Molecular recognition in solid-state crystallization: colored chiral adduct formations of 1,1'-bi-2-naphthol derivatives and benzoquinone with a third component

Molecular recognition in solid-state crystallization involving derivatives of 1,1'-bi-2-naphthol and benzoquinone was studied. No adduct crystal was formed when crystals of biphenyl were further added as a third component to a grinding mixture of crystals of chiral 1,1'-bi-2-naphthol and benzoquinone, which by itself did not form an adduct. This contrasts with the case in which further addition of naphthalene crystals to the same mixture produced a new red crystal. Adduct formations using chiral 6,6'-dibromo-1,1'-bi-2-naphthol in place of 1,1'-bi-2-naphthol were also studied. In this case, adducts were produced either with or without biphenyl as a third compound, but the colors of the adducts differed significantly in the two cases: red and bluish-black. The same three-component adduct crystals were produced from solid-grinding and solution crystallization and the structure was determined by X-ray diffractometry. Based on the crystal structures, theoretical calculations were carried out to compare the mechanism of colorations in the binary and the ternary complexes.     

Association of betel nut with carcinogenesis: revisit with a clinical perspective

Betel nut (BN), betel quid (BQ) and products derived from them are widely used as a socially endorsed masticatory product. The addictive nature of BN/BQ has resulted in its widespread usage making it the fourth most abused substance by humans. Progressively, several additives, including chewing tobacco, got added to simple BN preparations. This addictive practice has been shown to have strong etiological correlation with human susceptibility to cancer, particularly oral and oropharyngeal cancers.The PUBMED database was searched to retrieve all relevant published studies in English on BN and BQ, and its association with oral and oropharyngeal cancers. Only complete studies directly dealing with BN/BQ induced carcinogenesis using statistically valid and acceptable sample size were analyzed. Additional relevant information available from other sources was also considered.This systematic review attempts to put in perspective the consequences of this widespread habit of BN/BQ mastication, practiced by approximately 10% of the world population, on oral cancer with a clinical perspective. BN/BQ mastication seems to be significantly associated with susceptibility to oral and oropharyngeal cancers. Addition of tobacco to BN has been found to only marginally increase the cancer risk. Despite the widespread usage of BN/BQ and its strong association with human susceptibility to cancer, no serious strategy seems to exist to control this habit. The review, therefore, also looks at various preventive efforts being made by governments and highlights the multifaceted intervention strategies required to mitigate and/or control the habit of BN/BQ mastication.     

Structure determination of chiral sulfoxide in diastereomeric bicalutamide derivatives

We report on the synthesis and investigation of two diastereomers (5a and 5b) of a new bicalutamide analog with an asymmetric carbon atom and a chiral sulfoxide group. These bicalutamide analogs are novel androgen receptor antagonists with biological activities that depend significantly on the configuration of their stereogenic centers. We determined the absolute configuration at the SO center by combining X-ray and NMR measurements with quantum chemical calculations. Since 5a and 5b failed to yield satisfactory crystals for X-ray crystal structure determination, analogs 6a and 6b differing in only one remote functional group relative to the chiral sulfoxide were synthesized, which yielded satisfactory crystals. X-ray structure determination of 6a and 6b provided the absolute configuration at the chiral sulfoxide. Since the structural difference between 5 and 6 is remote from the chiral sulfoxide, the structural assignment was extended from the diastereomers of 6 to those of 5 provisionally. These assignments were verified with the help of measured and DFT-calculated proton and carbon NMR chemical shifts.     

Synthesis and liquid crystallinity of dendronized carbohydrate liquid crystal

A dendronized carbohydrate thermotropic liquid crystal was synthesized by attaching wedge-shaped mesogens onto a carbohydrate core. These molecules self-organize into chiral columnar hexagonal mesophase with each column slice (4.5 Å thicknesses) filled with average of two molecules. The supramolecular model was further optimized by molecular dynamics simulation. Moreover, chirality successfully expressed in columnar hexagonal mesophase by dendronized carbohydrate molecules may provide inspiration in searching for chiral mesophase of carbohydrate liquid crystals.     

Carboxy-terminal extension effects on crystal formation and insecticidal properties of Colorado potato beetle-active Bacillus thuringiensis δ-endotoxins

Many Bacillus thuringiensis crystal proteins, particularly those active against lepidopteran insects, have carboxy-terminal extensions that mediate bipyramidal crystal formation. These crystals are only soluble at high (>10.0) pH in reducing conditions such as generally found in the lepidopteran midgut. Most of the Colorado potato beetle (CPB)-active toxins lack such an extension, yet some toxins with a carboxy-terminal extension have cryptic activity against this insect, revealed only after in vitro solubilization. Crystal formation, morphology, protein content, and activity against CPB were compared for two sets of proteins, the Cry 1-hybrid SN19 and Cry3Aa, both with and without a carboxy-terminal extension. Cry3Aa, with or without extension, formed flat square or rectagular crystals. SN19 (with extension) and its derivative without extension formed irregular inclusion bodies. All Cry3Aa and SN19 crystals and inclusion bodies were almost equally active before and after in vitro presolubilization and could be solubilized in diluted CPB midgut extract. In contrast, bipyramidal crystals of Cry1Ba were insoluble under these conditions. Our results suggest that bipyramidal crystal formation typical for proteins with a carboxy-terminal extension may preclude activity against CPB, but that interfering with this crystal formation can increase the activity.     

Control of crystal forms of apoferritin by site-directed mutagenesis

Surface charges of protein molecules are not only important to biological functions but also crucial to the molecular assembly responsible for crystallization. Appropriate alteration in the surface charge distribution of a protein molecule induces new molecular alignment in the proper direction in the crystal and, hence, controls the crystal form. Apoferritin molecules are known to crystallize in two- and three-dimensional forms in the presence of cadmium ions, which bridge neighboring protein molecules. Here we report a controlled transformation of the apoferritin 2-D crystal by site-directed mutagenesis. In mutant apoferritin, two amino acid residues binding a cadmium-ion through their negative charge, were replaced by one type of nonionic amino acid residues. The amino acid residues, Asp-84 and Gln-86 in the sequence of recombinant (i.e., wild-type) horse L -apoferritin, were replaced by Ser. The wild-type apoferritin yielded a hexagonal lattice 2-D crystal in the presence of cadmium ions. In contrast, the mutant apoferritin yielded two types of oblique crystals independent of the presence of cadmium ions. Image reconstruction of electron micrographs of the mutant crystals made clear that the mutant apoferritin molecules oriented themselves with the 2-fold symmetry axis perpendicular to the crystal plane in both crystals, while the wild-type apoferritin molecules oriented themselves with the 3-fold symmetry axis perpendicular to the crystal plane. The changes of crystal forms and molecular orientation in the 2-D crystals were well explained by a change of the electrostatic interactions induced by the mutagenesis. © 1995 Wiley-Liss, Inc.     

Modulation of enrofloxacin binding in OmpF by Mg2+ as revealed by the analysis of fast flickering single-porin current

The anti-malarial drug quinine and its quaternary derivative N-benzylquininium (BQ(+)) have been shown to inhibit gap junction (GJ) channels with specificity for Cx50 over its closely related homologue Cx46. Here, we examined the mechanism of BQ(+) action using undocked Cx46 and Cx50 hemichannels, which are more amenable to analyses at the single-channel level. We found that BQ(+) (300 μM-1 mM) robustly inhibited Cx50, but not Cx46, hemichannel currents, indicating that the Cx selectivity of BQ(+) is preserved in both hemichannel and GJ channel configurations. BQ(+) reduced Cx50 hemichannel open probability (P(o)) without appreciably altering unitary conductance of the fully open state and was effective when added from either extracellular or cytoplasmic sides. The reductions in P(o) were dependent on BQ(+) concentration with a Hill coefficient of 1.8, suggesting binding of at least two BQ(+) molecules. Inhibition by BQ(+) was voltage dependent, promoted by hyperpolarization from the extracellular side and conversely by depolarization from the cytoplasmic side. These results are consistent with binding of BQ(+) in the pore. Substitution of the N-terminal (NT) domain of Cx46 into Cx50 significantly impaired inhibition by BQ(+). The NT domain contributes to the formation of the wide cytoplasmic vestibule of the pore and, thus, may contribute to the binding of BQ(+). Single-channel analyses showed that BQ(+) induced transitions that did not resemble pore block, but rather transitions indistinguishable from the intrinsic gating events ascribed to loop gating, one of two mechanisms that gate Cx channels. Moreover, BQ(+) decreased mean open time and increased mean closed time, indicating that inhibition consists of an increase in hemichannel closing rate as well as a stabilization of the closed state. Collectively, these data suggest a mechanism of action for BQ(+) that involves modulation loop gating rather than channel block as a result of binding in the NT domain.     

Immunological properties of entomocidal protein of Bacillus thuringiensis and its insecticidal activity

The immunological properties of the proteinaceous component of the parasporal crystal (δ-endotoxin) of Bacillus thuringiensis var. kurstaki were analyzed by rocket immunoelectrophoresis. Two antisera, one against the k-l-type crystal containing two components, and the other against the k-73-type crystal containing one component, were made in rabbits. The antigens consisting of purified and dissociated crystals were run in electrophoresis with these two antisera. The ratio between the two peak heights of precipitin lines, which were formed by the dissociated crystal of one B. thuringiensis isolate in two antisera, was compared with the ratios of other isolates under identical conditions. The difference in the ratio reflected a difference in the structure of the crystal component and correlated closely with the insecticidal activity spectrum. This method can be used to evaluate a newly isolated B. thuringiensis, and it can further differentiate the isolates which have been classified as one serotype.     

Identification of a molecular switch that selects between two crystals forms of bovine pancreatic trypsin inhibitor.

Two crystals forms of bovine pancreatic trypsin inhibitor are produced between pH 8.39 and 10.13 when crystals are grown at room temperature from solutions of 1.5 M potassium phosphate. Lower pH values favor the form II crystals, whereas higher pH values favor the form III. The transition from one crystal form to the other occurs at pH 9.35. We examined the crystal lattice contacts in both crystal forms and identified an unusual interaction we believe explains these observations. Spanning the crystallographic 2-fold axis in form III crystals, the Lys 41 side-chain amino nitrogens from 2 symmetry-related molecules are only 2.72 A apart, implying they are hydrogen bonded to one another. In form II crystals, the Lys 41 side-chain amino group is protonated and forms a salt bridge with a solvent-derived phosphate group. For the Lys 41 side-chain amino groups to hydrogen bond in form III crystals, at least 1 member of the pair must be deprotonated. The transition that occurs at pH 9.35 marks the pKa for deprotonation. In solution, the pKa for the Lys 41 side chain is around 10.8. The pKa for one of the interacting Lys 41 side chains in form III crystals is therefore shifted downward by about 1.5 pH units. The energy for lowering the pKa value comes from the many additional intermolecular hydrogen bonds that are present in form III crystals: 19 compared to only 8 in form II crystals.     

Genetic variation in eggshell crystal size and orientation is large and these traits are correlated with shell thickness and are associated with eggshell matrix protein markers

The size and orientation of calcium carbonate crystals influence the structure and strength of the eggshells of chickens. In this study, estimates of heritability were found to be high (0.6) for crystal size and moderate (0.3) for crystal orientation. There was a strong positive correlation (0.65) for crystal size and orientation with the thickness of the shell and, in particular, with the thickness of the mammillary layer. Correlations with shell breaking strength were positive but with a high standard error. This was contrary to expectations, as in man-made materials smaller crystals would be stronger. We believe the results of this study support the hypothesis that the structural organization of shell, and in particular the mammillary layer, is influenced by crystal size and orientation, especially during the initial phase of calcification. Genetic associations for crystal measurements were observed between haplotype blocks or individual markers for a number of eggshell matrix proteins. Ovalbumin and ovotransferrin (LTF) markers for example were associated with crystal size, while ovocleidin-116 and ovocalyxin-32 (RARRES1) markers were associated with crystal orientation. The location of these proteins in the eggshell is consistent with different phases of the shell-formation process. In conclusion, the variability of crystal size, and to a lesser extent orientation, appears to have a large genetic component, and the formation of calcite crystals are intimately related to the ultrastructure of the eggshell. Moreover, this study also provides evidence that proteins in the shell influence the variability of crystal traits and, in turn, the shell's thickness profile. The crystal measurements and/or the associated genetic markers may therefore prove to be useful in selection programs to improve eggshell quality.     

Crystal structures of ferrous horse heart myoglobin complexed with nitric oxide and nitrosoethane

The interactions of nitric oxide (NO) and organic nitroso compounds with heme proteins are biologically important, and adduct formation between NO-containing compounds and myoglobin (Mb) have served as prototypical systems for studies of these interactions. We have prepared crystals of horse heart (hh) MbNO from nitrosylation of aqua-metMb crystals, and we have determined the crystal structure of hh MbNO at a resolution of 1.9 A. The Fe-N-O angle of 147 degrees in hh MbNO is larger than the corresponding 112 degrees angle previously determined from the crystal structure of sperm whale MbNO (Brucker et al., Proteins 1998;30:352-356) but is similar to the 150 degrees angle determined from a MS XAFS study of a frozen solution of hh MbNO (Rich et al., J Am Chem Soc 1998;120:10827-10836). The Fe-N(O) bond length of 2.0 A (this work) is longer than the 1.75 A distance determined from the XAFS study and suggests distal pocket influences on FeNO geometry. The nitrosyl N atom is located 3.0 A from the imidazole N(epsilon) atom of the distal His64 residue, suggesting electrostatic stabilization of the FeNO moiety by His64. The crystal structure of the nitrosoethane adduct of ferrous hh Mb was determined at a resolution of 1.7 A. The nitroso O atom of the EtNO ligand is located 2.7 A from the imidazole N(epsilon) atom of His64, suggesting a hydrogen bond interaction between these groups. To the best of our knowledge, the crystal structure of hh Mb(EtNO) is the first such determination of a nitrosoalkane adduct of a heme protein.     

Modification of protein crystal packing by systematic mutations of surface residues: Implications on biotemplating and crystal porosity

Bioinspired nano‐scale biotemplating for the development of novel composite materials has recently culminated in several demonstrations of nano‐structured hybrid materials. Protein crystals, routinely prepared for the elucidation of protein 3D structures by X‐ray crystallography, present an ordered and highly accurate 3D array of protein molecules. Inherent to the 3D arrangement of the protein “building blocks” in the crystal, a complementary 3D array of interconnected cavities—voids array, exhibiting highly ordered porosity is formed. The porous arrays of protein crystal may serve as a nano‐structured, accurate biotemplate by a “filling” process. These cavities arrays are shaped by the mode of protein packing throughout the crystallization process. Here we propose and demonstrate feasibility of targeting site specific mutations to modify protein's surface to affect protein crystal packing, enabling the generation of a series of protein crystal “biotemplates” all originating from same parent protein. The selection of these modification sites was based on in silico analysis of protein–protein interface contact areas in the parent crystal. The model protein selected for this study was the N‐terminal type II cohesin from the cellulosomal scaffold in ScaB subunit of Acetivibrio cellulolyticus and mutations were focused on lysine residues involved in protein packing as prime target. The impact of systematically mutating these lysine residues on protein packing and its resulting interconnected cavities array were found to be most significant when surface lysine residues were substituted to tryptophan residues. Our results demonstrate the feasibility of using pre‐designed site directed mutations for the generation of a series of protein crystal biotemplates from a “parent” protein. Biotechnol. Bioeng. 2009; 104: 444–457 © 2009 Wiley Periodicals, Inc.     

Monitoring the stability of crosslinked protein crystals biotemplates: a feasibility study

Protein crystals, routinely prepared for the elucidation of protein 3D structures by X-ray crystallography, present an ordered and highly accurate 3D array of protein molecules. Inherent to the 3D arrangement of the protein molecules in the crystal is a complementary 3D array of voids made of interconnected cavities and exhibiting highly ordered porosity. The permeability of the porosity of chemically crosslinked enzyme protein crystals to low molecular weight solutes, was used for enzyme mediated organic synthesis and size exclusion chromatography. This permeability might be extended to explore new potential applications for protein crystals, for example, their use as bio-templates for the fabrication of novel, nano-structured composite materials. The quality of composites obtained from "filling" of the ordered voids in protein crystals and their potential applications will be strongly dependent upon an accurate preservation of the order in the original protein crystal 3D array during the "filling" process. Here we propose and demonstrate the feasibility of monitoring the changes in 3D order of the protein array by a step-by-step molecular level monitoring of a model system for hydrogel bio-templating by glutaraldehyde crosslinked lysozyme crystals. This monitoring is based on step-by-step comparative analysis of data obtained from (i) X-ray crystallography: resolution, unit cell dimensions and B-factor values and (ii) fluorescence decay kinetics of ultra-fast laser activated dye, impregnated within these crystals. Our results demonstrated feasibility of the proposed monitoring approach and confirmed that the stabilized protein crystal template retained its 3D structure throughout the process.     

Energetics of the lattice: Packing elements in crystals of four-stranded intercalated cytosine-rich DNA molecules

Condensation of single molecules from solution into crystals represents a transition between distinct energetic states. In solution, the atomic interactions within the molecule dominate. In the crystalline state, however, a set of additional interactions are formed between molecules in close contact in the lattice—these are the packing interactions. The crystal structures of d(CCCT), d(TAACCC), d(CCCAAT), and d(AACCCC) have in common a four-stranded intercalated cytosine segment, built by stacked layers of cytosine · cytosine⁺ (C · C⁺) base pairs coming from two parallel duplexes that intercalate into each other with opposite polarity. The intercalated cytosine segments in these structures are similar in their geometry, even though the sequences crystallized in different space groups. In the crystals, adenine and thymine residues of the sequences are used to build the three-dimensional crystal lattice by elaborately interacting with symmetry-related molecules. The packing elements observed provide novel insight about the copious ways in which nucleic acid molecules can interact with each other—for example, when folded in more complicated higher order structures, such as mRNA and chromatin. © 1998 John Wiley & Sons, Inc. Biopoly 44: 257–267, 1997     

Serotypes of verocytotoxigenic Escherichia coli isolated from cattle and buffalo calf diarrhoea

Abstract Parasporal crystals of the recently isolated Bacillus thuringiensis var. tenebrionis are toxic for coleopteran larvae. Unlike those of other strains they are soluble either in aqueous solutions of NaBr at neutral pH or in water after titration to pH values above pH 10.0. The dissolved crystal protein readily forms crystals after removal of the salt or neutralization. The crystal protein was not found to differ much in the amino acid composition from other crystal proteins. The parasporal crystals are composed of subunits of M _r 68 000 which are not linked by disulfide bridges.     

Three different types of chirality-driven crystallization within the series of uniformly substituted phenyl glycerol ethers

Seven chiral arylglycerol ethers 2-R-C(6)H(4)-O-CH(2)CH(OH)CH(2)OH (R = H, Me, Et, Allyl, n-Pr, i-Pr, tert-Bu) were synthesized in racemic and scalemic form. The IR spectra, melting points, and enthalpies of fusion for racemic and scalemic samples of every species were measured, the entropies of enantiomers mixing in the liquid state and Gibbs free energies of a racemic compound formation were derived and binary phase diagrams were reconstructed for the whole family. Solid racemic compounds stabilities were ranked for the four substances. Spontaneous resolution was established for the registered chiral drug mephenesin and its ethyl analogue. Metastable anomalous conglomerate, forming crystals having three independent R* and one independent S* molecules in the unit cell, is formed during solution crystallization of tert-butyl derivative; metastable phase transforms slowly into traditional racemic conglomerate.     

Permeability of lysozyme tetragonal crystals to water

Diffusion of water within cross-linked tetragonal crystals of hen egg-white lysozyme has been measured and simulated on a computer using the X-ray structure of water-filled channels within the crystal lattice. Relative to the self-diffusion coefficient of bulk water molecules, the experimental diffusion coefficient of water within the crystal was found to be 13 times reduced in the (001) crystallographic plane and 5 times reduced in the [001] direction. Comparison of the experimental and computer simulated diffusion coefficients shows that steric limitations for water diffusion are mostly responsible for this reduction of the water diffusion in the crystal, with the self-diffusion coefficient of intracrystalline water reduced by no more than 30–40% as compared to that of bulk water.     

The structure of NADH:ubiquinone oxidoreductase from beef-heart mitochondria. Crystals containing an octameric arrangement of iron-sulphur protein fragments

We have investigated the structure of two-dimensional crystals from preparations of NADH:ubiquinone oxidoreductase from beef-heart mitochondria. The crystal structure of these crystals was previously determined to be equivalent with two native enzyme molecules per unit cell, i.e. a p2 symmetry [Boekema, E. J., Van Heel, M. G. & Van Bruggen, E. F. J. (1984) Biochim. Biophys. Acta 787, 19-26]. However, the optical diffraction patterns of the crystals displayed a clear fourfold symmetry. A Fourier analysis carried out on the calculated diffraction pattern proved unambiguously that the crystal symmetry was p42(1)2. Following crystallographic rules the unit cell therefore contained eight identical molecules. As a consequence, only a subcomplex of the enzyme rather than the intact enzyme formed the crystal. Electron microscopy of isolated, single molecules of the iron-sulphur protein, a dissociation product of complex I, revealed the presence of square complexes with sides of approximately 15 nm. Since these complexes were indistinguishable from the building blocks (unit cells) of the two-dimensional crystals, the crystals could be composed of Fe-S protein fragments only. The nature of the fragments in the unit cell was probed by immuno-labelling with monovalent antibodies (Fab's), raised against the 75-kDa subunit from the Fe-S protein, followed by image analysis. We found at least four binding sites for the anti-(75-kDa subunit) Fab per unit cell, indicating the presence of at least four copies of the antigen. In order to account for these observations we postulate the hypothesis that the two-dimensional crystals obtained from complex I are composed of iron-sulphur protein molecules in an octameric arrangement.     

Re‐structuring protein crystals porosity for biotemplating by chemical modification of lysine residues

Protein crystals are routinely prepared for the elucidation of protein structure by X‐ray crystallography. These crystals present an highly accurate periodical array of protein molecules with accompanying highly ordered porosity made of interconnected voids. The permeability of the porous protein crystals to a wide range of solutes has recently triggered attempts to explore their potential application as biotemplates by a controlled “filling” process for the fabrication of novel, nano‐structured composite materials. Gaining control of the porosity of a given protein crystal may lead to the preparation of a series of “biotemplates” enabling different ‘filler’/protein content ratios, resulting in different nanostructured composites. One way to gain such control is to produce a series of polymorphic forms of a given “parent‐protein” crystal. As protein packing throughout crystallization is primarily dominated by the chemical composition of the surface of protein molecules and its impact on protein–protein interactions, modification of residues exposed on the surface will affect protein packing, leading to modified porosity. Here we propose to provide influence on the porosity of protein crystals for biotemplating by pre‐crystallization chemical modification of lysine residues exposed on protein's surface. The feasibility of this approach was demonstrated by the serial application of chemical “modifiers” leading to protein derivatives exhibiting altered porosity by affecting protein “packing” throughout protein crystallization. Screening of a series of modifying agents for lysine modification of hen egg white lysozyme revealed that pre‐crystallization modification preserving their positive charge did not affect crystal porosity, while modification resulting in their conversion to negatively charged groups induced dramatic change in protein crystal's packing and porosity. Furthermore, we demonstrate that chemical modification of lysine residues affecting modified protein packing may be simultaneously performed with the crystallization process: aldehydes generating Schiff base formation with protein's lysine residues readily affected modified protein packing, resulting in altered porosity. Our results demonstrate the feasibility of the use of site directed chemical modifications for the generation of a series of protein crystal exhibiting different porosities for biotemplating, all derived from one “parent” protein. Biotechnol. Bioeng. 2011; 108:1–11. © 2010 Wiley Periodicals, Inc.     

Homochiral oligopeptides via surface recognition and enantiomeric cross impediment in the polymerization of racemic phenylalanine N-carboxyanhydride crystals suspended in water

As part of our program on the search of possible prebiotic routes for the formation of oligopeptides of homochiral sequence (isotactic) from racemic precursors in aqueous environment, we report the polymerization of racemic crystals of phenylalanine N-carboxyanhydrides, enantioselectively tagged with five deuterium atoms, suspended in water containing various amine initiators. Racemic mixtures of isotactic oligopeptides, comprising up to 25 repeat units of the same handedness, as the dominant component for each length, were observed in a MALDI-TOF mass spectrometry analysis. The racemic mixtures of the peptides could be desymmetrized by initiating the polymerization reaction with water-soluble methyl esters of either enantiopure alpha-amino acids or dipeptides. A three-step mechanism is proposed to account for these results: (i) Surface recognition of the chiral initiator by the chiral sites present at specific faces of the crystal; (ii) Oligopeptide elongation at the polymer/crystal interface; and (iii) Self-assembly of the short isotactic peptides into racemic antiparallel beta-sheets as templates followed by cross-enantiomeric impediment in the growth of enantiomeric chains at the peptide beta-sheet/crystal interface.