Bilayer stabilizing peptides and the inhibition of viral infection: antimeasles activity of carbobenzoxy-Ser-Leu-amide

A number of carbobenzoxy-dipeptide-amides raise the bilayer to hexagonal phase transition temperature of dielaidoylphosphatidylethanolamine (stabilizes the bilayer). The potency of the peptides in stabilizing the bilayer phase is Z-Tyr-Leu-NH₂= Z-Gly-Phe-NH₂>Z-Ser-Leu-NH₂>Z-Gly-Leu-NH₂>Z-Gly-Gly-NH₂. A linear correlation was found between the respective HPLC retention time parameterk for the peptide and the slope of the bilayer stabilization curve determined with model membranes by differential scanning calorimetry. One dipeptide, Z-Ser-Leu-NH₂, reduces measles virus cytopathic effect (CPE) in Vero cells. The mechanism by which this peptide reduces the CPE is not known, although some peptides which raise the bilayer to hexagonal phase transition temperature of phospholipids inhibit membrane fusion.Abbreviations Z carbobenzoxy - DEPE dielaidoylphosphatidylethanolamine - DSC differential scanning calorimetry - HPLC high pressure liquid chromatography - CPE cytopathic effect To whom correspondence should be addressed.     

Comparison of the interaction of the anti-viral chemotherapeutic agents amantadine and tromantadine with model phospholipid membranes

Amantadine and tromantadine are agents used against influenza and herpes infections, respectively. Tromantadine raises the bilayer to hexagonal phase transition temperature of synthetic phosphatidylethanolamines and is less disruptive to phospholipid packing. Tromantadine acts similar to cyclosporin A, previously demonstrated to inhibit viral-induced cell-cell fusion. We suggest the balance between the hydrophobic and hydrophilic group sizes would allow tromantadine to prevent membrane fusion more than amantadine and thus inhibit infection by viruses such as Herpes, which fuse with the plasma membrane. Study of agents which stabilize the bilayer phase of membranes may lead to efficacious inhibitors of viral infections requiring cell fusion events.Abbreviations DEPE dielaidoyl phosphatidylethanolamine - POPE 1-palmitoyl-2-oleoyl phosphatidylethanolamine - DMPC dimyristoyl phosphatidylcholine - DSC differential scanning calorimetry - PIPES piperazine-N,N-bis(2-ethanesulphonic acid) - NMR nuclear magnetic resonance - tromantadine N-1-adamantyl-N-[2-(dimethylamino)ethoxy]a(ethoxy]acetamide-hydrochloride - amantadine (1-adamantamine)-hydrochloride - HSV Herpes Simplex Virus     

Effects of viral chemotherapeutic agents on membrane properties. Studies of cyclosporin A, benzyloxycarbonyl-D-Phe-L-Phe-Gly and amantadine

Cyclosporin A, benzyloxycarbonyl-D-Phe-L-Phe-Gly, and amantadine inhibit the dilution of fluorescently labeled lipids, as measured with the resonance energy exchange assay for membrane fusion. The fusion was studied using sonicated vesicles containing 1,2-dioleoyl-sn-glycero(3)phosphoethanolamine, egg (3-sn-phosphatidyl)choline, and cholesterol in a 1:1:1.3 molar ratio. All three antiviral agents inhibited myelin basic protein-induced membrane fusion when present at low concentrations in the membrane. The mechanism by which these agents affect membrane properties was investigated. The effect of these agents on the bilayer to hexagonal phase transition of 1,2-dielaidoyl-sn-glycero(3)phosphoethanolamine was determined using both differential scanning calorimetry and 31P NMR. Benzyloxycarbonyl-D-Phe-L-Phe-Gly is particularly effective in raising the bilayer to hexagonal phase transition temperature while cyclosporin promotes the greatest amount of broadening of the 31P NMR signal. Both effects are suggested to be related to the inhibitory activity of these substances on membrane fusion and possibly also to their antiviral activity.     

The polar region consecutive to the HIV fusion peptide participates in membrane fusion

The fusion peptide of HIV-1 gp41 is formed by the 16 N-terminal residues of the protein. This 16-amino acid peptide, in common with several other viral fusion peptides, caused a reduction in the bilayer to hexagonal phase transition temperature of dipalmitoleoylphosphatidylethanolamine (T(H)), suggesting its ability to promote negative curvature in membranes. Surprisingly, an elongated peptide corresponding to the 33 N-terminal amino acids raised T(H), although it was more potent than the 16-amino acid fusion peptide in inducing lipid mixing with large unilamellar liposomes of 1:1:1 dioleoylphosphatidylethanolamine/dioleoylphosphatidylcholine/choleste rol. The 17-amino acid C-terminal fragment of the peptide can induce membrane fusion by itself, if it is anchored to a membrane by palmitoylation of the amino terminus, indicating that the additional 17 hydrophilic amino acids contribute to the fusogenic potency of the peptide. This is not solely a consequence of the palmitoylation, as a random peptide with the same amino acid composition with a palmitoyl anchor was less potent in promoting membrane fusion and palmitic acid itself had no fusogenic activity. The 16-amino acid N-terminal fusion peptide and the longer 33-amino acid peptide were labeled with NBD. Fluorescence binding studies indicate that both peptides bind to the membrane with similar affinities, indicating that the increased fusogenic activity of the longer peptide was not a consequence of a greater extent of membrane partitioning. We also determined the secondary structure of the peptides using FTIR spectroscopy. We find that the amino-terminal fusion peptide is inserted into the membrane as a beta-sheet and the 17 C-terminal amino acids lie on the surface of the membrane, adopting an alpha-helical conformation. It was further demonstrated with the use of rhodamine-labeled peptides that the 33-amino acid peptide self-associated in the membrane while the 16-amino acid N-terminal peptide did not. Thus, the 16-amino acid N-terminal fusion peptide of HIV inserts into the membrane and, like other viral fusion peptides, lowers T(H). In addition, the 17 consecutive amino acids enhance the fusogenic activity of the fusion peptide presumably by promoting its self-association.     

Destabilization of a lipid non-bilayer phase by high pressure

Pressure is found to destabilize the non-bilayer phase with respect to the bilayer in a model lipid system. The lamellar to inverted hexagonal (H₁₁) phase transition of aqueous egg phosphatidylethanolamine is shifted to higher temperatures by hydrostatic pressure. The slope of the increase in transition temperature is constant to beyond 300 bar, and is greater than that seen for other lipid phase transitions. This behavior is consistent with the hypothesis that increasing chain disorder drives the conversion from the bilayer into the hexagonal phase. If this non-bilayer lipid phase is an intermediate in membrane fusion, then pressure should inhibit the process. This may explain the inhibition of chemical transmission at neural synapses by pressure.     

Cholesterol sulfate inhibits the fusion of Sendai virus to biological and model membranes

Cholesterol sulfate is a component of several biological membranes. In erythrocytes, cholesterol sulfate inhibits hypotonic hemolysis, while in sperm, it can decrease fertilization efficiency. We have found cholesterol sulfate to be a potent inhibitor of Sendai virus fusion to both human erythrocyte and liposomal membranes. Cholesterol sulfate also raises the bilayer to hexagonal phase transition temperature of dielaidoyl phosphatidylethanolamine as demonstrated by differential scanning calorimetry and 31P nuclear magnetic resonance spectrometry. Although hexagonal phase structures are not readily found in biological membranes, there is a correlation between the effects of membrane additives on bilayer/non-bilayer equilibria and membrane stabilization. It is proposed that the ability of cholesterol sulfate to alter the physical properties of membranes contributes to its stabilization of biological membranes and the inhibition of membrane fusion.     

Hydrophobic lipid additives affect membrane stability and phase behavior of N-monomethyldioleoylphosphatidylethanolamine.

The rate of formation of high-curvature intermediates or disordered cubic phases in N-methyldioleoylphosphatidylethanolamine (N-methyl-DOPE) dispersions with or without additives was studied by 31P NMR spectroscopy. In N-methyl-DOPE dispersions, both the L alpha liquid-crystalline phase and the hexagonal HII phase convert into phases of high curvature giving rise to isotropic 31P NMR resonances. Addition of the bilayer destabilizers 1,2-diolein, 1,3-diolein, or eicosane lowers the threshold temperature of the isotropic phase. The isotropic threshold temperature is strongly correlated with the L alpha-HII phase transition temperature (TH). The addition of hexagonal phase promoters does not change the rate of formation of the isotropic phase at a temperature shifted by a fixed amount below TH. However, the formation of "isotropic" phases from the additive-stabilized hexagonal phase is slow compared to that observed in pure N-methyl-DOPE lipid dispersions. Membrane leakage and fusion are promoted by the dioleins and well as by eicosane, but changes in the rates of these processes do not correlate well with the extent of formation of isotropic phases. All three additives have similar effects on phase behavior and on vesicle leakage and fusion. These similarities occur despite the fact that eicosane is believed to partition differently into the membrane than diolein. In addition to the general similarities in the effects of the two diolein isomers, 1,2-diolein is somewhat more potent in promoting the hexagonal phase and in increasing rates of leakage and fusion than is 1,3-diolein.     

Effects of sugar alcohols and disaccharides in inducing the hexagonal phase and altering membrane properties: implications for diabetes mellitus

A number of sugars lowered the bilayer to hexagonal phase transition temperature of dielaidoylphosphatidylethanolamine. Disaccharides had the greatest effect followed by sugar alcohols. The monosaccharides, glucose and galactose had no effect on this phase transition temperature. The sugars promoted vesicle leakage only under conditions where the lipid was near its hexagonal phase transition temperature. Leakage from lipids in the bilayer state was inhibited by the sugars. Polyols, such as sorbitol, promote hexagonal phase formation and alter membrane permeability. These membrane effects may contribute to the damage caused by sorbitol accumulation in certain tissues of diabetic patients.     

Diacylglycerols, lysolecithin, or hydrocarbons markedly alter the bilayer to hexagonal phase transition temperature of phosphatidylethanolamines

The bilayer to hexagonal phase transition temperatures of dielaidoylphosphatidylethanolamine and 1-palmitoyl-2-oleoylphosphatidylethanolamine are 65.6 and 71.4 degrees C, respectively. Using high-sensitivity differential scanning calorimetry, I have shown that these transition temperatures are extremely sensitive to the presence of small amounts of other lipid components. For example, at a mole fraction of only 0.01, dilinolenin lowers the bilayer to hexagonal phase transition temperature of 1-palmitoyl-2-oleoyl-phosphatidylethanolamine by 8.5 degrees C. Other diacylglycerols have similar effects on this transition temperature, although the degree of unsaturation of the acyl chains has some effect, with distearin being less potent. In comparison, the 20-carbon alkane eicosane lowers this transition temperature by 5 degrees C, while palmitoyl-lysolecithin raises it by 2.5 degrees C. Similar effects of these additives on the bilayer to to hexagonal phase transition temperature are observed with dielaidoylphosphatidylethanolamine. At these concentrations of additive, there is no effect on the gel-state to liquid-crystalline-state transition temperature. The observed shifts in the temperature of the bilayer to the hexagonal phase transition can be qualitatively interpreted in terms of the effects of these additives on the hydrophilic surface area and on the hydrophobic volume. Substances expanding the hydrophobic domain promote hexagonal phase formation and lower the bilayer to hexagonal phase transition temperature. The sensitivity of the bilayer to hexagonal phase transition temperature to the presence of additives is at least as great as that which has been observed for any other lipid phase transition.     

An antiviral peptide targets a coiled-coil domain of the human T-cell leukemia virus envelope glycoprotein

Retrovirus entry into cells is mediated by the viral envelope glycoproteins which, through a cascade of conformational changes, orchestrate fusion of the viral and cellular membranes. In the absence of membrane fusion, viral entry into the host cell cannot occur. For human T-cell leukemia virus type 1 (HTLV-1), synthetic peptides that mimic a carboxy-terminal region of the transmembrane glycoprotein (TM) ectodomain are potent inhibitors of membrane fusion and virus entry. Here, we demonstrate that this class of inhibitor targets a fusion-active structure of HTLV-1 envelope. In particular, the peptides bind specifically to a core coiled-coil domain of envelope, and peptide variants that fail to bind the coiled-coil lack inhibitory activity. Our data indicate that the inhibitory peptides likely function by disrupting the formation of a trimer-of-hairpins structure that is required for membrane fusion. Importantly, we also show that peptides exhibiting dramatically increased potency can be readily obtained. We suggest that peptides or peptide mimetics targeting the fusion-active structures of envelope may be of therapeutic value in the treatment of HTLV-1 infections.     

Promotion of hexagonal phase formation and lipid mixing by fatty acids with varying degrees of unsaturation

A series of C18 and C22 fatty acids, with varying degrees of unsaturation, were tested for their ability to alter the bilayer to hexagonal phase transition temperature of dielaidoylphosphatidylethanolamine. Lowering the pH from 7.4 to 6.4 greatly decreased the bilayer to hexagonal phase transition temperature of fatty acid-phosphatidylethanolamine mixtures. At pH 7.4, increasing unsaturation of the fatty acid generally increased their hexagonal phase-forming ability. However, oleic acid had somewhat greater hexagonal phase-forming capacity and docosahexaenoic acid somewhat less than would be expected for their degree of unsaturation. At pH 6.4 the difference among fatty acids was small and except for stearic acid, all had similar hexagonal phase forming tendencies. The fatty acids cause acid-induced fusion. There is little effect of fatty acid structure on membrane fusion.     

Modulation of the bilayer to hexagonal phase transition and solvation of phosphatidylethanolamines in aqueous salt solutions

Several salts affect the temperature of the bilayer to hexagonal phase transition of phosphatidylethanolamines. Their effects are dependent on the anion as well as the cation of the salt. Salt effects on this transition can be explained by preferential hydration and ion binding. Those salts which are excluded from the solvation sphere of the membrane promote hexagonal phase formation. For example, Na2SO4 promotes preferential hydration and is a hexagonal phase promoter while NaSCN does not do this and is a bilayer stabilizer. Unlike amphiphiles and hydrocarbons, salts can shift the bilayer to hexagonal phase transition temperature without altering the cooperativity of the transition. The effect of these salts on the gel to liquid-crystal transition is opposite to their effect on the bilayer to hexagonal phase transition. We also find that MnCl2 markedly raises the gel to liquid-crystal transition temperature. This effect is due to binding of the cation to the membrane surface. The effect is reduced with MnSO4 because of preferential hydration. Our results demonstrate that the nature of the anion as well as the cation can alter the effect of salts on lipid phase transition properties. The observed effects can be explained as resulting from preferential hydration and ion binding.     

Peptide models for the membrane destabilizing actions of viral fusion proteins.

The fusion of enveloped viruses to target membranes is promoted by certain viral fusion proteins. However, many other proteins and peptides stabilize bilayer membranes and inhibit membrane fusion. We have evaluated some characteristics of the interaction of peptides that are models of segments of measles and influenza fusion proteins with membranes. Our results indicate that these models of the fusogenic domains of viral fusion proteins promote conversion of model membrane bilayers to nonbilayer phases. This is opposite to the effects of peptides and proteins that inhibit viral fusion. A peptide model for the fusion segment of the HA protein of influenza increased membrane leakage as well as promoted the formation of nonbilayer phases upon acidification from pH 7-5. We analyze the gross conformational features of the peptides, and speculate on how these conformational features relate to the structures of the intact proteins and to their role in promoting membrane fusion.     

The Effects of 1,2-Diacylglycerols on the Structural Organization of Model Membranes and Their Fusion

Abstract

The effects of synthetic and natural 1,2 diacylglycerols (DAG) on structural organization of lamellar dispersions of phosphatidylcholine (PC) or PC: phosphatidylinositol (PI) mixtures has been studied with the help of NMR spectroscopy. Asymmetric accumulation of natural DAG in two-component model membranes was achieved by their treatment with phospholipase C specific for PI. It was found that high concentrations (20 mol per cent) of synthetic DAG are needed to induce partial lipid bilayer transition from lamellar into hexagonal and/or isotropic phase. Asymmetric accumulation of natural DAG in thionphosphatidylcholine: PI bilayers treated with phospholipase C resulted in modification of bilayer packing at DAG concentrations as low as 1.5 mol per cent and at physiological temperature (37°C). With the help of fluorescence spectroscopy it was shown that formation of DAG in one of membrane layers of large mono-bilayer liposomes results in the membranes destabilization and fusion.     

X-ray diffraction study of feline leukemia virus fusion peptide and lipid polymorphism

The structural effects of the fusion peptide of feline leukemia virus (FeLV) on the lipid polymorphism of N-methylated dioleoylphosphatidylethanolamine were studied using a temperature ramp with sequential X-ray diffraction. This peptide, the hydrophobic amino-terminus of p15E, has been proven to be fusogenic and to promote the formation of highly curved, intermediate structures on the lamellar liquid-crystal to inverse hexagonal phase transition pathway. The FeLV peptide produces marked effects on the thermotropic mesomorphic behaviour of MeDOPE, a phospholipid with an intermediate spontaneous radius of curvature. The peptide is shown to reduce the lamellar repeat distance of the membrane prior to the onset of an inverted cubic phase. This suggests that membrane thinning may play a role in peptide-induced membrane fusion and strengthens the link between the fusion pathway and inverted cubic phase formation. The results of this study are interpreted in relation to models of the membrane fusion mechanism.     

Wild-Type and Mutant Hemagglutinin Fusion Peptides Alter Bilayer Structure as Well as Kinetics and Activation Thermodynamics of Stalk and Pore Formation Differently: Mechanistic Implications

Viral fusion peptides are short N-terminal regions of type-1 viral fusion proteins that are critical for virus entry. Although the importance of viral fusion peptides in virus-cell membrane fusion is established, little is known about how they function. We report the effects of wild-type (WT) hemagglutinin (HA) fusion peptide and its G1S, G1V, and W14A mutants on the kinetics of poly(ethylene glycol)(PEG)-mediated fusion of small unilamellar vesicles composed of dioleoylphosphatidylcholine, dioleoylphosphatidylethanolamine, sphingomyelin, and cholesterol (molar ratio of 35:30:15:20). Time courses of lipid mixing, content mixing, and content leakage were obtained using fluorescence assays at multiple temperatures and analyzed globally using either a two-step or three-step sequential ensemble model of the fusion process to obtain the rate constant and activation thermodynamics of each step. We also monitored the influence of peptides on bilayer interfacial order, acyl chain order, bilayer free volume, and water penetration. All these data were considered in terms of a recently published mechanistic model for the thermodynamic transition states for each step of the fusion process. We propose that WT peptide catalyzes Step 1 by occupying bilayer regions vacated by acyl chains that protrude into interbilayer space to form the Step 1 transition state. It also uniquely contributes a positive intrinsic curvature to hemi-fused leaflets to eliminate Step 2 and catalyzes Step 3 by destabilizing the highly stressed edges of the hemi-fused microstructures that dominate the ensemble of the intermediate state directly preceding fusion pore formation. Similar arguments explain the catalytic and inhibitory properties of the mutant peptides and support the hypothesis that the membrane-contacting fusion peptide of HA fusion protein is key to its catalytic activity.     

Wild-Type and Mutant Hemagglutinin Fusion Peptides Alter Bilayer Structure as Well as Kinetics and Activation Thermodynamics of Stalk and Pore Formation Differently: Mechanistic Implications

Viral fusion peptides are short N-terminal regions of type-1 viral fusion proteins that are critical for virus entry. Although the importance of viral fusion peptides in virus-cell membrane fusion is established, little is known about how they function. We report the effects of wild-type (WT) hemagglutinin (HA) fusion peptide and its G1S, G1V, and W14A mutants on the kinetics of poly(ethylene glycol)(PEG)-mediated fusion of small unilamellar vesicles composed of dioleoylphosphatidylcholine, dioleoylphosphatidylethanolamine, sphingomyelin, and cholesterol (molar ratio of 35:30:15:20). Time courses of lipid mixing, content mixing, and content leakage were obtained using fluorescence assays at multiple temperatures and analyzed globally using either a two-step or three-step sequential ensemble model of the fusion process to obtain the rate constant and activation thermodynamics of each step. We also monitored the influence of peptides on bilayer interfacial order, acyl chain order, bilayer free volume, and water penetration. All these data were considered in terms of a recently published mechanistic model for the thermodynamic transition states for each step of the fusion process. We propose that WT peptide catalyzes Step 1 by occupying bilayer regions vacated by acyl chains that protrude into interbilayer space to form the Step 1 transition state. It also uniquely contributes a positive intrinsic curvature to hemi-fused leaflets to eliminate Step 2 and catalyzes Step 3 by destabilizing the highly stressed edges of the hemi-fused microstructures that dominate the ensemble of the intermediate state directly preceding fusion pore formation. Similar arguments explain the catalytic and inhibitory properties of the mutant peptides and support the hypothesis that the membrane-contacting fusion peptide of HA fusion protein is key to its catalytic activity.     

Examination of a fusogenic hexameric core from human metapneumovirus and identification of a potent synthetic peptide inhibitor from the heptad repeat 1 region

Paramyxoviruses are a leading cause of childhood illness worldwide. A recently discovered paramyxovirus, human metapneumovirus (hMPV), has been studied by our group in order to determine the structural relevance of its fusion (F) protein to other well-characterized viruses utilizing type I integral membrane proteins as fusion aids. Sequence analysis and homology models suggested the presence of requisite heptad repeat (HR) regions. Synthetic peptides from HR regions 1 and 2 (HR-1 and -2, respectively) were induced to form a thermostable (melting temperature, approximately 90 degrees C) helical structure consistent in mass with a hexameric coiled coil. Inhibitory studies of hMPV HR-1 and -2 indicated that the synthetic HR-1 peptide was a significant fusion inhibitor with a 50% inhibitory concentration and a 50% effective concentration of approximately 50 nM. Many viral fusion proteins are type I integral membrane proteins utilizing the formation of a hexameric coiled coil of HR peptides as a major driving force for fusion. Our studies provide evidence that hMPV also uses a coiled-coil structure as a major player in the fusion process. Additionally, viral HR-1 peptide sequences may need further investigation as potent fusion inhibitors.     

The Kinetics of Non-Lamellar Phase Formation in DOPE-Me: Relevance to Biomembrane Fusion

The mechanism of the lamellar/inverted cubic (Q_II) phase transition is related to that of membrane fusion in lipid systems. N-Monomethylated dioleoylphosphatidylethanolamine (DOPE-Me) exhibits this transition and is commonly used to investigate the effects of exogenous substances, such as viral fusion peptides, on the mechanism of membrane fusion. We studied DOPE-Me phase behavior as a first step in evaluating the effects of membrane-spanning peptides on inverted phase formation and membrane fusion. These measurements show that: a) the onset temperatures for Q_II and inverted hexagonal (H_II) phase formation both are temperature scan rate-dependent; b) longer pre-incubation times at low temperature and lower temperature scan rates favor formation of the Q_II phase; and c) in temperature-jump experiments between 61 and 65°C, the meta-stable H_II phase forms initially, and disappears slowly while the Q_II phase develops. These observations are rationalized in the context of a mechanism for both the lamellar/non-lamellar phase transition and the related process of membrane fusion. Current address for D.P.S.: Givaudan, Cincinnati, OH 45216 Data Deposition: Relevant transition temperatures in this paper have been deposited in the LIPIDAT ( )     

MSI-78, an analogue of the magainin antimicrobial peptides,disrupts lipid bilayer structure via positive curvature strain

In this work, we present the first characterization of the cell lysing mechanism of MSI-78, an antimicrobial peptide. MSI-78 is an amphipathic alpha-helical peptide designed by Genaera Corporation as a synthetic analog to peptides from the magainin family. (31)P-NMR of mechanically aligned samples and differential scanning calorimetry (DSC) were used to study peptide-containing lipid bilayers. DSC showed that MSI-78 increased the fluid lamellar to inverted hexagonal phase transition temperature of 1,2-dipalmitoleoyl-phosphatidylethanolamine indicating the peptide induces positive curvature strain in lipid bilayers. (31)P-NMR of lipid bilayers composed of MSI-78 and 1-palmitoyl-2-oleoyl-phosphatidylethanolamine demonstrated that the peptide inhibited the fluid lamellar to inverted hexagonal phase transition of 1-palmitoyl-2-oleoyl-phosphatidylethanolamine, supporting the DSC results, and the peptide did not induce the formation of nonlamellar phases, even at very high peptide concentrations (15 mol %). (31)P-NMR of samples containing 1-palmitoyl-2-oleoyl-phosphatidylcholine and MSI-78 revealed that MSI-78 induces significant changes in the bilayer structure, particularly at high peptide concentrations. At lower concentrations (1-5%), the peptide altered the morphology of the bilayer in a way consistent with the formation of a toroidal pore. Higher concentrations of peptide (10-15%) led to the formation of a mixture of normal hexagonal phase and lamellar phase lipids. This work shows that MSI-78 induces significant changes in lipid bilayers via positive curvature strain and presents a model consistent with both the observed spectral changes and previously published work.