2,3-DPG and a decrease in oxygen affinity. Therefore, maintenance of normal pH in uremic subjects may improve tissue oxygenation. On the other hand, the rapid correction of acidosis during dialysis resulted in increased oxygen affinity. This response was due to the direct effect of pH on oxygen affinity in the absence of a significant change in erythrocyte 2,3-DPG or adenosine triphosphate (ATP) during hemodialysis. Erythrocyte ATP but not 2,3-DPG correlated with serum inorganic phosphate in uremic subjects. A 21% reduction of serum phosphate produced by ingestion of aluminum hydroxide gel had no significant effect on these variables.     

Red cells of newborn rats have low bisphosphoglyceromutase and high pyruvate kinase activities in association with low 2,3-bisphosphoglycerate

2,3-Bisphosphoglycerate is a physiologically important regulator of red cell oxygen affinity during mammalian development. The rat has no fetal hemoglobin, but the newborn red cell has low 2,3-bisphosphoglycerate and high ATP concentrations, and high oxygen affinity. This report shows that red cell bisphosphoglyceromutase activity increases from near zero in the newborn rat to very high levels by four weeks of age. This increase roughly parallels the increase in red cell 2,3-bisphosphoglycerate concentration. Red cell pyruvate kinase activity declines ten-fold from birth to four weeks of age. This decrease is associated with a changeover in red cell populations from larger to smaller cells. The glycolytic rate is at least 50% higher in newborn than adult rat red cells. The data suggest that high pyruvate kinase activity and glycolytic rate contribute to the high ATP concentration in newborn rat red cells, but that their low 2,3-bisphosphoglycerate concentration is due primarily to low bisphosphoglyceromutase activity.     

Consequences of 6 weeks of strength training on red cell O2 transport and iron status

Effects of endurance training on O2 transport and on iron status are well documented in the literature. Only a few data are available concerning the consequences of strenuous anaerobic muscular exercise on red cell function. This study was performed to test the influence of strength training alone on parameters of red cell O2 transport and iron status. Twelve healthy untrained males participated in a strength-training programme of 2-h sessions four times a week lasting 6 weeks. After 6 weeks a small but significant reduction of haemoglobin (Hb; -5.4 g.l-1) was found (p less than 0.05). Mean red cell volume did not change, but a pronounced decrease of mean cell Hb concentration (from 329.2 g.l-1, SE 2.5 to 309.8 g.l-1, SE 1.2; p less than 0.001) and mean corpuscular Hb (from 29.6 pg, SE 0.4 to 27.7 pg, SE 0.3; p less than 0.01) was observed. Serum ferritin decreased significantly by 35% (p less than 0.01); transferrin, serum iron and iron saturation of transferrin were unaltered. Serum haptoglobin concentration was diminished significantly by 30.5% (p less than 0.01). The reticulocyte count had already increased after 3 weeks of training (p less than 0.05) and remained elevated during the following weeks. Strength training had no significant influence on the O2 partial pressure at which Hb under standard conditions was 50% saturated, red cell 2,3-diphosphoglycerate and ATP concentration as well as on erythrocytic glutamate-oxalacetate transaminase activity. The data demonstrate that mechanical stress of red cells due to the activation of large muscle masses led to increased intravascular haemolysis, accompanied by a slightly elevated erythropoiesis, which had no detectable influence on Hb-O2 affinity. Training caused an initial depletion of body iron stores (prelatent iron deficiency). Although Hb had decreased by the end of the training phase a true "sports anaemia" could not be detected.     

Analysis of oxygen binding by hemoglobin on the basis of mean intrinsic thermodynamic quantities

The binding data for oxygenation of human hemoglobin, Hb, at various temperatures and in the absence and presence of 2,3-diphosphoglycerate, DPG, and inositol hexakis phosphate, IHP, were analyzed for extraction of mean intrinsic Gibbs free energy, DeltaGo, enthalpy, DeltaHo, and entropy, DeltaSo, of binding at various partial oxygen pressures. This method of analysis considers all the protein species present such as dimer and tetramer forms which were not considered by Imai et al. (Imai K et al., 1970, Biochim Biophys Acta 200: 189-196), in their analysis which was based on Adair equation. In this regard, the values of Hill equation parameters were estimated with high precision at all points of the binding curve and used for calculation of DeltaGo, DeltaHo and DeltaSo were also calculated by analysis of DeltaGo values at various temperatures using van't Hoff equation. The results represent the enthalpic nature of the cooperativity in Hb oxygenation and the compensation effect of intrinsic entropy. The interpretation of results also to be, into account the decrease of the binding affinity of sites for oxygen in the presence of DPG and IHP without any considerable changes in the site-site interaction (extent of cooperativity). In other words, the interactions between bound ligands, organic phosphates and oxygen, are more due to a decreasing binding affinity and not to the reduction of the cooperative interaction between sites. The results also document the more heterotropic effect of IHP compared to DPG.     

Erythrocyte phosphofructokinase in rat strains with genetically determined differences in 2,3-diphosphoglycerate levels

We have studied the erythrocyte enzyme phosphofructokinase (PFK) from two strains of Long-Evans rats with genetically determined differences in erythrocyte 2,3-diphosphoglycerate (DPG) levels. The DPG difference is due to two alleles at one locus. With one probable exception, the genotype at this locus is always associated with the hemoglobin (Hb) electrophoretic phenotype, due to a polymorphism at the ^III-globin locus. The enzyme PFK has been implicated in the DPG difference because glycolytic intermediate levels suggest that this enzyme has a higher in vivo activity in High-DPG strain rats, although the total PFK activity does not differ. We report here that partially purified erythrocyte PFK from Low-DPG strain cells is inhibited significantly more at physiological levels of DPG (P<0.01) than PFK from High-DPG strain erythrocytes. Citrate and adenosine triphosphate also inhibit the Low-DPG enzyme more than the High-DPG enzyme. Therefore, a structurally different PFK, with a greater sensitivity to inhibitors, may explain the lower DPG and ATP levels observed in Low-DPG strain animals. These data support a two-locus (Hb and PFK) hypothesis and provide a gene marker to study the underlying genetic and physiologic relationships of these loci.This investigation was supported in part by Grant AM 14898, National Research Service Award 5 F 32 AM 05418, and Biochemical Research Support Grant 5 S07 RR 05551 from the National Institutes of Health.     

Identification of a Major Locus Contributing to Erythrocyte 2,3-Diphosphoglycerate Variability in Hooded (Long-Evans) Rats

The erythrocyte glycolytic intermediate 2,3-diphosphoglycerate (DPG) and adenosine triphosphate (ATP) play an important role in oxygen transport and delivery by binding to hemoglobin (Hb) and reducing its affinity for oxygen. Considerable quantitative variability in the levels of DPG and ATP exists in human populations and in a population of hooded (Long-Evans) rats we have studied. This paper presents the results of studies on the genetic component of DPG-level variation in an outbred population of hooded rats. Beginning with about 100 rats, a two-way selection experiment was initiated. Pairs of rats with the highest DPG levels were mated to produce a High-DPG rat strain and animals with the lowest DPG levels were mated to produce a Low-DPG strain. Mean DPG levels responded rapidly to selection and, from generation 3 on, the differences between strain means were highly significant. Ten High-DPG strain rats were intercrossed with 10 Low-DPG strain rats of generation 10 to produce an F₁ generation in which the DPG levels were almost as high as those of High-DPG animals. This indicates partial dominance of High-DPG alleles. The F₂ DPG-level distribution showed two distinct subpopulations. The high DPG subpopulation contained three times as many animals as the low DPG subpopulation. From these results and the statistical analyses performed, it was concluded that the DPG differences between strains were due to an allelic difference at one major locus, the allele carried by the High-DPG strain showing partial dominance over the allele carried by the Low-DPG strain. It appears that this locus may also effect ATP levels to a large extent and is polymorphic in hooded rat populations. Identification of this locus gives us a useful tool for studies of the physiological effects of DPG variability, as well as providing an example of a major gene effect in a quantitatively varying trait.     

Two mutations in recombinant Hb beta F41(C7)Y, K82 (EF6)D show additive effects in decreasing oxygen affinity.

Based on the properties of two low oxygen affinity mutated hemoglobins (Hb), we have engineered a double mutant Hb (rHb beta YD) in which the beta F41Y substitution is associated with K82D. Functional studies have shown that the Hb alpha 2 beta 2(C7)F41Y exhibits a decreased oxygen affinity relative to Hb A, without a significantly increased autooxidation rate. The oxygen affinity of the natural mutant beta K82D (Hb Providence-Asp) is decreased due to the replacement of two positive charges by two negative ones at the main DPG-binding site. The functional properties of both single mutants are interesting in the view of obtaining an Hb-based blood substitute, which requires: (1) cooperative oxygen binding with an overall affinity near 30 mm Hg at half saturation, at 37 degrees C, and in the absence of 2,3 diphosphoglycerate (DPG), and (2) a slow rate of autooxidation in order to limit metHb formation. It was expected that the two mutations were at a sufficient distance (20 A) that their respective effects could combine to form low oxygen affinity tetramers. The double mutant does display additive effects resulting in a fourfold decrease in oxygen affinity; it can insure, in the absence of DPG, an oxygen delivery to the tissues similar to that of a red cell suspension in vivo at 37 degrees C. Nevertheless, the rate of autooxidation, 3.5-fold larger than that of Hb A, remains a problem.     

Human red blood cells with normal or improved oxygen transport function prepared and frozen in the primary polyvinyl chloride plastic blood collection container.

This is a report a a new system for freezing human red blood cells in the same polyvinyl chloride plastic container in which the blood is collected and separated into components. This polyvinyl chloride plastic collection bag with integrally attached transfer packs for blood collection, component separation, red blood cell biochemical modification, freezing, storage, and post-thaw dilution before washing, represents a major advancement in the freeze-preservation process. The label with the donor's blood type and identification number affixed to the bag at the time of collection remains in place throughout the freezing and thawing process. The transfused red blood cells are of superior quality, and the processing cost is less than with other methods of freeze-preservation. There is a lower risk of contamination with these red blood cells because manipulation of the product is kept at a minimum. "Rejuvenation", a bioengineering process by which outdated red blood cells can be salvaged, can be incorporated into the preservation process using one of the attached transfer packs of the primary collection bag. This process has been introduced as a possible means of alleviating the dramatic blood shortages which occur periodically. Red blood cells may also be "rejuvenated" after storage in the liquid state to increase their 2,3 DPG and ATP levels to 150 to 200% of normal, and these red blood cells with improved oxygen transport function have been administered to anemic patients with and without cardiopulmonary insufficiency, patients undergoing cardiopulmonary bypass and treatment with hypothermia during cardiac surgery, and in instances where nonhemolytic transfusion reactions might be expected.     

The red cell sodium, potassium, inorganic phosphate, ATP and 2,3DPG concentrations in chronic renal failure

In dialysis and non-dialysis patients with terminal renal failure the red cell ATP and 2,3 DPG concentrations are increased. Inorganic phosphate level in red cells is nearly normal in both groups of patients. The red cell potassium concentration is decreased in both groups. Sodium concentration in red cells is significantly lower in dialysis than in non-dialysis patients, the former being lower and the latter being higher, than the average normal value.     

Refinement and evaluation of a model of Mg2+ buffering in human red cells.

The total Mg2+ content of human red cells ([Mg]T,i) is partitioned between free and bound forms. The main cytoplasmic Mg2+ buffers are ATP and 2,3 bisphosphoglycerate. Haemoglobin binds free ATP and bisphosphoglycerate, preferentially in the deoxygenated state. Thus, the free ionized Mg2+ concentration ([Mg2+]i) oscillates with the oxy-deoxy condition of the cells. The binding reactions are also modulated by the pH changes that accompany the oxygenation-deoxygenation transitions. The complex interactions between Mg2+, its ligands and Hb can be encoded in a set of equilibrium equations representing all the known binding reactions of the system. To develop a comprehensive understanding of the Mg2+ homeostasis of intact red cells it is necessary to correct and refine the equations and parameters of the model by systematic comparisons between model predictions and measured cytoplasmic Mg2+ buffering curves under a variety of experimental conditions. Earlier models largely underestimated total Mg2+ binding in intact cells. We carried out experiments in which [Mg]T,i and [Mg2+]i were controlled over a wide range ([Mg]T,i between 0.1 and 23 mM) by the use of the ionophore A23187, under diverse metabolic conditions, and the results were used to interpret the adjustments required for good model fits. By the inclusion of low-affinity Mg2+ binding to ATP and bisphosphoglycerate, and also binding of Mg2+ to haemoglobin (four ions per tetramer) with an apparent dissociation constant of 45 mM we were able to realistically model, for the first time, all the experimentally observed changes in [Mg2+]i in human red cells under diverse metabolic conditions.     

Isohemoglobin differentiation in the bimodal-breathing amazon catfish Hoplosternum littorale

The bimodal gill(water)/gut(air)-breathing Amazonian catfish Hoplosternum littorale that frequents hypoxic habitats uses "mammalian" 2,3-diphosphoglycerate (DPG) in addition to "piscine" ATP and GTP as erythrocytic O(2) affinity modulators. Its electrophoretically distinct anodic and cathodic hemoglobins (Hb(An) and Hb(Ca)) were isolated for functional and molecular characterization. In contrast to Hb(An), phosphate-free Hb(Ca) exhibits a pronounced reverse Bohr effect (increased O(2) affinity with decreasing pH) that is obliterated by ATP, and opposite pH dependences of K(T) (O(2) association constant of low affinity, tense state) and the overall heat of oxygenation. Dose-response curves indicate small chloride effects and pronounced and differentiated phosphate effects, DPG < ATP < GTP < IHP. Hb(Ca)-O(2) equilibria analyzed in terms of the Monod-Wyman-Changeux model show that small T state bond energy differences underlie the differentiated phosphate effects. Synthetic peptides, corresponding to N-terminal fragment of the cytoplasmic domain of trout band 3 protein, undergo oxygenation-linked binding to Hb(Ca), suggesting a metabolic regulatory role for this hemoglobin. The amino acid sequences for the alpha and beta chains of Hb(Ca) obtained by Edman degradation and cDNA sequencing show unusual substitutions at the phosphate-binding site that are discussed in terms of its reverse Bohr effect and anion sensitivities.     

25Mg NMR studies of magnesium binding to erythrocyte constituents.

The binding of Mg2+ ion to ATP, ADP, AMP, 2,3-bisphosphyoglycerate (DPG), and hemoglobin has been studied by 25Mg NMR spectroscopy at 9.4 T. Addition of any of these ligands to a solution of 2 mM 25MgCl2 at pH 7.2 caused a progressive increase in linewidth, with no discernible chemical shift. ATP and ADP, which form tight 1:1 complexes with Mg2+, did not cause maximal broadening until present in several-fold excess, implying that bis(nucleotide) complexes also form. The studies showed progressively weaker Mg2+ binding to ATP, ADP, DPG, and AMP, consistent with published binding constants. Hemoglobin cause fairly little broadening, consistent with its known weak affinity for Mg2+. Competition studies determined ATP affinities for Ca2+ and H+ that were also in good agreement with published values. 25Mg NMR spectra of 2 mM bound 25Mg2+ were obtained with good signal to noise in less than 1 hr. The technique may now be a practical means for studying the binding of Mg2+ within erythrocytes and other cells.     

Hemoglobin affinity for 2,3-bisphosphoglycerate in solutions and intact erythrocytes: studies using pulsed-field gradient nuclear magnetic resonance and Monte Carlo simulations.

The diffusion coefficient (D) of 2,3-bisphosphoglycerate (DPG) was measured using pulsed-field gradient (PFG)-31P nuclear magnetic resonance spectroscopy in solutions containing 2.7-5.0 mM hemoglobin (Hb) and a range of DPG concentrations. The dependence of the measured values of D on the fraction of the total DPG in the sample that is bound to Hb enabled the estimation of the dissociation constants (Kd) of complexes of DPG with carbonmonoxygenated, oxygenated, and deoxygenated Hb; the values of Kd (mM), measured at 25 degrees C, pH 6.9 and in 100 mM bis Tris/50 mM KCl, were 1.98 +/- 0.26, 1.8 +/- 0.5 and 0.39 +/- 0.26, respectively. In intact erythrocytes the apparent diffusion coefficient, Dapp, of DPG was larger in oxygenated and carbonmonoxygenated cells (6.17 +/- 0.20 x 10(-11) m2s-1) than in deoxygenated cells (4.10 +/- 0.23 x 10(-11) m2s-1). Changes in intracellular DPG concentration (5-55 mM) in erythrocytes, brought about by incubation in a medium containing inosine and pyruvate, did not result in significant changes in the value of Dapp; this result supports the hypothesis that DPG binds to other sites in the erythrocyte. Monte Carlo simulations of diffusion in biconcave discs were used to test the adequacy of the values of Kd estimated in solution to describe the binding of DPG to Hb in oxygenated and deoxygenated erythrocytes. The results of the simulations implied that the value of Kd estimated for deoxygenated Hb-DPG was greater than expected from the experiments involving intact erythrocytes. This difference is surmised to be at least partly due to the difficulty of measuring D at low-ligand concentrations. Notwithstanding this shortcoming, the PFG method appears to be suitable for probing interactions between macromolecules and ligands when the Kd is in the millimolar range. It is one of the few techniques available in which these interactions can be studied in intact cells. In addition, the Monte Carlo simulations of the diffusion experiments highlighted important differences between theory and experiment relating to the nature of molecular motion inside the cells.