Three-state denaturation of alpha-lactalbumin by guanidine hydrochloride.

The reversible unfolding of α-lactalbumin by guanidine hydrochloride has been studied at 25.0 °C by means of ultraviolet circular dichroism measurements. The non-coincidence of the apparent transition curves obtained from the ellipticity changes at far (222 nm) and at near (270 nm and 296 nm) ultraviolet wave-lengths demonstrates the presence of at least one intermediate in the denaturation process. The aromatic residues which contribute to the Cotton effects at 270 nm and at 296 nm appear to be exposed to solvent in the first stage of a two-stage process, while the helical regions of the polypeptide chain appear to be destroyed in the second stage. Earlier work has demonstrated an acid transition between two compact forms of α-lactalbumin, a native (neutral pH) form and an acid form. Results presented here suggest that the acid form is produced as an intermediate in the first stage of total unfolding at neutral pH.Lysozyme and α-lactalbumin are known to have similar primary structures and are expected to have similar tertiary structures, but several differences in their properties have been described. The comparison of the unfolding transitions of α-lactalbumin and lysozyme provides a result compatible with similar tertiary structures, although the free energy of stabilization of the native state is 3 to 5 kcal/mol smaller for α-lactalbumin than for lysozyme. The pH dependence of the unfolding reaction can be described in terms of abnormal histidyl and carboxyl residues. The presence of a stable intermediate in the denaturation process may cause a difference in dynamic character in the native state between the two proteins and thus provide a reasonable interpretation for their known differences in chemical reactivity.     

Equimolar Mixture of 2,2,2-Trifluoroethanol and 4-Chloro-1-butanol is a Stronger Inducer of Molten Globule State: Isothermal Titration Calorimetric and Spectroscopic Studies

A mixture of 4-chloro-1-butanol and 2,2,2-Trifluoroethanol (TFE) has been used to generate Molten globule (MG) state of structurally homologous but functionally different proteins bovine α-lactalbumin and hen egg-white lysozyme. The thermal denaturation was done using UV–Visible spectroscopy. From UV–Visible profile, thermal transition was not observed beyond a particular concentration. There was an indication of molten globule state in case of α-lactalbumin from circular dichroism experiments. By intrinsic tryptophan fluorescence, acrylamide and potassium iodide quenching, 8-anilino-naphthalene sulfonic acid (ANS) binding and energy transfer studies the presence of molten globule state was confirmed. Quantitative characterization of MG state and determining the binding thermodynamics of ANS to the MG state was done using Isothermal Titration Calorimetry (ITC). Results show that α-lactalbumin exists in MG state at a particular concentration but lysozyme does not show features of MG state.     

The superreactive disulfide bonds in α-lactalbumin and lysozyme

The disulfide reduction kinetics in equine lysozyme (ELZ), which is a Ca²⁺-binding lysozyme, and human (HLA) and equineα-lactalbumin (ELA) at pH 8.5 and 25°C by excess dithiothreitol were studied, and it was found that in ELZ there is no superreactive disulfide bond, while one of the disulfides is reduced very quickly by the reducing agent in HLA and ELA, as in bovineα-lactalbumin. The local conformation around the surface disulfide in ELZ seems to be more similar to that in hen egg-white lysozyme than inα-lactalbumin. The four disulfides in ELZ were reduced slowly in an apparently single-exponential form, and the bound Ca²⁺ lowered the reduction rate. The torsion energy on each of the disulfides in threeα-lactalbumin and eight c-type lysozymes whose native conformations have been experimentally or theoretically analyzed was calculated, and it was found that torsion imposed on the surface disulfide between Cys 6 and Cys 120 inα-lactalbumin is a main cause of the superreactivity and all of lysozymes, including the Ca²⁺-binding ones, have no such strained surface bond.     

Is the molten globule a third thermodynamic state of protein? The example of α-lactalbumin

Thermal and denaturant-induced transitions of the acid molten globule state of bovine α-lactalbumin (acid [A] state) are analyzed by scanning calorimetry, titration calorimetry, viscosimetry, and derivative spectroscopy. A denaturant-induced heat effect of the A state is shown by a calorimetric difference titration of the A-state versus unfolded (reduced) α-lactalbumin. However, changes of viscosity and derivative spectra do not parallel the heat effect. At thermal denaturation monitored by derivative spectroscopy and scanning microcalorimetry the presence of a gradual transition in α-lactalbumin A state is shown. The results are consistent with the existence of tertiary interactions in the A state and the absence of a cooperative unfolding transition of the molten globule. The results do not support the idea that the molten globule is a third thermodynamic state. Proteins 30:43–48, 1998. © 1998 Wiley-Liss, Inc.     

Aspects Physico-chimiques de L’assimilation des Hydrocarbures par Candida lipolytica

The proposed similarity of conformation between α-lactalbumin (α-LA) and hen egg-white lysozyme was tested by the comparison of the thermodynamic parameters obtained from the temperature dependence of denaturation. For the denaturing reaction by guanidine hydrochloride, the value of ΔC_P for α-LA is almost identical with that for lysozyme, which suggests that the amount of the hydrophobic side chains buried in the interior of the molecule is the same in the native state ; the value of ΔH° and ΔS° for α-LA are also close to those for lysozyme, and the small differences are explicable by the proposed molecular model of α-LA, which implies that the somewhat large difference in ΔG° observed previously between the two proteins does not originate from large conformational differences. These results support the conformational similarity between α-LA and lysozyme as represented by the molecular model. The heat-denatured state of α-LA is also characterized by the parameters and discussed.     

Rates of structural fluctuations of lysozyme in the range of thermal unfolding transition

The hydrogen–deuterium exchange reaction for the tryptophan residues in lysozyme have been followed in 4.5M LiBr at pH 7.2 in the temperature range of the unfolding transition by measuring the transmittance change at 293 nm. The exchange reaction proceeded in three phases at low temperature for native protein. The first and the second phases were ascribed to the H-D exchange reactions of three relatively exposed tryptophan residues on the molecular surface. The third phase corresponded to the H-D exchange reaction of the three tryptophan residues buried in the interior of the molecule. The H-D exchange reaction proceeded in two phases near the melting temperature and in a single phase at high temperature, where almost all molecules are unfolded. The H-D exchange of three tryptophan residues buried in folded molecules was caused by fluctuation between the folded and unfolded structure of the protein molecule. The rates of such a fluctuation were determined from the rates of the exchange reaction at various temperatures. These rates agreed very well with those determined from the temperature-jump method. This means that a protein molecule in solution fluctuates between the N- and D-states at every temperature within the transition region, where the N-form is the tightly folded native structure and the D-form the randomly coiled chain. From measurements of thermal unfolding of ester-108-lysozyme and the binding constant of (NAG)₃ to ester-108-lysozyme, it was found that almost all cross-linked molecules are in the folded state near 50°C and pH 7.2 in 4.5M LiBr, where intact molecules are unfolded. We also studied the H-D exchange reaction of ester-108-lysozyme. In the temperature region of 43–50°C, about 70% of the exchangeable tryptophan residues of ester-108-lysozyme were exchanged within 1 s immediately after the mixing of D₂O, in spite of the fact that almost all molecules are in the folded state. This was considered the premelting of the surface of a corss-linked molecule.     

Computer analyses of characteristic infrared bands of globular proteins.

Infrared spectra of myoglobin, ribonuclease, lysozyme, α-chymotrypsin, α-lactalbumin, and β-lactoglobulin A were obtained in deuterium oxide solution in units of absorbance versus wavenumber from 1340 to 1750 cm^?1. The spectra were resolved into Gaussian components by means of an iterative computer program. Resolved characteristic absorption peaks for the two infrared active amide I′ components of antiparallel chain-pleated sheets (β-structure) were obtained. The characteristic amide I′ peaks of α-helical regions and apparently unordered regions overlap in D₂O solution. Absorptivity values for the resolved β-structure peak around 1630 cm^?1 were estimated on the basis of the known structure of ribonuclease, lysozyme, and β-chymotrypsin. The β-structure content of β-lactoglobulin was estimated to be ca. 48% of α-lactalbumin ca. 18%, and of α_s-casein close to zero. The results are in general agreement with conclusions drawn from circular dichroism and optical rotatory dispersion studies.     

Fluctuation of the lysozyme structure

The kinetics of hydrogen-deuterium exchange in hen egg-white lysozyme (muramidase) has been followed in aqueous solutions of various pH values and in solutions with various concentrations of lithium chloride, by an infrared absorption measurement. It was found that, in every case, 34% of the total peptide hydrogen atoms exchange relatively slowly with a rate of a first-order reaction. This amount corresponds to 44 peptide groups per molecule, and this is equal to the number of peptide NH-groups which are found to be involved in hydrogen bonds with the carbonyls of other peptide groups in the lysozyme molecule in the crystalline state. Each rate constant determined is in good agreement with the value expected from two simple assumptions. (1) The scheme of the isotope exchange reaction is N ? D → D^∗ (? N^∗), where N is the native form of the molecule, D a denatured (unfolded) form, and ∗ indicates the deuterated products. (2) The N ? D fluctuation rate is much higher than the rate of the isotope exchange reaction D → D^∗. It has been shown that the N ? D transition postulated here is the same as that which can be followed by circular dichroism measurement and by some other physical measurements. The effect of lithium chloride on the exchange reaction rate is solely attributable to the change in the N ? D equilibrium caused by the salt, whereas the effect of pH (in the 5 to 8 range) is wholly ascribed to the catalytic action of the OH⁻ anion on the D → D^∗ reaction rate. From the deuterium exchange rate observed, an effective value of the mole fraction of the D form is estimated to be 3 × 10⁻⁶in the solution with no lithium chloride at 20 °C and of pH = 5 to 8.     

Equilibrium and kinetic folding of hen egg-white lysozyme under acidic conditions

The equilibrium and kinetic folding of hen egg-white lysozyme was studied by means of circular dichroism spectra in the far- and near-ultraviolet (UV) regions at 25 degrees C under the acidic pH conditions. In equilibrium condition at pH 2.2, hen lysozyme shows a single cooperative transition in the GdnCl-induced unfolding experiment. However, in the GdnCl-induced unfolding process at lower pH 0.9, a distinct intermediate state with molten globule characteristics was observed. The time-dependent unfolding and refolding of the protein were induced by concentration jumps of the denaturant and measured by using stopped-flow circular dichroism at pH 2.2. Immediately after the dilution of denaturant, the kinetics of refolding shows evidence of a major unresolved far-UV CD change during the dead time (<10 ms) of the stopped-flow experiment (burst phase). The observed refolding and unfolding curves were both fitted well to a single-exponential function, and the rate constants obtained in the far- and near-UV regions coincided with each other. The dependence on denaturant concentration of amplitudes of burst phase and both rate constants was modeled quantitatively by a sequential three-state mechanism, U<-->I<-->N, in which the burst-phase intermediate (I) in rapid equilibrium with the unfolded state (U) precedes the rate-determining formation of the native state (N). The role of folding intermediate state of hen lysozyme was discussed.     

Comparison of the enthalpy state of vesicles of different size by their interaction with α-lactalbumin

The characteristics of small unilamellar, large unilamellar and large multilamellar vesicles of dimyristoylphosphatidylcholine and their interaction with α-lactalbumin are compared at pH 4. (1) By differential scanning calorimetry and from steady-state fluorescence anisotropy data of the lipophilic probe 1,6-diphenyl-1,3,5-hexatriene it is shown that the transition characteristics of the phospholipids in the large unilamellar vesicles resemble more those of the multilamellar vesicles than of the small unilamellar vesicles. (2) The size and composition of the lipid-protein complex formed with α-lactalbumin around the transition temperature of the lipid are independent of the vesicle type used. Fluorescence anisotropy data indicate that in this complex the motions of the lipid molecules are strongly restricted in the presence of α-lactalbumin. (3) The previous data and a comparison of the enthalpy changes, $\text{ΔH}$, of the interaction of the three vesicle types with α-lactalbumin allow us to derive that the enthalpy state of the small unilamellar vesicles just below 24°C is about 24 kJ/mol lipid higher than the enthalpy state of both large vesicle types at the same temperature. The abrupt transition from endothermic to exothermic $\text{ΔH}$ values around 24°C for large vesicles approximates the transition enthalpy of the pure phospholipid     

Sequential four-state folding/unfolding of goat α-lactalbumin and its N-terminal variants

Equilibria and kinetics of folding/unfolding of α-lactalbumin and its two N-terminal variants were studied by circular dichroism spectroscopy. The two variants were wild-type recombinant and Glu1-deletion (E1M) variants expressed in Escherichia coli. The presence of an extra methionine at the N terminus in recombinant α-lactalbumin destabilized the protein by 2 kcal/mol, while the stability was recovered in the E1M variant in which Glu1 was replaced by Met1. Kinetic folding/unfolding reactions of the proteins, induced by stopped-flow concentration jumps of guanidine hydrochloride, indicated the presence of a burst-phase in refolding, and gave chevron plots with significant curvatures in both the folding and unfolding limbs. The folding-limb curvature was interpreted in terms of accumulation of the burst-phase intermediate. However, there was no burst phase observed in the unfolding kinetics to interpret the unfolding-limb curvature. We thus assumed a sequential four-state mechanism, in which the folding from the burst-phase intermediate takes place via two transition states separated by a high-energy intermediate. We estimated changes in the free energies of the burst-phase intermediate and two transition states, caused by the N-terminal variations and also by the presence of stabilizing calcium ions. The Φ values at the N terminus and at the Ca(2+)-binding site thus obtained increased successively during folding, demonstrating the validity of the sequential mechanism. The stability and the folding behavior of the E1M variant were essentially identical to those of the authentic protein, allowing us to use this variant as a pseudo-wild-type α-lactalbumin in future studies.     

Exploring subdomain cooperativity in T4 lysozyme II: uncovering the C-terminal subdomain as a hidden intermediate in the kinetic folding pathway

Intermediates along a protein's folding pathway can play an important role in its biology. Previous kinetics studies have revealed an early folding intermediate for T4 lysozyme, a small, well-characterized protein composed of an N-terminal and a C-terminal subdomain. Pulse-labeling hydrogen exchange studies suggest that residues from both subdomains contribute to the structure of this intermediate. On the other hand, equilibrium native state hydrogen experiments have revealed a high-energy, partially unfolded form of the protein that has an unstructured N-terminal subdomain and a structured C-terminal subdomain. To resolve this discrepancy between kinetics and equilibrium data, we performed detailed kinetics analyses of the folding and unfolding pathways of T4 lysozyme, as well as several point mutants and large-scale variants. The data support the argument for the presence of two distinct intermediates, one present on each side of the rate-limiting transition state barrier. The effects of circular permutation and site-specific mutations in the wild-type and circular permutant background, as well as a fragment containing just the C-terminal subdomain, support a model for the unfolding intermediate with an unfolded N-terminal and a folded C-terminal subdomain. Our results suggest that the partially unfolded form identified by native state hydrogen exchange resides on the folded side of the rate-limiting transition state and is, therefore, under most conditions, a "hidden" intermediate.     

Molecular basis of cooperativity in protein folding. V. Thermodynamic and structural conditions for the stabilization of compact denatured states

The heat-denatured state of proteins has been usually assumed to be a fully hydrated random coil. It is now evident that under certain solvent conditions or after chemical or genetic modifications, the protein molecule may exhibit a hydrophobic core and residual secondary structure after thermal denaturation. This state of the protein has been called the “compact denatured” or “molten globule” state. Recently is has been shown that α-lactalbumin at pH < 5 denatures into a molten globule state upon increasing the temperature (Griko, Y., Freire, E., Privalov, P. L. Biochemistry 33:1889–1899, 1994). This state has a lower heat capacity and a higher enthalpy at low temperatures than the unfolded state. At those temperatures the stabilization of the molten globule state is of an entropic origin since the enthalpy contributes unfavorably to the Gibbs free energy. Since the molten globule is more structured than the unfolded state and, therefore, is expected to have a lower configurational entropy, the net entropic gain must originate primarily from solvent related entropy arising from the hydrophobic effect, and to a lesser extent from protonation or electrostatic effects. In this work, we have examined a large ensemble of partly folded states derived from the native structure of α-lactalbumin in order to identify those states that satisfy the energetic criteria of the molten globule. It was found that only few states satisfied the experimental constraints and that, furthermore, those states were part of the same structural family. In particular, the regions corresponding to the A, B, and C helices were found to be folded, while the β sheet and the D helix were found to be unfolded. At temperatures below 45°C the states exhibiting those structural characteristics are enthalpically higher than the unfolded state in agreement with the experimental data. Interestingly, those states have a heat capacity close to that observed for the acid pH compact denatured state of α-lactalbumin [980 cal (mol.K)^?l]. In addition, the folded regions of these states include those residues found to be highly protected by NMR hydrogen exchange experiments. This work represents an initial attempt to model the structural origin of the thermodynamic properties of partly folded states. The results suggest a number of structural features that are consistent with experimental data. © 1994 Wiley-Liss, Inc.     

Heat of denaturation of lysozyme

The enthalpy of denaturation of lysozyme was determined by measuring the heat, capacity of an aqueous solution of this protein in the vicinity of the transition temperature, 46 °C at pH 1. Within experimental error the calorimetric, heat (56 ± 8 kcal/mole) was found to agree with the van't Hoff transition enthalpy (63 ± 6 kcal/mole) determined from optical rotation measurements as a function of temperature. This indicates that denaturation of this protein can be interpreted in terms of a two-state model. Successive measurements of the same sample showed, from several lines of evidence, that the transition was about 80% reversible for the particular environmental conditions and thermal history involved in the study.     

Calorimetric evidence for a native-like conformation of hen egg-white lysozyme dissolved in glycerol

Hen egg-white lysozyme, lyophilized from aqueous solutions of different pH (from pH 2.5 to 10.0) and then dissolved in water and in anhydrous glycerol, has been studied by high-sensitivity differential scanning microcalorimetry over the temperature range from 10 to 150 degrees C. All lysozyme samples exhibit a cooperative conformational transition in both solvents occurring between 10 and 100 degrees C. The transition temperatures in glycerol are similar to those in water at the corresponding pHs. The transition enthalpies in glycerol are substantially lower than in water but follow similar pH dependences. The transition heat capacity increment in glycerol does not depend on the pH and is 1.25+/-0.31 kJ mol(-1) K(-1), which is less than one fifth of that in water (6. 72+/-0.23 kJ mol(-1) K(-1)). The thermal transition in glycerol is reversible and equilibrium, as demonstrated for the pH 8.0 sample, and follows the classical two-state mechanism. In contrast to lysozyme in water, the protein dissolved in glycerol undergoes an additional, irreversible cooperative transition with a marginal endothermic heat effect at temperatures of 120-130 degrees C. The transition temperature of this second transition increases with the heating rate which is characteristic of kinetically controlled processes. Thermodynamic analysis of the calorimetric data reveals that the stability of the folded conformation of lysozyme in glycerol is similar to that in water at 20-80 degrees C but exceeds it at lower and higher temperatures. It is hypothesized that the thermal unfolding in glycerol follows the scheme: N ifho-MG-->U, where N is a native-like conformation, ho-MG is a highly ordered molten globule state, and U is the unfolded state of the protein.     

Free Radical Induced Degradation of 1, 2-Dibromoethane. Generation of Free Br+ Atoms

Intramolecular electron transfer in hen egg-white lysozyme between tryptophan and tyrosine units was investigated by means of pulse radiolysis in the temperature range 288–333 K. An Arrhenius plot for the kinetics of this process shows a sharp break at ～303 K (30°C) compatible with the trend noted earlier (cf P. Jolles, et al. BBA. 491. 354. (1977)) on the Arrhenius plot for kinetics of bacterial substrate digestion by lysozyme. The departure from linearity of the Arrhenius plot for intramolecular electron transfer is interpreted in terms of local intralobe fluctuations of the native structure of lysozyme. It is suggested that such an approach can be useful for probing predenaturational changes in proteins.     

Role of His101 in the Protein Folding/Unfolding of a Goose-Type Lysozyme from Ostrich (<Emphasis Type="Italic">Struthio camelus</Emphasis>) Egg White

To understand the role of His101 in protein structure stabilization of goose-type (G-type) lysozyme, we conducted thermal unfolding/refolding experiments using native G-type lysozyme from ostrich egg white (nOEL), the recombinant G-type lysozyme (rOEL), and the mutant lysozyme, in which His101 is mutated to alanine (H101A-OEL). Thermal stability on lytic activity and in-gel refolding experiments provided similar profiles for all three OELs. Circular dichroism (CD) spectroscopy was used to determine the secondary structure of three OELs as a function of temperature. Unfolding/refolding experiments (30–90 °C) monitored by CD spectroscopy revealed an unfolding transition at 65–67 °C and a complete refolding at almost the same temperature. Notably, a slightly lower thermal stability was observed for H101A-OEL, corresponding to the calculated difference in transition free energy of thermal unfolding (??G _m) between rOEL and H101A-OEL of ?0.63 kcal/mol. To assess the effects of H101A mutation on the electrostatic behavior, we examined the pH-activity profile of the three OELs. nOEL and rOEL exhibit bimodal relationship between pH and lytic activity showing optima at pH 3.0 and 7.0, while optima for H101A-OEL activity were pH 4.0 and 6.0. Electrostatic environment surrounding His101 was affected by the H101A mutation resulting in the slightly lower thermal stability.     

pH-dependent urea-induced unfolding of stem bromelain: Unusual stability against urea at neutral pH

Equilibrium unfolding of stem bromelain (SB) with urea as a denaturant has been monitored as a function of pH using circular dichroism and fluorescence emission spectroscopy. Urea-induced denaturation studies at pH 4.5 showed that SB unfolds through a two-state mechanism and yields ΔG (free energy difference between the fully folded and unfolded forms) of ∼5.0 kcal/mol and C _m (midpoint of the unfolding transition) of ∼6.5 M at 25°C. Very high concentration of urea (9.5 M) provides unusual stability to the protein with no more structural loss and transition to a completely unfolded state.     

Different Folding Pathways Taken by Highly Homologous Proteins, Goat α-Lactalbumin and Canine Milk Lysozyme

Is the folding pathway conserved in homologous proteins? To address this question, we compared the folding pathways of goat α-lactalbumin and canine milk lysozyme using equilibrium and kinetic circular dichroism spectroscopy. Both Ca²⁺-binding proteins have 41% sequence identity and essentially identical backbone structures. The Φ-value analysis, based on the effect of Ca²⁺ on the folding kinetics, showed that the Ca²⁺-binding site was well organized in the transition state in α-lactalbumin, although it was not yet organized in lysozyme. Equilibrium unfolding and hydrogen-exchange 2D NMR analysis of the molten globule intermediate also showed that different regions were stabilized in the two proteins. In α-lactalbumin, the Ca²⁺-binding site and the C-helix were weakly organized, whereas the A- and B-helices, both distant from the Ca²⁺-binding site, were well organized in lysozyme. The results thus provide an example of highly homologous proteins taking different folding pathways. To understand the molecular origin of this difference, we investigated the native three-dimensional structures of the proteins in terms of non-local contact clusters, a parameter based on the residue-residue contact map and known to be well correlated with the folding rate of non-two-state proteins. There were remarkable differences between the proteins in the distribution of the non-local contact clusters, and these differences provided a reasonable explanation of the observed difference in the folding initiation sites. In conclusion, the protein folding pathway is determined not only by the backbone topology but also by the specific side-chain interactions of contacting residues.     

Structure and function of human α-lactalbumin made lethal to tumor cells (HAMLET)-type complexes

Human α-lactalbumin made lethal to tumor cells (HAMLET) and equine lysozyme with oleic acid (ELOA) are complexes consisting of protein and fatty acid that exhibit cytotoxic activities, drastically differing from the activity of their respective proteinaceous compounds. Since the discovery of HAMLET in the 1990s, a wealth of information has been accumulated, illuminating the structural, functional and therapeutic properties of protein complexes with oleic acid, which is summarized in this review. In vitro, both HAMLET and ELOA are produced by using ion-exchange columns preconditioned with oleic acid. However, the complex of human α-lactalbumin with oleic acid with the antitumor activity of HAMLET was found to be naturally present in the acidic fraction of human milk, where it was discovered by serendipity. Structural studies have shown that α-lactalbumin in HAMLET and lysozyme in ELOA are partially unfolded, 'molten-globule'-like, thereby rendering the complexes dynamic and in conformational exchange. HAMLET exists in the monomeric form, whereas ELOA mostly exists as oligomers and the fatty acid stoichiometry varies, with HAMLET holding an average of approximately five oleic acid molecules, whereas ELOA contains a considerably larger number (11- 48). Potent tumoricidal activity is found in both HAMLET and ELOA, and HAMLET has also shown strong potential as an antitumor drug in different in vivo animal models and clinical studies. The gain of new, beneficial function upon partial protein unfolding and fatty acid binding is a remarkable phenomenon, and may reflect a significant generic route of functional diversification of proteins via varying their conformational states and associated ligands.