Critical exponents for sol–gel transition in aqueous alginate solutions induced by cupric cations

The sol–gel transition in aqueous alginate solutions of four alginate samples having different molecular weights (M_W) and M/G ratios induced by cupric cations was monitored by rheology measurements. The gel point f_gel and the relaxation critical exponent n were determined using the Winter’s criterion over the alginate concentration C_Alg of 1–4 wt%. The scaling for the zero shear viscosity η₀ before the gel point and the equilibrium modulus G_e after the gel point was established against the relative distance ε from the gel point at the concentration of C_Alg = 1 wt%, giving the critical exponents k and z. The results indicated that f_gel was almost independent of the alginate concentration and became higher for the sample with lower molecular weight. The critical exponent n decreased with the increase in C_Alg for these four Cu-alginate samples and the fractal dimension d_f estimated from n suggested a denser structure in the critical gel with high G content. The critical exponent n evaluated from k and z agreed well with n determined from the Winter’s criterion.     

Experimental and theoretical study of a truly functional biomimetic molybdenum oxotransferase analogue system

Density functional theory (DFT) computations at the B3LYP/Lanl2DZ level were used to elucidate the oxygen atom transfer (OAT) and coupled electron proton transfer (CEPT) reaction steps involved in the biomimetic catalytic cycle performed by polymer-supported Mo^VIO₂(NN′)₂ complexes [NN′ = phenyl-(pyrrolato-2-ylmethylene)-amine] with water as oxygen source, trimethyl-phosphane as oxygen acceptor and one-electron oxidising agents. The DFT method employed has been validated against experimental data [X-ray crystal structures of a NN′ ligand and a Mo^VIO₂(NN′)₂ complex as well as kinetic data]. The rate-limiting step in the forward-OAT from [Mo^VIO₂] to PMe₃ is the attack of PMe₃ at an oxo ligand with ΔG^≠ (298 K) = 64.6 kJ mol⁻¹. Dissociation of the product OPMe₃ is facile with ΔG^≠ (298 K) = 26.3 kJ mol⁻¹ giving a mono-oxo [Mo^IVO] complex which fills its coordination sphere with a further PMe₃ substrate with ΔG^≠ (298 K) = 39.2 kJ mol⁻¹. One-electron oxidation to a Mo(V) phosphane complex precedes the coordination of water/hydroxide. Additionally, the comproportionation of [Mo^VIO₂] and [Mo^IVO] to dinuclear oxo-bridged [OMo^V–O–Mo^VO] species has been calculated as the thermodynamic sink in this system and the back-OAT from dmso to mono-oxo [Mo^IVO] to give [Mo^VIO₂] has been shown to involve an equilibrium between stereoisomeric [Mo^VIO₂] complexes with an activation barrier of ΔG^≠ (298 K) = 113.1 kJ mol⁻¹.     

The influence of temperature on catalytic efficiency of pyruvate kinase of crickets (Orthoptera: gryllidae)

Investigations have been conducted to determine the chemical nature of immediate temperature-regulatory mechanisms for enzyme activity, such as positive or negative temperature modulation and an adaptation-temperature dependence of the free energy of activation ΔG^≠. Three species of crickets have been selected for experiments in consideration of their different natural temperature demands: Gryllus campestris, Gryllus bimaculatus, and Acheta domesticus. Discontinuous Arrhenius plots (Fig. 1) show that all pyruvate kinases can exist in at least two temperature-dependent conformational states. Sizes of ΔH^≠-and ΔG^≠-values are correlated with the species' adaptation temperature (Table 1). Decreased barriers of ΔG^≠ after cold adaptation in G. campestris and A. domesticus are not sufficient for complete temperature compensation of the catalytic efficiency. Maximum enzyme-substrate affinity closely corresponds to the acclimation temperature of the crickets (Fig.2); K_m-values for PEP, however, are hardly influenced by experimental temperatures within the normal temperature range of the species. Data on enzyme function appear to corroborate the idea that optimal catalytic properties will be set according to the highest temperatures experienced respectively.     

Gelation of xanthan with trivalent metal ions

In-situ gelation of semidilute xanthan solutions with trivalent chromium, aluminum or iron ions was studied by rheology and UV-spectroscopy. Measurements of the elastic modulus of xanthan gel cylinders prepared by dialysis against the complexing ion at pH values from 2 to 6 indicate that monomeric species of the ion are ineffective, whereas dimeric or higher oligomeric species are effective in crosslinking the polysaccharide. When chromium was used as the crosslinking species, the dependence of the gelation rate on the ionic concentration followed a power law with a coefficient of 1·7. The gelation time and the gelation rate were found to extrapolate to zero at 1 m Cr for 2·5 mg/ml xanthan. The limiting concentration of xanthan needed for gelation with 5 m Cr(III) at 20°C was estimated as 0·35 mg/ml. This critical xanthan concentration is close to the overlap concentration c^* estimated from the experimentally determined intrinsic viscosity [η] using c^* = 1·4/[η]. An apparent activation energy for crosslinking of xanthan was calculated as E_a = 42 kJ/mol and E_a = 108 kJ/mol for Cr and Al ions, respectively. The fractal dimensionality of xanthan-Cr at the sol-gel transition was estimated as 1·3 applying the Chambon-Winter criterion for gelation, thus indicating that this gelation criterion is applicable also to stiff-chain polysaccharides such as xanthan.     

3nion-independent conformational ordering in iota-carrageenan: Disorder-order equilibria and dynamics

The equilibria and dynamics of the disorder-to-order transition of the anionic polysaccharide iota-carrageenan have been studied in the presence of tetramethyl-ammonium salts. By the use of a stopped-flow polarimeter, the rate equation and temperature dependence of the observed forward rate-constant were found to accord with a co-operative dimerisation process. Activation parameters for helix nucleation were shown to be independent of the anion for solutions containing tetramethylammonium chloride and bromide, i.e., ΔH^‡ = 1 ±3 kJ.mol⁻¹, ΔS^‡ = −178 ±10 J.mol⁻¹.K⁻¹, ΔG^‡_298K = 54 ±2 kJ.mol⁻¹, and k_nuc,298K = 1880 ±80 dm³.mol⁻¹.s⁻¹. The temperature dependence of optical rotation was also shown to be independent of the anion present.     

Rheology of kappa-carrageenan in mixtures of sodium and cesium iodide: two types of gels

Recent studies on dilute solutions (Borgström et al. (1996), Int. J. Biol. Macromol. 18, 223) have shown that kappa-carrageenan helices associate into superhelical rigid rods in mixed 0.1 M aqueous solutions of NaI and CsI above a critical mole fraction (x_Cs = 0.4) of Cs. This work concerns the temperature-dependent rheology of more concentrated systems in mixed and pure solutions of the same salts. Gels with low moduli were even found in NaI alone, although this salt is known to impede the gelation of kappa-carrageenan, but only above 0.9% (w/w) of carrageenan. These gels were reminiscent of iota-carrageenan gels in two respects: the (low) magnitude of the shear storage modulus (G′), and the absence of hysteresis in the sol-gel transition. On the other hand, both the threshold concentration for gelation and the ratio between the loss and storage moduli were substantially higher for the kappa-carrageenan gels in NaI. In mixed solutions of CsI and NaI, two types of kappa-carrageenan gels could be distinguished, depending on the cesium content. The transition occurred at x_Cs = 0.4, as in the previous studies on dilute solutions. Below x_Cs = 0.4, the gels were similar to those in NaI alone. Above x_Cs = 0.4, the gels were similar to ‘conventional’ kappa-carrageenan gels, formed in salts such as KC1: a pronounced thermal hysteresis appeared in the sol-gel transition, the gels showed tendencies for syneresis, and G′ increased dramatically with increasing cesium content.     

Effect of polymeric cosolutes on calcium pectinate gelation. Part 2. Dextrans and inulin

In a continuation of the work reported in the preceding paper, the effect of chicory root inulin (M_r≈4.5 kD) and branched dextrans of M_r 67, 464 and 2000 kD on gelation of low methoxy pectin (DE 31; 2.0 wt%; pH≈2.9–3.0) on cooling from 90 to 5 °C in the presence of stoichiometric Ca²⁺ has been characterised by low amplitude oscillatory measurements of G′ and G″. As found for other polymeric cosolutes studied previously (oxidised starch, potato maltodextrin, guar gum and locust bean gum), increasing concentrations of dextran or inulin caused a progressive increase of G′ and G″ in the solution state at 90 °C (attributed to segregative interactions promoting formation of calcium-mediated ‘egg-box’ junctions between pectin chains) and a progressive reduction in final moduli at 5 °C (attributed to excessive association of calcium pectinate into large aggregated bundles), with cooling curves crossing those for calcium pectinate alone at 55 °C. For the dextran samples, the ability to promote initial association of pectin chains at high temperature decreased with increasing molecular weight (i.e. with the smallest molecules having the greatest effect, as was also found for guar gum), but the reduction in final modulus on completion of cooling to 5 °C became more pronounced. By the criterion of the decrease in the change in log G′ during cooling, the three dextran samples studied seem roughly comparable in their overall effectiveness in promoting self-association of pectin, with inulin having a substantially smaller effect. Both materials, however, are less effective than the partially depolymerised starches and galactomannans studied previously. It is tentatively suggested that this may be associated with the flexibility introduced by the presence of three single bonds in the predominant glycosidic linkages of both dextran and inulin.     

Effect of temperature and concentration on rheological behavior of xanthan-carob mixed gels

The gelation and melting behavior of 1∶1, 1∶3 xanthan-carob mixed gels were evaluated at isothermal and non-isothermal states, as a function of total polymer concentrations of 0.1, 0.5 and 1%. A thermal hysteresis was observed between gelation and melting. The higher the polymer concentration, the higher the melting temperature. The gelation points were determined by three criteria. Depending on the criterion used the gelation temperature was different (52 to 70°C). Pseudoequilibrium modulus and elastic active network chain (EANC) concentration were calculated from the plateau modulus in the frequency spectrum. Temperature dependence of the monomeric friction coefficient was estimated from the relaxation time and EANC. Time-temperature superposition theory was not applicable due to dramatic phase transitions occurring during the gelation of X/C mixture.     

Ricochet inter-ring haptotropic rearrangement of σ-methyl-(η-indenyl) chromium tricarbonyls. Experimental kinetic and theoretical DFT study

σ-Methyl-(η⁵-indenyl) chromium tricarbonyl (III) rearranges quantitatively into η⁶-1-endo-methylindene) chromium tricarbonyl (IV) in C₆D₆ solution at 30–60°C. Methyl group attachment to the positions 2 or 3 of indenyl ligand in (III) has no influence on the activation parameters of this ricochet inter-ring haptotropic rearrangement (ΔG^#=23.6 kcal mol⁻¹; ΔH^#=18.9±0.2 kcal mol⁻¹; ΔS^#=−18.6±0.2 cal K⁻¹ mol⁻¹). (IV) undergoes further irreversible isomerization at 60–120° into (ν⁶-3-methylindene) chromium tricarbonyl (V) with a higher activation barrier (ΔG^#=28.5±0.1 kcal mol⁻¹) via two consecutive [1,5]-sigmatropic hydrogen shifts. The mechanisms of both rearrangements have been studied in detail using density functional theory (DFT) calculations with extended basis sets. Calculations show that the rearrangement (III) → (IV) proceeds in two steps. Methyl group migration from chromium into position 1 of the indenyl ligand is the rate-determining step leading to the formation of the 16-electron intermediate (VII). The calculated activation barrier (E_a=19.6 kcal mol⁻¹) is in good agreement with the experimental one. Further rearrangement (VII) → (V) proceeds via a trimethylenemethane-type transition state (XVIII) with an activation barrier 11.8 kcal mol⁻¹. The coordination of the chromium tricarbonyl group at the six-membered ring has only minor influence on the kinetic parameters of the hydrogen [1,5]-sigmatropic shift in indene.     

Rheological properties of mixtures of kappa-carrageenan from Hypnea musciformis and galactomannan from Cassia javanica

Mixed gels of κ-carrageenan (κ-car) from Hypnea musciformis and galactomannans (Gal) from Cassia javanica (CJ) and locust bean gum (LBG) were compared using dynamic viscoelastic measurements and compression tests. Mixed gels at 5 g/l of total polymer concentration in 0.1 M KCl showed a synergistic maximum in viscoelastic measurements for κ-car/CJ and κ-car/LBG at 2:1 and 4:1 ratios, respectively. The synergistic maximum obtained from compression tests carried out for mixed gels at 10 g/l of total polymer concentration in 0.25 M KCl was the same for both κ-car/CJ and κ-car/LBG gels. An enhancement in the storage modulus (G′) and the loss modulus (G″) was observed in the mechanical spectra for the mixtures in relation to κ-car. The proportionally higher increase in G″ compared with G′, as indicated by the values of the loss tangent (tan δ), suggests that the Gal adhere non-specifically to the κ-car network.     

Structural changes during heat-induced gelation of globular protein dispersions

Macroscopic and molecular structural changes during heat-induced gelation of beta-lactoglobulin, bovine serum albumin, ovalbumin, and alpha-lactalbumin aqueous dispersions were probed by the mechanical and CD spectroscopy, respectively. Aqueous solutions of the native globular proteins, except for alpha-lactalbumin, exhibited solid-like mechanical spectra-namely, the predominant storage modulus G' over the loss modulus G" in the entire frequency range examined (0.1-100 rad/s), suggesting that these protein solutions were highly structured even before gelation, possibly due to strong repulsions among protein molecules. Such solid-like structures were susceptible to nonlinearly large shear but recovered almost immediately at rest. During gelation by isothermal heating, major changes in the secondary structure of the globular proteins completed within a few minutes, while values of the modulus continued to develop for hours with maintaining values of tandelta (= G"/G') less than unity. As a result, a conventional criterion for mechanically defining the gelation point, such as a crossover between G' and G", was inapplicable to these globular protein systems. beta-Lactoglobulin gels that had passed the gelation point satisfied power laws (G' approximately G" approximately omega(n)) believed to be valid only at the gelation point, suggesting that fractal gel networks, similar to those of critical gels (i.e., gels at the gelation point), were formed.     

Influence of sucrose on the rheology and granule size of cross-linked waxy maize starch dispersions heated at two temperatures

Cross-linked waxy maize (CWM) starch dispersions (STDs) of concentration 50 g kg⁻¹ were heated in sucrose solutions containing 0–600 g kg⁻¹ (g sucrose/kg dispersion) at 85 °C at low shear and in intermittently agitated cans at 110 °C. The STDs heated in 0–300 g kg⁻¹ sucrose exhibited antithixotropic behavior, while those heated in 400–600 g kg⁻¹ sucrose exhibited thixotropic behavior. The mean starch granule diameter of the starch dispersions did not show strong dependence on sucrose concentration. The dispersions, especially those with high sucrose concentrations and heated at 110 °C, exhibited G′ versus frequency (ω) profiles of gels. The STDs exhibited first normal stress differences that increased in magnitude with the concentration of sucrose. Values of the first normal stress coefficient of canned dispersions calculated from dynamic rheological data plotted against ω and experimental values plotted against shear rate of some of the STDs overlapped.     

Dynamic rheology of agar gels: theory and experiments. Part II: gelation behavior of agar sols and fitting of a theoretical rheological model

A theoretical rheological model for agar gels, based on the bead spring model for linear flexible random coils and the model for crosslinked polymers, is successfully fitted to experimental gelation curves obtained over a wide range of cooling rates (0.5–20 °C min⁻¹) and agar concentration (1–3 wt%). The theoretical gelation temperature, T_gel^model increases with increasing agar concentration and decreasing cooling rate. The intrinsic net association rate increases significantly with increasing cooling rate. This increase is related to the higher probability of association of the non-associated agar molecules at higher cooling rates.     

Gelation of fractionated canine submaxillary mucin in a chaotropic solvent

Rheological measurements have been performed on three molecular weight fractions of purified canine submaxillary mucin (CSM) dissolved in the chaotropic solvent 6 M guanidine hydrochloride (GdnHCI). Solutions of the lower molecular weight fractions are viscoelastic sols, and their dynamic moduli can be scaled with respect to molecular weight and concentration according to linear viscoelasticity theory. In contrast, preparations of the highest molecular weight fraction form viscoelastic gels that exhibit an equilibrium shear modulus, G_e^′, which scales with mucin concentration as G_e^′ c³. Amino acid and carbohydrate analyses of all three fractions are similar; thus, the differences in rheological behavior are attributed to molecular weight differences, which affect the degree of coil overlap in solutions of a given concentration. These observations demonstrate conclusively that mucin glycoproteins of high molecular weight form gels under conditions in which the mucin chains physically interpenetrate, even when non-covalent intermolecular interactions are extensively disrupted. A comparison of these results with previous studies of purified submaxillary and tracheobronchial mucins indicates that the carbohydrate side-chain length, in addition to molecular weight, is an important determinant of the observed elastic response and the ability to form physical gels     

Multiple deficiencies in antioxidant enzymes in mice result in a compound increase in sensitivity to oxidative stress

To examine the effect of compound deficiencies in antioxidant defense, we have generated mice (Sod2^+/−/Gpx1^−/−) that are deficient in Mn superoxide dismutase (MnSOD) and glutathione peroxidase 1 (Gpx1) by breeding Sod2^+/− and Gpx1^−/− mice together. Although Sod2^+/−/Gpx1^−/− mice showed a 50% reduction in MnSOD and no detectable Gpx1 activity in either mitochondria or cytosol in all tissues, they were viable and appeared normal. Fibroblasts isolated from Sod2^+/−/Gpx1^−/− mice were more sensitive (4- to 6-fold) to oxidative stress (t-butyl hydroperoxide or γ irradiation) than fibroblasts from wild-type mice, and were twice as sensitive as cells from Sod2^+/− or Gpx1^−/− mice. Whole-animal studies demonstrated that survival of the Sod2^+/−/Gpx1^−/− mice in response to whole body γ irradiation or paraquat administration was also reduced compared with that of wild-type, Sod2^+/−, or Gpx1^−/− mice. Similarly, endogenous oxidative stress induced by cardiac ischemia/reperfusion injury led to greater apoptosis in heart tissue from the Sod2^+/−/Gpx1^−/− mice than in that from mice deficient in either MnSOD or Gpx1 alone. These data show that Sod2^+/−/Gpx1^−/− mice, deficient in two mitochondrial antioxidant enzymes, have significantly enhanced sensitivity to oxidative stress induced by exogenous insults and to endogenous oxidative stress compared with either wild-type mice or mice deficient in either MnSOD or Gpx1 alone.     

Rate constants and activation parameters for organo-cobalt porphyrin bond homolysis from NMR relaxation times

¹H NMR line broadening is found to be an effective complimentary method to chemical trapping for determining the rates and activation parameters for organo-metal bond homolysis events that produce freely diffusing radicals. Application of this method is illustrated by measurement of bond homolysis activation parameters for a series of organo-cobalt porphyrin complexes ((TPP)Co-C(CH₃)₂CN (ΔH^≠ = 19.5±0.9 kcal mol⁻¹, ΔS^≠ = 12±3 cal°K⁻¹ mol⁻¹), (TMP)Co-C(CH₃)₂CN (ΔH^≠ = 20±1 kcal mol⁻¹,ΔS^≠ = 13±2 cal°K⁻¹ mol⁻¹), (TAP)Co-C(CH₃)₂CO₂CH₃ (ΔH^≠ = 18.2±0.5 kcal mol⁻¹, ΔS^≠ = 12±2 cal °K⁻¹ mol⁻¹), (TAP)Co-CH(CH₃)C₆H₅ (ΔH^≠ = 22.5±0.5, ΔS^≠ = 17±2 cal °K⁻¹ mol⁻¹)). The line broadening method is particularly useful in determining activation parameters for dissociation of weakly bonded organometallics where the rate of homolysis can exceed the range measurable by conventional chemical trapping methods.     

Studies on the kinetics and mechanism of anation reactions of some six-coordinate complexes of chromium(III) in aqueous solution

Rates of stepwise anation of cis-Cr(ox)₂(H₂O₂)⁻ with SCN⁻/N₃⁻, Cr(acac)₂(H₂O)₂⁺ with SCN⁻ and Cr(atda)(H₂O)₂ with SCN⁻ have been investigated in weakly acidic aqueous solutions. Rate constants, k_I and k_II for the two steps in each system, are composite as k_x = k_x⁰+k_x^X[X⁻] (x = I, II; X⁻ = SCN⁻, N₃⁻). These rate constants have been evaluated also as the corresponding ΔH^≠ and ΔS^≠ values. The results obtained and the plausible I_d mechanism seem to suggest Cr---OOC bond dissociation (hence a strongly negative ΔS^≠) generating the transition state in each system with outer-sphere association forming the precursor complex in the X⁻ dependent paths.     

Micronucleated erythrocyte frequency in control and azidothymidine-treated Tk+/+, Tk+/- and Tk-/- mice

The first step in the activation of the anti-retroviral nucleoside analogue azidothymidine (AZT) involves its conversion to a 5′-monophosphate. In this study, we have evaluated the role of cytosolic thymidine kinase (Tk), the major enzyme involved in phosphorylating thymidine and its analogues, in the nuclear DNA damage produced by AZT in neonatal mice. Tk^+/+, Tk^+/− and Tk^−/− mice were treated intraperitoneally with 200 mg/kg/day of AZT on postnatal days 1 through 8, and micronuclei were measured in peripheral blood 24 h after the last dose. AZT treatment increased the micronucleus (MN) frequencies to similar extents in both the reticulocytes (RETs) and normochromatic erythrocytes (NCEs) of Tk^+/+ and Tk^+/− mice; AZT did not increase the frequency of micronucleated RETs (MN-RETs) or micronucleated NCEs (MN-NCEs) in Tk^−/− mice. Unexpectedly, neonatal Tk^−/− mice treated with the vehicle had significantly elevated MN frequencies for both RETs and NCEs relative to Tk^+/+ and Tk^+/− mice (e.g., 3.4% MN-RETs and 4.8% MN-NCEs in Tk^−/− mice versus 0.7 and 0.6% MN-RETs and MN-NCEs in neonatal Tk^+/+ mice). Additional assays performed on untreated Tk^−/− mice showed that elevated spontaneous MN frequencies persisted until at least 20 weeks of age, which approaches the average lifespan of Tk^−/− mice. These results indicate that metabolism by Tk is necessary for the genotoxicity of AZT in neonatal mice; however, the genotoxicity of AZT is not altered by reducing the Tk gene dose by half. The elevated spontaneous MN frequencies in Tk^−/− mice suggest the presence of an endogenous genotoxic activity in these mice.     

“Melt-in-the-mouth” gels from mixtures of xanthan and konjac glucomannan under acidic conditions: A rheological and calorimetric study of the mechanism of synergistic gelation

The effect of acidification on a typical commercial xanthan and on pyruvate-free xanthan (PFX), alone and in gelling mixtures with konjac glucomannan (KGM), has been studied by differential scanning calorimetry (DSC) and small-deformation oscillatory measurements of storage modulus (G′) and loss modulus (G″). For both xanthan samples, progressive reduction in pH caused a progressive increase in temperature of the disorder–order transition in DSC, and a progressive reduction in gelation temperature with KGM. This inverse correlation is interpreted as showing that synergistic gelation involves disruption of the xanthan 5-fold helix, probably by attachment of KGM to the cellulosic backbone of the xanthan molecule (as proposed previously by a research group in the Institute of Food Research, Norwich, UK). Higher transition temperature accompanied by lower gelation temperature for PFX in comparison with commercial xanthan at neutral pH is explained in the same way. However, an additional postulate from the Norwich group, that attachment of KGM (or galactomannans) can occur only when the xanthan molecule is disordered, is inconsistent with the observation that gelation of acidified mixtures of KGM with PFX can occur at temperatures more than 60 °C below completion of conformational ordering of the PFX component (as characterised by DSC). Increase in G′ on cooling for mixtures of commercial xanthan with KGM at pH values of 4.5 and 4.25 occurred in two discrete steps, the first following the temperature-course observed for the same mixtures at neutral pH and the second occurring over the lower temperatures observed for mixtures of KGM with PFX at the same values of pH. These two “waves” of gel formation are attributed to interaction of KGM with, respectively, xanthan sequences that had retained a high content of pyruvate substituents, and sequences depleted in pyruvate by acid hydrolysis. At pH values of 4.0 and lower, gelation of mixtures of KGM with commercial xanthan followed essentially the same temperature-course as for mixtures with PFX, indicating extensive loss of pyruvate under these more strongly acidic conditions. Mixtures prepared at pH values in the range 4.0–3.5 gave comparable moduli at room temperature (20 °C) to those obtained at neutral pH, but showed substantial softening on heating to body temperature, suggesting possible applications in replacement of gelatin in products where “melt-in-the-mouth” characteristics are important for acceptability to the consumer.     

Thermodynamics of the disproportionation of adenosine 5'-diphosphate to adenosine 5'-triphosphate and adenosine 5'-monophosphate, II. Experimental data

High-pressure liquid-chromatography and microcalorimetry have been used to determine equilibrium constants and enthalpies of reaction for the disproportionation reaction of adenosine 5′-diphosphate (ADP) to adenosine 5′-triphosphate (ATP) andadenosine 5′-monophosphate (AMP). Adenylate kinase was used to catalyze this reaction. The measurements were carried out over the temperature range 286 to 311 K, at ionic strengths varying from 0.06 to 0.33 mol kg⁻¹, over the pH range 6.04 to 8.87, and over the pMg range 2.22 to 7.16, where pMg = -log a(Mg²⁺). The equilibrium model developed by Goldberg and Tewari (see the previous paper in this issue) was used for the analysis of the measurements. Thus, for the reference reaction: 2 ADp³⁻ (ao) AMp²⁻ (ao)+ ATp⁻ (ao), K° = 0.225 ± 0.010, ΔG° = 3.70 +- 0.11 kJ mol ⁻¹, ΔH° = −1.5 ± 1. 5 kJ mol ⁻¹, °S ° = −17 ± 5 J mol⁻¹ K⁻¹, and ACP_p°≈ = −46 J mo1l⁻¹ K⁻¹ at 298.15 K and 0.1 MPa. These results and the thermodynamic parameters for the auxiliary equilibria in solution have been used to model the thermodynamics of the disproportionation reaction over a wide range of temperature, pH, ionic strength, and magnesium ion morality. Under approximately physiological conditions (311.15 K, pH 6.94, [Mg²⁺] = 1.35 × 10⁻³ mol kg⁻¹, and I = 0.23 mol kg⁻¹) the apparent equilibrium constant (K_A′ = m(ΣAMP)m(ΣATP)/[ m(ΣADP)]²) for the overall disproportionation reaction is equal to 0.93 ± 0.02. Thermodynamic data on the disproportionation reaction and literature values for this apparent equilibrium constant in human red blood cells are used to calculate a morality of 1.94 × 10⁻⁴ mol kg⁻¹ for free magnesium ion in human red blood cells. The results are also discussed in relation to thermochemical cycles and compared with data on the hydrolysis of the guanosine phosphates.