Pulsed nuclear magnetic resonance studies on 23 Na, 7 Li and 35 Cl binding to human oxy- and carbon monoxyhaemoglobin

Pulsed nuclear magnetic resonance studies of the longitudinal (T₁) and transverse (T₂) quadrupolar relaxation times of ⁷Li, ²³Na, ³⁵Cl ions in the absence and presence of human oxy- and carbon monoxyhaemoglobin have been used to investigate the interaction of the ions and the macromolecule.The relaxation data show that Cl^? interacts strongly with the haemoglobin but provide no evidence for binding of Na⁺ up to concentrations of 0.5 m. In the case of Li⁺, evidence for interaction is obtained at concentrations of about 0.1 m.The dependence of relaxation rate on frequency was followed over a limited frequency range in an attempt to separate the effects of correlation times and exchange rates of the bonded ions on the relaxation. In the case of Cl^?, an upper limit for the mean lifetime divided by the number of sites can be set at about 1 × 10^?6 second, and a lower limit at about 1 × 10^?8 second.     

Hemoglobin-water interactions in normal and sickle erythrocytes by proton magnetic resonance T1ϱ measurements

The dependence of the water proton magnetic resonance spin-lattice relaxation rate (T_1?^?1) in the rotating frame on the strength of the spin-locking (H₁) field has been investigated for packed oxy and deoxy normal and sickle erythrocytes at temperatures from 9 to 40 °C. The T_1?^?1 of oxy or deoxy normal erythrocytes shows no dependence on H₁ up to ~7 G at any temperature studied. On the other hand, T_1?^?1 decreases from about 40 s^?1 to 15 s^?1 (H₁ from 0 to ~7 G) for deoxygenated packed sickle cells at 40 °C. The magnitude of this variation of T_1?^?1 with H₁ decreases with decreasing temperature. Oxy packed sickle cells also show a dependence of T_1?^?1 on H₁ but the magnitude is <10% of that of the deoxygenated samples. These results suggest that water proton T_1?^?1 measurements are a sensitive probe of hemoglobin S polymerization and provide a novel technique for the study of slow water motions in these systems. The T_1?^?1 results are compared with low frequency T₁^?1 results of other investigators on hemoglobin S solutions. Analysis of the data suggests that water proton motions with correlation times of the order of 10^?5 s are present in the deoxygenated sickle cell samples at temperatures above 10 °C.     

Molecular mobilities of soluble components in the aqueous phase of chromaffin granules

NMR relaxation times have been used to characterize molecular motion and intermolecular complexes in the aqueous phase of bovine chromaffin granules. Partially relaxed ¹³C and proton spectra have been obtained at 3 and 25°C. T₁ measurements of five protonated carbons on epinephrine (C₂, C₅, C₆ CHOH and NCH₃) give a correlation time of 0.15 (10^?9) s at 25°C for the catechol ring and methine carbon, while the effective correlation time for the NCH₃ group is somewhat shorter due to its internal degree of rotational freedom. Resonances of protonated carbons on the soluble protein chromogranin give very similar corerlation times: 0.20 (10^?9) s for the peptide α-carbon and 0.2 (10^?9) s for the methylene sidechain carbons of glutamic acid. The correlation time (τ_R) of ATP was not measured direrctly using ¹³C T₁ data due to the weakness of its spectrum, but its reorinetation appears to be substantially slower than that of epinephrine or chromogranin. This conclusion is based on three observations: (1) the qualitative temperature dependence of T₁ for H₂ and H₈ on the adenine ring places τ_R for ATP to the right of the T₁ minimum, or τ_R ? 1.0 (10^?9) s; (2) ¹³C resonances of ATP have anomalously low amplitudes compared with epinphrine resonances, a fact that is readily explained only if ATP undergoes substantially slower reorientation; and (3) a comparision of the T₁ data on H₈ on chromaffin granules and in a dilute aqueous solution, where ρ_R for ATP cam be measured directly, indicates that τ_R ～ 1.0 (10^?9 s at 25°C in the granules. The relaxation data are consistent with the concept of a storage complex based on electrostatic interaction between a polyion (chromogranin) and its counterious (ATP and epinephrine), in which ATP cross-links cationic sidechains of the protein.     

The conformation of oxytocin in dimethylsulfoxide as revealed by carbon-13 spin-lattice relaxation times

Information was obtained on rates of overall molecular reorientation and segmental motion of amino acid sidechains of oxytocin in dimethylsulfoxide by determination of spin-lattice relaxation times (T₁) at 25 MHz for carbon-13 in natural abundance in the hormone. The T₁ values of the α-carbons of amino acid residues located in the 20-membered ring of oxytocin are all about 50 msec. The overall correlation time for the hormone backbone was estimated to be 8.8 × 10^?10 sec. The sidechains of Tyr, Ile and Gln undergo segmental motion with respect to the backbone of the ring. The T₁ value of the α-carbon of the Leu residue is greater than for any α-carbon in the ring, indicating an increased mobility of the backbone of the C-terminal acyclic peptide as compared to the ring. The β- and γ-carbons of the Pro residue undergo an exo-endo interconversion with regard to the plane formed by α-carbon, δ-carbon and N atom of the Pro pyrollidine ring. These data are discussed in light of results from other experimental and theoretical studies, including carbon-13 spin-lattice relaxation times for oxytocin in aqueous solution.     

The use of 13C spin lattice relaxation times to study the interaction of alpha-methyl-D-glucopyranoside with concanavalin A

The spin lattice relaxation rates ($\text{1}\text{T}{}_1$) of the natural abundance ¹³C of all seven carbons of α-methyl-d-glucopyranoside were measured in the presence of Mn(II)-concanavalin A. The paramagnetic contribution to the relaxation rates was used to calculate the distance between the Mn(II) site and the saccharide. The results are consistent with the binding of the saccharide in a unique configuration on the surface of the protein with the ?CH₂OH (6 carbon) ~9Å, the ?CH₃ (7 carbon) 14Å, and carbons 1–5 about 10Å from the Mn(II). Notwithstanding the fact that these distances may be 10% or less in error, these data are in disagreement with a value of greater than 10Å between the saccharide and Mn(II) binding sites determined from X-ray diffraction studies by Edelman et al. ((1972) Proc. Nat. Acad. Sci. USA69, 2580–2584) and Hardman and Ainsworth ((1972) Biochemistry11, 4910–4919).     

Conformational and kinetic features of the morphine-Mn(II) interaction as probed by nuclear paramagnetic resonance investigations

The nature of binding between manganese ions and morphine was studied using Fourier transform proton nuclear magnetic resonance techniques. Proton relaxation times in the presence of Mn(II) ions were determined together with their temperature dependence. Slow exchange conditions were observed for the NCH₃ group, while fast exchange conditions applied for all the other protons. The rotational correlation time of the complex was approximated by that of the free morphine molecule, as measured by selective and nonselective proton relaxation rate measurements. The distances between the metal ion and proton nuclei of morphine were evaluated on the basis of an association constant, measured from water proton spin-lattice relaxation rate binding studies. The results indicate that the metal binds directly to the two oxydryls with K_ass = 9.7 × 10^?3.The rate constant for the interaction of Mn(II) with the opiate is 2.25 × 10⁴ sec^?1 at 27°C, as determined from the temperature dependence of longitudinal relaxation rate of the NCH₃ group.     

Proton nuclear magnetic resonance studies of the manganese (II) binding site of concanavalin A. Effect of saccharides on the solvent relaxation rates

The longitudinal relaxation rate ($\text{1}\text{T}{}_{\mathrm{<mtext>1</mtext><mtext>p</mtext>}}$) of water protons was studied in solutions of Mn(II)-concanavalin A at a number of frequencies. These relaxation rates were lowered in the presence of a variety of saccharides which have affinities for concanavalin A which range over two orders of magnitude. A good correlation was found in which saccharides which bind tightly have the greatest effect and saccharides which bind weakly or not at all have little effect on the $\text{1}\text{T}{}_{\mathrm{<mtext>1</mtext><mtext>p</mtext>}}$ values. The temperature dependence of the proton relaxation rates showed that the lowering of these rates in the presence of saccharides was most likely due to a change in the exchange rate of solvent interacting with protein-bound Mn(II), $\text{1}\text{T}{}_{\mathrm{<mtext>m</mtext>}}$.An analysis of the temperature and frequency dependence of the $\text{1}\text{T}{}_{\mathrm{<mtext>1</mtext><mtext>p</mtext>}}$ and $\text{1}\text{T}{}_{\mathrm{<mtext>2</mtext><mtext>p</mtext>}}$ (transverse) solvent proton relaxation rates resulted in evaluation of a number of parameters for solvent water molecules interacting in the first coordination sphere of Mn(II) bound to concanavalin A. The ratio of the number of water molecules (q) to the Mn(II)-proton distance (r) obtained from a computer fit of the data over a limited temperature range is in accord with the findings of Koenig et al. ((1973) Proc. Nat. Acad. Sci.70, 475) and Meirovitch and Kalb ((1973) Biochim. Biophys. Acta303, 258). However, our studies of $\text{1}\text{T}{}_{\mathrm{<mtext>1</mtext><mtext>p</mtext>}}$ and $\text{1}\text{T}{}_{\mathrm{<mtext>2</mtext><mtext>p</mtext>}}$ of water over a more extensive temperature range are best fit with the following conclusions: at low temperatures (<20 °C), the data are consistent with an outer-sphere relaxation process. At higher temperatures (> 30 °C), the water molecule in the inner coordination sphere of the bound Mn(II) begins exchanging more rapidly and contributes to the relaxation processes ($\text{1}\text{T}{}_{\mathrm{<mtext>1</mtext><mtext>p</mtext>}}$ and $\text{1}\text{T}{}_{\mathrm{<mtext>2</mtext><mtext>p</mtext>}}$). The relaxation time of protons in the inner coordination shell, T_1M, contributes over the entire temperature range and produces a frequency dependence in the relaxivity data from 6 to 100 MH_z since the contributions to the correlation times are in the range 10^?9-10^?8 sec.     

Solution and solid state behavior of Co2+, Ni2+ and Zn2+ tosylaminoacidate systems: Crystal and molecular structure of bis(N-tosylglycinato)tetraaquocobalt(II) and bis(N-tosyl-β-alaninato)tetraaquozinc(II) complexes

The interactions between N-tosylamino acids and cobalt(II), nickel(II) and zinc(II) ions in aqueous solution and in the solid state have been investigated. From concentrated aqueous solutions, compounds of general formula [M(II)(N-tosylaminoacidato)₂(H₂O)₄](M = Co(II), Ni(II) and N-tosylaminoacidato = N-tosylglycinate (Tsgly^?), N-tosyl-α- and -β-alaninate (Ts-α- and Ts-β-ala^?); M = Zn(II) and N-tosylaminoacidate = Tsgly^?, Ts-β-ala^?) and [Zn(II)(N- tosylaminoacidato)₂(H₂O)₂] were isolated and characterized by means of thermogravimetric, electronic and infrared spectra. For two of them: [Co(Tsgly)₂(H₂O)₄](I) and [Zn(Ts-β-ala)₂(H₂O)₄](II) the crystal and molecular structures were also determined. Both compounds crystallize in the monoclinic space group P2₁/c, with two formula units in a cell of dimensions: a = 13.007(6), b = 5.036(2), c = 18.925(7) Å, β = 102.33(3)° for (I) and a = 14.173(6), b = 5.469(2), c = 17.701(7) Å, β = 106.63(3)° for (II). The structures were solved by the heavy-atom method and refined by least-squares calculations to R = 0.031 and 0.064 for (I) and (II) respectively. The cobalt and zinc atoms lie in the centers of symmetry, each bonded to two amino- acid molecules through a carboxylic oxygen atom and four water molecules in a slightly tetragonally distorted octahedral geometry. The second carboxylic oxygen atom is not involved in metal coordination. Electronic and X ray-powder spectra suggest that the tetrahydrate complexes of Co²⁺, Ni²⁺ and Zn²⁺ ions of the same amino acids are isomorphous and isostructural. No coordinative interactions between ligand and metal ions were found in aqueous solution on varying the pH values before hydroxide precipitation.     

The lateral diffusion coefficient of lecithin molecules in single bilayer vesicles studied by 14N NMR

The ¹⁴N nuclear relaxation times T₁ and T₂ in egg yolk phosphatidylcholine have been observed in single bilayer vesicles dispersed in the media of different viscosities, ¹H₂O and ²H₂O. The lateral diffusion coefficient of lipid molecule D has been calculated according to the method reported earlier: D = 2.2 × 10^?8cm²s^?1 in ¹H₂O and 2.1 × 10^?8cm²s^?1 in ²H₂O at 20°C. They are in excellent agreement. This result gives a strong basis of usefulness of ¹⁴N NMR method in the evaluation of D without introducing any system perturbation.     

Protein Rotational Dynamics in Aligned Lipid Membranes Probed by Anisotropic T1ρ NMR Relaxation

A membrane-bound form of Pf1 coat protein reconstituted in magnetically aligned DMPC/DHPC bicelles was used as a molecular probe to quantify for the viscosity of the lipid membrane interior by measuring the uniaxial rotational diffusion coefficient of the protein. Orientationally dependent ¹⁵N NMR relaxation times in the rotating frame, or T_1ρ, were determined by fitting individually the decay of the resolved NMR peaks corresponding to the transmembrane helix of Pf1 coat protein as a function of the spin-lock time incorporated into the 2D SAMPI4 pulse sequence. The T_1ρ relaxation mechanism was modeled by uniaxial rotational diffusion on a cone, which yields a linear correlation with respect to the bond factor sin⁴θ_B, where θ_B is the angle that the NH bond forms with respect to the axis of rotation. Importantly, the bond factors can be independently measured from the dipolar couplings in the separated local-field SAMPI4 spectra. From this dependence, the value of the diffusion coefficient D_|| = 8.0 × 10⁵ s^?1 was inferred from linear regression of the experimental T_1ρ data even without any spectroscopic assignment. Alternatively, a close value of D_|| = 7.7 × 10⁵ s^?1 was obtained by fitting the T_1ρ relaxation data for the assigned NMR peaks of the transmembrane domain of Pf1 to a wavelike pattern as a function of residue number. The method illustrates the use of single-helix transmembrane peptides as molecular probes to assess the dynamic parameters of biological membranes by NMR relaxation in oriented lipid bilayers.     

Proton and phosphorus magnetic relaxation studies on the dynamic structure of single-stranded polyriboadenylic acid

Proton and phosphorus-31 nuclear spin-lattice relaxation times (T₁) have been measured with the Fourier-transform method at 100 and 40.5 MHz, respectively, on single-stranded polyriboadenylic acid (poly(A)) in a neutral D₂O solution in the temperature range of 14–82°C. T₁ minimum is observed around 35–45°C for H(8), H(1′), and phosphorus resonances. Rotational correlation times have been deduced from the T₁ data, which indicate that the sugar–phosphate backbone as well as the base–sugar segment is undergoing rapid internal motion of 10^?8–10^?10 sec range. The molecular motion of the sugar–phosphate backbone as deduced from the phosphorus relaxation is well-characterized by a single activation enthalpy of 8.1 kal/mole for the whole temperature range of 14–82°C. Activation enthalpies of similar magnitude have been obtained for the motion of the adenine–ribose moiety from H(8) and H(1′) relaxation. The relative magnitude of T₁ for H(8) and H(1′) infers that the poly(A) nucleotide exists on the average as anti in the single-stranded form. The phosphorus T₁ value is consistent with a conformation such that both C(4′)–C(5′) and C(4′)–C(3′) bonds are nearly trans to their connected O–P bonds.     

Dynamic Structure of Proteins in Solid State. 1H and 13C NMR Relaxation Study

Abstract

Temperature dependencies of ¹H non-selective NMR T₁ and T₂ relaxation times measured at two resonance frequencies and natural abundance ^l3C NMR relaxation times T_l and T_lr measured at room temperature have been studied in a set of dry and wet solid proteins—;Bacterial RNase, lysozyme and Bovine serum albumin (BSA). The proton and carbon data were interpreted in terms of a model supposing three kinds of internal motions in a protein. These are rotation of the methyl protons around the axis of symmetry of the methyl group, and fast and slow oscillations of all atoms. The correlation times of these motions in solid state are found around 10^?11, 10^?9 and 10^?6 s, respectively. All kinds of motion are characterized by the inhomogeneous distribution of the correlation times. The protein dehydration affects only the slow internal motion. The amplitude of the slow motion obtained from the carbon data is substantially less than that obtained from the proton data. This difference can be explained by taking into account different relative inter- and intra- chemical group contributions to the proton and carbon second moments. The comparison of the solid state and solution proton relaxation data showed that the internal protein dynamics in these states is different: the slow motion seems to be few orders of magnitude faster in solution.     

The calcium ion binding site in bovine chymotrypsin A

The effect of Gd³⁺ on the nuclear magnetic resonance (nmr) relaxation rates, T_1m^?1 and T_2m^?1, of inhibitor protons in metal-inhibitor-α-chymotrypsin ternary complexes has been measured. The Solomon-Bloembergen equations were used to calculate the distance from the methyl protons of p-toluamidine (a competitive inhibitor) to the Gd³⁺ binding site which is 9.2 ± 0.5 Å. Calcium ion and gadolinium ion compete for the same binding site on α-chymotrypsin. Distances from the specificity pocket of α-chymotrypsin to the metal binding site have been measured by fluorescence energy transfer experiments. By observing energy transfer between proflavine and Nd³⁺, Pr³⁺, or Ho³⁺, we have been able to calculate a distance of approximately 10 Å between the two chromophores. This agrees well with the data obtained by nmr techniques and also gives nearly identical values to those obtained for trypsin (Darnall, D., Abbott, F., Gomez, J. E., and Birnbaum, E. R., Biochemistry15, 5017, 1976). This is consistent with the calcium ion binding sites being composed of the same residues in both trypsin and α-chymotrypsin.     

Interspecific variation in thermoregulation among three sympatric bats inhabiting a hot, semi-arid environment

Bats in hot roosts experience some of the most thermally challenging environments of any endotherms, but little is known about how heat tolerance and evaporative cooling capacity vary among species. We investigated thermoregulation in three sympatric species (Nycteris thebaica, Taphozous mauritianus and Sauromys petrophilus) in a hot, semi-arid environment by measuring body temperature (T _b), metabolic rate and evaporative water loss (EWL) at air temperatures (T _a) of 10?C42?°C. S. petrophilus was highly heterothermic with no clear thermoneutral zone, and exhibited rapid increases in EWL at high T _a to a maximum of 23.7?±?7.4?mg?g^?1?h^?1 at T _a????42?°C, with a concomitant maximum T _b of 43.7?±?1.0?°C. T. mauritianus remained largely normothermic at T _as below thermoneutrality and increased EWL to 14.7?±?1.3?mg?g^?1?h^?1 at T _a????42?°C, with a maximum T _b of 42.9?±?1.6?°C. In N. thebaica, EWL began increasing at lower T _a than in either of the other species and reached a maximum of 18.6?±?2.1?mg?g^?1?h^?1 at T _a?=?39.4?°C, with comparatively high maximum T _b values of 45.0?±?0.9?°C. Under the conditions of our study, N. thebaica was considerably less heat tolerant than the other two species. Among seven species of bats for which data on T _b as well as roost temperatures in comparison to outside T _a are available, we found limited evidence for a correlation between overall heat tolerance and the extent to which roosts are buffered from high T _a.     

Theoretical study and rate constant calculations for the reactions of SiHX3 with CF3 and CH3 radicals (X = F, Cl)

Theoretical investigations were carried out on the multi-channel reactions CF₃ + SiHF₃, CF₃ + SiHCl₃, CH₃ + SiHF₃, and CH₃ + SiHCl₃. Electronic structures were calculated at the MP2/6-311+G(d,p) level, and energetic information further refined by the MC-QCISD (single-point) method. The rate constants for major reaction channels were calculated by the canonical variational transition state theory with small-curvature tunneling correction over the temperature range of 200–1,500 K. The theoretical rate constants were in good agreement with the available experimental data and were fitted to the three parameter expression: k _1a(T) = 2.93 × 10^?26 T ^4.25 exp (?318.68/T), and k _2a(T) = 3.67 × 10^?22 T ^2.72 exp (?1,414.22/T), k _3a (T) = 7.00 × 10^?24 T ^3.27 exp (?384.04/T), k _4a(T) = 6.35 × 10^?22 T ^2.59 exp (?603.18/T) (in unit of cm³molecule^?1s^?1) are given. Our calculations indicate that hydrogen abstraction channel is the major channel due to the smaller barrier height among four channels considered.

31P nmr spin-lattice relaxation studies of deoxyoligonucleotides

Temperature-dependent conformational transitions of deoxyoligonucleotides have been monitored by measuring ³¹P chemical shifts, spin-lattice relaxation times (T₁), and ³¹P-{H} nuclear Overhauser enhancements (NOEs). The measured NOE ranged from 30 to 80%, compared to the theoretical maximum of 124% for a dipolar relaxation mediated by rapid isotropic rotation. The observed 3′-5′ phosphate diester ³¹P T₁ showed a similar temperature dependence over the range 2–75°C for both double- and single-stranded oligonucleotides, and for dinucleotides. The results show that dipole–dipole interactions dominate the internucleotide phosphate relaxation rate in oligonucleotides. The same is true of terminal phosphate groups at low temperature; but at higher temperature another process, possibly due to contamination by paramagnetic ions, becomes dominant. The rotational correlation time τ_R calculated from the dipole–dipole relaxation rate of the internucleotide phosphate in d(pA)₂ at 16°C is τ_R = 5.0 × 10^?10 sec, implying a Stokes radius for isotropic rotation of 7.6 Å. The T₁ and NOE values for the double-helical octanucleotide d(pA)₃pGpC(pT)₃ are consistent with dominance of dipole–dipole relaxation and isotropic rotation of a sphere of radius 14 Å, a reasonable dimension for the double helix. Activation energies for the rotation of dinucleotides range from 4 to 6 kcal/mol, close to the value of 4 kcal/mol expected for isotropic rotation. In order to test the possible effect of internal motion of correlation time τ_G on the results, we considered a model in which the nucleotide chain rotates about the P-O bonds. Comparison of the calculation with our experimental results shows that internal motion with τ_G ? 10^?9 sec, as found from other studies to be present for large nucleic acids, would not influence out T₁ and NOE values enough to be distinguished from isotropic rotation. However, we can conclude that τ_G cannot be as fast as 10^?10 sec, even for dinucleotides.     

Protein Configurational States Guide Radical Rearrangement Catalysis in Ethanolamine Ammonia-Lyase

The adenosylcobalamin- (coenzyme B₁₂) dependent ethanolamine ammonia-lyase (EAL) plays a key role in aminoethanol metabolism, associated with microbiome homeostasis and Salmonella- and Escherichia coli-induced disease conditions in the human gut. To gain molecular insight into these processes toward development of potential therapeutic targets, reactions of the cryotrapped (S)-2-aminopropanol substrate radical EAL from Salmonella typhimurium are addressed over a temperature (T) range of 220–250 K by using T-step reaction initiation and time-resolved, full-spectrum electron paramagnetic resonance spectroscopy. The observed substrate radical reaction kinetics are characterized by two pairs of biexponential processes: native decay to diamagnetic products and growth of a non-native radical species and Co(II) in cobalamin. The multicomponent low-T kinetics are simulated by using a minimal model, in which the substrate-radical macrostate, S^?, is partitioned by a free-energy barrier into two sequential microstates: 1) S₁^?, a relatively high-entropy/high-enthalpy microstate with a protein configuration that captures the nascent substrate radical in the terminal step of radical-pair separation; and 2) S₂^?, a relatively low-enthalpy/low-entropy microstate with a protein configuration that enables the rearrangement reaction. The non-native, destructive reaction of S₁^? at T ≤ 250 K is caused by a prolonged lifetime in the substrate-radical capture state. Monotonic S^? decay over 278–300 K indicates that the free-energy barrier to S₁^? and S₂^? interconversion is latent at physiological T-values. Overall, the low-temperature studies reveal two protein-configuration microstates and connecting protein-configurational transitions that specialize the S^? macrostate for the dual functional roles of radical capture and rearrangement enabling. The identification of new, to our knowledge, intermediate states and specific protein-fluctuation contributions to the reaction coordinate represent an advance toward development of novel therapeutic targets in EAL.     

A pulsed N.M.R study of D2O bound to 1,2 dipalmitoyl phosphatidylcholine

Spin lattice relaxation times in both the lab and rotating frame, have been measured for deuterons (²H) in a number of unsonicated dispersions of 1,2 dipalmitoyl phosphatidylcholine in D₂O over a range of resonant frequencies from 13 MHz to 1 MHz for temperatures from ?20°C to 65°C.The proton (¹H) spin lattice relaxation time for the lecithin was measured for resonant frequencies of 8.5 MHz, and 40 MHz over a similar range of temperatures.The results agree with broadline measurements by Salsbury et al. [1], and for the liquid crystal phase are consistent with an anisotropic tumbling model of the water molecules bound to the lecithin headgroup. This tumbling occurs with correlation times of ≤10^?10 sec and ≈ 10^?6 sec about axes parallel to and perpendicular to the bisector of the D-O-D angle within a D₂O molecule, hydrogen bonded to the negatively charged phosphate headgroup.     

Evaluation of the water environments in deoxygenated sickle cells by longitudinal and transverse water proton relaxation rates

The longitudinal and transverse water proton relaxation rates of oxygenated and deoxygenated erythrocytes from both normal adults and individuals with sickle cell disease were measured as a function of temperature at two different frequencies. The simplest model which fits all of the data consists of three different environments for water molecules. The majority of the water (98%) has a correlation time indistinguishable from bulk water (3 × 10^?11 sec). Secondly, there is a small amount of water (1.3–1.5%) present which has a correlation time of 2–4 × 10 ^?9 sec and is apparently independent of the erythrocyte sample studied. Presumably this water is the hydration sphere around the hemoglobin molecules and its correlation time is significantly slower than bulk water. The third environment contains approximately 0.2% of the water present and has a correlation time≥ 10^?7 sec. This third environment is considered tightly bound to the hemoglobin because the water proton correlation time is very similar to the expected rotational correlation time for the hemoglobin molecules. The value of the transverse relaxation rate, f_b(T_2b)^?1, for the tightly bound water fraction decreases in oxy ($\text{S}\text{S}$), deoxy ($\text{A}\text{A}$), and oxy ($\text{A}\text{A}$) erythrocyte samples as the temperature is increased as expected for a rotational correlation time process. In dramatic contrast,f_b (T_2b)^?1 increases almost linearly as the temperature is increased over the whole 4 ° to 37 °C temperature range in samples of deoxy ($\text{S}\text{S}$) erythrocytes. The observation suggests a continual increase in the formation of deoxyhemoglobulin S polymers rather than a sudden transition from a homogeneous solution of deoxyhemoglobin S molecules to a solid gel.