A reaction cell for simultaneous measurements of fluorescence and absorption in a hemoglobin solution at various oxygen pressures

An apparatus was constructed to carry out measurements of fluorescence, optical absorption and oxygen partial pressure in a hemoglobin or other solution simultaneously, and its performance was examined. This apparatus has a rhombiform optical cell in place of the usual square optical cell used in commercially available spectrofluorometers. Fluorescence emitted at the region near the cell surface in the solution could be detected satisfactorily and easily even if the solution had strong light absorption bands at both the excitation and the emission wavelengths in the presence of high concentrations of a chromophore. This apparatus was particularly effective for studies on the interactions of a fluorescent allosteric effector with hemoglobin at various degrees of deoxygenation. Consequently, it was proved experimentally that the fluorescence of β-naphthyl triphosphate bound to hemoglobin is completely quenched. Moreover, simultaneous and continuous measurements of the oxygen-binding equilibrium of hemoglobin and the allosteric effector-binding to hemoglobin as a function of oxygen partial pressure could be satisfactorily carried out, and it is confirmed that β-naphthyl triphosphate binds not only to deoxyhemoglobin but also to fully oxygenated hemoglobin and lowers strongly the oxygen affinity of hemoglobin as an allosteric effector.     

Molecular oxygen binding with α and β subunits within the R quaternary state of human hemoglobin in solutions and porous sol–gel matrices

Nanosecond laser flash-photolysis technique was used to study bimolecular and geminate molecular oxygen (O₂) rebinding to α and β subunits within oxygenated human adult hemoglobin in solutions and porous wet sol–gel matrices. Plasticity associated with the tertiary structure within R-state hemoglobin is explored through measurements that focus on the functional properties of hemoglobin under conditions designed to tune the tertiary structure without inducing the R to T transition. Inequivalence in the O₂ binding to the α and β hemes within the R quaternary structure is studied. The individual kinetic properties of the α and β subunits within the hemoglobin encapsulated in sol–gels and aged as the oxy derivative are shown to be independent of proton concentration over the pH range from 6.3 to 8.5. However, buffer effects on the subunits' properties are revealed in sol–gel-free mediums. Interestingly, the α and β subunits within the encapsulated hemoglobin possess the O₂ rebinding properties which fall within the range of the ones for oxygenated hemoglobin in the buffer solutions. The combined results show a pattern in which there is a progression of functional properties that are ascribed to a family of conformational substates of R-state hemoglobin. O₂ rebinding to the α and β subunits within the oxygenated R-state hemoglobin in both solutions and wet sol–gels is revealed to be modulated by tertiary structural changes in two quite different ways. The possible structural changes, which modify the O₂ rebinding properties, are discussed.     

Structure-volume relationships in hemoglobin. A densitometric and dilatometric study of the oxy leads to deoxy transformation.

Partial volume measurements have been performed for human hemoglobin, both on the oxygenated and deoxygenated forms. Density measurements (by pycnometry) give vHbO2 = 0.752 +/- 0.002 and vHb =0.753 +/- 0.006 for the partial specific volume and do not distinguish between the two different structures. Differential measurements, by dilatometry, however, show a signigicantly higher molal volume (of about 50 cm3/mol hemoglobin tetramer) for the deoxy over the oxygenated from at pH 7. The same reaction, at pH 9, gives a much smaller increase or even a decrease of volume. The different volume changes at pH 7 and at pH 9 are not due to the so-called Bohr ionization but to the weakening, at pH 9 compared to pH 7, of stabilising salt linkages in the deoxy structure.     

Nonlinear optical effects in oxygen-binding reactions of hemoglobin A0

Optical spectra have been taken in the Soret band (440-400 nm) under different oxygen partial pressures for hemoglobin (Hb) A0 at pH 7.0, 15 degrees C, 2-3 mM heme, 30 mM inositol hexaphosphate, 0.1 Hepes and 0.1 M NaCl. Application of the matrix method of singular value decomposition (SVD) to the difference spectra for different oxygen pressures shows the presence of at least two distinct optical transitions. From this result one concludes that the optical response to oxygen binding is nonlinear in the Soret band. The degree of nonlinearity has been determined by fitting the data at different wavelengths to the four-step reaction Adair equation with the inclusion of optical parameters that describe the intermediate oxygenated species. It is found that the data are well-represented by two optical parameters at each wavelengths, one which represents the optical change for the addition of the first and second oxygen molecules and the other which corresponds to the change for the addition of the third and fourth oxygen molecules. The ratio of these optical parameters depends only moderately upon wavelength with an average value of 0.8 over the Soret band. Thus, there is an approx. 20% smaller optical response for the first two ligated species than that for the last two ligated species. The overall Adair equilibrium constants are evaluated as follows: beta 1 = 0.081 +/- 0.003 Torr-1, beta 2 = 2.53 x 10(-3) +/- 2.4 x 10(-4) Torr-2, beta 3 = 1.25 x 10(-5) +/- 1.0 x 10(-6) Torr-3, beta 4 = 1.77 x 10(-6) +/- 1.5 x 10(-7) Torr-4.     

Nitric oxide scavenging by red blood cells as a function of hematocrit and oxygenation

The reaction rate between nitric oxide and intraerythrocytic hemoglobin plays a major role in nitric oxide bioavailability and modulates homeostatic vascular function. It has previously been demonstrated that the encapsulation of hemoglobin in red blood cells restricts its ability to scavenge nitric oxide. This effect has been attributed to either factors intrinsic to the red blood cell such as a physical membrane barrier or factors external to the red blood cell such as the formation of an unstirred layer around the cell. We have performed measurements of the uptake rate of nitric oxide by red blood cells under oxygenated and deoxygenated conditions at different hematocrit percentages. Our studies include stopped-flow measurements where both the unstirred layer and physical barrier potentially participate, as well as competition experiments where the potential contribution of the unstirred layer is limited. We find that deoxygenated erythrocytes scavenge nitric oxide faster than oxygenated cells and that the rate of nitric oxide scavenging for oxygenated red blood cells increases as the hematocrit is raised from 15% to 50%. Our results 1) confirm the critical biological phenomenon that hemoglobin compartmentalization within the erythrocyte reduces reaction rates with nitric oxide, 2) show that extra-erythocytic diffusional barriers mediate most of this effect, and 3) provide novel evidence that an oxygen-dependent intrinsic property of the red blood cell contributes to this barrier activity, albeit to a lesser extent. These observations may have important physiological implications within the microvasculature and for pathophysiological disruption of nitric oxide homeostasis in diseases.     

Effect of oxygen binding on the dielectric properties of hemoglobin

The dielectric properties of horse hemoglobin have been investigated in the frequency range for 100 kcps to 15 Mcps at varying degrees of oxygenation. A linear dependence of the specific increment on the degree of oxygenation was found under a variety of experimental conditions, the increment of oxygenated hemoglobin being about 10% larger than that of deoxygenated hemoglobin. A similar difference was obtained with human adult and fetal hemoglobin. No variation of the dielectric parameters as reported by Takashima and Lumry could be detected.     

Metal complexes as allosteric effectors of human hemoglobin: an NMR study of the interaction of the gadolinium(III) bis(m-boroxyphenylamide)diethylenetriaminepentaacetic acid complex with human oxygenated and deoxygenated hemoglobin

The boronic functionalities on the outer surface of the Gd(III) bis(m-boroxyphenylamide)DTPA complex (Gd(III)L) enable it to bind to fructosamine residues of oxygenated glycated human adult hemoglobin. The formation of the macromolecular adduct can be assessed by NMR spectroscopy via observation of the enhancement of the solvent water proton relaxation rate. Unexpectedly, a strong binding interaction was also observed for the oxygenated unglycated human adult hemoglobin, eventually displaying a much higher relaxation enhancement. From relaxation rate measurements it was found that two Gd(III)L complexes interact with one hemoglobin tetramer (KD = 1.0 x 10(-5) M and 4.6 x 10(-4) M, respectively), whereas no interaction has been observed with monomeric hemoproteins. A markedly higher affinity of the Gd(III)L complex has been observed for oxygenated and aquo-met human adult hemoglobin derivatives with respect to the corresponding deoxy derivative. Upon binding, a net change in the quaternary structure of hemoglobin has been assessed by monitoring the changes in the high-resolution 1H-NMR spectrum of the protein as well as in the Soret absorption band. On the basis of these observations and the 11B NMR results obtained with the diamagnetic La(III)L complex, we suggest that the interaction between the lanthanide complex and deoxygenated, oxygenated, and aquo-met derivatives of human adult hemoglobin takes place at the 2, 3-diphosphoglycerate (DPG) binding site, through the formation of N-->B coordinative bonds at His143beta and His2beta residues of different beta-chains. The stronger binding to the oxygenated form is then responsible for a shift of the allosteric equilibrium toward the high-affinity R-state. Accordingly, Gd(III)L affinity for oxygenated human fetal hemoglobin (lacking His143beta) is significantly lower than that observed for the unglycated human adult tetramer.     

The detection of cytochrome oxidase heme iron and copper absorption in the blood-perfused and blood-free brain in normoxia and hypoxia.

The resolution of cytochrome and hemoglobin changes in in vivo rat and cat brains has required studies over wide wavelength ranges (580-1100 nm) with a novel spectroscopic technique using blood-free and blood-perfused brains. Tissue oxygen was varied from physiological levels to 0 and hematocrits were varied from normal to less than 1%. The experimental results were subjected to a multicomponent analysis using the Beer-Lambert law. At normal hematocrits, the oxygen saturation of hemoglobin in the brain was found to be 30-50% in rats and cats, indicating that the optical method responded primarily to the saturation of the venous ends of the capillary beds. With low hematocrits, both brains showed the absorption band of reduced cytochrome c, the iron component of cytochrome aa3, plus the absorption band of the oxidized copper component. In cat brains, the background absorption changed at all wavelengths. Thus, no isosbestic points were observed in the spectra. In rat brains, however, they were readily observed. The "overtones" of water absorption in the NIR region were found to be significant in the difference spectra of the cat brain, but not in the rat brain. Parallel absorbance changes in the heme and copper components of cytochrome aa3 were obtained in rat and cat brains during the normoxic-hypoxic transition. The ratio of the iron absorbance at 605 nm to the copper absorbance at 830 nm is much smaller in both brains than the in vitro value due to the shorter path length of photon migration at the shorter wavelengths.(ABSTRACT TRUNCATED AT 250 WORDS)     

Quantitative multi‐spectral oxygen saturation measurements independent of tissue optical properties

Imaging of tissue oxygenation is important in several applications associated with patient care. Optical sensing is commonly applied for assessing oxygen saturation but is often restricted to local measurements or else it requires spectral and spatial information at the expense of time. Many methods proposed so far require assumptions on the properties of measured tissue. In this study we investigated a computational method that uses only multispectral information and quantitatively computes tissue oxygen saturation independently of tissue optical properties. The method is based on linear transformations of measurements in three isosbestic points. We investigated the ideal isosbestic point combination out of six isosbestic points available for measurement in the visible and near‐infrared region that enable accurate oxygen saturation computation. We demonstrate this method on controlled tissue mimicking phantoms having different optical properties and validated the measurements using a gas analyzer. A mean error of 2.9 ± 2.8% O₂Sat was achieved. Finally, we performed pilot studies in tissues in‐vivo by measuring dynamic changes in fingers subjected to vascular occlusion, the vasculature of mouse ears and exposed mouse organs.

Selected steps of spectral transformations applied to oxygenation spectra. The original reflectance spectrum M(λ) is transformed in step 1 to overlap with reference spectra (grey) in three isosbestic points, resulting in M″(λ). In step 2, the gradient of M″(λ) is computed resulting in M″_grad(λ), which can be used for quantitative oxygenation computation.     

Monte Carlo simulation of NIR diffuse reflectance in the normal and diseased human breast tissues

The spectral reflectance measurements in tissue reveal physiological meaning. Normally, functional changes like, increase in total hemoglobin concentration, decrease in oxygen saturation, etc., are observed when there is an abnormality creeping in the normal tissue. These functional changes can act together to reveal disease by non-invasive near-infrared (NIR) spectroscopy, as it influence its optical properties. In the present study, a simple two dimensional, four layer model of breast is proposed. The four layers are (i) skin (ii) adipose layer (iii) glandular tissue and (iv) muscle. Each layer is modeled with appropriate biological chromophores like hemoglobin, water, lipid and melanin. From the literature, the concentrations and molar extinction coefficients of the chromophores in various layers of the model are obtained. These values are used to calculate the wavelength dependent absorption characteristics of a particular layer. Monte Carlo simulation of diffuse reflectance (percentage of back reflected photons after multiple scattering with the broad variety of angles) are simulated for the modeled breast tissue with and without diseased condition. Near-infrared wavelengths are chosen, as the depth of penetration in tissue is more compared to UV and visible region. Simulations are carried out on the modeled breast tissue for different races (skin colors) at different NIR wavelengths. Results show significant changes in diffuse reflectance and relative absorbance for normal and diseased breast tissues for differently pigmented model. This model can be used to study the photo dynamical therapy, drug delivery and prognosis of cancer.     

Use of dual wavelength spectrophotometry and continuous enzymatic depletion of oxygen for determination of the oxygen binding constants of hemoglobin

A small stopped-flow cuvette was built into a computer-controlled Cary 210 spectrophotometer. The enzymatic depletion of oxygen in solutions of hemoglobin and myoglobin was initiated by flowing the hemeproteins with the enzyme against a solution of the hemeproteins containing the appropriate substrate. The deoxygenation was homogeneous throughout the solution. Oxygen activity was calculated at each instant of time from the fractional saturation of Mb, determined from observations at the Hb/HbO2 isosbestic wavelength. Fractional saturation of Hb was determined from absorbances at the Mb/MbO2 isosbestic wavelength. The spectrophotometer cycled between these two wavelengths during the deoxygenation. The deoxygenation of HbO2 was largely complete in 20-25 min, whereas the deoxygenation of MbO2 was allowed to proceed for about 1 h. This procedure eliminates equilibration of Hb solutions with a gas phase and replaces oxygen electrode readings with spectrophotometric sensing by Mb, providing essentially instantaneous determinations of oxygen activity and hence 250-500 or more independent data points per run. The Mb and Hb data vectors require several manipulations to correct for small relative displacements in time and for small non-isosbestic effects. Detailed consideration of the enzyme kinetics allowed oxygen activities to be determined in regions where Mb is a poor sensor. Studies of HbO2 deoxygenation as a function of wavelength show that the determination of the four Adair constants requires in addition the determination of three spectroscopic parameters. Values of the apparent Adair constants, determined without these spectroscopic parameters, depend strongly on the monitoring wavelength.     

Analysis of cooperativity in hemoglobin. Valency hybrids, oxidation, and methemoglobin replacement reactions.

An allosteric model proposed previously for structure-function relations in hemoglobin is applied to the analysis of low- and high-spin valency hybrids. By assuming that the low-spin oxidized chains have the tertiary structure of oxygenated chains while the high-spin oxidized chains have a tertiary structure intermediate between that of deoxygenated and oxygenated chains, the model parameters associated with the different valency hybrids can be obtained, and their equilibrium properties can be estimated. The hybrid results are used also to provide an interpretation of methemoglobin and its ligand replacement reactions and of the oxidation-reduction equilibrium of normal hemoglobin. For the various systems studied it is found that the effects of pH and 2,3-diphosphoglycerate are in agreement with the model.     

Intermolecular interactions of oxygenated sickle hemoglobin molecules in cells and cell-free solutions.

We have measured the intermolecular interactions of oxygenated sickle hemoglobin molecules in cells and in cell-free solutions, and have compared the results with similar data for liganded normal adult hemoglobin. The experiments involve the measurement of the spin-lattice relaxation time T1 of protons of solvent water molecules, as a function of an externally applied static magnetic field. From such data, one can derive a correlation time tauc, for each sample, which is a measure of the time taken for a hemoglobin molecule to randomize its orientation due to Brownian motion. Thus tauc is a measure of the freedom of rotational motion, on a molecular or microscopic level, of hemoglobin molecules. Intermolecular interactions will reduce this freedom of motion and lengthen tauc. We find that oxygenated sickle hemoglobin molecules have an additional intermolecular interaction not found for normal hemoglobin. This extra interaction is increased by the presence of either inorganic phosphate or diphosphoglycerate, and is greater for sickle hemoglobin within cells than in cell-free solutions. By comparing the present results with published data on the viscosity of oxygenated sickle and normal hemoglobin, we conclude that, at concentrations comparable to intracellular values, oxygenated sickle hemoglobin molecules form aggregates several tetramers in size. The possibility exists that these aggregates are the earliest stage of fiber formation itself, the physical basis of the sickling phenomena.     

Testing the two-state model: anomalous effector binding to human hemoglobin

Three allosteric states are required to describe the relaxation of (carbon monoxy) hemoglobin following flash photolysis. Combined absorbance and fluorescence probes were used. The absorbance signals consist of a component corresponding to ligand recombination and a component for the R-T transition. The fluorescence of 8-hydroxy-1,3,6-pyrenetrisulfonate (HPT), an analogue of 2,3-diphosphoglycerate, shows rates and amplitudes correlated with the absorbance transients. Measurements were made at pII 6, 6.5, and 7.0 at CO partial pressures of 0.1 and 1 atm. The fractional photolysis was varied in each case to change the initial distribution of the R states. Data show an immediate absorbance change due to ligand dissociation, while the changes in the ligand isosbestic and the fluorescence signals occur with time constants of 80 microseconds (at pH 6.5). The signals then show a biphasic return to equilibrium, characteristic of the allosteric system. The measurements provide three independent probes of the kinetics of the substates of hemoglobin. Although the ligand binding data can be generally represented by a two-state model, the fluorescence data require T states with different affinities for HPT.     

Skin reflectance relationships with temperature and skinfolds

Skin reflectance measurements were taken with six filters at a site on the medial aspect of the upper arm (underarm) prior to and following topical application of a cold compress. Skinfolds were measured at the underarm and triceps sites. The experiment was designed to test for effects of skin surface temperature and subcutaneous fat variations on skin color as determined by reflectometry. Topical cold-induced erythema of the skin produced marked declines in % reflectance at the shorter visible wavelengths over the range of violet, blue, and green, and only slight declines in % reflectance at the longer visible wavelengths (red range). This is consistent with the observation from past work that there is little hemoglobin absorptance at the red end of the visible spectrum. A positive relationship between the change in % reflectance following topical cold application and underarm skinfold was recorded. Hence, the thickness of fat deposits may contribute to variation in skin reflectance. Since only large temperature differences influenced skin reflectance measurements, the need is not great for fieldworkers to control for surface temperature at the underarm site during skin reflectance survey.     

Fluorescence properties of rhodamine 800 in whole blood and plasma

We have characterized the fluorescence spectral properties of rhodamine 800 (Rh800) in plasma and blood in order to test the possibility of making clinical fluorescence measurements in whole blood without separation steps. Rh800 was used because of its absorption at red/near-infrared wavelengths away from the absorption bands of hemoglobin. We utilized the front-face illumination and detection to minimize the effects of absorption and/or scatter during measurements. The presence of Rh800 was detected in plasma and blood using steady-state fluorescence measurements. Absorption due to hemoglobin reduced the Rh800 intensity from the blood. Fluorescence lifetime measurements in plasma and blood showed that it is possible to recover lifetime parameters of Rh800 in these media. We obtained mean lifetimes of 1.90 and 1.86 ns for Rh800 in plasma and blood, respectively. Using the recently described modulation sensing method, we quantified the concentrations of Rh800 in plasma and blood. Rh800 was detected at a concentration of as low as 2 microM in both media. High anisotropy values were obtained for Rh800 in plasma and blood using steady-state and anisotropy decay measurements, implying the tight binding of this probe to the contents of these media. This binding can be exploited to monitor the concentrations of different blood components using already existing or new red-emitting probes that will be specially designed to bind to these components with high specificity. To test this possibility of direct measurements in blood, we used Rh800 to monitor albumin in the presence of red blood cells. Increase in the polarization of Rh800 as the concentration of albumin was increased in the presence of the red cells showed the feasibility of such measurements.     

Oxygen equilibria of hybrid-heme hemoglobins containing proto- and mesoheme groups. On the nonequivalence of alpha and beta chains.

Hybrid-heme hemoglobins, alpha(meso)2beta(proto)2 and alpha(proto)2beta(meso)2, were prepared, and the O2 equilibria of their alpha and beta chains were measured separately at the isosbestic points of the partner chains at different pH values and in the presence and absence of inositol hexaphosphate. The Adair equation was extended to distinguish between the O2 saturations of the alpha and beta chains, and the seven equilibrium parameters were obtained by curve fitting to those equations. The results showed that the beta chains have an affinity slightly higher than the alpha chains in the binding of the first O2 molecule. For the second O2 molecule, the molecular species that has been oxygenated on the alpha chain has a higher affinity than that carrying O2 on the beta chain. The slopes of the Hill plots were higher for the alpha chain. The O2 saturation curves for the alpha and beta chains were calculated from the parameters averaged for the hybrids alpha(meso)2beta(proto)2 and alpha(proto)2beta(meso)2 in order to cancel the effects of the heme replacement. The curves showed that the difference in O2 saturation between the two kinds of chains depends on the conditions and on the degree of O2 saturation. It was concluded that the functional difference between the chains is small enough so that it is not required to modify the models already accepted for the cooperativity of hemoglobin.     

Quantitation of cytosolic [Ca2+] in whole perfused rat hearts using Indo-1 fluorometry.

Fluorometric determination of cytosolic calcium, [Ca2+]c, using Indo-1 in intact tissue, is limited by problems in obtaining calibration parameters for Indo-1 in vivo. Therefore, the goal of this study was to calibrate Indo-1 using in vitro constants, obtained from protein-containing reference solutions designed to produce similar Indo-1 spectral properties to those in vivo. Due to wavelength-dependent tissue light absorbance, the in vitro constants had to be absorbance-corrected using a novel method. The correction factor was calculated from the relationship between the Indo-1 fluorescence intensities at the two detection wavelengths. A mixture of proteins at approximately 28 mg/ml had a similar Indo-1 isosbestic wavelength (430 nm) to that found in vivo (427 nm), and a similar fluorescence ratio maximum with saturating Ca2+ to that found in vivo (after absorbance correction). Using calibration constants from this protein mixture, calculated [Ca2+]c in a Langendorf perfused rat heart was 187 nM during diastole, and 464 nM in systole. This new calibration method circumvented the considerable experimental problems of previous methods which required measurements with the cytosol fully depleted and fully saturated with Ca2+.     

Wavelength‐Modulated Differential Photoacoustic Spectroscopy (WM‐DPAS) for noninvasive early cancer detection and tissue hypoxia monitoring

This study introduces a novel noninvasive differential photoacoustic method, Wavelength Modulated Differential Photoacoustic Spectroscopy (WM‐DPAS), for noninvasive early cancer detection and continuous hypoxia monitoring through ultrasensitive measurements of hemoglobin oxygenation levels (StO₂). Unlike conventional photoacoustic spectroscopy, WM‐DPAS measures simultaneously two signals induced from square‐wave modulated laser beams at two different wavelengths where the absorption difference between maximum deoxy‐ and oxy‐hemoglobin is 680 nm, and minimum (zero) 808 nm (the isosbestic point). The two‐wavelength measurement efficiently suppresses background, greatly enhances the signal to noise ratio and thus enables WM‐DPAS to detect very small changes in total hemoglobin concentration (C_Hb) and oxygenation levels, thereby identifying pre‐malignant tumors before they are anatomically apparent. The non‐invasive nature also makes WM‐DPAS the best candidate for ICU bedside hypoxia monitoring in stroke patients. Sensitivity tunability is another special feature of the technology: WM‐DPAS can be tuned for different applications such as quick cancer screening and accurate StO₂ quantification by selecting a pair of parameters, signal amplitude ratio and phase shift. The WM‐DPAS theory has been validated with sheep blood phantom measurements.

Sensitivity comparison between conventional single‐ended signal and differential signal.     

Crystal structure and ligand binding properties of the truncated hemoglobin from Geobacillus stearothermophilus

A novel truncated hemoglobin has been identified in the thermophilic bacterium Geobacillus stearothermophilus (Gs-trHb). The protein has been expressed in Escherichia coli, the 3D crystal structure (at 1.5 Angstroms resolution) and the ligand binding properties have been determined. The distal heme pocket displays an array of hydrogen bonding donors to the iron-bound ligands, including Tyr-B10 on one side of the heme pocket and Trp-G8 indole nitrogen on the opposite side. At variance with the highly similar Bacillus subtilis hemoglobin, Gs-trHb is dimeric both in the crystal and in solution and displays several unique structural properties. In the crystal cell, the iron-bound ligand is not homogeneously distributed within each distal site such that oxygen and an acetate anion can be resolved with relative occupancies of 50% each. Accordingly, equilibrium titrations of the oxygenated derivative in solution with acetate anion yield a partially saturated ferric acetate adduct. Moreover, the asymmetric unit contains two subunits and sedimentation velocity ultracentrifugation data confirm that the protein is dimeric.