First, we explored the effect of the expression of AS69 on the viability of living cells and the association of $\alpha$-synuclein in a cellular environment. In these model systems we not only expressed WT $\alpha$-synuclein but also the A53T variant, which has been associated with familial PD and which produces aggregates more quickly than the WT protein (Conway et al., 1998; Flagmeier et al., 2016). We first used bimolecular fluorescence complementation (BiFC) to probe whether AS69 can interfere with formation of oligomeric $\alpha$-synuclein species in living HEK293T cells (Falkenburger et al., 2016). Constructs of WT and A53T $\alpha$-synuclein were tagged with the C-terminal segment of the fluorescent protein Venus (synuclein-VC) or with the complementary N-terminal segment of this protein (VN-synuclein) (Figure 2a). Neither of the two Venus fragments shows significant fluorescence by itself, but together they can generate a functional fluorescent protein (Bae et al., 2014) and hence function as a reporter for protein-protein interaction. We then transfected HEK293T cells with both synuclein-VC and VN-synuclein, in addition to AS69 (or LacZ as a control) and determined by flow cytometry the fraction of cells that displayed Venus fluorescence (Figure 2b, the raw data can be found in the table in Figure 2—source data 1). In the absence of AS69, the fraction of fluorescent cells was larger with the expression of A53T-$\alpha$-synuclein than WT-$\alpha$-synuclein (Figure 2b, p<0.05, two-way ANOVA). Co-expression of AS69 with both variants reduced the number and fraction of fluorescent cells (Figure 2b, p<0.05 for WT and p<0.01 for A53T, two-way ANOVA). AS69 did not, however, significantly affect the total quantity of $\alpha$-synuclein in the cells, as determined from immunoblots (Figure 2c and d). This finding is consistent with the hypothesis that the effects of AS69 in this cellular model system result from inhibition of a direct interaction between $\alpha$-synuclein molecules, and not from an enhanced clearance of $\alpha$-synuclein. Despite the enhanced affinity for self-interaction which the fluorescence complementation tag might convey to $\alpha$-synuclein compared to the untagged protein, the affinity for AS69 is high enough to sequester a significant proportion of the $\alpha$-synuclein in living cells.

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Figure 2—source data 1

Raw cell counts of cells from the three independent experiments shown in Figure 2b.

The data can be found under the following link: https://osf.io/qs2yf/.

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Having established that $\alpha$-synuclein and AS69 can interact in cells, we next probed the effects of AS69 on the formation of larger, optically visible aggregates of $\alpha$-synuclein by transfecting HEK293T cells with A53T-$\alpha$-synuclein tagged with enhanced green fluorescent protein (EGFP) as previously described (Opazo et al., 2008; Karpinar et al., 2009; Dinter et al., 2016; Figure 2e). The distribution of EGFP within transfected cells was classified as 'homogenous', 'containing particles' or 'unhealthy' (rounded cells that in time-lapse microscopy were observed to subsequently undergo apoptosis). Co-expression of AS69 with A53T $\alpha$-synuclein led to an increase in the fraction of cells with a 'homogenous' distribution of EGFP and fewer cells showed $\alpha$-synuclein particles relative to those cells without AS69 (Figure 2f). These findings indicate that the co-expression of AS69 reduces formation of visible aggregates in cultured human cells.

Subsequently, we tested the effects AS69 has in Drosophila melanogaster (fruit flies) expressing untagged A53T-$\alpha$-synuclein in neurons (Figure 3). In the absence of AS69, these flies show a progressive reduction in the spontaneous climbing (i.e. neuronal impairment) between 15 and 25 days of age (Butler et al., 2012; Dinter et al., 2016; illustrated in Figure 3a). We then generated flies co-expressing either AS69 or GFP (as a control) with A53T $\alpha$-synuclein in neurons. Flies expressing AS69 and A53T $\alpha$-synuclein showed preserved climbing behaviour (Figure 3b, two-way ANOVA), demonstrating that neuronal expression of AS69 reduces the phenotype in this fly model of A53T $\alpha$-synuclein toxicity. We further went on to determine whether or not the observed effect of AS69 on climbing behaviour could result from a reduction in the number of $\alpha$-synuclein aggregates and used flies expressing in all neurons one copy of A53T-$\alpha$-synuclein fused to VC, one copy of A53T-$\alpha$-synuclein fused VN (Prasad et al., 2019), and, in addition, AS69 or 'always early RNAi' (see Materials and methods section) as a control. Aggregates of $\alpha$-synuclein were quantified by a filter trap assay in which urea-treated lysates of fly heads were passed through a membrane and the quantity of $\alpha$-synuclein aggregates retained in the membrane was detected by antibodies raised against $\alpha$-synuclein (illustrated in Figure 3c). We found that the quantity of aggregates retained in the filter was significantly smaller in lysates from flies co-expressing AS69 and A53T-$\alpha$-synuclein than in lysates from flies only expressing VN- and VC-tagged A53T-$\alpha$-synuclein (Figure 3d and e). These findings confirm that AS69 reduces high molecular weight aggregates of $\alpha$-synuclein in neuronal cells of Drosophila melanogaster.

Figure 3

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We next set out to elucidate the origin of the remarkable ability of AS69 to inhibit $\alpha$-synuclein aggregate formation in cells and in vivo (Figure 2, Figure 3), and amyloid fibril formation in vitro (Mirecka et al., 2014). To this end, we performed a detailed mechanistic analysis, where we examined the effect of AS69 on the growth (Buell et al., 2014a), autocatalytic amplification (Buell et al., 2014a; Flagmeier et al., 2016) and lipid-induced formation (Galvagnion et al., 2015) of $\alpha$-synuclein amyloid fibrils. We first carried out experiments in the presence of micromolar concentrations (in monomer equivalents) of pre-formed seed fibrils of $\alpha$-synuclein at neutral pH under quiescent conditions (Figure 4a,b). We have shown previously that under these conditions only fibril elongation through addition of monomeric $\alpha$-synuclein to fibril ends occurs at detectable rates (Buell et al., 2014a), and that the rate of de novo formation of fibrils is negligible. We therefore examined the effects of AS69 on fibril elongation and analyzed these data by fitting linear functions to the early stages of the aggregation time courses (see Appendix 1 for details of the analysis). The results indicate that fibril elongation is indeed inhibited by AS69 in a stoichiometric concentration-dependent manner (Figure 4c). In this experiment, both the seed fibrils and the AS69 compete for the monomeric $\alpha$-synuclein and the relative affinities determine the kinetics and thermodynamics of the system.

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To obtain an estimate of the affinity of monomeric $\alpha$-synuclein for the ends of fibrils, we performed elongation experiments at low monomer concentrations in the absence of AS69. We found evidence that the fibrils are able to elongate in the presence of 0.5 μM monomeric $\alpha$-synuclein (see Appendix 1), providing an upper bound of the critical concentration (which is formally equivalent to a dissociation constant, see Appendix 1). Despite the similar affinity of monomeric $\alpha$-synuclein for both fibril ends and AS69, the timescales of the two types of interactions are very different; monomeric $\alpha$-synuclein was found to interact on a timescale of seconds with AS69, as seen by isothermal titration calorimetry (ITC) experiments (Mirecka et al., 2014 and Figure 1b and c), but to incorporate on a timescale of minutes to hours into free fibril ends (see Figure 4b and Buell et al., 2014a; Wördehoff et al., 2015). The slow kinetics of the latter process is partly because the number of fibril ends is much smaller than the number of monomers (Buell et al., 2014a), such that each fibril sequentially recruits many $\alpha$-synuclein molecules. Therefore, the equilibrium between AS69 and $\alpha$-synuclein should be rapidly established and perturbed only very slowly by the presence of the fibrils.

The initial fibril elongation rate as a function of AS69 concentration was found to follow closely the predicted concentration of unbound $\alpha$-synuclein across the entire range of concentrations of AS69 used in this study, as shown in Figure 4c, where the solid line corresponds to the predicted elongation rate, assuming fibrils can only be elongated by unbound $\alpha$-synuclein. The inhibition of fibril elongation can therefore be explained quantitatively by the sequestration of monomeric $\alpha$-synuclein by AS69 and the assumption that the AS69:$\alpha$-synuclein complex cannot be incorporated into the growing fibril. This conclusion is supported by the finding that the fibrils formed in the presence of increasing concentrations of AS69 are morphologically indistinguishable from the fibrils formed in the absence of AS69 (as judged from AFM images, see Figure 4—figure supplement 1). Our kinetic analysis of fibril elongation in the presence of AS69 does not, however, suggest a preferential interaction with fibril ends, as such an interaction can be expected to lead to a sub-stoichiometric inhibition of fibril elongation, which is not observed in our experiments. Indeed, the finding that the effect on elongation can be quantitatively described by considering only the interaction of AS69 with monomeric $\alpha$-synuclein (Appendix 1) suggests a weak, if any, interaction of AS69 with fibrils. Furthermore, density gradient centrifugation (DGC) of samples containing only seeds and AS69 (Figure 5a and b) did not show AS69 to co-migrate with large species to any significant extent under conditions that favour elongation. In agreement with inhibition of fibril elongation by monomer sequestration, ZA${\beta }_3$W, a binding protein for amyloid-$\beta$ peptide (Grüning et al., 2013), which is a significantly weaker $\alpha$-synuclein binder than AS69, correspondingly showed a considerably weaker inhibitory effect on $\alpha$-synuclein fibril elongation (Figure 4—figure supplement 2).

Figure 5

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These findings clearly demonstrate that AS69 inhibits fibril elongation in a stoichiometric manner through monomer sequestration. Consequently, inhibition of fibril elongation cannot explain the previously observed sub-stoichiometric inhibition of $\alpha$-synuclein fibril formation by AS69 (Mirecka et al., 2014). We therefore performed seeded experiments under mildly acidic solution conditions in the presence of very low concentrations of pre-formed fibrils (nM monomer equivalents) under quiescent conditions (Figure 6a,b) (Buell et al., 2014a; Gaspar et al., 2017). Under those solution conditions, seeded aggregation has been shown to consist of two processes in addition to fibril elongation, namely secondary nucleation, which increases the number of growth competent fibril ends, and higher order assembly ('flocculation', Figure 6—figure supplement 1b,c), which decreases the overall aggregation rate by reducing the number of accessible fibrils through their burial within higher order aggregates (Buell et al., 2014a). The de novo formation of amyloid fibrils through primary nucleation is suppressed if the solution is not agitated and if non-binding surfaces are used (Figure 6—figure supplement 1a). We find that under these solution conditions, where only growth and secondary nucleation contribute to the increase in fibril mass and number, respectively, the seeded aggregation is inhibited in a strongly sub-stoichiometric manner (Figure 6b,c). We analysed these data to determine the maximum rate of aggregation (see Appendix 2 for details) using the framework from Cohen et al. (2011) (Figure 6c). Based on recent results on the concentration-dependence of autocatalytic secondary nucleation of $\alpha$-synuclein amyloid fibrils (Gaspar et al., 2017), we have calculated the predicted inhibitory effect from monomer sequestration by AS69 in Figure 6c (see Figure 6—figure supplement 2 and Appendix 2 for details). We find that, unlike the case of fibril elongation, monomer sequestration cannot explain the extent of inhibition, even by assuming a very high reaction order of 5 (i.e. a dependence of the rate of secondary nucleation on the 5th power of the free monomer concentration; $\frac{dP(t)}{dt}\propto m{(t)}^5$) which is not compatible with recent results, showing that secondary nucleation of $\alpha$-synuclein amylid fibrils depends only weakly on the concentration of free monomer (Gaspar et al., 2017). However, even in this unlikely scenario, the very strong inhibitory effect of low AS69 concentrations cannot be explained by monomer depletion.

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We have previously been able to rationalise inhibition of the secondary nucleation of $\alpha$-synuclein by the homologous protein $\beta$-synuclein through competition for binding sites on the surface of the fibrils (Brown et al., 2016). Here we find that AS69 is a significantly more efficient inhibitor of the autocatalytic amplification of $\alpha$-synuclein amyloid fibrils than $\beta$-synuclein (a similar degree of inhibition is achieved with a 10-fold lower concentration ratio). This result is particularly interesting in the light of the fact that AS69 binds efficiently to monomeric $\alpha$-synuclein under both neutral and mildly acidic solution conditions (Figure 1b,c), whereas we found no evidence for a relevant direct interaction between the monomeric forms of $\alpha$- and $\beta$-synuclein, given the complete absence of any inhibitory effect of $\beta$-synuclein on the elongation of $\alpha$-synuclein fibrils (Brown et al., 2016). Therefore, despite the vast majority of the AS69 being bound within a complex with monomeric $\alpha$-synuclein, AS69 is an efficient sub-stoichiometric inhibitor of the secondary nucleation of $\alpha$-synuclein. This finding suggests that in addition to inhibiting through competition for nucleation sites on the fibril surface, AS69 or its complex with $\alpha$-synuclein could interact directly with intermediates of the secondary nucleation process. To investigate whether AS69 binds to the fibril surface under these secondary nucleation-inducing solution conditions, we performed additional DGC experiments. Co-migration in the density gradient of AS69 with fibrils, which would imply direct interactions between these species, was undetectable (Figure 7a–c). If AS69 was able to inhibit secondary nucleation through binding to the fibril surface in the presence of a large excess of monomer, its affinity to fibril surfaces would need to be much higher than to monomeric $\alpha$-synuclein. This implies that under the conditions of the DGC experiments which were performed in the absence of monomeric $\alpha$-synuclein, all binding sites on the fibrils should be occupied. Therefore, the absence of detectable binding implies either a weak affinity for fibrils or a very low stoichiometry, that is a very low density of binding sites for AS69 on the fibril surface.

Figure 7

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We next tested whether binding of AS69 to oligomeric states of $\alpha$-synuclein could explain the efficient inhibition of secondary nucleation. The heterogeneous and often transient nature of oligomeric intermediates on the pathway to formation of amyloid fibrils makes any interaction between such species and AS69 difficult to probe. However, monomeric $\alpha$-synuclein can be converted into kinetically stable oligomers that can be studied in isolation, because they do not readily convert into amyloid fibrils (Lorenzen et al., 2014). Despite it not being likely that these species are fibril precursors, they are intermediate in size and structure between monomeric and fibrillar $\alpha$-synuclein and hence can serve as a model for AS69 binding to $\alpha$-synuclein oligomers. Using microscale thermophoresis (MST, Wolff et al., 2016) at neutral pH, we were able to confirm the binding of AS69 to both monomeric (Figure 6—figure supplement 3a) and oligomeric $\alpha$-synuclein (Figure 6—figure supplement 3b) and provide estimates of the respective binding affinities (ca. 300 nM for monomeric and ca. 30 nM for oligomeric $\alpha$-synuclein). The former value is in good agreement with results from ITC experiments under the same solution conditions (Figure 1b and Mirecka et al., 2014), whereas the affinity of AS69 to oligomeric $\alpha$-synuclein has not previously been determined. The finding that AS69 is able to inhibit secondary nucleation in a highly sub-stoichiometric manner in the presence of a large excess of free monomer, to which it binds with high affinity, necessitates that the interactions of AS69 with aggregation intermediates must be of significantly higher affinity, if they are to explain the inhibition. Otherwise the monomer would out-compete the aggregation intermediate for AS69 binding, because of the much lower concentration of the latter. An estimate (see Appendix 2 for details) suggests that the affinity of AS69 for aggregation intermediates would need to be several orders of magnitude higher than to $\alpha$-synuclein monomer to explain an inhibitory effect of the observed magnitude. This required affinity is indeed much higher than the affinity we have determined here for an oligomeric state of $\alpha$-synuclein.

The analysis described in the previous section suggests, therefore, that the $\alpha$-synuclein:AS69 complex itself could be the inhibitory species. The population of this complex is sufficiently high, even at low ratios of AS69:$\alpha$-synuclein, to interact with a considerable fraction of aggregation intermediates. It is possible, therefore, that while the AS69:$\alpha$-synuclein complex is unable to incorporate into a fibril end (see section above on the stoichiometric inhibition of fibril elongation), it can interact with oligomeric fibril precursors and block their conversion into fibrils. We tested this hypothesis by producing a molecular construct whereby $\alpha$-synuclein and AS69 are linked together with a flexible glycine tether that allows formation of an intramolecular complex (AS69fusASN). The formation of the intramolecular complex was verified by performing CD spectroscopy at 222 nm over the temperature range from 10 to 90°C and fitting the data to a two-state model (Pace et al., 1998) (see Figure 8—figure supplement 1). Both at neutral and mildly acidic pH, the fusion construct AS69fusASN has a higher thermal stability than the free AS69 and, indeed, as the stoichiometric mixture of AS69 and $\alpha$-synuclein (Table 1). The difference in melting temperatures between the covalent and non-covalent complex can be explained by the differences in the entropy of binding, which is more unfavourable in the case of the non-covalent complex, given the loss of three degrees of freedom of translational motion upon binding.

We performed weakly seeded aggregation experiments under conditions where secondary nucleation leads to the amplification of the added seed fibrils (see above) at different concentrations of AS69 (Figure 8a,c), as well as AS69-$\alpha$-syn complex (Figure 8b,d) We found that the pre-formed complex is a similarly efficient inhibitor as the free AS69 under secondary nucleation conditions (Figure 8e). These results provide strong support for our hypothesis that the AS69-$\alpha$-synuclein complex, covalent or non-covalent, is the species that is responsible for the sub-stoichiometric inhibition of secondary nucleation. Therefore, we propose a model whereby rather than requiring the binding of free AS69 to an aggregation intermediate, the AS69:$\alpha$-synuclein complex is able to incorporate into a fibril precursor and efficiently prevent it from undergoing the structural rearrangement required to transform into a growth-competent amyloid fibril.

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Having established and rationalised the high efficiency of AS69 to inhibit autocatalytic amplification of $\alpha$-synuclein amyloid fibrils through secondary nucleation, we next investigated whether the de novo formation of $\alpha$-synuclein amyloid fibrils is also efficiently inhibited. As experimental setup, we chose a recently developed paradigm of lipid-induced aggregation (Galvagnion et al., 2015), which allows analysis of the resulting kinetic data in a more quantitative manner compared to the widely employed conditions of strong mechanical agitation and high affinity multiwell plate surfaces. In the latter conditions, the dominant role of the air-water interface (Campioni et al., 2014) as well as of fragmentation have rendered challenging quantitative analysis of the resulting data. In the lipid-induced aggregation, under quiescent conditions and in non-binding plates, the nucleation on the lipid vesicles is the dominant source of new $\alpha$-synuclein amyloid fibrils. We therefore probed the inhibitory effect of AS69 on lipid vesicle (DMPS-SUV)-induced aggregation of $\alpha$-synuclein (Figure 9a,b). We then analysed the early times of the kinetic traces using a single-step nucleation model (Figure 9c) that includes only primary nucleation and fibril elongation (see Appendix 3). The results reveal that AS69 inhibits lipid-induced aggregation at sub-stoichiometric concentrations to $\alpha$-synuclein in a concentration-dependent manner (Figure 9c). To characterise the system $\alpha$-synuclein-AS69-DMPS-SUV in more detail, we performed titration experiments where we varied the concentration of SUVs at constant $\alpha$-synuclein:AS69 ratios of 10:1 and 1:1. We monitored the formation of $\alpha$-helical structure, induced by binding of $\alpha$-synuclein to the DMPS-SUV by circular dichroism (CD) spectroscopy (Figure 9—figure supplement 1a–c). We find that the system is well-described as a competition between the AS69 and the lipid vesicles for the monomeric $\alpha$-synuclein (Figure 9—figure supplement 1d and see Materials and methods section for details of the mathematical analysis). We simulated the effects that AS69 has on the aggregation process of $\alpha$-synuclein in the presence of lipids, assuming that sequestration of free monomer is the only mechanism through which AS69 inhibits the aggregation reaction (Figure 9c). The results show that the lipid-induced aggregation of $\alpha$-synuclein is inhibited by AS69 significantly more strongly than predicted by monomer sequestration alone. However, before being able to conclude that AS69 inhibits the lipid-induced aggregation of $\alpha$-synuclein through a mechanism similar to that defined above for secondary nucleation, it needs to be established whether or not AS69 can directly interact with the lipid vesicles and exert an inhibitory effect through this interaction. We have previously reported that this type of inhibition is displayed by $\beta$-synuclein, a homologous protein which directly competes with $\alpha$-synuclein for binding sites on the lipid vesicles (Brown et al., 2016). To test for a direct interaction between AS69 and the DMPS-SUV, we performed both isothermal titration and differential scanning calorimetry (ITC and DSC, Figure 9—figure supplement 2). We find that the melting temperature of DMPS vesicles is decreased in the presence of AS69 (Figure 9—figure supplement 2a,b) and, furthermore, titration of AS69 into DMPS-SUV reveals a complex signature of heat release and consumption (Figure 9—figure supplement 2c,d). While a detailed analysis of this interaction behaviour is beyond the scope of the present study, taken together these calorimetric experiments suggest indeed a direct interaction between AS69 and DMPS-SUV. Therefore, despite AS69 appearing to be a more potent inhibitor of lipid-induced aggregation than $\beta$-synuclein, with similar inhibitory effects for very different ratios of inhibitor to $\alpha$-synuclein of 5:1 ($\beta$-synuclein) and 1:10 (AS69), it cannot be excluded that the same mechanism of inhibition contributes significantly to the overall inhibitory effect in lipid-induced aggregation.

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Thioflavin T UltraPure Grade (ThT > 95%) was purchased from Eurogentec Ltd (Belgium). Sodium phosphate monobasic (NaH₂PO₄, BioPerformance Certified >99.0%), sodium phosphate dibasic (Na₂HPO₄, ReagentPlus, >99.0%) and sodium azide (NaN₃, ReagentPlus, >99.5%) were purchased from Sigma Aldrich, UK. 1,2-Dimyristoyl-sn-glycero-3-phospho-L-serine, sodium salt (DMPS) was purchased from Avanti Polar Lipids, Inc, USA.

$\alpha$-synuclein was expressed and purified as described previously (Hoyer et al., 2002; Buell et al., 2014a). To determine the concentrations in solution, we used the absorbance value of the protein measured at 275 nm and an extinction coefficient of 5600 M⁻¹cm⁻¹. The protein solutions were divided into aliquots, flash-frozen in liquid N₂ and stored at −80°C, until used. A pET302/NT-His plasmid carrying AS69 with a N-terminal hexahistag (on each monomer) was expressed and purified as previously described (Mirecka et al., 2014) in E. coli JM109(DE3) with small modifications. Briefly, 20 μl cell culture from a glycerol stock was used to inoculate 50 ml 2YT (PanReac AppliChem) with 100 μg / ml ampicillin overnight culture, from which 5 ml was added per 500 ml 2YT medium with 100 μg / ml ampicillin. Expression was induced when OD600 reached 0.6, using IPTG to a final concentration of 1 mM, after which the cells were grown for an additional 4 h; the temperature of growth and expression was 37°C and shaking was 110 RPM. Cells were harvested by centrifugation at 5000 g for 20 min at 4°C, after which the cell pellets were resuspended in 50 mM Tris:Cl pH 8, 500 mM NaCl, 20 mM imidazole, and one protease inhibitor cocktail tablet (Roche) before being placed at −20°C. Cells were thawed and lysed using a probe sonicator (Bandelin, Sonopuls UW 3200, Berlin, Germany) with a MS72 sonotrode, with pulses of 3 s with pauses of 5 s in between for a total of 5 min using 35% maximum power. Cell debris was removed by centrifugation at 13500 g for 20 min, before the supernatant was loaded on a 5 ml Histrap FF (GE Healtcare). A 50 mM imidazole-containing buffer (as opposed to 20 mM; see above) was loaded to remove unspecifically bound material before elution was performed using 250 mM imidazole. The eluate was placed on ice overnight before it was concentrated to a volume < 2.5 ml and then loaded onto a Hiload 16/600 Superdex 75 pg column, that had been equilibrated in 20 mM NaPi, pH 7.4, 50 mM NaCl, for collection of the dimer peak. Protein concentration was measured at 275 nm with an extinction coefficient of 2800 M⁻¹ cm⁻¹ , protein solutions were aliquoted, flash-frozen in in liquid N₂ and stored at −80°C. AS69fusASN with a C-terminal hexahistag was expressed from a pET302/CT-His plasmid and purified identically to AS69 with the only exception that an anion exchange chromatography step was included (identical to the one used for $\alpha$-synuclein). Protein concentration was measured at 275 nm with an extinction coefficient of 8400 M⁻¹ cm⁻¹, protein solutions were aliquoted, flash-frozen in in liquid N₂ and stored at −80°C.

Seed fibrils were produced under different solution conditions, depending on which type of experiments they were needed for (see section on ThT experiments below).

DMPS lipid powder was dissolved in 20 mM phosphate buffer (NaH₂PO₄/Na₂HPO₄), pH 6.5, 0.01% NaN₃ and stirred at 45°C for at least 2 h. The solutions were then frozen and thawed five times using dry ice and a water bath at 45°C. Lipid vesicles were prepared by sonication (Bandelin, Sonopuls HD 2070, 3 × 5 min, 50% cycle, 10% maximum power) and centrifuged at 15000 rpm for 30 min at 25°C. The average size of the vesicles was verified by dynamic light scattering (Zetasizer Nano ZSP, Malvern Instruments, Malvern, UK) to ensure a distribution centred at a diameter of 20 nm.

Samples were prepared as described before (Galvagnion et al., 2015) by incubating 20 μM $\alpha$-synuclein with 2 or 20 μM AS69 and DMPS concentrations ranging from 0 to 1.2 mM in 20 mM phosphate buffer, pH 6.5, 0.01% NaN₃. Far-UV CD spectra were recorded on a JASCO J-810 instrument (Tokyo, Japan) equipped with a Peltier thermally controlled cuvette holder at 30 °C. Quartz cuvettes with path lengths of 1 mm were used, and the CD signal was measured at 222 nm by averaging 60 individual measurements with a bandwidth of 1 nm, a data pitch of 0.2 nm, a scanning speed of 50 nm/min and a response time of 1 s. The signal of the buffer containing DMPS and different concentrations of AS69 was subtracted from that of the protein. The data were then analysed as described previously (Galvagnion et al., 2015; Brown et al., 2016). First the fraction of protein bound to DMPS for the different [$\alpha$-synuclein], [DMPS] and [AS69] used in our study was determined using the following equation:

where ${\displaystyle {\mathrm{C}\mathrm{D}}_{\mathrm{f}\mathrm{r}\mathrm{e}\mathrm{e}}}$ is the signal of $\alpha$-synuclein measured in the absence of both DMPS and AS69, ${\displaystyle {\mathrm{C}\mathrm{D}}_{\mathrm{b}\mathrm{o}\mathrm{u}\mathrm{n}\mathrm{d}}}$ is the signal of the $\alpha$-synuclein measured in the presence of DMPS only under saturating conditions and ${\displaystyle {\mathrm{C}\mathrm{D}}_{\mathrm{m}\mathrm{e}\mathrm{s}}}$ is the signal of the $\alpha$-synuclein measured at a given [DMPS] and [AS69].

The values of ${\displaystyle {\mathrm{x}}_{\mathrm{b}}}$ obtained from our CD measurements were then compared to those estimated from a competitive binding model where both AS69 and DMPS compete for the binding to $\alpha$-synuclein molecules using the binding constants of the systems AS69:$\alpha$-synuclein and DMPS:$\alpha$-synuclein, determined from previous studies (Mirecka et al., 2014; Galvagnion et al., 2015). We considered the following two equilibria:

that are described by the following equations:

with

where $K_{D,\alpha -DMPS}$, $K_{D,\alpha -AS69}$ are the binding constants of the system DMPS:$\alpha$-synuclein and AS69:$\alpha$-synuclein, respectively; $L_{\alpha }$ is the stoichiometry in which DMPS binds to $\alpha$-synuclein, that is the number of DMPS molecules interacting with one molecule of $\alpha$-synuclein; [$\alpha$ ],[${\alpha }_f$], [${\alpha }_b$] are the concentrations of total, free and DMPS-bound $\alpha$-synuclein; [AS69], [AS69_f], [AS69_b] are the concentrations of total, free and $\alpha$-synuclein-bound AS69; and [DMPS] and [DMPS_f] are the concentrations of total and free $\alpha$-synuclein. The change in the fraction of protein bound with increasing concentration of DMPS can be described using the standard solution of the cubic equation:

Its solution is not shown here because of its length. For each data point, the concentrations [${\alpha }_b$], [AS] and [DMPS] are known and the equilibrium constants and stoichiometry for the $\alpha$-synuclein:DMPS and $\alpha$-synuclein:AS69 systems were set to the values determined previously (Galvagnion et al., 2015; Mirecka et al., 2014).

DSC experiments with lipid vesicles, $\alpha$-synuclein and AS69 (Figure 9—figure supplement 2a and b) were performed as described previously (Galvagnion et al., 2016). We used a VP-DSC calorimeter (Malvern Instruments, Malvern, UK) at a scan rate of 1°C per minute. The lipid concentration was 1 mM and the protein concentrations are indicated in the figure legend.

ITC binding experiments between AS69 and $\alpha$-synuclein were performed on a Microcal iTC200 calorimeter (GE Healthcare) at 30°C. The buffer was either 20 mM sodium phosphate, 50 mM NaCl, pH 7.4, or 20 mM sodium acetate, pH 5.0. AS69 was used as titrant in the cell at a concentration of approximately 40 μM, and $\alpha$-synuclein at approximately 10-fold higher concentration as titrant in the syringe. The heat of post-saturation injections was averaged and subtracted from each injection to correct for heats of dilution and mixing. Data were processed using MicroCal Origin software provided with the calorimeter. Dissociation constants were obtained from a nonlinear least-squares fit to a 1:1 binding model.

ITC binding experiments between SUVs made from DMPS and AS69 ( Figure 9—figure supplement 2c and d) were performed using an ITC200 instrument (Malvern Instruments, Malvern, UK). A solution of 0.47 mM AS69 was titrated into 0.5 mM DMPS in 20 mM phosphate buffer pH 6.5 at 30°C, corresponding to the conditions under which the lipid-induced aggregation of $\alpha$-synuclein had been studied. An interaction between AS69 and DMPS vesicles can be clearly detected, and the binding behaviour is complex, with an initially exothermic interaction at low protein to lipid ratios, followed by an endothermic interaction at molar ratios higher than 0.05. Because of the complex binding signature, it is not straightforward to fit the data and extract a binding affinity but it can be estimated that the binding affinity is in the sub-micromolar range, comparable to that of $\alpha$-synuclein to the same lipid vesicles (Galvagnion et al., 2015).

The ThT experiments were performed under two distinct sets of solution conditions. Firstly, we used phosphate buffer (PB) at pH 6.5, where we have previously shown that highly quantitative kinetic data of amyloid fibril growth can be obtained, and where under strongly seeded and quiescent conditions, all nucleation processes can be neglected (Buell et al., 2014a). Furthermore, we also employed mildly acidic solution conditions (acetate buffer at pH 5.0), where secondary nucleation is strongly enhanced and can be conveniently studied (Buell et al., 2014a; Gaspar et al., 2017). In most of the ThT experiments, samples of 100 μl were loaded into a 96-well Half Area Black Flat Bottom Polystyrene NBS Microplate (Corning, product number 3881). 150 μl of water was added into the wells directly surrounding the wells containing sample, and the outer most wells were not used for experimental measurements. These measures minimise sample evaporation during prolonged kinetic experiments. The plate was sealed using clear sealing tape (Polyolefin Acrylate, Thermo Scientific) and placed inside a platereader (CLARIOStar or FLUOStar Omega, BMG LABTECH, Germany) that had been equilibrated to 37°C. Data points were obtained every 120–360 s, depending on the duration of the experiment. In some experiments, the fluorescence was read by averaging 12–20 points, measured in a ring with a diameter of 3 mm (orbital averaging mode). Excitation and emission in the CLARIOStar (monochromator) was 440 nm (15 nm bandwidth) and 485 nm (20 nm bandwidth), respectively. Excitation and emission in the FLUOStar Omega (filter) was 448 nm (10 nm bandwidth) and 482 nm (10 nm bandwidth), respectively. In addition to the proteins of interest and buffer, all samples contained 0.04% (w/v) NaN₃ and 40 or 50 μM ThT.

Fluorescently labelled $\alpha$-synuclein oligomers were prepared as described previously (Pinotsi et al., 2014; Wolff et al., 2016). In brief, we produced fluorescently labelled $\alpha$-synuclein monomer by expressing and purifying the N122C cystein variant of $\alpha$-synuclein, which was then labelled through an incubation with a 10-fold excess of Alexa 647 maleimide (Thermo Fisher Scientific, Loughborough, UK), followed by removal of the excess dye with a Superdex 200 10/300 Increase gel filtration column (GE Healthcare, Amersham, UK). Wild-type and fluorescently labeled N122C variant $\alpha$-synuclein were combined at a ratio of 30:1, corresponding approximately to the stoichiometry of the oligomers (Lorenzen et al., 2014), at a total concentration of ca. 200 μM, dialysed against distilled water for 24 h and lyophilised. The dry protein was redissolved in PBS at concentrations between 500 and 800 μM and incubated at RT overnight under quiescent conditions. The oligomers were then separated from the monomeric protein and larger aggregates using a Superdex 200 10/300 Increase column that had been equilibrated with 20 mM phosphate buffer pH 7.4 and 50 mM NaCl, collecting fractions of 500 μl. The exact concentrations of the oligomer fractions are difficult to determine, because of the weak absorption signal. However, based on the absorptions at 275 nm and 647 nm, we estimated the oligomer concentration to be 3–6 μM in monomer equivalents, corresponding to an oligomer number concentration of 100–200 nM, which also corresponds roughly to the concentration of Alexa label.

The DGC experiments were performed as previously described (Rösener et al., 2018). We performed DGC experiments both under conditions of neutral pH (pH 7.4), where the reaction is elongation dominated, and under mildly acidic conditions (pH 5.0,) where secondary nucleation strongly contributes to the reaction. We find that under both sets of conditions there is no detectable binding between amyloid fibrils and AS69.

The thermophoresis experiments with fluorescently labeled monomeric and oligomeric $\alpha$-synuclein were performed as described previously (Wolff et al., 2016), using a Monolith instrument (Nanotemper, Munich, Germany) and glass capillaries (Nanotemper, Munich, Germany) with hydrophobic coating (oligomeric $\alpha$-synuclein) or uncoated (monomeric $\alpha$-synuclein). A two-fold dilution series of AS69 in 20 mM phosphate buffer pH 7.4 with 50 mM NaCl was prepared and then either 10 μl of 5x diluted oligomers (corresponding to 0.6–1.2 μM) or 1 μM labelled monomer was added to each sample of the dilution series. We performed the binding experiments under these buffer conditions for optimal comparability with previous ITC experiments of AS69 binding to monomeric $\alpha$-synuclein (Mirecka et al., 2014).

MST experiments were performed at 40% laser power and 75% LED power (oligomers) or 60% laser power and 20% LED power (monomers). For calculation of the relative change in fluorescence from thermophoresis, the cursors were set before the temperature jump followed by 5 s after the temperature jump (oligomers) and 45 s after the temperature jump (monomers).

CD melting curves were obtained as described in Gauhar et al. (2014), with the sole difference that slightly higher concentrations of protein were used, and the samples were heated to 90°C rather than 80°C. The CD data were fitted directly using a two-state model to obtain the melting temperature, $T_m$, as described in Pace et al. (1998):

using least-square fitting from the Python packages scipy.optimize.curve_fit. $y$ is the CD signal in mdeg, $y_f+m_{f}T$ and $y_u+m_{u}T$ describes linear change in CD signal of the folded and unfolded state with respect to temperature, respectively, $T$ is the temperature in Kelvin, $R$ is the ideal constant constant, and $\mathrm{\Delta }{H}_m$ is the change in enthalpy at $T_m$.

HEK293 cells (RRID CVCL0063) were obtained from the Department of Biochemistry, RWTH Aachen University, Aachen, Germany, and were cultured and transfected using Metafectene as previously described (Dinter et al., 2016). Cell line authentication was performed by Eurofins Forensik, using PCR-single-locus-technology. Cell lines were tested for mycoplasma contamination. HEK293T cells were used because they are the established cell line for our protocol. A53T-$\alpha$-synuclein flexibly tagged with EGFP by the interaction of a PDZ domain with its binding motif was previously described (Opazo et al., 2008; Dinter et al., 2016). WT and A53T-$\alpha$-synuclein tagged by the C-terminal and N-terminal half of Venus was obtained from Prof. Tiago Outeiro (University of Goettingen, Germany).

Immunoblots were carried out 24 h after transfection as previously described (Dinter et al., 2016) using NP40 lysis buffer containing protease inhibitors (Pierce, Thermo Fisher Scientific) and the following primary antibodies: rabbit anti-$\alpha$-synuclein (1:500, No. 2642, Cell Signalling Technology, Danvers, USA), mouse anti-beta-tubulin (1:1000, E7, Developmental Studies Hybridoma Bank, Iowa, USA). Secondary antibodies were anti-mouse IgG (NXA931) and anti-rabbit IgG (NA934V) from GE Healthcare Life Sciences (1:10000). These antibodies produce several nonspecific bands that are also visible in cells not expressing $\alpha$-synuclein. Among the bands around 20 kDa observed with the $\alpha$-synuclein antibody, only the upper band is considered specific and was used for quantification (see Dinter et al., 2016 for details).

Cells were grown in six-well plates and used 24 h after transfection. Adherent cells were washed with phosphate buffer saline (PBS) three times and detached with trypsin. Subsequently, cells were collected in FACS tubes, centrifuged for 5 min at 2000 rpm and washed again with PBS. Cell pellets were finally resuspended in 200 μl of PBS. Flow cytometry was carried out by a FACSCalibur (BD Biosciences) using forward and sideward scatter to gate cells and a fluorescence threshold of 300 AFU to detect cells with Venus (YFP) fluorescence. This threshold was determined from measurements with untransfected cells and cells expressing either the N-terminal or the C-terminal half of Venus only.

For classification of EGFP distribution patterns, cells were grown on coverslips and fixed 24 h after transfection. The distribution of EGFP fluorescence was classified manually by a blinded observer into the categories 'homogenous distribution', 'containing particles' and 'unhealthy' (round, condensed cells) using an Olympus IX81 fluorescence microscope (60x oil objective, NA 1.35). At least 100 cells per coverslip were classified. In each experiment, three coverslips were evaluated per group and the results averaged.

Flies expressing A53T-$\alpha$-synuclein in neurons, $w[*];;P\{w[+mC]=GAL4-elav.L\}$, $P\{w[+mC]=UAS-HsapSNCA.A53T\}$ and flies expressing GFP under control of GAL4 $w[*];P(acman)\{w[+]=UAS-GFP\}5$ were previously described (Dinter et al., 2016). Flies expressing AS69 under control of GAL4, $w[118];;P\{w[+]=UAS-AS69\}$, were generated using standard P-element transformation (BestGene Inc). Expression of A53T-$\alpha$-synuclein fused to VN and VC in neurons was achieved by genetically crossing and recombining flies carrying GAL4 under the elav promoter and VN and VC tagged A53T-$\alpha$-synuclein under the UAS promoter. The resulting genotype of these flies is $P\{w[+mW.hs]=GawB\}elav[C155];P[w[+]=UAS-HsapSNCA[A53T]:VC]$, $PBac\{attB[+mC]=UAS-VN:HsapSNCA[A53T]\}/Cyo$. Flies expressing 'always early RNAi', w[1118]; P$\{GD4261\}$v13673, were used as control in experiments conducted with the A53T-$\alpha$-synuclein VN/VC expressing flies. These flies have been shown to have no effect in genetic screens for modifiers in neurodegenerative disease models. Flies were raised and maintained at 25°C under a 12 h dark/light cycle.

Virgins of the stock ${\displaystyle w[\ast ];;P\{w[+mC]=GAL4-elav.L\}}$, $P\{w[+mC]=UAS-HsapSNCA.A53T\}$ were either crossed to males ${\displaystyle w[118];;P\{w[+]=UAS-AS69\}}$, or $w[*];P(acman)]\{w[+]=UAS-GFP\}$5 (control). In the F1-progeny we selected for males with pan neural [A53T]$\alpha$-synuclein and either AS69 or GFP concomitant expression. Climbing analysis was performed 5, 15 and 25 days post eclosion as previously described (Dinter et al., 2016). For each time point and per genotype 10 flies were analyzed in 10 tapping experiments with 60 s resting interval and the results averaged. The crosses were repeated n = 3 times.

In parallel, 10 fly heads from the F1-progeny and also from male w[*]; P(acman)w[+]=UAS GFP flies were homogenized in 100 μl RIPA buffer using the Speedmil P12 (Analytik Jena AG). The lysates were centrifuged at 12000 rpm for 10 min and the supernatant collected and used for immunoblot analysis. The following primary antibodies were used: mouse anti-$\alpha$-synuclein (1:500, syn204, ab3309, Abcam) and mouse anti-syntaxin (1:500, 8C3, Developmental Studies Hybridoma Bank, Iowa, USA). Secondary antibody was anti-mouse IgG (NXA931) from GE Healthcare Life Sciences (1:5000).

Virgins of the stock ${\displaystyle P\{w[+mW.hs]=GawB\}elav[C155]}$, PBac$\{attB[+mC]=UAS-VN:HsapSNCA[A53T]\}/Cyo$ were either crossed to ${\displaystyle w[118];;P\{w[+]=UAS-AS69\}}$ or ${\displaystyle w[1118];P\{GD4261\}v13673}$ (control) males. In the F1-progeny we selected for males with pan neural [A53T]$\alpha$-synuclein and either AS69 or 'always early RNAi' concomitant expression. 10 fly heads were homogenized in 100 μl RIPA buffer using the Speedmill P12. The lysates were centrifuged at 12000 rpm for 10 min at 4°C and the supernatant collected. For the filter trap assay, equal protein amounts of RIPA fly head lysates (30 μg) were adjusted to equal volumes. An equal volume of urea buffer (8 M) was subsequently added, samples were incubated rolling at 4°C for 1 h and sonicated in a water bath for 10 min. SDS and DTT were added to a final concentration of 2% and 50 mM. Using a dot blot filtration unit, the resulting solutions were filtered through a 0.2 μm nitrocellulose membrane (Whatman) previously equilibrated with 0.1% SDS in TBS and afterwards washed in TBS-T. Membranes were further treated as an immunoblot described previously.

In the case of aggregation experiments at high concentrations (μM) of pre-formed seeds under quiescent conditions, primary nucleation and fragmentation of $\alpha$-synuclein amyloid fibrils can be neglected (Buell et al., 2014a). The aggregation kinetics were analysed as previously reported by fitting a linear function to the early times of the kinetic traces (Buell et al., 2014a), with the exception that fitting was only performed after the initial decrease in fluorescence intensity, which is due to the temperature dependence of ThT fluorescence and a consequence of the thermal equilibration of the multiwell-plate prepared at room temperature. The fit was performed through five time points starting from the point of minimal fluorescence intensity (see Appendix 1—figure 1). The temperature-induced decrease in fluorescence intensity is superimposed to the increase in fluorescence due to fibril elongation. Therefore, using the initial growth rates likely leads to a small but systematic underestimation of the elongation rates. This fitting procedure was performed to obtain the values of $2k_{+}P(0)m(0)$, where $k_{+}$ is the fibril elongation rate constant, $m(0)$ the initial monomer concentration and ${\displaystyle P(0)m(0)}$ the initial number concentration of fibrils. For the comparison of the rates at different concentrations of AS69, we then calculate the ratios $r$:

$r$ is the ratio of the initial gradient fitted to the kinetic trace for monomer elongating fibrils in the presence of AS69 and the initial gradient fitted to the kinetic trace for monomer elongating fibrils in the absence of AS69. $P(0)$ is the initial number concentration of fibrils, which is constant, as the same stock solution of seeds was used, and $m(0)$ is the initial monomer concentrations. For the prediction in Figure 4 of the main manuscript, we calculated the equilibrium concentrations of unbound $\alpha$-synuclein, $m(0,[AS69])={[m]}_{\text{free}}$ as:

where the values obtained at different ${[AS69]}_{\text{tot}}$ were then used for $m(0,[AS69])$ in Equation 9. This procedure corresponds to the assumption that the only effect of the AS69 is to sequester soluble $\alpha$-synuclein.

Appendix 1—figure 1

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Seeded aggregation experiments at very low monomer concentrations (0.75 μM seeds) were performed in order to test whether a concentration could be determined at which no net elongation is observed (Appendix 1—figure 2). The concentration of free monomer at which the rates of fibril elongation and dissociation are equal corresponds to the equilibrium concentration (Buell et al., 2014b):

where ${\displaystyle k_{+}}$ is the elongation rate constant and ${\displaystyle k_{-}}$ is the dissociation rate constant. The equilibrium constant of monomer addition to fibril ends therefore corresponds to the inverse of the monomer concentration at equilibrium:

Appendix 1—figure 2

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The results of these experiments are shown in Appendix 1—figure 2. We find that even at a concentration as low as 0.5 μM, the slight increase over time of Thioflavin-T fluorescence suggests that the fibril mass increases. This result is significant, given that the ThT fluorescence in a sample that contains only fibrils decreases over time. The fact that all samples, including that measured in the absence of added $\alpha$-synuclein monomer, show an increase in ThT fluorescence during the first hour could be explained through sedimentation processes. We have shown previously that the sedimentation of fibrils can lead to an increase in detected ThT signal if the fluorescence is read from the bottom of the multiwell plate (Buell et al., 2014a). However, the subsequent increase in fluorescence intensity over several hours at concentrations of 0.5 μM or higher suggests an increase in fibril mass, and hence that the critical concentration under these conditions is lower than 0.5 μM.

Aggregation experiments were also performed at very low (nM) seed concentrations at mildly acidic pH and under quiescent conditions, where it has been shown that autocatalytic secondary nucleation of $\alpha$-synuclein amyloid fibrils plays an important role (Buell et al., 2014a). In the present study, we performed these aggregation experiments in 20 mM sodium acetate buffer at pH 5.0, well below the threshold for secondary nucleation (Buell et al., 2014a).

In order to quantitatively analyse the effects that AS69 and AS69fusASN exert on secondary nucleation, we started with the following equation describing the maximum aggregation rate in the presence of autocatalytic secondary nucleation (Cohen et al., 2011):

Where $M(\mathrm{\infty })$ is the long time limit of the fibrillar mass concentration, $m(0)$ is the starting concentration of monomeric $\alpha$-synuclein, $n_2$ is the effective nucleus size of secondary nucleation, $k_{+}$ and $k_{\text{off}}$ are the rate constants of elongation and de-polymerisation respectively, and $k_2$ is the rate constant of secondary nucleation. For our analysis, we assumed the rate of de-polymerisation to be negligible and that $M(\mathrm{\infty })$ was not altered by the presence of AS69. Furthermore we use the upper limit of how much monomer the AS69 could possibly sequester, which is equal to the AS69 concentration. Under these assumptions, the maximum rates relative to the case where no inhibitor was present can be described as:

Where $r_{\text{max},0}$ is the maximal aggregation rate in the absence of inhibitor, $r_{\text{max},I}$ is the maximal aggregation rate at inhibitor concentration $I$ . The values of $r_{\text{max},I}$ for each kinetic trace were found by applying the gradient function from numpy and smoothing the resulting curves using a ten-point sliding average. The maxima of the resulting curves were taken to be $r_{\text{max},I}$. For the simulations, $n_2$ was varied in order to test whether the sequestration of monomer in conjunction with a higher reaction order of secondary nucleation can explain the observed strong inhibitory effect. However, even a value of $n_2$ as high as five was not able to explain the strong decrease in aggregation rate as a function of increasing inhibitor concentration. Therefore, we conclude that monomer sequestration cannot explain the highly efficient inhibition of secondary nucleation by AS69.

In the main manuscript, we discuss that the efficient inhibition of secondary nucleation by AS69 is likely to stem either from an interaction of AS69 alone or of the AS69:$\alpha$-synuclein complex with an oligomeric aggregation intermediate. Given the low population of nuclei/oligomers compared to monomers during the aggregation time course, as well as the high affinity of the AS69 for monomeric $\alpha$-synuclein, its affinity for such intermediate species would have to be significantly higher than that to monomers. This can be illustrated with a simple argument. At the end of an aggregation experiment, the fibrils typically are up to several micrometers in length, corresponding to thousands of protein molecules per fibril. Therefore, the total number of ’on pathway’ oligomers that has formed during the aggregation process is three to four orders of magnitude smaller than the initial monomer concentration. In order to trap a significant fraction of these intermediates in the presence of a large excess of monomer, the affinity of AS69 to these intermediates would therefore have to be at least three orders of magnitude higher than that for monomer and hence be in the picomolar regime.

The alternative explanation, the binding of the AS69:$\alpha$-synuclein complex to the aggregation intermediate, is more plausible. A clear inhibitory effect is still observed at a ratio $\alpha$-synuclein:AS69 of 100:1, which according to the estimate above corresponds to at least one order of magnitude more AS69:$\alpha$-synuclein complex than ’on pathway’-intermediate, rendering an efficient interference with the nucleation process plausible. Therefore, we propose a model whereby rather than requiring the binding of free AS69 to an aggregation intermediate, the AS69:$\alpha$-synuclein complex is able to incorporate into a fibril precursor and efficiently prevent it from undergoing the structural rearrangement required to transform into a growth-competent amyloid fibril.

Appendix 3—figure 1

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The change in mass concentration of fibrils with time M(t) during the early time points of the lipid-induced aggregation of $\alpha$-synuclein aggregation was fitted using the single-step nucleation model described previously (Galvagnion et al., 2015) and the following equation (Meisl et al., 2016):

where $k_{+}$ is the elongation rate constant of fibrils from lipid vesicles, $k_n$ is the heterogeneous primary nucleation rate constant, $n$ is the reaction order of the heterogeneous primary nucleation reaction relative to the free monomer $m$, $b$ is the total mass concentration of the protein bound to the lipid at 100% coverage ($b=\frac{[\mathrm{DMPS}]}{L}$, with $L$ the stoichiometry) and $K_M$ is the Michaelis constant which defines the concentration of soluble protein above which the elongation rate no longer increases linearly (fixed at 125 μM; Galvagnion et al., 2015). The data was normalised such that the final amount of fibril mass was set to $2b$ for the traces where no AS69 was present as it was previously shown that the fibril mass is proportional to the concentration of DMPS (Galvagnion et al., 2015). A quadratic equation of the form $M(t)=a{t}^2$, was fitted to the early time points of the normalised aggregation data (see Appendix 3 subsection 3) where $a=\frac{{(K_M{k}_{+}{k}_n)}_{\mathrm{AS69}}bm{(0,[AS69])}^{n_{\mathrm{AS69}}+1}}{2(K_{M,AS69}+m(0,[As69]))}$. The aggregation rate, $\frac{dM(t)}{dt}$ in the presence of AS69 normalised by the rate in the absence of AS69, for the same initial concentrations of free monomer and monomer bound to the lipid, can be computed according to:

In order to test whether the lipid vesicle induced aggregation of $\alpha$-synuclein in the presence of AS69 can be explained by monomer sequestration alone, we simulated the ratio $r$ for different concentrations of AS69. Starting from Equation 15 and assuming values of $k_n{k}_{+}$, $K_M$, $b$ and $n$ independent of AS69 (which amounts to the assumption that the presence of AS69 does not change the mechanism of aggregation, but merely inhibits through depleting the free monomer) and using $n+1=1.2$ (see Galvagnion et al., 2015 for justification of $n=0.2$) it can be shown that $r$ takes the form:

Where $m(0,[AS69])$ was calculated using Equation 10. The result of this simulation is shown in Figure 9c.

The funders had no role in study design, data collection and interpretation, or the decision to submit the work for publication.

AKB thanks the Leverhulme Trust and the Parkinson’s and Movement Disorder Foundation (PMDF) for funding and the Novo Nordisk Foundation for support through a Novo Nordisk Foundation professorship. PF thanks the Böhringer Ingelheim Fonds and the Studienstiftung des Deutschen Volkes for support. CG thanks the Alexander von Humboldt Foundation and the European Commission (H2020-MSCA grant agreement No 706551) for support. This project has received funding from the European Research Council under the European Union’s Horizon 2020 research and innovation program, grant agreement No. 726368 (to WH). We thank Nadine Rösener for help with the density gradient centrifugation and Sabine Hamm for excellent technical assistance.

1. Received: February 25, 2019
2. Accepted: August 4, 2019
3. Accepted Manuscript published: August 7, 2019 (version 1)
4. Accepted Manuscript updated: August 21, 2019 (version 2)
5. Version of Record published: September 3, 2019 (version 3)
6. Version of Record updated: December 11, 2019 (version 4)

© 2019, Agerschou et al.

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