Enrichment of phosphoproteins for proteomic analysis using immobilized Fe(III)-affinity adsorption chromatography

We described an efficient protocol to strongly enrich phosphoproteins from mixtures of total cellular proteins using homemade, recyclable Fe(III)-affinity columns. An integral feature of the method is the use of a detergent cocktail that allows use of different pHs for total protein extraction (pH 6.8) and for subsequent affinity capture of phosphoproteins (pH 3.4). Affinity captured proteins from rat fibroblasts were fractionated on 2D gels and random selection was identified by mass spectrometry. More than 85% of identified proteins were previously known to be phosphorylated. The specificity of the method was further validated by isolating proteins from (32)P labeled cells. Our comparison of the clusters of acidic residues in the captured proteins with acidic clusters in proteins of the rat genome indicates that affinity for phosphate groups dominates over adsorption of proteins with acidic clusters.     

Ion-exchange and adsorption of Fe(III) by Sepia melanin

Sepia eumelanin is associated with many metal ions, yet little is known about its metal binding capacity and the chemical nature of the binding site(s). Herein, the natural concentrations of metal ions are presented and the ability to remove metals by exposure of the melanin granules to EDTA is quantified. The results reveal that the binding constants of melanin at pH 5.8 for Mg(II), Ca(II), Sr(II) and Cu(II) are, respectively, 5, 4, 14 and 34 times greater than the corresponding binding constants of these ions with EDTA. By exposing Sepia eumelanin to aqueous solutions of FeCl(3), the content of bound Fe(III) can be increased from a natural concentration of approximately 180 ppm to a saturation limit of approximately 80 000 ppm or 1.43 mmol/g of melanin. Similar saturation limits are found for Mg(II) and Ca(II). Exposure of Sepia melanin granules to aqueous solutions containing Ca(II) results in the stoichiometric replacement of the initially bound Mg(II), arguing that these two ions occupy the same binding site(s) in the pigment. The pH-dependent binding of Mg(II) and Ca(II) suggests coordination of these ions to carboxylic acid groups in the pigment. Mg(II) and Ca(II) can be added to a Fe(III)-saturated melanin sample without affecting the amount of Fe(III) pre-adsorbed, clearly establishing Fe(III) and Mg(II)/Ca(II) occupy different binding sites. Taking recent Raman spectroscopic data into account, the binding of Fe(III) is concluded to involve coordination to o-dihydroxyl groups. The effects of metal ion content on the surface morphology were analyzed. No significant changes were found over the full range of Fe(III) concentration studied, which is supported by the Brunauer-Emmett-Teller surface area analysis. These observations imply the existence of channels within the melanin granules that can serve to transport metal ions.     

Optimization of phosphopeptide elution conditions in immobilized Fe(III) affinity chromatography

While immobilized metal affinity chromatography (IMAC) has been widely used for affinity purification of phosphopeptides, the technique suffers from insufficient specificity. Therefore, there is an urgent need for IMAC optimization to yield the selectivity and sensitivity that is required for more challenging analyses. Recently, 2,5-dihydroxybenzoic acid (DHB) and phosphoric acid mixture has been reported as an efficient IMAC eluant. The disadvantage of DHB is that is not suitable for electrospray ionization-mass spectrometry. While further developing the IMAC elution protocol to overcome this problem, we noticed that DHB is not necessary and found a novel combination of phosphoric acid and acetonitrile to be more efficient. The purification efficacy of the novel protocol is superior to all previously described methods, while still being compatible with the most commonly used mass-spectrometric techniques in phosphoproteomics.     

Histochemical demonstration of prolactin binding sites

We have developed a new probe for histochemical demonstration of prolactin binding sites. Ovine prolactin (oPRL) was conjugated with the N-hydroxy-succinimide ester derivative of the fluorochrome 7-amino-4-methylcoumarin-3-acetic acid. Under mild reaction conditions the ester derivative reacted with available NH2 groups of the prolactin molecule to form stable bonds. The coupling reaction yielded products that co-migrated with oPRL but had slightly decreased isoelectric points. The receptor binding and bioactivity of the flurochrome-hormone derivatives were decreased essentially proportional to the extent of conjugation. The derivatives were further tested for their ability to label PRL binding sites, using frozen sections of mammary gland and brain tissue of lactating rats. The results presented in this report describe the validation of this probe with regard to labeling of PRL binding sites at the light microscopic level in known target organs (mammary gland and choroid plexus). In addition, this fluorescent probe was used to demonstrate the presence of PRL binding sites at a novel site, the ependymal lining of the third ventricle.     

Iron(III) complexation of Desferrioxamine B encapsulated in apoferritin

The dissociation of apoferritin into subunits at pH 2 followed by its reformation at pH 7.4 in presence of Desferrioxamine B (DFO) gives rise to a solution containing three DFO molecules trapped within the apoferritin (Apo-ferritin:DFO) and DFO molecules outside it. The untrapped DFO molecules in the solution were removed from Apo-ferritin:DFO by exhaustive dialysis until a negligible concentration was confirmed. The addition of Fe(III) to the dialyzed solution of Apo-ferritin:DFO resulted in the appearance of an orange-red color. The UV-Vis spectrum of this solution shows the characteristic absorption of the [DFOFe] complex centered at 425 nm. Following a similar procedure as for DFO, only one molecule of [DFOFe] was trapped in the apoferritin. The above results demonstrate the possibility of encapsulating a large molecule such as DFO in the apoferritin and, more interestingly, the ability of these DFO-encapsulated molecules to react with Fe(III) to give rise to an encapsulated [DFOFe] complex within the apoferritin.     

Enrichment of multiphosphorylated peptides by immobilized metal affinity chromatography using Ga(III)- and Fe(III)-complexes

The detection and identification of O-phosphorylation sites in proteins with mass spectrometry remains a challenge. A common approach to analyse these modifications is to enrich phosphopeptides by immobilized metal affinity chromatography (IMAC) prior to mass spectrometric analysis. In this study two commercially available IMAC kits based on Fe(III)-ions immobilized on magnetic beads and Ga(III)-ions immobilized on a chelate-resin, have been investigated and the binding efficiency of peptide mixtures containing non-phosphorylated, singly, doubly and triply phosphorylated peptides have been tested.     

Adhesion of Dissimilatory Fe(III)-Reducing Bacteria to Fe(III) Minerals

The metabolism of dissimilatory iron-reducing bacteria (DIRB) may provide a means of remediating contaminated subsurface soils. The factors controlling the rate and extent of bacterial F(III) mineral reduction are poorly understood. Recent research suggests that molecular-scale interactions between DIRB cells and Fe(III) mineral particles play an important role in this process. One of these interactions, cell adhesion to Fe(III) mineral particles, appears to be a complex process that is, at least in part, mediated by a variety of surface proteins. This study examined the hypothesis that the flagellum serves as an adhesin to different Fe(III) minerals that range in their surface area and degree of crystallinity. Deflagellated cells of the DIRB Shewanella algae BrY showed a reduced ability to adhere to hydrous ferric oxide (HFO) relative to flagellated cells. Flagellated cells were also more hydrophobic than deflagellated cells. This was significant because hydrophobic interactions have been previously shown to dominate S. algae cell adhesion to Fe(III) minerals. Pre-incubating HFO, goethite, or hematite with purified flagella inhibited the adhesion of S. algae BrY cells to these minerals. Transposon mutagenesis was used to generate a flagellum-deficient mutant designated S. algae strain NF. There was a significant difference in the rate and extent of S. algae NF adhesion to HFO, goethite, and hematite relative to that of S. algae BrY. Amiloride, a specific inhibitor of Na + -driven flagellar motors, inhibited S. algae BrY motility but did not affect the adhesion of S. algae BrY to HFO. S.algae NF reduced HFO at the same rate as S. algae BrY. Collectively, the results of this study support the hypothesis that the flagellum of S. algae functions as a specific Fe(III) mineral adhesin. However, these results suggest that flagellum-mediated adhesion is not requisite for Fe(III) mineral reduction.     

Binding of vasoactive intestinal polypeptide (VIP) by human blood monocytes: demonstration of specific binding sites

Vasoactive intestinal polypeptide (VIP) interaction with a 94% pure preparation of monocytes isolated from human peripheral blood was studied by direct binding technique using 3-[125I]tyrosyl-VIP as a tracer ligand. Scatchard analysis of binding data was compatible with two classes of binding sites, one with Kd = 0.25 nM and maximal binding capacity of 16 fmol/10(6) cells, and another one with Kd = 25 nM and maximal binding capacity of 180 fmol/10(6) cells. The binding was time-, temperature-, and pH-dependent and was saturable, reversible, and specific. This study has demonstrated that human monocytes have high affinity/low capacity as well as low affinity/high capacity binding sites for VIP. No specific VIP binding was found in pure preparations of human granulocytes, platelets or erythrocytes.     

Protein binding to two-dimensional hydrophobic binding-site lattices: adsorption hysteresis on immobilized butyl-residues

Long-lived metastable states involving multiple binding sites of a protein ligand with immobilized alkyl residues on a solid phase can be observed at high ionic strength between butyl agaroses (5.21 μ mol/ml packed gel) and phosphorylase b by perturbations enforcing either the on-reaction (adsorption) or the off-reaction (desorption). These apparent equilibrium states are suggested because the adsorption isotherms of phosphorylase b on butyl agaroses are not retraced by the desorption isotherms. In this first example of macromolecular adsorption hysteresis on immobilized alkyl residues, it can be shown that the irreversible entropy (Δ_iS) produced in an adsorption-desorption cycle lies between 6 (5 μ mol/ml packed gel) and 40 (21 μ mol/ml packed gel) J mol ¹ K⁻¹. For the latter gel the apparent standard entropy of adsorption (Δ_aS_i⁰′) is 160 J mol⁻¹ K⁻¹. The metastable state observed during adsorption is probably due to an energy barrier which must be overcome for the nucleation of protein binding on the matrix. Other metastable states may possibly be encountered during desorption when the adsorbed enzyme resists the breakage of hydrophobic interactions. In the transition from the adsorption branch to the desorption branch of the hysteresis loop, the apparent affinity of the enzyme-matrix interaction is enhanced. For the desorption branch, the apparent association constant of half-maximal saturation corresponds to K_d,0.5′ = 4.2 × 10⁹ ]m⁻¹ as compared to the respective constant of adsorption K_{a, 0.5}′ = 1.6 × 10⁵m⁻¹ (gel: 21μ mol/ml packed gel). Since the area of the hysteresis loops (see also Δ_iS) depends strongly on the density of butyl residues on the gel, it is concluded that the number of alkyl residues interacting with the protein molecule is crucial for the metastable states and hysteresis. It is unlikely that hysteresis is due to the pore structure of the agarose or to nearest neighbour interactions of ligand molecules. Since thermodynamic irreversibility and hysteresis may be encountered when macromolecules, such as proteins, are adsorbed to cell membranes or cell organelles: an analysis and understanding of these phenomena should be of general biological significance.     

Interactions Between Fe(III)-Oxides and Fe(III)-Phyllosilicates During Microbial Reduction 1: Synthetic Sediments

Fe(III)-oxides and Fe(III)-bearing phyllosilicates are the two major iron sources utilized as electron acceptors by dissimilatory iron-reducing bacteria (DIRB) in anoxic soils and sediments. Although there have been many studies on microbial Fe(III)-oxide and Fe(III)-phyllosilicate reduction with both natural and specimen materials, no controlled experimental information is available on the interaction between these two phases when both are available for microbial reduction. In this study, the model DIRB Geobacter sulfurreducens was used to examine the pathways of Fe(III) reduction in Fe(III)-oxide stripped subsurface sediment that was coated with different amounts of synthetic high surface area (HSA) goethite. Cryogenic (12K) ⁵⁷Fe Mössbauer spectroscopy was used to determine changes in the relative abundances of Fe(III)-oxide, Fe(III)-phyllosilicate, and phyllosilicate-associated Fe(II) [Fe(II)-phyllosilicate] in bioreduced samples. Analogous Mössbauer analyses were performed on samples from abiotic Fe(II) sorption experiments in which sediments were exposed to a quantity of exogenous soluble Fe(II) (FeCl₂?2H₂O) comparable to the amount of Fe(II) produced during microbial reduction. A Fe partitioning model was developed to analyze the fate of Fe(II) and assess the potential for abiotic Fe(II)-catalyzed reduction of Fe(III)-phyllosilicates. The microbial reduction experiments indicated that although reduction of Fe(III)-oxide accounted for virtually all of the observed bulk Fe(III) reduction activity, there was no significant abiotic electron transfer between oxide-derived Fe(II) and Fe(III)-phyllosilicatesilicates, with 26–87% of biogenic Fe(II) appearing as sorbed Fe(II) in the Fe(II)-phyllosilicate pool. In contrast, the abiotic Fe(II) sorption experiments showed that 41 and 24% of the added Fe(II) engaged in electron transfer to Fe(III)-phyllosilicate surfaces in synthetic goethite-coated and uncoated sediment. Differences in the rate of Fe(II) addition and system redox potential may account for the microbial and abiotic reaction systems. Our experiments provide new insight into pathways for Fe(III) reduction in mixed Fe(III)-oxide/Fe(III)-phyllosilicate assemblages, and provide key mechanistic insight for interpreting microbial reduction experiments and field data from complex natural soils and sediments.     

Mn(III)-containing acid phosphatase: Properties of Fe(III)-substituted enzyme and function of Mn(III) and Fe(III) in plant and mammalian acid phosphatases

The function of Mn(III) in plant acid phosphatase has been investigated by a metal-substitution study, and some properties of the Fe(III)-substituted enzyme were compared with those of the native Mn(III) enzyme and mammalian Fe(III)-containing acid phosphatases. ¹⁹F nuclear magnetic resonance (NMR) and proton relaxation rate measurements showed that inhibitors such as F⁻ and nitrilotriacetic acid interact with paramagnetic Mn(III) active site. The ³¹P-NMR signal of the enzyme-phosphate complex was also broadened by the paramagnetic effect of Mn(III). In the metal-substitution experiments of the Mn(III)-acid phosphatase with Fe(III), Zn(II) and Cu(II), only the iron gave satisfactory substitution. The Fe(III)-substituted plant acid phosphatase exhibited an absorption maximum at 525 nm (ε = 3000), typical high spin ferric ESR signal at g = 4.39, and lower pH optimum (pH 4.8) than the native Mn(III)-enzyme (pH 5.8). The phosphatase activity of the Fe(III)-substituted enzyme was reduced to about 53% of that of the native enzyme. The substrate specificities of both metallophosphatases were remarkably similar, but different from that of the Fe(III)-containing uteroferrin. The present results indicate that Mn(III) and Fe(IIII) in the acid phosphatase play an important role on effective binding of phosphate and acceleration of hydrolysis of phosphomonoesters at pH 4–6.     

Influence of Biogenic Fe(II) on Bacterial Crystalline Fe(III) Oxide Reduction

Bacterial crystalline Fe(III) oxide reduction has the potential to significantly influence the biogeochemistry of anaerobic sedimentary environments where crystalline Fe(III) oxides are abundant relative to poorly crystalline (amorphous) phases. A review of published data on solid-phase Fe(III) abundance and speciation indicates that crystalline Fe(III) oxides are frequently 2- to S 10-fold more abundant than amorphous Fe(III) oxides in shallow subsurface sediments not yet subjected to microbial Fe(III) oxide reduction activity. Incubation experiments with coastal plain aquifer sediments demonstrated that crystalline Fe(III) oxide reduction can contribute substantially to Fe(II) production in the presence of added electron donors and nutrients. Controls on crystalline Fe(III) oxide reduction are therefore an important consideration in relation to the biogeochemical impacts of bacterial Fe(III) oxide reduction in subsurface environments. In this paper, the influence of biogenic Fe(II) on bacterial reduction of crystalline Fe(III) oxides is reviewed and analyzed in light of new experiments conducted with the acetate-oxidizing, Fe(III)-reducing bacterium (FeRB) Geobacter metallireducens . Previous experiments with Shewanella algae strain BrY indicated that adsorption and/or surface precipitation of Fe(II) on Fe(III) oxide and FeRB cell surfaces is primarily responsible for cessation of goethite ( f -FeOOH) reduction activity after only a relatively small fraction (generally < 10%) of the oxide is reduced. Similar conclusions are drawn from analogous studies with G. metallireducens . Although accumulation of aqueous Fe(II) has the potential to impose thermodynamic constraints on the extent of crystalline Fe(III) oxide reduction, our data on bacterial goethite reduction suggest that this phenomenon cannot universally explain the low microbial reducibility of this mineral. Experiments examining the influence of exogenous Fe(II) (20 mM FeCl 2 ) on soluble Fe(III)-citrate reduction by G. metallireducens and S. algae showed that high concentrations of Fe(II) did not inhibit Fe(III)-citrate reduction by freshly grown cells, which indicates that surface-bound Fe(II) does not inhibit Fe(III) reduction through a classical end-product enzyme inhibition mechanism. However, prolonged exposure of G. metallireducens and S. algae cells to high concentrations of soluble Fe(II) did cause inhibition of soluble Fe(III) reduction. These findings, together with recent documentation of the formation of Fe(II) surface precipitates on FeRB in Fe(III)-citrate medium, provide further evidence for the impact of Fe(II) sorption by FeRB on enzymatic Fe(III) reduction. Two different, but not mutually exclusive, mechanisms whereby accumulation of Fe(II) coatings on Fe(III) oxide and FeRB surfaces may lead to inhibition of enzymatic Fe(III) oxide reduction activity (in the absence of soluble electron shuttles and/or Fe(III) chelators) are identified and discussed in relation to recent experimental work and theoretical considerations.     

The metallomics approach: use of Fe(II) and Cu(II) footprinting to examine metal binding sites on serum albumins

Metal binding to serum albumins is examined by oxidative protein-cleavage chemistry, and relative affinities of multiple metal ions to particular sites on these proteins were identified using a fast and reliable chemical footprinting approach. Fe(ii) and Cu(ii), for example, mediate protein cleavage at their respective binding sites on serum albumins, in the presence of hydrogen peroxide and ascorbate. This metal-mediated protein-cleavge reaction is used to evaluate the binding of metal ions, Na(+), Mg(2+), Ca(2+), Al(3+), Cr(3+), Mn(2+), Co(2+), Ni(2+), Zn(2+), Cd(2+), Hg(2+), Pb(2+), and Ce(3+) to albumins, and the relative affinities (selectivities) of the metal ions are rapidly evaluated by examining the extent of inhibition of protein cleavage. Four distinct systems Fe(II)/BSA, Cu(II)/BSA, Fe(II)/HSA and Cu(II)/HSA are examined using the above strategy. This metallomics approach is novel, even though the cleavage of serum albumins by Fe(II)/Cu(II) has been reported previously by this laboratory and many others. The protein cleavage products were analyzed by SDS PAGE, and the intensities of the product bands quantified to evaluate the extent of inhibition of the cleavage and thereby evaluate the relative binding affinities of specific metal ions to particular sites on albumins. The data show that Co(II) and Cr(III) showed the highest degree of inhibition, across the table, followed by Mn(II) and Ce(III). Alakali metal ions and alkaline earth metal ions showed very poor affinity for these metal sites on albumins. Thus, metal binding profiles for particular sites on proteins can be obtained quickly and accurately, using the metallomics approach.     

Selective adsorption of proteins to their ligands covalently immobilized onto microfibers

Following ozone oxidation of polyester microfibers of 3.5 mum average diameter and 0.83 m(2)/g specific area, the fiber surface was subjected to graft polymerization of acrylic acid and subsequently immobilized with serologically active proteins including Staphylococcus aureus protein A, a specific antigen, and a specific antibody. The immobilization reaction was mediated by a watersoluble carbodiimide, which allowed formation of a co-valent linkage between the ligand proteins and the grafted poly(acrylic acid)chains. The yields of the immobilized ligand proteins were of the order of 1 mg/g fiber. Their binding affinity and capacity to respective specific proteins were studied in vitro from a buffered solution and serum. It was found that the specific proteins were selectively adsorbed with dissociation constants as low as 1x 10(-6) M, suggesting the adsorption to take place through highly specific protein-protein interaction. An addition of serum albumin did not significantly affect the specific binding, regardless of the ligand proteins. The binding capacity ranged from 1 x 10(-13) to 1x 10(-11) mol/cm(2) primarily depending on the surface density of the immobilized ligands and the number of their binding sites per molecule. (c) 1995 John Wiley & Sons Inc.     

Evaluation of Fe(III)EDTA and Fe(II)EDTA-NO reduction in a NO x scrubber solution by magnetic Fe3O4-chitosan microspheres immobilized microorganisms

A two-stage bioreduction system containing magnetic-microsphere-immobilized denitrifying bacteria and iron-reducing bacteria was developed for the regeneration of scrubbing solutions for NO _x removal. In this process, a higher bioreduction rate and a better tolerance of inhibition of bacteria were achieved with immobilized bacteria than with free bacteria. This work focused on evaluation of the effects of the main components in the scrubbing solution on Fe(III)EDTA (EDTA: ethylenediaminetetraacetate) and Fe(II)EDTA-NO reduction, with an emphasis on mass transfer and the kinetic model of Fe(III)EDTA and Fe(II)EDTA-NO reduction by immobilized bacteria. It was found that Fe(II)EDTA-NO had a strong inhibiting effect, but Fe(II)EDTA had no effect, on Fe(III)EDTA reduction. Fe(II)EDTA accelerated Fe(II)EDTA-NO reduction, whereas Fe(III)EDTA had no effect. This showed that the use of the two stages of regeneration was necessary. Moreover, the effect of internal diffusion on Fe(III)EDTA and Fe(II)EDTANO reduction could be neglected, and the rate-limiting step was the bioreduction process. The reduction of Fe(III)EDTA and Fe(II)EDTA-NO using immobilized bacteria was described by a first-order kinetic model. Bioreduction can therefore be enhanced by increasing the cell density in the magnetic chitosan microspheres.     

Interactions Between Fe(III)-oxides and Fe(III)-phyllosilicates During Microbial Reduction 2: Natural Subsurface Sediments

Dissimilatory microbial reduction of solid-phase Fe(III)-oxides and Fe(III)-bearing phyllosilicates (Fe(III)-phyllosilicates) is an important process in anoxic soils, sediments and subsurface materials. Although various studies have documented the relative extent of microbial reduction of single-phase Fe(III)-oxides and Fe(III)-phyllosilicates, detailed information is not available on interaction between these two processes in situations where both phases are available for microbial reduction. The goal of this research was to use the model dissimilatory iron-reducing bacterium (DIRB) Geobacter sulfurreducens to study Fe(III)-oxide vs. Fe(III)-phyllosilicate reduction in a range of subsurface materials and Fe(III)-oxide stripped versions of the materials. Low-temperature (12 K) Mossbauer spectroscopy was used to infer changes in the relative abundances of Fe(III)-oxide, Fe(III)-phyllosilicate, and phyllosilicate-associated Fe(II) (Fe(II) phyllosilicate). A Fe partitioning model was employed to analyze the fate of Fe(II) and assess the potential for abiotic Fe(II)-catalyzed reduction of Fe(III)-phyllosilicates. The results showed that in most cases Fe(III)-oxide utilization dominated (70–100%) bulk Fe(III) reduction activity, and that electron transfer from oxide-derived Fe(II) played only a minor role (ca. 10–20%) in Fe partitioning. In addition, the extent of Fe(III)-oxide reduction was positively correlated to surface area-normalized cation exchange capacity and the Fe(III)-phyllosilicate/total Fe(III) ratio. This finding suggests that the phyllosilicates in the natural sediments promoted Fe(III)-oxide reduction by binding of oxide-derived Fe(II), thereby enhancing Fe(III)-oxide reduction by reducing or delaying the inhibitory effect that Fe(II) accumulation on oxide and DIRB cell surfaces has on Fe(III)-oxide reduction. In general our results suggest that although Fe(III)-oxide reduction is likely to dominate bulk Fe(III) reduction in most subsurface sediments, Fe(II) binding by phyllosilicates is likely to play a key role in controlling the long-term kinetics of Fe(III) oxide reduction     

Heparin binding to antithrombin III: Variation in binding sites and affinity

Heparin fractions of different molecular weights and anticoagulant activities were prepared by chromatography on protamine-Sepharose, and the association constants and stoichiometry for binding to antithrombin III were determined by measurement of enhancement of tryptophan fluorescence. A 7,900 molecular weight heparin preparation bound to antithrombin III with a stoichiometry of close to 2:1, whereas 14,300 and 21,600 molecular weight fractions bound at approximately 1:1 with the protein. Apparent association constants were 0.66 × 10⁶ M^?1 for the low molecular weight preparation and 2.89 × 10⁶ M^?1 for the high molecular weight material. Maximal fluorescence enhancement was greater with the higher molecular weight heparin. These results suggest a model of heparin-antithrombin III binding in which two sites on antithrombin III can accommodate one large heparin molecule with high affinity or two smaller molecules with low affinity.