GM1 specifically interacts with alpha-synuclein and inhibits fibrillation

The aggregation of alpha-synuclein is believed to be a key step in the etiology of Parkinson's disease. Alpha-synuclein is found in the cytosol and is associated with membranes in the presynaptic region of neurons and has recently been reported to be associated with lipid rafts and caveolae. We examined the interactions between several brain sphingolipids and alpha-synuclein and found that alpha-synuclein specifically binds to ganglioside GM1-containing small unilamellar vesicles (SUVs). This results in the induction of substantial alpha-helical structure and inhibition or elimination of alpha-synuclein fibril formation, depending on the amount of GM1 present. SUVs containing total brain gangliosides, gangliosides GM2 or GM3, or asialo-GM1 had weak inhibitory effects on alpha-synuclein fibrillation and induced some alpha-helical structure, while all other sphingolipids studied showed negligible interaction with alpha-synuclein. alpha-Synuclein binding to GM1-containing SUVs was accompanied by formation of oligomers of alpha-synuclein. The familial mutant A53T alpha-synuclein interacted with GM1-containing SUVs in an analogous manner to wild type, whereas the A30P mutant showed minimal interaction. This is the first detailed report showing a direct association between GM1 and alpha-synuclein, which is attributed to specific interaction between helical alpha-synuclein and both the sialic acid and carbohydrate moieties of GM1. The recruitment of alpha-synuclein by GM1 to caveolae and lipid raft regions in membranes could explain alpha-synuclein's localization to presynaptic membranes and raises the possibility that perturbation of GM1/raft association could induce changes in alpha-synuclein that contribute to the pathogenesis of PD.     

Fibrillogenic and non-fibrillogenic ensembles of SDS-bound human alpha-synuclein

Fibril formation of alpha-synuclein is associated with several neurodegenerative diseases, including Parkinson's disease in humans. The anionic detergent sodium dodecyl sulfate (SDS) can accelerate the fibril formation in vitro. However, the molecular basis of this acceleration is not clear. Our study shows that native alpha-synuclein exhibits relatively less fibril growth despite providing fibril seeds for nucleation. The presence of SDS promotes the seeded fibril growth in a concentration-dependent manner, with an optimal concentration of 0.5-0.75 mM. We used isothermal calorimetry, hydrophobic dye binding and circular dichroism spectroscopy to characterize the protein-detergent interactions as a function of the concentration of SDS. Interaction of SDS with alpha-synuclein when studied by isothermal titration calorimetry and hydrophobic dye-binding reveals a similar characteristic optimal behavior between 0.5 mM and 0.75 mM SDS. The study shows two types of ensembles of alpha-synuclein and SDS: the fibrillogenic ensembles formed with optimal concentration of SDS around 0.5-0.75 mM are characterized by enhanced accessible hydrophobic surfaces and extended to partially helical conformation, while the less or non-fibrillogenic ensembles formed above 2 mM SDS are characterized by less accessible hydrophobic surfaces and maximal helical content. Little or no fibrillogenicity of the ensembles observed above 2 mM SDS could be partly because of the observed intrinsic instability of the fibrils under the condition.     

Lipid binding inhibits alpha-synuclein fibril formation

Parkinson's disease is the second most common neurodegenerative disorder, and the cause is unknown; however, substantial evidence implicates the aggregation of alpha-synuclein as a critical factor in the etiology of the disease. alpha-Synuclein is a relatively abundant brain protein of unknown function, and the purified protein is intrinsically unfolded. The amino acid sequence has seven repeats with an apolipoprotein lipid-binding motif, which are predicted to form amphiphilic helices. We have investigated the interaction of alpha-synuclein with lipid vesicles of different sizes and properties by monitoring the effects on the conformation of the protein and the kinetics of fibrillation. The nature of the interaction of alpha-synuclein with vesicles was highly dependent on the phospholipid composition, the ratio of alpha-synuclein to phospholipid, and the size of the vesicles. The strongest interactions were between alpha-synuclein and vesicles composed of 1,2-dipalmitoyl-sn-glycero-3-phosphate/1,2-dipalmitoyl-sn-glycero-3-phosphocholine and 1,2-dipalmitoyl-sn-glycero-3-phospho-RAC-(1-glycerol)/1,2-dipalmitoyl-sn-glycero-3-phosphocholine and involved formation of helical structure in alpha-synuclein. A strong correlation was observed between the induction of alpha-helix in alpha-synuclein and the inhibition of fibril formation. Thus, helical, membrane-bound alpha-synuclein is unlikely to contribute to aggregation and fibrillation. Given that a significant fraction of alpha-synuclein is membrane-bound in dopaminergic neurons, this observation has significant physiological significance.     

alpha-Synuclein membrane interactions and lipid specificity

With the discovery of missense mutations (A53T and A30P) in alpha-synuclein (alpha-Syn) in several families with early onset familial Parkinson's disease, alpha-Syn aggregation and fibril formation have been thought to play a role in the pathogenesis of alpha-synucleinopathies, such as Parkinson's disease, dementia with Lewy bodies, and multiple system atrophy. As previous reports have suggested that alpha-Syn plays a role in lipid transport and synaptic membrane biogenesis, we investigated whether alpha-Syn binds to a specific lipid ligand using thin layer chromatography overlay and examined the changes in its secondary structure using circular dichroism spectroscopy. alpha-Syn was found to bind to acidic phospholipid vesicles and this binding was significantly augmented by the presence of phosphatidylethanolamine, a neutral phospholipid. We further examined the interaction of alpha-Syn with lipids by in situ atomic force microscopy. The association of soluble wild-type alpha-Syn with planar lipid bilayers resulted in extensive bilayer disruption and the formation of amorphous aggregates and small fibrils. The A53T mutant alpha-Syn disrupted the lipid bilayers in a similar fashion but at a slower rate. These results suggest that alpha-Syn membrane interactions are physiologically important and the lipid composition of the cellular membranes may affect these interactions in vivo.     

PA700, the regulatory complex of the 26S proteasome, interferes with alpha-synuclein assembly

Parkinson's disease is characterized by the loss of dopaminergic neurons in the nigrostriatal pathway accompanied by the presence of intracellular cytoplasmic inclusions, termed Lewy bodies. Fibrillized alpha-synuclein forms the major component of Lewy bodies. We reported a specific interaction between rat alpha-synuclein and tat binding protein 1, a subunit of PA700, the regulatory complex of the 26S proteasome. It has been demonstrated that PA700 prevents the aggregation of misfolded, nonubiquinated substrates. In this study, we examine the effect of PA700 on the aggregation of wild-type and A53T mutant alpha-synuclein. PA700 inhibits both wild-type and A53T alpha-synuclein fibril formation as measured by Thioflavin T fluorescence. Using size exclusion chromatography, we present evidence for a stable PA700-alpha-synuclein complex. Sedimentation analyses reveal that PA700 sequesters alpha-synuclein in an assembly incompetent form. Analysis of the morphology of wild-type and A53T alpha-synuclein aggregates during the course of fibrillization by electron microscopy demonstrate the formation of amyloid-like fibrils. Secondary structure analyses of wild-type and A53T alpha-synuclein assembled in the presence of PA700 revealed a decrease in the overall amount of assembled alpha-synuclein with no significant change in protein conformation. Thus, PA700 acts on alpha-synuclein assembly and not on the structure of fibrils. We hypothesize that PA700 sequesters alpha-synuclein oligomeric species that are the precursors of the fibrillar form of the protein, thus preventing its assembly into fibrils.     

Molecular crowding accelerates fibrillization of alpha-synuclein: could an increase in the cytoplasmic protein concentration induce Parkinson's disease?

Parkinson's disease (PD) is one of many neurodegenerative diseases that are characterized by amyloid fibril formation. Alpha-synuclein is a primary component of the fibrillar neuronal inclusions, known as Lewy bodies, that are diagnostic of PD. In addition, the alpha-synuclein gene is linked to familial PD. Fibril formation by alpha-synuclein proceeds via discrete beta-sheet-rich oligomers, or protofibrils, that are consumed as fibrils grow. Both FPD mutations accelerate formation of protofibrils, suggesting that these intermediates, rather than the fibril product, trigger neuronal loss. In idiopathic PD, other factors may be responsible for accelerating protofibril formation by wild-type alpha-synuclein. One possible factor could be molecular crowding in the neuronal cytoplasm. We demonstrate here that crowding using inert polymers significantly reduced the lag time for protofibril formation and the conversion of the protofibril to the fibril, but did not affect the morphology of either species. Physiologically realistic changes in the degree of in vitro crowding have significant kinetic consequences. Thus, nonspecific changes in the total cytoplasmic protein concentration, induced by cell volume changes and/or altered protein degradation, could promote formation of and stabilize the alpha-synuclein protofibril.     

Metal-triggered structural transformations, aggregation, and fibrillation of human alpha-synuclein. A possible molecular NK between Parkinson's disease and heavy metal exposure.

Parkinson's disease involves the aggregation of alpha-synuclein to form fibrils, which are the major constituent of intracellular protein inclusions (Lewy bodies and Lewy neurites) in dopaminergic neurons of the substantia nigra. Occupational exposure to specific metals, especially manganese, copper, lead, iron, mercury, zinc, aluminum, appears to be a risk factor for Parkinson's disease based on epidemiological studies. Elevated levels of several of these metals have also been reported in the substantia nigra of Parkinson's disease subjects. We examined the effect of various metals on the kinetics of fibrillation of recombinant alpha-synuclein and in inducing conformational changes, as monitored by biophysical techniques. Several di- and trivalent metal ions caused significant accelerations in the rate of alpha-synuclein fibril formation. Aluminum was the most effective, along with copper(II), iron(III), cobalt(III), and manganese(II). The effectiveness correlated with increasing ion charge density. A correlation was noted between efficiency in stimulating fibrillation and inducing a conformational change, ascribed to formation of a partially folded intermediate. The potential for ligand bridging by polyvalent metal ions is proposed to be an important factor in the metal-induced conformational changes of alpha-synuclein. The results indicate that low concentrations of some metals can directly induce alpha-synuclein fibril formation.     

Folding and misfolding of alpha-synuclein on membranes

The protein alpha-synuclein is considered to play a major role in the etiology of Parkinson's disease. Because it is found in a classic amyloid fibril form within the characteristic intra-neuronal Lewy body deposits of the disease, aggregation of the protein is thought to be of critical importance, but the context in which the protein undergoes aggregation within cells remains unknown. The normal function of synucleins is poorly understood, but appears to involve membrane interactions, and in particular reversible binding to synaptic vesicle membranes. Structural studies of different states of alpha-synuclein, in the absence and presence of membranes or membrane mimetics, have led to models of how membrane-bound forms of the protein may contribute both to functional properties of the protein, as well as to membrane-induced self-assembly and aggregation. This article reviews this area, with a focus on a particular model that has emerged in the past few years. This article is part of a Special Issue entitled: Protein Folding in Membranes.     

The structure of a fibril-forming sequence, NNQQNY, in the context of a globular fold

Numerous human disorders are associated with the formation of protein fibrils. The fibril-forming capacity of a protein has been found in recent studies to be determined by a short segment of residues that forms a dual beta-sheet, called a steric zipper, in the spine of the fibril. The question arises as to whether a fibril-forming segment, when inserted within the sequence of a globular protein, will invariably cause the protein to form fibrils. Here we investigate this question by inserting the known fibril-forming segment NNQQNY into the globular enzyme, T7 endonuclease I. From earlier studies, we know that in its fibril form, NNQQNY is in an extended conformation. We first found that the inserted NNQQNY stimulates fibril formation of T7 endonuclease I in solution. Thus NNQQNY within T7 endonuclease I can exist in an extended conformation, capable of forming the steric zipper in the core of a fibril. We also found that T7 endonuclease I folds into a decamer that does not form fibrils. We determined the structure of the decamer by X-ray crystallography, finding an unusual oligomer without point group symmetry, and finding that the NNQQNY segments within the decamer adopt two twisted conformations, neither is apparently able to fibrillize. We conclude that twisting of fibril forming sequences from the fully extended conformation, imposed by the context of their placement in proteins, can interfere with fibril formation.     

The N-terminal repeat domain of alpha-synuclein inhibits beta-sheet and amyloid fibril formation

The conversion of alpha-synuclein into amyloid fibrils in the substantia nigra is linked to Parkinson's disease. Alpha-synuclein is natively unfolded in solution, but can be induced to form either alpha-helical or beta-sheet structure depending on its concentration and the solution conditions. The N-terminus of alpha-synuclein comprises seven 11-amino acid repeats (XKTKEGVXXXX) which can form an amphipathic alpha-helix. Why seven repeats, rather than six or eight, survived the evolutionary process is not clear. To probe this question, two sequence variants of alpha-synuclein, one with two fewer (del2) and one with two additional (plus2) repeats, were studied. As compared to wild-type alpha-synuclein, the plus2 variant disfavors the formation of beta-sheet-rich oligomers, including amyloid fibrils. In contrast, the truncated variant, del2, favors beta-sheet and fibril formation. We propose that the repeat number in WT alpha-synuclein represents an evolutionary balance between the functional conformer of alpha-synuclein (alpha-helix and/or random coil) and its pathogenic beta-sheet conformation. N-terminal truncation of alpha-synuclein may promote pathogenesis.     

The herbicide paraquat causes up-regulation and aggregation of alpha-synuclein in mice: paraquat and alpha-synuclein.

alpha-Synuclein-containing aggregates represent a feature of a variety of neurodegenerative disorders, including Parkinson's disease (PD). However, mechanisms that promote intraneuronal alpha-synuclein assembly remain poorly understood. Because pesticides, particularly the herbicide paraquat, have been suggested to play a role as PD risk factors, the hypothesis that interactions between alpha-synuclein and these environmental agents may contribute to aggregate formation was tested in this study. Paraquat markedly accelerated the in vitro rate of alpha-synuclein fibril formation in a dose-dependent fashion. When mice were exposed to the herbicide, brain levels of alpha-synuclein were significantly increased. This up-regulation followed a consistent pattern, with higher alpha-synuclein at 2 days after each of three weekly paraquat injections and with protein levels returning to control values by day 7 post-treatment. Paraquat exposure was also accompanied by aggregate formation. Thioflavine S-positive structures accumulated within neurons of the substantia nigra pars compacta, and dual labeling and confocal imaging confirmed that these aggregates contained alpha-synuclein. The results suggest that up-regulation of alpha-synuclein as a consequence of toxicant insult and direct interactions between the protein and environmental agents are potential mechanisms leading to alpha-synuclein pathology in neurodegenerative disorders.     

Instantaneous amyloid fibril formation of alpha-synuclein from the oligomeric granular structures in the presence of hexane

Amyloid fibrils found in various neurodegenerative disorders are also recognized as high-performance protein nanomaterials with a formidable rigidity. Elucidation of an underlying molecular mechanism of the amyloid fibril formation is crucial not only to develop controlling strategy toward the diseases, but also to apply the protein fibrils for future nanobiotechnology. alpha-Synuclein is an amyloidogenic protein responsible for the radiating filament formation within Lewy bodies of Parkinson's disease. The amyloid fibril formation of alpha-synuclein has been shown to be induced from the oligomeric granular species of the protein acting as a growing unit by experiencing structural rearrangement within the preformed oligomeric structures in the presence of an organic solvent of hexane. This granule-based concerted amyloid fibril formation model would parallel the prevalent notion of nucleation-dependent fibrillation mechanism in the area of amyloidosis.     

Alpha-synuclein can function as an antioxidant preventing oxidation of unsaturated lipid in vesicles

Alpha-synuclein, a presynaptic protein associated with Parkinson's disease, is found as both soluble cytosolic and membrane-bound forms. Although the function of alpha-synuclein is unknown, several observations suggest that its association with membranes is important. In the present study we investigated the effect of alpha-synuclein on lipid oxidation in membranes containing phospholipids with unsaturated fatty acids. The kinetics of lipid oxidation were monitored by the change in fluorescence intensity of the dye C11-BODIPY. We find that monomeric alpha-synuclein efficiently prevented lipid oxidation, whereas fibrillar alpha-synuclein had no such effect. Our data suggest that the prevention of unsaturated lipid oxidation by alpha-synuclein requires that it bind to the lipid membrane. The antioxidant function of alpha-synuclein is attributed to its facile oxidation via the formation of methionine sulfoxide, as shown by mass spectrometry. These findings suggest that the inhibition of lipid oxidation by alpha-synuclein may be a physiological function of the protein.     

Annular alpha-synuclein protofibrils are produced when spherical protofibrils are incubated in solution or bound to brain-derived membranes

The Parkinson's disease substantia nigra is characterized by the loss of dopaminergic neurons and the presence of cytoplasmic fibrillar Lewy bodies in surviving neurons. The major fibrillar protein of Lewy bodies is alpha-synuclein. Two point mutations in the alpha-synuclein gene are associated with autosomal-dominant Parkinson's disease (FPD). Studies of the in vitro fibrillization behavior of the mutant proteins suggest that fibril precursors, or alpha-synuclein protofibrils, rather than the fibrils, may be pathogenic. Atomic force microscopy (AFM) revealed two distinct forms of protofibrillar alpha-synuclein: rapidly formed spherical protofibrils and annular protofibrils, which were produced on prolonged incubation of spheres. The spherical protofibrils bound to brain-derived membrane fractions much more tightly than did monomeric or fibrillar alpha-synuclein, and membrane-associated annular protofibrils were observed. The structural features of alpha-synuclein annular protofibrils are reminiscent of bacterial pore-forming toxins and are consistent with their porelike activity in vitro. Thus, abnormal membrane permeabilization may be a pathogenic mechanism in PD.     

The impact of the E46K mutation on the properties of alpha-synuclein in its monomeric and oligomeric states

The third and most recently identified Parkinson's disease-linked variant of the neuronal protein alpha-synuclein to be identified (E46K) results in widespread brain pathology and early onset Parkinson symptoms (Zarranz et al. (2004) Ann. Neurol. 55, 164-173). Herein, we present biochemical and biophysical characterization of E46K alpha-synuclein in various states of aggregation. Circular dichroism and nuclear magnetic resonance spectroscopy illustrate that the E46K mutation results in subtle changes in the conformation of the monomeric protein both free in solution and in the presence of SDS micelles. However, it does not alter the overall helical propensity of the protein in the presence of phospholipids. E46K alpha-synuclein formed insoluble fibrils in vitro more rapidly than the wild type protein, and electron microscopy revealed that E46K alpha-synuclein fibrils possess a typical amyloid ultrastructure. E46K alpha-synuclein protofibrils, soluble aggregates that form during the transition from the monomeric form to the fibrillar form of alpha-synuclein, were characterized by electron microscopy and gel filtration and were found to include annular species. The unique ability of a subfraction of E46K and wild type alpha-synuclein protofibrils containing porelike species to permeabilize lipid vesicles was demonstrated in vitro using a real-time chromatographic method. In contrast to simplistic expectations, the total amount of protofibrils and the amount of permeabilizing activity per mole protein in the protofibril fraction were reduced by the E46K mutation. These results suggest that if the porelike activity of alpha-synuclein is important for neurotoxicity, there must be factors in the neuronal cytoplasm that reverse the trends in the intrinsic properties of E46K versus WT alpha-synuclein that are observed in vitro.     

Conformational behavior and aggregation of alpha-synuclein in organic solvents: modeling the effects of membranes

Intracellular proteinaceous inclusions (Lewy bodies and Lewy neurites) of alpha-synuclein are pathological hallmarks of neurodegenerative diseases such as Parkinson's disease, dementia with Lewy bodies (DLB), and multiple systemic atrophy. The molecular mechanisms underlying the aggregation of alpha-synuclein into such filamentous inclusions remain unknown, although many factors have been implicated, including interactions with lipid membranes. To model the effects of membrane fields on alpha-synuclein, we analyzed the structural and fibrillation properties of this protein in mixtures of water with simple and fluorinated alcohols. All solvents that were studied induced folding of alpha-synuclein, with the common first stage being formation of a partially folded intermediate with an enhanced propensity to fibrillate. Protein fibrillation was completely inhibited due to formation of beta-structure-enriched oligomers with high concentrations of methanol, ethanol, and propanol and moderate concentrations of trifluoroethanol (TFE), or because of the appearance of a highly alpha-helical conformation at high TFE and hexafluoro-2-propanol concentrations. At least to some extent, these conformational effects mimic those observed in the presence of phospholipid vesicles, and can explain some of the observed effects of membranes on alpha-synuclein fibrillation.     

Amyloid fibril formation of alpha-synuclein is accelerated by preformed amyloid seeds of other proteins: implications for the mechanism of transmissible conformational diseases

Alpha-synuclein is one of the causative proteins of familial Parkinson disease, which is characterized by neuronal inclusions named Lewy bodies. Lewy bodies include not only alpha-synuclein but also aggregates of other proteins. This fact raises a question as to whether the formation of alpha-synuclein amyloid fibrils in Lewy bodies may occur via interaction with fibrils derived from different proteins. To probe this hypothesis, we investigated in vitro fibril formation of human alpha-synuclein in the presence of preformed fibril seeds of various different proteins. We used three proteins, Escherichia coli chaperonin GroES, hen lysozyme, and bovine insulin, all of which have been shown to form amyloid fibrils. Very surprisingly, the formation of alpha-synuclein amyloid fibril was accelerated markedly in the presence of preformed seeds of GroES, lysozyme, and insulin fibrils. The structural characteristics of the natively unfolded state of alpha-synuclein may allow binding to various protein particles, which in turn triggers the formation (extension) of alpha-synuclein amyloid fibrils. This finding is very important for understanding the molecular mechanism of Parkinson disease and also provides interesting implications into the mechanism of transmissible conformational diseases.     

Synergistic influence of phosphorylation and metal ions on tau oligomer formation and coaggregation with alpha-synuclein at the single molecule level

ABSTRACT: BACKGROUND: Fibrillar amyloid-like deposits and co-deposits of tau and alpha-synuclein are found in several common neurodegenerative diseases. Recent evidence indicates that small oligomers are the most relevant toxic aggregate species. While tau fibril formation is well-characterized, factors influencing tau oligomerization and molecular interactions of tau and alpha-synuclein are not well understood. RESULTS: We used a novel approach applying confocal single-particle fluorescence to investigate the influence of tau phosphorylation and metal ions on tau oligomer formation and its coaggregation with alpha-synuclein at the level of individual oligomers. We show that Al3+ at physiologically relevant concentrations and tau phosphorylation by GSK-3beta exert synergistic effects on the formation of a distinct SDS-resistant tau oligomer species even at nanomolar protein concentration. Moreover, tau phosphorylation and Al3+ as well as Fe3+ enhanced both formation of mixed oligomers and recruitment of alpha-synuclein in pre-formed tau oligomers. CONCLUSIONS: Our findings provide a new perspective on interactions of tau phosphorylation, metal ions, and the formation of potentially toxic oligomer species, and elucidate molecular crosstalks between different aggregation pathways involved in neurodegeneration.     

The role of lipid-protein interactions in amyloid-type protein fibril formation

Structural transition of polypeptide chains into the beta-sheet state followed by amyloid fibril formation is the key characteristic of a number of the so-called conformational diseases. The multistep process of protein fibrillization can be modulated by a variety of factors, in particular by lipid-protein interactions. A wealth of experimental evidence provides support to the notion that amyloid fibril assembly and the toxicity of pre-fibrillar aggregates are closely related and are both intimately membrane associated phenomena. The present review summarizes the principal factors responsible for the enhancement of fibril formation in a membrane environment, viz. (i) structural transformation of polypeptide chain into a partially folded conformation, (ii) increase of the local concentration of a protein upon its membrane binding, (iii) aggregation-favoring orientation of the bound protein, and (iv) variation in the depth of bilayer penetration affecting the nucleation propensity of the membrane associated protein. The molecular mechanisms of membrane-mediated protein fibrillization are discussed. Importantly, the toxicity of lipid-induced pre-fibrillar aggregates is likely to have presented a very strong negative selection pressure in the evolution of amino acid sequences.     

Engineered alpha-synuclein prevents wild type and familial Parkin variant fibril formation

Alpha-synuclein is a major component of several pathological lesions diagnostic of specific neurodegenerative disease such as Parkinson's disease. This study focuses on the non-amyloid beta component of Alzheimer's disease amyloid, a key region for the aggregation and fibril formation of alpha-synuclein. Several mutations were introduced in an attempt to repress beta-strand formation and hydrophobic interaction-based aggregation. Although reducing the hydrophobicity drastically decreased fibril formation, the Val70Thr and Val70Pro mutations resulted in an unstable secondary structure thereby increasing non-structural aggregation, instead of fibril formation. Therefore, the stabilization of non-structural natively unfolded status is important to prevent alpha-synuclein fibril formation. Mixing the Val70Thr/Val71Thr double mutant, which has inherently low potential, with the fibril forming alpha-synucleins, WT and Ala53Thr, greatly reduced their fibril formation and aggregation. This double mutant has great potential for further therapeutic approaches.