Mechanisms of protein fibril formation: nucleated polymerization with competing off-pathway aggregation

The formation of protein fibrils, and in particular amyloid fibrils, underlies many human diseases. Understanding fibril formation mechanisms is important for understanding disease pathology, but fibril formation kinetics can be complicated, making the relationship between experimental observables and specific mechanisms unclear. Here we examine one often-proposed fibril formation mechanism, nucleated polymerization with off-pathway aggregation. We use the characteristics of this mechanism to derive three tests that can be performed on experimental data to identify it. We also find that this mechanism has an especially striking feature: although increasing protein concentrations generally cause simple nucleated polymerizations to reach completion faster, they cause nucleated polymerizations with off-pathway aggregation to reach completion more slowly when the protein concentration becomes too high.     

Protein Polymerization into Fibrils from the Viewpoint of Nucleation Theory

The assembly of various proteins into fibrillar aggregates is an important phenomenon with wide implications ranging from human disease to nanoscience. Using general kinetic results of nucleation theory, we analyze the polymerization of protein into linear or helical fibrils in the framework of the Oosawa-Kasai (OK) model. We show that while within the original OK model of linear polymerization the process does not involve nucleation, within a modified OK model it is nucleation-mediated. Expressions are derived for the size of the fibril nucleus, the work for fibril formation, the nucleation barrier, the equilibrium and stationary fibril size distributions, and the stationary fibril nucleation rate. Under otherwise equal conditions, this rate decreases considerably when the short (subnucleus) fibrils lose monomers much more frequently than the long (supernucleus) fibrils, a feature that should be born in mind when designing a strategy for stymying or stimulating fibril nucleation. The obtained dependence of the nucleation rate on the concentration of monomeric protein is convenient for experimental verification and for use in rate equations accounting for nucleation-mediated fibril formation. The analysis and the results obtained for linear fibrils are fully applicable to helical fibrils whose formation is describable by a simplified OK model.     

The kinetics of aggregation of poly-glutamic acid based polypeptides

The aggregation of two negatively-charged polypeptides, poly-L-glutamic acid (PE) and a copolymer of poly-glutamic acid and poly-alanine (PEA), has been studied at different peptide and salt concentrations and solution pH conditions. The kinetics of aggregation were based on Thioflavin T (ThT) fluorescence measurements. The observed lag phase shortened and the aggregation was faster as the pH approached the polypeptides' isoelectric points. While the initial polypeptide structures of PE and PEA appeared identical as determined from circular dichroism spectroscopy, the final aggregate morphology differed; PE assumed large twisted lamellar structures and the PEA formed typical amyloid-like fibrils, although both contained extensive beta-sheet structure. Differences in aggregation behavior were observed for the two polypeptides as a function of salt concentration; aggregation progressed more slowly for PE and more quickly for PEA with increasing salt concentration. Several models of aggregation kinetics were fit to the data. No model yielded consistent rate constants or a critical nucleus size. A modified nucleated polymerization model was developed based on that of Powers and Powers [E.T. Powers, D.L. Powers, The kinetics of nucleated polymerizations at high concentrations: Amyloid fibril formation near and above the "supercritical concentration", Biophys. J. 91 (2006) 122-132], which incorporated the ability of oligomeric species to interact. This provided a best fit to the experimental data.     

Nucleation of Polymorphic Amyloid Fibrils

One and the same protein can self-assemble into amyloid fibrils with different morphologies. The phenomenon of fibril polymorphism is relevant biologically because different fibril polymorphs can have different toxicity, but there is no tool for predicting which polymorph forms and under what conditions. Here, we consider the nucleation of polymorphic amyloid fibrils occurring by direct polymerization of monomeric proteins into fibrils. We treat this process within the framework of our newly developed nonstandard nucleation theory, which allows prediction of the concentration dependence of the nucleation rate for different fibril polymorphs. The results highlight that the concentration dependence of the nucleation rate is closely linked with the protein solubility and a threshold monomer concentration below which fibril formation becomes biologically irrelevant. The relation between the nucleation rate, the fibril solubility, the threshold concentration, and the binding energies of the fibril building blocks within fibrils might prove a valuable tool for designing new experiments to control the formation of particular fibril polymorphs.     

Transthyretin aggregation under partially denaturing conditions is a downhill polymerization

The deposition of fibrils and amorphous aggregates of transthyretin (TTR) in patient tissues is a hallmark of TTR amyloid disease, but the molecular details of amyloidogenesis are poorly understood. Tetramer dissociation is typically rate-limiting for TTR amyloid fibril formation, so we have used a monomeric variant of TTR (M-TTR) to study the mechanism of aggregation. Amyloid formation is often considered to be a nucleation-dependent process, where fibril growth requires the formation of an oligomeric nucleus that is the highest energy species on the pathway. According to this model, the rate of fibril formation should be accelerated by the addition of preformed aggregates or "seeds", which effectively bypasses the nucleation step. Herein, we demonstrate that M-TTR amyloidogenesis at low pH is a complex, multistep reaction whose kinetic behavior is incompatible with the expectations for a nucleation-dependent polymerization. M-TTR aggregation is not accelerated by seeding, and the dependence of the reaction timecourse is first-order on the M-TTR concentration, consistent either with a dimeric nucleus or with a nonnucleated process where each step is bimolecular and essentially irreversible. These studies suggest that amyloid formation by M-TTR under partially denaturing conditions is a downhill polymerization, in which the highest energy species is the native monomer. Our results emphasize the importance of therapeutic strategies that stabilize the TTR tetramer and may help to explain why more than eighty TTR variants are disease-associated. The differences between amyloid formation by M-TTR and other amyloidogenic peptides (such as amyloid beta-peptide and islet amyloid polypeptide) demonstrate that these polypeptides do not share a common aggregation mechanism, at least under the conditions examined thus far.     

Kinetics of prion growth

We study the kinetics of prion fibril growth, described by the nucleated polymerization model analytically and by means of numerical experiments. The elementary processes of prion fibril formation lead us to a set of differential equations for the number of fibrils, their total mass, and the number of prion monomers. In difference to previous studies we analyze this set by explicitly taking into account the time-dependence of the prion monomer concentration. The theoretical results agree with experimental data, whereas the generally accepted hypothesis of constant monomer concentration leads to a fibril growth behavior which is not in agreement with experiments. The obtained size distribution of the prion fibril aggregates is shifted significantly toward shorter lengths as compared to earlier results, which leads to a enhanced infectivity of the prion material. Finally, we study the effect of filtering of the inoculated material on the incubation time of the disease.     

Amyloid-β forms fibrils by nucleated conformational conversion of oligomers

Amyloid-β amyloidogenesis is reported to occur via a nucleated polymerization mechanism. If this is true, the energetically unfavorable oligomeric nucleus should be very hard to detect. However, many laboratories have detected early nonfibrillar amyloid-β oligomers without observing amyloid fibrils, suggesting that a mechanistic revision may be needed. Here we introduce Cys-Cys-amyloid-β(1-40), which cannot bind to the latent fluorophore FlAsH as a monomer, but can bind FlAsH as an nonfibrillar oligomer or as a fibril, rendering the conjugates fluorescent. Through FlAsH monitoring of Cys-Cys-amyloid-β(1-40) aggregation, we found that amyloid-β(1-40) rapidly and efficiently forms spherical oligomers in vitro (85% yield) that are kinetically competent to slowly convert to amyloid fibrils by a nucleated conformational conversion mechanism. This methodology was used to show that plasmalogen ethanolamine vesicles eliminate the proteotoxicity-associated oligomerization phase of amyloid-β amyloidogenesis while allowing fibril formation, rationalizing how low concentrations of plasmalogen ethanolamine in the brain are epidemiologically linked to Alzheimer's disease.     

Transthyretin Interferes with Aβ Amyloid Formation by Redirecting Oligomeric Nuclei into Non-Amyloid Aggregates

The pathological Aβ aggregates associated with Alzheimer's disease follow a nucleation-dependent path of formation. A nucleus represents an oligomeric assembly of Aβ peptides that acts as a template for subsequent incorporation of monomers to form a fibrillar structure. Nuclei can form de novo or via surface-catalyzed secondary nucleation, and the combined rates of elongation and nucleation control the overall rate of fibril formation. Transthyretin (TTR) obstructs Aβ fibril formation in favor of alternative non-fibrillar assemblies, but the mechanism behind this activity is not fully understood. This study shows that TTR does not significantly disturb fibril elongation; rather, it effectively interferes with the formation of oligomeric nuclei. We demonstrate that this interference can be modulated by altering the relative contribution of elongation and nucleation, and we show how TTR's effects can range from being essentially ineffective to almost complete inhibition of fibril formation without changing the concentration of TTR or monomeric Aβ.     

A theoretical model successfully identifies features of hepatitis B virus capsid assembly.

The capsids of most spherical viruses are icosahedral, an arrangement of multiples of 60 subunits. Though it is a salient point in the life cycle of any virus, the physical chemistry of virus capsid assembly is poorly understood. We have developed general models of capsid assembly that describe the process in terms of a cascade of low order association reactions. The models predict sigmoidal assembly kinetics, where intermediates approach a low steady state concentration for the greater part of the reaction. Features of the overall reaction can be identified on the basis of the concentration dependence of assembly. In simulations, and on the basis of our understanding of the models, we find that nucleus size and the order of subsequent "elongation" reactions are reflected in the concentration dependence of the extent of the reaction and the rate of the fast phase, respectively. The reaction kinetics deduced for our models of virus assembly can be related to the assembly of any "spherical" polymer. Using light scattering and size exclusion chromatography, we observed polymerization of assembly domain dimers of hepatitis B virus (HBV) capsid protein. Empty capsids assemble at a rate that is a function of protein concentration and ionic strength. The kinetics of capsid formation were sigmoidal, where the rate of the fast phase had second-power concentration dependence. The extent of assembly had third-power concentration dependence. Simulations based on the models recapitulated the concentration dependences observed for HBV capsid assembly. These results strongly suggest that in vitro HBV assembly is nucleated by a trimer of dimers and proceeds by the addition of individual dimeric subunits. On the basis of this mechanism, we suggest that HBV capsid assembly could be an important target for antiviral therapeutics.     

Conserved C-terminal charge exerts a profound influence on the aggregation rate of α-synuclein

α-Synuclein (α-syn) is the major component of filamentous Lewy bodies found in the brains of patients diagnosed with Parkinson's disease (PD). Recent studies demonstrate that, in addition to the wild-type sequence, α-syn is found in several modified forms, including truncated and phosphorylated species. Although the mechanism by which the neuronal loss in PD occurs is unknown, aggregation and fibril formation of α-syn are considered to be key pathological features. In this study, we analyze the rates of fibril formation and the monomer-fibril equilibrium for eight disease-associated truncated and phosphorylated α-syn variants. Comparison of the relative rates of aggregation reveals a strong monotonic relationship between the C-terminal charge of α-syn and the lag time prior to the observation of fibril formation, with truncated species exhibiting the fastest aggregation rates. Moreover, we find that a decrease in C-terminal charge shifts the equilibrium to favor the fibrillar species. An analysis of these findings in the context of linear growth theories suggests that the loss of the charge-mediated stabilization of the soluble state is responsible for the enhanced aggregation rate and increased extent of fibril fraction. Therefore, C-terminal charge is kinetically and thermodynamically protective against α-syn polymerization and may provide a target for the treatment of PD.     

Anomalous Kinetics of Amyloidogenesis Suggest a Competition between Oligomers and Fibrils

Meisl et al. have recently observed an anomalous dependence of the amyloid formation rate on the protein concentration. A novel mechanism of fibril growth has been proposed by Meisl et al. to explain the abnormality; it consists in the fibril-catalyzed initiation of fibril formation with saturation of catalytic sites at high concentrations of substrates. Our article describes an alternative explanation of the anomalous kinetics, assuming that the formation of metastable oligomers competes with fibril formation by decreasing the concentration of free monomers. Oligomers are indeed observed in the course of amyloid formation, but are usually considered as seeds of amyloid fibrils rather as their competitors. However, the oligomers visually detectable by electron microscopy were shown to be close in size to those that can be derived from the anomalous dependence of the amyloid growth rate on the protein concentration, given that the anomaly results from competition between oligomer formation and amyloidogenesis.     

Amyloid fibrils of human prion protein are spun and woven from morphologically disordered aggregates

Propagation and infectivity of prions in human prionopathies are likely associated with conversion of the mainly α-helical human prion protein, HuPrP, into an aggregated form with amyloid-like properties. Previous reports on efficient conversion of recombinant HuPrP have used mild to harsh denaturing conditions to generate amyloid fibrils in vitro. Herein we report on the in vitro conversion of four forms of truncated HuPrP (sequences 90-231 and 121-231 with and without an N-terminal hexa histidine tag) into amyloid-like fibrils within a few hours by using a protocol (phosphate buffered saline solutions at neutral pH with intense agitation) close to physiological conditions. The conversion process monitored by thioflavin T, ThT, revealed a three stage process with lag, growth and equilibrium phases. Seeding with preformed fibrils shortened the lag phase demonstrating the classic nucleated polymerization mechanism for the reaction. Interestingly, comparing thioflavin T kinetics with solubility and turbidity kinetics it was found that the protein initially formed non-thioflavionophilic, morphologically disordered aggregates that over time matured into amyloid fibrils. By transmission electron microscopy and by fluorescence microscopy of aggregates stained with luminescent conjugated polythiophenes (LCPs); we demonstrated that HuPrP undergoes a conformational conversion where spun and woven fibrils protruded from morphologically disordered aggregates. The initial aggregation functioned as a kinetic trap that decelerated nucleation into a fibrillation competent nucleus, but at the same time without aggregation there was no onset of amyloid fibril formation. The agitation, which was necessary for fibril formation to be induced, transiently exposes the protein to the air-water interface suggests a hitherto largely unexplored denaturing environment for prion conversion.     

Glycosaminoglycans promote fibril formation by amyloidogenic immunoglobulin light chains through a transient interaction

Amyloid formation occurs when a precursor protein misfolds and aggregates, forming a fibril nucleus that serves as a template for fibril growth. Glycosaminoglycans are highly charged polymers known to associate with tissue amyloid deposits that have been shown to accelerate amyloidogenesis in vitro. We studied two immunoglobulin light chain variable domains from light chain amyloidosis patients with 90% sequence identity, analyzing their fibril formation kinetics and binding properties with different glycosaminoglycan molecules. We find that the less amyloidogenic of the proteins shows a weak dependence on glycosaminoglycan size and charge, while the more amyloidogenic protein responds only minimally to changes in the glycosaminoglycan. These glycosaminoglycan effects on fibril formation do not depend on a stable interaction between the two species but still show characteristic traits of an interaction-dependent mechanism. We propose that transient, predominantly electrostatic interactions between glycosaminoglycans and the precursor proteins mediate the acceleration of fibril formation in vitro.     

Kinetic studies of amyloid beta-protein fibril assembly. Differential effects of alpha-helix stabilization

Amyloid beta-protein (Abeta) fibril assembly is a defining characteristic of Alzheimer's disease. Fibril formation is a complex nucleation-dependent polymerization process characterized in vitro by an initial lag phase. To a significant degree, this phase is a consequence of the energy barrier that must be overcome in order for Abeta monomers to fold and oligomerize into fibril nuclei. Here we show that low concentrations of 2,2,2-trifluoroethanol (TFE) convert predominately unstructured Abeta monomers into partially ordered, quasistable conformers. Surprisingly, this results in a temporal decrease in the lag phase for fibril formation and a significant increase in the rate of fibril elongation. The TFE effect is concentration dependent and is maximal at approximately 20% (v/v). In the presence of low concentrations of TFE, fibril formation is observed in Abeta samples at nanomolar concentration, well below the critical concentration for Abeta fibril formation in the absence of TFE. As the amount of TFE is increased above 20%, helix content progressively rises to approximately 80%, a change paralleled first by a decrease in elongation rate and then by a complete cessation of fibril growth. These findings are consistent with the hypothesis that a partially folded helix-containing conformer is an intermediate in Abeta fibril assembly. The requirement that Abeta partially folds in order to assemble into fibrils contrasts with the mechanism of amyloidogenesis of natively folded proteins such as transthyretin and lysozyme, in which partial unfolding is a prerequisite. Our results suggest that in vivo, factors that affect helix formation and stability will have significant effects on the kinetics of Abeta fibril formation.     

Amyloid fibrils of human prion protein are spun and woven from morphologically disordered aggregates

Propagation and infectivity of prions in human prionopathies are likely associated with conversion of the mainly a-helical human prion protein, HuPrP, into an aggregated form with amyloid-like properties. Previous reports on efficient conversion of recombinant HuPrP have used mild to harsh denaturing conditions to generate amyloid fibrils in vitro. Herein we report on the in vitro conversion of four forms of truncated HuPrP (sequences 90–231 and 121–231 with and without an N-terminal hexa histidine tag) into amyloid-like fibrils within a few hours by using a protocol (phosphate buffered saline solutions at neutral pH with intense agitation) close to physiological conditions. The conversion process monitored by thioflavin T, ThT, revealed a three stage process with lag, growth and equilibrium phases. Seeding with preformed fibrils shortened the lag phase demonstrating the classic nucleated polymerization mechanism for the reaction. Interestingly, comparing thioflavin T kinetics with solubility and turbidity kinetics it was found that the protein initially formed non- thioflavionophilic, morphologically disordered aggregates that over time matured into amyloid fibrils. By transmission electron microscopy and by fluorescence microscopy of aggregates stained with luminescent conjugated polythiophenes (LCPs); we demonstrated that HuPrP undergoes a conformational conversion where spun and woven fibrils protruded from morphologically disordered aggregates. The initial aggregation functioned as a kinetic trap that decelerated nucleation into a fibrillation competent nucleus, but at the same time without aggregation there was no onset of amyloid fibril formation. The agitation, which was necessary for fibril formation to be induced, transiently exposes the protein to the air-water interface suggests a hitherto largely unexplored denaturing environment for prion conversion.Key words: misfolding, aggregation, amyloid, prion, conformational conversion, fluorescence     

Conformational prerequisites for formation of amyloid fibrils from histones

We demonstrate that bovine core histones are natively unfolded proteins in solutions with low ionic strength due to their high net positive charge at pH 7.5. Using a variety of biophysical techniques we characterized their conformation as a function of pH and ionic strength, as well as correlating the conformation with aggregation and amyloid fibril formation. Tertiary structure was absent under all conditions except at pH 7.5 and high ionic strength. The addition of trifluoroethanol or high ionic strength induced significant alpha-helical secondary structure at pH 7.5. At low pH and high salt concentration, small-angle X-ray scattering and SEC HPLC indicate the histones are present as a hexadecamer of globular subunits. The secondary structure at low pH was independent of the ionic strength or presence of TFE, as judged by FTIR. The data indicate that histones are able to adopt five different relatively stable conformations; this conformational variability probably reflects, in part, their intrinsically disordered structure. Under most of the conditions studied the histones formed amyloid fibrils with typical morphology as seen by electron microscopy. In contrast to most aggregation/amyloidogenic systems, the kinetics of fibrillation showed an inverse dependence on histone concentration; we attribute this to partitioning to a faster pathway leading to non-fibrillar self-associated aggregates at higher protein concentrations. The rate of fibril formation was maximal at low pH, and decreased to zero by pH 10. The kinetics of fibrillation were very dependent on the ionic strength, increasing with increasing salt concentration, and showing marked dependence on the nature of the ions; interestingly Gdn.HCl increased the rate of fibrillation, although much less than NaCl. Different ions also differentially affected the rate of nucleation and the rate of fibril elongation.     

Stopped-flow kinetics of oxygen uptake and release by embryonic red blood cells.

The processes of O2 uptake and release by the three embryonic haemoglobins contained within early mouse embryonic red blood cells have been studied using dual-wavelength stopped-flow kinetic spectroscopy. The rate of O2 uptake in the pseudo-spherical, nucleated, embryonic red blood cells exhibits a greater than first-order dependence on O2 concentration. The time courses for the release from the red blood cells into dithionite-containing solutions tends towards a limiting rate at high dithionite concentrations. The rates of both the uptake and release processes observed in the embryonic cells are compared with those previously seen for adult mouse red blood cells. A new mathematical model is described which accurately simulates both uptake and release experimental data for the nucleated embryonic red blood cells.     

Differentiation of subnucleus-sized oligomers and nucleation-competent assemblies of the Aβ peptide

A significant feature of Alzheimer’s disease is the formation of amyloid deposits in the brain consisting mainly of misfolded derivatives of proteolytic cleavage products of the amyloid precursor protein amyloid-β (Aβ) peptide. While high-resolution structures already exist for both the monomer and the amyloid fibril of the Aβ peptide, the mechanism of amyloid formation itself still defies precise characterization. In this study, low and high molecular weight oligomers (LMWOs and HMWOs) were identified by sedimentation velocity analysis, and for the first time, the temporal evolution of oligomer size distributions was correlated with the kinetics of amyloid formation as determined by thioflavin T-binding studies. LMWOs of subnucleus size contain fewer than seven monomer units and exist alongside a heterogeneous group of HMWOs with 20–160 monomer units that represent potential centers of nucleus formation due to high local monomer concentrations. These HMWOs already have slightly increased β-strand content and appear structurally similar regardless of size, as shown by examination with a range of fluorescent dyes. Once fibril nuclei are formed, the monomer concentration begins to decrease, followed by a decrease in oligomer concentration, starting with LMWOs, which are the least stable species. The observed behavior classifies the two LMWOs as off pathway. In contrast, we consider HMWOs to be on-pathway, prefibrillar intermediates, representing structures in which nucleated conformational conversion is facilitated by high local concentrations. Aβ40 and Aβ42 M35^ox take much longer to form nuclei and enter the growth phase than Aβ42 under identical reaction conditions, presumably because both the size and the concentration of HMWOs formed are much smaller.