Influence of transition metal ions on NMR proton T1 relaxation times of serum, blood, and red cells

The spin-lattice relaxation rates (1/T1) of serum, whole blood, and red cells were measured vs several concentrations of transition metal ions. For comparative purposes, the similar experiments were repeated in water. The rates show a linear dependence on concentration of each ion for water, but nearly a linear dependence for blood and its constituents. The influence of each ion on 1/T1 in a sample was expressed by the slope (relaxivity) of the least-squares fitting of 1/T1 vs ion concentration. The relaxivities of Mn(II) in serum and of Fe(III) in serum and blood are greater than those in water, whereas the relaxivities of these ions in the other cases and of all the other ions in call cases are smaller than those in water. However, the relaxivity data show that Cr(III) in serum and blood affects the 1/T1 rates. The ratio of relaxivity of each sample to that of water is known as proton relaxation enhancement (PRR) factor (epsilon). The epsilon factors for present data suggest that the added ions are bound to proteins, and only Mn(II) in serum and Fe(III) in blood and serum are accessible to water.     

1H and 31P relaxation rate studies of the interaction of phosphoenolpyruvate and its analogues with avian phosphoenolpyruvate carboxykinase

The interactions of the substrate phosphoenolpyruvate and the substrate analogues (Z)-phosphoenol-alpha-ketobutyrate and (E)-phosphoenol-alpha-ketobutyrate with the enzyme-Mn complex of chicken liver phosphoenolpyruvate carboxykinase have been investigated by 1H and by 31P nuclear relaxation rate studies. Studies of the 1H and the 31P relaxation rates of the ligands in the binary Mn-ligand complexes show that these ligands interact with the metal ion via the phosphate group but not through the carboxylate. An inner sphere coordination complex is formed but the metal-ligand complex is not in the most extended conformation. In the relaxation rate studies of the ligands in the presence of the enzyme, conditions were adjusted so that all of the Mn2+ that was added resided in the ternary enzyme-Mn-ligand complex. The 1H relaxation rates for each of the three ligands were measured at 100 and at 300 MHz. In each case the normalized paramagnetic effects showed that 1/(pT2p) was greater than 1/(pT1p). A frequency dependence of the 1/(pT1p) and 1/(pT2p) values was also measured. The correlation time, tau c, for the Mn-1H interaction was calculated from the frequency dependence of 1/(pT1p) assuming a maximal frequency dependence of tau c and assuming no frequency dependence of tau c and from the T1M/T2M ratios at each frequency. The tau c values for all of the complexes, calculated at 100 MHz, varied from approximately 0.3 to 2.0 ns. These values were used to calculate the Mn-1H distances in each of the ternary complexes. The relaxation rates of 31P were also measured.(ABSTRACT TRUNCATED AT 250 WORDS)     

Phosphorus-31 relaxation rate studies of Mn 2+-alkaline phosphatase

Phosphorus-31 NMR relaxation rates for the ternary complex of manganese-alkaline phosphatase-phosphate have been measured and their temperature dependence studied. The exchange of phosphate into the complex is exchange limited with respect to the transverse relaxation rate but is fast with respect to longitudinal relaxation. The data show that the observed phosphate relaxation is an outer-sphere effect. The activation energy for phosphate exchange is E_a = 8 Kcal/mole as determined from the temperature dependence of the line width of the phosphorus resonance.     

NMR studies of BPTI aggregation by using paramagnetic relaxation reagents

Paramagnetic probes, whose approach to proteins can be monitored by nuclear magnetic resonance (NMR) studies, have been found of primary relevance for investigating protein surfaces accessibility. Here, paramagnetic probes are also suggested for a systematic investigation on protein aggregation. Bovine pancreatic trypsin inhibitor (BPTI) was used as a model system for aggregation by analyzing its interaction with TEMPOL and Gd(III)DTPA-BMA. Some of the measured paramagnetic relaxation rates of BPTI protons exhibited a reverse dependence on protein concentration, which can be attributed to the formation of transient BPTI aggregates.     

Cross correlations between 13C-1H dipolar interactions and 15N chemical shift anisotropy in nucleic acids

Two sets of cross-correlated relaxation rates involving chemical shift anisotropy and dipolar interactions have been measured in an RNA kissing complex. In one case, both the CSA and dipolar interaction tensors are located on the same nucleotide base and are rigidly fixed with respect to each other. In the other case, the CSA tensor is located on the nucleotide base whereas the dipolar interaction is located on the adjoining ribose unit. Analysis of the measured rates in terms of isotropic or anisotropic rotational diffusion has been carried out for both cases. A marked difference between the two models is observed for the cross-correlation rates involving rigidly fixed spin interactions. The influence of internal motions about the glycosidic linkage between the nucleotide base and the ribose unit on cross-correlated relaxation rates has been estimated by applying a model of restricted rotational diffusion. Local motions seem to have a more pronounced effect on cross-correlated relaxation rates when the two spin interactions are not rigidly fixed with respect to each other.     

Relaxation studies of enzymes: concentration and pH dependence of isomerization phenomena.

Equations have been developed for the relaxation times for a variety of mechanisms involving enzyme isomerization coupled to proton transfers. The concentration and pH dependences of the relaxation time have been calculated and graphed for a number of representative mechanisms. We find that for most of the mechanisms examined, the relaxation time is not only pH but also strongly concentration dependent. The concentration dependence results from finite perturbations of the hydrogen ion concentration. For the systems tested, the relaxation time shows a clear concentration dependence at enzyme concentrations below 200 microM.     

Temperature and requency dependence of solvent proton relaxation rates in solutions of manganese(II) carbonic anhydrase.

Longitudinal and transverse proton relaxation rates of water in solutions of manganese(II) bovine carbonic anhydrase have been measured by pulsed nuclear magnetic resonance spectrometry as a function of temperature (2-35 degrees), frequently (5-100 MHz) and pH. The pH dependence of the longitudinal relaxation rate was fitted to a sigmoidal curve with a pK value at 7.8, while the esterase activity of the manganese(II) enzyme in the hydrolysis of p-nitrophenyl acetate revealed an inflection point at pK = 8.2. The hydration number of manganese(II) carbonic anhydrase could be derived using either the frequency dependence of T1p or the T1p/T2p ratio at only one (high) frequency. Both treatments are in agreement with a model in which one water molecule is bound to the metal at high pH. At low pH the relaxation data imply that no-H20 exists in the first coordination sphere of the manganese ion. The various parameters which are responsible for the proton relaxation mechanisms have been evaluated and are compared to other manganese(II) enzyme systems. The pH dependence of the binding constant of manganese to apocarbonic anhydrase is also reported.     

Phosphorus-31 studies on lecithin in ethanol solutions

³¹P relaxation times of lecithin in ethanol solutions have been measured in dependence on temperature and water concentration. Trial calculations have been carried out on the assumption of a 2-site exchange model. The results suggest first, the relaxation behaviour is determined by various motional and exchange processes; second, at 29 MHz the dipole-dipole interaction between ³¹P and protons provides the dominant contribution; third, in general we are not concerned with the case of “extreme narrowing”. Moreover, there are no negligible intermolecular contributions to relaxation.     

Kinetics of denaturation of DNA

The kinetics of denaturation of DNA have been studied by relaxation techniques. Examination of the terminal relaxation times for a variety of DNA's under a variety of conditions has shown that DNA denaturation is principally a hydrodynamically limited process. Measurements within the helix–coil transition have demonstrated that the experimentally measured terminal relaxation times are a function of the following: (1) position in the helix–coil transition; (2) ionic strength of the solvent; (3) solvent viscosity; (4) DNA concentration; (5) molecular weight; (6) number and position of single-strand breaks. The dependence of the terminal relaxation time on the above mentioned factors can be attributed to hydrodynamic effects. Thus a hydrodynamic model for DNA unwinding is required. The model which best fits the data involves the assumption of a rotational frictional coefficient independent of molecular weight. This assumption is suggested by the fact that the relaxation time is proportional to the first power of the molecular weight.     

Magnetic cross-relaxation among protons in protein solutions.

The magnetic spin-lattice relaxation rates of solvent water nuclei are known to increase upon addition of diamagnetic solute protein. This enhancement of the relaxation rate is a function of magnetic field, and the orientational relaxation time of the protein molecules can be deduced from analysis of the field-dependent relaxation rates. Although the nature of the interactions that convey information about the dynamics of protein motion to the solvent molecules is not established, it is known that there is a contribution to the relaxation rates of solvent protons that plays no role in the relaxation of solvent deuterons and 17O nuclei. We show here that the additional interaction arises from a cross-relaxation process between solvent and solute protons. We introduce a heuristic three-parameter model in which protein protons and solvent protons are considered as two separate thermodynamic systems that interact across the protein-solvent interface. The three parameters are the intrinsic relaxation rates of each system and a cross-relaxation term. The sign of the latter term must always be positive, for all values of magnetic field, in order for magnetization energy to flow from the hotter to the cooler system. We find that the magnetic field-dependence of the cross-relaxation contribution is much like that of the remaining solvent proton relaxation, i.e., about the same as the deuteron relaxation field dependence. This finding is not compatible with the predictions of expressions for the cross-relaxation that have been used by other authors, but not applied to data over a wide range of magnetic field strength. The model predicts that the relaxation behavior of both the protein protons and the solvent protons is the sum of two exponentials, the relative contributions of which would vary with protein concentration and solvent isotopic composition in a fashion suggestive of the presence of two classes of protein protons, when there is in reality only one. This finding has immediate implications for the interpretation of published proton relaxation rates in complex systems such as tissues; these data should be reexamined with cross-relaxation taken into account.     

Hydration of nucleic bases in dilute aqueous solutions. Apparent molar adiabatic and isothermal compressibilities, apparent molar volumes and their temperature slopes at 25 degrees C

The concentration increment of the ultrasound velocity has been measured with an accuracy of +/- 0.03 cm/s in dilute aqueous solutions of a variety of nucleic bases and their derivatives in the concentration range 0.5-1.5 mg/g H2O at temperatures of 15-35 degrees C. A new method for the precise measurement of ultrasound velocity in small volumes of liquids has been used. The values of the apparent molar adiabatic compressibilities plus the corresponding temperature slopes, apparent molar volumes with their temperature slopes, and apparent molar isothermal compressibilities at infinite dilution have been obtained. The regularities describing the signs of these values and their dependence on the chemical structure of the solute have been revealed. It is shown that these regularities can be described as a consequence of partial 'normalization' of some of the properties of water around the bases, namely, weaker structural contribution to compressibility, less negative temperature slope of compressibility and less negative structural contribution to the coefficient of thermal expansion of water.     

Nuclear magnetic relaxation of 23Na and 7Li ions in polyphosphate solutions.

Nuclear magnetic relaxation rates of ²³Na and ⁷Li have been measured in aqueous polyphosphate solutions. The Li⁺-polyion interaction is shown to be qualitatively different from the Na⁺-polyion interaction. This is concluded from the relaxation studies on Li-polyphosphate/Na-polyphosphate mixtures and from the dependence of the relaxation rates on the polymer-charge.     

1H NMR study of the base-pairing reactions of d(GGAATTCC): salt and polyamine effects on the imino proton exchange

Salts and polyamines have a variety of effects on the physical properties of DNA, including stabilization against thermal melting. We wished to gain greater insight into the mechanism of this stabilization by ascertaining its effect on the dynamics of base opening and closing reactions, as measured by NMR. Since the binding of spermidine(3+) is influenced by salt, and since spermidine may act as a base catalyst in proton exchange reactions, we have undertaken a study of salt and base catalyst effects on the imino proton exchange kinetics of a model oligomeric DNA. The selective longitudinal NMR relaxation rates of the hydrogen-bonded imino protons of the self-complementary octadeoxyribonucleotide d(GGAATTCC) monitor the rate of the base-catalyzed chemical exchange of these protons with solvent water. The exchange rates thus obtained provide a sensitive measure of the base-pair opening reactions of the DNA duplex. Under conditions of low pH and no added base catalyst, the NMR relaxation rates allow the determination of kd, the rate constant for the dissociation of the octameric duplex into single strands. Titration with the base catalyst tris(hydroxymethyl)aminomethane allows the determination of kop, the rate constant for the localized opening of individual base pairs, prior to dissociation. A significant Na+ concentration dependence is found for kd. From an analysis of this dependence, it is determined that 0.6 +/- 0.1 sodium ion is released during the dissociation event. The activation energy for helix dissociation (200 +/- 5 kJ/mol) is not dependent on the sodium ion concentration, indicating that the dissociation is entropically driven by the release of bound sodium ions.(ABSTRACT TRUNCATED AT 250 WORDS)     

Characterization of Phospholipid Mixed Micelles by Translational Diffusion

The concentration dependence of the translational self diffusion rate, D (s), has been measured for a range of micelle and mixed micelle systems. Use of bipolar gradient pulse pairs in the longitudinal eddy current delay experiment minimizes NOE attenuation and is found critical for optimizing sensitivity of the translational diffusion measurement of macromolecules and aggregates. For low volume fractions Phi (Phi\\ le 15% v/v) of the micelles, experimental measurement of the concentration dependence, combined with use of the D (s)= D (o)(1-3.2lambdaPhi) relationship, yields the hydrodynamic volume. For proteins, the hydrodynamic volume, derived from D (s) at infinitely dilute concentration, is found to be about 2.6 times the unhydrated molecular volume. Using the data collected for hen egg white lysozyme as a reference, diffusion data for dihexanoyl phosphatidylcholine (DHPC) micelles indicate approximately 27 molecules per micelle, and a critical micelle concentration of 14 mM. Differences in translational diffusion rates for detergent and long chain phospholipids in mixed micelles are attributed to rapid exchange between free and micelle-bound detergent. This difference permits determination of the free detergent concentration, which, for a high detergent to long chain phospholipid molar ratio, is found to depend strongly on this ratio. The hydrodynamic volume of DHPC/POPC bicelles, loaded with an M2 channel peptide homolog, derived from translational diffusion, predicts a rotational correlation time that slightly exceeds the value obtained from peptide (15)N relaxation data.     

Dielectric relaxation in lecithin/cholesterol/water-mixtures

The dielectric spectrum of aqueous solutions of dimyristoyl-l-3-phosphatidylcholine and dipalmitoyl-l-3-phosphatidylcholine with admixed cholesterol has been determined by means of a pulse reflection method which was used to measure the complex permittivity of the solutions as a function of frequency between 100 kHz and 50 MHz. Measurements have been performed at various concentrations of cholesterol in dependence of temperature around the crystal-line/liquid-crystalline phase transition temperature of the solutions.The measured dielectric spectra are treated in terms of a Debye-function. The dielectric relaxation strength and the relaxation time decrease distinctly with increasing cholesterol concentration. In addition, the data are treated on the basis of a theoretical solution model in order to allow for conclusions concerning the lecithin head group motion in the lipid bilayer surface. One important result is that increasing cholesterol concentration affects the interaction of the lecithin head groups and increases their mobility. These effects already occur at small concentrations of cholesterol.     

Quantitative characterization of the concentration-dependent interaction between molecules of Dextran 70 in aqueous solution: Measurement and analysis in the context of thermodynamic and compressible sphere models

The static light scattering and sedimentation equilibrium of solutions of Dextran 70 were measured as functions of concentration up to 100 g/L in pH 7.4 phosphate-buffered saline at temperatures between 5 and 37 °C. The concentration dependence of scattering intensity and the apparent molar mass obtained from sedimentation equilibrium were found to be nearly independent of temperature over this range to within the uncertainty of measurement. Global analysis of the concentration dependence of both properties yielded a reliable estimate of the concentration-dependent thermodynamic activity coefficient, a quantitative measure of the free energy of self-interaction. The self-interaction between Dextran molecules is compared with that of a globular protein (BSA) and a highly crosslinked polymer of similar molar mass (Ficoll 70). The observed concentration dependence of the free energy of Dextran self-interaction may be quantitatively accounted for by a semi-empirical model in which the polymer molecule is represented by a compressible sphere.     

31P and 1H NMR studies of the structure of enzyme-bound substrate complexes of lobster muscle arginine kinase: relaxation measurements with Mn(II) and Co(II)

The paramagnetic effects of Mn(II) and Co(II) on the spin-lattice relaxation rates of 31P nuclei of ATP and ADP and of Mn(II) on the spin-lattice relaxation rate of the delta protons of arginine bound to arginine kinase from lobster tail muscle have been measured. Temperature variation of 31P relaxation rates in E.MnADP and E.MnATP yields activation energies (delta E) in the range 6-10 kcal/mol. Thus, the 31P relaxation rates in these complexes are exchange limited and cannot provide structural information. However, the relaxation rates in E.CoADP and E.CoATP exhibit frequency dependence and delta E values in the range 1-2 kcal/mol; i.e., these rates depend upon 31P-Co(II) distances. These distances were calculated to be in the range 3.2-4.5 A, appropriate for direct coordination between Co(II) and the phosphoryl groups. The paramagnetic effect of Mn(II) on the 1H spin-lattice relaxation rate of the delta protons of arginine in the E.MnADP.Arg complex was also measured at three frequencies (viz., 200, 300, and 470 MHz). These 1H experiments were performed in the presence of sufficient excess of arginine to be observable over the protein background but with MnADP exclusively in the enzyme-bound form so that the enhancement in the relaxation rates of the delta protons of arginine arises entirely from the enzyme-bound complex. Both the observed frequency dependence of these rates and the delta E less than or equal to 1.0 +/- 0.3 kcal/mol indicate that this rate depends on the 1H-Mn(II) distances.(ABSTRACT TRUNCATED AT 250 WORDS)     

31P NMR relaxation studies of the activation of the coenzyme phosphate of glycogen phosphorylase. The role of motion of the bound phosphate.

Spin-lattice and spin-spin relaxation rates (1/T1 and 1/T2) have been determined for the catalytically essential coenzyme phosphate at the active site of glycogen phosphorylase in both activated (R state) and inactive (T state) conformations of the enzyme. Dipolar contributions to 31P relaxation due to exchangeable protons on the phosphate group have been determined by measurement of relaxation rates at different concentrations of H2O and D2O, and field dependence studies have been performed to estimate the contribution of chemical shift anisotropy to the remaining 31P relaxation in D2O. At 109 MHz, dipolar relaxation from exchangeable protons was found to account for 50% of the spin-lattice relaxation for activated phosphorylase in 75% H2O, the remainder being due to chemical shift anisotropy. The spin-lattice relaxation rates in D2O for R-state glycogen phosphorylase are very similar to those measured for other proteins of very different size such as actin (Brauer, M., and B. D. Sykes, 1981, Biochemistry. 20:6767-6775), alkaline phosphatase (Coleman, J. E., I. D. Armitage, J. F. Chlebowski, J. D. Otvos, and A. J. M. S. Uiterkamp, 1979), and phosphoglucomutase (Rhyu, G. I., W. J. Ray, Jr., and J. L. Markley, 1984, Biochemistry. 23:252-260). In inactive (T state) phosphorylase the spin-lattice relaxation rates were almost an order of magnitude slower, while the spin-spin relaxation rates were essentially identical. These results have been analyzed by calculating the theoretically expected 31P relaxation rates in the presence of internal motions that are included in the relaxation calculation using the model-free approach of Lipari and Szabo (1982, J. Am. Chem. Soc. 104:4564-4559).(ABSTRACT TRUNCATED AT 250 WORDS)     

NMR relaxation of protein and water protons in diamagnetic hemoglobin solutions

We have measured T1 and T2 of protein and water protons in hemoglobin solutions using broad-line pulse techniques; selective excitation and detection methods enabled the intrinsic protein and water relaxation rates, as well as the spin-transfer rate between them, to be obtained at 5, 10, and 20 MHz. Water and protein T1 data were also obtained at 100 and 200 MHz for hemoglobin in H2O/D2O mixtures by using commercial Fourier-transform instruments. The T1 data conform to a simple model of two well-mixed spin systems with single intrinsic relaxation times and an average spin-transfer rate, with each phase recovering from a radio-frequency excitation with a biexponential time dependence. At low frequencies, protein T1 and T2 agree reasonably with a model of dipolar relaxation of an array of fixed protons tumbling in solution, explicitly calculating methyl and methylene relaxation and using a continuum approximation for the others. Differing values in H2O and D2O are mainly ascribed to solvent viscosity. For water-proton relaxation, T1, T2, and spin transfer were measured for H2O and HDO, which enabled a separation of inter-and intramolecular contributions to relaxation. Despite such detail, few firm conclusions could be reached about hydration water. But it seems clear that few long-lived hydration sites are needed to explain T1 and T2, and the spin-transfer value mandates fewer than five sites with a lifetime longer than 10(-8) s.     

Calculation of NMR relaxation, covolume, and scattering-related properties of bead models using the SOLPRO computer program

The hydrodynamic properties of macromolecules and bioparticles, represented by bead models, can be calculated using methods implemented in the computer routine HYDRO. Recently, a new computer routine, SOLPRO, has been presented for the calculation of various SOLution PROperties. These include (1) time-dependent electro-optic and spectroscopic properties related to rotational diffusion, (2) non-dynamic properties like scattering curves, and (3) dimensionless quantities that combine two or more solution properties in a form which depends on the shape of the macromolecule but not on its size. In the present work we describe the inclusion of more of those types of properties in a new version of SOLPRO. Particularly, we describe the calculation of relaxation rates in nuclear magnetic resonance (NMR). For dipolar coupling, given the direction of the dipole the program calculates values of the spectral density, from which the NMR relaxation times can be obtained. We also consider scattering-related properties, namely the distribution of distances for the bead model, which is directly related to the angular dependence of scattered intensity, and the particle's longest distance. We have devised and programmed a procedure to calculate the covolume of the bead model, related to the second virial coefficient and, in general, to the concentration dependence of solution properties. Various shape-dependent dimensionless quantities involving the covolume are calculated. In this paper we also discuss some aspects, namely bead overlapping and hydration, that are not explicitely included in SOLPRO, but should be considered by the user. Received: 25 May 1998 / Revised version: 30 July 1998 / Accepted: 30 July 1998