A rapid non-equilibrium critical precipitation assay to assess aluminium-ligand interactions

Abstract

In many natural situations (e.g. environmental and biological) aqueous metal-ligand interactions occur in complex, dynamic solutions and do not adhere to true equilibrium. Nonetheless, equilibrium-based assays in simple solutions are generally used to model metal-ligand interactions of natural systems. Moreover, these are time consuming and not easily applied or understood by many applied scientists. Here, a ‘critical precipitation assay’ was used to investigate the interaction of common ligands with aluminium at pH 7.0, under non-equilibrium conditions. Results obtained were correlated with literature-derived stability constants for the aluminium-ligand interactions, while high-resolution ¹H nuclear magnetic resonance spectroscopy (¹H NMR) was used to confirm the nature of observed interactions. Weak interaction with aluminium was confirmed for traditional weak ligands (e.g. bicarbonate) as these were unable to compete with the hydroxide ion for aluminium at pH 7.0. Two types of interaction were seen for the ‘stronger’ ligands that could compete with hydroxy-polymerisation. Firstly, distinct aluminium:ligand stoichiometric ratios were observed for ligands such as ethylenediaminetetra-acetic acid (1:1) or 1,3,5-trideoxy-1,3,5-tris( dimethylamino)-cis-inositol (1:2). Secondly, most ligands, including citrate and maltol, did not prevent hydroxy-polymerisation but did maintain more aluminium ‘in solution’ (approximately 2.5:1 aluminium:ligand) than permitted by acceptable aluminium:ligand stoichiometric ratios, suggesting the formation of dynamic metastable hydroxy-bridged aluminium-ligand complexes. ¹H NMR with aluminium and maltol or citrate, supported this idea as complex spectral patterns were observed prior to precipitation. Aluminium maintained in solution at pH 7.0 correlated, with literature-derived stability constants suggesting that non-equilibrium aluminium-ligand interactions approximate to equilibrium and that this assay could be used as a quick screening method for investigation of aluminium-ligand interactions.     

Biospecific adsorption of lysozyme onto monoclonal antibody ligand immobilized on nonporous silica particles

It is very important to understand the equilibrium and dynamic characteristics of biospecific adsorption (affinity chromatography) for both scientific and application purposes. Experimental equilibrium and dynamic column data are presented on the adsorption of lysozyme onto antibody immobilized on nonporous silica particles. The Langmuir model is found to represent the equilibrium experimental data satisfactorily, and the equilibrium association constants and heats of adsorption have been estimated for two systems with different ligand densities. The effects of nonspecific interactions are more pronounced in the system with low-density ligand. The dynamic interaction kinetic parameters are estimated by matching the predictions of a fixed-bed model with the experimental breakthrough curves. The agreement between theory and experiment is good for the initial phases of breakthrough, where the mechanism of biospecific adsorption is dominant. In the later phase (saturation neighborhood) of breakthrough, the effects of nonspecific interactions appear to be greater in the low-density ligand system. The kinetics of the nonspecific interactions were estimated from the data of the later phase of breakthrough and were found to be considerably slower than those attributed to biospecific adsorption.     

Coupled kinetic traps in cytochrome c folding: His-heme misligation and proline isomerization

The effect of His-heme misligation on folding has been investigated for a triple mutant of yeast iso-2 cytochrome c (N26H,H33N,H39K iso-2). The variant contains a single misligating His residue at position 26, a location at which His residues are found in several cytochrome c homologues, including horse, tuna, and yeast iso-1. The amplitude for fast phase folding exhibits a strong initial pH dependence. For GdnHCl unfolded protein at an initial pH<5, the observed refolding at final pH 6 is dominated by a fast phase (tau(2f)=20 ms, alpha(2f)=90 %) that represents folding in the absence of misligation. For unfolded protein at initial pH 6, folding at final pH 6 occurs in a fast phase of reduced amplitude (alpha(2f) approximately 20 %) but the same rate (tau(2f)=20 ms), and in two slower phases (tau(m)=6-8 seconds, alpha(m) approximately 45 %; and tau(1b)=16-20 seconds, alpha(1b) approximately 35 %). Double jump experiments show that the initial pH dependence of the folding amplitudes results from a slow pH-dependent equilibrium between fast and slow folding species present in the unfolded protein. The slow equilibrium arises from coupling of the His protonation equilibrium to His-heme misligation and proline isomerization. Specifically, Pro25 is predominantly in trans in the unligated low-pH unfolded protein, but is constrained in a non-native cis isomerization state by His26-heme misligation near neutral pH. Refolding from the misligated unfolded form proceeds slowly due to the large energetic barrier required for proline isomerization and displacement of the misligated His26-heme ligand.     

Evaluation of equilibrium constants by affinity chromatography

Theoretical expressions are derived for affinity chromatography of systems comprising an acceptor A with one binding site for attachment to a functional group X on the column matrix and one site for interaction with a small ligand B that specifically affects its elution. From a general relationship covering all possible interactions between A, B and X simpler expressions are derived for affinity systems in which only two equilibria operate. Methods are suggested whereby these simpler systems may be characterized in terms of the two pertinent equilibrium constants and the concentration of matrix-bound constituent. The means by which the theory may be adapted to affinity chromatography of acceptors with multiple binding sites for ligand is also illustrated. Results of partition experiments on the Sephadex G-100-lysozyme-d-glucose system in acetate-chloride buffer (I=0.17m), pH5.4, are used to demonstrate the feasibility of evaluating quantitatively affinity-chromatography interactions. Values of 30m(-1) and 1.2x10(6)m(-1) are obtained for the equilibrium constants for the reactions of lysozyme with glucose and Sephadex respectively, there being only an occasional binding site in the polysaccharide matrix (approximately 1 in 10(5) glucose residues). In a second experimental study the phytohaemagglutinin from Ricinus communis is subjected to frontal chromatography on Sepharose 4B in the presence of different concentrations of d-galactose, the results illustrating some of the difficulties and limitations that are likely to be encountered in quantitative studies of affinity-chromatographic systems.     

Study of aluminium concentration and speciation of surface water in four catchments in the Limousin region (France)

This study highlights the contamination of the upstream catchment of several rivers (Vienne, Gartempe, Vézère) in the Limousin (France) by aluminium in the absence of atmospheric pollution. The presence of acid soils on a granitic platform is a natural factor which contributes to the presence of protons and aluminium in water. In the Limousin, it seems that the presence of aluminium in surface water is due to a combination of natural factors: poor acid soils, numerous wet moors and peat bogs. It is currently difficult to evaluate the real impact of intensive cultivation of coniferous trees on the aluminium concentrations found in water in this area. In water, the concentration in total aluminium increases with a decrease in pH and an increase in organic matter. Despite, high concentrations of total aluminium at low pH (close to or lower than 6), the monomeric toxic forms of aluminium, computed with a speciation software, are always inferior to the toxic values for fish. Under such conditions, the concentration in aluminium recorded in some upstream catchments of the Limousin rivers may not cause damage to aquatic life.     

Cooperative binding of 2,2′‐bipyridine into polynucleotide poly(A)–poly(U‐) in an alkaline aqueous solution

UV absorption data analysis has been used to evaluate equilibrium constants of the pH‐induced interaction of 2,2′‐Bipy with polyadenylnic‐polyuridylic acid in aqueous solution. The conditional probabilities hard model has been adopted in treatment of concentration diagrams calculated by the soft modelling‐based Multivariate Curve Resolution‐Alternating Least Squares approach. Intrinsic binding constant (lgK_g = 1.93), and the cooperativity parameter (ω = 340), were calculated as the best fit. The plot of the experimental binding constant versus 2,2′‐Bipy equilibrium concentration shows two modes of ligand with polymer interactions. The equilibrium hard model correctly reproduced the binding constant variations observed in the experiment. The results indicated that ligand binding in two steps is governed by a cooperative process, that is, the enhancement of deprotonated structure stability. It would appear that proposed calculation approach can be used in future combined hard modelling theoretical and soft modelling experimental works. © 2013 Wiley Periodicals, Inc. Biopolymers 99:621–627, 2013.     

Effect of aluminium hydroxide on serum ionised calcium,immunoreactive parathyroid hormone,and aluminium in chronic renal failure.

According to the Bricker-Slatopolsky theory, secretion of parathyroid hormone (PTH) is switched on in chronic renal failure by hypocalcaemia due to phosphate retention. In an attempt to reverse this process 20 patients in preterminal renal failure (plasma creatinine 569 +/- 195 mumol/l) were given aluminium hydroxide, 3.8 g daily. They were studied for four weeks and all measurements were made at the start and weekly, except measurements of serum aluminium concentration, which were made at the start and at the end of the fourth week. Mean serum phosphate fell from 1.89 to 1.47 mmol/l (5.9 to 4.6 mg/100), mean serum calcium rose from 2.07 to 2.24 mmol/l (8.3 to 9.0 mg/100 ml), and serum ionised calcium rose from 1.07 to 1.20 mmol/l (4.3 to 4.8 mg/100 ml), but serum immunoreactive PTH did not fall. Thirteen patients had initial serum immunoreactive PTH concentrations at or near to normal and 11 were taking beta-blockers but even in those with neither explanation, PTH concentrations did not fall. Serum aluminium concentrations rose from 0.4 to 1.02 mumol/l (10.9 to 27.4 microgram/l). Aluminium hydroxide corrects serum phosphate, total calcium, and ionised calcium at the price of a rise in serum aluminium concentration; in this study it did not affect serum immunoreactive PTH. The Bricker-Slatopolsky theory still needs verification in studies of patients with chronic renal failure.     

Co-ordination of transition metal ions by galactaric acid: a potentiometric and spectroscopic study

A solution study on the ability of galactaric acid [GalaH(2), HOOC(CH)(4)COOH] in the complexation of biological metal ions such as Co(II) and Ni(II) and toxic metal ions such as Cd(II), Pb(II) and Hg(II), is reported. The stability constants of the complex species are determined by means of potentiometric measurements. Galactaric acid behaves as chelate ligand through carboxylic oxygen and alpha-hydroxy group towards Co(II) and Ni(II), while in the Pb(II) and Cd(II) containing system it co-ordinates the metal ion with carboxylic oxygen and two alcoholic hydroxy groups. The prevailing species at acidic or neutral pH is [MGala] which is also isolated in the solid state and characterized by means of IR spectroscopy. On increasing pH, the [MGalaH(-1)](-) species is also formed where the co-ordinated OH group undergoes deprotonation in all metal ion complexes except those with Hg(II), where the co-ordination of hydroxide ion is suggested as the precipitation of the metal hydroxide occurs at pH 7.     

Aluminium toxicity expression nutrient uptake,growth and root morphology ofTrifolium repens L. cv. ‘Grasslands Huia’

Summary Hydroponic experiments were undertaken to examine the effect of increasing aluminium levels on the mineral nutrition and root morphology ofT. repens growing in nutrient solution. Toxicity symptoms appear between 27.8 and 47.5 M Al³⁺ activity (148 to 297 M total aluminium). The threshold level corresponding to a 10% reduction in leaf fresh weight is estimated to be approximately 20 M Al³⁺ activity.The concentration of aluminium in the leaves of white clover increases exponentially with aluminium activity in the nutrient solution. The uptake of divalent cations was inhibited but aluminium enhanced potassium and nitrogen concentrations in both leaves and roots.At high pH (pH 6.0) the speciation of aluminium is controlled by the formation of solid aluminium phosphate and aluminium hydroxide except at the lowest aluminium level (37 M) where 99.9 per cent is present as the DTPA complex. As the concentration of total aluminium increases, the percentage of Al-DTPA and soluble aluminium hydroxide decreases whilst solid Al(OH)₃ increases rapidly to reach a maximum of 91.6 percent (of the total aluminium) in the 1180 M aluminium treatment. At pH 4.5 the dominant forms of aluminium are free aluminium ion Al-DTPA, AlSO ₄ ⁺ and AlOH²⁺.The roots of aluminium stressed plants showed symptoms typical of aluminium toxicity.     

Control and stability of ligand receptor interaction in the presence of a competitive compound.

The law of mass action is almost universally applied to both endogenous ligands and drugs that interact with specific cellular receptors. The concentration, and hence the receptor binding, of a foreign drug molecule will depend on its pharmacokinetic properties, whereas an endogenous ligand is subject to intrinsic control since the concentration (z) remains within limits around an equilibrium level. We have previously examined this control for ligand-receptor interactions proceeding according to mass action in which the ligand is produced (rate F), eliminated exponentially (rate constant E) and controlled by a feedback function of receptor occupancy, phi (y), where y is the bound concentration. The current study examines the control of an endogenous ligand in the presence of a second compound (agonist or antagonist) that interacts with the same receptor. From a computer solution of the set of differential equations, illustrated in both time-plots and phase plane (y-z) plots, it is shown that if the second agent is a pure competitive antagonist the bound concentration of the endogenous agonist ligand may not decrease appreciably, even for large doses of the antagonist. Instead the level of binding depends on certain parameters of the control function. Further, the computer simulation shows how these parameters affect the time course of released ligand resulting from administration of an antagonist and the suppression of such release when the second compound is an agonist.     

Analysis of ligand-binding data without knowledge of bound or free ligand molar concentration

A method is proposed to set the parameters in a nonlinear regression procedure to determine the equilibrium dissociation constant (Kd) and the high affinity receptor concentration (Bmax) of systems consisting of one ligand, one high affinity receptor, and n low affinity binding sites. This method is suitable when neither bound or free ligand formal concentrations nor the maximum of the binding signal can be deduced from the experimental data. The method makes use of (i) the abscissa of the first inflection point of the plot of any signal proportional to the binding of ligand to receptors versus the logarithm of the total ligand concentration, and (ii) the initial slope of the saturation curve plotted in direct coordinates. We first demonstrate that when such an inflection point exists, its abscissa lies between Bmax/2 + Kd(1 + d) and Bmax + 2Kd(1 + d), where d is a parameter representative of the binding to the low affinity sites. Second, we demonstrate that the initial slopes of two saturation curves in direct coordinates, where Bmax varies by a known factor, allows an estimation of the Bmax/Kd ratio, within certain limits. From these two sets of data it is subsequently possible to define a precise window for the values of both Bmax and Kd. The performance of the method has been evaluated in representative cases using Monte Carlo studies. The results establish conditions for the existence of an inflection point as well as the influence of low affinity binding, whether or not proportional to Bmax.     

Fluorescence displacement method for the determination of receptor-ligand binding constants.

The equilibrium constant for the binding of a spectroscopically invisible ligand to its protein receptor can be determined in a competition experiment, by using a structural analog that contains a reporter group (fluorophor). A novel mathematical treatment of the multiple equilibria allows the analysis to be performed under tight-binding conditions. The equilibrium equation for mixtures of two mutually competitive tight-binding ligands can be expressed in a recursive form, a form in which the dependent variable appears on both sides and the solution is found iteratively. The algorithm is also applicable to the special case of weak binding, where the concentration of the bound ligand can be neglected in the mass balance. The fluorescence displacement method is demonstrated on the determination cyclophilin binding to cyclosporin A (CsA), in competition with its fluorescent derivative, [D-Lys(Dns)]8-CsA.     

Nickel Removal from Aqueous Solutions Using Sheep Manure Wastes

This paper reports a study on the potential use of sheep manure waste (SMW) for the removal of nickel ions from aqueous solutions. The adsorption of nickel ions from aqueous solutions on SMW has been studied as functions of contact time, initial pH, amount of sorbent, sorbent particle size, initial concentration of nickel ions, salt, and chelating agents. The experimental results showed that the SMW has a high affinity for nickel binding, where 79 % removal of 100 ppm initial nickel ions concentration was obtained using 8.0 mg SMW/mL, at pH 6.5 in 4 minutes equilibrium time. The equilibrium adsorption data were analyzed using four different isotherms: the Langmuir, Freundlich, Redlich‐Peterson, and Sips isotherm equations. The results of the kinetic studies showed that the adsorption of nickel ions on SMW is a pseudo‐first order with respect to the nickel ions solution concentration.     

Solution structure and conformational heterogeneity of acylphosphatase from Bacillus subtilis

Acylphosphatase is a small enzyme that catalyzes the hydrolysis of acyl phosphates. Here, we present the solution structure of acylphosphatase from Bacillus subtilis (BsAcP), the first from a Gram-positive bacterium. We found that its active site is disordered, whereas it converted to an ordered state upon ligand binding. The structure of BsAcP is sensitive to pH and it has multiple conformations in equilibrium at acidic pH (pH < 5.8). Only one main conformation could bind ligand, and the relative population of these states is modulated by ligand concentration. This study provides direct evidence for the role of ligand in conformational selection.     

Negative second virial coefficients as predictors of protein crystal growth: evidence from sedimentation equilibrium studies that refutes the designation of those light scattering parameters as osmotic virial coefficients

The effects of ammonium sulphate concentration on the osmotic second virial coefficient (BAA/MA) for equine serum albumin (pH 5.6, 20 degrees C) have been examined by sedimentation equilibrium. After an initial steep decrease with increasing ammonium sulphate concentration, BAA/MA assumes an essentially concentration-independent magnitude of 8-9 ml/g. Such behaviour conforms with the statistical-mechanical prediction that a sufficient increase in ionic strength should effectively eliminate the contributions of charge interactions to BAA/MA but have no effect on the covolume contribution (8.4 ml/g for serum albumin). A similar situation is shown to apply to published sedimentation equilibrium data for lysozyme (pH 4.5). Although termed osmotic second virial coefficients and designated as such (B22), the negative values obtained in published light scattering studies of both systems have been described incorrectly because of the concomitant inclusion of the protein-salt contribution to thermodynamic nonideality of the protein. Those negative values are still valid predictors of conditions conducive to crystal growth inasmuch as they do reflect situations in which there is net attraction between protein molecules. However, the source of attraction responsible for the negative virial coefficient stems from the protein-salt rather than the protein-protein contribution, which is necessarily positive.     

The simultaneous determination of intracellular pH and cell energy status

The relationship between the apparent equilibrium constant of creatine kinase and intracellular pH was evaluated in CHO and murine FSaII tumor cells. The apparent equilibrium constant, K' = [ATP][Cr]/[ADP][PCr], was determined from acid extracts at variable pH. Intracellular pH (pHi) was determined from the intracellular/extracellular distribution of the weak acid 5,5-dimethyl-2,4-oxazolidinedione. Over the intracellular pH range of 7.2 to 6.1, K' increased by a factor of approximately 10. Intracellular pH was related to the apparent equilibrium constant by the equation pHi = -log K' + log K, where the value of the constant log (log[K'/H+]) was 8.09. Over the same pH range, the concentration of phosphocreatine decreased with pH. Essentially identical results were obtained in CHO and FSaII tumor cells. The similar apparent equilibrium constants in CHO and FSaII cells suggest that assessment of the creatine kinase metabolites will be useful not only for determination of cell energy status but also for the determination of intracellular pH. This information may be useful for the design of therapeutic strategies which are influenced by pH or energy status such as hyperthermia, and drugs which are weak acids or bases, including hypoxic cell radiosensitizers.     

Some effects on the growth of brown trout from exposure to aluminium at different pH levels

Yearling brown trout, Salmo trutta L., were exposed to various concentrations of inorganic aluminium (0–3.7 μM1⁻¹) over a pH range of 4.3–6.5 in a flow-through bioassay apparatus using synthetic test media. Low pH, in the absence of aluminium, produced little effect on growth or survival except at the lowest pH tested (4.3). At pH less than 5.5, concentrations of total aluminium in excess of 1 μM 1⁻¹ (27μg 1⁻¹) were found to retard growth. The effects of a given aluminium concentration were markedly reduced at pH above 5.5.
The change in aluminium toxicity with pH must be related to changes in aluminium chemistry. When growth rates are correlated with the different aluminium species, calculated using thermodynamic equilibrium constants given in the literature, it appears that the Al(OH)^{2 +} species is the most toxic, with a small contribution also coming from polymeric complexes.     

Partial specific volume changes of proteins densimetric studies

The partial specific volume of proteins has been investigated as a function of protein concentration, temperature, pH, and a number of denaturing and non-denaturing solvent components. Protein concentration (5–100 mg·ml^?1) is found to have no effect; increasing temperature (4–40°C), as well as addition of electrolytes, sugars, and polyols, leads to an approximately linear increase; upon ligand binding, as well as denaturation by heat, extremes of pH, guanidine. HCl, urea, or sodium dodecyl sulfate, a predominantly non-linear decrease is observed. The study demonstrates the importance of measuring rather than calculating the specific volume of proteins. This holds especially in multicomponent systems, where solvent conditions may cause drastic effects.     

Cooperativity of ligand binding as a function of monomer-dimer equilibrium parameters and acceptor concentration

A general monomer-dimer equilibrium system involving ligand interactions ispresented. Cooperativity features of specific limited models are analyzed by selecting the appropriate family of equilibrium constants from this general scheme. Each system is then characterized in terms of Hill coefficient dependency on alterations in values of equilibrium constants and total acceptor concentration. This method permits comparison of predicted cooperativity trends between systems. Contrasting reports concerning cooperativity dependencies for certain defined equilibrium systems are compared and the discrepancies resolved. Characteristics of cooperativity binding patterns are shown to include symmetry about dimerization association constant values, both positive and negative cooperativity for a single set of parameters, and significant changes in cooperativity features with relatively small changes in equilibrium parameters.     

Sedimentation equilibrium in a solution containing an arbitrary number of solute species at arbitrary concentrations: theory and application to concentrated solutions of ribonuclease

Simple expressions are derived describing the equilibrium concentration gradient of each species in a solution containing an arbitrary number of solute species at arbitrary concentration, as a function of the concentration of all species. Quantitative relationships between the species gradients and experimentally observable signal gradients are presented. The expressions are model-free and take into account both attractive and repulsive interactions between all species. In order to analyze data obtained from strongly nonideal solutions, a statistical thermodynamic model for repulsive solute-solute interactions is required. The relations obtained are utilized to analyze the dependence of the equilibrium gradient of ribonuclease A in phosphate-buffered saline, pH 7.4, upon total protein concentration. Experimental results are interpreted in the context of a model for weak self-association leading to the formation of significant amounts of oligomers at total protein concentrations exceeding 25 g/l.