Model calculations on the kinetics of oligonucleotide double helix coil transitions. Evidence for a fast chain sliding reaction

Relaxation data obtained previously for the double helix coil transition of oligoriboadenylates and oligoribouridylates are compared to the results of numerical calculations according to various models. In these models the helix coil transition is described by individual rate constants for the first steps of helix formation, whereas the rate constants of the following steps of helix chain growth are assumed to be uniform. The existence of various helix intermediates containing the same number of base pairs is accounted for by statistical factors. First a quasistationary treatment of a zipper model is used for an analysis of the influence of various model parameters. Then relaxation spectra are calculated including helix coil intermediates explicitly without any assumption of quasistationarity. The relaxation spectrum calculated for any chain length N comprises N—1 fast processes with time constants in the range of 0.1 to 0.5 μs and one slow process with a time constant τ depending upon the nucleotide concentration (τ is usually in the ms time range). The fast processes are associated mainly with the unzippering at helix ends and are usually characterized by relatively small amplitudes, whereas the slow process represents the overall helix coil transition usually characterized by a very large amplitude.Consideration of staggered helix series (where the different helix scries are coupled to each other by the single stranded state) leads to a spectrum of slow relaxation processes with one separate relaxation process for each helix series. It is shown that this “non-sliding” staggering zipper model is not consistent with the experimental results. The measured relaxation curves can be represented by single exponentials for nucleotide chain lengths 8 to 11 (within experimental accuracy). This is also true for conditions where several, clearly separated time constants should be expected according to the theoretical model. The experimental data suggest the existence of a direct coupling between different series of staggered helices by a chain sliding mechanism with a time constant < 1ms. Chain sliding may be explained by diffusion of helix defects along the double helix such as diffusion of small loops. A simple model calculation for the diffusion of a bulge loop assuming quasistationarity suggests a sliding time constant around 100 μs for a helix comprising 10 base pairs.Finally some thermodynamic and kinetic parameters are evaluated according to the “sliding” staggering zipper model: The negative activation enthalpy observed for helix recombination can he described using a series of nucleation parameters indicating reduced stability constants for the first three base pairs. Nucleation may usually be achieved with the formation of the third or fourth base pair depending upon the magnitude of the chain growth parameter. The rate constant of helix chain growth is around 10⁶ s^?1 at 0.05 M [Na⁺] and increases to about 4 × 10⁶ s^?1 at 0.17 M [Na⁺].     

Thermodynamic and kinetic parameters of an oligonucleotide hairpin helix

The thermodynamics of the hairpin helix-single strand transition of A₆C₆U₆ has been analyzed by a staggering zipper model with consideration of single strand stacking. This analysis yields an enthalpy change of +11 kcal/mole for the formation of a first, isolated base pair. The stability constant of a first (intramolecular) base pair in A₆C₆U₆ is around 2 × 1O^?5 at 25°C, whereas a first (intermoleciilar) base pair in an A₆ · U₆ helix is characterised by a stability constant of about 4 × 10^?3M^?1 (25°C, extrapolated from A_n · V_n oligomer measurements). These data indicate a destabilizing effect of the C₆ loop.The rate constant of hairpin helix formation is 2 to 3 × 10⁴ sec^?1 associated with an activation enthalpy of +2.5 kcal/mote. The rate of helix dissociation of the A₆C₆U₆ hairpin is in the range of 10³ to lO⁵ sec^?1 with an activation enthalpy of 21 $\text{kcal}\text{mole}$. A comparison with the kinetic parameters obtained for A · U oligomer helices shows a specific influence of the C₆ loop due to the stacking tendency of the cytosine residues. This intluence is preferentially reflected in the relatively low value of the rate constant of helix formation.     

Relaxation kinetics of the helix-coil transition of a self-complementary ribo-oligonucleotide: A7U7

Relaxation measurements on the kinetics of the double helix to coil transition for the self-complementary ribo-oligonucleotide A₇U₇ are reported over a concentration range of 6.9 μM to 19.6 μM in single strand in 1 M NaCl. The rate constants for helix formation are about 2 × 10⁶ M^?1 s^?1 and decrease with increasing temperature yielding an activation enthalpy of ?6 $\text{kcal}\text{mole}$. The rate constants for helix dissociation range from 3 to 250 s^?1 and increase with increasing temperature yielding an activation enthalpy of +45 $\text{kcal}\text{mole}$. The kinetic data reported here for 1 M NaCl is compared with previously published results obtained at lower salt concentrations. These data are discussed in terms of the quantitative effect of ionic strength on the kinetics of helix-coil transitions in oligo- and polynucleotides.     

Kinetics of monensin complexation with sodium ions by 23Na NMR spectroscopy

The kinetics of the sodium binding to the ionophore monensin (Mon) in methanol has been studied by ²³Na NMR spectroscopy. Fast quadrupole relaxation of the bound sodium affected the relaxation rate of the free sodium through an exchange process between these two species. The exchange was found to be dominated by the reaction: Na⁺ + Mon^? ? MonNa. The dissociation rate constant at 25°C is 63 s^?1, with an activation enthalpy of 10.3 $\text{kcal}\text{mol}$ and activation entropy of ?15.8 $\text{cal}\text{mol}$ deg. These results indicate that the specificity of the binding of sodium ions to monensin is reflected in the relatively slow dissociation process. The entropy changes indicate that the activated monensin-sodium complex undergoes a conformational change, but the existence of a conformational change in monensin anion prior to complexation is excluded.     

Dermatan sulfate and chondroitin 6-sulfate conformations

X-ray diffraction patterns show that dermatan sulfate in oriented, crystalline films occurs as two or three or eight-fold helices. The two-fold helix has a greater axial rise per disaccharide residue $\text{[}\text{h}\text{= 9.6}\text{A}\text{?}\text{]}$ than the corresponding chondroitin 6-sulfate helix $\text{[}\text{h}\text{= 9.3}\text{A}\text{?}\text{]}$. Three-fold dermatan sulfate and chondroitin 6-sulfate helices both have $\text{h}\text{= 9.5}\text{A}\text{?}$. Consequently the α-L-iduronate residues in dermatan sulfate helices have the C1 chair conformation like β-D-glucuronate in chondroitin 6-sulfate. Since the eight-fold dermatan sulfate helix has $\text{h}\text{= 9.3}\text{A}\text{?}$ rather less than the eight-fold chondroitin 6-sulfate helix $\text{[}\text{h}\text{= 9.8}\text{A}\text{?}\text{]}$ the possibility of α-L-iduronate 1C chairs cannot be ruled out for it. Computer methods have been used to produce molecular models. In these the polysaccharide chains are almost linear. Each backbone conformation can accommodate a variety of arrangements of charged side groups.     

Kinetics for exchange of imino protons in the d(C-G-C-G-A-A-T-T-C-G-C-G) double helix and in two similar helices that contain a G . T base pair, d(C-G-T-G-A-A-T-T-C-G-C-G), and an extra adenine, d(C-G-C-A-G-A-A-T-T-C-G-C-G)

The relaxation lifetimes of imino protons from individual base pairs were measured in (I) a perfect helix, d(C-G-C-G-A-A-T-T-C-G-C-G), (II) this helix with a G . C base pair replaced with a G . T base pair, d(C-G-T-G-A-A-T-T-C-G-C-G), and (III) the perfect helix with an extra adenine base in a mismatch, d(C-G-C-A-G-A-A-T-T-C-G-C-G). The lifetimes were measured by saturation recovery proton nuclear magnetic resonance experiments performed on the imino protons of these duplexes. The measured lifetimes of the imino protons were shown to correspond to chemical exchange lifetimes at higher temperatures and spin-lattice relaxation times at lower temperatures. Comparison of the lifetimes in these duplexes showed that the destabilizing effect of the G . T base pair in II affected the opening rate of only the nearest-neighbor base pairs. For helix III, the extra adenine affected the opening rates of all the base pairs in the helix and thus was a larger perturbation for opening of the base pairs than the G . T base pair. The temperature dependence of the exchange rates of the imino proton in the perfect helix gives values of 14-15 kcal/mol for activation energies of A . T imino protons. These relaxation rates were shown to correspond to exchange involving individual base pair opening in this helix, which means that one base-paired imino proton can exchange independent of the others. For the other two helices that contain perturbations, much larger activation energies for exchange of the imino protons were found, indicating that a cooperative transition involving exchange of at least several base pairs was the exchange mechanism of the imino protons. The effects of a perturbation in a helix on the exchange rates and the mechanisms for exchange of imino protons from oligonucleotide helices are discussed.     

Calorimetric investigations of the helix-coil conversion of phenylalaninespecific transfer ribonucleic acid

The enthalpy of the helix-coil conversion of phenylalaninespecific transfer ribonucleic acid from brewer's yeast (tRNA^Phe_{brewer's yeast}) has been measured using both an LKB 10700-2 batch miciocalorimeter and an adiabatic differential scanning calorimeter. In the mixing calorimeter the conversion from coil to helix was induced by mixing a tRNA^Phe solution with a solution containing an excess of MgSO₄. We measured the enthalpy of this reaction stepwise in the temperature range from +9 to +60° C. For the enthalpy of folding of tRNA^Phe from coil to helix this method yielded the remarkably high value of ?310 $\text{kcal}\text{mole}$ of tRNA^Phe. With the differential scanning calorimeter in which the helix-coil conversion is simply induced by raising the temperature we found a value of +240 $\text{kcal}\text{mole}$ of tRNA^Phe at a Tm value of 76° C and a value of +200 $\text{kcal}\text{mole}$ of tRNA^Phe at a T_m value of 50° C. A comparison of the apparent van't Hoff enthalpies with the calorimetrically measured enthalpies shows, that the cooperativity of the system increases continually with rising melting temperatures - which are achieved by increasing Mg²⁺ concentrations - reaching a constant value at about 57° C. Above this temperature value the thermodynamic behaviour of the helix-coil conversion of tRNA^Phe may be approximately described by the model of an all-or-none process.     

The effects of environmental factors on growth and the chemical and biochemical composition of marine diatoms. I. Light and temperature effects

Temperature and light interact to modify the chemical and biochemical composition of a nitrogen-limited marine diatom, Thalassiosira allenii Takano, grown at a constant dilution rate in continuous culture and under a light:dark cycle.The percent of the total ¹⁴C incorporated into protein, polysaccharide and lipid, the N/C ratio and the C/cell varied with temperature in a markedly non-linear manner. The N/cell was negatively correlated to temperature. The Chl $\text{a}\text{C}$ ratio was positively correlated with temperature under saturating light and non-saturating light for temperatures > 25 °C, but was constant under non-saturating light conditions for temperatures < 25 °C.Productivity index (PI) was negatively correlated to temperature under saturating light conditions, but did not vary under low light. In each case, the variation in PI with temperature was governed by the variation in Chl $\text{a}\text{C}$.The dark carbon loss rate was exponentially related to temperature and independent of light. Variation in the percent of the total ¹⁴C incorporated into protein and polysaccharide, the $\text{N}\text{C}$ ratio and C/cell was primarily due to the effects of N-limitation < 20 °C and primarily due to the effects of temperature > 20 °C. Variation in N/cell was primarily due to the effects of temperature over the entire range of temperature studied. Variation in Chl $\text{a}\text{C}$ was caused by the interaction of temperature and light effects.In most cases, temperature and nutrient effects interacted to govern how a particular parameter varied with temperature while light affected the range of values over which the parameter varied.The percent of the total ¹⁴C incorporated into protein exhibited a significant linear relationship with $\text{N}\text{C}$.The dark carbon loss rate, $\text{N}\text{C}$ ratio and Chl $\text{a}\text{C}$ ratio data were used to test the applicability of a model for the physiological adaptation of unicellular algae. The model, with parameters derived from a non-linear least-squares fit of the dark carbon loss rate data, adequately described the $\text{N}\text{C}$ ratio between 15 and 25 °C at 290 and 137 μE · m^?2 · s^?1, but failed to describe the data at 28 °C and at 48 μE · m^?2 · s^?1. The Chl $\text{a}\text{C}$ ratio was adequately described by the model under all light and temperature conditions.     

Thermodynamics of the interaction of daunomycin with DNA

The association constant for the interaction of daunomycin with DNA was determined as a function of temperature (using [³H] daunomycin in conventional equilibrium dialysis cells) and ionic strength (using a spectrophotometric titration method). The association constant varied between 3.1 × 10⁶ M^?1 (4°C) and 3.9 × 10⁵ M^?1 (65°C). The free energy change was ?8.2 to ?8.8 $\text{kcal}\text{mol}$, the enthalpy change ?5.3 $\text{kcal}\text{mol}$ and the entropy change +10 to +11 eu, all values being consistent with that expected of an intercalation process. The apparent number of intercalation sites detected (0.15 to 0.16 per nucleotide) was independent of temperature. The large positive entropy change accompanying the interaction appeals to be due to extensive release of water from the DNA and daunomycin. The apparent number of binding sites increased dramatically with decrease of ionic strength, although the apparent association constant remained largely unaffected by ionic strength.     

Cytochalasin B inhibition and temperature dependence of 3-O-methylglucose transport in fat cells

The transport of $\text{3-O-}\text{methylglucose}$ in white fat cells was measured under equilibrium exchange conditions at $\text{3-O-}\text{methylglucose}$ concentrations up to 50 mM with a previously described method (Vinten, J., Gliemann, J. and Østerlind, K. (1976) J. Biol. Chem. 251, 794–800). Under these conditions the main part of the transport was inhibitable by cytochalasin B. The inhibition was found to be of competitive type with an inhibition constant of about 2.5 · 10^?7 M, both in the absence and in the presence of insulin (1μM). The cytochalasin B-insensitive part of the $\text{3-O-}\text{methylglucose}$ permeability was about 2 · 10^?9 cm · s^?1, and was not affected by insulin. As calculated from the maximum transport capacity, the half saturation constant and the volume/ surface ratio, the maximum permeability of the fat cell membrane to $\text{3-O-}\text{methylglucose}$ at 37°C and in the presence of insulin was 4.3 · 10^?6 cm · s^?1. From the temperature dependence of the maximum transport capacity in the interval 18–37°C and in the presence of insulin, an Arrhenius activation energy of $\text{14.8 ± 0.44}\text{kcal/mol}$ was found. The corresponding value was $\text{13.9 ± 0.89}$ in the absence of insulin. The half saturating concentration of $\text{3-O-}\text{methylglucose}$ was about 6 mM in the temperature interval used, and it was not affected by insulin, although this hormone increased the maximum transport capacity about ten-fold to 1.7 mmol · s^?1 per 1 intracellular water at 37°C.     

Conformational change of the triple-helical structure. IV. Kinetics of the helix-folding of (Pro-Pro-Gly)n (n = 10, 12, and 15)

The kinetic curves of the helix-refolding of (PPG)_n (n = 10, 12, and 15) were analyzed with an all-or-none model. The Arrhenius plot of the overall rate constant of the helixfolding k_F showed a negative activation energy at high temperature. With the aid of a sequential model, it was concluded that the reason for the anomaly was the instability of short helices (shorter than seven helical units in a trimeric molecule), and/or the more rapid rates of helix-folding and helix-opening for shorter helices. The rate constant of the formation of one helical unit composed of three tripeptides at an end of a long helix was calculated to be 10^2–4 sec^?1. It was much smaller than that for other kinds of helices, such as an α helix (10¹⁰ sec^?1) or a double helix of nucleic acids (10^7–9sec^?1).     

Theory of friction-limited DNA unwinding

The theory of friction-limited DNA unwinding is developed explicitly for moderate tind large perturbations. This extension of the earlier theory of the relaxation kinetics is necessary because of the complex nature of the rate limitation for small perturbations. The assumption of the theory that is violated under relaxation conditions is that base pairing reactions occurring at a constant local degree of twist of the strands are fast compared to the net unwinding of the molecule. However, these reactions that are slow for small perturbations have a large activation energy, and become faster than friction-limited un winding for large enough temperature jumps and sufficiently large DXA molecules. Thus only the rate for moderate and large perturbations is clearly limited by frictional resistance to turning the molecule in solution. The model used is a diffusional unwinding of the two strands, driven by the accompanying decrease in free energy. For large perturbations a numerical solution of the diffusion equation is required, since the diffusion coefficient is not constant. Two new parameters must be introduced into the equilibrium statistical theory to describe friction-limited unwinding kinetics. These are the force constant b, for winding up coil regions and the frictional coefficient per base pair β_cfor rotating coil regions in solution. We find by fitting the theory to experiment that b = 1.8 × 10^?13 ergs/ rad²- and β_c = 3.5 × 10^?21 erg see/base pair, both for DNA melted in alkali at 0.4.M Na ⁺ and ～30 °C. The latter value is in agreement with predictions based on the viscosity of single stranded DNA in alkali. The quoted value of bcan be interpreted to mean that the number of conformational states of a nucleolide is reduced by an average factor of 1.55 when it is wound around another strand to the degree of twist in a double helix, but without forming a base pair.     

Pressure dependence of the helix-coil transition temperature for polynucleic acid helices

Thermal denaturation of DNA's and the corresponding helix–coil transformation of artificial polyribonucleic and polydeoxyribonucleic acids have been studied extensively both theoretically^1–13 and experimentally. ^14–30 Much less work has been carried out on the properties of these polynucleic acids at high pressure, and in particular, on the presure dependence of the helix–coil transition temperature.^31–33 Light-scattering techniques have been used in this study to measure the pressure dependence of the helix–coil transition temperature of the two- and three-stranded helices of polyriboadenylic and polyribouridilic acids and of calf thymus DNA. From the slopes of the transition temperature vs. pressure curves and heats of transition obtained from the literature,^20,34 the following volume changes from these helix–coil transitions have been obtained: (a) ?0.96 cc/mole of nucleotide base pairs for the poly (A + U) transition, (b) +0.35 cc/mole of nucleotide base trios for the poly (A + 2U) transition, and (c) +2.7 cc/mole of nucleotide base pairs for the DNA transition. The relative magnitudes and signs of these volume changes which show that poly (A + U) is destabilized by increased pressure, whereas poly (A + 2U) and calf thymus DNA are stabilized by increased pressure, indicates that further development of the helix–coil transition theory for polynucleotides is needed.     

Interactions of La3+ with phosphatidylserine vesicles Binding,phase transition,leakage, 31P-NMR and fusion

The interaction of La³⁺ with phosphatidylserine vesicles is studied by differential scanning calorimetry, ¹⁴⁰La binding, ³¹P-NMR chemical shifts and relaxation rates, carboxyfluorescein and [¹⁴C]sucrose release, X-ray diffraction and freeze-fracture electron microscopy. In the presence of La³⁺ concentrations above 1 mM and an incubation temperature of 38°C, i.e., at the phase transition temperature of the complex La/phosphatidylserine, the binding ratio of La/lipid exceeds a $\text{1}\text{3}$ ratio, reaching saturation at a $\text{1}\text{2}$ ratio. Analysis, employing a modified Gouy-Chapman equation, indicates a significant increase in the intrinsic binding constant of La/phosphatidylserine when the La³⁺ concentration exceeds the threshold concentration for leakage. The analysis illustrates that at the molecular level the binding of La³⁺ can be comparable to or even weaker than that of Ca²⁺, but that even when present at smaller concentrations La³⁺ competes with and partially displaces Ca²⁺ from membranes or other negatively charged surfaces. The results suggest that the sequence La³⁺>Ca²⁺>Mg²⁺ reflects both the binding strength of these cations to phosphatidylserine as well as their ability to induce leakage, enhancement of ³¹P spin-lattice relaxation rates, fusion and other structural changes. The leakage, fusion, and other structural changes are more pronounced at the phase transition temperature of the La/lipid complex.     

Synthesis and antitumor activity of 1-beta-D-arabinofuranosylcytosine conjugates of cortisol and cortisone.

Superior antitumor activity of 1-β-D-arabinofuranosylcytosine (ara-C) conjugates of prednisolone and prednisone against L1210 leukemic mice, based on ara-C content, has encouraged us to synthesize 5′-(cortisone-21-phosphoryl)-1-β-D-arabinofuranosylcytosine (I) and 5′-(cortisone-21-phosphoryl)-1-β-d-arabinofuranosylcytosine (II) by condensation of N⁴,2′,3′-triacetyl-1-β-d-arabinofuranosylcytosine 5′-monophosphate with cortisol and cortisone in the presence of N,N′-dicyclohexylcarbodiimide at room temperature followed by removing the acetyl groups in 2 N methanolic ammonia in 20% yield. The conjugates I and II inhibited the $\text{in}\text{vitro}$ growth of L1210 by 50% (ED₅₀) at 0.25 μM and 0.07 μM, respectively, while ara-C showed ED₅₀ 0.1 μM. However, the conjugates I and II exhibited 287% and 238% of $\text{T}\text{C}$ at 50 mg/kg/day × 5 doses against L1210 leukemic mice, respectively, while ara-C at 25 mg and 50 mg/kg/day × 5 gave the respective 127% and 110% of $\text{T}\text{C}$.     

Melting behaviour of a triple helical polysaccharide schizophyllan in aqueous solution

Two sonicated samples of schizophyllan in aqueous solution at temperatures from 20 to 160°C were investigated by viscometry. The temperature dependence of the viscosity coefficient η showed that schizophyllan in water undergoes an irreversible thermal transition at about 135°C. The values of $\text{(ln η}{}_{\mathrm{r}}\text{)}\text{c}$ (ηr is the relative viscosity and c is the polymer concentration (w/v)) at 25°C determined after preheating aqueous schizophyllan indicated that the major conformations of schizophyllan in water at 120 and 150°C are triple helix and single random coil, respectively. Thus, it was concluded that the change in η at about 135°C with an increase in temperature is due to the melting of triple helices to single chains. Schizophyllan denatured to single chains at about 150°C did not restore the intact triple helix, but formed aggregates, when the solution was cooled to 25°C. It was also found that the aggregates form a gel when c is higher than a certain value.     

Thermodynamic studies on synthetic lac operator core

The nine base pairs long central region of the $\text{lac}$ operator gene forms a stable double helix. A comparison of melting temperatures with other biologically useful oligonucleotides indicates the importance of specific base sequence. Binding constants measured with ethidium bromide (1.7 × 10⁵ M^?1), tyrosine (4.0 × 10³ M^?1), and glutamine (1.5 × 10³ M^?1), are interpreted in terms of the involvement of a relatively small number of amino acids in the $\text{lac}$ operator-repressor interaction.     

Equilibrium and kinetics of thermal unfolding of yeast 5.8S ribosomal RNA in aqueous salt solutions

Equilibrium and kinetics of thermal melting of yeast 5.8S ribosomal RNA in aqueous NaCl were investigated by differential thermal melting and temperature jump methods. Two peaks were observed in each of the melting curves at 1 mM-1 M Na⁺ and linearity between each melting temperature T_m and log[Na⁺] was found at [Na⁺> 10 mM. From the difference spectrum ratio, $\text{d}\text{A}{}_{280}\text{d}\text{A}{}_{260}$, the G-C content in the local structures was calculated to be 91 and 56%. The temperature jump to 70–85°C in aqueous 30 mM Na⁺ of the RNA solution induced first-order kinetics, from which the kinetically determined melting curve was calculated. The curve could be approximately described in a Gaussian form with a T_m which agrees well with the high T_m in the static melting curve at 30 mM Na⁺. The kinetic properties of the reaction indicated a double helix-coil transition. However, the temperature jump to 20–60°C did not induce monophasic kinetics. The kinetic amplitude of the slow component showed a T_m which corresponded to the low T_m in the static melting curve at 30 mM Na⁺. The slow relaxation had the characteristics of a double helix-to-coil transition. However, contributions from very fast processes including single strand unstacking, were most noticeable in the low temperature melting region of the static curve. The thermodynamic parameters of both transitions from double helix to coil were analysed in detail. Both activation energies for helix formation were negative, and the nucleation is thought to follow a process similar to that in oligonucleotides. Values of T_m and enthalpy change of both helix-coil transitions indicated the cloverleaf model as the most plausible one for some limited regions of yeast 5.8S RNA among the previously proposed models: burp gun, cloverleaf and Rubin's models.     

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.