<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article SYSTEM "http://jats.nlm.nih.gov/archiving/1.2/JATS-archivearticle1.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="1.2" article-type="research-article" xml:lang="en"><?properties open_access?><front><journal-meta><journal-id journal-id-type="publisher-id">41467</journal-id><journal-id journal-id-type="doi">10.1038/41467.2041-1723</journal-id><journal-title-group><journal-title>Nature Communications</journal-title><abbrev-journal-title abbrev-type="publisher">Nat Commun</abbrev-journal-title></journal-title-group><issn pub-type="epub">2041-1723</issn><publisher><publisher-name>Nature Publishing Group UK</publisher-name><publisher-loc>London</publisher-loc></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">s41467-023-42232-3</article-id><article-id pub-id-type="manuscript">42232</article-id><article-id pub-id-type="doi">10.1038/s41467-023-42232-3</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group><subj-group subj-group-type="SubjectPath"><subject>/631/57/2265</subject></subj-group><subj-group subj-group-type="SubjectPath"><subject>/631/1647/2163</subject></subj-group><subj-group subj-group-type="SubjectPath"><subject>/631/45/56</subject></subj-group><subj-group subj-group-type="TechniquePath"><subject>/9</subject></subj-group><subj-group subj-group-type="TechniquePath"><subject>/49</subject></subj-group><subj-group subj-group-type="TechniquePath"><subject>/49/56</subject></subj-group><subj-group subj-group-type="TechniquePath"><subject>/101</subject></subj-group><subj-group subj-group-type="TechniquePath"><subject>/139</subject></subj-group><subj-group subj-group-type="NatureArticleTypeID"><subject>article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">An automated single-molecule FRET platform for high-content, multiwell plate screening of biomolecular conformations and dynamics</article-title></title-group><contrib-group><contrib contrib-type="author" corresp="yes" id="Au1"><contrib-id contrib-id-type="orcid">http://orcid.org/0000-0002-2213-2763</contrib-id><name><surname>Hartmann</surname><given-names>Andreas</given-names></name><xref ref-type="aff" rid="Aff1">1</xref><xref ref-type="corresp" rid="IDs41467023422323_cor1">a</xref></contrib><contrib contrib-type="author" id="Au2"><contrib-id contrib-id-type="orcid">http://orcid.org/0009-0007-7081-4498</contrib-id><name><surname>Sreenivasa</surname><given-names>Koushik</given-names></name><xref ref-type="aff" rid="Aff1">1</xref><xref ref-type="aff" rid="Aff5">5</xref></contrib><contrib contrib-type="author" id="Au3"><contrib-id contrib-id-type="orcid">http://orcid.org/0000-0003-2125-4045</contrib-id><name><surname>Schenkel</surname><given-names>Mathias</given-names></name><xref ref-type="aff" rid="Aff1">1</xref></contrib><contrib contrib-type="author" id="Au4"><contrib-id contrib-id-type="orcid">http://orcid.org/0000-0002-4657-9092</contrib-id><name><surname>Chamachi</surname><given-names>Neharika</given-names></name><xref ref-type="aff" rid="Aff1">1</xref></contrib><contrib contrib-type="author" id="Au5"><contrib-id contrib-id-type="orcid">http://orcid.org/0000-0001-7635-7143</contrib-id><name><surname>Schake</surname><given-names>Philipp</given-names></name><xref ref-type="aff" rid="Aff1">1</xref></contrib><contrib contrib-type="author" id="Au6"><contrib-id contrib-id-type="orcid">http://orcid.org/0000-0002-9626-7636</contrib-id><name><surname>Krainer</surname><given-names>Georg</given-names></name><xref ref-type="aff" rid="Aff1">1</xref><xref ref-type="aff" rid="Aff2">2</xref><xref ref-type="aff" rid="Aff6">6</xref></contrib><contrib contrib-type="author" corresp="yes" id="Au7"><contrib-id contrib-id-type="orcid">http://orcid.org/0000-0002-6209-2364</contrib-id><name><surname>Schlierf</surname><given-names>Michael</given-names></name><xref ref-type="aff" rid="Aff1">1</xref><xref ref-type="aff" rid="Aff3">3</xref><xref ref-type="aff" rid="Aff4">4</xref><xref ref-type="corresp" rid="IDs41467023422323_cor7">g</xref></contrib><aff id="Aff1"><label>1</label><institution-wrap><institution-id institution-id-type="ROR">https://ror.org/042aqky30</institution-id><institution-id institution-id-type="GRID">grid.4488.0</institution-id><institution-id institution-id-type="ISNI">0000 0001 2111 7257</institution-id><institution content-type="org-name">B CUBE Center for Molecular Bioengineering, TU Dresden</institution></institution-wrap><addr-line content-type="street">Tatzberg 41</addr-line><addr-line content-type="postcode">01307</addr-line><addr-line content-type="city">Dresden</addr-line><country country="DE">Germany</country></aff><aff id="Aff2"><label>2</label><institution-wrap><institution-id institution-id-type="ROR">https://ror.org/013meh722</institution-id><institution-id institution-id-type="GRID">grid.5335.0</institution-id><institution-id institution-id-type="ISNI">0000 0001 2188 5934</institution-id><institution content-type="org-division">Centre for Misfolding Diseases, Yusuf Hamied Department of Chemistry</institution><institution content-type="org-name">University of Cambridge</institution></institution-wrap><addr-line content-type="street">Lensfield Road</addr-line><addr-line content-type="postcode">CB2 1EW</addr-line><addr-line content-type="city">Cambridge</addr-line><country country="GB">UK</country></aff><aff id="Aff3"><label>3</label><institution-wrap><institution-id institution-id-type="ROR">https://ror.org/042aqky30</institution-id><institution-id institution-id-type="GRID">grid.4488.0</institution-id><institution-id institution-id-type="ISNI">0000 0001 2111 7257</institution-id><institution content-type="org-name">Physics of Life, DFG Cluster of Excellence, TU Dresden</institution></institution-wrap><addr-line content-type="postcode">01062</addr-line><addr-line content-type="city">Dresden</addr-line><country country="DE">Germany</country></aff><aff id="Aff4"><label>4</label><institution-wrap><institution-id institution-id-type="ROR">https://ror.org/042aqky30</institution-id><institution-id institution-id-type="GRID">grid.4488.0</institution-id><institution-id institution-id-type="ISNI">0000 0001 2111 7257</institution-id><institution content-type="org-name">Faculty of Physics, TU Dresden</institution></institution-wrap><addr-line content-type="postcode">01062</addr-line><addr-line content-type="city">Dresden</addr-line><country country="DE">Germany</country></aff><aff id="Aff5"><label>5</label><institution-wrap><institution-id institution-id-type="ROR">https://ror.org/02e2c7k09</institution-id><institution-id institution-id-type="GRID">grid.5292.c</institution-id><institution-id institution-id-type="ISNI">0000 0001 2097 4740</institution-id><institution content-type="org-division">Department of Bionanoscience</institution><institution content-type="org-name">Delft University of Technology</institution></institution-wrap><addr-line content-type="postcode">2629HZ</addr-line><addr-line content-type="city">Delft</addr-line><country country="NL">Netherlands</country></aff><aff id="Aff6"><label>6</label><institution-wrap><institution-id institution-id-type="ROR">https://ror.org/01faaaf77</institution-id><institution-id institution-id-type="GRID">grid.5110.5</institution-id><institution-id institution-id-type="ISNI">0000 0001 2153 9003</institution-id><institution content-type="org-division">Institute of Molecular Biosciences</institution><institution content-type="org-name">University of Graz</institution></institution-wrap><addr-line content-type="street">Humboldtstrasse 50/III</addr-line><addr-line content-type="postcode">8010</addr-line><addr-line content-type="city">Graz</addr-line><country country="AT">Austria</country></aff></contrib-group><author-notes><corresp id="IDs41467023422323_cor1"><label>a</label><email>andreas.hartmann2@tu-dresden.de</email></corresp><corresp id="IDs41467023422323_cor7"><label>g</label><email>michael.schlierf@tu-dresden.de</email></corresp></author-notes><pub-date date-type="pub" publication-format="electronic"><day>16</day><month>10</month><year>2023</year></pub-date><pub-date date-type="collection" publication-format="electronic"><month>12</month><year>2023</year></pub-date><volume>14</volume><issue seq="6511">1</issue><elocation-id>6511</elocation-id><history><date date-type="registration"><day>4</day><month>10</month><year>2023</year></date><date date-type="received"><day>8</day><month>3</month><year>2023</year></date><date date-type="accepted"><day>3</day><month>10</month><year>2023</year></date><date date-type="online"><day>16</day><month>10</month><year>2023</year></date></history><permissions><copyright-statement>© The Author(s) 2023</copyright-statement><copyright-year>2023</copyright-year><license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0/"><license-p><bold>Open Access</bold> This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit <ext-link xlink:href="http://creativecommons.org/licenses/by/4.0/" ext-link-type="url">http://creativecommons.org/licenses/by/4.0/</ext-link>.</license-p></license></permissions><abstract id="Abs1" xml:lang="en"><title>Abstract</title><p id="Par1">Single-molecule FRET (smFRET) has become a versatile tool for probing the structure and functional dynamics of biomolecular systems, and is extensively used to address questions ranging from biomolecular folding to drug discovery. Confocal smFRET measurements are amongst the widely used smFRET assays and are typically performed in a single-well format. Thus, sampling of many experimental parameters is laborious and time consuming. To address this challenge, we extend here the capabilities of confocal smFRET beyond single-well measurements by integrating a multiwell plate functionality to allow for continuous and automated smFRET measurements. We demonstrate the broad applicability of the multiwell plate assay towards DNA hairpin dynamics, protein folding, competitive and cooperative protein–DNA interactions, and drug-discovery, revealing insights that would be very difficult to achieve with conventional single-well format measurements. For the adaptation into existing instrumentations, we provide a detailed guide and open-source acquisition and analysis software.</p></abstract><abstract id="Abs2" xml:lang="en"><p id="Par2">Single-molecule FRET (smFRET) studies often struggle with large parameter spaces. Here, the authors introduce an automated smFRET platform for multiwell plate screening of biomolecular conformations and dynamics.</p></abstract><funding-group><award-group><funding-source><institution-wrap><institution>Deutsche Forschungsgemeinschaft (German Research Foundation)</institution><institution-id institution-id-type="doi" vocab="open-funder-registry">https://doi.org/10.13039/501100001659</institution-id></institution-wrap></funding-source><award-id award-type="FundRef grant">SCHL1896/3-1</award-id><award-id award-type="FundRef grant">SCHL1896/4-1</award-id><principal-award-recipient><name><surname>Schlierf</surname><given-names>Michael</given-names></name></principal-award-recipient><principal-award-recipient><name><surname>Schlierf</surname><given-names>Michael</given-names></name></principal-award-recipient></award-group><award-group><funding-source><institution-wrap><institution>Bundesministerium für Bildung und Forschung (Federal Ministry of Education and Research)</institution><institution-id institution-id-type="doi" vocab="open-funder-registry">https://doi.org/10.13039/501100002347</institution-id></institution-wrap></funding-source><award-id award-type="FundRef grant">Z22E511</award-id><principal-award-recipient><name><surname>Schlierf</surname><given-names>Michael</given-names></name></principal-award-recipient></award-group><award-group><funding-source><institution-wrap><institution>Mukoviszidose Institut gGmbH</institution></institution-wrap></funding-source></award-group><award-group><funding-source><institution-wrap><institution>European Social Fund and Saxon State Parliament</institution></institution-wrap></funding-source></award-group><award-group><funding-source><institution-wrap><institution>EC | EU Framework Programme for Research and Innovation H2020 | H2020 Priority Excellent Science | H2020 Marie Skłodowska-Curie Actions (H2020 Excellent Science - Marie Skłodowska-Curie Actions)</institution><institution-id institution-id-type="doi" vocab="open-funder-registry">https://doi.org/10.13039/100010665</institution-id></institution-wrap></funding-source><award-id award-type="FundRef grant">841466</award-id><principal-award-recipient><name><surname>Krainer</surname><given-names>Georg</given-names></name></principal-award-recipient></award-group><award-group><funding-source><institution-wrap><institution>Herchel Smith Funds of the University of Cambridge Wolfson College Junior Research Fellowship</institution></institution-wrap></funding-source></award-group></funding-group><custom-meta-group><custom-meta><meta-name>publisher-imprint-name</meta-name><meta-value>Nature Portfolio</meta-value></custom-meta><custom-meta><meta-name>volume-issue-count</meta-name><meta-value>1</meta-value></custom-meta><custom-meta><meta-name>issue-article-count</meta-name><meta-value>7390</meta-value></custom-meta><custom-meta><meta-name>issue-toc-levels</meta-name><meta-value>0</meta-value></custom-meta><custom-meta><meta-name>issue-pricelist-year</meta-name><meta-value>2023</meta-value></custom-meta><custom-meta><meta-name>issue-copyright-holder</meta-name><meta-value>Springer Nature Limited</meta-value></custom-meta><custom-meta><meta-name>issue-copyright-year</meta-name><meta-value>2023</meta-value></custom-meta><custom-meta><meta-name>article-contains-esm</meta-name><meta-value>Yes</meta-value></custom-meta><custom-meta><meta-name>article-numbering-style</meta-name><meta-value>Unnumbered</meta-value></custom-meta><custom-meta><meta-name>article-registration-date-year</meta-name><meta-value>2023</meta-value></custom-meta><custom-meta><meta-name>article-registration-date-month</meta-name><meta-value>10</meta-value></custom-meta><custom-meta><meta-name>article-registration-date-day</meta-name><meta-value>4</meta-value></custom-meta><custom-meta><meta-name>article-toc-levels</meta-name><meta-value>0</meta-value></custom-meta><custom-meta><meta-name>toc-levels</meta-name><meta-value>0</meta-value></custom-meta><custom-meta><meta-name>volume-type</meta-name><meta-value>Regular</meta-value></custom-meta><custom-meta><meta-name>journal-product</meta-name><meta-value>NonStandardArchiveJournal</meta-value></custom-meta><custom-meta><meta-name>numbering-style</meta-name><meta-value>Unnumbered</meta-value></custom-meta><custom-meta><meta-name>article-grants-type</meta-name><meta-value>OpenChoice</meta-value></custom-meta><custom-meta><meta-name>metadata-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>abstract-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>bodypdf-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>bodyhtml-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>bibliography-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>esm-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>online-first</meta-name><meta-value>false</meta-value></custom-meta><custom-meta><meta-name>pdf-file-reference</meta-name><meta-value>BodyRef/PDF/41467_2023_Article_42232.pdf</meta-value></custom-meta><custom-meta><meta-name>pdf-type</meta-name><meta-value>Typeset</meta-value></custom-meta><custom-meta><meta-name>target-type</meta-name><meta-value>OnlinePDF</meta-value></custom-meta><custom-meta><meta-name>issue-type</meta-name><meta-value>Regular</meta-value></custom-meta><custom-meta><meta-name>article-type</meta-name><meta-value>OriginalPaper</meta-value></custom-meta><custom-meta><meta-name>journal-subject-primary</meta-name><meta-value>Science, Humanities and Social Sciences, multidisciplinary</meta-value></custom-meta><custom-meta><meta-name>journal-subject-secondary</meta-name><meta-value>Science, Humanities and Social Sciences, multidisciplinary</meta-value></custom-meta><custom-meta><meta-name>journal-subject-secondary</meta-name><meta-value>Science, multidisciplinary</meta-value></custom-meta><custom-meta><meta-name>journal-subject-collection</meta-name><meta-value>Science (multidisciplinary)</meta-value></custom-meta><custom-meta><meta-name>open-access</meta-name><meta-value>true</meta-value></custom-meta></custom-meta-group></article-meta><notes notes-type="AuthorContribution"><p>These authors contributed equally: Koushik Sreenivasa, Mathias Schenkel, Neharika Chamachi, Philipp Schake.</p></notes></front><body><sec id="Sec1" sec-type="introduction"><title>Introduction</title><p id="Par3">Single-molecule Förster resonance energy transfer (smFRET) has become a widely used technique to monitor biomolecular conformations and dynamics on the nanometer scale<sup><xref ref-type="bibr" rid="CR1">1</xref>,<xref ref-type="bibr" rid="CR2">2</xref></sup>. Advanced data analysis approaches to characterize dynamics from nanoseconds to minutes and hours<sup><xref ref-type="bibr" rid="CR3">3</xref>–<xref ref-type="bibr" rid="CR7">7</xref></sup>, together with standardizations across many laboratories and open science initiatives, have pushed smFRET to a routinely accessible technique in biophysical and biochemical research<sup><xref ref-type="bibr" rid="CR8">8</xref>–<xref ref-type="bibr" rid="CR13">13</xref></sup>. smFRET, due to its versatility and sensitivity, is now extensively used to address a wide range of questions in dynamic structural biology and biophysics, including the functional mechanisms of enzymes and membrane proteins<sup><xref ref-type="bibr" rid="CR14">14</xref>–<xref ref-type="bibr" rid="CR16">16</xref></sup>, protein–nucleic acid and small-molecule–protein interactions<sup><xref ref-type="bibr" rid="CR17">17</xref>,<xref ref-type="bibr" rid="CR18">18</xref></sup>, and protein or nucleic-acid folding<sup><xref ref-type="bibr" rid="CR8">8</xref>,<xref ref-type="bibr" rid="CR19">19</xref>,<xref ref-type="bibr" rid="CR20">20</xref></sup>, to name but a few<sup><xref ref-type="bibr" rid="CR2">2</xref>,<xref ref-type="bibr" rid="CR10">10</xref>,<xref ref-type="bibr" rid="CR21">21</xref></sup>.</p><p id="Par4">Despite their popularity, smFRET studies often require the curation of large datasets with high statistics and the sampling of a wide parameter space, for example, by varying one or more constituent molecular components in ten or more steps. For instance, structure determination of biomolecular conformations using trilateration approaches requires measurement of multiple directions by FRET, which are often probed in combination with a variation of solution conditions<sup><xref ref-type="bibr" rid="CR22">22</xref>,<xref ref-type="bibr" rid="CR23">23</xref></sup>. To uncover biomolecular interactions and changes in protein and nucleic-acid structures, for example, in functional investigations or folding studies, ligand or co-solute concentrations are typically varied over several orders of magnitude, giving insights into changes in molecular conformations and kinetics as well as information on binding stoichiometries and affinities<sup><xref ref-type="bibr" rid="CR24">24</xref>–<xref ref-type="bibr" rid="CR27">27</xref></sup>. Such measurements also often demand a high sampling density to alleviate overparameterization effects and to increase fitting accuracy and precision. Moreover, for the determination of experimental variability, a need for technical and biological replicates arises in general, not least to ascertain reproducibility and enhance scientific rigor<sup><xref ref-type="bibr" rid="CR9">9</xref>,<xref ref-type="bibr" rid="CR13">13</xref>,<xref ref-type="bibr" rid="CR28">28</xref></sup>. Hence, rapidly more than 50 conditions need to be probed in smFRET experiments.</p><p id="Par5">Unfortunately, curation of large datasets and sampling of multiple conditions is laborious and time consuming with current smFRET modalities. Confocal smFRET measurements, for example, which are amongst the widely used smFRET assays, are typically performed in a single-well format and measurements are normally conducted in a manual manner, in that, an experimenter needs to replenish and equilibrate the sample after each experiment. Such manual experimentation is also susceptible to changes in environmental conditions, like changes in temperature, instrumental stability, or other parameters. Approaches, based on microfluidic mixing<sup><xref ref-type="bibr" rid="CR29">29</xref></sup> or multi-spot confocal readouts<sup><xref ref-type="bibr" rid="CR30">30</xref></sup>, have been devised to address these issues, for example, by providing the possibility to vary constituent molecular concentrations or reducing the measurement times per sample chamber. However, these approaches rely on extensive customization and custom-made hardware, are often not easily integratable into existing setups, and typically require expert knowledge not necessarily available in standard lab settings. Moreover, automation is not easily achievable with these approaches.</p><p id="Par6">An attractive, alternative way to address the need for generating large datasets and sampling of a large parameter space are multiwell plates. Multiwell plates are ubiquitous tools in all areas of science because they allow collecting data for tens to hundreds of different conditions<sup><xref ref-type="bibr" rid="CR31">31</xref></sup>. Hence, implementing multiwell readouts in smFRET experiments should lend itself a powerful approach to probe many different conditions in a fully automated manner within a single continuous experiment under controlled conditions. Fluorescence microscopy experiments for large-scale screening, for example, of single-molecule fluorescence in situ hybridization (smFISH), RNA interference or organoids, have been automated already in many applications based on 96-well or larger multiwell plates<sup><xref ref-type="bibr" rid="CR32">32</xref>–<xref ref-type="bibr" rid="CR34">34</xref></sup>. A recent study described high-throughput fluorescence correlation spectroscopy for 96-well plates<sup><xref ref-type="bibr" rid="CR35">35</xref></sup>, however, to our knowledge the powerful platform of multiwell plates has not yet been transferred to a format suitable for applications in smFRET experiments, neither by manufacturers of microscopes nor by manufacturers of specialized single-molecule spectroscopy instruments.</p><p id="Par7">Here, we introduce an automated smFRET platform for high-content, multiwell plate screening of biomolecular conformations and dynamics. We describe the implementation of multiwell plates for fully automated confocal smFRET measurements in a single, continuous experiment. We provide an open-source software suite for data acquisition, processing, analysis, and visualization. To illustrate the broad applicability of the multiwell plate measurement format, we validate the approach using an array of systems with increasing complexity. Using a DNA ruler system, we show that high precision and accuracy between sample wells can be achieved down to Ångström distances. We further evaluate the possibility to extract millisecond transition rates for DNA nanostructures. In protein-unfolding experiments, we determine thermodynamic stability parameters and parameters related to protein dynamics with high accuracy and sampling density and gain new insights into protein folding mechanisms. We then expand the multiwell plate system to study multi-component systems by probing the competition of two proteins for the same DNA substrate. We thereby discover a simultaneous binding interaction of RecA and SSB to single-stranded DNA, through the fine sampling in our multiwell plate smFRET assay. Finally, we illustrate the capability to use the multiwell plate smFRET format to screen for small-molecule–protein interactions using a misfolding model of the human cystic fibrosis transmembrane conductance regulator (CFTR) and gain quantitative readouts of the drug–protein interactions. Taken together, we anticipate that our approach will transform smFRET measurements by enabling the acquisition of high-content smFRET datasets for single-molecule analysis in dynamic structural biology and biophysics, and beyond.</p></sec><sec id="Sec2" sec-type="results"><title>Results</title><sec id="Sec3"><title>Automated multiwell plate smFRET measurements</title><p id="Par8">Typical commercial or custom-built confocal smFRET instruments allow for individual experiments in a single-well chamber mounted onto a stage for positioning and focusing. Such single-well chambers require cleaning, refilling, and equilibration for each experiment, making it laborious for the experimenter to conduct measurements, thereby limiting throughput, and affecting potentially stable conditions for a large set of experiments. Here, we extend the capabilities of confocal smFRET beyond single-well measurements by integrating a multiwell plate functionality into a confocal microscope to allow for continuous and automated smFRET measurements (Fig. <xref rid="Fig1" ref-type="fig">1</xref>).<fig id="Fig1"><label>Fig. 1</label><caption xml:lang="en"><title>Automated multiwell plate smFRET measurements.</title><p>Illustration of the automated single-molecule detection setup implementing a multiwell plate functionality for smFRET experiments. A motorized scanning stage holds the sealed multiwell plate and proceeds from well to well. A liquid dispenser replaces the immersion medium of the water objective and the autofocus maintains the objective focus at a fixed position in solution. Single-molecule fluorescence recordings are performed using a multiparameter confocal fluorescence microscope equipped with pulsed lasers, a high-numerical water objective, and spectrally- and polarization-sensitive single-photon detectors (for simplicity only one polarization is illustrated; see also Supplementary Information). An integrated open-source software suite (available on Github) with graphical user interfaces performs data acquisition, processing, analysis, and visualization. Data can be visualized for each well or ranges of wells (A01, A02, …, H12).</p></caption><p><graphic specific-use="HTML" mime-subtype="PNG" xlink:href="MediaObjects/41467_2023_42232_Fig1_HTML.png"/></p></fig></p><p id="Par9">To this end, we equipped a multiparameter single-molecule detection microscope with three major additional and commercially available components (Fig. <xref rid="Fig1" ref-type="fig">1</xref>, Supplementary Table <xref ref-type="supplementary-material" rid="MOESM1">1</xref>): (i) a motorized x-y stage, capable of holding a multiwell (e.g., 96-well) plate with a position accuracy &lt;40 µm; (ii) a heating pad for the multiwell plate to prevent condensation on the well-plate sealing, which is operated a few Kelvin above the desired temperature (e.g., room temperature); and (iii) a liquid dispenser, which frequently replaces the evaporating immersion medium of the high numerical aperture water objective. During continuous measurements, the confocal detection volume is maintained 30 µm in solution using an autofocus system integrated in the microscope (Supplementary Table <xref ref-type="supplementary-material" rid="MOESM1">1</xref>).</p><p id="Par10">A custom-written, open-source data acquisition software (Fig. <xref rid="Fig1" ref-type="fig">1</xref>), written in Python, synchronizes x-y positioning with data acquisition using predefined libraries of the hardware. Using our software’s graphical user interface (GUI; pyMULTI; available on GitHub), measurement wells and times including descriptive text can be defined. During measurements, the acquired fluorescence data is saved in subfolders for subsequent data analysis. Data analysis is performed by our open-source GUI software (pyBAT and pyVIZ; available on GitHub) and involves fluorescence burst search routines, smFRET analysis, and data visualization, all following state-of-the-art analysis protocols<sup><xref ref-type="bibr" rid="CR9">9</xref></sup>. In summary, the presented instrument platform with smFRET data acquisition and analysis scripts allows us to perform multiwell plate smFRET experiments in an automated fashion.</p><p id="Par11">In a first set of experiments, we aimed at evaluating the accuracy and precision of multiwell plate measurements and assessing their variability over time. To this end, we performed 96 independent but identical smFRET measurements of a mixture of two rigid double-stranded DNA ruler constructs with 9- and 21-base pair (bp) distance between the acceptor and donor fluorophores, respectively (Fig. <xref rid="Fig2" ref-type="fig">2b</xref>, Supplementary Table <xref ref-type="supplementary-material" rid="MOESM1">4</xref>). We chose the two DNA constructs to validate the accuracy and precision in extracting low- and high-FRET efficiency populations, according to published standards<sup><xref ref-type="bibr" rid="CR9">9</xref></sup>. Furthermore, we used the two FRET populations to determine correction factors for each measurement repeat, and thereby assessed the measurement stability (<xref ref-type="supplementary-material" rid="MOESM1">Supplementary Methods</xref> and Supplementary Fig. <xref ref-type="supplementary-material" rid="MOESM1">4</xref>). We loaded the mixture into each well of a 96-well plate, and performed smFRET measurements, using pulsed-interleaved excitation (Fig. <xref rid="Fig1" ref-type="fig">1</xref>), a widely used excitation scheme in single-molecule fluorescence spectroscopy<sup><xref ref-type="bibr" rid="CR36">36</xref>,<xref ref-type="bibr" rid="CR37">37</xref></sup> (see “Methods”). This allowed us to extract additional information for each detected molecule, such as about stoichiometry and lifetime of the donor and acceptor fluorescence. In total, we recorded 20-min-long photon streams of donor and acceptor fluorescence for each of the 96 wells, resulting in a total measurement duration of about 32 h. The data were analyzed using pyBAT and pyVIZ yielding FRET efficiency (<italic>E</italic>) histograms with an average number of <inline-formula id="IEq1"><alternatives><mml:math><mml:mfenced close="⟩" open="⟨"><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mn>1322</mml:mn><mml:mo>±</mml:mo><mml:mn>108</mml:mn></mml:math><tex-math id="IEq1_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\left\langle N\right\rangle=1322\pm 108$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq1.gif"/></alternatives></inline-formula> bursts per well without any significant loss of molecules over the 32-h-measurement period (Supplementary Fig. <xref ref-type="supplementary-material" rid="MOESM1">4</xref>). We evaluated the measured <italic>E</italic> values of the two DNA rulers for their accuracy and precision. To this end, we fitted all individual 96 <italic>E</italic>-histograms with two Gaussian distributions to extract the mean FRET efficiencies, the standard deviation, and the ratio of molecules in the 21-bp population (Supplementary Fig. <xref ref-type="supplementary-material" rid="MOESM1">4C</xref>). Remarkably, we found only minimal deviations between the 96 measurements. The cumulated <italic>E</italic>-histogram of all 96 wells (Fig. <xref rid="Fig2" ref-type="fig">2c</xref>, top panel) yielded <inline-formula id="IEq2"><alternatives><mml:math><mml:mfenced close="⟩" open="⟨"><mml:mrow><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mn>9</mml:mn><mml:mstyle><mml:mtext>bp</mml:mtext></mml:mstyle></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mn>0.797</mml:mn><mml:mo>±</mml:mo><mml:mn>0.001</mml:mn></mml:math><tex-math id="IEq2_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\left\langle {E}_{9{{\mbox{bp}}}}\right\rangle=0.797\pm 0.001$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq2.gif"/></alternatives></inline-formula> and <inline-formula id="IEq3"><alternatives><mml:math><mml:mfenced close="⟩" open="⟨"><mml:mrow><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mn>21</mml:mn><mml:mstyle><mml:mtext>bp</mml:mtext></mml:mstyle></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mn>0.146</mml:mn><mml:mo>±</mml:mo><mml:mn>0.001</mml:mn></mml:math><tex-math id="IEq3_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\left\langle {E}_{21{{\mbox{bp}}}}\right\rangle=0.146\pm 0.001$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq3.gif"/></alternatives></inline-formula>, which agrees very well with the expected FRET efficiencies (<inline-formula id="IEq4"><alternatives><mml:math><mml:msubsup><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mn>9</mml:mn><mml:mstyle><mml:mtext>bp</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mstyle><mml:mtext>theo</mml:mtext></mml:mstyle></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mn>0.777</mml:mn><mml:mo>±</mml:mo><mml:mn>0.009</mml:mn></mml:math><tex-math id="IEq4_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${E}_{9{{\mbox{bp}}}}^{{{\mbox{theo}}}}=0.777\pm 0.009$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq4.gif"/></alternatives></inline-formula> and <inline-formula id="IEq5"><alternatives><mml:math><mml:msubsup><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mn>21</mml:mn><mml:mstyle><mml:mtext>bp</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mstyle><mml:mtext>theo</mml:mtext></mml:mstyle></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mn>0.159</mml:mn><mml:mo>±</mml:mo><mml:mn>0.008</mml:mn></mml:math><tex-math id="IEq5_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${E}_{21{{\mbox{bp}}}}^{{{\mbox{theo}}}}=0.159\pm 0.008$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq5.gif"/></alternatives></inline-formula>) using accessible volume simulations<sup><xref ref-type="bibr" rid="CR38">38</xref></sup>. The mean absolute deviation is &lt;8.2% (i.e., 0.8 Å for the 9 bp ruler and 1.1 Å for the 21 bp ruler). We found a very low variation of the measured FRET efficiencies between the individual measurements, as gauged by a standard deviation of <inline-formula id="IEq6"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>σ</mml:mi></mml:mrow><mml:mrow><mml:mfenced close="⟩" open="⟨"><mml:mrow><mml:mi>E</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:msub><mml:mo>&lt;</mml:mo><mml:mn>0.006</mml:mn></mml:math><tex-math id="IEq6_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${\sigma }_{\left\langle E\right\rangle } &lt; 0.006$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq6.gif"/></alternatives></inline-formula>. Notably, the minimal loss of molecules throughout the measurement (Supplementary Fig. <xref ref-type="supplementary-material" rid="MOESM1">4A</xref>) as well as the low variability in the population ratio (Supplementary Fig. <xref ref-type="supplementary-material" rid="MOESM1">4D</xref>) confirms the measurement stability of the assay. Further, we did not observe any significant loss due to photo bleaching. In conclusion, our multiwell plate smFRET platform enables high-fidelity measurement of FRET samples with little variability over time. Uniquely, the multiwell platform provides the possibility to acquire data from tens to hundreds of conditions with high accuracy and precision, in accordance with conventional single-well chamber smFRET measurements<sup><xref ref-type="bibr" rid="CR9">9</xref></sup>.<fig id="Fig2"><label>Fig. 2</label><caption xml:lang="en"><title>Probing conformational changes of biomolecules by multiwell plate smFRET.</title><p><bold>a</bold> The multiwell plate format provides the convenience to screen multiple sample repeats or concentration gradients. <bold>b</bold> Evaluation of the accuracy and precision of multiwell plate smFRET measurements using rigid DNA ruler constructs. 96 independent, but identical repeats of a mixture of two double-stranded DNA ruler constructs with 21- and 9-bp spacing between the acceptor (red) and donor (green) fluorophores. <bold>c</bold> Cumulated FRET efficiency histogram of all 96 wells (top) and the two-dimensional (2-D) histogram of <italic>E</italic><sub>FRET</sub> versus multiwell plate repeat (bottom). The error bars indicate the standard deviation (SD) derived from the 96 measurement repeats. Expected <italic>E</italic><sub>FRET</sub> for the two constructs (calculated by accessible volume (AV) simulations<sup><xref ref-type="bibr" rid="CR38">38</xref></sup>), are indicated as black solid lines. The confidence intervals (black dashed lines) are derived from the uncertainty of the Förster radius. <bold>d</bold> 2-D <italic>E</italic><sub>FRET</sub> histogram of the salt-dependent structural dynamics of the hpT<sub>5</sub> DNA hairpin in a 96-well plate. Inset: Schematic of the hairpin structure with donor and acceptor fluorophore positions indicated. <bold>e</bold><italic>E</italic><sub>FRET</sub> histogram of hpT<sub>5</sub> at 782 mM NaCl fitted with a dynamic 3-Gaussian model<sup><xref ref-type="bibr" rid="CR5">5</xref>,<xref ref-type="bibr" rid="CR40">40</xref>,<xref ref-type="bibr" rid="CR41">41</xref></sup> (red line and black dashed lines). The intermediate <italic>E</italic><sub>FRET</sub> population originates from molecules changing their conformation between open and closed state during the diffusion through the confocal volume. <bold>f</bold> Opening rates of hpT<sub>5</sub> decrease linearly with increasing NaCl concentration (red straight line). Closing rates of hpT<sub>5</sub> exhibit a non-linear behavior at lower salt concentrations, which is well described by a model considering the apparent concentration (red curved line). Data are presented as predicted value +/−68% confidence interval (CI) as derived by the dynamic 3-G fit. <bold>g</bold> 2-D <italic>E</italic><sub>FRET</sub> histogram of GdmCl-induced unfolding of the protein S6 in a 96-well plate format. Inset: Schematic of the protein with donor and acceptor fluorophore positions indicated. <bold>h</bold> FRET efficiency histogram of S6 at 3.2 M GdmCl (gray bars) and the double Gaussian fit (red line) to quantify the fraction of unfolded molecules. <bold>i</bold> Fraction of unfolded S6 molecules as a function of GdmCl concentration. Data are presented as predicted value +/−68% CI as derived by the static 2-G fit. Data was fitted using Eq. 11 (red line). Source data are provided as a Source data file.</p></caption><p><graphic specific-use="HTML" mime-subtype="PNG" xlink:href="MediaObjects/41467_2023_42232_Fig2_HTML.png"/></p></fig></p></sec><sec id="Sec4"><title>Probing conformational changes of biomolecules by multiwell plate smFRET</title><p id="Par12">Dynamic structural changes of nucleic acids and proteins are central to their functionalities<sup><xref ref-type="bibr" rid="CR2">2</xref></sup>. smFRET is frequently used to gain structural and dynamic insights into conformational changes of nucleic acids and proteins, and to decipher their folding and assembly mechanisms<sup><xref ref-type="bibr" rid="CR8">8</xref>,<xref ref-type="bibr" rid="CR10">10</xref>,<xref ref-type="bibr" rid="CR13">13</xref></sup>. In particular changes of solution conditions are an important tool to tune kinetics of structural transitions and to drive molecules into desired conformations. Here, a large dataset is particularly advantageous to extract kinetic and thermodynamic parameters with high accuracy and precision. To demonstrate this, we applied our multiwell plate smFRET assay to a highly dynamic DNA hairpin system and to the unfolding of a small globular protein.</p><p id="Par13">In a first experiment, we determined the effects of salt on the kinetics of a dynamic DNA hairpin (hpT<sub>5</sub>) comprising a 5-bp long complementary annealing stem and a single-stranded loop of 21 thymidine (dT) nucleotides (nts) (Fig. <xref rid="Fig2" ref-type="fig">2d</xref> inset, Supplementary Table <xref ref-type="supplementary-material" rid="MOESM1">4</xref>). The hairpin was designed such that it transiently anneals at a temperature of 25 °C at high salt concentrations, thereby rapidly interconverting between the open and closed conformations on the millisecond timescale, as previously reported<sup><xref ref-type="bibr" rid="CR39">39</xref></sup>. To explore the salt-dependent opening and closing rates of hpT<sub>5</sub>, we designed a 96-step gradient of NaCl from 0.1 M to 1 M and added ~100 pM of the DNA hairpin to each well. At low salt concentrations, the hairpin appeared mostly in the open, low FRET state (<inline-formula id="IEq7"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">app</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mspace width="0.25em"/><mml:mo>≈</mml:mo><mml:mspace width="0.25em"/><mml:mn>0.1</mml:mn></mml:math><tex-math id="IEq7_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${E}_{{{{{{\rm{app}}}}}},{{{{{\rm{O}}}}}}}\,\approx \,0.1$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq7.gif"/></alternatives></inline-formula>). Upon increasing salt concentrations, we observed the appearance of a high FRET population (<inline-formula id="IEq8"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">app</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:msub><mml:mspace width="0.25em"/><mml:mo>≈</mml:mo><mml:mspace width="0.25em"/><mml:mn>0.7</mml:mn></mml:math><tex-math id="IEq8_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${E}_{{{{{{\rm{app}}}}}},{{{{{\rm{C}}}}}}}\,\approx \,0.7$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq8.gif"/></alternatives></inline-formula>) representing the fully annealed DNA hairpin structure. In addition to the open and closed state populations at low and high FRET efficiencies, the hairpin also exhibits a population at intermediate FRET efficiencies, as shown for <inline-formula id="IEq9"><alternatives><mml:math><mml:mfenced close="]" open="["><mml:mrow><mml:mi mathvariant="normal">NaCl</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mn>782</mml:mn><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">mM</mml:mi></mml:math><tex-math id="IEq9_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\left[{{{{{\rm{NaCl}}}}}}\right]=782\,{{{{{{\rm{mM}}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq9.gif"/></alternatives></inline-formula> (Fig. <xref rid="Fig2" ref-type="fig">2e</xref> and Supplementary Fig. <xref ref-type="supplementary-material" rid="MOESM1">5</xref>). FRET fluctuation analysis of individual fluorescence bursts (<xref ref-type="supplementary-material" rid="MOESM1">Supplementary Methods</xref> and Supplementary Fig. <xref ref-type="supplementary-material" rid="MOESM1">5</xref>) revealed that this population, termed bridge population, originates from hairpin molecules exhibiting dynamic interconversion dynamics between the open or closed conformation during the ~1-ms-long passage time through the confocal observation volume (i.e., millisecond dynamics). In order to quantify the interconversion rates<inline-formula id="IEq10"><alternatives><mml:math><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mstyle><mml:mtext>open</mml:mtext></mml:mstyle></mml:mrow></mml:msub></mml:math><tex-math id="IEq10_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$,{k}_{{{\mbox{open}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq10.gif"/></alternatives></inline-formula> and <inline-formula id="IEq11"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mstyle><mml:mtext>close</mml:mtext></mml:mstyle></mml:mrow></mml:msub></mml:math><tex-math id="IEq11_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${k}_{{{\mbox{close}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq11.gif"/></alternatives></inline-formula>, between the open and the closed states of hpT<sub>5</sub>, respectively, we used a dynamic 3-Gaussian (3-G) approximation as described earlier<sup><xref ref-type="bibr" rid="CR5">5</xref>,<xref ref-type="bibr" rid="CR40">40</xref>,<xref ref-type="bibr" rid="CR41">41</xref></sup>. Using this approach, we modeled the <italic>E</italic>-histogram for each NaCl concentration with three coupled Gaussian distributions corresponding to the open, bridge-like, and closed population (Fig. <xref rid="Fig2" ref-type="fig">2e</xref>, solid and dashed lines, Supplementary Fig. <xref ref-type="supplementary-material" rid="MOESM1">5B</xref>). The extracted opening and closing rates for the DNA hairpin are plotted in Fig. <xref rid="Fig2" ref-type="fig">2f</xref>. We observed a linear salt dependence of the opening rate (red straight line) with a decline of <inline-formula id="IEq12"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">open</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo>−</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>1.31</mml:mn><mml:mo>±</mml:mo><mml:mn>0.04</mml:mn></mml:mrow></mml:mfenced><mml:mspace width="0.25em"/><mml:msup><mml:mrow><mml:mi mathvariant="normal">ms</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi mathvariant="normal">M</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math><tex-math id="IEq12_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${m}_{{{{{{\rm{open}}}}}}}=-\left(1.31\pm 0.04\right)\,{{{{{{\rm{ms}}}}}}}^{-1}{{{{{{\rm{M}}}}}}}^{-1}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq12.gif"/></alternatives></inline-formula> and an extrapolated rate at zero salt of <inline-formula id="IEq13"><alternatives><mml:math><mml:msubsup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">open</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>1.89</mml:mn><mml:mo>±</mml:mo><mml:mn>0.03</mml:mn></mml:mrow></mml:mfenced><mml:mspace width="0.25em"/><mml:msup><mml:mrow><mml:mi mathvariant="normal">ms</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math><tex-math id="IEq13_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${k}_{{{{{{\rm{open}}}}}}}^{0}=\left(1.89\pm 0.03\right)\,{{{{{{\rm{ms}}}}}}}^{-1}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq13.gif"/></alternatives></inline-formula>. By contrast, the closing rate deviates from a linear behavior and exhibits an unexpected curvature at lower salt concentrations towards smaller rates. To explain this behavior, we developed a model to account for this curvature by considering the apparent local concentration [<inline-formula id="IEq14"><alternatives><mml:math><mml:mi>A</mml:mi></mml:math><tex-math id="IEq14_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$A$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq14.gif"/></alternatives></inline-formula>] of the 5-bp strand around its complementary strand <inline-formula id="IEq15"><alternatives><mml:math><mml:mi>Ā</mml:mi></mml:math><tex-math id="IEq15_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\bar{A}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq15.gif"/></alternatives></inline-formula> (i.e., proximal stem of hpT<sub>5</sub> connected by the 21-nt long loop). Briefly, the concentration [<inline-formula id="IEq16"><alternatives><mml:math><mml:mi>A</mml:mi></mml:math><tex-math id="IEq16_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$A$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq16.gif"/></alternatives></inline-formula>] was calculated from the spherical volume that is spanned by the average distance <inline-formula id="IEq17"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mo>−</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">A</mml:mi></mml:mrow><mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:msub></mml:math><tex-math id="IEq17_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${R}_{{{{{{\rm{A}}}}}}-\bar{{{{{{\rm{A}}}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq17.gif"/></alternatives></inline-formula> between the two ends of the 21-nt long loop, where <inline-formula id="IEq18"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mo>−</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="normal">A</mml:mi></mml:mrow><mml:mo>¯</mml:mo></mml:mover></mml:mrow></mml:msub></mml:math><tex-math id="IEq18_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${R}_{{{{{{\rm{A}}}}}}-\bar{{{{{{\rm{A}}}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq18.gif"/></alternatives></inline-formula> was derived from the root-mean-square end-to-end distance of a worm-like chain polymer with contour length <inline-formula id="IEq19"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">c</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>14.2</mml:mn><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">nm</mml:mi></mml:math><tex-math id="IEq19_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${l}_{{{{{{\rm{c}}}}}}}=14.2\,{{{{{\rm{nm}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq19.gif"/></alternatives></inline-formula> and a calculated ionic-strength dependent persistence length <inline-formula id="IEq20"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">p</mml:mi></mml:mrow></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:mi>I</mml:mi></mml:mrow></mml:mfenced></mml:math><tex-math id="IEq20_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${l}_{{{{{{\rm{p}}}}}}}\left(I\right)$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq20.gif"/></alternatives></inline-formula><sup><xref ref-type="bibr" rid="CR42">42</xref></sup> (Eq. <xref ref-type="supplementary-material" rid="MOESM1">9, Supplementary Information</xref>). Strikingly, the salt-dependent increase of the apparent concentration [<inline-formula id="IEq21"><alternatives><mml:math><mml:mi>A</mml:mi></mml:math><tex-math id="IEq21_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$A$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq21.gif"/></alternatives></inline-formula>], as modeled by this approach, reproduces the observed curvature of the closing rate <inline-formula id="IEq22"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">close</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi mathvariant="normal">NaCl</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math><tex-math id="IEq22_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${k}_{{{{{{\rm{close}}}}}}}([{{{{{\rm{NaCl}}}}}}])$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq22.gif"/></alternatives></inline-formula>, as shown in Fig. <xref rid="Fig2" ref-type="fig">2f</xref> (curved red line). We find an apparent closing rate of <inline-formula id="IEq23"><alternatives><mml:math><mml:msubsup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">close</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>0.305</mml:mn><mml:mo>±</mml:mo><mml:mn>0.007</mml:mn></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.25em"/><mml:msup><mml:mrow><mml:mi mathvariant="normal">s</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.25em"/><mml:msup><mml:mrow><mml:mi mathvariant="normal">M</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math><tex-math id="IEq23_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${k}_{{{{{{{\rm{close}}}}}}}}^{{\prime} }=\left(0.305\pm 0.007\right)\times {10}^{6}\,{{{{{{\rm{s}}}}}}}^{-1}\,{{{{{{\rm{M}}}}}}}^{-1}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq23.gif"/></alternatives></inline-formula>, which is in good agreement with earlier reports<sup><xref ref-type="bibr" rid="CR42">42</xref></sup>. Furthermore, from the lower and upper limit of the persistence length of the loop (<inline-formula id="IEq24"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">p</mml:mi></mml:mrow></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mn>0.75</mml:mn><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">nm</mml:mi></mml:math><tex-math id="IEq24_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${l}_{{{{{{\rm{p}}}}}}}\left(\infty \right)=0.75\,{{{{{\rm{nm}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq24.gif"/></alternatives></inline-formula> and <inline-formula id="IEq25"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">p</mml:mi></mml:mrow></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mn>2.09</mml:mn><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">nm</mml:mi></mml:math><tex-math id="IEq25_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${l}_{{{{{{\rm{p}}}}}}}\left(0\right)=2.09\,{{{{{\rm{nm}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq25.gif"/></alternatives></inline-formula> at infinite and zero concentration of NaCl, respectively) a lower and upper boundary of the hpT<sub>5</sub> closing rate can be predicted as <inline-formula id="IEq26"><alternatives><mml:math><mml:mn>0.022</mml:mn><mml:mspace width="0.25em"/><mml:msup><mml:mrow><mml:mi mathvariant="normal">ms</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.25em"/><mml:mo>&lt;</mml:mo><mml:mspace width="0.25em"/><mml:msub><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">close</mml:mi></mml:mrow></mml:msub><mml:mspace width="0.25em"/><mml:mo>&lt;</mml:mo><mml:mspace width="0.25em"/><mml:mn>1.02</mml:mn><mml:mspace width="0.25em"/><mml:msup><mml:mrow><mml:mi mathvariant="normal">ms</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math><tex-math id="IEq26_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$0.022\,{{{{{{\rm{ms}}}}}}}^{-1}\, &lt; \,{k}_{{{{{{\rm{close}}}}}}}\, &lt; \,1.02\,{{{{{{\rm{ms}}}}}}}^{-1}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq26.gif"/></alternatives></inline-formula>. Taken together, our multiwell plate experiment on the DNA hairpin yielded detailed insights into the molecular kinetics of this dynamic nucleic-acid system, which would be challenging to extract in independent single-well measurements. Especially the curvature in the low-salt regime could be easily missed at reduced sampling density. In fact, we estimate, with bootstrapping, that the variability (i.e., accuracy) of opening rates decreases with the number of probed conditions. We found that the standard deviation drops from <inline-formula id="IEq27"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>σ</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.154</mml:mn><mml:mspace width="0.25em"/><mml:msup><mml:mrow><mml:mi mathvariant="normal">ms</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math><tex-math id="IEq27_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${\sigma }_{5}=0.154\,{{{{{{\rm{ms}}}}}}}^{-1}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq27.gif"/></alternatives></inline-formula> for 5 measured samples to <inline-formula id="IEq28"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>σ</mml:mi></mml:mrow><mml:mrow><mml:mn>70</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.011</mml:mn><mml:mspace width="0.25em"/><mml:msup><mml:mrow><mml:mi mathvariant="normal">ms</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math><tex-math id="IEq28_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${\sigma }_{70}=0.011\,{{{{{{\rm{ms}}}}}}}^{-1}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq28.gif"/></alternatives></inline-formula> for 70 measured samples, demonstrating that a fine-sampled screen with 70 different conditions decreases the standard deviation by 14-fold.</p><p id="Par14">Besides kinetics, many biophysical studies are interested in thermodynamic stabilities of proteins or protein complexes. One possibility to assess thermodynamic stability of proteins is to titrate the protein with a destabilizing chaotropic reagent or a denaturant in small increments and by fitting the data with a transition function (e.g., linear extrapolation method, LEM) to extract the denaturant concentration of half occupancy <inline-formula id="IEq29"><alternatives><mml:math><mml:msub><mml:mrow><mml:mfenced close="]" open="["><mml:mrow><mml:mi mathvariant="normal">GdmCl</mml:mi></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math><tex-math id="IEq29_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${\left[{{{{{\rm{GdmCl}}}}}}\right]}_{1/2}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq29.gif"/></alternatives></inline-formula>, the transition slope <inline-formula id="IEq30"><alternatives><mml:math><mml:mi>m</mml:mi></mml:math><tex-math id="IEq30_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$m$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq30.gif"/></alternatives></inline-formula>, and the change in free Gibbs energy between the folded and unfolded conformation at zero denaturant concentration <inline-formula id="IEq31"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>m</mml:mi><mml:mo>⋅</mml:mo><mml:msub><mml:mrow><mml:mfenced close="]" open="["><mml:mrow><mml:mi mathvariant="normal">GdmCl</mml:mi></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math><tex-math id="IEq31_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${\Delta G}_{{{{{{\rm{H}}}}}}_2{{{{{\rm{O}}}}}}}=m\cdot {\left[{{{{{\rm{GdmCl}}}}}}\right]}_{1/2}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq31.gif"/></alternatives></inline-formula><sup><xref ref-type="bibr" rid="CR43">43</xref>–<xref ref-type="bibr" rid="CR45">45</xref></sup>. Such measurements benefit from a high sampling density to avoid overparameterization and to increase fitting accuracy and precision.</p><p id="Par15">Here, we demonstrate the power of a dense 96-well plate sampling by equilibrium unfolding of the small globular protein S6 with guanidinium chloride (GdmCl). To this extent, we prepared S6 protein site-specifically labeled with a donor and acceptor fluorophore and subjected the protein to increasing GdmCl concentrations in logarithmic steps from 0 M to 6 M, while maintaining the concentration of S6 at ~100 pM. We performed multiwell plate smFRET measurements and probed equilibrium unfolding of S6 in a total of 96 steps by probing each condition for 20 min. We plotted the obtained individual <italic>E</italic>-histograms versus GdmCl concentrations in a 2D histogram (Fig. <xref rid="Fig2" ref-type="fig">2g</xref>). This denaturation map shows a compact folded conformation of S6 at <inline-formula id="IEq32"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mstyle><mml:mtext>F</mml:mtext></mml:mstyle></mml:mrow></mml:msub></mml:math><tex-math id="IEq32_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${E}_{{{\mbox{F}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq32.gif"/></alternatives></inline-formula> ≈ 0.9 at low GdmCl concentrations and the denaturant-induced unfolding of the protein into an expanded conformation at <inline-formula id="IEq33"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mstyle><mml:mtext>U</mml:mtext></mml:mstyle></mml:mrow></mml:msub></mml:math><tex-math id="IEq33_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${E}_{{{\mbox{U}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq33.gif"/></alternatives></inline-formula> ≈ 0.2 beyond 2.5 M GdmCl. Unlike in the case of the DNA hairpin, we did not observe an intermediate FRET population, indicating that S6 does not show millisecond transition kinetics, in agreement with earlier reports<sup><xref ref-type="bibr" rid="CR46">46</xref>,<xref ref-type="bibr" rid="CR47">47</xref></sup>. Fitting each individual FRET efficiency histogram with a double Gaussian function (2-G) (Fig. <xref rid="Fig2" ref-type="fig">2h</xref>), we extracted the average FRET efficiencies as well as the fraction of unfolded molecules at increasing GdmCl concentrations (Fig. <xref rid="Fig2" ref-type="fig">2i</xref>). We extracted a transition midpoint of <inline-formula id="IEq34"><alternatives><mml:math><mml:msub><mml:mrow><mml:mfenced close="]" open="["><mml:mrow><mml:mi mathvariant="normal">GdmCl</mml:mi></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>3.16</mml:mn><mml:mo>±</mml:mo><mml:mn>0.01</mml:mn></mml:mrow></mml:mfenced><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">M</mml:mi></mml:math><tex-math id="IEq34_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${\left[{{{{{\rm{GdmCl}}}}}}\right]}_{1/2}=\left(3.16\pm 0.01\right)\,{{{{{\rm{M}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq34.gif"/></alternatives></inline-formula> and a change in Gibbs free energy of <inline-formula id="IEq35"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>26.7</mml:mn><mml:mo>±</mml:mo><mml:mn>0.7</mml:mn></mml:mrow></mml:mfenced><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">kJ</mml:mi><mml:mspace width="0.25em"/><mml:msup><mml:mrow><mml:mi mathvariant="normal">mol</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math><tex-math id="IEq35_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${\Delta G}_{{{{{{\rm{H}}}}}}_2{{{{{\rm{O}}}}}}}=\left(26.7\pm 0.7\right)\,{{{{{\rm{kJ}}}}}}\,{{{{{{\rm{mol}}}}}}}^{-1}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq35.gif"/></alternatives></inline-formula>, in good agreement with earlier reports<sup><xref ref-type="bibr" rid="CR47">47</xref></sup>. Interestingly, the obtained transition slope of <italic>m</italic> = (8.5 ± 0.2) kJ mol<sup>−1</sup> M<sup>−1</sup> is slightly higher than the reported value of <inline-formula id="IEq36"><alternatives><mml:math><mml:mfenced close=")" open="("><mml:mrow><mml:mn>4.0</mml:mn><mml:mo>±</mml:mo><mml:mn>0.4</mml:mn></mml:mrow></mml:mfenced><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">kJ</mml:mi><mml:mspace width="0.25em"/><mml:msup><mml:mrow><mml:mi mathvariant="normal">mol</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi mathvariant="normal">M</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math><tex-math id="IEq36_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\left(4.0\pm 0.4\right){{{\,{{\rm{kJ}}}}}}\,{{{{{{\rm{mol}}}}}}}^{-1}{{{{{{\rm{M}}}}}}}^{-1}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq36.gif"/></alternatives></inline-formula>, likely originating from the higher pH used in our study (pH 8) as compared to previous studies (pH 6.25)<sup><xref ref-type="bibr" rid="CR47">47</xref>,<xref ref-type="bibr" rid="CR48">48</xref></sup>. Noteworthy, the high sampling density decreased the standard deviation of the midpoint, <italic>m</italic>-value and thermodynamic stability by 2- to 4-fold (Supplementary Fig. <xref ref-type="supplementary-material" rid="MOESM1">6D</xref>).</p><p id="Par16">In addition to stability, smFRET can also provide structural insights into polypeptide chain properties such as the radius of gyration of the Θ-state (ideal chain), where interactions with the solvent compensate the effect of the excluded volume and the polymer transitions from a globular to a coiled conformation<sup><xref ref-type="bibr" rid="CR49">49</xref></sup>. To demonstrate this on the smFRET data retrieved from S6 unfolding, we extracted the radius of gyration (Supplementary Fig. <xref ref-type="supplementary-material" rid="MOESM1">6E</xref>) of the unfolded peptide chain of S6 by fitting the Sanchez model to the mean FRET efficiencies of the unfolded state<sup><xref ref-type="bibr" rid="CR49">49</xref></sup>. At a scaling exponent of <inline-formula id="IEq37"><alternatives><mml:math><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math><tex-math id="IEq37_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${\nu }=1/2$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq37.gif"/></alternatives></inline-formula> (Supplementary Fig. <xref ref-type="supplementary-material" rid="MOESM1">6F</xref>), we found the radius of gyration of the Θ-state to be <inline-formula id="IEq38"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">G</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">Θ</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>2.38</mml:mn><mml:mo>±</mml:mo><mml:mn>0.17</mml:mn></mml:mrow></mml:mfenced><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">nm</mml:mi></mml:math><tex-math id="IEq38_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${R}_{{{{{{\rm{G}}}}}},\Theta }=\left(2.38\pm 0.17\right)\,{{{{{\rm{nm}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq38.gif"/></alternatives></inline-formula>, remarkably close to the theoretical prediction of 2.21 nm (<xref ref-type="supplementary-material" rid="MOESM1">Supplementary Methods</xref>). Interestingly, the compaction factor <inline-formula id="IEq39"><alternatives><mml:math><mml:mi>α</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">G</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">G</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">Θ</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq39_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\alpha={R}_{{{{{{\rm{G}}}}}}}/{R}_{{{{{{\rm{G}}}}}},\Theta }$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq39.gif"/></alternatives></inline-formula> (Supplementary Fig. <xref ref-type="supplementary-material" rid="MOESM1">6G</xref>) of our structural analysis reveals an early coil-to-globule transition of S6 at a GdmCl activity below the actual folding transition at <inline-formula id="IEq40"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">GdmCl</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1.73</mml:mn></mml:math><tex-math id="IEq40_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${a}_{{{{{{\rm{GdmCl}}}}}}}=1.73$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq40.gif"/></alternatives></inline-formula>, as also observed for the cold shock protein CspTm and spectrin domain R17<sup><xref ref-type="bibr" rid="CR49">49</xref></sup>.</p><p id="Par17">Taken together, our automated multiwell plate smFRET platform allowed us to explore kinetic and thermodynamic parameters governing biomolecular folding in smFRET experiments at very high resolution. The consistency between the kinetic rates and thermodynamic stability of the DNA hairpin and the protein S6 with previous reports demonstrate the reliability of the multiwell plate approach. Moreover, we have discovered insights into biomolecular folding mechanisms including the non-linear closing dynamics of the DNA hairpin at low salt concentrations and the early coil-to-globule transition of the protein S6. Given the breadth and depth of information that can be gained from a single multiwell plate smFRET measurement, we anticipate that the acquisition of high-content smFRET datasets using this format will open new possibilities for discovery in biomolecular folding and dynamic structural biology.</p></sec><sec id="Sec5"><title>Observing binding modes of multiple proteins to a single substrate by multiwell plate smFRET</title><p id="Par18">The previous examples demonstrated the ability of our platform to precisely sample changes of molecular conformations and kinetics upon altering solution conditions. Another opportunity by a multiwell plate smFRET assay is to explore target binding modes of multiple, competing reaction partners. A prominent example is the competitive DNA binding of the single-stranded DNA binding protein SSB and the DNA strand-exchange protein RecA. Both proteins readily bind to single-stranded DNA (ssDNA), however, their interaction mode is different. SSB occludes 35- or 65-nt-long stretches on ssDNA and dissolves DNA secondary structures<sup><xref ref-type="bibr" rid="CR50">50</xref></sup>. RecA, by contrast, is known to form a filament on ssDNA with a 3-nt footprint, and is a key player in homologous recombination<sup><xref ref-type="bibr" rid="CR51">51</xref></sup>. Single-molecule experiments have discovered already a direct interaction and competition of RecA and SSB, with RecA nucleation being facilitated by SSB, likely by RecA–SSB complexes<sup><xref ref-type="bibr" rid="CR52">52</xref>–<xref ref-type="bibr" rid="CR54">54</xref></sup>. However, this intricate interactive behavior and likely multiple pathways of binding make it difficult to explore the full parameter space of affinities and nucleation by sets of single-well measurements. The multiwell plate format offers the possibility to apply concentration gradients of two molecules against each other (Fig. <xref rid="Fig3" ref-type="fig">3a</xref>), making it easier to identify competitive and cooperative effects as well as to pinpoint a reaction scheme and to extract dissociation constants. To demonstrate this capability, we performed multiwell plate smFRET measurements of SSB and RecA and studied interactive binding of both proteins to ssDNA.<fig id="Fig3"><label>Fig. 3</label><caption xml:lang="en"><title>Observing binding modes of multiple proteins to a single substrate by multiwell plate smFRET.</title><p><bold>a</bold> Competitive binding of RecA and SSB to ssDNA probed in a 96-well plate measurement by a combined variation of the concentration of SSB (0 to 50 nM) and RecA (0 to 2.6 µM) using the DNA construct dT<sub>70</sub> as a substrate. <bold>b</bold><italic>E</italic><sub>FRET</sub> histograms of dT<sub>70</sub> in absence of proteins, presence of SSB at low and high concentration and RecA. The construct allows to identify unique <italic>E</italic><sub>FRET</sub> for unbound DNA, SSB<sub>65</sub> and SSB<sub>35</sub> binding modes, as well as a RecA filament on ssDNA. <bold>c</bold> Speciation curves as obtained from a multiwell plate smFRET experiment of dT<sub>70</sub> subjected to increasing concentration of SSB ranging from 0 to 4 µM. Data are presented as predicted value +/−68% CI as derived by the Gaussian fit. <bold>d</bold> 2-D <italic>E</italic><sub>FRET</sub> histogram of the competitive binding of RecA and SSB to dT<sub>70</sub> as obtained from a 96-well plate smFRET measurement. Bars and wedges on the left side depict RecA and SSB concentrations, respectively. Increasing RecA concentrations shift the transition to the SSB<sub>65</sub> binding to higher concentrations of SSB. <bold>e</bold> Fraction of molecules with FRET efficiency <inline-formula id="IEq41"><alternatives><mml:math><mml:mi>E</mml:mi></mml:math><tex-math id="IEq41_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$E$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq41.gif"/></alternatives></inline-formula> &gt; 0.4 versus [SSB] for increasing RecA concentrations. Fractions were fitted with an optimized 6-state equilibrium model (blue lines). Data are presented as mean +/− SD. The SD is derived from the counting uncertainty by simple error propagation. <bold>f</bold> 6-state model used to describe competitive binding of SSB and RecA to dT<sub>70</sub>. T: empty dT<sub>70</sub>; TS<sub>m</sub>: SSB on dT<sub>70</sub> in SSB<sub>65</sub> binding mode; TS<sub>m+n</sub>: SSB on dT<sub>70</sub> in SSB<sub>35</sub> binding mode; TR<sub>p</sub>: RecA filament on dT<sub>70</sub>; TR<sub>q</sub>S<sub>m</sub>: mixed state of SSB<sub>65</sub> and RecA on dT<sub>70</sub>; and TR<sub>r</sub>S<sub>m+n</sub>: mixed state of SSB<sub>35</sub> and RecA on dT<sub>70</sub>. The values <inline-formula id="IEq42"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq42_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${K}_{{{{{{\rm{S}}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq42.gif"/></alternatives></inline-formula>, <inline-formula id="IEq43"><alternatives><mml:math><mml:msubsup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup></mml:math><tex-math id="IEq43_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${K}_{{{{{{\rm{S}}}}}}}^{*}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq43.gif"/></alternatives></inline-formula>, <inline-formula id="IEq44"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq44_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${K}_{{{{{{\rm{R}}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq44.gif"/></alternatives></inline-formula>, <inline-formula id="IEq45"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>α</mml:mi><mml:mo>⋅</mml:mo><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq45_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${\alpha \cdot K}_{{{{{{\rm{R}}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq45.gif"/></alternatives></inline-formula>, <inline-formula id="IEq46"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>α</mml:mi><mml:mo>⋅</mml:mo><mml:mi>β</mml:mi><mml:mo>⋅</mml:mo><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq46_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${\alpha \cdot \beta \cdot K}_{{{{{{\rm{R}}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq46.gif"/></alternatives></inline-formula>, <inline-formula id="IEq47"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>α</mml:mi><mml:mo>⋅</mml:mo><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq47_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${\alpha \cdot K}_{{{{{{\rm{S}}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq47.gif"/></alternatives></inline-formula>, <inline-formula id="IEq48"><alternatives><mml:math><mml:mi>β</mml:mi><mml:mo>⋅</mml:mo><mml:msubsup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup></mml:math><tex-math id="IEq48_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\beta \cdot {K}_{{{{{{\rm{S}}}}}}}^{*}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq48.gif"/></alternatives></inline-formula> denote the apparent dissociation constants with the corresponding Hill coefficients <inline-formula id="IEq49"><alternatives><mml:math><mml:mi>m</mml:mi></mml:math><tex-math id="IEq49_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$m$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq49.gif"/></alternatives></inline-formula>, <inline-formula id="IEq50"><alternatives><mml:math><mml:mi>n</mml:mi></mml:math><tex-math id="IEq50_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$n$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq50.gif"/></alternatives></inline-formula>, <inline-formula id="IEq51"><alternatives><mml:math><mml:mi>p</mml:mi></mml:math><tex-math id="IEq51_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$p$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq51.gif"/></alternatives></inline-formula>, <inline-formula id="IEq52"><alternatives><mml:math><mml:mi>q</mml:mi></mml:math><tex-math id="IEq52_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$q$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq52.gif"/></alternatives></inline-formula>, and <inline-formula id="IEq53"><alternatives><mml:math><mml:mi>r</mml:mi></mml:math><tex-math id="IEq53_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$r$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq53.gif"/></alternatives></inline-formula>. The RecA concentrations at half occupation (<inline-formula id="IEq54"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">i</mml:mi><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mroot><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:mroot></mml:math><tex-math id="IEq54_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${C}_{{{{{{\rm{i}}}}}},1/2}=\root i \of {K}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq54.gif"/></alternatives></inline-formula>) was extracted from the fit in panel E (blue lines). Values are given in the main text. Source data are provided as a Source data file.</p></caption><p><graphic specific-use="HTML" mime-subtype="PNG" xlink:href="MediaObjects/41467_2023_42232_Fig3_HTML.png"/></p></fig></p><p id="Par19">We designed a DNA construct with an 18-bp double-stranded DNA region carrying an acceptor fluorophore and a 70-nt long thymidine (dT<sub>70</sub>) ssDNA overhang on the 3’-end terminated by a donor fluorophore (Fig. <xref rid="Fig3" ref-type="fig">3b</xref> inset, Supplementary Table <xref ref-type="supplementary-material" rid="MOESM1">4</xref>). The proximity of the donor and acceptor fluorophores allows monitoring the compaction of the dT<sub>70</sub> overhang upon binding of SSB or RecA (Fig. <xref rid="Fig3" ref-type="fig">3b</xref>). In absence of any protein, the ssDNA exhibits a low FRET efficiency (<inline-formula id="IEq55"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">dT</mml:mi><mml:mn>70</mml:mn></mml:mrow></mml:msub><mml:mo>≈</mml:mo><mml:mn>0.05</mml:mn></mml:math><tex-math id="IEq55_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${E}_{{{{{{\rm{dT}}}}}}70}\approx 0.05$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq55.gif"/></alternatives></inline-formula>) as the DNA is only weakly collapsed. In the presence of low concentrations of SSB (e.g., 1 nM), SSB binds to the ssDNA in the SSB<sub>65</sub> binding mode, where 65 nts are occluded by SSB, leading to a FRET efficiency of <inline-formula id="IEq56"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mn>65</mml:mn></mml:mrow></mml:msub><mml:mo>≈</mml:mo><mml:mn>0.8</mml:mn></mml:math><tex-math id="IEq56_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${E}_{65}\approx 0.8$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq56.gif"/></alternatives></inline-formula> (Fig. <xref rid="Fig3" ref-type="fig">3b</xref>). With increasing SSB concentrations (&gt;50 nM), the SSB<sub>65</sub> binding mode transitions into the SSB<sub>35</sub> binding mode, incorporating two tetramers of SSB (Fig. <xref rid="Fig3" ref-type="fig">3b</xref>) and, hence, leading to a more expanded dT<sub>70</sub> conformation with a FRET efficiency <inline-formula id="IEq57"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mn>35</mml:mn></mml:mrow></mml:msub><mml:mo>≈</mml:mo><mml:mn>0.2</mml:mn></mml:math><tex-math id="IEq57_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${E}_{35}\approx 0.2$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq57.gif"/></alternatives></inline-formula>. RecA, in presence of ATP, forms a nucleoprotein filament, thereby stretching ssDNA. Hence, binding of RecA to dT<sub>70</sub> results in its elongation beyond the dynamic range of FRET, yielding a narrow distribution of FRET efficiencies of <inline-formula id="IEq58"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">RecA</mml:mi></mml:mrow></mml:msub><mml:mo>≈</mml:mo><mml:mn>0</mml:mn></mml:math><tex-math id="IEq58_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${E}_{{{{{{\rm{RecA}}}}}}}\approx 0$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq58.gif"/></alternatives></inline-formula>. Notably, the signature of RecA binding is clearly distinguishable from the two major binding modes of SSB (Fig. <xref rid="Fig3" ref-type="fig">3b</xref>)<sup><xref ref-type="bibr" rid="CR55">55</xref></sup>. In summary, the high FRET contrast of the three states, SSB<sub>65</sub>, SSB<sub>35</sub>, and RecA filament, allows shedding light on the interactive behavior of both proteins in the presence of ssDNA.</p><p id="Par20">In a first experiment, we studied SSB binding to ssDNA alone. To this end, we performed a multiwell plate measurement of dT<sub>70</sub> (~100 pM) subjected to increasing SSB concentration ranging from 0 to 4 µM (Supplementary Fig. <xref ref-type="supplementary-material" rid="MOESM1">7</xref>). We determined the fractions of molecules in the dT<sub>70</sub> (rectangle), SSB<sub>65</sub> (circle) and SSB<sub>35</sub> (triangle) state as a function of SSB concentration (Fig. <xref rid="Fig3" ref-type="fig">3c</xref>). The fractions were then modeled by Eq. 15 (<xref ref-type="supplementary-material" rid="MOESM1">Supplementary Information</xref>) to derive the concentrations at half occupancy of <inline-formula id="IEq59"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>278</mml:mn><mml:mo>±</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfenced><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">pM</mml:mi></mml:math><tex-math id="IEq59_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${c}_{{{{{{\rm{S}}}}}},1/2}=\left(278\pm 1\right)\,{{{{{\rm{pM}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq59.gif"/></alternatives></inline-formula> and <inline-formula id="IEq60"><alternatives><mml:math><mml:msubsup><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>480</mml:mn><mml:mo>±</mml:mo><mml:mn>17</mml:mn></mml:mrow></mml:mfenced><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">nM</mml:mi></mml:math><tex-math id="IEq60_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${c}_{{{{{{\rm{S}}}}}},1/2}^{*}=\left(480\pm 17\right)\,{{{{{\rm{nM}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq60.gif"/></alternatives></inline-formula> and the corresponding Hill coefficients of <inline-formula id="IEq61"><alternatives><mml:math><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>2.12</mml:mn><mml:mo>±</mml:mo><mml:mn>0.07</mml:mn></mml:mrow></mml:mfenced></mml:math><tex-math id="IEq61_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$m=\left(2.12\pm 0.07\right)$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq61.gif"/></alternatives></inline-formula> and <inline-formula id="IEq62"><alternatives><mml:math><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>1.19</mml:mn><mml:mo>±</mml:mo><mml:mn>0.04</mml:mn></mml:mrow></mml:mfenced></mml:math><tex-math id="IEq62_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$n=\left(1.19\pm 0.04\right)$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq62.gif"/></alternatives></inline-formula> for the SSB<sub>65</sub> and SSB<sub>35</sub> binding mode, respectively. The rapid continuous mapping across different concentrations agrees well with the simple binding theory (Eq. 15) and earlier reports<sup><xref ref-type="bibr" rid="CR50">50</xref>,<xref ref-type="bibr" rid="CR52">52</xref>,<xref ref-type="bibr" rid="CR56">56</xref></sup>.</p><p id="Par21">Subsequently, we performed a multiwell plate measurement of dT<sub>70</sub> with 96 different combinations of <inline-formula id="IEq63"><alternatives><mml:math><mml:mfenced close="]" open="["><mml:mrow><mml:mi mathvariant="normal">RecA</mml:mi></mml:mrow></mml:mfenced></mml:math><tex-math id="IEq63_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\left[{{{{{\rm{RecA}}}}}}\right]$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq63.gif"/></alternatives></inline-formula> and <inline-formula id="IEq64"><alternatives><mml:math><mml:mfenced close="]" open="["><mml:mrow><mml:mi mathvariant="normal">SSB</mml:mi></mml:mrow></mml:mfenced></mml:math><tex-math id="IEq64_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$\left[{{{{{\rm{SSB}}}}}}\right]$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq64.gif"/></alternatives></inline-formula> to study the competition between RecA filament formation and SSB<sub>65</sub> binding. To this end, we varied the SSB concentration in 12 steps from 0 to 50 nM along the columns of the plate and the RecA concentration in 8 steps from 0 to 2.6 µM along the rows of the plate (Fig. <xref rid="Fig3" ref-type="fig">3a</xref>). In the measurements without RecA (top row, Fig. <xref rid="Fig3" ref-type="fig">3d</xref>), the transition from the broad dT<sub>70</sub> state (<inline-formula id="IEq65"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">dT</mml:mi><mml:mn>70</mml:mn></mml:mrow></mml:msub><mml:mo>≈</mml:mo><mml:mn>0.05</mml:mn></mml:math><tex-math id="IEq65_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${E}_{{{{{{\rm{dT}}}}}}70}\approx 0.05$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq65.gif"/></alternatives></inline-formula>) to the SSB<sub>65</sub> binding mode (<inline-formula id="IEq66"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mn>65</mml:mn></mml:mrow></mml:msub><mml:mo>≈</mml:mo><mml:mn>0.8</mml:mn></mml:math><tex-math id="IEq66_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${E}_{65}\approx 0.8$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq66.gif"/></alternatives></inline-formula>) appears at a low concentration between 0.2 and 0.35 nM agreeing well with our previously determined <inline-formula id="IEq67"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.28</mml:mn></mml:math><tex-math id="IEq67_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${c}_{{{{{{\rm{S}}}}}},1/2}=0.28$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq67.gif"/></alternatives></inline-formula> nM, and the independent observation of the change in fluorescence anisotropy of the acceptor (Supplementary Fig. <xref ref-type="supplementary-material" rid="MOESM1">8C</xref>). With increasing RecA concentrations, the occupation of SSB<sub>65</sub> shifted to higher SSB concentrations. At the same time, the RecA population at <inline-formula id="IEq68"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">RecA</mml:mi></mml:mrow></mml:msub><mml:mo>≈</mml:mo><mml:mn>0</mml:mn></mml:math><tex-math id="IEq68_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
				\usepackage{wasysym}
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				\begin{document}$${E}_{{{{{{\rm{RecA}}}}}}}\approx 0$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq68.gif"/></alternatives></inline-formula> became more abundant, reflecting a modulation of the apparent dissociation constant of SSB by competitive binding of RecA. Interestingly, at high RecA concentrations (<inline-formula id="IEq69"><alternatives><mml:math><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi mathvariant="normal">RecA</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>−</mml:mo><mml:mn>2.6</mml:mn><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">μ</mml:mi><mml:mi mathvariant="normal">M</mml:mi></mml:math><tex-math id="IEq69_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
				\usepackage{wasysym}
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				\begin{document}$$[{{{{{\rm{RecA}}}}}}]=2-2.6\,{{\upmu {{{{{\rm{M}}}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq69.gif"/></alternatives></inline-formula>) a shift of the high FRET population to lower FRET efficiencies is observed, which suggests an unknown state of combined RecA and SSB binding.</p><p id="Par22">For a quantitative analysis of the interactive binding of SSB and RecA to ssDNA, we extracted the fractions of DNA molecules bound in the SSB<sub>65</sub> mode <inline-formula id="IEq70"><alternatives><mml:math><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>E</mml:mi><mml:mspace width="0.25em"/><mml:mo>&gt;</mml:mo><mml:mspace width="0.25em"/><mml:mn>0.4</mml:mn></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math><tex-math id="IEq70_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$f(E \, &gt; \,0.4)$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq70.gif"/></alternatives></inline-formula> from the 2D histogram (Fig. <xref rid="Fig3" ref-type="fig">3e</xref>). As qualitatively observed, at higher RecA concentrations, the transition to the SSB binding mode occurred at higher SSB concentrations. Surprisingly, we observed a drop of the maximal fraction of SSB<sub>65</sub> at <inline-formula id="IEq71"><alternatives><mml:math><mml:mfenced close="]" open="["><mml:mrow><mml:mi mathvariant="normal">RecA</mml:mi></mml:mrow></mml:mfenced><mml:mo>&gt;</mml:mo><mml:mn>0.5</mml:mn><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">μ</mml:mi><mml:mi mathvariant="normal">M</mml:mi></mml:math><tex-math id="IEq71_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$\left[{{{{{\rm{RecA}}}}}}\right] &gt; 0.5\,{{\upmu {{{{{\rm{M}}}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq71.gif"/></alternatives></inline-formula> and <inline-formula id="IEq72"><alternatives><mml:math><mml:mfenced close="]" open="["><mml:mrow><mml:mi mathvariant="normal">SSB</mml:mi></mml:mrow></mml:mfenced><mml:mo>&gt;</mml:mo><mml:mn>10</mml:mn><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">nM</mml:mi></mml:math><tex-math id="IEq72_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$\left[{{{{{\rm{SSB}}}}}}\right] &gt; 10\,{{{{{\rm{nM}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq72.gif"/></alternatives></inline-formula>. The depopulation of the SSB<sub>65</sub> state at elevated <inline-formula id="IEq73"><alternatives><mml:math><mml:mfenced close="]" open="["><mml:mrow><mml:mi mathvariant="normal">RecA</mml:mi></mml:mrow></mml:mfenced></mml:math><tex-math id="IEq73_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$\left[{{{{{\rm{RecA}}}}}}\right]$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq73.gif"/></alternatives></inline-formula> supports the presence of mixed RecA–SSB states. Considering the two SSB binding modes and the presence of a RecA-filament, we build a 6-state model (Fig. <xref rid="Fig3" ref-type="fig">3f</xref>), which contains the known dT<sub>70</sub> (T), RecA filament (TR<sub>p</sub>), SSB<sub>65</sub> (TS<sub>m</sub>) and SSB<sub>35</sub> (TS<sub>m+n</sub>) states, as well as the two mixed states of RecA-SSB (TR<sub>q</sub>S<sub>m</sub>) and RecA-2xSSB (TR<sub>r</sub>S<sub>m+n</sub>). Here, the values <inline-formula id="IEq74"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq74_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${K}_{{{{{{\rm{S}}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq74.gif"/></alternatives></inline-formula>, <inline-formula id="IEq75"><alternatives><mml:math><mml:msubsup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup></mml:math><tex-math id="IEq75_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${K}_{{{{{{\rm{S}}}}}}}^{*}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq75.gif"/></alternatives></inline-formula>, <inline-formula id="IEq76"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq76_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${K}_{{{{{{\rm{R}}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq76.gif"/></alternatives></inline-formula>, <inline-formula id="IEq77"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>α</mml:mi><mml:mo>⋅</mml:mo><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq77_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${\alpha \cdot K}_{{{{{{\rm{R}}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq77.gif"/></alternatives></inline-formula>, <inline-formula id="IEq78"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>α</mml:mi><mml:mo>⋅</mml:mo><mml:mi>β</mml:mi><mml:mo>⋅</mml:mo><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">R</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq78_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${\alpha \cdot \beta \cdot K}_{{{{{{\rm{R}}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq78.gif"/></alternatives></inline-formula>, <inline-formula id="IEq79"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>α</mml:mi><mml:mo>⋅</mml:mo><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi></mml:mrow></mml:msub></mml:math><tex-math id="IEq79_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${\alpha \cdot K}_{{{{{{\rm{S}}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq79.gif"/></alternatives></inline-formula>, <inline-formula id="IEq80"><alternatives><mml:math><mml:mi>β</mml:mi><mml:mo>⋅</mml:mo><mml:msubsup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup></mml:math><tex-math id="IEq80_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$\beta \cdot {K}_{{{{{{\rm{S}}}}}}}^{*}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq80.gif"/></alternatives></inline-formula> denote the respective dissociation constants with the corresponding Hill coefficients <inline-formula id="IEq81"><alternatives><mml:math><mml:mi>m</mml:mi></mml:math><tex-math id="IEq81_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$m$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq81.gif"/></alternatives></inline-formula>, <inline-formula id="IEq82"><alternatives><mml:math><mml:mi>n</mml:mi></mml:math><tex-math id="IEq82_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$n$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq82.gif"/></alternatives></inline-formula>, <inline-formula id="IEq83"><alternatives><mml:math><mml:mi>p</mml:mi></mml:math><tex-math id="IEq83_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$p$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq83.gif"/></alternatives></inline-formula>, <inline-formula id="IEq84"><alternatives><mml:math><mml:mi>q</mml:mi></mml:math><tex-math id="IEq84_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$q$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq84.gif"/></alternatives></inline-formula>, and <inline-formula id="IEq85"><alternatives><mml:math><mml:mi>r</mml:mi></mml:math><tex-math id="IEq85_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$r$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq85.gif"/></alternatives></inline-formula>. The 6-state reaction scheme allowed us to model the fractions of molecules with <inline-formula id="IEq86"><alternatives><mml:math><mml:mi>E</mml:mi><mml:mspace width="0.25em"/><mml:mo>&gt;</mml:mo><mml:mspace width="0.25em"/><mml:mn>0.4</mml:mn></mml:math><tex-math id="IEq86_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$E \, &gt; \, 0.4$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq86.gif"/></alternatives></inline-formula> (Fig. <xref rid="Fig3" ref-type="fig">3e</xref>). Since it was unclear where the states TR<sub>q</sub>S<sub>m</sub> and TR<sub>r</sub>S<sub>m+n</sub> appear on the FRET axis, and thus what states contributed to <inline-formula id="IEq87"><alternatives><mml:math><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>E</mml:mi><mml:mspace width="0.25em"/><mml:mo>&gt;</mml:mo><mml:mspace width="0.25em"/><mml:mn>0.4</mml:mn></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math><tex-math id="IEq87_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$f(E \, &gt; \, 0.4)$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq87.gif"/></alternatives></inline-formula>, we performed 75 different fittings with varying state and probability configurations using Eq. 16 (<xref ref-type="supplementary-material" rid="MOESM1">Supplementary Information</xref>) and the previously determined values <inline-formula id="IEq88"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math><tex-math id="IEq88_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${c}_{{{{{{\rm{S}}}}}},1/2}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq88.gif"/></alternatives></inline-formula>, <inline-formula id="IEq89"><alternatives><mml:math><mml:msubsup><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">S</mml:mi><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup></mml:math><tex-math id="IEq89_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${c}_{{{{{{\rm{S}}}}}},1/2}^{*}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq89.gif"/></alternatives></inline-formula>, <inline-formula id="IEq90"><alternatives><mml:math><mml:mi>m</mml:mi></mml:math><tex-math id="IEq90_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$m$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq90.gif"/></alternatives></inline-formula> and <inline-formula id="IEq91"><alternatives><mml:math><mml:mi>n</mml:mi></mml:math><tex-math id="IEq91_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$n$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq91.gif"/></alternatives></inline-formula>. For each combination of state and probability configurations, the reduced chi-squared <inline-formula id="IEq92"><alternatives><mml:math><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mrow><mml:mi>χ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">r</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math><tex-math id="IEq92_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$({{\chi }}_{{{{{{\rm{r}}}}}}}^{2})$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq92.gif"/></alternatives></inline-formula> was calculated from the residual, taking the number of fitting parameters into account. We found the smallest <inline-formula id="IEq93"><alternatives><mml:math><mml:msubsup><mml:mrow><mml:mi>χ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">r</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:math><tex-math id="IEq93_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${{\chi }}_{{{{{{\rm{r}}}}}}}^{2}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq93.gif"/></alternatives></inline-formula> value (<inline-formula id="IEq94"><alternatives><mml:math><mml:msubsup><mml:mrow><mml:mi>χ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">r</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mn>0.108</mml:mn></mml:math><tex-math id="IEq94_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${{\chi }}_{{{{{{\rm{r}}}}}}}^{2}=0.108$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq94.gif"/></alternatives></inline-formula>) for the full reaction scheme involving all 6 states, where <inline-formula id="IEq95"><alternatives><mml:math><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>E</mml:mi><mml:mspace width="0.25em"/><mml:mo>&gt;</mml:mo><mml:mspace width="0.25em"/><mml:mn>0.4</mml:mn></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math><tex-math id="IEq95_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$f(E \, &gt; \, 0.4)$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq95.gif"/></alternatives></inline-formula> describes the combined fraction of state TS<sub>m</sub> (SSB<sub>65</sub>) and TR<sub>q</sub>S<sub>m</sub> (RecA-SSB) (Supplementary Fig. <xref ref-type="supplementary-material" rid="MOESM1">10</xref>), an SSB–RecA complex. Looking at the formation of a RecA-filament, we find half concentrations of occupancy of <inline-formula id="IEq96"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Rp</mml:mi><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>425</mml:mn><mml:mo>±</mml:mo><mml:mn>91</mml:mn></mml:mrow></mml:mfenced><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">nM</mml:mi></mml:math><tex-math id="IEq96_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${c}_{{{{{{\rm{Rp}}}}}},1/2}=\left(425\pm 91\right)\,{{{{{\rm{nM}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq96.gif"/></alternatives></inline-formula>, and for RecA-SSB formation a value of <inline-formula id="IEq97"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Rq</mml:mi><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>237</mml:mn><mml:mo>±</mml:mo><mml:mn>76</mml:mn></mml:mrow></mml:mfenced><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">nM</mml:mi></mml:math><tex-math id="IEq97_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${c}_{{{{{{\rm{Rq}}}}}},1/2}=\left(237\pm 76\right)\,{{{{{\rm{nM}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq97.gif"/></alternatives></inline-formula>, and for RecA-2xSSB a value of <inline-formula id="IEq98"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Rr</mml:mi><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>278</mml:mn><mml:mo>±</mml:mo><mml:mn>94</mml:mn></mml:mrow></mml:mfenced><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">nM</mml:mi></mml:math><tex-math id="IEq98_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$${c}_{{{{{{\rm{Rr}}}}}},1/2}=\left(278\pm 94\right)\,{{{{{\rm{nM}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq98.gif"/></alternatives></inline-formula> with the corresponding Hill coefficients of <inline-formula id="IEq99"><alternatives><mml:math><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>4.9</mml:mn><mml:mo>±</mml:mo><mml:mn>1.5</mml:mn></mml:mrow></mml:mfenced></mml:math><tex-math id="IEq99_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$p=\left(4.9\pm 1.5\right)$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq99.gif"/></alternatives></inline-formula>, <inline-formula id="IEq100"><alternatives><mml:math><mml:mi>q</mml:mi><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>1.9</mml:mn><mml:mo>±</mml:mo><mml:mn>1.5</mml:mn></mml:mrow></mml:mfenced></mml:math><tex-math id="IEq100_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$q=\left(1.9\pm 1.5\right)$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq100.gif"/></alternatives></inline-formula> and <italic>r</italic><inline-formula id="IEq101"><alternatives><mml:math><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>3.1</mml:mn><mml:mo>±</mml:mo><mml:mn>1.6</mml:mn></mml:mrow></mml:mfenced></mml:math><tex-math id="IEq101_TeX">\documentclass[12pt]{minimal}
				\usepackage{amsmath}
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				\begin{document}$$=\left(3.1\pm 1.6\right)$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq101.gif"/></alternatives></inline-formula>. Hence, our data revealed that RecA affinity is increased 1.8-fold by the presence of a SSB<sub>65</sub>-complexed ssDNA and 1.5-fold by a SSB<sub>35</sub>-complexed DNA. SSB facilitating RecA filament formation was previously observed<sup><xref ref-type="bibr" rid="CR52">52</xref>–<xref ref-type="bibr" rid="CR54">54</xref></sup>, yet, it was impossible to quantify this enhancement.</p><p id="Par23">Taken together, our measurements illustrate the possibility to screen three or more component systems for cooperativity or competition within a single 96-well plate smFRET experiment and, by extension, reveal new, unexpected cooperativity and competition effects.</p></sec><sec id="Sec6"><title>Multiwell plate smFRET screening of drug–protein interactions</title><p id="Par24">smFRET experiments are increasingly employed to study the molecular mechanisms of small-molecule binding to target proteins in a variety of applications, ranging from enzyme–ligand interactions to probing the reversal effect of small molecule corrector compounds on protein misfolding<sup><xref ref-type="bibr" rid="CR57">57</xref>–<xref ref-type="bibr" rid="CR61">61</xref></sup>. However, larger-scale screenings of molecular compounds by smFRET, as used in pharmacological research and drug discovery, have been limited because tools to conduct such time- and labor-intensive measurements are lacking. For example, recently, we used smFRET to study the misfolding and drug rescue mechanism of the cystic fibrosis transmembrane conductance regulator (CFTR), an ion channel protein that is defective in people with cystic fibrosis (pwCF). We used a minimal hairpin model derived from the CFTR transmembrane helices 3 and 4 (TM3/4) carrying a patient-derived mutation and found that misfolding induced by the point-mutation V232D in TM3/4 could be rescued with the drug Lumacaftor<sup><xref ref-type="bibr" rid="CR62">62</xref></sup>. Such experiments required tens of single chamber smFRET measurements with extensive cleaning steps, long equilibration periods, and repeated sample reconstitution for single conditions. Extension of such measurements to larger-scale screenings would benefit massively from an automated multiwell plate format in order to probe multiple small molecules or multiple patient-derived mutations.</p><p id="Par25">Here, we explored such an automation for molecular screening of drug–protein interactions by our multiwell plate smFRET assay. The screen comprised four protein variants and two small molecule compounds. The protein variants consisted of wildtype TM3/4 (WT) and three mutant variants E217G, Q220R, and V232D TM3/4 (Fig. <xref rid="Fig4" ref-type="fig">4a, b</xref> and Supplementary Table <xref ref-type="supplementary-material" rid="MOESM1">4</xref>). All three mutations are CF-phenotypic and known to cause maturation defects and misfolding of CFTR<sup><xref ref-type="bibr" rid="CR63">63</xref>,<xref ref-type="bibr" rid="CR64">64</xref></sup>. The drug molecules were two CFTR interacting correctors, Lumacaftor (VX-809) and Galicaftor (ABBV-2222)<sup><xref ref-type="bibr" rid="CR65">65</xref></sup>. Lumacaftor as well as Galicaftor have been developed to rescue the most common misfolding mutation ΔF508 in CFTR<sup><xref ref-type="bibr" rid="CR66">66</xref>,<xref ref-type="bibr" rid="CR67">67</xref></sup>, but also showed improved maturation of CFTR with V232D<sup><xref ref-type="bibr" rid="CR63">63</xref>,<xref ref-type="bibr" rid="CR68">68</xref></sup>. To read out misfolding and drug rescue of the transmembrane helices, we attached donor and acceptor fluorophores close to the N- and C-termini of our TM3/4 hairpins and reconstituted the TM3/4 hairpins in lipid vesicles (Fig. <xref rid="Fig4" ref-type="fig">4b</xref>). After reconstitution and transfer into a 96-well plate, we read out the degree of misfolding and partial insertion by collecting FRET efficiency histograms in presence of increasing concentrations of corrector compounds (over each row of the 96-well plate). In this context, a high FRET efficiency is related to correct insertion and correct folding, while a lower FRET efficiency indicates partial insertion and misfolding<sup><xref ref-type="bibr" rid="CR62">62</xref></sup>. Hence, we can detect misfolding, and by performing concentration screenings of corrector compounds, we can detect the degree of drug rescue of the hairpin structures by reading out FRET efficiencies and determine an EC<sub>50</sub> of the drug–protein interaction from dose–response curves.<fig id="Fig4"><label>Fig. 4</label><caption xml:lang="en"><title>Multiwell plate smFRET screening of drug–protein interactions.</title><p><bold>a</bold> Titration of reconstituted CFTR TM3/4 hairpins (WT, V232D, E217G, Q220R) with Lumacaftor (VX-809) and Galicaftor (ABBV-2222) over 12 different drug concentrations in a 96-well plate. <bold>b</bold> Schematic of the TM3/4 hairpin structure (PDB ID: 5UAK) in a lipid bilayer. The positions of the transmembrane mutant V232D and of the two loop mutations E217G and Q220R are indicated by colored circles. <bold>c</bold> 2-D <italic>E</italic><sub>FRET</sub> histogram versus drug concentration for WT, V232D, E217G and Q220R TM3/4 in the presence of either Lumacaftor or Galicaftor. The concentration of the drugs was increased in 12 steps from 5 to 1600 µM (gray wedges). <bold>d</bold> Dose–response curves for TM3/4 variants in the presence of Lumacaftor (left panel) or Galicaftor (right panel). Data are presented as predicted value +/−68% CI as derived by the Gaussian fit. Dose–response curves were fitted with a Hill-type function to yield EC<sub>50</sub>values for Lumacaftor and Galicaftor. In the case of Galicaftor, data points above 500 µM were excluded from the fit, due to deviation of the fluorescence lifetime of the donor and acceptor (indicated in gray). Source data are provided as a Source data file.</p></caption><p><graphic specific-use="HTML" mime-subtype="PNG" xlink:href="MediaObjects/41467_2023_42232_Fig4_HTML.png"/></p></fig></p><p id="Par26">Using our multiwell plate assay, we collected FRET efficiency histograms for our four hairpin variants and two corrector molecules (Fig. <xref rid="Fig4" ref-type="fig">4c</xref> and Supplementary Fig. <xref ref-type="supplementary-material" rid="MOESM1">11</xref>). The histogram for WT TM3/4 showed, in the absence of any corrector, a compact structure with a high fraction of molecules being in the correctly folded, high FRET efficiency state (Fig. <xref rid="Fig4" ref-type="fig">4d</xref>, blue dots). Upon addition of either Lumacaftor or Galicaftor, little change of the degree of folding was observed. Also the variants E217G and Q220R TM3/4 mostly retained a closed conformation with high FRET efficiency similar to WT TM3/4, in agreement with our earlier study<sup><xref ref-type="bibr" rid="CR69">69</xref></sup>. V232D TM3/4, on the other hand, in the absence of any corrector, appeared misfolded and adopted a mostly open conformation with low FRET efficiency (Fig. <xref rid="Fig4" ref-type="fig">4c, d</xref>). Titration of Lumacaftor restored folding of V232D TM3/4 to a large degree with <inline-formula id="IEq102"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow><mml:mrow><mml:mn>50</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>337</mml:mn><mml:mo>±</mml:mo><mml:mn>39</mml:mn></mml:mrow></mml:mfenced><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">μ</mml:mi><mml:mi mathvariant="normal">M</mml:mi></mml:math><tex-math id="IEq102_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${{{{{{\rm{EC}}}}}}}_{50}=\left(337\pm 39\right)\,{\upmu }{{{{{\rm{M}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq102.gif"/></alternatives></inline-formula>, which is in excellent agreement to our previously reported <inline-formula id="IEq103"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow><mml:mrow><mml:mn>50</mml:mn></mml:mrow></mml:msub></mml:math><tex-math id="IEq103_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${{{{{{\rm{EC}}}}}}}_{50}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq103.gif"/></alternatives></inline-formula> of 347 µM (Fig. <xref rid="Fig4" ref-type="fig">4d</xref>). Lumacaftor, however, showed no drastic effect on the loop mutants E217G and Q220R TM3/4 as they remained largely folded even in the absence of the corrector, and we observed only a slight stabilization at high concentrations. In the case of Galicaftor, which we did not study previously, we observed that V232D TM3/4 could be rescued from misfolding as well, while the other variants were little affected by increasing Galicaftor concentrations (Fig. <xref rid="Fig4" ref-type="fig">4c, d</xref>). Noteworthy, at <inline-formula id="IEq104"><alternatives><mml:math><mml:mfenced close="]" open="["><mml:mrow><mml:mi mathvariant="normal">Galicaftor</mml:mi></mml:mrow></mml:mfenced><mml:mo>&gt;</mml:mo><mml:mn>400</mml:mn><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">μ</mml:mi><mml:mi mathvariant="normal">M</mml:mi></mml:math><tex-math id="IEq104_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$$\left[{{{{{\rm{Galicaftor}}}}}}\right] &gt; 400\,{\upmu }{{{{{\rm{M}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq104.gif"/></alternatives></inline-formula>, we detected a deviation of the fluorescence lifetime of the donor and acceptor, which interfered with the detection and, thus, was not considered in our analysis (Fig. <xref rid="Fig4" ref-type="fig">4d</xref>, gray area). Interestingly, the observed <inline-formula id="IEq105"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow><mml:mrow><mml:mn>50</mml:mn></mml:mrow></mml:msub></mml:math><tex-math id="IEq105_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${{{{{{\rm{EC}}}}}}}_{50}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq105.gif"/></alternatives></inline-formula> for the rescue of V232D TM3/4 was <inline-formula id="IEq106"><alternatives><mml:math><mml:msub><mml:mrow><mml:mi mathvariant="normal">EC</mml:mi></mml:mrow><mml:mrow><mml:mn>50</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mn>80</mml:mn><mml:mo>±</mml:mo><mml:mn>24</mml:mn></mml:mrow></mml:mfenced><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">μ</mml:mi><mml:mi mathvariant="normal">M</mml:mi></mml:math><tex-math id="IEq106_TeX">\documentclass[12pt]{minimal}
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				\begin{document}$${{{{{{\rm{EC}}}}}}}_{50}=\left(80\pm 24\right)\,{\upmu }{{{{{\rm{M}}}}}}$$\end{document}</tex-math><inline-graphic xlink:href="41467_2023_42232_Article_IEq106.gif"/></alternatives></inline-formula> and, thus, much lower than for Lumacaftor. Recent in vivo experiments also observed that Galicaftor is 12-fold more potent than Lumacaftor in rescuing full-length V232D CFTR at the plasma membrane. This corroborates that the structural readout of smFRET experiments on TM3/4 misfolding and its rescue by small molecule correctors provides insights into drug-action mechanisms. While CFTR TM3/4 shows a relatively large conformational change upon drug binding, employing multiple, complementary fluorescence parameters, as reported earlier<sup><xref ref-type="bibr" rid="CR70">70</xref></sup>, including anisotropy, diffusion time, and fluorescence lifetime, can help identifying molecular interactions with rather small conformational changes.</p><p id="Par27">In summary, our results on TM3/4 hairpin screening illustrate that within a single, automated multiwell plate smFRET experiment, we were able to recover structural information of misfolding events and their rescue, illustrating the suitability of our assay for drug screenings. We anticipate that such a multiwell plate assay opens up avenues to use smFRET for the characterization of patient-derived mutations on conformational dynamics and their rescue, thus providing long-sought-after approaches for rational drug design and drug discovery.</p></sec></sec><sec id="Sec7" sec-type="discussion"><title>Discussion</title><p id="Par28">Here, we introduced a platform for automated smFRET experiments in a multiwell plate format. With different examples, we illustrated how accurate and precise FRET efficiencies as well as conformational dynamics, molecular competitions, and information on small–molecule–protein interactions can be obtained from multiwell plate measurements. Along with a detailed description of the hardware components, which are all commercially available and can be installed without expert knowledge, we provide an open-source software suite for data acquisition, analysis, and visualization (see <xref ref-type="supplementary-material" rid="MOESM1">Supplementary Methods</xref>), offering an easily adaptable approach for other labs to integrate the multiwell plate smFRET assay into their workflows.</p><p id="Par29">All our examples were performed on 96-well plates with a 20-min measurement time per well. This accumulates to a total measurement time of 32 h and was sufficient to collect extensive data for all provided examples. However, our assay can be easily adjusted to either smaller (e.g., 48-wells) or larger (384-wells) multiwell plate formats, as desirable for the application. Further, the data acquisition software allows to select the specific wells to be probed on the multiwell plate, such that only a subset of conditions can be probed, and in the case of varying measurement statistics, the data acquisition time can be adjusted flexibly. With respect to measurement time, we noted that 32 h measurements can cause loss of fluorescent molecules (e.g., by non-specific adsorption to the 96-well plate). However, such loss can be prevented by the addition of a small percentage of surfactant (e.g., Tween20) or a brief preincubation with BSA to achieve surface passivation.</p><p id="Par30">For confocal smFRET experiments, the measurement of a single condition typically takes about 20 min to 2 h, depending on the system under scrutiny, and is usually followed by chamber cleaning, sample preparation, sample loading and data management, which typically take about 30 min per condition. These laborious and time-consuming steps can be drastically reduced with our multiwell approach. Automatization of data acquisition overcomes repetitive workflows, and multiwell plate handling enables swift sample preparation without repeated preparation steps. Of note, all of the samples described in this work were manually pipetted in an optimized pipetting scheme taking ~2–3 h to prepare an entire plate. These sample preparation steps can be further improved. Commercial implementations of micro-dispensers allow to fill a 96-well plate within 15 min in an automated fashion (<xref ref-type="supplementary-material" rid="MOESM1">Supplementary Information</xref>). Such a rapid, reliable preparation of 96-well plates provides an important step towards high-content screenings by smFRET. In fact, the ease of setting up such multiwell plate experiments will unleash the unique possibility to extensively, yet swiftly, bridge the gap between structural and functional aspects of biomolecular systems in dynamic structural biology and biophysics, and beyond. Of note, the multiwell platform is not limited to 96-well plates but can be readily adjusted to other plate specifications in the open-source code.</p><p id="Par31">Direct extraction of kinetic information from diffusion-based confocal smFRET experiments is typically limited to the millisecond timescale due to the short observation time (i.e., ~1 ms). However, several techniques have been developed to overcome this limitation. These include, for example, the usage of bigger pinholes to expand the confocal volume and thus enable longer observation times, analysis routines that can extract kinetics on longer timescales such as Recurrence Analysis of Single Particles (RASP)<sup><xref ref-type="bibr" rid="CR6">6</xref></sup>, or vesicle encapsulation to slow down diffusion. These techniques can be also applied to our automated approach, thereby extending the extraction of kinetics beyond the millisecond timescale. In fact, in the case of slow equilibration dynamics on the timescale of minutes to hours, the multiwell approach offers the possibility to use the temporal information from well-to-well changes or enables the return to earlier wells for a repeat of conformational sampling. An intermediate time range of seconds to minutes is typically sampled using immobilized molecules combined with microfluidics, which is an attractive, complementary approach<sup><xref ref-type="bibr" rid="CR1">1</xref>,<xref ref-type="bibr" rid="CR71">71</xref></sup>. Moreover, our multiwell plate format should also be applicable to fluorescence correlation spectroscopy measurements that enable the extraction of dynamics on the second to nanosecond timescales<sup><xref ref-type="bibr" rid="CR3">3</xref>,<xref ref-type="bibr" rid="CR72">72</xref>,<xref ref-type="bibr" rid="CR73">73</xref></sup>.</p><p id="Par32">Overall, with our automated multiwell plate platform, we open up unique possibilities to use high-content smFRET data for biomolecular screening and drug discovery. The increased sampling of multiwell plate smFRET, as demonstrated in our work, allows, for instance, to (i) discover unexpected interactions in multi-component systems; (ii) screen many different small molecules for affinities and effects on molecular conformations; and (iii) discover subtle conformational changes, which are typically inaccessible in single-well measurements due to low parameter space sampling. Together with our open-source cross-platform software suite and the easy-to-implement additions to already available smFRET setups, we anticipate that multiwell plate smFRET will enable the community to set up such a system in their labs and to gain in-depth insights into biological systems, spanning from protein folding to nucleic-acid structures and protein–small molecule interactions.</p></sec><sec id="Sec8" sec-type="methods"><title>Methods</title><sec id="Sec9"><title>DNA and protein preparation</title><p id="Par33">DNA samples, including fluorescently labeled oligos, were commercially obtained and annealed. Proteins were either purchased commercially or expressed recombinantly and purified. Details are given in the Supplementary Methods (pages S5 to S6 and Supplementary Table <xref ref-type="supplementary-material" rid="MOESM1">4</xref>).</p></sec><sec id="Sec10"><title>Multiwell plate experiments</title><p id="Par34">We loaded our 96-well plates in 2 to 3 pipetting cycles using prepared stock solutions of samples and buffers (Supplementary Table <xref ref-type="supplementary-material" rid="MOESM1">5</xref>). Detailed concentrations are given for each well in Supplementary Tables <xref ref-type="supplementary-material" rid="MOESM1">7</xref> to <xref ref-type="supplementary-material" rid="MOESM1">11</xref>. We describe below briefly the range of conditions.</p><sec id="Sec11"><title>DNA ruler experiments</title><p id="Par35">Annealed DNA rulers were diluted to ~100 pM in buffer (20 mM Tris-HCl, pH 8, 50 mM NaCl) and distributed into each well (Supplementary Table <xref ref-type="supplementary-material" rid="MOESM1">5</xref>).</p></sec><sec id="Sec12"><title>DNA hairpin experiments</title><p id="Par36">Annealed DNA hairpin hpT<sub>5</sub> was diluted to ~100 pM in buffer (20 mM Tris-HCl, pH 8) with well-specific NaCl concentrations ranging from 100 to 1000 mM in each well (Supplementary Tables <xref ref-type="supplementary-material" rid="MOESM1">5</xref> and <xref ref-type="supplementary-material" rid="MOESM1">7</xref>).</p></sec><sec id="Sec13"><title>S6 unfolding experiments</title><p id="Par37">S6 was diluted to ~100 pM in buffer (50 mM Tris-HCl pH 8, 150 mM NaCl, 2 mM TCEP) with well-specific GdmCl concentration ranging from 0 to 6 M (Supplementary Tables <xref ref-type="supplementary-material" rid="MOESM1">5</xref> and <xref ref-type="supplementary-material" rid="MOESM1">8</xref>).</p></sec><sec id="Sec14"><title>RecA and SSB experiments</title><p id="Par38">DNA dT<sub>70</sub> was diluted to ~100 pM in buffer (50 mM Tris-acetate pH 7.7, 5 mM Mg-acetate, 50 mM Na-acetate) and SSB (Promega Corporation, USA) was supplemented in specified concentrations (Supplementary Tables <xref ref-type="supplementary-material" rid="MOESM1">5</xref> and <xref ref-type="supplementary-material" rid="MOESM1">9</xref>). For the SSB–RecA competition, the buffer was supplemented with 16 mM ATP and RecA (New England Biolabs, USA) as well as SSB gradients were added to the respective rows (Supplementary Table <xref ref-type="supplementary-material" rid="MOESM1">10</xref>).</p></sec><sec id="Sec15"><title>TM3/4 experiments</title><p id="Par39">Reconstituted TM3/4 variants in POPC LUVs were diluted to ~100 pM in buffer (50 mM Tris-HCl pH 7.4) and added to each well. Wells were supplied with a gradient of small molecule concentrations ranging from 5 to 1600 µM (Supplementary Tables <xref ref-type="supplementary-material" rid="MOESM1">5</xref> and <xref ref-type="supplementary-material" rid="MOESM1">11</xref>).</p></sec></sec><sec id="Sec16"><title>Automated multiparameter single-molecule detection setup</title><p id="Par40">Experiments were carried out using a single-molecule confocal fluorescence microscope with pulsed-interleaved excitation and fluorescence anisotropy detection as shown in Fig. <xref rid="Fig1" ref-type="fig">1</xref> and described in detail in the Supplementary Methods (pages S3 to S5). Briefly, the microscope was equipped with a motorized sample stage (ASR100B120B, Zaber Technologies, Canada), a heating pad (Lerway, China), and an autofocus system (Perfect Focus System, Nikon, Japan). The immersion water was supplied by a liquid dispenser (Märzhäuser Wetzlar, Germany). The multiwell plates used in this study were glass bottom 96-well plates from IBL Baustoff+Labor GmbH, Austria.</p></sec><sec id="Sec17"><title>smFRET data analysis</title><p id="Par41">Data analysis was performed using pyBAT and pyVIZ as well as customized scripts for quantification of center positions, fractions, kinetic rates, and other extracted parameters. Single-molecule events were identified from the acquired photon stream by a burst search algorithm. Details about the primary and secondary data analysis procedures are given in the Supplementary Methods (pages S7 to S9 and individual analysis sections).</p></sec><sec id="Sec18"><title>Statistics and reproducibility</title><p id="Par42">No statistical method was used to pre-determine sample size. Exclusions were made solely for data points exhibiting exceptionally large confidence intervals (DNA hairpin kinetic data) or exhibiting impaired donor and acceptor fluorescence (TM3/4 Galicaftor data), enhancing the overall quality of the data analysis. To filter double-labeled and single-labeled molecules we applied a stoichiometry and brightness ratio filter. Filter parameters are provided for each experiment in the Supplementary Methods sections. The experiments were not randomized. The investigators were not blinded to allocation during experiments and outcome assessment.</p></sec><sec id="Sec19"><title>Reporting summary</title><p id="Par43">Further information on research design is available in the <xref ref-type="supplementary-material" rid="MOESM3">Nature Portfolio Reporting Summary</xref> linked to this article.</p></sec></sec></body><back><ack><title>Acknowledgements</title><p>We thank all members of the Schlierf lab for lively discussions during the development of this project. This research was funded by TU Dresden core funds (M.S.), the DFG SCHL1896/3-1 (M.S.) and SCHL1896/4-1 (M.S.), the BMBF OptiZeD Grant Z22E511 (M.S.), the European Social Fund and co-financed by tax funds based on the budget approved by the members of the Saxon State Parliament (M.Sche.) and by a grant from Mukoviszidose Institut gGmbH, Bonn, the research and development arm of the German Cystic Fibrosis Association Mukoviszidose e.V. (M.S.). We acknowledge support by the European Research Council (ERC) under the European Union’s Horizon 2020 Framework Programme through the Marie Skłodowska-Curie Grant MicroSPARK (agreement no. 841466; G.K.), the Herchel Smith Funds of the University of Cambridge (G.K.), and the Wolfson College Junior Research Fellowship (G.K.).</p></ack><sec sec-type="author-contribution"><title>Author contributions</title><p>M.S., A.H., G.K., and M.Sche. conceptualized the study, A.H., K.S., and P.S. devised and validated the methodology and developed the open source software, A.H., K.S., M.Sche., and N.C. performed the investigation, A.H. and K.S. performed the formal analysis, G.K. and M.Sche. provided resources, A.H. and M.S. supervised the project, A.H., N.C., M.Sche., and M.S. wrote the original draft and all other authors reviewed and edited it. M.S., G.K., and M.Sche. acquired funding for the project.</p></sec><sec sec-type="peer-review"><title>Peer review</title><sec id="FPar1"><title>Peer review information</title><p id="Par44"><italic>Nature Communications</italic> thanks Padmaja Mishra and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. A peer review file is available.</p></sec></sec><sec><title>Funding</title><p>Open Access funding enabled and organized by Projekt DEAL.</p></sec><sec sec-type="data-availability"><title>Data availability</title><p>Raw datasets measured and analyzed in the current study are available on OpARA: DNA ruler (<ext-link xlink:href="https://doi.org/10.25532/OPARA-202" ext-link-type="doi">https://doi.org/10.25532/OPARA-202</ext-link>); DNA hairpin (<ext-link xlink:href="https://doi.org/10.25532/OPARA-206" ext-link-type="doi">https://doi.org/10.25532/OPARA-206</ext-link>); S6 protein (<ext-link xlink:href="https://doi.org/10.25532/OPARA-209" ext-link-type="doi">https://doi.org/10.25532/OPARA-209</ext-link>); SSB and RecA competition (<ext-link xlink:href="https://doi.org/10.25532/OPARA-205" ext-link-type="doi">https://doi.org/10.25532/OPARA-205</ext-link>); CFTR TM3/4 (<ext-link xlink:href="https://doi.org/10.25532/OPARA-207" ext-link-type="doi">https://doi.org/10.25532/OPARA-207</ext-link>). <xref rid="Sec21" ref-type="sec">Source data</xref> are provided with this paper.</p></sec><sec sec-type="data-availability"><title>Code availability</title><p>The software used in this manuscript is freely available from the GitHub repository: <ext-link xlink:href="https://github.com/SchlierfLAB/autoFRET" ext-link-type="url">https://github.com/SchlierfLAB/autoFRET</ext-link> and via <ext-link xlink:href="https://doi.org/10.5281/zenodo.8269134" ext-link-type="doi">https://doi.org/10.5281/zenodo.8269134</ext-link>. 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