Structural features of helical antimicrobial peptides: their potential to modulate activity on model membranes and biological cells.

Antibacterial, membrane-lytic peptides belong to the innate immune system and host defense mechanism of a multitude of animals and plants. The largest group of peptide antibiotics comprises peptides which fold into an amphipathic alpha-helical conformation when interacting with the target. The activity of these peptides is thought to be determined by global structural parameters rather than by the specific amino acid sequence. This review is concerned with the influence of structural parameters, such as peptide helicity, hydrophobicity, hydrophobic moment, peptide charge and the size of the hydrophobic/hydrophilic domain, on membrane activity and selectivity. The potential of these parameters to increase the antibacterial activity and to improve the prokaryotic selectivity of natural and model peptides is assessed. Furthermore, biophysical studies are summarized which elucidated the molecular basis for activity and selectivity modulations on the level of model membranes. Finally, the knowledge about the role of peptide structural parameters is applied to understand the different activity spectra of natural membrane-lytic peptides.

Thermodynamics of the alpha-helix-coil transition of amphipathic peptides in a membrane environment: implications for the peptide-membrane binding equilibrium.

Amphipathic alpha-helices are the membrane binding motif in many proteins. The corresponding peptides are often random coil in solution but are folded into an alpha-helix upon interaction with the membrane. The energetics of this ubiquitous folding process are still a matter of conjecture. Here, we present a new method to quantitatively analyze the thermodynamics of peptide folding at the membrane interface. We have systematically varied the helix content of a given amphipathic peptide when bound to the membrane and have correlated the thermodynamic binding parameters determined by isothermal titration calorimetry with the alpha-helix content obtained by circular dichroism spectroscopy. The peptides investigated were the antibiotic magainin 2 amide and three analogs in which two adjacent amino acid residues were substituted by their d-enantiomers. The thermodynamic parameters controlling the alpha-helix formation were found to be linearly related to the helicity of the membrane-bound peptides. Helix formation at the membrane surface is characterized by an enthalpy change of DeltaH(helix) approximately -0.7 kcal/mol per residue, an entropy change of DeltaS(helix) approximately -1.9 cal/molK residue and a free energy change of DeltaG(helix)=-0.14 kcal/mol residue. Helix formation is a strong driving force of peptide insertion into the membrane and accounts for about 50 % of the free energy of binding. An increase in temperature entails an unfolding of the membrane-bound helix. The temperature dependence can be described with the Zimm-Bragg theory and the enthalpy of unfolding agrees with that deduced from isothermal titration calorimetry.

Comparison of proline and N-methylnorleucine induced conformational equilibria in cyclic pentapeptides.

The cyclic, imido acid containing pentapeptides cyclo(Asp-Trp-(NMe)Nle-Asp-Phe) (cpp[NMeNle(3)]) and cyclo(Asp-Trp-Pro-Asp-Phe) (cpp[Pro(3)]) have been investigated by 1H-NMR spectroscopy in DMSO and by restrained molecular dynamics methods. The spectra indicate the existence of at least four cis/trans isomers for cpp[NMeNle(3)] and two cis/trans isomers for cpp[Pro(3)]. In addition to the imido peptide bonds, cpp[NMeNle(3)] shows cis/trans isomerization of the Asp4-Phe5 and Phe5-Asp1 peptide bonds whereas only the Phe5-Asp1 peptide bond isomerizes in the Pro-containing peptide. In cpp[Pro(3)] all cis bonds are centred in betaVIb turns. Also, cpp[NMeNle(3)] prefers backbone angles around the cis bonds which are rather similar to the angles of a betaVIb turn. The higher number of cis/trans isomers and slight deviations in the backbone angles of comparable isomers of both peptides are caused by an enhanced flexibility of cpp[NMeNle(3)] due to the possibility of the phi-(NMe)Nle rotation.

Modulation of membrane activity of amphipathic, antibacterial peptides by slight modifications of the hydrophobic moment.

Starting from the sequences of magainin 2 analogs, peptides with slightly increased hydrophobic moment (mu) but retained other structural parameters were designed. Circular dichroism investigations revealed that all peptides adopt an alpha-helical conformation when bound to phospholipid vesicles. Analogs with increased mu were considerably more active in permeabilizing vesicles mainly composed of zwitterionic lipid. In addition, the antibacterial and hemolytic activities of these analogs were enhanced. Correlation of permeabilization and binding indicated that the activity increase is predominantly caused by an increased membrane affinity of the peptides due to strengthened hydrophobic interactions.

Hydrophobicity, hydrophobic moment and angle subtended by charged residues modulate antibacterial and haemolytic activity of amphipathic helical peptides.

The hydrophobicity (H), hydrophobic moment (mu) and the angle subtended by the positively charged helix face (phi) of a set of model and magainin 2 amide peptides with conserved charge and helix propensity have been shown to be effective modulators of antibacterial and haemolytic activity. Except peptides of low hydrophobicity which are inactive, changing the parameters has little influence on the activity against Gram-negative bacteria, thus revealing the dominance of electrostatic interactions for the effect. However, the increase of H, mu and phi substantially enhances haemolytic and Gram-positive antibacterial activity and is related to a reduction of peptide specificity for Gram-negative bacteria.

Noncovalent immobilized artificial membrane chromatography, an improved method for describing peptide-lipid bilayer interactions.

A promising approach in assessing hydrophobic peptide-membrane interactions is the use of reversed-phase high-performance liquid chromatography. The present study describes the preparation and properties of a noncovalent immobilized artificial membrane (noncovalent IAM) stationary phase. The noncovalent IAM phase was prepared by coating the C18 chains of a reversed-phase HPLC column with the phospholipid ditetradecanoyl-sn-glycero-3-phosphocholine. Lipid coating was achieved by pumping a lipid solution in water-2-propanol through the column. The formation of a bilayer-like structure on the chromatographic surface was confirmed by calculating the phospholipid surface density of the stationary phase. The surface density was determined to be approximately 1.95 mumol m-2, which is close to that of lipid vesicles. The coating was found to be stable in chromatographic elution systems containing less than 35% of acetonitrile. Employing this new technique, we determined interaction parameters of a set of helical antibacterial magainin-2-amide peptides with pairwise substitutions of adjacent amino acids by their D-enatiomers. The results demonstrate that the chromatographic retention behavior of peptides on noncovalent IAM stationary phase shows an excellent correlation with lipid affinities to phospholipid vesicles.

Role of helix formation for the retention of peptides in reversed-phase high-performance liquid chromatography.

In order to get insight into the role of helix formation for retention in reversed-phase HPLC, we have studied the isocratic retention behavior of amphipathic and non-amphipathic potentially helical model peptides. Plots of the logarithmic capacity factor in absence of organic solvent (ln k0) versus l/T were used to derive the enthalpy, deltaH0, the free energy, deltaG0, the entropy of interaction, deltaS0, and the heat capacity change, deltaCp. Retention of all peptides was accompanied by negative deltaCp revealing that hydrophobic interactions play a large role independent of peptide sequence and secondary structure. deltaH0 was negative for the amphipathic analogs and was attributed mainly to helix formation of these peptides upon interaction with the stationary phase. In contrast, deltaH0 was considerably less exothermic or even endothermic for the non-amphipathic analogs. The differences in helix formation between the individual analogs were quantified on the basis of thermodynamic data of helix formation previously derived for peptides in a hydrophobic environment. Correlation of the helicity with the free energy of stationary phase interaction revealed that helix formation accounts for approximately 40-70% of deltaG0, and is hence in addition to the hydrophobic effect a major driving force of retention.

Continuous measurement of rapid transbilayer movement of a pyrene-labeled phospholipid analogue.

The excimer forming capacity of the fluorescent moiety pyrene is employed to measure continuously the transbilayer (re)distribution of a pyrene-labeled phosphatidylcholine analogue (pyPC) in liposomal membranes. pyPC with a lauroyl residue (sn-1 position) and a short (butyroyl) fatty acid chain (sn-2 position) bearing the pyrene moiety incorporates rapidly into the outer leaflet of liposomes. The fluorescence intensities of excimers (I(E)) and of monomers (I(M)) of pyPC depend on the concentration of the analogue in a membrane leaflet. Therefore, the redistribution of pyPC from the outer to the inner leaflet can be followed by changes of the ratio I(E)/I(M). The transbilayer movement of pyPC in pure phospholipid vesicles is very slow indicated by a constant I(E)/I(M). However, addition of membrane active peptides (melittin, magainin 2 amide or a mutant of magainin 2 amide) induced a rapid translocation of pyPC from the outer to the inner leaflet. An approach is presented which allows estimating the transbilayer distribution of pyPC from the measured ratio I(E)/I(M).

Binding of antibacterial magainin peptides to electrically neutral membranes: thermodynamics and structure.

Magainins are positively charged amphiphatic peptides which permeabilize cell membranes and display antimicrobial activity. They are usually thought to bind specifically to anionic lipids, and binding studies have been performed almost exclusively with negatively charged membranes. Here we demonstrate that binding of magainins to neutral membranes, a reaction which is difficult to assess with spectroscopic means, can be followed with high accuracy using isothermal titration calorimetry. The binding mechanism can be described by a surface partition equilibrium after correcting for electrostatic repulsion by means of the Gouy-Chapman theory. Unusual thermodynamic parameters are observed for the binding process. (i) The three magainin analogues that were investigated bind to neutral membranes with large exothermic reaction enthalpies DeltaH of -15 to -18 kcal/mol (at 30 degrees C). (ii) The reaction enthalpies increase with increasing temperature, leading to a large positive heat capacity DeltaC(p) of approximately 130 cal mol(-)(1) K(-)(1) (at 25 degrees C). (iii) The Gibbs free energies of binding DeltaG are between -6.4 and -8.6 kcal/mol, resulting in a large negative binding entropy DeltaS. The binding of magainin to small unilamellar vesicles is hence an enthalpy-driven reaction. The negative DeltaH and DeltaS and the large positive DeltaC(p) contradict the conventional understanding of the hydrophobic effect. CD experiments reveal that the membrane-bound fraction of magainin is approximately 80% helical at 8 degrees C, decreasing to approximately 60% at 45 degrees C. Since the random coil --> alpha-helix transition in aqueous solution is known to be an exothermic process, the same process occurring at the membrane surface is shown to account for up to 65% of the measured reaction enthalpy. In addition to membrane-facilitated helix formation, the second main driving force for membrane binding is the insertion of the nonpolar amino acid side chains into the lipid bilayer. It also contributes a negative DeltaH and follows the pattern for the nonclassical hydrophobic effect. Addition of cholesterol drastically reduces the extent of peptide binding and reveals an enthalpy-entropy compensation mechanism. Membrane permeability was measured with a dye assay and correlated with the extent of peptide binding. The level of dye efflux is linearly related to the amount of surface-bound peptide and can be traced back to a membrane perturbation effect.

Interaction of a mitochondrial presequence with lipid membranes: role of helix formation for membrane binding and perturbation.

The binding of a peptide to a biological membrane is often accompanied by a transition from a random coil structure to an amphipathic alpha-helix. Recently, we have presented a new approach which allows the determination of the thermodynamic parameters of membrane-induced helix formation [Wieprecht et al. (1999) J. Mol Biol. 294, 785]. It involves a systematic variation of the helix content of a given peptide by double D-substitution and a correlation of the binding parameters with the helicity. Here we have used this method to study membrane-induced helix formation for the presequence of rat mitochondrial rhodanese (RHD). The thermodynamic parameters of binding of the peptide RHD and of four of its double D-isomers were determined for 30 nm (SUVs) and 100 nm (LUVs) unilamellar vesicles composed of phosphatidylcholine/phosphatidylglycerol (3:1) using circular dichroism spectroscopy, fluorescence spectroscopy, and isothermal titration calorimetry. The incremental changes of the thermodynamic parameters of helix formation were found to be very similar for SUVs and LUVs. Membrane-induced helix formation of RHD entailed a negative enthalpy of Delta H(helix) = -0.5 to -0.6 kcal/mol/residue and was opposed by an entropy of about Delta S(helix) = -1 to -1.4 cal/mol K/residue. The free energy of helix formation, Delta G(helix), was about -0.2 kcal/mol, and helix formation accounted for 50-60% of the total free energy of membrane binding. Dye-release experiments were used to assess the role of helix formation for the membrane perturbation potential of the peptides. While helix formation plays a major role for membrane binding, it appears to have little importance for inducing membrane leakiness.

Membrane binding and pore formation of the antibacterial peptide PGLa: thermodynamic and mechanistic aspects.

The antibacterial peptide PGLa exerts its activity by permeabilizing bacterial membranes whereas eukaryotic membranes are not affected. To provide insight into the selectivity and the permeabilization mechanism, the binding of PGLa to neutral and negatively charged model membranes was studied with high-sensitivity isothermal titration calorimetry (ITC), circular dichroism (CD), and solid-state deuterium nuclear magnetic resonance ((2)H NMR). The binding of PGLa to negatively charged phosphatidylcholine (PC)/phosphatidylglycerol (PG) (3:1) vesicles was by a factor of approximately 50 larger than that to neutral PC vesicles. The negatively charged membrane accumulates the cationic peptide at the lipid-water interface, thus facilitating the binding to the membrane. However, if bulk concentrations are replaced by surface concentrations, very similar binding constants are obtained for neutral and charged membranes (K approximately 800-1500 M(-)(1)). Membrane selectivity is thus caused almost exclusively by electrostatic attraction to the membrane surface and not by hydrophobic insertion. Membrane insertion is driven by an exothermic enthalpy (DeltaH approximately -11 to -15 kcal/mol) but opposed by entropy. An important contribution to the binding process is the membrane-induced random coil --> alpha-helix transition of PGLa. The peptide is random coil in solution but adopts an approximately 80% alpha-helical conformation when bound to the membrane. Helix formation is an exothermic process, contributing approximately 70% to the binding enthalpy and approximately 30% to the free energy of binding. The (2)H NMR measurements with selectively deuterated lipids revealed small structural changes in the lipid headgroups and in the hydrocarbon interior upon peptide binding which were continuous over the whole concentration range. In contrast, isothermal titration calorimetry of PGLa solutions with PC/PG(3:1) vesicles gave rise to two processes: (i) an exothermic binding of PGLa to the membrane followed by (ii) a slower endothermic process. The latter is only detected at peptide-to-lipid ratios >17 mmol/mol and is paralleled by the induction of membrane leakiness. Dye efflux measurements are consistent with the critical limit derived from ITC measurements. The endothermic process is assigned to peptide pore formation and/or lipid perturbation. The enthalpy of pore formation is 9.7 kcal/mol of peptide. If the same excess enthalpy is assigned to the lipid phase, the lipid perturbation enthalpy is 180 cal/mol of lipid. The functional synergism between PGLa and magainin 2 amide could also be followed by ITC and dye release experiments and is traced back to an enhanced pore formation activity of a peptide mixture.

Binding of the antibacterial peptide magainin 2 amide to small and large unilamellar vesicles

The thermodynamics of binding of the antibacterial peptide magainin 2 amide (M2a) to negatively charged small (SUVs) and large (LUVs) unilamellar vesicles has been studied with isothermal titration calorimetry (ITC) and CD spectroscopy at 45 degrees C. The binding isotherms as well as the ability of the peptide to permeabilize membranes were found to be qualitatively and quantitatively similar for both model membranes. The binding isotherms could be described with a surface partition equilibrium where the surface concentration of the peptide immediately above the plane of binding was calculated with the Gouy-Chapman theory. The standard free energy of binding was deltaG0 approximately -22 kJ/mol and was almost identical for LUVs and SUVs. However, the standard enthalpy and entropy of binding were distinctly higher for LUVs (deltaH0 = -15.1 kJ/mol, deltaS0 = 24.7 J/molK) than for SUVs (deltaH0 = -38.5 kJ/mol, deltaS0 = -55.3 J/molK). This enthalpy-entropy compensation mechanism is explained by differences in the lipid packing. The cohesive forces between lipid molecules are larger in well-packed LUVs and incorporation of M2a leads to a stronger disruption of cohesive forces and to a larger increase in the lipid flexibility than peptide incorporation into the more disordered SUVs. At 45 degrees C the peptide easily translocates from the outer to the inner monolayer as judged from the simulation of the ITC curves.

Cyclic cholecystokinin-analog pentapeptide cyclo (Asp-Trp-Met-Asp-Phe): an unexpected solution conformation.

The conformational analysis of the CCK-B binding peptide cyclo (Asp-Trp-Met-Asp-Phe) has been carried out in DMSO-d6 and in a mixture of H2O/DMSO-d6 by NMR spectroscopy and by restrained molecular dynamics methods. In the NMR spectra, only one set of resonance signals was found. The NOE analyses proved the existence of an all-trans conformation for this peptide. Distance constraints of 1H pairs derived from NOE data were used for restrained molecular dynamics simulations, resulting in one conformational family with a very regular orientation of the amino acids and similar dihedral angles for each residue. The dihedrals and the absence of an intramolecular hydrogen bond indicate that there is no common turn formation in the peptide backbone. A submicromolar binding constant for CCK-B receptors point to a similarity with the bioactive conformation.

The tendency of magainin to associate upon binding to phospholipid bilayers.

Fluorescence energy transfer (FET) from [Trp16]-magainin-2-amide (Trp-Mag) and [D-Ala15,D-Trp16]magainin-2-amide (DD-Trp-Mag) to N(alpha)-dansyl-magainin-2-amide (DNS-Mag) was used to study the association of magainin 2 analogs bound to phosphatidylglycerol vesicles. As shown by circular dichroism and fluorescence spectroscopy, the all-L-analogs exist in a helical conformation and are completely bound to the lipid membrane. The observed FET between Trp-Mag and DNS-Mag is rather small and increases with the DNS-Mag surface concentration. The experimentally determined transfer efficiency is lower than predicted for monomeric magainin analogs randomly distributed exclusively at the outer leaflet of lipid vesicles. These observations can be explained by two different models of spatial distribution for the monomeric magainin analogs. The first model takes into account translocation of magainin which might result in a uniform distribution of magainin at the inner and outer vesicle leaflets. The second model assumes that at least one shell of lipids exists between two magainin molecules, thus reducing the probability of direct contact. Both models explain the measured FET without any contribution of stable associates of magainin analogs. Furthermore, for Trp-Mag and DD-Trp-Mag, an identical energy transfer efficiency was observed, although the nonhelical double-D substituted analog should have a significantly reduced association tendency resulting in decreased FET. Our conclusion that the observed FET is not the result of magainin association is confirmed by the equivalence of the measured energy transfer efficiencies.

Conformational and functional study of magainin 2 in model membrane environments using the new approach of systematic double-D-amino acid replacement.

Systematic double-D-amino acid replacement of adjacent amino acids has been used to study the secondary structure of the amphiphilic, antibiotic peptide magainin 2 amide (M2a) by circular dichroism spectroscopy. Bound to liposomes, the secondary structure of the peptide is characterized by a weak alpha-helix in the N-terminus and a stable alpha-helix between residues 9 and 21. The lack of conformational differences in the peptide when bound to vesicles of varying negative charge density indicates marked independence of the structure from electrostatic forces. The similarity of the helicity profiles observed for double D-isomers bound to vesicles and in the presence of sodium dodecyl sulfate micelles (SDS) clearly shows that SDS can mimic magainin-lipid interactions. In contrast, in 1:1 trifluoroethanol/buffer (v/v), the peptide exhibits a weak alpha-helix extended from the N- to the C-terminus. Dye release experiments from vesicles of phosphatidylglycerol showed that double-D-amino acid substitution only in the region of the stable helix results in a reduction of the membrane-permeabilizing ability. On vesicles with a reduced amount of acidic phospholipids, double-D-amino acid substitution in any position leads to a drastic reduction of peptide-induced membrane permeabilization. Whereas the activity of M2a on phosphatidylglycerol was found to be mainly electrostatically determined, hydrophobic interactions play a decisive role in the interaction with vesicles of reduced negative charge density. Fluorescence investigations of tryptophan-containing analogs of high and low helicity showed that differences in the location of the chromophores of the membrane-bound peptides do not exist.

Peptide hydrophobicity controls the activity and selectivity of magainin 2 amide in interaction with membranes.

The magainins are antibacterial peptides from the skin of Xenopus laevis. They show a broad range of activity against prokaryotic cells but lyse eukaryotic cells poorly. To elucidate the influence of peptide hydrophobicity on membrane activity and selectivity, we designed and synthesized analogs of magainin 2 amide with slightly varying hydrophobicities but retained hydrophobic moment, peptide charge, and angle subtended by the hydrophilic helix region. Circular dichroism investigations of the peptides revealed that all peptides investigated adopt an alpha-helical conformation when bound to phospholipid vesicles. Dye-releasing experiments from vesicles of phosphatidylglycerol (PG) showed that the membrane-permeabilizing activity of the analogs is not influenced by peptide hydrophobicity. In contrast, the permeability-enhancing activity on vesicles bearing high amounts of phosphatidylcholine (PC) increases drastically with enhanced peptide hydrophobicity, resulting in a reduced selectivity of more hydrophobic analogs for negatively charged membranes. Likewise, the peptide affinity to PC-rich membranes increases in the order of hydrophobicity. Correlation of peptide binding and membrane permeabilization of PC/PG (3:1) vesicles revealed that the observed differences in peptide activity on membranes of low negative surface charge are mainly caused by the different binding affinities. The antibacterial and hemolytic activity of the peptides increases with enhanced hydrophobicity. A strong correlation was found between the hemolytic effect and the bilayer-permeabilizing activity against PC-rich vesicles. Whereas the antibacterial specificity of the more hydrophobic analogs is retained for Escherichia coli, the specificity for Pseudomonas aeruginosa decreases with increasing hydrophobicity.

Peptide helicity and membrane surface charge modulate the balance of electrostatic and hydrophobic interactions with lipid bilayers and biological membranes.

An amphipathic model peptide, KLALKLALKALKAAKLA-NH2, and its complete double D-amino acid replacement set was used to analyze the process of peptide binding at lipid vesicles of different surface charge and to determine the structure of the lipid-bound peptides using CD spectroscopy. The relationship between peptide helicity, model membrane permeability, and biological activity has been studied by dye release from liposomes and investigation of antibacterial and hemolytic activity. The accumulation of cationic KLAL peptides at and the membrane-disturbing effect on bilayers of high negative surface charge were found to be dominated by charge interactions. Independent of any structural propensity, the cationic peptide side chains bind to the anionic phosphatidylglycerol moieties. The charge interactions hold the peptides at the bilayer surface, where they may disturb preferentially lipid headgroup organization by formation of peptide-lipid clusters. In contrast, KLAL peptide interaction with bilayers of low negative surface charge is highly dependent on peptide helicity. With decreasing amounts of anionic phosphatidylglycerol in the bilayer the membrane-disturbing effect of KLAL and other helical analogs substantially increases despite drastically reduced binding affinity. Less helical peptides exhibit reduced bilayer-disturbing activity, showing that the hydrophobic helix domain is decisive for binding at and inducing permeability in membranes of low negative surface charge. It is suggested that hydrophobic interactions drive the penetration of the amphipathic peptide structure into the inner membrane region, thus disturbing the arrangement of the lipid acyl chains and causing local disruption. On the basis of the proposed model for membrane disturbance, interactions modulating antibacterial and hemolytic activity are discussed.

Influence of the angle subtended by the positively charged helix face on the membrane activity of amphipathic, antibacterial peptides.

To investigate the influence of the angle subtended by the positively charged helix face on membrane activity, six amphipathic alpha-helical peptides with angles between 80 degrees and 180 degrees, but with retained hydrophobicity, hydrophobic moment, and positive overall charge, were designed starting from the sequence of the antibacterial peptide magainin 2. CD investigations revealed that all analogs are in an alpha-helical conformation in vesicle suspension. The ability of the peptides to induce dye release from negatively charged phosphatidylglycerol (PG) vesicles decreased with increasing angle. However, peptides with a large angle of positively charged residues (140-180 degrees) exhibited a considerably higher permeabilizing activity at zwitterionic phosphatidylcholine (PC) and mixed PC/PG (3:1) vesicles than analogs with a small angle (80-120 degrees). In addition, analogs with large angles were more active in antibacterial and hemolytic assays. The antibacterial specificity of these analogs was decreased. Binding investigations showed that peptide binding is favored by a large angle and a high content of negatively charged phospholipid. In contrast, a small angle and a low negative membrane charge enhanced the membrane-permeabilizing efficiency of the bound peptide fraction. All analogs stabilized the bilayer phase of phosphatidylethanolamine over the inverted hexagonal phase. Therefore, a class L mechanism of permeabilization can be excluded. Furthermore, the analogs do not act by the induction of positive curvature strain or by a "carpet-like" mechanism. Our results are in accordance with a pore mechanism: The membrane-permeabilizing efficiency of analogs with enhanced angle of positively charged residues is reduced due to electrostatic repulsion between adjacent helices within the pore, thus resulting in a decreased pore-forming probability and/or pore destabilization.