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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mol. Biosci.</journal-id>
<journal-title>Frontiers in Molecular Biosciences</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mol. Biosci.</abbrev-journal-title>
<issn pub-type="epub">2296-889X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">857217</article-id>
<article-id pub-id-type="doi">10.3389/fmolb.2022.857217</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Molecular Biosciences</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Plasticity of Membrane Binding by the Central Region of &#x3b1;-Synuclein</article-title>
<alt-title alt-title-type="left-running-head">Navarro-Paya et al.</alt-title>
<alt-title alt-title-type="right-running-head">Plasticity of &#x3b1;S-Membrane Interaction</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Navarro-Paya</surname>
<given-names>Carlos</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1845501/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sanz-Hernandez</surname>
<given-names>Maximo</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/995335/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>De Simone</surname>
<given-names>Alfonso</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/136608/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Life Sciences</institution>, <institution>Imperial College London</institution>, <addr-line>London</addr-line>, <country>United Kingdom</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Pharmacy</institution>, <institution>University of Naples Federico II</institution>, <addr-line>Naples</addr-line>, <country>Italy</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/948255/overview">Angelo Toto</ext-link>, Sapienza University of Rome, Italy</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/390080/overview">Birgit Strodel</ext-link>, Helmholtz Association of German Research Centres (HZ), Germany</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/188585/overview">Danilo Milardi</ext-link>, National Research Council (CNR), Italy</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Alfonso De Simone, <email>alfonso.desimone@unina.it</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Protein Folding, Misfolding and Degradation, a section of the journal Frontiers in Molecular Biosciences</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>15</day>
<month>06</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>9</volume>
<elocation-id>857217</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>01</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>02</day>
<month>05</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Navarro-Paya, Sanz-Hernandez and De Simone.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Navarro-Paya, Sanz-Hernandez and De Simone</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 terms.</p>
</license>
</permissions>
<abstract>
<p>Membrane binding by &#x3b1;-synuclein (&#x3b1;S), an intrinsically disordered protein whose aggregation is associated with Parkinson&#x2019;s disease, is a key step in determining its biological properties under both physiological and pathological conditions. Upon membrane interaction, &#x3b1;S retains a partial level of structural disorder despite acquiring &#x3b1;-helical content. In the membrane-bound state, the equilibrium between the helical-bound and disordered-detached states of the central region of &#x3b1;S (residues 65&#x2013;97) has been involved in a double-anchor mechanism that promotes the clustering of synaptic vesicles. Herein, we investigated the underlying molecular bases of this equilibrium using enhanced coarse-grained molecular dynamics simulations. The results enabled clarifying the conformational dependencies of the membrane affinity by this protein region that, in addition to playing a role in physiological membrane binding, has key relevance for the aggregation of &#x3b1;S and the mechanisms of the toxicity of the resulting assemblies.</p>
</abstract>
<kwd-group>
<kwd>&#x3b1;-synuclein</kwd>
<kwd>intrinsically disordered proteins</kwd>
<kwd>vesicle clustering</kwd>
<kwd>double-anchor mechanism</kwd>
<kwd>membrane binding</kwd>
<kwd>coarse-grained simulations</kwd>
</kwd-group>
<contract-sponsor id="cn001">European Research Council<named-content content-type="fundref-id">10.13039/501100000781</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">Alzheimer&#x2019;s Research United Kingdom<named-content content-type="fundref-id">10.13039/501100002283</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>&#x3b1;-Synuclein (&#x3b1;S) is an intrinsically disordered protein whose aggregation is linked to neurodegenerative diseases collectively known as synucleinopathies (<xref ref-type="bibr" rid="B71">Uversky and Eliezer, 2009</xref>; <xref ref-type="bibr" rid="B39">Lashuel et al., 2013</xref>), including Parkinson&#x2019;s disease (PD) (<xref ref-type="bibr" rid="B21">Dobson, 2003</xref>; <xref ref-type="bibr" rid="B7">Bosco et al., 2006</xref>; <xref ref-type="bibr" rid="B44">Luk et al., 2012</xref>; <xref ref-type="bibr" rid="B32">Goedert et al., 2013</xref>; <xref ref-type="bibr" rid="B38">Jucker and Walker, 2013</xref>; <xref ref-type="bibr" rid="B35">Ikenoue et al., 2014</xref>; <xref ref-type="bibr" rid="B45">Luth et al., 2014</xref>; <xref ref-type="bibr" rid="B57">Paslawski et al., 2014</xref>; <xref ref-type="bibr" rid="B17">Chiti and Dobson, 2017</xref>; <xref ref-type="bibr" rid="B2">Ahmed et al., 2020</xref>), dementia with Lewy bodies (<xref ref-type="bibr" rid="B30">Galvin et al., 1999</xref>), and multiple system atrophy (<xref ref-type="bibr" rid="B33">Spillantini et al., 1998</xref>). Aggregates of &#x3b1;S are major constituents of intracellular deposits&#x2014;Lewy bodies&#x2014;in PD, whereas mutations, duplications, and triplications of the &#x3b1;S-encoding gene (SNCA) have been associated with early-onset forms of this disease (<xref ref-type="bibr" rid="B60">Polymeropoulos et al., 1997</xref>; <xref ref-type="bibr" rid="B63">Singleton et al., 2003</xref>). While the pathological relevance of &#x3b1;S is generally established, its function remains elusive, although growing evidence points to a role in synaptic vesicles (SVs) trafficking (<xref ref-type="bibr" rid="B4">Auluck et al., 2010</xref>; <xref ref-type="bibr" rid="B13">Burre, 2015</xref>). A recursive feature in most of the putative functions of &#x3b1;S involves binding to biological membranes (<xref ref-type="bibr" rid="B43">Lorenzen et al., 2014</xref>; <xref ref-type="bibr" rid="B64">Snead and Eliezer, 2014</xref>; <xref ref-type="bibr" rid="B28">Fusco et al., 2018</xref>; <xref ref-type="bibr" rid="B36">Jacob et al., 2021</xref>), an interaction relevant to the normal form of &#x3b1;S <italic>in vivo</italic> (<xref ref-type="bibr" rid="B52">Newberry et al., 2020a</xref>; <xref ref-type="bibr" rid="B53">Newberry et al., 2020b</xref>) and influencing its aggregation (<xref ref-type="bibr" rid="B58">Perrin et al., 2001</xref>; <xref ref-type="bibr" rid="B74">Zhu and Fink, 2003</xref>; <xref ref-type="bibr" rid="B9">Breydo et al., 2012</xref>; <xref ref-type="bibr" rid="B18">Comellas et al., 2012</xref>; <xref ref-type="bibr" rid="B29">Galvagnion et al., 2015</xref>; <xref ref-type="bibr" rid="B3">Antonschmidt et al., 2021</xref>) and the toxicity of its oligomeric aggregates (<xref ref-type="bibr" rid="B24">Fusco et al., 2017</xref>). This interaction has been observed in different biological contexts, including the regulation of the homeostasis of SVs during neurotransmitter release (<xref ref-type="bibr" rid="B73">Wislet-Gendebien et al., 2006</xref>; <xref ref-type="bibr" rid="B4">Auluck et al., 2010</xref>), the localization to mitochondrial membranes or mitochondrial-associated membranes (<xref ref-type="bibr" rid="B46">Maltsev et al., 2013</xref>; <xref ref-type="bibr" rid="B59">Plotegher et al., 2014</xref>; <xref ref-type="bibr" rid="B50">Menges et al., 2017</xref>; <xref ref-type="bibr" rid="B54">Ordonez et al., 2018</xref>; <xref ref-type="bibr" rid="B61">Ramezani et al., 2019</xref>), where it has been proposed to mitigate the effects of oxidative stress, or the binding to lysosomal membranes (<xref ref-type="bibr" rid="B8">Bourdenx et al., 2014</xref>).</p>
<p>Upon membrane binding, &#x3b1;S undergoes a folding transition by adopting &#x3b1;-helical conformation throughout the N-terminal 90 residues of its sequence (<xref ref-type="bibr" rid="B6">Bodner et al., 2009</xref>; <xref ref-type="bibr" rid="B47">Maltsev et al., 2012</xref>). This ordering process is promoted by imperfect sequence repeats of 11-residues that can fold into amphipathic &#x3b1;-helices (<xref ref-type="bibr" rid="B23">Eliezer et al., 2001</xref>) that bind lipid membranes by laying parallel at the interface between the polar lipid heads and the hydrophobic interior of the membrane (<xref ref-type="bibr" rid="B16">Cheng et al., 2013</xref>; <xref ref-type="bibr" rid="B26">Fusco et al., 2014</xref>; <xref ref-type="bibr" rid="B25">Fusco et al., 2016a</xref>). The modular organization of seven imperfect repeats in the &#x3b1;S sequence provides &#x3b1;S with the ability to adapt its membrane binding to a large variety of amphipathic assemblies, ranging from small detergent micelles to lipid vesicles and membranes (<xref ref-type="bibr" rid="B70">Ulmer et al., 2005</xref>; <xref ref-type="bibr" rid="B37">Jao et al., 2008</xref>; <xref ref-type="bibr" rid="B6">Bodner et al., 2009</xref>) as well as to the water&#x2013;air interface (<xref ref-type="bibr" rid="B15">Campioni et al., 2014</xref>).</p>
<p>NMR studies with small unilamellar vesicles (SUVs) mimicking the lipid composition of SVs identified three major &#x3b1;S regions with distinct structural and dynamical properties in their membrane-bound state (<xref ref-type="bibr" rid="B26">Fusco et al., 2014</xref>). These include an N-terminal &#x3b1;-helical segment, effectively anchoring the protein on the membrane by partial insertion of the N-terminal 12 residues (<xref ref-type="bibr" rid="B25">Fusco et al., 2016a</xref>), an unstructured C-terminal region that weakly associates with the membrane, and a central region that undergoes order&#x2013;disorder transitions at the membrane surface and that determines the overall affinity for lipid bilayers (<xref ref-type="bibr" rid="B26">Fusco et al., 2014</xref>). It was observed that the membrane interactions of the N-terminal and central regions have a degree of independence such that the two regions can bind simultaneously with two different lipid bilayers (<xref ref-type="bibr" rid="B27">Fusco et al., 2016b</xref>). This observation prompted the definition of a &#x201c;double-anchor&#x201d; mechanism, in which the N-terminal and the central regions of &#x3b1;S bind transiently across two different vesicles, thereby promoting their indirect interaction (<xref ref-type="fig" rid="F1">Figure 1A</xref>). This mechanism, which is enhanced upon calcium binding at the C-terminal (<xref ref-type="bibr" rid="B40">Lautenschlager et al., 2018</xref>), was also shown to enable the stabilization of the docking of SVs onto the neuronal plasma membrane (<xref ref-type="bibr" rid="B49">Man et al., 2021</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Double-anchor mechanism by which one molecule of &#x3b1;S binds across two vesicles. In particular, &#x3b1;S interacts with a first vesicle (lower in the plot) <italic>via</italic> the N-terminal anchor adopting an amphipathic &#x3b1;-helical conformation (blue) and a second vesicle (upper in the plot) <italic>via</italic> the region 65&#x2013;97 (red). The present study focused on the conformational dependencies of membrane interaction in the region 65&#x2013;97 by studying the binding <italic>via</italic> helical-locked (top insert) and disordered-tethered (bottom insert) conformations.</p>
</caption>
<graphic xlink:href="fmolb-09-857217-g001.tif"/>
</fig>
<p>In order to understand the mechanism of membrane interaction by the central region of &#x3b1;S in the context of the double-anchor mechanism (<xref ref-type="bibr" rid="B27">Fusco et al., 2016b</xref>), we here carried out an <italic>in silico</italic> investigation based on enhanced molecular dynamics (MD) simulations using coarse-grained (CG) force fields (<xref ref-type="bibr" rid="B51">Navarro-Paya et al., 2020</xref>). The data enabled clarifying the conformational dependency in membrane binding by the region 65&#x2013;97 of &#x3b1;S and showed that the competition between tethered <italic>versus</italic> helical conformations has distinctive properties in this region, suggesting a role for vesicle recognition within the double-anchor mechanism. These results add to our understanding of the functional properties of &#x3b1;S in the context of synaptic vesicle binding.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>Materials and Methods</title>
<p>In order to characterize new mechanistic aspects of the double-anchor mechanism (<xref ref-type="bibr" rid="B27">Fusco et al., 2016b</xref>), we studied the modes of binding the region spanning residues 65&#x2013;97 of &#x3b1;S (&#x3b1;S<sub>65&#x2013;97</sub>) with DOPE:DOPS:DOPC lipid bilayers mimicking the lipid composition of SV, using CG MD simulations based on a modified version of the Martini 3 force field (<xref ref-type="bibr" rid="B51">Navarro-Paya et al., 2020</xref>). In this model, the motions of the backbone atoms are restrained to adopt two main conformational basins, respectively, accounting for extended-disordered and helical conformations.</p>
<p>The simulated system included one molecule of &#x3b1;S<sub>65&#x2013;97</sub>, modeled with uncharged termini groups of the backbone, a lipid bilayer composed of 167 DOPE:DOPS:DOPC molecules per leaflet in a 84:50:33 (5:3:2) ratio, 8,728 martini water beads, and Na<sup>&#x2b;</sup> and Cl<sup>&#x2212;</sup> ions at a concentration of 150&#xa0;mM. In the starting configuration of each trajectory, the center of mass of &#x3b1;S<sub>65&#x2013;97</sub> was positioned at a distance of 4.0&#xa0;nm from the membrane surface. 15 independent simulations were run for 4.8 &#x3bc;s each at temperatures of 310&#x2013;450&#xa0;K (with a step increase of 10&#xa0;K). These followed an equilibration phase performed at constant pressure until convergence of the area occupied by the lipids. The trajectories across the spectrum of temperatures were analyzed to generate melting curves of membrane binding and to analyze the conformational dependencies of membrane interaction by &#x3b1;S<sub>65&#x2013;97</sub>.</p>
<sec id="s2-1">
<title>Simulation Setup</title>
<p>The GROMACS 4.6.7 package (<xref ref-type="bibr" rid="B1">Abraham et al., 2015</xref>) and a modified version (<xref ref-type="bibr" rid="B51">Navarro-Paya et al., 2020</xref>) of the Martini 3 force field (<xref ref-type="bibr" rid="B10">Bruininks et al., 2019</xref>) (see below) were employed in CG simulations of membrane-binding binding by the region 65&#x2013;97 of &#x3b1;S (&#x3b1;S<sub>65&#x2013;97</sub>). The composition of the synaptic-like membrane employed in this study recalls previous experimental (<xref ref-type="bibr" rid="B27">Fusco et al., 2016b</xref>) and <italic>in silico</italic> (<xref ref-type="bibr" rid="B51">Navarro-Paya et al., 2020</xref>) investigations and includes DOPE, DOPS, and DOPC lipid molecules mixed at a 5:3:2 (w/w) ratio (167 lipids in total). The protein was modeled with neutral termini, and the membrane component was generated using the Martini tool insane.py (<xref ref-type="bibr" rid="B72">Wassenaar et al., 2015</xref>). The peptide component was generated using the coarse-graining tool martinize.py starting from the full-atomistic structure of aS65-97 in helical or extended-disordered states. The system was solvated using Martini water models, and Cl&#x2212; and Na &#x2b; ions were added up to a concentration of 150&#xa0;mM. For each simulation, the starting position included the protein with the center of mass positioned at a distance of 4&#xa0;nm on the <italic>z</italic>-axis from the membrane component. The system was then equilibrated at different temperatures, with a series of 10 ns CG MD simulations in the NPT ensemble with 10 fs as the integration timestep interval. Thermal equilibration was run using the velocity-rescale thermostat (<xref ref-type="bibr" rid="B14">Bussi et al., 2007</xref>).</p>
<p>In each system, fifteen equilibration runs were performed at temperatures of 310&#x2013;450&#xa0;K (using a step interval of 10&#xa0;K), with a thermal coupling constant of 2 ps and three distinct coupling groups (water molecules, ions, peptides, and lipids). Pressure was coupled at 1 bar using a semi-isotropic Berendsen barostat (<xref ref-type="bibr" rid="B5">Berendsen et al., 1984</xref>), with the <italic>xy</italic>- and <italic>z</italic>-axes coupled independently with a relaxation time of 12&#xa0;ps and a 3 &#xd7; 10<sup>&#x2212;4</sup> bar<sup>&#x2212;1</sup> compressibility. Subsequently, sampling runs were performed with 20&#xa0;fs integration timestep for 4.8&#xa0;&#x3bc;s each. The 15 samplings, which followed the temperature scheme of the equilibration runs (310&#x2013;450&#xa0;K), were thermalized using the velocity-rescale thermostat (<xref ref-type="bibr" rid="B14">Bussi et al., 2007</xref>), while pressure was coupled with the Parrinello&#x2013;Rahman barostat (<xref ref-type="bibr" rid="B56">Parrinello and Rahman, 1981</xref>). Electrostatic interactions were accounted for with a coulomb cut-off of 1.1&#xa0;nm, and van der Waals interactions were implemented with a cut-off of 1.1&#xa0;nm. The Lincs algorithm (<xref ref-type="bibr" rid="B34">Hess et al., 1997</xref>) was used to constrain bond lengths and sidechain angles. The convergence of the simulations was assessed by dividing each run into three consecutive and equal segments and checking the convergence of the analysis of the membrane contacts.</p>
</sec>
<sec id="s2-2">
<title>Modification of the Martini 3 Forcefield</title>
<p>As previously reported (<xref ref-type="bibr" rid="B51">Navarro-Paya et al., 2020</xref>), the Martini 3 forcefield was modified using angle restraints that restrain the backbone conformation to essentially two states, namely, &#x3b1;-helical and extended-disordered. These restraints act on the backbone atoms of the Martini 3 force field and include angles between three consecutive backbone particles <inline-formula id="inf1">
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<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>K</mml:mtext>
<mml:mrow>
<mml:mtext>ijk</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:msup>
<mml:mtext>e</mml:mtext>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3b8;</mml:mtext>
<mml:mrow>
<mml:mtext>ijk</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mi mathvariant="normal">&#x2212;</mml:mi>
<mml:msub>
<mml:mtext>&#x3b8;</mml:mtext>
<mml:mrow>
<mml:mtext>min</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mtext>&#x3c3;</mml:mtext>
</mml:mfrac>
</mml:mrow>
</mml:msup>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>The resulting force applied on consecutive particles <italic>i</italic>, <italic>j</italic>, and <italic>k</italic>, is given by<disp-formula id="equ3">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>F</mml:mi>
<mml:mo>&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mi>&#x3b8;</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>&#x3b8;</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>r</mml:mi>
<mml:mo>&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>&#x3b8;</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>r</mml:mi>
<mml:mo>&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>r</mml:mi>
<mml:mo>&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>The angle <inline-formula id="inf4">
<mml:math id="m7">
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3c6;</mml:mtext>
<mml:mrow>
<mml:mtext>ijkl</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is defined from &#x2212;180 to 180&#xb0; using the four-quadrant inverse tangent as follows:<disp-formula id="equ4">
<mml:math id="m8">
<mml:mrow>
<mml:mi>cos</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3c6;</mml:mtext>
<mml:mrow>
<mml:mtext>ijkl</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x22c5;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>&#x2016;</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
<mml:mo>&#x2016;</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2016;</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
<mml:mo>&#x2016;</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ5">
<mml:math id="m9">
<mml:mrow>
<mml:mi>sin</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3c6;</mml:mtext>
<mml:mrow>
<mml:mtext>ijkl</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#x22c5;</mml:mo>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>&#x2016;</mml:mo>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#x2016;</mml:mo>
</mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo>&#x2016;</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
<mml:mo>&#x2016;</mml:mo>
</mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo>&#x2016;</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mo stretchy="true">&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
<mml:mo>&#x2016;</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ6">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3c6;</mml:mtext>
<mml:mrow>
<mml:mtext>ijkl</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>atan</mml:mtext>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>sin</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3c6;</mml:mtext>
<mml:mrow>
<mml:mtext>ijkl</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mi>cos</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3c6;</mml:mtext>
<mml:mrow>
<mml:mtext>ijkl</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>and the restraining Gaussian potential is defined as<disp-formula id="equ7">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mtext>V</mml:mtext>
<mml:mtext>&#x3c6;</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>K</mml:mtext>
<mml:mrow>
<mml:mtext>ijkl</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:msup>
<mml:mtext>e</mml:mtext>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3c6;</mml:mtext>
<mml:mrow>
<mml:mtext>ijkl</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>&#x3c6;</mml:mtext>
<mml:mrow>
<mml:mtext>min</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mtext>&#x3c3;</mml:mtext>
</mml:mfrac>
</mml:mrow>
</mml:msup>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>The resulting force acting on consecutive particles <italic>i</italic>, <italic>j</italic>, <italic>k</italic>, and <italic>l</italic> is given by<disp-formula id="equ8">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>F</mml:mi>
<mml:mo>&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>&#x3c6;</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>r</mml:mi>
<mml:mo>&#x2192;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>&#x3c6;</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>&#x3c6;</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>&#x3c6;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mover accent="true">
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</mml:mover>
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</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi>K</mml:mi>
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<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
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</mml:msub>
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<mml:mo>(</mml:mo>
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<mml:mi>&#x3c6;</mml:mi>
<mml:mrow>
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<mml:mi>j</mml:mi>
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</mml:mrow>
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<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3c6;</mml:mi>
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<mml:mo>&#x2212;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
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<mml:mi>&#x3c6;</mml:mi>
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</mml:mrow>
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</mml:mrow>
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</mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
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<mml:mi>r</mml:mi>
<mml:mo>&#x2192;</mml:mo>
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</p>
<p>A detailed description of the individual parameters was reported previously (<xref ref-type="bibr" rid="B51">Navarro-Paya et al., 2020</xref>).</p>
</sec>
<sec id="s2-3">
<title>Umbrella Sampling Full Atomic Simulations</title>
<p>Full atom simulations of the region 65&#x2013;97 of &#x3b1;S (&#x3b1;S<sub>65&#x2013;97</sub>) were carried out with the GROMACS 4.6.7 package (<xref ref-type="bibr" rid="B1">Abraham et al., 2015</xref>) using the amber99sb-ildn (<xref ref-type="bibr" rid="B42">Lindorff-Larsen et al., 2010</xref>) force field. Potential mean forces (PMF) were calculated with this method to estimate the membrane-binding free energy of &#x3b1;S<sub>65&#x2013;97</sub> in <italic>a</italic>-helix and extended-disordered conformations. In particular, umbrella sampling simulations were performed along a reaction coordinate defined as the distance between the centers of mass (COM) of the protein and the lipid bilayer. The latter was composed of a mixture of DOPE, DOPS, and DOPC lipids in a ratio of 5:3:2 as in the CG simulations. Initial conformations of &#x3b1;S<sub>65&#x2013;97</sub> in &#x3b1;-helix and extended-disordered conformations bound to the lipid bilayer were generated by extracting representative conformations from the Martini CG. These were backmapped into full atomic models of the protein and the membrane and solvated with tip3p waters. In order to obtain starting configurations of the umbrella sampling, &#x3b1;S<sub>65&#x2013;97</sub> was pulled away from the membrane along the normal direction to the lipid bilayer using a full atom MD simulation in the NPT ensemble. A total of 11 umbrella samplings were run to cover a path of 1.2&#xa0;nm of &#x3b1;S<sub>65&#x2013;97</sub> from membrane-bound to membrane-detached conformation. The samplings consisted of 10 ns MD simulations, which followed 100 ps of equilibration, in the NPT ensemble, with an integration timestep interval of 2 fs at 300&#xa0;K. Thermal equilibration was run using the velocity-rescale thermostat (<xref ref-type="bibr" rid="B14">Bussi et al., 2007</xref>). Pressure was coupled at 1&#xa0;bar using a semi-isotropic Berendsen barostat (<xref ref-type="bibr" rid="B5">Berendsen et al., 1984</xref>), where the <italic>xy</italic> dimensions and the <italic>z</italic>-axis are coupled independently with a relaxation time of 1 ps and a 4.5 &#xd7; 10<sup>&#x2013;5</sup>&#xa0;bar<sup>&#x2212;1</sup> compressibility. The COM distance of each window was restrained with a harmonic potential with a force constant of 1,000&#xa0;kJ/mol. The PMF was calculated using the Weighted Histogram Analysis Method (WHAM) using the g_wham utility in GROMACS to calculate the &#x394;G of protein&#x2013;membrane interaction along the pathway. The overlap of the individual umbrella simulations was used to assess the convergence of the sampling (<xref ref-type="sec" rid="s10">Supplementary Figure S1</xref>).</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<p>The overall goal of this study was to assess the conformational dependencies of membrane binding by the region 65&#x2013;97 of &#x3b1;S (&#x3b1;S<sub>65&#x2013;97</sub>) and to elucidate the modes of action of the second anchor in the double-anchor mechanism (<xref ref-type="fig" rid="F1">Figure 1</xref>). The driving forces of the interaction between &#x3b1;S and synaptic membranes are complex and involve both steps of protein&#x2013;membrane interaction and folding-upon-binding. In order to elucidate the conformational dependencies of the first term, we here used a computational framework based on a modification of the Martini force field for biomolecular simulations (<xref ref-type="bibr" rid="B51">Navarro-Paya et al., 2020</xref>) that restricts the conformational properties of the protein into extended disordered or helical states. The first state describes a &#x201c;tethered&#x201d; conformation of &#x3b1;S absorbed onto the membrane surface in an unstructured manner, whereas the second describes a &#x201c;locked&#x201d; membrane-bound state <italic>via</italic> an amphipathic protein conformation (<xref ref-type="bibr" rid="B51">Navarro-Paya et al., 2020</xref>). The analyses of the trajectories were based on the evaluation of the membrane-binding probabilities of each residue of the protein. This was computed using a contact index based on the minimum distance between C&#x3b1; atoms of the protein and phosphate atoms of the lipids, with a threshold of 1&#xa0;nm, and averaged across the whole trajectories (<xref ref-type="fig" rid="F2">Figure 2</xref>). In addition, a global contact index, which is derived from the averaging of the contact indexes of the whole protein construct, was evaluated as a function of the temperature, providing melting curves of membrane interaction that directly account for the overall binding affinity of the protein (<xref ref-type="fig" rid="F3">Figure 3</xref>). The melting curves from three independent segments of the trajectories were also employed to assess the convergence of the samplings (<xref ref-type="sec" rid="s10">Supplementary Figure S2</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Conformational dependencies in membrane binding. <bold>(A&#x2013;B)</bold> Melting curves of membrane binding based on the global contact index plotted as a function of the simulation temperatures. Purple and yellow lines report the melting curves calculated with the protein in helical and extended-disordered conformations, respectively. Binding curves to DOPE:DOPS:DOPC lipid bilayers by &#x3b1;S<sub>65&#x2013;97</sub> and &#x3b1;S<sub>1&#x2013;30</sub> are shown in panels <bold>(A)</bold> and <bold>(B)</bold>, respectively. Error bars report the standard deviation between three segments of the simulation. Data for &#x3b1;S<sub>1&#x2013;30</sub> are reproduced from <xref ref-type="bibr" rid="B51">Navarro-Paya et al. (2020</xref>). The difference in the melting temperatures in helical and extended-disordered conformations is attenuated in the case of &#x3b1;S<sub>65&#x2013;97</sub> compared to &#x3b1;S<sub>65&#x2013;97</sub>. <bold>(C&#x2013;D)</bold> Helical projections of the &#x3b1;S sequence reveal the amphipathic nature of &#x3b1;S<sub>65&#x2013;97</sub> <bold>(C)</bold> and &#x3b1;S<sub>1&#x2013;30</sub> <bold>(D),</bold> generating a hydrophobic surface (here pointing down in the plot) that is opposite to a hydrophilic (here pointing up in the plot). The amphipathic patterns are highly regular in the N-terminal region and residues and become imperfect in the region 65&#x2013;97.</p>
</caption>
<graphic xlink:href="fmolb-09-857217-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Residue-specific contact indexes. Plots are reported in temperatures ranging from 310&#xa0;(light red) to 450&#xa0;K (dark red), with a step increment of 10&#xa0;K. Contact indexes for &#x3b1;S<sub>65&#x2013;97</sub> were computed for the binding to DOPE:DOPS:DOPC lipid bilayers in helical <bold>(A)</bold> and extended-disordered <bold>(B)</bold> conformations.</p>
</caption>
<graphic xlink:href="fmolb-09-857217-g003.tif"/>
</fig>
<p>The analysis of the membrane interaction of &#x3b1;S<sub>65&#x2013;97</sub> indicates that the backbone conformations influence its membrane affinity. In particular, when binding in an extended-disordered conformation, the melting temperature of membrane binding was 372&#xa0;K (<xref ref-type="fig" rid="F2">Figure 2A</xref>). This value, which has a relative physical meaning and should be discussed within the framework of the CG simulations, increases when the simulations are performed with &#x3b1;S<sub>65&#x2013;97</sub> restrained in the helical conformation (393&#xa0;K), indicating higher membrane affinity for the structured conformation. This finding is in line with full atomic simulations of umbrella sampling (Methods), indicating binding free energies of 11&#xa0;and 7.5&#xa0;kcal/mol for helical and extended-disordered conformations, respectively (<xref ref-type="sec" rid="s10">Supplementary Figure S1</xref>). The observed difference of 21&#xa0;K in the melting temperatures of the two conformations of &#x3b1;S<sub>65&#x2013;97</sub> in the CG simulations, however, is almost three times smaller than the difference associated with the construct of 1&#x2013;30 residues (&#x3b1;S<sub>1&#x2013;30</sub>, <xref ref-type="fig" rid="F2">Figure 2B</xref>) (<xref ref-type="bibr" rid="B51">Navarro-Paya et al., 2020</xref>). The finding that for &#x3b1;S<sub>65&#x2013;97</sub>, the binding to membranes in a disordered-tethered conformation is not as energetically disfavored as in the case of &#x3b1;S<sub>1&#x2013;30</sub> is ascribed to two concomitant factors. First, the membrane interaction in the helical-locked conformation is less stable in &#x3b1;S<sub>65&#x2013;97</sub> than in &#x3b1;S<sub>1&#x2013;30</sub> (melting temperatures of 392&#xa0;and 413K, respectively), likely due to an imperfect amphipathic pattern of residues in &#x3b1;S<sub>65&#x2013;97</sub> with respect to &#x3b1;S<sub>1&#x2013;30</sub> (<xref ref-type="fig" rid="F2">Figures 2C,D</xref>). Second, the membrane interaction by the extended-disordered state is stabilized in &#x3b1;S<sub>65&#x2013;97</sub> with respect to &#x3b1;S<sub>1-30</sub> (melting temperatures of 372&#xa0;and 352 K, respectively). Stabilization is particularly relevant for the region 87-SIAAATGSVKK-97, showing high membrane contact indexes throughout its sequence (<xref ref-type="fig" rid="F3">Figure 3B</xref>) with values comparable to those of the helical conformation (<xref ref-type="fig" rid="F3">Figure 3A</xref>). Indeed, for segments 87&#x2013;97, we observed no difference between the melting curves calculated in the simulations of the extended-disordered and helical states (<xref ref-type="sec" rid="s10">Supplementary Figure S3</xref>). This finding suggests that &#x3b1;S<sub>87&#x2013;97</sub> binds synaptic membranes in a conformational independent manner, with disordered-tethered <italic>versus</italic> helical-locked conformations having effectively the same membrane affinity.</p>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>Membrane binding is a crucial element for the pathophysiology of &#x3b1;S. This interaction plays a role in &#x3b1;S aggregation by influencing both the kinetics of self-assembly (<xref ref-type="bibr" rid="B64">Snead and Eliezer, 2014</xref>) and the mechanisms leading to the toxicity of &#x3b1;S oligomers (<xref ref-type="bibr" rid="B24">Fusco et al., 2017</xref>). The transient interaction with synaptic membranes is also a recursive element of most of the putative biological functions of &#x3b1;S, such as those involved in the regulation of the homeostasis of synaptic vesicles (SVs) (<xref ref-type="bibr" rid="B31">Gitler et al., 2008</xref>; <xref ref-type="bibr" rid="B65">Soper et al., 2008</xref>; <xref ref-type="bibr" rid="B4">Auluck et al., 2010</xref>; <xref ref-type="bibr" rid="B12">Burre et al., 2010</xref>; <xref ref-type="bibr" rid="B20">Diao et al., 2013</xref>; <xref ref-type="bibr" rid="B11">Burre et al., 2014</xref>). &#x3b1;S was indeed detected as a &#x201c;SV visitor&#x201d; protein in ultra-definition proteomic studies (<xref ref-type="bibr" rid="B66">Taoufiq et al., 2019</xref>), confirming the transient nature of its interaction with SVs as probed with NMR (<xref ref-type="bibr" rid="B26">Fusco et al., 2014</xref>), and was found to colocalize with SVs in synaptosomes in a calcium-dependent manner (<xref ref-type="bibr" rid="B40">Lautenschlager et al., 2018</xref>). Upon membrane binding, &#x3b1;S adopts conformations that endow it with the ability to mediate membrane&#x2013;membrane interactions (<xref ref-type="bibr" rid="B27">Fusco et al., 2016b</xref>), such as those responsible for the mediation of vesicular clustering as observed <italic>in vitro</italic> using model vesicles (<xref ref-type="bibr" rid="B6">Bodner et al., 2009</xref>; <xref ref-type="bibr" rid="B20">Diao et al., 2013</xref>; <xref ref-type="bibr" rid="B48">Man et al., 2020</xref>) and <italic>ex vivo</italic> SVs (<xref ref-type="bibr" rid="B27">Fusco et al., 2016b</xref>), as well as in the cellular environment (<xref ref-type="bibr" rid="B31">Gitler et al., 2008</xref>; <xref ref-type="bibr" rid="B65">Soper et al., 2008</xref>). In the context of SV homeostasis, SV clustering by &#x3b1;S has been associated with the maintenance of distal pools of SVs at the presynaptic membrane, thereby helping to regulate the number of synaptic vesicles docked at the synapse (<xref ref-type="bibr" rid="B19">Cooper et al., 2006</xref>; <xref ref-type="bibr" rid="B73">Wislet-Gendebien et al., 2006</xref>; <xref ref-type="bibr" rid="B4">Auluck et al., 2010</xref>).</p>
<p>NMR investigations revealed an underlying double-anchor mechanism at the origin of the mediation of membrane-membrane interactions and vesicular clustering by &#x3b1;S (<xref ref-type="bibr" rid="B27">Fusco et al., 2016b</xref>). The mechanism involves the binding of one vesicle <italic>via</italic> the N-terminal region of the protein (first anchor) and a second vesicle <italic>via</italic> the region 65&#x2013;97 (second anchor, <xref ref-type="fig" rid="F1">Figure 1</xref>). The membrane interaction of the first anchor has been characterized extensively by means of NMR experiments (<xref ref-type="bibr" rid="B25">Fusco et al., 2016a</xref>; <xref ref-type="bibr" rid="B62">Runfola et al., 2020</xref>) and biomolecular simulations (<xref ref-type="bibr" rid="B25">Fusco et al., 2016a</xref>), showing that the helical-locked conformation is essential for the stabilization of the bound state (<xref ref-type="bibr" rid="B51">Navarro-Paya et al., 2020</xref>), with the initial 12 residues inserting into the hydrophobic part of the lipid bilayer (<xref ref-type="bibr" rid="B25">Fusco et al., 2016a</xref>). It is, however, unclear what the mechanism of membrane interaction of the second anchor (residues 65&#x2013;97) is.</p>
<p>The present study exploited a computational framework of enhanced CG MD simulations to investigate the conformational dependencies in membrane binding by &#x3b1;S<sub>65&#x2013;97</sub>. The data indicated that, for this region, the interaction with the membrane in the disordered-tethered conformation is energetically more favorable than for the N-terminal membrane anchor of the protein. This feature, combined with a non-optimal amphipathic profile in the helical conformation of the region 65&#x2013;97 (<xref ref-type="fig" rid="F2">Figures 2C,D</xref>), minimizes the difference between the membrane affinities of the disordered-tethered and helical-locked conformations, compared to the N-terminal case. In the extreme case of segments 87&#x2013;97, the membrane-binding curves of these two conformations were found to completely converge (<xref ref-type="sec" rid="s10">Supplementary Figure S2</xref>), indicating that locally &#x3b1;S binds synaptic membranes in a conformation-independent manner. This finding is in agreement with the experimental observation that the deletion of residues 36&#x2013;42 and 45&#x2013;57 reduces the overall helical content of &#x3b1;S upon binding with DMPS vesicles, as observed <italic>via</italic> circular dichroism (CD), while simultaneously increasing the local membrane interaction of the region 65&#x2013;97, as observed <italic>via</italic> the broadening of the NMR <sup>1</sup>H-<sup>15</sup>N-HSQC resonances, thus indicating a binding with low helical content for this region in the truncated mutants (<xref ref-type="bibr" rid="B22">Doherty et al., 2020</xref>).</p>
<p>Our results may have key implications for the double-anchor mechanism. Previous studies showed that the exposure of the region 65&#x2013;97 in the membrane-bound state of &#x3b1;S is a dominant factor in promoting vesicle&#x2013;vesicle interactions (<xref ref-type="bibr" rid="B27">Fusco et al., 2016b</xref>). From these studies, it was found that the active conformation of &#x3b1;S for the double-anchor mechanism includes the membrane anchoring through an N-terminal helix and the protrusion of the region 65&#x2013;97 away from the membrane surface, with the latter acting as an antenna to sense a second vesicle (state B&#x2a; in <xref ref-type="sec" rid="s10">Supplementary Figure S4</xref>). As this active conformation of membrane-bound &#x3b1;S is only transiently populated in the conformational ensemble (<xref ref-type="bibr" rid="B48">Man et al., 2020</xref>), its ability to engage in interactions with a second vesicle also relies on kinetic factors. In this context, the present finding that, in the region 87&#x2013;97, membrane binding is independent of the protein conformation provides evidence of a kinetically simplified binding mechanism that does not require a step of folding-upon-binding. We postulate that the identified modes of binding might have functional implications for the second anchor in the double-anchor mechanism to facilitate vesicle clustering by &#x3b1;S.</p>
<p>In conclusion, this study adds to the understanding of the membrane interaction of &#x3b1;S in view of the functional binding of the region 65&#x2013;97 and its role in SV clustering <italic>via</italic> the double-anchor mechanism. This region is also relevant for the pathological aggregation into toxic oligomers (<xref ref-type="bibr" rid="B24">Fusco et al., 2017</xref>) and largely overlaps with the amyloidogenic NAC segment of &#x3b1;S (<xref ref-type="bibr" rid="B69">Ueda et al., 1993</xref>; <xref ref-type="bibr" rid="B71">Uversky and Eliezer, 2009</xref>). In addition to exhibiting plasticity in adopting different conformations, that is, from the random coil in the cytosol (<xref ref-type="bibr" rid="B67">Theillet et al., 2016</xref>) to &#x3b1;-helix in the membrane bound (<xref ref-type="bibr" rid="B6">Bodner et al., 2009</xref>) and to &#x3b2;-sheet in the amyloid (<xref ref-type="bibr" rid="B68">Tuttle et al., 2016</xref>; <xref ref-type="bibr" rid="B41">Li et al., 2018</xref>), the central region of &#x3b1;S has been shown to have a promiscuous tendency to bind membranes both in disordered-tethered or helical-locked conformations. The chameleon nature of this region, which also hosts a regulation site <italic>via</italic> the phosphorylation of residues Ser 87 (<xref ref-type="bibr" rid="B55">Oueslati et al., 2012</xref>), is likely to be at the origin of the multiplicity of putative functions of &#x3b1;S but may also have aberrant roles in promoting unwanted interactions under conditions leading to &#x3b1;S aggregation in PD.</p>
</sec>
</body>
<back>
<sec id="s5">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s10">Supplementary Material</xref>. Further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s6">
<title>Author Contributions</title>
<p>ADS conceived the experiments. CN-P conducted the simulations. CN-P and MS-H built the restrained CF. All authors analyzed and discussed the results. CN-P and ADS wrote the manuscript with input from all authors.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>This research was supported by the European Research Council (ERC) Consolidator Grant (CoG) &#x201c;BioDisOrder&#x201d; (819644) and Alzheimer&#x2019;s Research United Kingdom (ARUK-PG2018B-013).</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<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>
<p>The handling editor declared a past collaboration with one of the authors, ADS.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<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>
<sec id="s10">
<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/fmolb.2022.857217/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmolb.2022.857217/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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