Nucleated Polymerization Research Articles

The Kinetics of Nucleated Polymerizations at High Concentrations: Amyloid Fibril Formation Near and Above the “Supercritical Concentration”

The formation of amyloid and other types of protein fibrils is thought to proceed by a nucleated polymerization mechanism. One of the most important features commonly associated with nucleated polymerizations is a strong dependence of the rate on the concentration. However, the dependence of fibril formation rates on concentration can weaken and nearly disappear as the concentration increases. Using numerical solutions to the rate equations for nucleated polymerization and analytical solutions to some limiting cases, we examine this phenomenon and show that it is caused by the concentration approaching and then exceeding the equilibrium constant for dissociation of monomers from species smaller than the nucleus, a quantity we have named the “supercritical concentration”. When the concentration exceeds the supercritical concentration, the monomer, not the nucleus, is the highest-energy species on the fibril formation pathway, and the fibril formation reaction behaves initially like an irreversible polymerization. We also derive a relation that can be used in a straightforward method for determining the nucleus size and the supercritical concentration from experimental measurements of fibril formation rates.

Extended Polyglutamine Tracts Cause Aggregation and Structural Perturbation of an Adjacent β Barrel Protein

Formation of fibrillar intranuclear inclusions and related neuropathologies of the CAG-repeat disorders are linked to the expansion of a polyglutamine tract. Despite considerable effort, the etiology of these devastating diseases remains unclear. Although polypeptides with glutamine tracts recapitulate many of the observed characteristics of the gene products with CAG repeats, such as in vitro and in vivo aggregation and toxicity in model organisms, extended polyglutamine segments have also been reported to structurally perturb proteins into which they are inserted. Additionally, the sequence context of a polyglutamine tract has recently been shown to modulate its propensity to aggregate. These findings raise the possibility that indirect influences of the repeat tract on adjacent protein domains are contributory to pathologies. Destabilization of an adjacent domain may lead to loss of function, as well as favoring non-native structures in the neighboring domain causing them to be prone to intermolecular association and consequent aggregation. To explore these phenomena, we have used chimeras of a well studied globular protein and exon 1 of huntingtin. We find that expansion of the polyglutamine segment beyond the pathological threshold (>35 glutamines) results in structural perturbation of the neighboring protein whether the huntingtin exon is N- or C-terminal. Elongation of the polyglutamine region also substantially increases the propensity of the chimera to aggregate, both in vitro and in vivo, and in vitro aggregation kinetics of a chimera with a 53-glutamine repeat follow a nucleation polymerization mechanism with a monomeric nucleus.

A mathematical analysis of the dynamics of prion proliferation

How do the normal prion protein (PrPC) and infectious prion protein (PrPSc) populations interact in an infected host? To answer this question, we analyse the behavior of the two populations by studying a system of differential equations. The system is constructed under the assumption that PrPSc proliferates using the mechanism of nucleated polymerization. We prove that with parameter input consistent with experimentally determined values, we obtain the persistence of PrPSc. We also prove local stability results for the disease steady state, and a global stability result for the disease free steady state. Finally, we give numerical simulations, which are confirmed by experimental data.

Fabrication of polymeric hollow nanospheres, hollow nanocubes and hollow plates

A facile strategy for fabricating polypyrrole–chitosan (PPy–CS) hollow nanostructures withdifferent shapes (sphere, cube and plate) and a wide range of sizes (from 35 to 600 nm) isdescribed. These hollow structures have been fabricated using silver bromide as a singletemplate material for polymer nucleation and growth. PPy–CS hollow nanostructures areformed by reaction with an etching agent to remove the core. These hollow nanostructureshave been extensively characterized using various techniques such as TEM, FT-IR, UV–vis,and XRD.

Structural development and electronic properties of hot filament low pressure chemical vapor deposited fluorocarbon polymer films

Fluorocarbon polymer films in the poly(tetrafluoroethylene) (PTFE)-like structure are formed by a low-pressure chemical vapor deposition technique using the hot filament excitation of the gaseous C3F6O precursor. The filament and substrate temperatures were found to influence the structure of the deposited films. Infrared absorption and electron spectroscopy studies reveal that a PTFE-like (CF2)2n linear molecular chain structure evolves by an adsorption driven nucleation and CF2 polymerization process in the films deposited with low (450 °C) filament and high (70 °C) substrate temperatures. The films formed at a low substrate temperature (–165 °C) show a higher concentration of CF and C–CF bond defects and shorter (CF2)2n chains. A high (8–10 at.%) oxygen concentration in the films deposited at 600 °C filament temperature is attributed to the reaction of the (CF2)2n chains with COF and peroxyradicals arising from the dissociation of CF3C(O)F and affects the thermal stability of the films. Such reactions are not involved in the film growth at a low (450 °C) filament temperature. These films have much lower (<2 at.%) bonded oxygen content. The films having an ordered (CF2)2n chain structure formed at 70 °C are characterized by low leakage currents ∼7 × 10−11 A cm−2 at 0.1 MV cm−1 field. In comparison, high leakage currents ∼1 × 10−8 A cm−2 are observed for the films having a higher concentration of C–F and C–CF bonds.

α-Synuclein Fission Yeast Model: Concentration-Dependent Aggregation Without Plasma Membrane Localization or Toxicity

Despite fission yeast's history of modeling salient cellular processes, it has not yet been used to model human neurodegeneration-linked protein misfolding. Because alpha-synuclein misfolding and aggregation are linked to Parkinson's disease (PD), here, we report a fission yeast (Schizosaccharomyces pombe) model that evaluates alpha-synuclein misfolding, aggregation, and toxicity and compare these properties with those recently characterized in budding yeast (Saccharomyces cerevisiae). Wild-type alpha-synuclein and three mutants (A30P, A53T, and A30P/A53T) were expressed with thiamine-repressible promoters (using vectors of increasing promoter strength: pNMT81, pNMT41, and pNMT1) to test directly in living cells the nucleation polymerization hypothesis for alpha-synuclein misfolding and aggregation. In support of the hypothesis, wild-type and A53T alpha-synuclein formed prominent intracellular cytoplasmic inclusions within fission yeast cells in a concentration- and time-dependent manner, whereas A30P and A30P/A53T remained diffuse throughout the cytoplasm. A53T alpha-synuclein formed aggregates faster than wild-type alpha-synuclein and at a lower alpha-synuclein concentration. Unexpectedly, unlike in budding yeast, wild-type and A53T alpha-synuclein did not target to the plasma membrane in fission yeast, not even at low alpha-synuclein concentrations or as a precursor step to forming aggregates. Despite alpha-synuclein's extensive aggregation, it was surprisingly nontoxic to fission yeast. Future genetic dissection might yield molecular insight into this protection against toxicity. We speculate that alpha-synuclein toxicity might be linked to its membrane binding capacity. To conclude, S. pombe and S. cerevisiae model similar yet distinct aspects of alpha-synuclein biology, and both organisms shed insight into alpha-synuclein's role in PD pathogenesis.

Polysynthetic Twinning in Poly(vinylcyclohexane) Single Crystals and “Fractional” Secondary Nucleation in Polymer Crystal Growth

The internal structure of single crystals and twinned crystals of isotactic poly(vinylcyclohexane) (PVCH) has been investigated by electron diffraction and dark-field imaging following a procedure introduced by Pradère et al. (Macromolecules 1988, 21, 2747). Crystals produced in thin film at high Tc are single crystalline. At somewhat lower Tc, they display large twinned sectors bounded by (200) and (020) planes only. PVCH crystals produced from squalane or phenyldecane solutions display very small, elongated twinned domains oriented normal to the growth faces: the crystals are made of polysynthetic twinned growth sectors. A specific and growth sector dependent streaking indicates that the lattices are shifted by one-quarter of the unit-cell edge across the twin planes: the growth faces are jagged. These features are discussed in the general context of polymer nucleation and growth. Deposition of the initial stem in the growth face takes advantage of the existing step associated with the twin plane, a process that can be described as a “fractional” secondary surface nucleation process. Lateral spread, i.e., completion of the growth face, is limited by the jagged surface. Since both secondary nucleation and lateral spread are determined or limited by structural features, the usual distinction of different growth regimes is blurred.

Polyglutamine aggregation nucleation: thermodynamics of a highly unfavorable protein folding reaction.

Polyglutamine (polyGln) aggregation is implicated in the disease progression of Huntington's disease and other expanded CAG repeat diseases. PolyGln aggregation in vitro follows a simple nucleated growth polymerization pathway without apparent complications such as populated intermediates, alternative assembly pathways, or secondary nucleation phenomena. Previous analysis of the aggregation of simple polyGln peptides revealed that the critical nucleus (the number of monomeric units involved in the formation of an energetically unfavorable aggregation nucleus) is equal to one, suggesting that polyGln nucleation can be viewed as an unfavorable protein folding reaction. We provide here a method for experimentally determining the number of elongation growth sites per unit weight for any polyGln aggregate preparation, a key parameter required for completion of the nucleation kinetics analysis and determination of the thermodynamics of nucleation. We find that, for the polyGln peptide Q(47), the second-order rate constant for fibril elongation is 11,400 liters/mol per s, whereas K(n*)), the equilibrium constant for nucleation of aggregation, is remarkably small, equal to 2.6 x 10(-9). The latter value corresponds to a free energy of nucleus formation of +12.2 kcal/mol, a value consistent with a highly unfavorable folding reaction. The methods introduced here should allow further analysis of the energetics of polyGln nucleus formation and accurate comparisons of the seeding capabilities of different fibril preparations, a task of increasing importance in the amyloid field.

Influence of the N‐terminal domain on the aggregation properties of the prion protein

Prion diseases appear to be caused by the aggregation of the cellular prion protein (PrP(C)) into an infectious form denoted PrP(Sc). The in vitro aggregation of the prion protein has been extensively investigated, yet many of these studies utilize truncated polypeptides. Because the C-terminal portion of PrP(Sc) is protease-resistant and retains infectivity, it is assumed that studies on this fragment are most relevant. The full-length protein can be distinguished from the truncated protein because it contains a largely structured, alpha-helical, C-terminal region in addition to an N terminus that is unstructured in the absence of metal ion binding. Herein, the in vitro aggregation of a truncated portion of the prion protein (PrP 90-231) and a full-length version (PrP 23-231) were compared. In each case, concentration-dependent aggregation was analyzed to discern whether it proceeds by a nucleation-dependent pathway. Both protein constructs appear to aggregate via a nucleated polymerization with a small nucleus size, yet the later steps differ. The full-length protein forms larger aggregates than the truncated protein, indicating that the N terminus may mediate higher-order aggregation processes. In addition, the N terminus has an influence on the assembly state of PrP before aggregation begins, causing the full-length protein to adopt several oligomeric forms in a neutral pH buffer. Our results emphasize the importance of studying the full-length protein in addition to the truncated forms for in vitro aggregation studies in order to make valid hypotheses about the mechanisms of prion aggregation and the distribution of aggregates in vivo.

Mutagenic analysis of the nucleation propensity of oxidized Alzheimer's β‐amyloid peptide

The formation of polypeptide aggregates represents a nucleated polymerization reaction in which an initial nucleation event (lag phase) is followed by the extension of newly formed nuclei into larger aggregates, including fibrils (growth phase). The efficiencies of these reactions relate to the lag time (lag phase) and to the rate of aggregation (growth phase), which can be determined from experimental aggregation curves. Here we present a mutagenic analysis in which we replace valine 18 of the Alzheimer's Abeta (1-40) peptide with 17 different amino acids and determine its effect on the lag time, and therefore, on the propensity of nucleation. Comparison with various physico-chemical properties shows that nucleation is affected in a predictable manner depending on the beta-sheet propensity and hydrophobicity of residue 18. In addition, we observe a direct proportionality between the lag time and the rate of aggregation. These data imply that the two reactions, nucleation and polymerization, are governed by very similar physicochemical principles and that they involve the formation of the same types of noncovalent interactions.

The aggregation kinetics of Alzheimer's β‐amyloid peptide is controlled by stochastic nucleation

We report here a recombinant expression system that allows production of large quantities of Alzheimer's Abeta(1-40) peptide. The material is competent to dissolve in water solutions with "random-coil properties," although its conformation and factual oligomerization state are determined by the physico-chemical solution conditions. When dissolved in 50 mM sodium phosphate buffer (pH 7.4) at 37 degrees C, the peptide is able to undergo a nucleated polymerization reaction. The aggregation profile is characteristically bipartite, consisting of lag and growth phase. From these curves we determined the lag time as well as the rate of aggregation. Both values were found to depend on peptide concentration and addition or formation of seeds. Moreover, they can vary considerably between apparently identical samples. These data imply that the nucleation event is under influence of a stochastic factor that can manifest itself in profound macroscopic differences in the aggregation kinetics of otherwise indistinguishable samples.

The Diaphanous-related formin dDia2 is required for the formation and maintenance of filopodia

Formins have important roles in the nucleation of actin and the formation of linear actin filaments, but their role in filopodium formation has remained elusive. Dictyostelium discoideum Diaphanous-related formin dDia2 is enriched at the tips of filopodia and interacts with profilin II and Rac1. An FH1FH2 fragment of dDia2 nucleated actin polymerization and removed capping protein from capped filament ends. Genetic studies showed that dDia2 is important for cell migration as well as the formation, elongation and maintenance of filopodia. Here we provide evidence that dDia2 specifically controls filopodial dynamics by regulating actin turnover at the barbed ends of actin filaments.

Kinetics of Fibril Formation by Polyalanine Peptides

Ordered beta-sheet complexes, termed amyloid fibrils, are the underlying structural components of the intra- and extracellular fibrillar protein deposits that are associated with a variety of human diseases, including Alzheimer's, Parkinson's, and the prion diseases. In this work, we investigated the kinetics of fibril formation using our newly developed off-lattice intermediate resolution model, PRIME. The model is simple enough to allow the treatment of large multichain systems while maintaining a fairly realistic description of protein dynamics without built-in bias toward any conformation when used in conjunction with constant temperature discontinuous molecular dynamics, a fast alternative to conventional molecular dynamics. Simulations were performed on systems containing 48-96 model Ac-KA14K-NH2 peptides. We found that fibril formation for polyalanines incorporate features that are characteristic of three models, the templated assembly, nucleated polymerization, and nucleated conformational conversion models, but that none of them gave a completely satisfactory description of the simulation kinetics. Fibril formation was nucleation-dependent, occurring after a lag time that decreased with increasing peptide concentration and increased with increasing temperature. Fibril formation appeared to be a conformational conversion process in which small amorphous aggregates --> beta-sheets --> ordered nucleus --> subsequent rapid growth of a small stable fibril or protofilament. Fibril growth in our simulations involved both beta-sheet elongation, in which the fibril grew by adding individual peptides to the end of each beta-sheet, and lateral addition, in which the fibril grew by adding already formed beta-sheets to its side. The initial rate of fibril formation increased with increasing concentration and decreased with increasing temperature.

Expression of various scinderin domains in chromaffin cells indicates that this protein acts as a molecular switch in the control of actin filament dynamics and exocytosis

Stimulation-induced chromaffin cell cortical F-actin disassembly allows the movement of vesicles towards exocytotic sites. Scinderin (Sc), a Ca2+-dependent protein, controls actin dynamics. Sc six domains have three actin, two PIP2 and two Ca2+-binding sites. F-actin severing activity of Sc is Ca2+-dependent, whereas Sc-evoked actin nucleation is Ca2+-independent. Sc domain role in secretion was studied by co-transfection of human growth hormone (hGH) reporter gene and green fluorescent protein (GFP)-fusion Sc constructs. Cells over-expressing actin severing Sc1-6 or Sc1-2 (first and second actin binding sites) constructs, increased F-actin disassembly and hGH release upon depolarization. Over-expression of nucleating Sc5-6, Sc5 or ScABP3 (third actin site) constructs decreased F-actin disassembly and hGH release upon stimulation. Over-expression of ScL5-6 or ScL5 (lack of third actin site) produced no changes. During secretion, actin sites 1 and 2 are involved in F-actin severing, whereas site 3 is responsible for nucleation (polymerization). Sc functions as a molecular switch in the control of actin (disassembly left arrow over right arrow assembly) and release (facilitation left arrow over right arrow inhibition). The position of the switch (severing left arrow over right arrow nucleation) may be controlled by [Ca2+]i. Thus, increase in [Ca2+]i produced by stimulation-induced Ca2+ entry would increase Sc-evoked cortical F-actin disassembly. Decrease in [Ca2+]i by either organelle sequestration or cell extrusion would favor Sc-evoked actin nucleation.

The role of pH on instability and aggregation of sickle hemoglobin solutions.

Understanding the physical basis of protein aggregation covers strong physical and biomedical interests. Sickle hemoglobin (HbS) is a point-mutant form of normal human adult hemoglobin (HbA). It is responsible for the first identified "molecular disease," as its propensity to aggregation is responsible for sickle cell disease. At moderately higher than physiological pH value, this propensity is inhibited: The rate of aggregate nucleation becomes exceedingly small and solubility after polymerization increases. These order-of-magnitude effects on polymer nucleation rates and concurrent relatively modest changes of solubility after polymerization are here shown to be related to both pH-induced changes of location and shape of the liquid-liquid demixing (LLD) region. This allows establishment of a self-consistent contact between the thermodynamics of the solution as such (i.e., the LLD region), the kinetics of fiber nucleation, the theory of percolation, and the thermodynamics of gelation. The observed pH-induced changes are largely attributable to strong perturbations of hydrophobic hydration configurations and related free energy by electric charges. Similar mechanisms of effective control of aggregate nucleation rates by means of agents such as cosolutes, pH, salts, and additives, shifting the LLD and associated regions of anomalous fluctuations, promise to be relevant to the whole field of protein aggregation pathologies.

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.

Energetics of the Cooperative Assembly of Cell Division Protein FtsZ and the Nucleotide Hydrolysis Switch

FtsZ is the first protein recruited to the bacterial division site, where it forms the cytokinetic Z ring. We have determined the functional energetics of FtsZ assembly, employing FtsZ from the thermophilic Archaea Methanococcus jannaschii bound to GTP, GMPCPP, GDP, or GMPCP, under different solution conditions. FtsZ oligomerizes in a magnesium-insensitive manner. FtsZ cooperatively assembles with magnesium and GTP or GMPCPP into large polymers, following a nucleated condensation polymerization mechanism, under nucleotide hydrolyzing and non-hydrolyzing conditions. The effect of temperature on the critical concentration indicates polymer elongation with an apparent heat capacity change of -800 +/- 100 cal mol-1 K-1 and positive enthalpy and entropy changes, compatible with axial hydrophobic contacts of each FtsZ in the polymer, and predicts optimal polymer stability near 75 degrees C. Assembly entails the binding of one medium affinity magnesium ion and the uptake of one proton per FtsZ. Interestingly, GDP- or GMPCP-liganded FtsZ cooperatively form helically curved polymers, with an elongation only 1-2 kcal mol-1 more unfavorable than the straight polymers formed with nucleotide triphosphate, suggesting a physiological requirement for FtsZ polymerization inhibitors. This GTP hydrolysis switch should provide the basic properties for FtsZ polymer disassembly and its functional dynamics.

Polymer coating/encapsulation of nanoparticles using a supercritical anti-solvent process

Coating or encapsulation of nanoparticles is a major challenge due to the extremely small size, high surface energy, and high surface area of the nanoparticles. In this paper we describe a new method using supercritical CO 2 as an anti-solvent (SAS) for nanoparticle coating/encapsulation. A model system, using silica nanoparticles as host particles and Eudragit polymer as the coating material, was chosen for this purpose. The SAS process causes a heterogeneous polymer nucleation with the nanoparticles acting as nuclei and a subsequent growth of polymer on the surface of the nanoparticles induced by mass transfer and phase transition. A polymer matrix structure of encapsulated nanoparticles is formed by agglomeration of the coated nanoparticles. Field emission scanning electron microscopy, transmission electron microscopy, electron energy loss spectroscopy and Fourier transform infrared spectroscopy were used to characterize the coated/encapsulated silica nanoparticles.

Ultrafast crystallization of polar polymer melts

Primary nucleation of poly(vinylidene fluoride) (pVDF) from bulk entangled amorphous polymer melts has been observed from molecular dynamics (MD) simulations. This is the first instance of spontaneous primary nucleation of an entangled bulk polymer in a MD simulation. The melt-to-crystal phase transition occurs via a three-stage process. The ordered phase is found to consist of mainly chain-folded lamella with predominantly adjacent re-entry. The observed crystal polymorphs correspond to either the well known β phase or form I polymorph or a crystal structure that does not coincide with any of the known experimental polymorphs for pVDF, but is found to be strikingly similar to the β structure but with antiparallel alignment of the dipole moments normal to the polymer chain axis. The time required for the onset of nucleation is found to decrease with the number of monomers in the polymer, while the opposite is found for the growth rate of the crystal. We find that the crystallization of the polymer is mediated by electrostatics; in fact the crystal structure spontaneously melts when the electrostatic interactions are removed.

Huntington's disease age-of-onset linked to polyglutamine aggregation nucleation.

In Huntington's Disease and related expanded CAG repeat diseases, a polyglutamine [poly(Gln)] sequence containing 36 repeats in the corresponding disease protein is benign, whereas a sequence with only 2-3 additional glutamines is associated with disease risk. Above this threshold range, longer repeat lengths are associated with earlier ages-of-onset. To investigate the biophysical basis of these effects, we studied the in vitro aggregation kinetics of a series of poly(Gln) peptides. We find that poly(Gln) peptides in solution at 37 degrees C undergo a random coil to beta-sheet transition with kinetics superimposable on their aggregation kinetics, suggesting the absence of soluble, beta-sheet-rich intermediates in the aggregation process. Details of the time course of aggregate growth confirm that poly(Gln) aggregation occurs by nucleated growth polymerization. Surprisingly, however, and in contrast to conventional models of nucleated growth polymerization of proteins, we find that the aggregation nucleus is a monomer. That is, nucleation of poly(Gln) aggregation corresponds to an unfavorable protein folding reaction. Using parameters derived from the kinetic analysis, we estimate the difference in the free energy of nucleus formation between benign and pathological length poly(Gln)s to be less than 1 kcal/mol. We also use the kinetic parameters to calculate predicted aggregation curves for very low concentrations of poly(Gln) that might obtain in the cell. The repeat-length-dependent differences in predicted aggregation lag times are in the same range as the length-dependent age-of-onset differences in Huntington's disease, suggesting that the biophysics of poly(Gln) aggregation nucleation may play a major role in determining disease onset.