Probing the mechanism of insulin fibril formation with insulin mutants.

The molecular basis of insulin fibril formation was investigated by studying the structural properties and kinetics of fibril formation of 20 different human insulin mutants at both low pH (conditions favoring monomer/dimer) and at pH 7.4 (conditions favoring tetramer/hexamer). Small-angle X-ray scattering showed insulin to be monomeric in 20% acetic acid, 0.1 M NaCl, pH 2. The secondary structure of the mutants was assessed using far-UV circular dichroism, and the tertiary structure was determined using near-UV circular dichroism, quenching of intrinsic fluorescence by acrylamide and interactions with the hydrophobic probe 1-anilino-8-naphthalene-sulfonic acid (ANS). The kinetics of fibril formation were monitored with the fluorescent dye, Thioflavin T. The results indicate that the monomer is the state from which fibrils arise, thus under some conditions dissociation of hexamers may be rate limiting or partially rate limiting. The insulin mutants were found to retain substantial nativelike secondary and tertiary structure under all conditions studied. The results suggest that fibril formation of the insulin mutants is controlled by specific molecular interactions that are sensitive to variations in the primary structure. The observed effects of several mutations on the rate of fibril formation are inconsistent with a previously suggested model for fibrillation [Brange, J., Whittingham, J., Edwards, D., Youshang, Z., Wollmer, A., Brandenburg, D., Dodson, G., and Finch, J. (1997) Curr. Sci. 72, 470-476]. Two surfaces on the insulin monomer are identified as potential interacting sites in insulin fibrils, one consisting of the residues B10, B16, and B17 and the other consisting of at least the residues A8 and B25. The marked increase in the lag time for fibril formation with mutations to more polar residues, as well as mutations to charged residues, demonstrates the importance of both hydrophobic and electrostatic interactions in the initial stages of fibrillation. A model for insulin fibril formation is proposed in which the formation of a partially folded intermediate is the precursor for associated species on the pathway to fibril formation.     

Conformational flexibility of aqueous monomeric and dimeric insulin: a molecular dynamics study

A series of molecular dynamics simulations have been used to investigate the nature of monomeric and dimeric insulin in aqueous solution. It is shown that in the absence of crystal contacts both monomeric and dimeric insulin have a high degree of intrinsic flexibility. Neither of the two monomer conformations of 2Zn crystalline insulin appears to be favored in solution nor is the asymmetry of the crystal dimer reduced in the absence of crystal contacts. A shift is observed in the relative positions of molecules 1 and 2 in the dimer compared with that found in the crystal, which may have consequences for the prediction of the effects of mutants in the monomer-monomer interface designed to alter the self-association properties of insulin.     

Structure and biological activity of hagfish insulin

An isomorphously phased electron density map of hagfish (Myxine glutinosa) insulin has been calculated at a resolution of 3·1 Å spacing. The molecule crystallises with one molecule per asymmetric unit but is organised as a symmetric dimer lying on a 2-fold crystal axis. The structure of the hagfish insulin monomer is much more similar to that of pig insulin molecule 2 than molecule 1 of the dimer that constitutes one third of the 2 Zn insulin hexamer. There are different conformations however at the N and C termini of the B-chain. At the C terminus the two final residues on hagfish insulin partially obscure the A1 glycine residue, which in pig insulin is exposed. This structural difference has been shown, however, not to be responsible for the reduced activity of the hagfish insulin.     

Examining the inhibitory actions of copolypeptides against amyloid fibrillogenesis of bovine insulin

Amyloid fibrillogenesis has been involved in at least 40 different degenerative diseases. The 51-residue polypeptide hormone insulin, which is associated with type II diabetes, has been demonstrated to fibrillate in vitro. With bovine insulin as a model, the research presented here examines the influence of two simple, unstructured d,l-lysine-co-glycine (d,l-lys-co-gly) and d,l-lysine-co-L-phenylalanine (d,l-lys-co-phe) copolypeptides, on the in vitro fibril formation process of bovine insulin at pH 2.0 and 55 °C. Our results showed that amyloid fibrillogenesis of insulin may be suppressed by both copolypeptides in a concentration-dependent fashion. In addition, the copolypeptides with higher molar fractions of glycine or l-phenylalanine residue, which are considered to possess higher hydrophobic interacting capacities, demonstrated the superior inhibitory potency against insulin fibril formation. Our findings suggest that the association of insulin and copolypeptides, which is likely dominated by hydrophobic interactions and hydrogen bonding, may mitigate the extent of insulin fibrillogenesis. We believe the results from this work may contribute to the understanding of the molecular factors affecting amyloid fibrillation and the molecular mechanism(s) of the interactions between the unstructured polypeptides and amyloid-forming proteins.     

Osmolyte controlled fibrillation kinetics of insulin: New insight into fibrillation using the preferential exclusion principle

Amyloid proteins are converted from their native‐fold to long β‐sheet‐rich fibrils in a typical sigmoidal time‐dependent protein aggregation curve. This reaction process from monomer or dimer to oligomer to nuclei and then to fibrils is the subject of intense study. The main results of this work are based on the use of a well‐studied model amyloid protein, insulin, which has been used in vitro by others. Nine osmolyte molecules, added during the protein aggregation process for the production of amyloid fibrils, slow‐down or speed up the process depending on the molecular structure of each osmolyte. Of these, all stabilizing osmolytes (sugars) slow down the aggregation process in the following order: tri > di > monosaccharides, whereas destabilizing osmolytes (urea, guanidium hydrochloride) speed up the aggregation process in a predictable way that fits the trend of all osmolytes. With respect to kinetics, we illustrate, by adapting our earlier reaction model to the insulin system, that the intermediates (trimers, tetramers, pentamers, etc.) are at very low concentrations and that nucleation is orders of magnitude slower than fibril growth. The results are then collated into a cogent explanation using the preferential exclusion and accumulation of osmolytes away from and at the protein surface during nucleation, respectively. Both the heat of solution and the neutral molecular surface area of the osmolytes correlate linearly with two fitting parameters of the kinetic rate model, that is, the lag time and the nucleation rate prior to fibril formation. These kinetic and thermodynamic results support the preferential exclusion model and the existence of oligomers including nuclei and larger structures that could induce toxicity. © 2009 American Institute of Chemical Engineers Biotechnol. Prog., 2009     

Low resolution crystal structure of hagfish insulin

Insulin from the Atlantic hagfish, Myxine glutinosa, crystallizes in space group P4₁2₁2 with a monomer in the asymmetric unit. The application of the Rossmann &; Blow (1962) rotation function, utilizing the known 2-zinc pig insulin crystal structure, has established the existence of an insulin dimer containing a crystallographic 2-fold axis. The position of the hagfish insulin molecule in the unit cell has been determined and a set of calculated phases derived. These are compared to phases found from isomorphous replacement studies. A 6 Å resolution electron density map has been calculated which shows the A and B chains are folded in a similar way to pig insulin and that the monomers are similarly organized into dimers.     

Interaction and reconstitution of carboxyl-terminal-shortened B chains with the intact A chain of insulin

With the S-(thiomethyl)-A chain and despentapeptide (26-30) and desoctapeptide (23-30) S-(thiomethyl)-B chains of insulin at pH 10.8 and a molar ratio of A/B = 1.5, difference spectra of the mixed against the separated chains with negative peaks at 245 and 295 nm and a weak positive peak at 278 nm indicate interaction of the chains leading to Tyr environmental changes as in the case for the intact chains. With the shortened B chains, freshly dissolved from lyophilized powders, it takes some 2 h for the difference spectra to approach completion whereas with the solutions of the shortened B chains left standing overnight at pH 10.8 and 4 degrees C the difference spectra, similar in shape to that described above, appear almost immediately after mixing. Solvent perturbation with 20% ethylene glycol suggests some ordered structure for the despentapeptide but not for the desoctapeptide B chain. The interactions of the A chain with the shortened B chains appear to be weaker as compared to that with the intact B chain as shown by decreasing reconstitution yields for the intact, despentapeptide, and desoctapeptide B chains respectively with the A chain. The above results indicate that the C-terminal portion of the B chain is important not only for the activity of insulin but also for the correct pairing of the chains.     

Detection and structural characterization of insulin prefibrilar oligomers using surface enhanced Raman spectroscopy

In vitro fibril formation typically exhibits a lag phase followed by a rapid elongation phase. Soluble prefibrilar oligomers form as multiple assembly states occur during the lag phase and, after forming a nucleus, rapidly propagate into amyloid aggregates and fibrils. The structure and morphology of amyloid fibrils have been extensively characterized over the last decades, while little is known about the structural organization of the prefibrilar oligomers or their multiple assembly states. The main difficulty in structural characterization of prefibrilar aggregates is their low concentration (pmolar) and their continual reactive conversion. Herein we overcome these difficulties by utilizing Surface‐Enhanced Raman Spectroscopy (SERS) with a model amyloid peptide, insulin. SERS is a powerful analytic tool that is able to provide detection of small molecules down to a single‐molecule level. Using SERS we found that during the 3 lag phase before the onset of insulin fibril formation, the amount of insulin oligomers increased more than twice after the first hour of incubation under fibrillation conditions (pH 1.6, 65°C) and then slowly decreased with time. The latter finding is kinetically linked to the conversion of the prefibrilar oligomers into fibril species. This study provides valuable new information about the time‐dependent structural organization of insulin oligomers and demonstrates the power and potential of SERS for detection and structural characterization of biological specimens present at low concentrations. © 2013 American Institute of Chemical Engineers Biotechnol. Prog., 30:488–495, 2014     

FTIR studies of secondary structures of bovine insulin and its derivatives

The amide I bands of the deconvolved FTIR spectrum of bovine insulin, despentapeptide (B26-B30) insulin and desoctapeptide (B23-B30) insulin in D2O solution have been assigned to alpha-helix, the 3(10) helix, irregular helix, extended chains, beta-turns and other secondary structures. From the peak areas the relative contents of these structures obtained are in general agreement with those calculated from the known structures of porcine insulin and DPI in the crystalline state. The main difference in the structure of DOI with those of insulin and DPI is the shortening of the helix segment and an extended chain for the C terminal segment in the B chain.     

Quaternary conformational stability: The effect of reversible self‐association on the fibrillation of two insulin analogs

Under conditions relevant to the manufacturing of insulin (e.g., pH 3, room temperature), biosynthetic human insulin (BHI), and Lispro insulin (Lispro) require a nucleation step to initiate aggregation. However, upon seeding with preformed aggregates, both insulins rapidly aggregate into nonnative fibrils. Far ultraviolet circular dichroism (far‐UV CD) and second derivative Fourier transform infrared (2D‐FTIR) spectroscopic analyses show that the fibrillation process involves a change in protein secondary structure from α‐helical in native insulin to predominantly β‐sheet in the nonnative fibrils. After seeding, Lispro aggregates faster than BHI, likely because of a reduced propensity to reversibly self‐associate. Composition gradient multi‐angle light scattering (CG‐MALS) analyses show that Lispro is more monomeric than BHI, whereas their conformational stabilities measured by denaturant‐induced unfolding are statistically indistinguishable. For both BHI and Lispro, as the protein concentration increases, the apparent first‐order rate constant for soluble protein loss decreases. To explain these phenomena, we propose an aggregation model that assumes fibril growth through monomer addition with competitive inhibition by insulin dimers. Biotechnol. Bioeng. 2011;108: 2359–2370. © 2011 Wiley Periodicals, Inc.     

Structure of human insulin monomer in water/acetonitrile solution

Here we present evidence that in water/acetonitrile solvent detailed structural and dynamic information can be obtained for important proteins that are naturally present as oligomers under native conditions. An NMR-derived human insulin monomer structure in H₂O/CD₃CN, 65/35 vol%, pH 3.6 is presented and compared with the available X-ray structure of a monomer that forms part of a hexamer (Acta Crystallogr. 2003 Sec. D59, 474) and with NMR structures in water and organic cosolvent. Detailed analysis using PFGSE NMR, temperature-dependent NMR, dilution experiments and CSI proves that the structure is monomeric in the concentration and temperature ranges 0.1–3 mM and 10–30°C, respectively. The presence of long-range interstrand NOEs, as found in the crystal structure of the monomer, provides the evidence for conservation of the tertiary structure. Starting from structures calculated by the program CYANA, two different molecular dynamics simulated annealing refinement protocols were applied, either using the program AMBER in vacuum (AMBER_VC), or including a generalized Born solvent model (AMBER_GB). Electronic supplementary material The online version of this article (doi:) contains supplementary material, which is available to authorized users. Wojciech Bocian contributed equally to this work.     

Design of an active ultrastable single-chain insulin analog: synthesis, structure, and therapeutic implications

Single-chain insulin (SCI) analogs provide insight into the inter-relation of hormone structure, function, and dynamics. Although compatible with wild-type structure, short connecting segments (<3 residues) prevent induced fit upon receptor binding and so are essentially without biological activity. Substantial but incomplete activity can be regained with increasing linker length. Here, we describe the design, structure, and function of a single-chain insulin analog (SCI-57) containing a 6-residue linker (GGGPRR). Native receptor-binding affinity (130 +/- 8% relative to the wild type) is achieved as hindrance by the linker is offset by favorable substitutions in the insulin moiety. The thermodynamic stability of SCI-57 is markedly increased (DeltaDeltaG(u) = 0.7 +/- 0.1 kcal/mol relative to the corresponding two-chain analog and 1.9 +/- 0.1 kcal/mol relative to wild-type insulin). Analysis of inter-residue nuclear Overhauser effects demonstrates that a native-like fold is maintained in solution. Surprisingly, the glycine-rich connecting segment folds against the insulin moiety: its central Pro contacts Val(A3) at the edge of the hydrophobic core, whereas the final Arg extends the A1-A8 alpha-helix. Comparison between SCI-57 and its parent two-chain analog reveals striking enhancement of multiple native-like nuclear Overhauser effects within the tethered protein. These contacts are consistent with wild-type crystal structures but are ordinarily attenuated in NMR spectra of two-chain analogs, presumably due to conformational fluctuations. Linker-specific damping of fluctuations provides evidence for the intrinsic flexibility of an insulin monomer. In addition to their biophysical interest, ultrastable SCIs may enhance the safety and efficacy of insulin replacement therapy in the developing world.     

The enhancing effect of homocysteine thiolactone on insulin fibrillation and cytotoxicity of insulin fibril

In the current study both structural alteration and fibrillation of insulin were studied in the presence of homocysteine thiolactone (HCTL). The spectroscopic studies revealed that HCTL increases rate of insulin unfolding, giving rise to the appearance of solvent-exposed hydrophobic regions and induces a transition from α-helix into predominantly β-sheet structures. Thioflavin-T fluorescence studies revealed that HCTL markedly enhanced the quantity of insulin fibril formation in both agitating and non-agitating systems. Also gel electrophoresis results suggest that HCTL accelerates the process of formation of high molecular weight insulin aggregates. Moreover, insulin fibrils obtained in the presence of HCTL and those collected earlier in the pathway of insulin fibrillation displayed improved cytotoxicity against cancer cells. The enhancement of insulin fibril formation with elevated cytotoxic properties as occurred in the presence of HCTL, may suggest this homocysteine derivative as a possible contributing factor in the pathology of insulin fibrils.     

Insulin assembly damps conformational fluctuations: Raman analysis of amide I linewidths in native states and fibrils

The crystal structure of insulin has been investigated in a variety of dimeric and hexameric assemblies. Interest in dynamics has been stimulated by conformational variability among crystal forms and evidence suggesting that the functional monomer undergoes a conformational change on receptor binding. Here, we employ Raman spectroscopy and Raman microscopy to investigate well-defined oligomeric species: monomeric and dimeric analogs in solution, native T(6) and R(6) hexamers in solution and corresponding polycrystalline samples. Remarkably, linewidths of Raman bands associated with the polypeptide backbone (amide I) exhibit progressive narrowing with successive self-assembly. Whereas dimerization damps fluctuations at an intermolecular beta-sheet, deconvolution of the amide I band indicates that formation of hexamers stabilizes both helical and non-helical elements. Although the structure of a monomer in solution resembles a crystallographic protomer, its encagement in a native assembly damps main-chain fluctuations. Further narrowing of a beta-sheet-specific amide I band is observed on reorganization of insulin in a cross-beta fibril. Enhanced flexibility of the native insulin monomer is in accord with molecular dynamics simulations. Such conformational fluctuations may initiate formation of an amyloidogenic nucleus and enable induced fit on receptor binding.     

Comparative 2D NMR studies of human insulin and des-pentapeptide insulin: sequential resonance assignment and implications for protein dynamics and receptor recognition

The solution structure and dynamics of human insulin are investigated by 2D 1H NMR spectroscopy in reference to a previously analyzed analogue, des-pentapeptide(B26-B30) insulin (DPI; Hua, Q.X., & Weiss, M.A. (1990) Biochemistry 29, 10545-10555). This spectroscopic comparison is of interest since (i) the structure of the C-terminal region of the B-chain has not been determined in the monomeric state and (ii) the role of this region in binding to the insulin receptor has been the subject of long-standing speculation. The present NMR studies are conducted in the presence of an organic cosolvent (20% acetic acid), under which conditions both proteins are monomeric and stably folded. Complete sequential assignment of human insulin is obtained and leads to the following conclusions. (1) The secondary structure of the insulin monomer (three alpha-helices and B-chain beta-turn) is similar to that observed in the 2-Zn crystal state. (2) The folding of DPI is essentially the same as the corresponding portion of intact insulin, in accord with the similarities between their respective crystal structures. However, differences between insulin and DPI are observed in the extent of conformational broadening of amide resonances, indicating that the presence or absence of residues B26-B30 influences the overall dynamics of the protein on the millisecond time scale. (3) Residues B24-B28 adopt an extended configuration in the monomer and pack against the hydrophobic core as in crystallographic dimers; residues B29 and B30 are largely disordered. This configuration differs from that described in a more organic milieu (35% acetonitrile; Kline, A.D., & Justice, R.M., Jr. (1990) Biochemistry 29, 2906-2913), suggesting that the conformation of insulin in the latter study may have been influenced by solvent composition. (4) The insulin fold is shown to provide a model for collective motions in a protein with implications for the mechanism of protein-protein recognition. To our knowledge, this paper describes the first detailed analysis of a protein NMR spectrum under conditions of extensive conformational broadening. Such an analysis is made possible in the present case by comparative study of an analogue (DPI) with more tractable spectroscopic properties.     

The aggregation behavior of zinc-free insulin studied by small-angle neutron scattering

The aggregation behavior of zinc-free insulin has been studied by small-angle neutron scattering as a function of pH and ionic strength of the solution. The pair distance distribution functions for the 12 samples have been obtained by indirect Fourier transformation. The results show that the diameter of the aggregates is 40 Å at pH 11 and 10 mM NaCl, independent of the protein concentration. The largest diameter of about 120 Å is found for pH 8, 100 mM NaCl, and a protein concentration of 10 mg/ml. Estimates of the pair distance distribution functions, free of inter-particle correlation effects, were obtained by an indirect Fourier transformation, omitting the data at small scattering vectors, which are influenced by these effects. By this procedure the weight-averaged molecular mass and the average radius of gyration were determined. These parameters vary from 1.3 times the monomer mass and 14 Å, to 6.8 times the monomer mass and 31 Å, respectively. The mass distribution between the oligomers was determined by a model based on the crystal structure of zinc-free insulin. The results from this model and the Fourier transformations have been compared to an equilibrium model recently introduced by Kadima et al. (1993). The neutron scattering results agree well with the predictions of this model except that broader mass distributions are suggested by neutron scattering. Correspondence to: J. Skov Pedersen     

Mechanism of insulin aggregation and stabilization in agitated aqueous solutions

Undesirable aggregation of aqueous insulin solutions remains a serious obstacle in the development of alternative methods of diabetes therapy. We investigated the fundamental nature of the aggregation mechanism and proposed stabilization strategies based on a mathematical model for the reaction scheme. Insulin aggregation kinetics in the presence of solid-liquid and air-liquid interfaces were monitored using UV spectroscopy and quasielastic light scattering (QELS). Experimental observations were consistent with our model of monomer denaturation at hydrophobic surfaces followed by the formation of stable intermediate species which facilitated subsequent macroaggregation. The model was used to predict qualitative trends in insulin aggregation behavior, to propose stabilization strategies, and to elucidate mechanisms of stabilization. In the absence of additives, insulin solutions aggregated completely (more than 95% of the soluble protein lost) within 24 h; with sugarbased nonionic detergents, no detectable loss occurred for more than 6 weeks. (c) 1992 John Wiley & Sons, Inc.     

Three-dimensional solution structure of an insulin dimer. A study of the B9(Asp) mutant of human insulin using nuclear magnetic resonance, distance geometry and restrained molecular dynamics.

The solution structure of the B9(Asp) mutant of human insulin has been determined by two-dimensional 1H nuclear magnetic resonance spectroscopy. Thirty structures were calculated by distance geometry from 451 interproton distance restraints based on intra-residue, sequential and long-range nuclear Overhauser enhancement data, 17 restraints on phi torsional angles obtained from 3JH alpha HN coupling constants, and the restraints from 17 hydrogen bonds, and the three disulphide bridges. The distance geometry structures were optimized using restrained molecular dynamics (RMD) and energy minimization. The average root-mean-square deviation for the best 20 RMD refined structures is 2.26 A for the backbone and 3.14 A for all atoms if the less well-defined N and C-terminal residues are excluded. The helical regions are better defined, with root-mean-square deviation values of 1.11 A for the backbone and 2.03 A for all atoms. The data analysis and the calculations show that B9(Asp) insulin, in water solution at the applied pH (1.8 to 1.9), is a well-defined dimer with no detectable difference between the two monomers. The association of the two monomers in the solution dimer is relatively loose as compared with the crystal dimer. The overall secondary and tertiary structures of the monomers in the 2Zn crystal hexamer is found to be preserved. The conformation-averaged NMR structures obtained for the monomer is close to the structure of molecule 1 in the hexamer of the 2Zn insulin crystal. However, minor, but significant deviations from this structure, as well as from the structure of monomeric insulin in solution, exist and are ascribed to the absence of the hexamer and crystal packing forces, and to the presence of monomer-monomer interactions, respectively. Thus, the monomer in the solution dimer shows a conformation similar to that of the crystal monomer in molecular regions close to the monomer-monomer interface, whereas it assumes a conformation similar to that of the solution structure of monomeric insulin in other regions, suggesting that B9(Asp) insulin adopts a monomer-like conformation when this is not inconsistent with the monomer-monomer arrangement in the dimer.     

Nonlocal structural perturbations in a mutant human insulin: sequential resonance assignment and 13C-isotope-aided 2D-NMR studies of [PheB24-->Gly]insulin with implications for receptor recognition.

Insulin's mechanism of receptor binding is not well understood despite extensive study by mutagenesis and X-ray crystallography. Of particular interest are "anomalous" analogues whose bioactivities are not readily rationalized by crystal structures. Here the structure and dynamics of one such analogue (GlyB24-insulin) are investigated by circular dichroism (CD) and isotope-aided 2D-NMR spectroscopy. The mutant insulin retains near-native receptor-binding affinity despite a nonconservative substitution (PheB24-->Gly) in the receptor-binding surface. Relative to native insulin, GlyB24-insulin exhibits reduced dimerization; the monomer (the active species) exhibits partial loss of ordered structure, as indicated by CD studies and motional narrowing of selected 1H-NMR resonance. 2D-NMR studies demonstrate that the B-chain beta-turn (residues B20-23) and beta-strand (residues B24-B28) are destabilized; essentially native alpha-helical secondary structure (residues A3-A8, A13-A18, and B9-B19) is otherwise maintained. 13C-Isotope-edited NOESY studies demonstrate that long-range contacts observed between the B-chain beta-strand and the alpha-helical core in native insulin are absent in the mutant. Implications for the mechanism of insulin's interaction with its receptor are discussed.     

Amyloid fibrillation and cytotoxicity of insulin are inhibited by the amphiphilic surfactants

Amyloid fibrils have been associated with at least 25 different degenerative diseases. The 51-residue polypeptide hormone insulin, which is associated with type II diabetes, has been shown to self-assemble to form amyloid fibrils in vitro. With bovine insulin as a model, the research presented here explores the effects of two amphiphilic surfactants (1,2-dihexanoyl-sn-glycero-3-phosphocholine (di-C7-PC) and 1,2-diheptanoyl-sn-glycero-3-phosphocholine (di-C7-PC)) on the in vitro fibrillation process of bovine insulin at pH 2.0 and 55 °C. We demonstrated that insulin fibrillation may be inhibited by both surfactants in a dose-dependent fashion. The best inhibition of fibril formation is observed when insulin is incubated with 4 mM di-C7-PC. Moreover, the addition of either surfactant at the concentrations studied attenuated insulin fibril-induced cytotoxicity in both PC12 and SH-SY5Y cell lines. The results from this work may contribute to the understanding of the molecular factors affecting amyloid fibrillation and the molecular mechanism(s) of the interactions between the membrane and amyloid proteins.