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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Soft. Matter</journal-id>
<journal-title>Frontiers in Soft Matter</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Soft. Matter</abbrev-journal-title>
<issn pub-type="epub">2813-0499</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">741996</article-id>
<article-id pub-id-type="doi">10.3389/frsfm.2021.741996</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Soft Matter</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Comparing <italic>&#x3b1;</italic>-Synuclein Fibrils Formed in the Absence and Presence of a Model Lipid Membrane: A Small and Wide-Angle X-Ray Scattering Study</article-title>
<alt-title alt-title-type="left-running-head">Dubackic et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Alpha-Synuclein Fibrils in Lipid Presence</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Dubackic</surname>
<given-names>Marija</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1405739/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Linse</surname>
<given-names>Sara</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1224432/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sparr</surname>
<given-names>Emma</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1111259/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Olsson</surname>
<given-names>Ulf</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/919910/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Division of Physical Chemistry, Deparment of Chemistry, Lund University</institution>, <addr-line>Lund</addr-line>, <country>Sweden</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Division of Biochemistry and Structural Biology, Department of Chemistry, Lund University</institution>, <addr-line>Lund</addr-line>, <country>Sweden</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1274357/overview">Nabanita Saikia</ext-link>, Navajo Technical University, United&#x20;States</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/475640/overview">Maria Grazia Ortore</ext-link>, Marche Polytechnic University, Italy</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1459586/overview">Reidar Lund</ext-link>, University of Oslo, Norway</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Marija Dubackic, <email>marija.dubackic@fkem1.lu.se</email>, <email>majuskad1@gmail.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Colloids and Emulsions, a section of the journal Frontiers in Soft Matter</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>21</day>
<month>01</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>1</volume>
<elocation-id>741996</elocation-id>
<history>
<date date-type="received">
<day>25</day>
<month>11</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>20</day>
<month>12</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Dubackic, Linse, Sparr and Olsson.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Dubackic, Linse, Sparr and Olsson</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>Amyloid fibrils are associated with a number of different neurodegenerative diseases. Detailed knowledge of the fibril structure will be of importance in the search of therapy and may guide experiments to understand amyloid formation. In this paper we investigate the morphology of <italic>&#x3b1;</italic>-synuclein amyloid fibrils, associated with Parkinson&#x2019;s disease, formed under different conditions. In particular, we study, by means of small and wide-angle X-ray scattering, whether the presence of model lipid membranes affect the overall structure of the fibrils formed, motivated by the fact that amyloid fibrils <italic>in vivo</italic> are formed in a highly lipid-rich environment. Comparing fibrils formed in the presence of lipid with fibrils formed in their absence, show that the presence of lipids has no detectable effect on the fibril cross-section radius and that the characteristic <italic>&#x3b2;</italic>-strand repeat distance of 4.7&#xa0;&#xc5; of the extended intermolecular <italic>&#x3b2;</italic>-sheets remains unaffected. We also show that the observed fibril radius is consistent with a fibril structure composed of two protofilaments. This indicates overall that the particular fibril structure, with their stacks of two-dimensionally folded <italic>&#x3b1;</italic>-synuclein molecules, represent a deep free energy minimum, not largely affected by the co-aggregation with lipids.</p>
</abstract>
<kwd-group>
<kwd>amyloid fibrils</kwd>
<kwd>alpha-synclein</kwd>
<kwd>protein-lipid interactions</kwd>
<kwd>SAXS (small-angle X-ray scattering)</kwd>
<kwd>WAXS (wide angle x-ray scattering)</kwd>
<kwd>fibril structure</kwd>
</kwd-group>
<contract-sponsor id="cn001">Stiftelsen f&#xf6;r Strategisk Forskning<named-content content-type="fundref-id">10.13039/501100001729</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">Knut och Alice Wallenbergs Stiftelse<named-content content-type="fundref-id">10.13039/501100004063</named-content>
</contract-sponsor>
<contract-sponsor id="cn003">Vetenskapsr&#xe5;det<named-content content-type="fundref-id">10.13039/501100004359</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Parkinson&#x2019;s disease (PD) is the second most common neurodegenerative disease affecting 0.3% of world&#x2019;s population (<xref ref-type="bibr" rid="B61">von Campenhausen et&#x20;al., 2005</xref>). This movement disorder is marked by a loss of dopaminergic neurons in a midbrain region, <italic>substantia nigra</italic> (<xref ref-type="bibr" rid="B1">Anichtchik et&#x20;al., 2000</xref>; <xref ref-type="bibr" rid="B35">Lehericy et&#x20;al., 2014</xref>). Although symptoms of PD such as rigor, tremor and slowed motions (bradykinesia) (<xref ref-type="bibr" rid="B10">Fahn, 2003</xref>) may be ameliorated, the disease remains without cure. Moreover, the clinically manifested symptoms do not present themselves before 80% of dopamine signaling have been lost (<xref ref-type="bibr" rid="B12">Fearnley and Lees, 1991</xref>).</p>
<p>Multiple lines of evidence indicate that the formation of amyloid aggregates, present in so-called Lewy bodies, or the intermediate oligomeric aggregates present during the course of the aggregation process, are toxic to dopaminergic neurons and thus contributes to degeneration in PD (<xref ref-type="bibr" rid="B5">Bucciantini et&#x20;al., 2002</xref>; <xref ref-type="bibr" rid="B62">Winner et&#x20;al., 2011</xref>; <xref ref-type="bibr" rid="B29">Iyer and Claessens, 2018</xref>; <xref ref-type="bibr" rid="B31">Ke et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B40">Melo et&#x20;al., 2021</xref>). A major component of Lewy bodies are fibrils formed by the protein <italic>&#x3b1;</italic>-synuclein, <italic>&#x3b1;</italic>S (<xref ref-type="bibr" rid="B4">Baba et&#x20;al., 1998</xref>; <xref ref-type="bibr" rid="B2">Araki et&#x20;al., 2019</xref>), a 140 amino acid-long protein abundantly expressed in neuronal cells and located in the close proximity to lipid membranes and vesicles (<xref ref-type="bibr" rid="B43">O&#x2019;Leary and Lee, 2019</xref>). Similar amyloid fibrils, formed by other proteins, are involved in other neurodegenerative diseases, such as Alzheimer&#x2019;s disease, Multiple System Atrophy, Huntington&#x2019;s disease and Corticobasal Degeneration.</p>
<p>In the search of a therapy, as well as of a better understanding of the formation of Lewy bodies and PD, a detailed knowledge of the <italic>&#x3b1;</italic>S fibril structure will be important. Fiber X-ray diffraction studies have confirmed the cross-<italic>&#x3b2;</italic> structure with <italic>&#x3b2;</italic>-sheets extending parallel to the fiber axis (<xref ref-type="bibr" rid="B54">Serpell et&#x20;al., 2000</xref>). The same characteristic X-ray diffraction pattern was also recently found for Lewy bodies studied using a microbeam (<xref ref-type="bibr" rid="B2">Araki et&#x20;al., 2019</xref>). Solid-state NMR (ss-NMR) and cryo-electron microscopy (cryo-EM) have provided detailed information on how protofilaments are built from stacking of <italic>&#x3b1;</italic>S molecules, being folded in two dimensions (<xref ref-type="bibr" rid="B54">Serpell et&#x20;al., 2000</xref>; <xref ref-type="bibr" rid="B60">Vilar et&#x20;al., 2008</xref>; <xref ref-type="bibr" rid="B51">Rodriguez et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B57">Tuttle et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B36">Li et&#x20;al., 2018a</xref>; <xref ref-type="bibr" rid="B37">Li et&#x20;al., 2018b</xref>; <xref ref-type="bibr" rid="B23">Guerrero-Ferreira et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B48">Pogostin et&#x20;al., 2019</xref>). It has also been found that <italic>&#x3b1;</italic>S fibrils are composed of two left-handed intertwined protofilaments giving a fibril radius of 50&#xa0;&#xc5; (<xref ref-type="bibr" rid="B37">Li et&#x20;al., 2018b</xref>; <xref ref-type="bibr" rid="B24">Guerrero-Ferreira et&#x20;al., 2018</xref>).</p>
<p>Small angle scattering of X-rays or neutrons are highly useful techniques for investigating the structure of matter on the nanometer length scale (<xref ref-type="bibr" rid="B38">Lindner, 2002</xref>; <xref ref-type="bibr" rid="B20">Glatter, 2018</xref>), including amyloid fibrils (<xref ref-type="bibr" rid="B50">Ricci et&#x20;al., 2016</xref>). It is as such complementary to imaging techniques, like cryo-TEM (<xref ref-type="bibr" rid="B9">Danino, 2012</xref>; <xref ref-type="bibr" rid="B42">Newcomb et&#x20;al., 2012</xref>), with the added advantage that it is non-destructive, and one can measure structures directly in solution. When combining with wide angle scattering, one also have access to sub-nanometer structural components, like the internal characteristic 4.7&#xa0;&#xc5; spacing between <italic>&#x3b2;</italic>-strands in amyloid fibrils (<xref ref-type="bibr" rid="B3">Astbury et&#x20;al., 1935</xref>; <xref ref-type="bibr" rid="B54">Serpell et&#x20;al., 2000</xref>; <xref ref-type="bibr" rid="B48">Pogostin et&#x20;al., 2019</xref>). In a recent study <xref ref-type="bibr" rid="B48">Pogostin et&#x20;al. (2019)</xref> combined small and wide angle X-ray scattering, SAXS/WAXS, to investigate <italic>&#x3b1;</italic>S fibrils in solution as a function of pH. From SAXS it was found that the fibril cross section is approximately circular, and the 50&#xa0;&#xc5; radius was confirmed. From the WAXS regime, they could also confirm the periodic 4.7&#xa0;&#xc5; <italic>&#x3b2;</italic>-strand separation. These structural characteristics were found to be independent of pH in the range 5.5&#x2013;7.5, while fibril-fibril interactions varied significantly due to alteration of the fibril net charge.</p>
<p>
<italic>&#x3b1;</italic>S molecular folding and concurrent fibril formation is driven by hydrophobic interactions (<xref ref-type="bibr" rid="B6">Buell et&#x20;al., 2012</xref>). <italic>In vivo</italic>, the fibril formation process occurs in a highly lipid-rich environment, and Lewy bodies are known to contain significant amounts of lipid (<xref ref-type="bibr" rid="B55">Shults, 2006</xref>; <xref ref-type="bibr" rid="B56">Stefanis, 2012</xref>; <xref ref-type="bibr" rid="B2">Araki et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B11">Fanning et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B34">Lashuel, 2020</xref>). These facts have motivated studies of <italic>&#x3b1;</italic>S-lipid interactions, involving both monomeric (<xref ref-type="bibr" rid="B13">Fusco et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B58">van Maarschalkerweerd et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B14">Fusco et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B26">Hannestad et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B39">Makasewicz et&#x20;al., 2021</xref>), and fibrillar <italic>&#x3b1;</italic>S (<xref ref-type="bibr" rid="B59">van Rooijen et&#x20;al., 2009</xref>; <xref ref-type="bibr" rid="B28">Hellstrand et&#x20;al., 2013b</xref>; <xref ref-type="bibr" rid="B17">Galvagnion et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B18">Gaspar et&#x20;al., 2021</xref>). It has been shown that monomeric <italic>&#x3b1;</italic>S adsorbs to anionic lipid membranes (<xref ref-type="bibr" rid="B30">Jao et&#x20;al., 2004</xref>; <xref ref-type="bibr" rid="B47">Pfefferkorn et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B27">Hellstrand et&#x20;al., 2013a</xref>; <xref ref-type="bibr" rid="B13">Fusco et&#x20;al., 2014</xref>), and that the membrane under some conditions can have a catalytic effect on fibril formation (<xref ref-type="bibr" rid="B15">Galvagnion et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B21">Grey et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B16">Galvagnion, 2017</xref>; <xref ref-type="bibr" rid="B19">Gaspar et&#x20;al., 2019</xref>). Interestingly, this adsorption appears to be a strongly cooperative process (<xref ref-type="bibr" rid="B39">Makasewicz et&#x20;al., 2021</xref>). Several studies, performed with different systems, have also indicated that <italic>&#x3b1;</italic>S and lipids may form co-aggregates (<xref ref-type="bibr" rid="B49">Reynolds et&#x20;al., 2011</xref>; <xref ref-type="bibr" rid="B28">Hellstrand et&#x20;al., 2013b</xref>; <xref ref-type="bibr" rid="B58">van Maarschalkerweerd et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B17">Galvagnion et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B18">Gaspar et&#x20;al., 2021</xref>). The exact nature of such aggregates still remains unclear.</p>
<p>Considering the lipid-rich environment that <italic>&#x3b1;</italic>S experiences <italic>in vivo</italic>, in particular in Lewy bodies (<xref ref-type="bibr" rid="B11">Fanning et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B34">Lashuel, 2020</xref>), it is important to investigate lipid effects on the fibril morphology. Therefore, we in this paper set out to investigate whether <italic>&#x3b1;</italic>S fibrils formed in the presence of lipid model membranes are different from the ones formed in pure buffer. Essentially following the work of <xref ref-type="bibr" rid="B48">Pogostin et&#x20;al. (2019)</xref> who studied fibrils in pure buffer, we here present a SAXS/WAXS study of <italic>&#x3b1;</italic>S fibrils formed in the presence of lipid vesicles, varying the lipid concentrations and also the pH. The vesicles are composed of a mixture of phospholipids; zwitterionic POPC which is the most abundant phospholipid in the human cell membrane, and POPS which is the most common anionic phospholipid, enriched in the inner leaflet of the plasma membrane (<xref ref-type="bibr" rid="B43">O&#x2019;Leary and Lee, 2019</xref>). All experiments were performed on mature fibrils after 14&#x20;days incubation, grown using seeds and with the wild-type <italic>&#x3b1;</italic>S, produced recombinantly.</p>
</sec>
<sec sec-type="results|discussion" id="s2">
<title>2 Results and Discussion</title>
<p>The objective of the present study is to assess the possible effects of lipids on <italic>&#x3b1;</italic>S fibrils. To do so, we combine small and wide-angle X-ray scattering and compare <italic>&#x3b1;</italic>S fibril cross-section dimensions and the periodic spacing, <italic>d</italic>
<sub>
<italic>&#x3b2;</italic>
</sub>, between <italic>&#x3b2;</italic>-strands in the <italic>&#x3b2;</italic>-sheets in fibrils formed in the absence and presence of lipid vesicles. As model lipid system we have used a mixture of 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine (POPC) and 1-palmitoyl-2-oleoyl-sn-glycero-3-phospho-L-serine (POPS) at a molar ratio POPC:POPS of 7:3. We have studied samples prepared at three different pH values, 6.0, 6.5 and 7.0 to modulate the overall protein net charge. In this pH range, <italic>&#x3b1;</italic>S, with isoelectric point at pH 4.7, has a negative net charge that increases with increasing pH (<xref ref-type="bibr" rid="B8">Croke et&#x20;al., 2011</xref>). Furthermore, in this pH range, <italic>&#x3b1;</italic>S has been found to be sufficiently charged to be colloidally stable and not precipitate from solution (<xref ref-type="bibr" rid="B48">Pogostin et&#x20;al., 2019</xref>).</p>
<p>Amyloid fibrils typically consist of peptide or protein molecules that are folded in two dimensions and aggregate by stacking in the third dimension through the formation of extended <italic>&#x3b2;</italic>-sheets. <italic>&#x3b1;</italic>S fibrils consist of two intertwined protofilaments (<xref ref-type="bibr" rid="B54">Serpell et&#x20;al., 2000</xref>; <xref ref-type="bibr" rid="B60">Vilar et&#x20;al., 2008</xref>; <xref ref-type="bibr" rid="B51">Rodriguez et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B57">Tuttle et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B36">Li et&#x20;al., 2018a</xref>; <xref ref-type="bibr" rid="B37">Li et&#x20;al., 2018b</xref>; <xref ref-type="bibr" rid="B48">Pogostin et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B23">Guerrero-Ferreira et&#x20;al., 2019</xref>). From cryo-EM (<xref ref-type="bibr" rid="B36">Li et&#x20;al., 2018a</xref>; <xref ref-type="bibr" rid="B37">Li et&#x20;al., 2018b</xref>; <xref ref-type="bibr" rid="B23">Guerrero-Ferreira et&#x20;al., 2019</xref>), solid-state NMR (<xref ref-type="bibr" rid="B60">Vilar et&#x20;al., 2008</xref>; <xref ref-type="bibr" rid="B57">Tuttle et&#x20;al., 2016</xref>) and spin-labeling (<xref ref-type="bibr" rid="B7">Chen et&#x20;al., 2007</xref>) studies, it has been concluded that only the central half of the <italic>&#x3b1;</italic>S molecule (residues 37&#x2013;99) form an ordered folded structure in the fibrils, while its C- and N- terminal regions are less ordered.</p>
<p>In <xref ref-type="fig" rid="F1">Figure&#x20;1A</xref> we present the SAXS pattern, I(q), of <italic>&#x3b1;</italic>S fibrils formed at pH 6.0 in the absence of lipids at a protein concentration of 280&#xa0;<italic>&#x3bc;M</italic>, and a PDB structure, obtained from cryo-EM (<xref ref-type="bibr" rid="B37">Li et&#x20;al., 2018b</xref>) is shown in <xref ref-type="fig" rid="F1">Figure&#x20;1B</xref>. In order to estimate the fibril cross section dimension, we have modeled the fibrils as elliptical cylinders, and a calculated model scattering curve is shown as a solid line in <xref ref-type="fig" rid="F1">Figure&#x20;1A</xref>. The fibrils are very long, having an overall length <inline-formula id="inf1">
<mml:math id="m1">
<mml:mi>L</mml:mi>
<mml:mo>&#x226b;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, where <italic>q</italic>
<sub>min</sub> is the minimum q-value accessible in the experimental q-range, and not measurable in the present experiments. Because of the large L, the fibril form factor can be factorized into a product of the overall length and cross-section contributions, respectively (<xref ref-type="bibr" rid="B65">Glatter and Kratky, 1983</xref>). With <inline-formula id="inf2">
<mml:math id="m2">
<mml:mi>L</mml:mi>
<mml:mo>&#x226b;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> the model scattered intensity can be written as<disp-formula id="e1">
<mml:math id="m3">
<mml:mi>I</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:msub>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:mfenced>
<mml:mo>,</mml:mo>
</mml:math>
<label>(1)</label>
</disp-formula>where <italic>P</italic>
<sub>
<italic>c</italic>
</sub>(<italic>q</italic>) is the normalized two-dimensional cross-section form factor, and the parameter <italic>C</italic> is given by<disp-formula id="e2">
<mml:math id="m4">
<mml:mi>C</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3c0;</mml:mi>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3d5;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>.</mml:mo>
</mml:math>
<label>(2)</label>
</disp-formula>Here, &#x394;<italic>&#x3c1;</italic> &#x3d; <italic>&#x3c1;</italic>
<sub>
<italic>p</italic>
</sub> &#x2212; <italic>&#x3c1;</italic>
<sub>
<italic>b</italic>
</sub> is the scattering length density difference between protein (<italic>p</italic>) and buffer (<italic>b</italic>), <italic>&#x3d5;</italic>
<sub>
<italic>p</italic>
</sub> is the fibril (protein) volume fraction, and <italic>V</italic>
<sub>
<italic>p</italic>
</sub>/<italic>L</italic> is the protein volume per unit length in the fibrils. As the fibrils are composed of two protofilaments, we have <italic>V</italic>
<sub>
<italic>p</italic>
</sub>/<italic>L</italic>&#x20;&#x3d; 2<italic>v</italic>
<sub>
<italic>p</italic>
</sub>/<italic>d</italic>
<sub>
<italic>&#x3b2;</italic>
</sub>, where <italic>v</italic>
<sub>
<italic>p</italic>
</sub> &#x3d; 17&#xa0;nm<sup>3</sup> is the <italic>&#x3b1;</italic>S molecular volume, assuming a mass density of 1.4&#xa0;<italic>g</italic>/<italic>cm</italic>
<sup>3</sup>, and <italic>d</italic>
<sub>
<italic>&#x3b2;</italic>
</sub> &#x3d; 4.7&#xa0;&#xc5; is the periodic repeating <italic>&#x3b2;</italic>-strand separation in the <italic>&#x3b2;</italic>-sheets. The X-ray scattering length densities are given by <italic>&#x3c1;</italic>
<sub>
<italic>p</italic>
</sub> &#x3d; 13&#x20;10<sup>10</sup>&#xa0;<italic>cm</italic>
<sup>&#x2212;2</sup> and <italic>&#x3c1;</italic>
<sub>
<italic>b</italic>
</sub> &#x3d; 9.5 10<sup>10</sup>&#xa0;<italic>cm</italic>
<sup>&#x2212;2</sup>, respectively. The normalized cross-section form factor of an elliptical cylinder can be written as<disp-formula id="e3">
<mml:math id="m5">
<mml:msub>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
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<mml:mfenced open="(" close=")">
<mml:mrow>
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</mml:mrow>
</mml:mfenced>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
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<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:msubsup>
<mml:mrow>
<mml:mo>&#x222b;</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msubsup>
<mml:mi>d</mml:mi>
<mml:mi>&#x3c6;</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>J</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi>q</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mi>q</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
</mml:math>
<label>(3)</label>
</disp-formula>where <italic>J</italic>
<sub>1</sub>(<italic>x</italic>) is the first order Bessel function and <inline-formula id="inf3">
<mml:math id="m6">
<mml:mi>r</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mrow>
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<mml:mrow>
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</mml:mrow>
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<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
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<mml:mi>&#x3c6;</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
</mml:math>
</inline-formula> is an effective radius that varies with the polar angle <italic>&#x3c6;</italic>. <xref ref-type="disp-formula" rid="e3">Eq. 3</xref> is obtained from the full elliptical cross-section cylinder model given for example in ref. (<xref ref-type="bibr" rid="B46">Pedersen, 1997</xref>), after performing the factorization (<xref ref-type="disp-formula" rid="e1">Eq. 1</xref>). An elliptical cross-section, with minor semi-axis <italic>a</italic>&#x20;&#x3d; 5&#xa0;nm and major semi-axis <italic>b</italic>&#x20;&#x3d; 10&#xa0;nm, together with a protein concentration of 250&#xa0;<italic>&#x3bc;M</italic>, is found to describe the SAXS pattern satisfactorily, and is shown as the solid line in <xref ref-type="fig" rid="F1">Figure&#x20;1A</xref>. An additional analysis of <italic>V</italic>
<sub>
<italic>p</italic>
</sub>/<italic>L</italic> (or mass per unit length) is presented in the SI, confirming a fibril structure of two protofilaments.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(A)</bold> Scattering profile of fibrils formed in the absence of vesicles at a protein concentration of 280&#xa0;<italic>&#x3bc;M</italic> at pH 6.0 (filled black squares). The solid red line is the simulated scattering pattern based on the elliptical cylinder model. As an inset, the wide-angle diffraction pattern, with a peak at <inline-formula id="inf4">
<mml:math id="m7">
<mml:mi>q</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1.3</mml:mn>
<mml:msup>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>A</mml:mi>
</mml:mrow>
<mml:mo>&#x30a;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:math>
</inline-formula>, is shown. <bold>(B)</bold> PDB structure (6A6B) of the 2D-folded protein obtained from cryo-EM (<xref ref-type="bibr" rid="B37">Li et&#x20;al., 2018b</xref>) (top). The PDB structure includes only residues composing the fibril core, <italic>&#x3b1;</italic>S (37&#x2013;99), and we show the two protofilaments in different colors. In the amino acid sequence (bottom), residues composing the core are shown in&#x20;red.</p>
</caption>
<graphic xlink:href="frsfm-01-741996-g001.tif"/>
</fig>
<p>At higher q-values, <italic>q</italic>&#x20;&#x3e; 0.5&#xa0;&#xc5;<sup>&#x2212;1</sup>, <italic>I</italic>(<italic>q</italic>) levels off to a constant value of approximately 1.7 10<sup>&#x2212;3</sup>
<italic>cm</italic>
<sup>&#x2212;1</sup>. This is considered in the model as a constant &#x201c;background&#x201d; term arising from electron density variations inside the fibrils. As an inset in <xref ref-type="fig" rid="F1">Figure&#x20;1A</xref> we also present a part of the WAXS pattern, which shows a peak at <italic>q</italic>&#x20;&#x3d; 1.3&#xa0;&#xc5;<sup>&#x2212;1</sup>. This characteristic peak corresponds to a periodic repeat distance of <italic>d</italic>
<sub>
<italic>&#x3b2;</italic>
</sub> &#x3d; 4.7&#xa0;&#xc5;, and is the repeating <italic>&#x3b2;</italic>-strand separation in the <italic>&#x3b2;</italic>-sheets (<xref ref-type="bibr" rid="B54">Serpell et&#x20;al., 2000</xref>). This repeat distance is commonly observed in fibrils formed by other proteins, for example Amyloid-<italic>&#x3b2;</italic> (<xref ref-type="bibr" rid="B53">Serpell, 2000</xref>), as well as for short peptides (<xref ref-type="bibr" rid="B33">Kuczera et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B41">Narayanan et&#x20;al., 2021</xref>). The same <italic>&#x3b2;</italic>-strand repeat distance is also found in fibrils of NACore [<italic>&#x3b1;</italic>S (68&#x2013;78)], an 11 residue central segment of <italic>&#x3b1;</italic>S (<xref ref-type="bibr" rid="B51">Rodriguez et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B45">Pallbo et&#x20;al., 2019</xref>).</p>
<p>Phospholipids, with their relatively high electron density polar headgroups and low electron density acyl chains, have an average X-ray scattering length density very close to that of water (<xref ref-type="bibr" rid="B32">Kucerka et&#x20;al., 2011</xref>). Consequently, such membranes scatter only weakly at lower <italic>q</italic>&#x20;&#x226a; 1/<italic>&#x3b4;</italic>, where <italic>&#x3b4;</italic> is the overall bilayer thickness. In <xref ref-type="fig" rid="F2">Figure&#x20;2A</xref> we present SAXS pattern of a POPC/POPS vesicle samples at a lipid concentration of 2.1<italic>mM</italic>, and pH 6.0. The POPC:POPS molar ratio is 7:3. The vesicle hydrodynamic radius, <italic>R</italic>
<sub>
<italic>H</italic>
</sub>, as obtained from DLS is 180&#x20;&#xb1; 40&#xa0;&#xc5;. As can be seen, the low q scattering is very weak, however a broad maximum is visible around <italic>q</italic>&#x20;&#x3d; 0.15&#xa0;&#xc5;<sup>&#x2212;1</sup>, reporting on the scattering length density profile across the bilayer. Following <xref ref-type="bibr" rid="B44">Pallbo et&#x20;al. (2020)</xref>, we have modeled the vesicle scattering using a core-multi-shell model composed of an aqueous core and three shells describing the bilayer. The inner and outer shells, each 7.5&#xa0;&#xc5; thick, represent the inner and outer headgroup layer, respectively, and the middle shell, 27&#xa0;&#xc5; thick, represents the acyl-chain region. The corresponding radial scattering length density profile of the model is shown in <xref ref-type="fig" rid="F2">Figure&#x20;2B</xref>, with the acyl chains scattering length density equal to 8.1 10<sup>10</sup>&#xa0;<italic>cm</italic>
<sup>&#x2212;2</sup> and the one of the headgroup layer equal to 13.5 10<sup>10</sup>&#xa0;<italic>cm</italic>
<sup>&#x2212;2</sup>. Adjusting model to the data, we obtained <italic>&#x3d5;</italic> &#x3d; 4.5 10<sup>&#x2013;3</sup>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> Scattering profile of pure vesicles suspension at pH 6.6 and 2.1&#xa0;mM and the simulated scattering pattern based on the core-multi-shell model (red line). <bold>(B)</bold> Illustration of the scattering length density difference variation across the bilayer in the normal direction.</p>
</caption>
<graphic xlink:href="frsfm-01-741996-g002.tif"/>
</fig>
<p>The scattered intensity from the vesicle dispersion can be written as <inline-formula id="inf5">
<mml:math id="m8">
<mml:msub>
<mml:mrow>
<mml:mi>I</mml:mi>
</mml:mrow>
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</mml:mrow>
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<mml:msub>
<mml:mrow>
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</mml:mrow>
<mml:mrow>
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</mml:mrow>
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<mml:mi mathvariant="normal">&#x394;</mml:mi>
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<mml:mrow>
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</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
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<mml:mo>&#x3c;</mml:mo>
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<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x3e;</mml:mo>
</mml:math>
</inline-formula>, where <italic>&#x3d5;</italic>
<sub>
<italic>L</italic>
</sub> is the lipid volume fraction, <italic>V</italic>
<sub>
<italic>v</italic>
</sub> is the bilayer volume in a vesicle, &#x394;<italic>&#x3c1;</italic>
<sub>
<italic>L</italic>
</sub> is the overall scattering length density difference between lipid and solvent, and <inline-formula id="inf6">
<mml:math id="m9">
<mml:mo>&#x3c;</mml:mo>
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<mml:mrow>
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<mml:mo>&#x3e;</mml:mo>
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</inline-formula> is the average vesicle form factor, taking into account size polydispersity. For the three-shell model, <italic>P</italic>
<sub>
<italic>v</italic>
</sub>(<italic>q</italic>) can be written as<disp-formula id="e4">
<mml:math id="m10">
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<mml:mn>2</mml:mn>
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<label>(4)</label>
</disp-formula>where <inline-formula id="inf7">
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<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>q</mml:mi>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>q</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msup>
</mml:math>
</inline-formula> is the form factor amplitude of a sphere with radius <italic>R</italic>
<sub>
<italic>i</italic>
</sub>, <inline-formula id="inf8">
<mml:math id="m12">
<mml:mi>M</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mo movablelimits="false" form="prefix">&#x2211;</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msubsup>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> is the total scattering length of the core-shell particle, <inline-formula id="inf9">
<mml:math id="m13">
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>4</mml:mn>
<mml:mi>&#x3c0;</mml:mi>
<mml:msubsup>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msubsup>
<mml:mo>/</mml:mo>
<mml:mn>3</mml:mn>
</mml:math>
</inline-formula> is the volume of the sphere with radius <italic>R</italic>
<sub>
<italic>i</italic>
</sub>, and <italic>&#x3c1;</italic>
<sub>
<italic>i</italic>
</sub> is the scattering length density of the <italic>i</italic>th shell (<xref ref-type="bibr" rid="B46">Pedersen, 1997</xref>). <italic>i</italic> &#x3d; 1 corresponds to the outer headgroup shell. Hence, R1 corresponds to the outer vesicle radius and R4 is the radius of the inner aqueous core. A cartoon illustrating the different radii is shown in <xref ref-type="sec" rid="s9">Supplementary Figure S1</xref> of the&#x20;SI.</p>
<p>Shown in <xref ref-type="fig" rid="F2">Figure&#x20;2A</xref> as solid line is a simulated scattering curve that is modeling the main feature of the scattering pattern, the form factor hump around <italic>q</italic>&#x20;&#x3d; 0.15&#xa0;&#xc5;<sup>&#x2212;1</sup>, which is reflecting the particular electron density variation across the bilayer. As can be seen, the model accounts well for this feature. Based on the <italic>R</italic>
<sub>
<italic>H</italic>
</sub> &#x3d; 180&#xa0;&#xc5; obtained from DLS, the model assumes <inline-formula id="inf10">
<mml:math id="m14">
<mml:mo>&#x3c;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mn>4</mml:mn>
<mml:mo>&#x3e;</mml:mo>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>140</mml:mn>
</mml:math>
</inline-formula>&#xa0;&#xc5;, and a polydispersity of 30%, corresponding to the relative standard deviation of a Gaussian size distribution. Thus <inline-formula id="inf11">
<mml:math id="m15">
<mml:mo>&#x3c;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mn>1</mml:mn>
<mml:mo>&#x3e;</mml:mo>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>182</mml:mn>
</mml:math>
</inline-formula>&#xa0;&#xc5;, which is consistent with <italic>R</italic>
<sub>
<italic>H</italic>
</sub> obtained from DLS. However, we note that SAXS intensity is very low at lower q-values and thus rather insensitive to the vesicle radius. The same data shown in <xref ref-type="fig" rid="F1">Figures 1A</xref>, <xref ref-type="fig" rid="F2">2B</xref>, including error bars for the intensity are presented in&#x20;SI.</p>
<p>Having established how the lipid membranes scatter in the investigated q-range, we now turn to the case when fibrils are formed in the presence of lipid vesicles. In <xref ref-type="fig" rid="F3">Figure&#x20;3</xref> we show the SAXS pattern from a sample with 280 &#x3d; <italic>&#x3bc;M &#x3b1;S</italic> and 2.1&#xa0;mM of lipid, corresponding to a lipid to protein molar ratio of 7.5 (L/P &#x3d; 7.5). The pattern is very similar to that of the fibril formed in the absence of lipids (<xref ref-type="fig" rid="F1">Figure&#x20;1A</xref>), but with the additional broad hump around <italic>q</italic>&#x20;&#x3d; 0.15&#xa0;&#xc5;<sup>&#x2212;1</sup>, corresponding to scattering from the lipid bilayer. As expected, this hump is the only visible contribution from the lipids to the scattering pattern. The red symbols are showing the linear combination of scattering profiles obtained from fibrils formed in the absence of vesicles and scattering profiles of pure vesicle dispersion. We note that the fibril concentration was higher in the presence of lipid, and the pure fibril scattering from <xref ref-type="fig" rid="F1">Figure&#x20;1A</xref> was multiplied with 1.4 in order to overlap with the scattering from the L/P &#x3d; 7.5 sample. The lipid contribution, on the other hand was not scaled.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Scattering profile of a sample where fibrils were formed in the presence of vesicles at pH 6.0 (filled black squares). The protein concentration is 280&#xa0;<italic>&#x3bc;M</italic>, and lipid to protein molar ratio is equal to 7.5. Red squares show a linear combination of scattering profiles of fibrils formed in the absence of vesicles (<xref ref-type="fig" rid="F1">Figure&#x20;1A</xref>) and vesicles scattering profiles (<xref ref-type="fig" rid="F2">Figure&#x20;2A</xref>). As an inset the wide-angle diffraction pattern from the L/P &#x3d; 7.5, with a peak at <italic>q</italic>&#x20;&#x3d; 1.3&#xa0;&#xc5;<sup>&#x2212;1</sup>, is&#x20;shown.</p>
</caption>
<graphic xlink:href="frsfm-01-741996-g003.tif"/>
</fig>
<p>As can be seen, a linear combination describes the data well. This is a key result that implies that the presence of POPC/POPS vesicles have no, or at least no detectable effects on the <italic>&#x3b1;</italic>S fibril cross-section dimension nor the extended intermolecular <italic>&#x3b2;</italic>-sheet structure. Also, the fact that we do not see any decrease in the bilayer concentration implies that most of the lipids, if not all, remain in bilayer aggregates with the same dimension as in the pure vesicle sample.</p>
<p>We also investigated samples composed of fibrils prepared at lower lipid concentrations. In <xref ref-type="fig" rid="F4">Figure&#x20;4</xref> we compare the scattering profiles obtained when <italic>&#x3b1;</italic>S fibrils are formed at pH 6.0 at protein concentration of 280&#xa0;<italic>&#x3bc;M</italic> in the presence of lipid vesicles at three different lipid concentrations, corresponding to lipid-to-protein molar ratios L/P &#x3d; 0, 2.5 and 7.5. In addition, we also show the scattering for the case of protein alone (L/P &#x3d; 0). As can be seen, the fibril scattering is essentially identical in these four cases. The bilayer scattering is only clearly visible for the highest lipid concentration, L/P &#x3d; 7.5. For the two lower lipid concentrations, L/P &#x3d; 0.5 and 2.5, the lipid contribution is not enough to be visible. The insert in <xref ref-type="fig" rid="F4">Figure&#x20;4</xref> shows the wide-angle regime data for the different L/P and all samples show the characteristic diffraction peak at <italic>q</italic>&#x20;&#x3d; 1.3&#xa0;&#xc5;<sup>&#x2212;1</sup>, corresponding to the <italic>d</italic>
<sub>
<italic>&#x3b2;</italic>
</sub> &#x3d; 4.7&#xa0;&#xc5; periodic <italic>&#x3b2;</italic>-strand stacking parallel to the fibril axis, which is unaffected by the presence of lipids.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Scattering from fibrils formed in the presence of vesicles at different lipid concentrations [L/P &#x3d; 7.5 (orange square), L/P &#x3d; 2.5 (pink circles), L/P &#x3d; 0.5 (yellow triangles pointing up)] and in the absence of vesicles (blue triangle pointing down) at pH 6.0. The protein concentration is equal to 280&#xa0;<italic>&#x3bc;M</italic>. The inset shows the wide-angle diffraction region with diffraction peak at <italic>q</italic>&#x20;&#x3d; 1.3&#xa0;&#xc5;<sup>&#x2212;1</sup>.</p>
</caption>
<graphic xlink:href="frsfm-01-741996-g004.tif"/>
</fig>
<p>For the highest lipid-to-protein ratio, L/P &#x3d; 7.5, we also investigated samples prepared at pH 6.5 and 7.0. The SAXS patterns from the samples at different pH values are compared in <xref ref-type="fig" rid="F5">Figure&#x20;5</xref>. As can be seen, both the fibril and bilayer scattering is essentially identical in these three cases. As an insert of <xref ref-type="fig" rid="F5">Figure&#x20;5</xref>, we show the wide-angle diffraction pattern with an identical diffraction peak at <inline-formula id="inf12">
<mml:math id="m16">
<mml:mi>q</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1.3</mml:mn>
<mml:msup>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>A</mml:mi>
</mml:mrow>
<mml:mo>&#x30a;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:math>
</inline-formula> in all&#x20;cases.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Scattering from fibrils formed in the presence of vesicles at pH 6.0 (orange square), 6.5 (pink circles) and 7.0 (blue triangles pointing up). The protein concentration is equal to 280&#xa0;<italic>&#x3bc;M</italic> and the lipid to protein ratio is equal to 7.5. The inset shows the wide-angle diffraction region with diffraction peak at <italic>q</italic>&#x20;&#x3d; 1.3&#xa0;&#xc5;<sup>&#x2212;1</sup>.</p>
</caption>
<graphic xlink:href="frsfm-01-741996-g005.tif"/>
</fig>
<p>In this study, we varied pH in the range 6.0&#x2013;7.0, without observing any pH effects. While physiological pH generally is considered to be 7.4, there are weakly acidic cellular compartments like lysosomes and endosomes (<xref ref-type="bibr" rid="B66">Demaurex, 2002</xref>; <xref ref-type="bibr" rid="B67">Hu et&#x20;al., 2015</xref>) that may be relevant for <italic>&#x3b1;</italic>S fibril formation.</p>
<p>The formation of protein-lipid co-aggregates were shown for similar <italic>&#x3b1;</italic>S-lipid systems, DOPC:DOPS 7:3 at a slightly lower pH &#x3d; 5.5 (<xref ref-type="bibr" rid="B28">Hellstrand et&#x20;al., 2013b</xref>) and DMPC and DLPS at pH &#x3d; 6.5 (<xref ref-type="bibr" rid="B17">Galvagnion et&#x20;al., 2019</xref>) by means of solid-state NMR. There are also several other reports on the formation of lipid-protein co-aggregates. Both in the case of the early stage of aggregation, involving membrane disruption and protein oligomer formation (<xref ref-type="bibr" rid="B13">Fusco et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B58">van Maarschalkerweerd et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B14">Fusco et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B26">Hannestad et&#x20;al., 2020</xref>), and in the case of mature fibrils (<xref ref-type="bibr" rid="B59">van Rooijen et&#x20;al., 2009</xref>; <xref ref-type="bibr" rid="B22">Grey et&#x20;al., 2011</xref>; <xref ref-type="bibr" rid="B18">Gaspar et&#x20;al., 2021</xref>). However, the very nature of co-aggregation is not fully clear in the case of mature fibrils. Authors are unable to tell if the association of lipids and fibrils is integrated, with lipids being intercalating the <italic>&#x3b2;</italic>-strands or otherwise incorporated in the fibril structure, or external, where bilayers are adsorbed onto the fibril surface (<xref ref-type="bibr" rid="B28">Hellstrand et&#x20;al., 2013b</xref>; <xref ref-type="bibr" rid="B17">Galvagnion et&#x20;al., 2019</xref>). Possibly, it mainly involves an attractive interaction between pure <italic>&#x3b1;</italic>S fibril and pure lipid membrane, leaving the internal fibril structure unperturbed. In the present study, we do not observe mixing of lipid and protein on the molecular length scale but we do not exclude the possibility that intact fibrils may associate with bilayer membranes in such a manner that the fibrils become coated with bilayers or have vesicles adsorbed along their length.</p>
<p>In the samples shown in our study, we are using seeds to accelerate fibril formation and therefore the catalytic effect of model membranes is probably negligible. The exact nucleation condition is probably not important for whether one observes an uptake of lipid into the fibrils (co-aggregation) or not. The reason is because the nucleation events are very few compared to the so-called elongation (growth) events, <italic>id est</italic>, the addition of protein monomers at the ends of existing fibrils. <italic>&#x3b1;</italic>S fibrils are many micrometers long, also in the presence of lipids, and typically consist of the order of 10<sup>4</sup>&#x20;<italic>&#x3b1;</italic>S molecules. A critical nucleus on the hand is much smaller and may contain perhaps 10 or perhaps even 100 molecules. This implies that if there would be a significant amount of lipid incorporated into the formed fibrils, then this will happen rather during the growth phase than during the nucleation&#x20;phase.</p>
<p>By means of cryo-TEM, Hellstrand and co-workers showed that fibrils associate differently in clusters when they are formed in the presence and absence of lipids, as well as that there are no free excess lipid vesicles in the case of L/P &#x3d; 1 and the presence of deformed vesicles at higher lipid to protein ratios (<xref ref-type="bibr" rid="B28">Hellstrand et&#x20;al., 2013b</xref>). This tells that lipids interact with the formed fibrils and that the vesicles collapse during fibril formation. In the present study, we do not see a change in the fibril cross section radius when the fibrils are formed in the presence of lipid. We note, however, that the molecular volume of <italic>&#x3b1;</italic>S is approximately 15&#x20;times larger than the volume of a lipid molecule. Hence, if all the lipid molecules, in the case of L/P &#x3d; 0.5 would be mixed into the fibrils, this would only correspond to a minor increase in fibril volume that could be difficult to detect in the SAXS pattern. We also note that the protein forms a highly specific and densely folded structure in fibrils (<xref ref-type="bibr" rid="B57">Tuttle et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B36">Li et&#x20;al., 2018a</xref>; <xref ref-type="bibr" rid="B23">Guerrero-Ferreira et&#x20;al., 2019</xref>) as seen in <xref ref-type="fig" rid="F1">Figure&#x20;1B</xref>. This dense folding is driven by hydrophobic interactions and reduces water contact with the many hydrophobic residues in the central NAC region of the <italic>&#x3b1;</italic>S molecule.</p>
<p>How <italic>&#x3b1;</italic>S monomers, oligomers and fibrils interact with lipid membranes is an important question that has been addressed in a number of studies. It is well established that <italic>&#x3b1;</italic>S monomers adsorb to anionic membranes with the N-terminal region, and undergo a conformational change from disordered to a high degree of <italic>&#x3b1;</italic>-helix structure (<xref ref-type="bibr" rid="B30">Jao et&#x20;al., 2004</xref>; <xref ref-type="bibr" rid="B13">Fusco et&#x20;al., 2014</xref>). Anionic lipid membranes may also catalyze fibril formation by acting a site for heterogeneous nucleation (<xref ref-type="bibr" rid="B15">Galvagnion et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B21">Grey et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B16">Galvagnion, 2017</xref>; <xref ref-type="bibr" rid="B19">Gaspar et&#x20;al., 2019</xref>). A major question also concerns whether formed fibrils, or intermediate oligomers, disrupt vesicle structures, which can be a possible cause of toxicity (<xref ref-type="bibr" rid="B58">van Maarschalkerweerd et&#x20;al., 2014</xref>). Lewy bodies, a hallmark of Parkinson&#x2019;s disease, are intracellular inclusions rich in <italic>&#x3b1;</italic>S fibrils, but also containing significant amounts of lipid and organelles (<xref ref-type="bibr" rid="B55">Shults, 2006</xref>; <xref ref-type="bibr" rid="B56">Stefanis, 2012</xref>; <xref ref-type="bibr" rid="B2">Araki et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B11">Fanning et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B34">Lashuel, 2020</xref>). The mechanism of Lewy body formation is not known, but possibly are result of significant attractive interactions between <italic>&#x3b1;</italic>S fibrils and lipid membranes. <italic>&#x3b1;</italic>S fibrils have been found to show attractive, presumably hydrophobic, fibril-fibril interactions (<xref ref-type="bibr" rid="B52">Semerdzhiev et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B48">Pogostin et&#x20;al., 2019</xref>) and it is possible that there can be similar attractive fibril-membrane interactions. However, fibrils were shown to bind to lipid DOPC/DOPS (molar ratio 7/3) giant uni-lamellar vesicle (GUV) membranes but not to pure DOPC membranes, indicating the importance of electrostatic interactions, similar to the case of monomer interaction with membranes (<xref ref-type="bibr" rid="B22">Grey et&#x20;al., 2011</xref>).</p>
<p>The present study adds additional important information to the ongoing debate on <italic>&#x3b1;</italic>S-lipid interaction. We have shown that <italic>&#x3b1;</italic>S fibrils formed in the presence of POPC/POPS (7/3) lipid vesicles have the same cross-section dimension, and two intertwined protofilaments, as fibrils formed in the absence of lipid. Also, the <italic>&#x3b2;</italic>-sheet stacking, with the characteristic 4.7&#xa0;&#xc5; periodicity, is unaffected. This indicates that the stacking of the two-dimensionally folded <italic>&#x3b1;</italic>S molecules and the two-protofilament fibril structure represent a robust protein aggregate structure, not largely affected by the presence of lipids. The 4.7&#xa0;&#xc5; periodicity was also recently observed in a scanning WAXS experiment on Lewy bodies, using a microbeam (<xref ref-type="bibr" rid="B2">Araki et&#x20;al., 2019</xref>).</p>
<p>In the present study we do not observe any swelling of the fibrils nor the formation of a different fibril structure, when <italic>&#x3b1;</italic>S fibrils are formed in the presence of POPC/POPS model membranes. We cannot exclude the possibility of small amounts lipid molecules being incorporated into the fibrils, to an extent that is not affecting the fibril radius. However, if so they are most likely present in the outer layer of the fibrils that are believed to be less ordered. In the central core of the fibrils the protein is densely folded (<xref ref-type="bibr" rid="B25">Guerrero-Ferreira et&#x20;al., 2020</xref>) and most likely less prone to mix with lipid. For the highest lipid concentration (L/P &#x3d; 7.5) the scattering contribution from lipid bilayers were observed in the SAXS pattern with an intensity that indicated that essentially all lipid molecules remained in the bilayer structures.</p>
</sec>
<sec id="s3">
<title>3 Materials and Methods</title>
<sec id="s3-1">
<title>3.1&#x20;<italic>&#x3b1;</italic>-Synuclein</title>
<p>Human <italic>&#x3b1;</italic>S (molar mass, <italic>M</italic>
<sub>
<italic>w</italic>
</sub> &#x3d; 14.4&#xa0;kg&#xa0;mol<sup>&#x2212;1</sup>) was expressed in <italic>Escherichia coli</italic> and purified using heat treatment, ion exchange and gel filtration chromatography, as described previously in <xref ref-type="bibr" rid="B22">Grey et&#x20;al. (2011)</xref>. Prior to incubation with lipid vesicles, <italic>&#x3b1;</italic>S was purified by size exclusion chromatography (SEC) in phosphate buffer, using a Superdex 75 column (GE Healthcare). The protein concentration was measured using the integrated absorbance at 280&#xa0;nm of the collected fraction from the SEC chromatogram assuming a molar extinction coefficient 5.960&#xa0;<italic>M</italic>
<sup>&#x2212;1</sup>
<italic>cm</italic>
<sup>&#x2212;1</sup>. <italic>&#x3b1;</italic>S monomers collected from SEC were lyophilized to obtain high concentration required for scattering experiments.</p>
</sec>
<sec id="s3-2">
<title>3.2 Preparation of Vesicles</title>
<p>1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine (POPC) and 1-palmitoyl-2-oleoyl-sn-glycero-3-phospho-L-serine (POPS) were purchased from Avanti Lipids and used as received. In all experiments, a molar ratio POPC:POPS &#x3d; 7:3 was used. Vesicles were prepared by first dissolving appropriate amounts of lipid in the chloroform methanol mixture (chloroform to methanol 3:1 volume ratio). The solvent was evaporated underneath a stream of <italic>N</italic>
<sub>2</sub> gas, and the newly formed lipid film was dried in vacuum oven over night. The lipids were then dispersed in phosphate buffer at pH 6.0, 6.5 and 7.0. Solutions were sonicated on ice for 15&#xa0;min (10&#xa0;s on/off duty and 70% amplitude) using Sonics, Vibra-Cell tip sonicator. The vesicle dispersion was centrifuged at 13&#x2009;,000&#xa0;rpm for 15&#xa0;min in order to pellet metal residues from the sonicator tip and the supernatant was used as the final vesicle dispersion. The size of vesicles was estimated by means of dynamic light scattering (DLS) (Zetasizer Nano ZS from Malvern) and their radius was found to be on average 180&#x20;&#xb1; 40&#xa0;&#xc5;.</p>
</sec>
<sec id="s3-3">
<title>3.3 Preparation of Fibrils</title>
<p>The lyophilized powder was resuspended in filtered (0.2&#xa0;<italic>&#x3bc;m</italic>) <italic>H</italic>
<sub>2</sub>
<italic>O</italic>. Seeds, i.e.,&#x20;preformed <italic>&#x3b1;</italic>S fibrils, were added to a concentration corresponding to 5% of the total <italic>&#x3b1;</italic>S concentration in monomer units. Finally, a lipid vesicle solution was added. In the end, the final concentration of <italic>&#x3b1;</italic>S monomers was equal to 280&#xa0;<italic>&#x3bc;M</italic>. The samples were prepared with three lipid concentration: 140&#xa0;<italic>&#x3bc;M</italic> (lipid/protein ratio L/P &#x3d; 0.5), 700&#xa0;<italic>&#x3bc;M</italic> (L/P &#x3d; 2.5) and 2.1&#xa0;<italic>mM</italic> (L/P &#x3d; 7.5). All samples were incubated in Axygen low-binding Eppendorf tubes at 37&#xb0;C for 14&#xa0;days under quiescent conditions.</p>
</sec>
<sec id="s3-4">
<title>3.4&#x20;Small-Angle X-Ray Scattering</title>
<p>X-ray scattering experiments were performed on a Saxslab Ganesha pinhole instrument JJ X-ray System APS (JJ X-ray, Hoersholm, Denmark) with an X-ray microsource (Xenocs, Sassenage, France) and a two-dimensional 300&#xa0;k Pilatus detector (Dectris Ltd., Baden-Daettwil, Switzerland). Three sample-to-detector distances were used and the X-ray wavelength, <italic>&#x3bb;</italic>, was 1.54&#xa0;&#xc5;. The two-dimensional scattering pattern was always isotropic (circularly symmetric) and was therefore radially averaged to obtain the one-dimensional scattering function, I(q), where <inline-formula id="inf13">
<mml:math id="m17">
<mml:mi>q</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>4</mml:mn>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x3bb;</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mi>sin</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:math>
</inline-formula> is the magnitude of the scattering vector, <italic>&#x3b8;</italic> being the scattering angle. Absolute scaling of the scattered intensity was performed by using water as a calibration standard. Scattering from the buffer measured in the same capillary as the sample was subtracted. Data were modeled using the SasView software (<ext-link ext-link-type="uri" xlink:href="http://www.sasview.org">www.sasview.org</ext-link>).</p>
</sec>
</sec>
</body>
<back>
<sec id="s4">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s5">
<title>Author Contributions</title>
<p>MD, ES, SL, and UO conceived and designed the study. MD conducted all experiments. MD wrote the article with input from all co-authors.</p>
</sec>
<sec id="s6">
<title>Funding</title>
<p>This work was supported by Swedish Foundation for Strategic Research through the national Graduate School SwedNessESS (GSn15-0008), the Swedish Research Council VR (SL 2015-00143) and the Knut and Alice Wallenberg Foundation grant (ES, SL, UO 2016.0074).</p>
</sec>
<sec sec-type="COI-statement" id="s7">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s8">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ack>
<p>This work benefited from the use of the SasView application, originally developed under NSF award DMR-0520547. SasView contains code developed with funding from the European Union&#x2019;s Horizon 2020 research and innovation program under the SINE2020 project, grant agreement No. 654000.</p>
</ack>
<sec id="s9">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/frsfm.2021.741996/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/frsfm.2021.741996/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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