Internal motions of actin characterized by quasielastic neutron scattering

Quasielastic neutron scattering (QENS) experiments were carried out on powders of F-actin and G-actin hydrated with D₂O to characterize the internal dynamics on the picosecond time scale and the Ångstrom length scale. To investigate the effects of hydration, the measurements were done on samples at hydration ratio (h) of 0.4 (mg D₂O/mg protein), containing only the first layer of hydration water, and at h = 1.0, containing more layers of water. The QENS spectra, obtained from the measurements at two energy resolutions of 110 and 15 μeV, indicated that the internal motions of both F-actin and G-actin have distributions of motions with distinct correlation times and amplitudes. Increasing hydration changes relative populations of these distinct motions. The effects of hydration were shown to be different between F-actin and G-actin. Elastic incoherent neutron scattering measurements provided the concerted results. The observed effects were interpreted in terms of the dynamical heterogeneity of the actin molecule: in G-actin, more surface loops become flexible and undergo diffusive motions of large amplitudes, whereas in F-actin the molecular interactions that keep the polymerized state suppress the large motions of the surface loops involved with polymerization so that the population of atoms undergoing large motions can increase only to a lesser degree.     

Effect of hydration upon the thermal stability of tropocollagen and its dependence on the presence of neutral salts

The endotherm enthalpy changes ΔH_D and temperatures T_D of thermal denaturation of tropocollagen fibers were measured by DSC calorimetry as functions of water content. The denaturation temperatures decrease with increasing water content. The enthalpy change values increase sharply in the range 0–28% of water content, where a maximum of 14.3 cal g^?1 is reached. The effect of water uptake on the enthalpy term is explained by water bridge formation within the collagen triple helix. Evidence is given for the existence of approximately three intercatenary water bridges per triplet at the enthalpy maximum, their H-bond energy amounting to approximately 4000 kcal/mol of protein. In the 30–60% range of water content, ΔH_D decreases by 2 cal^?1 probably due to interactions between secondary water structures and the stabilizing intrahelical water bonds. The influence of two neutral potassium salts, with a structure-stabilizing and a structure-breaking anion (F^? and I^?), on the hydration dependence of ΔH_D and T_D was also studied. It was shown that the primary hydration is not influenced by these ions, but that T_D and ΔH_D are altered in an ion specific way in the presence of interface and bulk water. Hydrophobic interactions do not explain the experimental results. A reaction mechanism of the effects of ions upon the structural stability of collagen is proposed and discussed in terms of interactions of the medium water molecules with the intrahelical water bonds, and in terms of proton-donor/proton-acceptor equilibria between peptide groups, hydrated ions, and intrahelical water molecules.     

Myosin-induced volume increase of the hyper-mobile water surrounding actin filaments

Microwave dielectric spectroscopy can measure the rotational mobility of water molecules that hydrate proteins and the hydration-shell volume. Using this technique, we have recently shown that apart from typical hydrating water molecules with lowered mobility there are other water molecules around the actin filaments (F-actin) which have a much higher mobility than that of bulk water [Biophys. J. 85 (2003) 3154]. We report here that the volume of this water component (hyper-mobile water) markedly increases without significant change of the volume of the ordinary hydration shell when the myosin motor-domain (S1, myosin subfragment-1) binds to F-actin. No hyper-mobile component was found in the hydration shell of S1 itself. The present results strongly suggest that the solvent space around S1 bound to F-actin is diffusionally asymmetric, which supports our model of force generation by actomyosin proposed previously [op. cit.].     

Intramolecular and overall motion of proline: the influence of viscosity on carbon-13 spin-lattice relaxation times.

Nuclear magnetic resonance of ¹³C is used to probe the overall and internal motions of proline. Spin-lattice relaxation times (T₁) are reported for proline monomer dissolved in water/glycerol mixtures. Rates of overall molecular motion and internal motion depend on solvent composition but to different degrees. The effective correlation times (τ_eff) of the various proton-bearing carbon atoms in proline vary linearly as a function of solvent composition (%v/v) rather than of solution viscosity. The effective correlation time for molecular motion (τ_eff) is separated into contributions from overall molecular motion (τ_mol) and internal motion (τ_int). The γ-carbon of proline shows the smallest dependence of τ_int on solvent composition. The data indicate a high degree of intramolecular motion for the γ-carbon of proline. Inclusion of anisotropic molecular reorientation in the data analysis was found not to affect the above conclusions. The observed values of τ_eff indicate that the rotational diffusion model of molecular reorientations should apply to proline. The values of τ_eff calculated for proline using the Stokes-Einstein relation are larger than those observed; the discrepancy is discussed in terms of solvent-solute interactions.     

Kinetics of polymerization of deoxyhemoglobin S and mixtures of hemoglobin A and hemoglobin S at high hemoglobin concentrations

Transverse water proton relaxation times (T₂) have been measured as a function of time after deoxygenation of solutions containing hemoglobin S. The shortened T₂ values observed upon deoxygenation of hemoglobin S result from an increase in the correlation time (τ_c) of the water fraction irrotationally bound to deoxyhemoglobin S as it polymerizes. Therefore, the change in τ_c as a function of time after deoxygenation can be used to measure the rate of polymer formation. The change in τ_c observed is reasonably fit by the first-order equation τ = τ₀ (1 ? e^?kt) + τ_oxy. At a total hemoglobin concentration of approximately 300 mg/ml, the pseudo-first-order rate constant in a heterozygous AS sample is 25 times slower than in a homozygous S sample, k = 0.019 and 0.47 s^?1, respectively. Since the transit time for an erythrocyte in vivo is approximately 15 s, these results suggest that the heterozygous A/S erythrocyte would traverse the circulation and become reoxygenated before extensive polymerization and, therefore, cell sickling could occur. For the homozygous S/S erythrocyte, there is ample time for polymerization and for cell sickling during circulation.     

Nuclear magnetic resonance relaxation times and plasmalemma water exchange in ivy bark

Measurement of nuclear magnetic resonance (NMR) relaxation times (transverse [T₂] and longitudinal [T₁]) for Hedera helix L. cv. Thorndale (ivy) bark water indicates the presence of at least two populations of water with different relaxation characteristics. One population of water with short T₂ and T₁ was found to be composed of both hydration water and extracellular free water. The second population of water with long T₂ and T₁ was identified as intracellular bulk water.     

A deuteron and proton magnetic resonance relaxation study of beta-lactoglobulin a association: some approaches to the Scatchard hydration of globular proteins

A general expression for the concentration-dependent relaxation increment, $\text{(}\text{dR}\text{dc}\text{)}{}_{\mathrm{\mu }}$, (where R may be R₁, the spin-lattice, or R₂, the spin-spin relaxation rate of water), has been derived from multicomponent theory for a protein in salt solution. Emphasis is placed on the addition of salt to the aqueous protein to minimize potentially high virial effects due to charge repulsion or to the charge fluctuations predicted by the Kirkwood-Shumaker theory; under conditions where the protein has a high net charge-to-mass ratio the calculation of relaxation increments must employ protein activities in place of concentrations. This treatment was applied to the molecular states of β-lactoglobulin A under associating and nonassociating conditions. In contrast to data in the literature obtained in the absence of salt, where correlation times τ_c were excessively high and hydration values too low, here values of τ_c from ²H NMR were in quantitative agreement with those expected from parameters of the known structural states of this protein. With these values, hydrations were obtained by three different ways of calculating the relaxation rate of the bound water from ¹H and ²H NMR data. Preferential hydrations, derived from linked functions, for the association of the protein at pH 4.65 were obtained from sedimentation velocity measurements. Combination of the results from the temperature dependence of the deuteron NMR and the linked functions, on the basis of a three-state model, yields slow-tumbling hydration values and correlation times comparable to those obtained from the two-state model. Based on either an isotropic bound-water mechanism or an anisotropic orientational distribution of the water molecules, enthalpies of hydration determined from the three-state model are in accord with those calculated from the two-state model.     

Intracellular water in Artemia cysts (brine shrimp): Investigations by deuterium and oxygen-17 nuclear magnetic resonance

The dormant cysts of Artemia undergo cycles of hydration-dehydration without losing viability. Therefore, Artemia cysts serve as an excellent intact cellular system for studying the dynamics of water-protein interactions as a function of hydration. Deuterium spin-lattice (T₁) and spin-spin (T₂) relaxation times of water in cysts hydrated with D₂O have been measured for hydrations between 1.5 and 0.1 g of D₂O per gram of dry solids. When the relaxation rates (I/T₁, I/T₂) of ²H and ¹⁷O are plotted as a function of the reciprocal of hydration (1/H), an abrupt change in slope is observed near 0.6 g of D₂O (or H₂ ¹⁷O)/gram of dry solids, the hydration at which conventional metabolism is activated in this system. The results have been discussed in terms of the two-site and multisite exchange models for the water-protein interaction as well as protein dynamics models. The ²H and ¹⁷O relaxation rates as a function of hydration show striking similarities to those observed for anisotropic motion of water molecules in protein crystals.

It is suggested here that although the simple two-site exchange model or n-site exchange model could be used to explain our data at high hydration levels, such models are not adequate at low hydration levels (<0.6 g H₂O/g) where several complex interactions between water and proteins play a predominant role in the relaxation of water nuclei. We further suggest that the abrupt change in the slope of I/T₁ as a function of hydration in the vicinity of 0.6 g H₂O/g is due to a change in water-protein interactions resulting from a variation in the dynamics of protein motion.

     

Molecular states in single-stranded adenylate chains by relaxation analysis

The single-strand helix-coil transition in various oligo- and polyadenylates is characterized by means of an improved cable temperature-jump technique. In all the polymers studied {poly(rA), poly(dA), poly[A(m^2′)] and poly[A(e^2′)]} helix-coil relaxation is observed in the time range from 30 to 1000 nsec. Relaxation-time constants observed at wavelengths λ<280 nm (τ_α) are different from those found at λ >280 nm (τβ), indicating the presence of more than two conformational states. The time constants τ_α increase in the series poly(dA), poly[A(m^2′)], constants τ_β/τ_α is approximately 2.5, except in poly(dA) where τ_β/τ_α ≈ 9. Relaxation measurements with r(A)_n- oligomers show a decrease in conformational mobility with increasing chain length. The relaxation curves also demonstrate that “internal” residues have lower reaction rates than residues at the ends of the oligomer chain. Measurement in D₂O reveal a solvent isotope effect for τ_α of +87% for poly(rA), and of +53% for poly(dA), whereas no isotope effect is found in τ_β. The absence of “slow” relaxation processes in the model compound 9,9′ -trimethylenebisadenine shows that the relatively low rate of the single-strand helix-coil transitions is due to the coupling of base stacking with the folding of the sugar–phosphate chain. The absence of a seprate relaxation process (corresponding to τ_β) in 9,9′-trimethylenebisadenine, as well as in the dinucleotides ApC and CpA, suggests that this relaxation process is dependent upon the presence of both the sugar–phosphate chain and of adjacent adenine bases. The experimental data provide evidence that there is more than one ordered conformation in various single-stranded oligo- and polyadenylates and that the transition between these conformations is influenced by the sugar conformation.     

Dielectric studies on water in solutions of purified lecithin vesicles

The complex permittivity of sonicated aqueous solutions of purified dimyristoylphosphatidylcholine has been measured as a function of frequency between 3 kHz and 40 GHz. The dielectric spectrum of the samples shows two dispersion/absorption regions, one centered at about 80 MHz the other at about 20.GHz (30°C). Otherwise than in previous studies no additional dispersion/absorption process has been found at frequencies below 10 MHz.The complex dielectric spectrum of the samples is discussed with respect to the dynamical state of solvent water in solutions of single-bilayer vesicles. The main relaxation time of the solvent water, τ₁ ((2πτ₁)^?1 ≈ 20 GHz), is smaller than that of pure water, τ_W, at the same temperature. This effect results from the action of internal depolarizing fields which obviously overcompensate and enhancement of τ₁ due to specific solute/solvent interactions (hydration) as had been previously found with micellar solutions of lysolecithins.It cannot be excluded, that some solvent water shows unusual dynamical behaviour. If there exists a substantial amount of such motionally perturbed water, however, it must be characterized by a relaxation time close to that of the phosphorylcholine zwitterions, τ₂ ((2πτ₂)^?1 ≈ 80 MHz).     

Intrinsic proton relaxation parameters of hydrated polyglycine from two‐dimensional time domain NMR

Proton two‐dimensional time domain nmr involving T₁, T_1ρ, T_1D, and T₂ measurements was applied to hydrated polyglycine powders. The results were analyzed for magnetization exchange and found to be consistent with a general three‐site (glycine–water–glycine) exchange model. The intrinsic glycine and water proton relaxation parameters as well as the three exchange rates were obtained. Estimates of correlation times for water molecule motion at hydration sites are presented. © 1999 John Wiley & Sons, Inc. Biopoly 50: 630–640, 1999     

NMR study on molecular mobility of DNA molecules in solution

The molecular mobility of calf thymus DNA molecules in solution has been discussed in terms of correlation time τ calculated from measurements of longitudinal T₁ and transverse T₂ magnetic relaxation times. The influence of DNA concentration and ionic strength of the solution upon freedom of movement of DNA molecules was studied for native and denatured DNA and also during thermal helix-coil transition. The dependence of τ values on temperature was carried out by comparing the values of correlation times τ_tat given temperature with the correlation time τ₂₀ at 20°C. The molecular rotation of DNA at 20°C and at higher ionic strength at 0.15 and 1.0.M NaCl is described by τ values of the order of 1.0–1.2 × 10^?8 and was reduced slightly with increase of temperature below the helix-coil transition. The molecular rotation of DNA in 0.02MNaCl was lower at 20°C as compared to DNA in solvents with higher NaCl concentrations and increases rapidly with increase of temperature in the range 20–60°C. The values of correlation time are characterized by fast increase at temperatures above the spectrophotometrically determined beginning of melting curve. The beginning of this increase is observed at about 65, 80, and 85°C for DNA in 0.02, 0.15, and 1.0MNaCl, respectively. Values of correlation time for denatured DNA are in all cases about 1.1–1.4 times that for native DNA. The obtained results are discussed in terms of conformation of DNA molecules in solution as well as in terms of water dipole binding in DNA hydration shells.     

Overexpression of Na+-HCO3– cotransporter contributes to the exacerbation of cardiac remodeling in mice with myocardial infarction by increasing intracellular calcium overload

The role of the cardiac isoform of the electrogenic sodium-bicarbonate ion cotransporter (NBCe1) in cardiac remodeling is not fully understood. The aim of this study was to assess the effects of NBCe1 overexpression on cardiac remodeling induced by myocardial infarction (MI) in mice. We generated NBCe1 transgenic (Tg) mice and NBCe1 overexpressing adult mouse ventricular myocytes (AMVMs) to investigate the role of NBCe1 on post-MI remodeling and calcium kinetics. Tg mice showed a markedly higher mortality rate and larger infarct size after MI. At 6 weeks after MI, the maximum rising rates of left ventricular pressure (dp/dt), contractility index, and the exponential time constant of relaxation (τ) were markedly lower, and there was higher cardiomyocyte apoptosis, in Tg mice compared with WT mice. In cultured AMVMs, overexpression of NBCe1 decreased sarcomere shortening and calcium amplitude. In WT AMVMs, the rates of the rise and decay phase of calcium transients, indicated by the rising time (T_peak, time to peak) and decay time constant (τ_d), and the number of apoptotic cells, were increased following hypoxia, while overexpression of NBCe1 further increased T_peak and cellular apoptosis, but not τ_d. Intracellular resting calcium and sodium concentrations were significantly increased following both hypoxia and NBCe1 overexpression. Co-treatment with S0859, an NBCe1 antagonist, blocked the hypoxia-induced increase in T_peak, τ_d, intracellular resting calcium and sodium concentrations, and apoptosis in cardiomyocytes. These findings indicate that NBCe1 overexpression promotes cardiac remodeling by increasing intracellular calcium overload. Therefore, NBCe1 should be a potential target for treatment of cardiac remodeling.     

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.     

The effect of solvent viscosity and temperature on DNA viscoelastic behavior

The effect of solvent viscosity (η_s) and temperature (T) on the shape of the concentration dependence of the principal and total recoils in creep-recovery viscoelastometry experiments has been studied for T4 DNA solutions. The range of DNA concentration (c) was 2 – 40 μg/ml; glycerol, 70–80% v/v, sucrose, 60% v/v; NaCl, 5 mM – 1M; and T, 275 – 323 K. A linear proportionality between recoil and c was obtained at high η_s/T. At low η_s/T, the c-dependence was nonlinear, approaching saturation at higher c. At low c, the slope of both curves was the same. Transition between “linear” and “nonlinear” values occurred over a narrow range of η_s/T (a width of 1–5 K if η_s/T was changed by varying T). (η_s/T)_tr, the midpoint of the transition, was independent of solvent properties other than viscosity. Also, (η_s/T)_tr increased with c. For a given c, η_s/T values above this transitional value yield linear behavior; below this, nonlinear behavior. The ratio of linear to nonlinear recoil values is a linear function of c with K_c, the slope of this dependence, independent of η_s and T. A kinetic model for the observed nonlinearity of recoil with c is presented. It explains the independence of K_c on η_s and T. An attempt has been made to explain the linear–nonlinear transitions by comparison of τ₁ and T_R, the lifetime of the contact points of the polymer network in the de Gennes theory. The nonlinear values are consistent with a pseudogel that exists when τ₁ < T_R. At τ₁ > T_R, the DNA behavior is similar to that in dilute solutions (linear values). Thus, the condition for transition is τ₁ = T_R. However, some unsolved problems remain.     

A critical evaluation of models for complex molecular dynamics: application of NMR studies of double- and single-stranded DNA

The nature of internal and overall motions in native (double-stranded) and denatured (single-stranded) DNA fragments 120–160 base pairs (bp) long is examined by molecular-dynamics modeling using ¹³C-nmr spin-relaxation data obtained over the frequency range of 37–125 MHz. The broad range of ¹³C frequencies is required to differentiate among various models. Relatively narrow linewidths, large nuclear Overhauser enhancements (NOEs), and short T₁ values all vary significantly with frequency and indicate the presence of rapid, restricted internal motions on the nanosecond time scale. For double-stranded DNA monomer fragments (147 bp, 24 Å diam at 32°C), the overall motion is that of an axially symmetric cylinder (τ_x = ～10^?6 s;τ_Z = ～1.8 × 10^?8s), which is in good agreement with values calculated from hydrodynamic theory (τ_x = ～1.8 × 10^?6 s; τ_Z = ～2.7 × 10^?8 s). The DNA internal motion can be modeled as restricted amplitude internal diffusion of individual C? H vectors of deoxyribose methine carbons C1′, C3′, and C4′, either with conic boundary conditions (τ_w = ～4 × 10^?9 s, θ_cone = ～21°) or as a bistable jump (τ_A = τ_B = ～2 × 10^?9 s, θ = ～15°). We discuss the critical role in molecular-dynamics modeling played by the angle (β) that individual C? H vectors make with the long axis of the DNA helix. Heat denaturation brings about increases in both the rate and amplitude of the internal motion (described by the wobble model with τ_W = ～0.2 × 10^?9 s, θ_cone = ～50°), and overall motion is affected by becoming essentially isotropic (τ_x = τ_Z = ～5 × 10^?8 s) for the single-stranded molecules. Since ¹³C-nmr data obtained at various DNA concentrations for C2′ of the deoxyribose ring is not described well by the above models, a new model incorporating an additional internal motion is proposed to take into account the rapid, extensive, and weakly coupled motion of C2′.     

Effect of laser irradiation on microviscosity of aqueous medium in imbibing maize seeds as studied with a spin probe method

A spin probe method was used to study microviscosity of aqueous medium in embryos and endosperm of maize (Zea mays L.) seeds after their irradiation with a Lvov-1 Elektronika laser device. Based on parameters of electron spin resonance (ESR) spectra of nitroxyl radicals (probes) absorbed by imbibing seeds during water uptake, correlation times τ_C were determined for the rotational diffusion of probes in embryos and endosperm of seeds. The τ_C values were found smaller in embryos of irradiated seeds than in untreated seeds; the dependence of τ_C on the duration of seed imbibition was determined. It is concluded that laser irradiation of seeds decreases the microviscosity of aqueous medium in embryo cells and elevates the mobility of the probes. Effect of laser irradiation on τ_C in seed endosperm was less pronounced but also led to the increase in probe mobility.     

Water Mobility and Distribution in Green Coffee Probed by Time-Domain Nuclear Magnetic Resonance

Water distribution in green coffee was studied by means of pulsed nuclear magnetic resonance (NMR). Hydration experiments for relaxometry measurements were performed by adding either H₂O or D₂O to dried green coffee beans up to 35% (dry basis) or, alternatively, by moisture absorption in a controlled humidity environment. The CPMG experimental relaxation decay curves were acquired using a benchtop time-domain NMR analyzer at each hydration level and as a function of time. All NMR data were fitted according to the Laplace inversion approach to obtain the proton mobility distributions of water in the hydrated beans. By comparing the T ₂ relaxograms of the hydrated beans with the ones observed in the untreated raw beans, it was found that up to ??10% water exhibits a rather restricted proton mobility. Hydration experiments carried out with D₂O highlighted the contribution of the chemical exchange between the water protons and those of the solid matrix to the overall NMR signal. A possible interpretation of the data in terms of the antiplasticizer and plasticizer effect of water is offered.     

Characterisation of germinating and non-germinating wheat seeds by nuclear magnetic resonance (NMR) spectroscopy

Experiments were conducted to characterise the changes, especially of water status in germinating and non-germinating wheat seeds by nuclear magnetic resonance (NMR) spectroscopy. NMR relaxation time (T₂) measurements showed tri-phasic or bi-phasic characteristics during different stages of hydration, depending on the seed's ability to germinate. Component analysis of T₂ data revealed the existence of only two components, bound and bulk water, in dry seeds. In contrast, both the germinating and non-germinating wheat seeds had a three-component water proton system (bound, bulk and free water) in phase I of hydration. During the lag phase (phase II) of hydration, bulk water component of non-germinating seeds disappeared completely, resulting in a two component water proton system. Nevertheless, the three component water proton system was observed in the germinating seeds in phase II. Following phase II, rapid hydration (phase III) was observed in germinating seeds only. Water protons were re-organised and there were increases in bulk and free water but decreases in bound water concomitantly. Comparison of the physical state of water in these seeds by NMR spectroscopy with that of tissue leachate conductivity measurement suggests that the seed membrane system was affected more evidently in non-germinating seeds, leading to the disorganised cell structure. The present study provides evidence that the reorganisation of physical state of water in germinating wheat seeds during hydration is essential for its subsequent event of germination.     

The state of water in biological systems as studied by proton and deuterium relaxation

Careful experiments on the measurement of the intensity of the deuterium NMR signal for ²H₂O in muscle and in its distillate were performed, and they showed that all ²H₂O in muscles is “NMR visible.”The spin-lattice relaxation time (T₁) of the water protons in the muscle and liver of mice and in egg white has been studied at six frequencies ranging from 4.5 to 6.0 MHz over the temperature range of +37 to −70°C. T₁ values of deuterons in ²H₂O of gastrocnemius muscle and liver of mice have been measured at three frequencies (4.5, 9.21 and 15.35 MHz) over the temperature range of +37 to −20°C. Calculations on T₁ for both proton and deuteron have been made and compared with the experimental data. It is suggested that the reduction of the T₁ values compared to pure water and the frequency dependence of T₁ are due to water molecules in the hydration layer of the macromolecules, and that the bulk of water molecules in the biological tissues and egg white undergoes relaxation like ordinary liquid water.