Fibril Growth Rate Research Articles

Growth kinetics of amyloid-like fibrils: An integrated atomistic simulation and continuum theory approach.

Amyloid fibrils have long been associated with many neurodegenerative diseases. The conventional picture of the formation and proliferation of fibrils from unfolded proteins comprises primary and secondary nucleation of oligomers followed by elongation and fragmentation thereof. In this work, we first employ extensive all-atom molecular dynamics (MD) simulations of short peptides to investigate the governing processes of fibril growth at the molecular scale. We observe that the peptides in the bulk solution can bind onto and subsequently diffuse along the fibril surface, which leads to fibril elongation via either bulk- or surface-mediated docking mechanisms. Then, to guide the quantitative interpretation of these observations and to provide a more comprehensive picture of the growth kinetics of single fibrils, a continuum model which incorporates the key processes observed in the MD simulations is formulated. The model is employed to investigate how relevant physical parameters affect the kinetics of fibril growth and identify distinct growth regimes. In particular, it is shown that fibrils which strongly bind peptides may undergo a transient exponential growth phase in which the entire fibril surface effectively acts as a sink for peptides. We also demonstrate how the relevant model parameters can be estimated from the MD trajectories. Our results provide compelling evidence that the overall fibril growth rates are determined by both bulk and surface peptide fluxes, thereby contributing to a more fundamental understanding of the growth kinetics of amyloid-like fibrils.

Single-molecule FRET imaging and deep learning reveal concentration dependence of aggregation pathways during Aβ aggregation.

Protein aggregation into amyloid fibrils is the hallmark of several devasting neurodegenerative diseases. Gaining an understanding of disease etiology hinges on our ability to understand the molecular mechanics of how soluble monomers assemble to form insoluble fibrils consisting of thousands of constituent monomers. Although amyloid fibril formation is a highly specific self-assembly process, growth patterns and resultant fibril morphologies are highly dependent on solution conditions. Using fluorescence lifetime imaging and deep learning, we have recently shown that amyloid assembly occurs via heterogeneous aggregation pathways resulting in a mixture of co-present mature fibrils with unique morphologies and physicochemical properties (Meng et al., PNAS_2022_e2116736119). Bulk biophysical methods are unable to fully characterize these mixtures of fibril polymorphs. Here, we further develop and use Förster resonance energy transfer (FRET) imaging to monitor the entire aggregation pathway of the Alzheimer's Disease related peptide amyloid β 42 (Aβ42) at the single fibril level in real time. We incubated a mixture of donor-labeled, acceptor-labeled, and unlabeled Aβ42 monomers, which resulted in the formation of fibrils with diverse FRET efficiency values, indicating structural heterogeneity. Single-fibril images reveal that increasing monomer concentration promotes the formation of more homogeneous fibrils. Fibrils formed at lower concentrations show assemble via highly heterogeneous pathways. Deep learning methods (https://github.com/hoisunglab/FNet) enable segmentation of single fibrils within images of highly overlapping fibrils, allowing for quantitative analysis of the aggregation process in terms of fibril growth rate and photon density for each fibril over the course of fibril assembly.

Time-Resolved In Situ AFM Measurement of Growth Rates of Aβ40 Fibrils.

We employ time-resolved in situ atomic force microcopy to monitor the growth of individual Aβ40 fibrils and thereby directly measure the fibril growth rates. We describe procedures to express and purify the Aβ peptide and verify its identity, prepare solutions and seeds, quantify the displacements of the growing tips of individual fibrils, and determine their respective growth rates. We discuss approaches to evaluate and minimize the impact of the scanning tip on the monitored processes. We use the distribution of fibril thickness to characterize approximately the fibril structure. The ability to quantify faithfully the growth kinetics of amyloid fibrils empowers exploration of the molecular-level processes of fibril growth that relate to behaviors of amyloid species of laboratory and clinical interest.

Frustrated peptide chains at the fibril tip control the kinetics of growth of amyloid-β fibrils

Amyloid fibrillization is an exceedingly complex process in which incoming peptide chains bind to the fibril while concertedly folding. The coupling between folding and binding is not fully understood. We explore the molecular pathways of association of Aβ40 monomers to fibril tips by combining time-resolved in situ scanning probe microscopy with molecular modeling. The comparison between experimental and simulation results shows that a complex supported by nonnative contacts is present in the equilibrium structure of the fibril tip and impedes fibril growth in a supersaturated solution. The unraveling of this frustrated state determines the rate of fibril growth. The kinetics of growth of freshly cut fibrils, in which the bulk fibril structure persists at the tip, complemented by molecular simulations, indicate that this frustrated complex comprises three or four monomers in nonnative conformations and likely is contained on the top of a single stack of peptide chains in the fibril structure. This pathway of fibril growth strongly deviates from the common view that the conformational transformation of each captured peptide chain is templated by the previously arrived peptide. The insights into the ensemble structure of the frustrated complex may guide the search for suppressors of Aβ fibrillization. The uncovered dynamics of coupled structuring and assembly during fibril growth are more complex than during the folding of most globular proteins, as they involve the collective motions of several peptide chains that are not guided by a funneled energy landscape.

Multiscale Models for Fibril Formation: Rare Events Methods, Microkinetic Models, and Population Balances.

Amyloid fibrils are thought to grow by a two-step dock-lock mechanism. However, previous simulations of fibril formation (i) overlook the bi-molecular nature of the docking step and obtain rates with first-order units, or (ii) superimpose the docked and locked states when computing the potential of mean force for association and thereby muddle the docking and locking steps. Here, we developed a simple microkinetic model with separate locking and docking steps and with the appropriate concentration dependences for each step. We constructed a simple model comprised of chiral dumbbells that retains qualitative aspects of fibril formation. We used rare events methods to predict separate docking and locking rate constants for the model. The rate constants were embedded in the microkinetic model, with the microkinetic model embedded in a population balance model for “bottom-up” multiscale fibril growth rate predictions. These were compared to “top-down” results using simulation data with the same model and multiscale framework to obtain maximum likelihood estimates of the separate lock and dock rate constants. We used the same procedures to extract separate docking and locking rate constants from experimental fibril growth data. Our multiscale strategy, embedding rate theories, and kinetic models in conservation laws should help to extract docking and locking rate constants from experimental data or long molecular simulations with correct units and without compromising the molecular description.

Effect of ionic strength on assembly behaviors and rheological properties of rice glutelin based fibrils

This study investigated the assembly behaviors and rheological properties of rice glutelin based fibrils with varying ionic strengths (0–150 mM). The addition of NaCl accelerated the growth rate of fibrils, likely due to the effect of electrostatic screening and specific ions-protein interactions. In the morphological studies, the lower ionic strength (50 mM) promoted the elongation of fibrils, whereas the average contour length reduced from 1005 to 470 nm at the ionic strength of 150 mM, since the chaotic, haphazard aggregation of building block at higher ionic strength was not beneficial to the elongation of fibrils. The increased ionic strength facilitated the polypeptides hydrolysis, leading to the increased content of released smaller peptides (<10 kDa). The released peptides assembled into fibrils with stacked β-sheet, and the addition of salt promoted the formation of ordered secondary structure. The rheological properties of fibrils were changed with the effect of ionic strength, attributing to the increased fibrils density and the formation of larger fibrillar aggregates. This work provides a new insight into the effect of ionic strength on the formation and rheological properties of rice glutelin based fibrils, which will offer a promising technology for development of the innovative and agriculturally-sustainable food ingredient.

Thermodynamics of amyloid fibril formation from non-equilibrium experiments of growth and dissociation

Amyloid fibrils are ordered, non-covalent polymers of proteins that are linked to a range of diseases, as well as biological functions. Amyloid fibrils are often considered thermodynamically so stable that they appear to be irreversible, explaining why very few quantitative thermodynamic studies have been performed on amyloid fibrils, compared to the very large body of kinetic studies. Here we explore the thermodynamics of amyloid fibril formation by the protein PI3K-SH3, which forms amyloid fibrils under acidic conditions. We use quartz crystal microbalance (QCM) and develop novel temperature perturbation experiments based on differential scanning fluorimetry (DSF) to measure the temperature dependence of the fibril growth and dissociation rates, allowing us to quantitatively describe the thermodynamic stability of PI3K-SH3 amyloid fibrils between 10 and 75°C.

The growth of amyloid fibrils: rates and mechanisms.

Amyloid fibrils are β-sheet-rich linear protein polymers that can be formed by a large variety of different proteins. These assemblies have received much interest in recent decades, due to their role in a range of human disorders. However, amyloid fibrils are also found in a functional context, whereby their structural, mechanical and thermodynamic properties are exploited by biological systems. Amyloid fibrils form through a nucleated polymerisation mechanism with secondary processes acting in many cases to amplify the number of fibrils. The filamentous nature of amyloid fibrils implies that the fibril growth rate is, by several orders of magnitude, the fastest step of the overall aggregation reaction. This article focusses specifically on in vitro experimental studies of the process of amyloid fibril growth, or elongation, and summarises the state of knowledge of its kinetics and mechanisms. This work attempts to provide the most comprehensive summary, to date, of the available experimental data on amyloid fibril elongation rate constants and the temperature and concentration dependence of amyloid fibril elongation rates. These data are compared with those from other types of protein polymers. This comparison with data from other polymerising proteins is interesting and relevant because many of the basic ideas and concepts discussed here were first introduced for non-amyloid protein polymers, most notably by the Japanese school of Oosawa and co-workers for cytoskeletal filaments.

Mechanisms of aggregation and fibril formation of the amyloidogenic N-terminal fragment of apolipoprotein A-I

The N-terminal (1-83) fragment of the major constituent of plasma high-density lipoprotein, apolipoprotein A-I (apoA-I), strongly tends to form amyloid fibrils, leading to systemic amyloidosis. Here, using a series of deletion variants, we examined the roles of two major amyloidogenic segments (residues 14-22 and 50-58) in the aggregation and fibril formation of an amyloidogenic G26R variant of the apoA-I 1-83 fragment (apoA-I 1-83/G26R). Thioflavin T fluorescence assays and atomic force microscopy revealed that elimination of residues 14-22 completely inhibits fibril formation of apoA-I 1-83/G26R, whereas Δ32-40 and Δ50-58 variants formed fibrils with markedly reduced nucleation and fibril growth rates. CD measurements revealed structural transitions from random coil to β-sheet structures in all deletion variants except for the Δ14-22 variant, indicating that residues 14-22 are critical for the β-transition and fibril formation. Thermodynamic analysis of the kinetics of fibril formation by apoA-I 1-83/G26R indicated that both nucleation and fibril growth are enthalpically unfavorable, whereas entropically, nucleation is favorable, but fibril growth is unfavorable. Interestingly, the nucleation of the Δ50-58 variant was entropically unfavorable, indicating that residues 50-58 entropically promote the nucleation step in fibril formation of apoA-I 1-83/G26R. Moreover, a residue-level structural investigation of apoA-I 1-83/G26R fibrils with site-specific pyrene labeling indicated that the two amyloidogenic segments are in close proximity to form an amyloid core structure, whereas the N- and C-terminal tail regions are excluded from the amyloid core. These results provide critical insights into the aggregation mechanism and fibril structure of the amyloidogenic N-terminal fragment of apoA-I.

Aβ42 fibril formation from predominantly oligomeric samples suggests a link between oligomer heterogeneity and fibril polymorphism.

Amyloid-β (Aβ) oligomers play a central role in the pathogenesis of Alzheimer's disease. Oligomers of different sizes, morphology and structures have been reported in both in vivo and in vitro studies, but there is a general lack of understanding about where to place these oligomers in the overall process of Aβ aggregation and fibrillization. Here, we show that Aβ42 spontaneously forms oligomers with a wide range of sizes in the same sample. These Aβ42 samples contain predominantly oligomers, and they quickly form fibrils upon incubation at 37°C. When fractionated using ultrafiltration filters, the samples enriched with smaller oligomers form fibrils at a faster rate than the samples enriched with larger oligomers, with both a shorter lag time and faster fibril growth rate. This observation is independent of Aβ42 batches and hexafluoroisopropanol treatment. Furthermore, the fibrils formed by the samples enriched with larger oligomers are more readily solubilized by epigallocatechin gallate, a main catechin component of green tea. These results suggest that the fibrils formed by larger oligomers may adopt a different structure from fibrils formed by smaller oligomers, pointing to a link between oligomer heterogeneity and fibril polymorphism.

Steady, Symmetric, and Reversible Growth and Dissolution of Individual Amyloid-β Fibrils.

Oligomers and fibrils of the amyloid-β (Aβ) peptide are implicated in the pathology of Alzheimer's disease. Here, we monitor the growth of individual Aβ40 fibrils by time-resolved in situ atomic force microscopy and thereby directly measure fibril growth rates. The measured growth rates in a population of fibrils that includes both single protofilaments and bundles of filaments are independent of the fibril thickness, indicating that cooperation between adjacent protofilaments does not affect incorporation of monomers. The opposite ends of individual fibrils grow at similar rates. In contrast to the "stop-and-go" kinetics that has previously been observed for amyloid-forming peptides, growth and dissolution of the Aβ40 fibrils are relatively steady for peptide concentration of 0-10 μM. The fibrils readily dissolve in quiescent peptide-free solutions at a rate that is consistent with the microscopic reversibility of growth and dissolution. Importantly, the bimolecular rate coefficient for the association of a monomer to the fibril end is significantly smaller than the diffusion limit, implying that the transition state for incorporation of a monomer into a fibril is associated with a relatively high free energy.

What is Responsible for Atypical Dependence of the Rate of Amyloid Formation on Protein Concentration: Fibril-Catalyzed Initiation of New Fibrils or Competition with Oligomers?

An abnormal dependence of the rate of amyloid formation on protein concentration has been recently observed by Meisl et al. for Aβ40 peptides associated with Alzheimer's disease. To explain this effect, Meisl et al. proposed a novel mechanism of fibril growth: the fibril-catalyzed initiation of fibril formation. In this paper we offer an alternative explanation of the observed anomalous kinetics: formation of metastable oligomers competing with fibril formation by decreasing the concentration of the fibril-forming free monomers. Here we show that the oligomer sizes resulting from the anomalous dependence of the fibril growth rate on protein concentration are close to the sizes of oligomers observed by electron microscopy.

Effect of solvent selectivity on crystallization-driven fibril growth kinetics of diblock copolymers

We performed dynamic Monte Carlo simulations of diblock copolymers to investigate how the selective solvents on two blocks can suppress the crystallization-driven fibril self-assembly growth in dilute solutions. We found that either a lower hydrophilicity of the surrounding amorphous block or a lower hydrophobicity of the core crystallizable block can effectively reduce the fibril growth rates. Their mechanisms are different: the former is the shielding effect and the latter is the thermodynamic effect. We discussed the potential correlation of our results to the recent progress of drug discovery for the Alzheimer's disease that elongates the fibril structure of amyloid proteins as a consequence of crystallization of hydrophobic segments under nano-confinement of those hydrophilic segments. Our observations shed light onto the physicochemical background for the basic therapy strategy of protein-misfolding diseases.

Brilliant blue R dye is capable of suppressing amyloid fibril formation of lysozyme

Amyloid fibril formation is associated with an array of degenerative diseases. While no real cure is currently available, evidence suggests that suppression of amyloid fibrillogenesis is an effective strategy toward combating these diseases. Brilliant blue R (BBR), a disulfonated triphenylmethane compound, has been shown to interact with fibril-forming proteins but exert different effects on amyloid fibrillogenesis. These inconsistent findings prompted us to further evaluate BBR’s effect on the inhibition/suppresion of protein fibrillogenesis. Using 129-residue hen lysozyme, which shares high sequence homology to human lysozyme associated with hereditary non-neuropathic systemic amyloidosis, as a model, this study is aimed at thoroughly examining the influence of BBR on the in vitro protein fibrillogenesis. We first showed that BBR dose-dependently attenuated lysozyme fibril formation probably by affecting the fibril growth rate, with the value of IC50 determined to be ~4.39 μM. Next, we employed tryptophan fluorescence quenching method to determine the binding constant and number of binding site(s) associated with BBR-lysozyme binding. In addition, we further conducted molecular docking studies to gain a better understanding of the possible binding site(s) and interaction(s) between lysozyme and BBR. We believe some of the information and/or knowledge concerning the structure–function relationship associated with BBR’s suppressing activity obtained here can be applied for the future work in the subject matter related with the therapeutic strategies for amyloid diseases.

A sensitive assay reveals structural requirements for α-synuclein fibril growth

The accumulation of α-synuclein (α-syn) fibrils in neuronal inclusions is the defining pathological process in Parkinson's disease (PD). A pathogenic role for α-syn fibril accumulation is supported by the identification of dominantly inherited α-syn (SNCA) gene mutations in rare cases of familial PD. Fibril formation involves a spontaneous nucleation event in which soluble α-syn monomers associate to form seeds, followed by fibril growth during which monomeric α-syn molecules sequentially associate with existing seeds. To better investigate this process, we developed sensitive assays that use the fluorescein arsenical dye FlAsH (fluorescein arsenical hairpin binder) to detect soluble oligomers and mature fibrils formed from recombinant α-syn protein containing an N-terminal bicysteine tag (C2-α-syn). Using seed growth by monomer association (SeGMA) assays to measure fibril growth over 3 h in the presence of C2-α-syn monomer, we observed that some familial PD-associated α-syn mutations (i.e. H50Q and A53T) greatly increased growth rates, whereas others (E46K, A30P, and G51D) decreased growth rates. Experiments with wild-type seeds extended by mutant monomer and vice versa revealed that single-amino acid differences between seed and monomer proteins consistently decreased growth rates. These results demonstrate that α-syn monomer association during fibril growth is a highly ordered process that can be disrupted by misalignment of individual amino acids and that only a subset of familial-PD mutations causes fibril accumulation through increased fibril growth rates. The SeGMA assays reported herein can be utilized to further elucidate structural requirements of α-syn fibril growth and to identify growth inhibitors as a potential therapeutic approach in PD.

Lipid membranes catalyse the fibril formation of the amyloid-β (1–42) peptide through lipid-fibril interactions that reinforce secondary pathways

Alzheimer's disease is associated with the aggregation of amyloid-β (Aβ) peptides into oligomers and fibrils. We have explored how model lipid membranes modulate the rate and mechanisms of Aβ(1–42) self-assembly, in order to shed light on how this pathological reaction may occur in the lipid-rich environments that the peptide encounters in the brain. Using a combination of in vitro biophysical experiments and theoretical approaches, we show that zwitterionic DOPC lipid vesicles accelerate the Aβ(1–42) fibril growth rate by interacting specifically with the growing fibrils. We probe this interaction with help of a purpose-developed Förster resonance energy transfer assay that monitors the proximity between a fibril-specific dye and fluorescent lipids in the lipid vesicle membrane. To further rationalise these findings we use mathematical models to fit the aggregation kinetics of Aβ(1–42) and find that lipid vesicles alter specific mechanistic steps in the aggregation reaction; they augment monomer-dependent secondary nucleation at the surface of existing fibrils and facilitate monomer-independent catalytic processes consistent with fibril fragmentation. We further show that DOPC vesicles have no effect on primary nucleation. This finding is consistent with experiments showing that Aβ(1–42) monomers do not directly bind to the lipid bilayer. Taken together, our results show that plain lipid membranes with charge and composition that is representative of outer cell membranes can significantly augment autocatalytic steps in the self-assembly of Aβ(1–42) into fibrils. This new insight suggests that strategies to reduce fibril-lipid interactions in the brain may have therapeutic value.

Thermodynamic properties of amyloid fibrils in equilibrium

In this manuscript we use a two-dimensional coarse-grained model to study how amyloid fibrils grow towards an equilibrium state where they coexist with proteins dissolved in a solution. Free-energies to dissociate proteins from fibrils are estimated from the residual concentration of dissolved proteins. Consistent with experiments, the concentration of proteins in solution affects the growth rate of fibrils but not their equilibrium state. Also, studies of the temperature dependence of the equilibrium state can be used to estimate thermodynamic quantities, e.g., heat capacity and entropy.

The Levinthal Problem in Amyloid Aggregation: Sampling of a Flat Reaction Space.

The formation of amyloid fibrils has been associated with many neurodegenerative disorders, yet the mechanism of aggregation remains elusive, partly because aggregation time scales are too long to probe with atomistic simulations. A microscopic theory of fibril elongation was recently developed that could recapitulate experimental results with respect to the effects of temperature, denaturants, and protein concentration on fibril growth kinetics (Schmit, J. D. J. Chem. Phys. 2013, 138 (18), 185102). The theory identifies the conformational search over H-bonding states as the slowest step in the aggregation process and suggests that this search can be efficiently modeled as a random walk on a rugged one-dimensional energy landscape. This insight motivated the multiscale computational algorithm for simulating fibril growth presented in this paper. Briefly, a large number of short atomistic simulations are performed to compute the system diffusion tensor in the reaction coordinate space predicted by the analytic theory. Ensemble aggregation pathways and growth kinetics are then computed from Markov state model (MSM) trajectories. The algorithm is deployed here to understand the fibril growth mechanism and kinetics of Aβ16-22 and three of its mutants. The order of growth rates of the wild-type and two single mutation peptides (CHA19 and CHA20) predicted by the MSM trajectories is consistent with experimental results. The simulation also correctly predicts that the double mutation (CHA19/CHA20) would reduce the fibril growth rate, even though the degree of rate reduction with respect to either single mutation is overestimated. This artifact may be attributed to the simplistic implicit solvent model. These trends in the growth rate are not apparent from inspection of the rate constants of individual bonds or the lifetimes of the mis-registered states that are the primary kinetic traps but only emerge in the ensemble of trajectories generated by the MSM.

The Levinthal Problem in Amyloid Aggregation: Identification of Good Coordinates in a Flat Reaction Space

Successful protein folding in physiological timescales requires a biased free energy landscape to restrict the otherwise prohibitive search space. The existence of this bias is a necessary outcome of evolution since sequences that fold slowly do not contribute to the fitness of the organism. In contrast, the evolutionary pressure for efficient folding pathways is not present in the formation of pathological aggregates. Accordingly, the measured growth rates for amyloid fibrils are much slower than might be expected for the formation of beta sheets. Analytic theory shows that fibril growth rates are consistent with a random search over the alignments of intermolecular H-bonds and that solution conditions that accelerate this search (i.e. weakening bonds) can increase aggregation rates. This theory identifies two reaction coordinates, the alignment between molecules and the number of formed H-bonds, which we use to devise a novel Markov State Model to simulate fibril growth in atomistic detail. This model is used to simulate the growth of beta amyloid (16-22) and three mutants. The simulations qualitatively capture the non-additive effects of the mutations, but interestingly there is no obvious trend to the mutation effects in the lifetimes of the molecular alignments or individual H-bonds. Instead, the changes in the growth rate emerge from the accumulation of many small perturbations over a large ensemble of trajectories. We conclude with a discussion of theory development with an eye towards the simulation of very slow processes like fibril nucleation.

In Vitro Analysis of the Co-Assembly of Type-I and Type-III Collagen

An important step towards achieving functional diversity of biomimetic surfaces is to better understand the co-assembly of the extracellular matrix components. For this, we study type-I and type-III collagen, the two major collagen types in the extracellular matrix. By using atomic force microscopy, custom image analysis, and kinetic modeling, we study their homotypic and heterotypic assembly. We find that the growth rate and thickness of heterotypic fibrils decrease as the fraction of type-III collagen increases, but the fibril nucleation rate is maximal at an intermediate fraction of type-III. This is because the more hydrophobic type-I collagen nucleates fast and grows in both longitudinal and lateral directions, whereas more hydrophilic type-III limits lateral growth of fibrils, driving more monomers to nucleate additional fibrils. This demonstrates that subtle differences in physico-chemical properties of similar molecules can be used to fine-tune their assembly behavior.