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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mol. Biosci.</journal-id>
<journal-title>Frontiers in Molecular Biosciences</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mol. Biosci.</abbrev-journal-title>
<issn pub-type="epub">2296-889X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1059673</article-id>
<article-id pub-id-type="doi">10.3389/fmolb.2023.1059673</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Molecular Biosciences</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>ATP binding by an F<sub>1</sub>F<sub>o</sub> ATP synthase &#x3b5; subunit is pH dependent, suggesting a diversity of &#x3b5; subunit functional regulation in bacteria</article-title>
<alt-title alt-title-type="left-running-head">Krah et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fmolb.2023.1059673">10.3389/fmolb.2023.1059673</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Krah</surname>
<given-names>Alexander</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/903653/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Vogelaar</surname>
<given-names>Timothy</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>de Jong</surname>
<given-names>Sam I.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1985482/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Claridge</surname>
<given-names>Jolyon K.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Bond</surname>
<given-names>Peter J.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/607464/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>McMillan</surname>
<given-names>Duncan G. G.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1986720/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Korea Institute for Advanced Study</institution>, <institution>School of Computational Sciences</institution>, <addr-line>Seoul</addr-line>, <country>South Korea</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Bioinformatics Institute</institution>, <institution>Agency for Science</institution>, <institution>Technology and Research (A&#x2a;STAR)</institution>, <addr-line>Singapore</addr-line>, <country>Singapore</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Biotechnology</institution>, <institution>Delft University of Technology</institution>, <addr-line>Delft</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>School of Fundamental Sciences</institution>, <institution>Massey University</institution>, <addr-line>Palmerston North</addr-line>, <country>New Zealand</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Biological Sciences</institution>, <institution>National University of Singapore</institution>, <addr-line>Singapore</addr-line>, <country>Singapore</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/313872/overview">Cesare Indiveri</ext-link>, University of Calabria, Italy</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/558407/overview">Salvatore Nesci</ext-link>, University of Bologna, Italy</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/213665/overview">Paolo Natale</ext-link>, Complutense University of Madrid, Spain</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Duncan G. G. McMillan, <email>D.G.G.McMillan@tudelft.nl</email>; Alexander Krah, <email>kraha@bii.a-star.edu.sg</email>
</corresp>
<fn fn-type="equal" id="fn1">
<label>
<sup>&#x2020;</sup>
</label>
<p>These authors have contributed equally to this work</p>
</fn>
<fn fn-type="other">
<p>This article was submitted to Cellular Biochemistry, a section of the journal Frontiers in Molecular Biosciences</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>27</day>
<month>02</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1059673</elocation-id>
<history>
<date date-type="received">
<day>17</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>03</day>
<month>01</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Krah, Vogelaar, de Jong, Claridge, Bond and McMillan.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Krah, Vogelaar, de Jong, Claridge, Bond and McMillan</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>It is a conjecture that the &#x3b5; subunit regulates ATP hydrolytic function of the F<sub>1</sub>F<sub>o</sub> ATP synthase in bacteria. This has been proposed by the &#x3b5; subunit taking an extended conformation, with a terminal helix probing into the central architecture of the hexameric catalytic domain, preventing ATP hydrolysis. The &#x3b5; subunit takes a contracted conformation when bound to ATP, thus would not interfere with catalysis. A recent crystallographic study has disputed this; the <italic>Caldalkalibacillus thermarum</italic> TA2.A1 F<sub>1</sub>F<sub>o</sub> ATP synthase cannot natively hydrolyse ATP, yet studies have demonstrated that the loss of the &#x3b5; subunit terminal helix results in an ATP synthase capable of ATP hydrolysis, supporting &#x3b5; subunit function. Analysis of sequence and crystallographic data of the <italic>C. thermarum</italic> F<sub>1</sub>F<sub>o</sub> ATP synthase revealed two unique histidine residues. Molecular dynamics simulations suggested that the protonation state of these residues may influence ATP binding site stability. Yet these residues lie outside the ATP/Mg<sup>2&#x2b;</sup> binding site of the &#x3b5; subunit. We then probed the effect of pH on the ATP binding affinity of the &#x3b5; subunit from the <italic>C. thermarum</italic> F<sub>1</sub>F<sub>o</sub> ATP synthase at various physiologically relevant pH values. We show that binding affinity changes 5.9 fold between pH 7.0, where binding is weakest, to pH 8.5 where it is strongest. Since the <italic>C. thermarum</italic> cytoplasm is pH 8.0 when it grows optimally, this correlates to the &#x3b5; subunit being down due to ATP/Mg<sup>2&#x2b;</sup> affinity, and not being involved in blocking ATP hydrolysis. Here, we have experimentally correlated that the pH of the bacterial cytoplasm is of critical importance for &#x3b5; subunit ATP affinity regulated by second-shell residues thus the function of the &#x3b5; subunit changes with growth conditions.</p>
</abstract>
<kwd-group>
<kwd>F1Fo ATP synthase</kwd>
<kwd>regulation-physiological</kwd>
<kwd>alkaliphile bacteria</kwd>
<kwd>aerobe</kwd>
<kwd>polyextreme environments</kwd>
</kwd-group>
<contract-sponsor id="cn001">Delft Research Centres<named-content content-type="fundref-id">10.13039/501100002984</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">Nederlandse Organisatie voor Wetenschappelijk Onderzoek<named-content content-type="fundref-id">10.13039/501100003246</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>F-type ATP synthases synthesize ATP, the universal energy source in most living cells. The enzyme consists of a membrane embedded F<sub>o</sub> domain, which is composed of the membrane embedded proteolipid ring (<italic>c</italic> subunits), the collar-like <italic>a</italic> subunit which is asymmetrically wrapped around the <italic>c</italic>-ring, and the <italic>b</italic> subunit dimer which links the membrane embedded <italic>c</italic>-subunit ring and <italic>a</italic> subunit to the F<sub>1</sub> domain. The catalytic component of the F<sub>1</sub> domain (<xref ref-type="bibr" rid="B63">Stock et al., 1999</xref>) consists of the asymmetric hexameric &#x3b1;<sub>3</sub>&#x3b2;<sub>3</sub> assembly. The asymmetry is caused by the central stalk &#x3b3; subunit, which is bound to the &#x3b5; subunit (in bacteria), or the &#x3b4; subunit (in mitochondria) (<xref ref-type="bibr" rid="B2">Abrahams et al., 1994</xref>). The &#x3b4; subunit (bacteria) (<xref ref-type="bibr" rid="B61">Sobti et al., 2016</xref>) or oligomycin sensitivity conferral protein (OSCP) (mitochondria) (<xref ref-type="bibr" rid="B56">Rees et al., 2009</xref>) connects the <italic>b</italic> subunit dimer with the hexameric &#x3b1;<sub>3</sub>&#x3b2;<sub>3</sub> assembly. Recent structural studies describing the F<sub>o</sub> and F<sub>1</sub> domains have been released (<xref ref-type="bibr" rid="B24">Hahn et al., 2016</xref>; <xref ref-type="bibr" rid="B25">Hahn et al., 2018</xref>; <xref ref-type="bibr" rid="B23">Guo et al., 2019</xref>; <xref ref-type="bibr" rid="B22">Guo et al., 2021</xref>; <xref ref-type="bibr" rid="B15">Demmer et al., 2022</xref>), providing reliable structural information about the whole enzyme complex. ATP synthases are driven by an electrochemical (H<sup>&#x2b;</sup> or Na<sup>&#x2b;</sup>) (<xref ref-type="bibr" rid="B51">Mitchell, 1961</xref>; <xref ref-type="bibr" rid="B16">Dimroth, 1997</xref>) gradient, which enforces a rotation in the membrane embedded domain (<xref ref-type="bibr" rid="B57">Sambongi et al., 1999</xref>). The rotation of the <italic>c</italic>-ring induces a conformational change (<xref ref-type="bibr" rid="B7">B&#xf6;ckmann and Grubm&#xfc;ller, 2002</xref>; <xref ref-type="bibr" rid="B44">Kubo et al., 2022</xref>) in the soluble F<sub>1</sub> domain, triggering the catalytic synthesis of ATP (<xref ref-type="bibr" rid="B29">Hutton and Boyer, 1979</xref>). Under certain cellular conditions, most F<sub>1</sub>F<sub>o</sub> ATP synthases can perform the inverse reaction, i.e., ATP hydrolysis for pH homeostasis or to extrude excess Na<sup>&#x2b;</sup> (<xref ref-type="bibr" rid="B51">Mitchell, 1961</xref>; <xref ref-type="bibr" rid="B16">Dimroth, 1997</xref>).</p>
<p>ADP/Mg<sup>2&#x2b;</sup> inhibition is a common ATPase inhibition mechanism in mammals (<xref ref-type="bibr" rid="B17">Drobinskaya et al., 1985</xref>) and bacteria (<xref ref-type="bibr" rid="B30">Hyndman et al., 1994</xref>; <xref ref-type="bibr" rid="B26">Hirono-Hara et al., 2001</xref>; <xref ref-type="bibr" rid="B48">McMillan et al., 2016</xref>). This inhibition partially prevents the hydrolysis of ATP at homeostatic pH to a species-dependent extent (<xref ref-type="bibr" rid="B11">Cingolani and Duncan, 2011</xref>; <xref ref-type="bibr" rid="B74">Zarco-Zavala et al., 2014</xref>). The notable exception to this is the <italic>Caldalkalibacillus thermarum</italic> F<sub>1</sub>F<sub>o</sub> ATP synthase that has been demonstrated to be a <italic>physiologically</italic> non-reversible enzyme (<xref ref-type="bibr" rid="B12">Cook et al., 2003</xref>; <xref ref-type="bibr" rid="B47">McMillan et al., 2007</xref>). It is important to note that ADP/Mg<sup>2&#x2b;</sup> inhibition has long been proposed to be relieved by the addition of lauryldimethylamine-oxide (LDAO) detergent (<xref ref-type="bibr" rid="B12">Cook et al., 2003</xref>; <xref ref-type="bibr" rid="B47">McMillan et al., 2007</xref>; <xref ref-type="bibr" rid="B48">McMillan et al., 2016</xref>), which serves to &#x201c;enhance or unlock&#x201d; ATP hydrolysis activity, even in the <italic>physiologically</italic> non-reversible <italic>C. thermarum</italic> enzyme (<xref ref-type="bibr" rid="B47">McMillan et al., 2007</xref>). In addition to ADP/Mg<sup>2&#x2b;</sup> inhibition, organisms from different domains of life have developed unique mechanisms to control this wasteful hydrolysis of ATP. In mammals, the pH dependent (<xref ref-type="bibr" rid="B9">Cabez&#xf3;n et al., 2000</xref>) inhibitory protein IF<sub>1</sub> (<xref ref-type="bibr" rid="B55">Pullman and Monroy, 1963</xref>) regulates ATP hydrolysis activity (<xref ref-type="bibr" rid="B10">Cabezon et al., 2000</xref>). In contrast, in a number of model bacteria, the &#x3b5; subunit has been a long-standing candidate for regulation of ATP hydrolytic function (<xref ref-type="bibr" rid="B39">Krah, 2015</xref>; <xref ref-type="bibr" rid="B43">Krah et al., 2018</xref>). The mechanism behind this regulation has been proposed to proceed <italic>via</italic> a conformational change in the &#x3b5; subunit structure (<xref ref-type="bibr" rid="B76">Suzuki et al., 2003</xref>). The structure of the &#x3b5; subunit includes two c-terminal helices that can either be parallel to each other in a compact conformation (<xref ref-type="bibr" rid="B71">Yagi et al., 2007</xref>) (also referred to as the &#x201c;down-state&#x201d;), or can adopt an extended conformation (also referred to as the &#x201c;up-state&#x201d;; see <xref ref-type="fig" rid="F1">Figure 1</xref>) (<xref ref-type="bibr" rid="B43">Krah et al., 2018</xref>). Conversely, the up-state has been proposed to be inhibitory to ATP hydrolytic function (<xref ref-type="bibr" rid="B11">Cingolani and Duncan, 2011</xref>; <xref ref-type="bibr" rid="B59">Shirakihara et al., 2015</xref>), and is tightly coupled to proton transport ability when the cellular ATP concentration falls below a certain threshold (<xref ref-type="bibr" rid="B20">Feniouk et al., 2007</xref>; <xref ref-type="bibr" rid="B32">Kadoya et al., 2011</xref>). The &#x3b5; subunit is able to switch from an &#x201c;up-state&#x201d; to a &#x201c;down-state&#x201d; through the binding of ATP/Mg<sup>2&#x2b;</sup> (i.e.,: there is now much more ATP in the cell). This is thought to allow the enzyme to then perform ATP hydrolysis. Binding of ATP over other nucleotides is very specific (<xref ref-type="bibr" rid="B33">Kato et al., 2007</xref>; <xref ref-type="bibr" rid="B34">Kato-Yamada, 2016</xref>) The structural basis for selectivity was recently simulated, indicating a perturbed binding network between protein and ligand when ATP is replaced with GTP (<xref ref-type="bibr" rid="B37">Krah et al., 2020</xref>). Last, in mycobacteria it has been shown that an extension of the &#x3b1; subunit inhibits ATP hydrolysis (<xref ref-type="bibr" rid="B59">Wong and Gr&#x00FC;ber, 2020</xref>; <xref ref-type="bibr" rid="B70">Wong et al., 2022</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Epsilon structure and function in the context of the F<sub>1</sub>F<sub>o</sub> ATP synthase <bold>(A)</bold> The <italic>Escherichia coli</italic> F<sub>1</sub>F<sub>o</sub> multi-subunit complex protein is displayed showing a structure with the &#x03B5;; subunit in the extended &#x2018;up-state&#x2019; in which ATP is not bound (Left: 5T4O) and a structure with the with &#x03B5;; subunit in the compact &#x2018;down-state&#x2019; in which ATP is bound (Right: 5T4O, exchanging chain H with 1AQT). The F<sub>1</sub> subunits, &#x3b1;<sub>3</sub>&#x3b2;<sub>3</sub>&#x3b3;&#x3b4;&#x3b5;, are shown in blue, blue, red, brown and aqua, respectively, and the membrane-bound F<sub>o</sub> subunits, <italic>ab</italic>
<sub>2</sub>
<italic>c</italic>
<sub>10</sub>, are shown in pink, orange, and green respectively. Membrane boundaries around the F<sub>o</sub> are indicated by a yellow box bound by black lines. The red boxes encompass the &#x03B5;; subunit in either state. <bold>(B)</bold> A zoom in of the &#x03B5;; subunit in the &#x201c;down-state&#x201d; showing the sheet and helical domains. For clarity of relative orientation, the N-terminal helix (NTH) and &#x3b2;-sheet domain are shown in cyan while the C-terminal helix (CTH) is shown in green.</p>
</caption>
<graphic xlink:href="fmolb-10-1059673-g001.tif"/>
</fig>
<p>However, despite this seemingly clear division in regulation between higher animal life and bacteria, &#x3b5; subunit-mediated regulation apparently does not occur in &#x3b1;-proteobacteria, which use a regulatory mechanism governed by the unique &#x3b6; subunit (<xref ref-type="bibr" rid="B74">Zarco-Zavala et al., 2014</xref>; <xref ref-type="bibr" rid="B43">Krah et al., 2018</xref>). The &#x3b6; subunit has been proposed to share a similar mechanism to IF<sub>1</sub>, and for this reason, the model organism <italic>Paracoccus denitrificans</italic> has been proposed to be an evolutionary bridge between higher-order life and bacteria (<xref ref-type="bibr" rid="B52">Morales Rioz et al., 2010</xref>; <xref ref-type="bibr" rid="B75">Zarco-Zavala et al., 2020</xref>).</p>
<p>To date, structural and functional studies suggest that &#x3b5; subunit ATP binding have been dependent on the conditions under which the experiment was conducted, and from which bacterium the F<sub>1</sub>F<sub>o</sub> ATP synthase originated (<xref ref-type="bibr" rid="B43">Krah et al., 2018</xref>). The &#x3b5; subunit from various organisms has been resolved in the down-state when being bound to ATP (<xref ref-type="bibr" rid="B71">Yagi et al., 2007</xref>; <xref ref-type="bibr" rid="B21">Ferguson et al., 2016</xref>; <xref ref-type="bibr" rid="B60">Sobti et al., 2019</xref>) or in the absence of ATP (<xref ref-type="bibr" rid="B68">Wilkens et al., 1995</xref>; <xref ref-type="bibr" rid="B72">Yagi et al., 2010</xref>; <xref ref-type="bibr" rid="B31">Joon et al., 2018</xref>; <xref ref-type="bibr" rid="B22">Guo et al., 2021</xref>; <xref ref-type="bibr" rid="B58">Shin et al., 2022</xref>). The ATP binding affinities of isolated &#x3b5; subunits from different organisms range from the micro-to the milli-molar range; <italic>Bacillus</italic> PS3 (<italic>K</italic>
<sub>
<italic>d</italic>
</sub> &#x3d; 4.3&#xa0;&#x3bc;M) (<xref ref-type="bibr" rid="B33">Kato et al., 2007</xref>), <italic>Bacillus subtilis</italic> (<italic>K</italic>
<sub>
<italic>d</italic>
</sub> &#x3d; 2.1&#xa0;mM) (<xref ref-type="bibr" rid="B35">Kato-Yamada, 2005</xref>; <xref ref-type="bibr" rid="B42">Krah et al., 2021</xref>) or <italic>Escherichia coli</italic> (<italic>K</italic>
<sub>
<italic>d</italic>
</sub> &#x3d; 22&#xa0;mM) (<xref ref-type="bibr" rid="B71">Yagi et al., 2007</xref>). This wide range over three orders of magnitude suggests different physiological functions and regulation of the &#x3b5; subunit in different organisms. Interestingly, the &#x3b5; subunit of <italic>M. tuberculosis</italic> did not bind to ATP at the conditions measured (<xref ref-type="bibr" rid="B6">Biukovic et al., 2013</xref>).</p>
<p>At face value, given that the bulk-phase ATP concentration in <italic>E. coli</italic> cells is on average 1.5&#xa0;mM (<xref ref-type="bibr" rid="B73">Yaginuma et al., 2014</xref>), and 9.6&#xa0;mM in the glucose fed state (<xref ref-type="bibr" rid="B5">Bennett et al., 2009</xref>) in accordance with their ATP <italic>K</italic>
<sub>
<italic>d</italic>
</sub> values (<xref ref-type="bibr" rid="B71">Yagi et al., 2007</xref>; <xref ref-type="bibr" rid="B33">Kato et al., 2007</xref>), the &#x3b5; subunit from <italic>E. coli</italic> and <italic>Bacillus</italic> PS3 should theoretically adopt an up- or down-state, respectively, in bulk-phase cell homeostasis. This is in complete agreement with a recent finding by Milgrom and Duncan (2020) who demonstrated that over 50% of the <italic>E. coli</italic> enzymes are in the &#x3b5; subunit extended conformation (<xref ref-type="bibr" rid="B50">Milgrom and Duncan, 2020</xref>). Yet despite this, extensive growth studies by Taniguchi <italic>et al</italic> using an <italic>E. coli</italic> &#x3b5; subunit C-terminal helix (CTH) mutant (&#x394;CTH; effectively removing half of the ATP binding site, see <xref ref-type="fig" rid="F1">Figure 1B</xref>) demonstrated that under a wide range of nutrient limited conditions, the removal of the CTH had no measurable effect on growth rate, molar yield, membrane potential, or intracellular ATP concentration. The pH of the growth media was also decreased to 5.0, where the cell would be theoretically stressed enough to require the ATP synthase to pump out protons to maintain cell pH homeostasis, but this also had no detectable effect (<xref ref-type="bibr" rid="B64">Taniguchi et al., 2011</xref>). This suggests that at least under the conditions examined, the CTH and ATP binding of the &#x3b5; subunit in <italic>E. coli</italic> is dispensable for growth and survival. This study also suggests that additional compensatory mechanisms may be at work in the cellular environment&#x2013;the obvious mechanistic suggestion being ADP/Mg<sup>2&#x2b;</sup> regulation. Single molecule measurements may be useful to reveal such mechanisms if conducted under physiologically relevant conditions (<xref ref-type="bibr" rid="B18">Duncan et al., 2014</xref>).</p>
<p>However, this may not be the situation in <italic>Bacillus</italic> sp., where to date the <italic>K</italic>
<sub>
<italic>d</italic>
</sub> for ATP of the &#x3b5; subunit is in bulk-phase cytoplasmic range (<xref ref-type="bibr" rid="B34">Kato-Yamada, 2005</xref>; <xref ref-type="bibr" rid="B33">Kato et al., 2007</xref>; <xref ref-type="bibr" rid="B42">Krah et al., 2021</xref>). Keis <italic>et al</italic> demonstrated in the <italic>C. thermarum</italic> &#x3b5; subunit that either mutation of a group of positively changed amino acids to alanine (&#x3b5;R116A, &#x3b5;H117A, &#x3b5;K118A, &#x3b5;R119A, &#x3b5;R123A, and &#x3b5;R127A; referred to as &#x201c;&#x3b5;6A&#x201d;) or complete removal of the CTH (&#x394;CTH) resulted in a fully reversible enzyme from an enzyme previously incapable of ATP hydrolysis. Interestingly, in a mutant enzyme with 4 of the &#x3b5;6A mutations (&#x3b5;R116A, &#x3b5;H117A, &#x3b5;K118A, &#x3b5;R119A; &#x2018;&#x3b5;4A&#x2019;) the <italic>C. thermarum</italic> enzyme was not reversible, implying the arginine residues of the &#x3b5; subunit at positions 123 and 127 have a critical role in non-reversibility (<xref ref-type="bibr" rid="B36">Keis et al., 2006</xref>). It should be noted that this study was conducted in both the F<sub>1</sub> domain alone, and a complete reconstituted F<sub>1</sub>F<sub>o</sub> enzyme. These data are <italic>clearly</italic> in support of a regulatory role for the &#x3b5; subunit. Conversely, a recent crystallographic study using the F<sub>1</sub> domain found that in the presence or absence of ATP, the <italic>C. thermarum</italic> structure was in the down-state (<xref ref-type="bibr" rid="B21">Ferguson et al., 2016</xref>), suggesting that the <italic>&#x3b5;</italic> subunit has no regulatory role. In this study, an N-terminal helix (NTH) mutant (&#x3b5;D89A, &#x3b5;R92A; see <xref ref-type="fig" rid="F1">Figure 1B</xref>) resulted in a lack of ability to bind ATP and was shown to be in the &#x201c;down-state&#x201d; (<xref ref-type="bibr" rid="B21">Ferguson et al., 2016</xref>). As with the <italic>E. coli</italic> studies of Milgrom and Taniguchi previously mentioned, these results are seemingly in conjecture with each other. In this case it is even more pertinent to note that a role for the &#x3b5; subunit as a regulator in non-reversible ATP synthase would be seemingly of utmost importance, where the energetic cost of unregulated ATP hydrolysis would be highest due to the highly alkaline oligotrophic environment where <italic>C. thermarum</italic> is found (pH 9.5/65 &#xb0;C) (<xref ref-type="bibr" rid="B46">McMillan et al., 2009</xref>; <xref ref-type="bibr" rid="B14">de Jong et al., 2020</xref>). However, both this study and an extensive single molecule study (<xref ref-type="bibr" rid="B48">McMillan et al., 2016</xref>) suggest ADP/Mg<sup>2&#x2b;</sup> to be the main mode of ATP hydrolytic inhibition in this enzyme. Clearly, there is more to the conundrum of &#x3b5; subunit function that has not yet been revealed, and the role of the physiological environment needs to be further considered, along with the environmental pressures that the organism faces.</p>
<p>When considering physiological environment, while ATP binding has been extensively studied, the roles of physiologically relevant cell cytoplasmic pH on &#x3b5; subunit ATP binding has been largely overlooked <italic>in vitro</italic>. This seems to be at odds with the intention of examining physiological function considering that the proposed core role of ATP hydrolysis by the F<sub>1</sub>F<sub>o</sub> ATP synthase is pH homeostasis. Furthermore, the binding site residues of &#x3b5; subunits from both <italic>Bacillus</italic> PS3 and <italic>B. subtilis</italic> are seemingly identical when examining primary sequence, despite having orders of magnitude different ATP binding affinity (<xref ref-type="bibr" rid="B35">Kato-Yamada, 2005</xref>; <xref ref-type="bibr" rid="B33">Kato et al., 2007</xref>; <xref ref-type="bibr" rid="B42">Krah et al., 2021</xref>). This binding affinity difference has been proposed to be induced by an allosteric Mg<sup>2&#x2b;</sup> binding site (<xref ref-type="bibr" rid="B41">Krah and Takada, 2015</xref>). However, recently a residue outside the <italic>B. subtilis</italic> &#x3b5; subunit ATP binding site, &#x3b5;E102, was shown to have profound influence on ATP binding affinity. This was proposed to be through sequestering &#x3b5;R99 away from the binding site building a salt bridge between &#x3b5;R99 and &#x3b5;E102. Indeed, when the charge was removed by mutation to alanine (&#x3b5;E102A) a &#x223c;10 fold increase in ATP binding affinity was observed. However, more strikingly, a change to a positive charge <italic>via</italic> mutation to arginine (&#x3b5;E102R) resulted in a &#x223c;54 fold increase in ATP binding affinity, presumably through repulsion causing rotation of &#x3b5;R99 towards the active site (<xref ref-type="bibr" rid="B42">Krah et al., 2021</xref>). In addition, ATP binding studies have revealed that the &#x3b5;R103A/&#x3b5;R115A double-mutant of <italic>Bacillus PS3</italic> binds ATP with a two orders of magnitude increase in affinity (52&#xa0;nM) compared to wild-type (4.3&#xa0;&#x3bc;M) (<xref ref-type="bibr" rid="B34">Kato-Yamada, 2016</xref>). We proposed that this increase in affinity is caused by an enhanced hydrogen bonding network and a loss of repulsive contacts between the Mg<sup>2&#x2b;</sup> ion and basic protein residues with other positively charged residues at the binding site (<xref ref-type="bibr" rid="B40">Krah and Takada, 2016</xref>; <xref ref-type="bibr" rid="B38">Krah et al., 2017</xref>). Taken together, this suggests that &#x201c;second shell&#x201d; residues outside the ATP binding site are capable of influencing what occurs in the nucleotide binding site through either Mg<sup>2&#x2b;</sup>, direct amino-acid hydrogen bonding, or <italic>via</italic> bound H<sub>2</sub>O molecules.</p>
<p>In this study, we probe the effect of physiologically relevant intracellular pH values on the ATP binding affinity of the &#x3b5; subunit from the monodirectional F<sub>1</sub>F<sub>o</sub> ATP synthase from <italic>C. thermarum</italic>. Analysis of sequence and crystallographic data reveal two unique histidine residues may be responsible, with molecular dynamics (MD) simulations suggesting that the protonation state of these residues may influence ATP binding site stability.</p>
</sec>
<sec sec-type="results" id="s2">
<title>Results</title>
<sec id="s2-1">
<title>Unique histidine residues may be key players behind pH-guided affinity</title>
<p>Initial examination of the <italic>C. thermarum</italic> &#x3b5; subunit sequence in comparison with the neutrophilic <italic>E. coli</italic>, <italic>Bacillus</italic> PS3, <italic>B. subtilis, Priesta megaterium</italic> &#x3b5; subunits and two &#x3b5; subunits from the alkaliphilic <italic>Alkalhalobacillus halodurans</italic> and <italic>Alkaliphilus psudofirmus</italic>, revealed two unique histidine residues not present in any of the other species examined (<xref ref-type="fig" rid="F2">Figure 2</xref>; <xref ref-type="sec" rid="s10">Supplementary Figure S1</xref>). Fortunately, the crystal structure of the whole F<sub>1</sub> domain from <italic>C. thermarum</italic> has been released recently (<xref ref-type="bibr" rid="B21">Ferguson et al., 2016</xref>), giving an opportunity to examine the relevance of these two histidine residues. Interestingly, the structure of the &#x3b5; subunit with bound ATP and Mg<sup>2&#x2b;</sup> is quite similar to the &#x3b5; subunit from thermophilic <italic>Bacillus</italic> PS3 (<xref ref-type="bibr" rid="B71">Yagi et al., 2007</xref>; <xref ref-type="bibr" rid="B40">Krah and Takada, 2016</xref>). ATP is coordinated by &#x3b5;E83 (ATP:O2&#x2ca;), &#x3b5;D89:O (ATP:N6), &#x3b5;D89:N (ATP:N1), &#x3b5;R92 (cation-&#x3c0; stacking with the adenine base), &#x3b5;R99 (ATP:O&#x3b3;), &#x3b5;R123 (ATP:O&#x3b2;), &#x3b5;R127 (ATP:O&#x3b1;/&#x3b2;) and one Mg<sup>2&#x2b;</sup> ion (<xref ref-type="fig" rid="F2">Figures 2</xref>, <xref ref-type="fig" rid="F3">3</xref>). However, it should be noted that crystal packing effects may potentially have an influence on the structure (<xref ref-type="bibr" rid="B43">Krah et al., 2018</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<italic>C. thermarum</italic> has unique histidine residues. The C-terminal helix amino acids of the &#x3b5; subunit of <italic>C. thermarum</italic> (accession number are AFCE01000162) are shown with the unique histidine residues in red at positions 100 and 117 and other positive charged residues in bold type (top). Below this, a structural model of the &#x3b5; subunit from <italic>C. thermarum</italic> in cyan (PDB ID: 5HKK) is displayed. The ligand-binding site structure is shown zoomed in on the right with the various features coordinating the ion highlighted. ATP is bound by &#x3b5;E83, &#x3b5;R92, &#x3b5;R99, &#x3b5;R123 and &#x3b5;R127. &#x3b5;H100 appears to stabilize Mg<sup>2&#x2b;</sup> (pink sphere) binding <italic>via</italic> one of the bound water molecules (red spheres). ATP is depicted as a stick model with its phosphates associating with Mg<sup>2&#x2b;</sup> and four water molecules.</p>
</caption>
<graphic xlink:href="fmolb-10-1059673-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Distance distribution of interactions between the protein and ATP. <bold>(A&#x2013;E)</bold>, Distance distribution of interactions within the binding site of the &#x3b5; subunit (&#x3b5;H100:N&#x3b4;1 protonated) from <italic>C. thermarum</italic> during simulations. In <bold>(F)</bold> the predicted site is shown.</p>
</caption>
<graphic xlink:href="fmolb-10-1059673-g003.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>Exploring the potential role of the novel histidine residues using MD simulations</title>
<p>To help mitigate potential crystallographic effects and further explore the role of &#x3b5;H100 and &#x3b5;H117 we performed a series of triplicate MD simulations the &#x3b5; subunit of <italic>C. thermarum</italic> as shown in the crystal structure (<xref ref-type="bibr" rid="B21">Ferguson et al., 2016</xref>). This revealed consistently stable binding of the protein to ATP over the timescale of hundred nanoseconds (<xref ref-type="fig" rid="F3">Figure 3</xref>, <xref ref-type="sec" rid="s10">Supplementary Figures S2&#x2013;S5</xref>). The simulations indicated that the ATP binding site may be slightly shifted from the one observed in the crystal structure (<xref ref-type="bibr" rid="B21">Ferguson et al., 2016</xref>). Whether this conformation change reflects the presence of crystal contacts of the &#x3b5; subunit with the &#x3b1;<sub>3</sub>&#x3b2;<sub>3</sub> hexamer of the second crystallized ATP synthase is not clear (<xref ref-type="bibr" rid="B43">Krah et al., 2018</xref>). However, the computationally measured interactions are most stable if the proton of the &#x3b5;H100 imidazole ring in its neutral state is localized to N&#x3b4;1 (<xref ref-type="fig" rid="F3">Figure 3</xref>). This means that the negative partial charge on N&#x3b5;2 stabilizes the ATP binding site by supporting the &#x3b5;R99 interaction with the negatively charged &#x3b3;-phosphate (<xref ref-type="fig" rid="F3">Figure 3F</xref>). If &#x3b5;H100 is protonated only on N&#x3b5;2, or double protonated on both N&#x3b4;1 and N&#x3b5;2, we observed a decreased stability of the &#x3b5;R99:NHx&#x2013;ATP:O&#x3b3; interaction.</p>
<p>In the crystal structure, hydrogen bonds are observed between &#x3b5;H100:N&#x3b4;1 and &#x3b5;H117:N&#x3b4;1. This indicates that the interaction with &#x3b5;H117 may also stabilize the position of H100; thus, the protonation state of &#x3b5;H117 may be of importance to induce a favourable interaction network and to prevent repulsion that may destabilize the &#x3b5;R99-&#x3b5;H100 and &#x3b5;R99-ATP:O&#x3b3; interactions. To test the influence of the protonation state on the stability, we thus also simulated different protonation states of &#x3b5;H100 and &#x3b5;H117. We then used the method of <xref ref-type="bibr" rid="B19">Espinosa et al. (1998)</xref> to assess the enthalpy associated with the hydrogen bond network, with the aim of examining if the conformation in which &#x3b5;H100:N&#x3b4;1 is protonated is indeed the most stable one (<xref ref-type="table" rid="T1">Table 1</xref>). Interactions were measured between ATP and protein, as well as between the CTH and remainder of the protein; the total energy shown is a sum of these two contributions. Our results demonstrate that the hydrogen bonding energy contributed by the network of interactions is more favourable for the &#x3b5;H100:N&#x3b4;1 protonation state than the &#x3b5;H100:N&#x3b5;2 one (<xref ref-type="table" rid="T1">Table 1</xref>). The reduced stability in the latter case is likely caused by the loss of the hydrogen bond between &#x3b5;R99 and &#x3b5;H100 (<xref ref-type="fig" rid="F3">Figure 3</xref>, <xref ref-type="sec" rid="s10">Supplementary Figures S2&#x2013;S4</xref>). Considering that the &#x3b5;R99 mutation in <italic>Bacillus</italic> PS3 lowers the ATP binding affinity (<xref ref-type="bibr" rid="B33">Kato et al., 2007</xref>), it may be expected that the pH changes the affinity due to a destabilized coordination network (<xref ref-type="sec" rid="s10">Supplementary Figure S5</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Energetic analysis of ATP binding to the &#x3b5; subunit. Number of hydrogen bonds (H-bonds) and energetics (E<sub>HB</sub>) of ATP binding (enthalpic contribution) when the &#x3b5; subunit from <italic>C. thermarum</italic> is simulated in different protonation states; the protonated imidazole nitrogen is indicated by N&#x3b4;1 (protonated at N&#x3b4;1), N&#x3b5;2 (protonated at N&#x3b5;2) or dp (double protonated). Interactions were measured between ATP and protein, as well as between the CTH and remainder of the protein; the total energy shown is a sum of these two contributions. Units of binding energy are reported in kcal/mol. Data is an average of 3 replica 100 ns simulations per system.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="5" align="left"/>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left"/>
<td align="center">
<bold>&#x3b5;H</bold>
<bold>100</bold>:<bold>N&#x3b4;1/&#x3b5;H</bold>
<bold>117</bold>:<bold>N&#x3b5;2</bold>
</td>
<td align="center">
<bold>&#x3b5;H100</bold>:<bold>N&#x3b5;2/&#x3b5;H117</bold>:<bold>N&#x3b4;1</bold>
</td>
<td align="center">
<bold>&#x3b5;H100</bold>:<bold>dp/&#x3b5;H117</bold>:<bold>N&#x3b5;2</bold>
</td>
<td align="center">
<bold>&#x3b5;H100</bold>:<bold>dp/&#x3b5;H117</bold>:<bold>dp</bold>
</td>
</tr>
<tr>
<td align="left">No. H-bonds (protein-ATP)</td>
<td align="center">11.7 &#xb1; 0.1</td>
<td align="center">10.9 &#xb1; 0.2</td>
<td align="center">11.2 &#xb1; 0.1</td>
<td align="center">10.9 &#xb1; 0.1</td>
</tr>
<tr>
<td align="left">No. H-bonds (protein-CTH)</td>
<td align="center">6.4 &#xb1; 0.6</td>
<td align="center">6.6 &#xb1; 0.2</td>
<td align="center">6.6 &#xb1; 0.4</td>
<td align="center">5.7 &#xb1; 0.4</td>
</tr>
<tr>
<td align="left"/>
<td align="center">
<bold>&#x3b5;H100</bold>:<bold>N&#x3b4;1/&#x3b5;H117</bold>:<bold>N&#x3b5;2</bold>
</td>
<td align="center">
<bold>&#x3b5;H100</bold>:<bold>N&#x3b5;2/&#x3b5;H117</bold>:<bold>N&#x3b4;1</bold>
</td>
<td align="center">
<bold>&#x3b5;H100</bold>:<bold>dp/&#x3b5;H117</bold>:<bold>N&#x3b5;2</bold>
</td>
<td align="center">
<bold>&#x3b5;H100</bold>:<bold>dp/&#x3b5;H117</bold>:<bold>dp</bold>
</td>
</tr>
<tr>
<td align="left">E<sub>HB</sub> (H-bonds (protein-ATP))</td>
<td align="center">&#x2212;78.6 &#xb1; 0.7</td>
<td align="center">&#x2212;74.5 &#xb1; 0.8</td>
<td align="center">&#x2212;75.8 &#xb1; 1.6</td>
<td align="center">&#x2212;75.5 &#xb1; 0.7</td>
</tr>
<tr>
<td align="left">E<sub>HB</sub> (H-bonds (protein-CTH))</td>
<td align="center">&#x2212;35.0 &#xb1; 4.2</td>
<td align="center">&#x2212;37.1 &#xb1; 3.2</td>
<td align="center">&#x2212;37.3 &#xb1; 2.7</td>
<td align="center">&#x2212;30.8 &#xb1; 3.1</td>
</tr>
<tr>
<td align="left">E<sub>HB</sub> (total)</td>
<td align="center">&#x2212;113.6 &#xb1; 4.9</td>
<td align="center">&#x2212;111.6 &#xb1; 2.7</td>
<td align="center">&#x2212;113.1 &#xb1; 2.9</td>
<td align="center">&#x2212;106.2 &#xb1; 3.8</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-3">
<title>ATP binding affinity is dependent on the pH</title>
<p>To examine the ATP binding kinetics of the &#x3b5; subunit from the <italic>C. thermarum</italic> F<sub>1</sub>F<sub>o</sub> ATP synthase, we sub-cloned the wild-type (WT) &#x3b5; subunit from the plasmid pATPHis5 (<xref ref-type="bibr" rid="B47">McMillan et al., 2007</xref>) and the CTH mutant &#x3b5;6A (&#x3b5;R116A, &#x3b5;H117A, &#x3b5;K118A, &#x3b5;R119A, &#x3b5;R123A, and &#x3b5;R127A) from the plasmid pTrcF1e6A into the plasmid pET21. The &#x3b5;6A mutant was selected due to its ability to confer ATP hydrolytic activity on the WT enzyme which was previously incapable of ATP hydrolysis (<xref ref-type="bibr" rid="B36">Keis et al., 2006</xref>). A cysteine residue was engineered into position 109 (&#x3b5;K109C), where it can be labelled to detect ATP binding, but is physically distant enough from the ATP/Mg<sup>2&#x2b;</sup> binding site as to not influence binding. Overexpression and purification of both WT and &#x3b5;6A revealed a single band at approximately 14&#xa0;kDa (WT: <xref ref-type="fig" rid="F4">Figure 4A</xref>, Lane 2; &#x3b5;6A: Lane 5) similar to the expected size for an isolated &#x3b5; subunit from sequence data (<xref ref-type="bibr" rid="B14">de Jong et al., 2020</xref>). Labelling for ATP binding detection was achieved by specific attachment of cy3-maleimide modification of &#x3b5;C109 (WT: <xref ref-type="fig" rid="F4">Figure 4A</xref>, Lanes 3 and 4; &#x3b5;6A: Lane 6).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>ATP binding by the <italic>C. thermarum</italic> &#x3b5; subunit is regulated by pH. <bold>(A)</bold> SDS analysis of the &#x3b5; subunit. Lane 1, Precision Plus protein standards (Biorad); Lane 2, as-purified <italic>C. thermarum</italic> &#x3b5; subunit, Lanes 3 and 4, Cy3-labelled <italic>C. thermarum</italic> &#x025B; subunit visualized under either white light (Lane 3), or under a fluorescence emission filter at 590&#xa0;nm (Lane 4). Lanes 5 and 6, Cy3-labelled <italic>C. thermarum</italic> &#x3b5;6A mutant &#x3b5; subunit visualized under either white light (Lane 5), or under a fluorescence emission filter at 590&#xa0;nm (Lane 6). <bold>(B&#x2013;E)</bold>: ATP binding curves using .4&#xa0;&#x3bc;M Cy3-labelled <italic>C. thermarum</italic> &#x3b5; subunit with hyperbolic 1-site fitting in the presence of equimolar Mg<sup>2&#x2b;</sup> at physiological relevant bulk-phase cell cytoplasmic pH values: <bold>(B)</bold> pH 7.0; <bold>(C)</bold> pH 7.5; <bold>(D)</bold> pH 8.0; or <bold>(E)</bold> pH 8.5. All results shown are the product of 3 experimental replicates.</p>
</caption>
<graphic xlink:href="fmolb-10-1059673-g004.tif"/>
</fig>
<p>To examine the effect of changes in intracellular pH on ATP binding we measured the ATP binding affinity at a pH ranging from 7.0&#x2013;8.5, spanning the possible local and bulk cytoplasmic pH range (<xref ref-type="bibr" rid="B14">de Jong et al., 2020</xref>) across the entire physiological growth spectrum of <italic>C. thermarum</italic> (<xref ref-type="bibr" rid="B46">McMillan et al., 2009</xref>). Interestingly, a strong effect of pH on the ATP binding affinity was revealed in two distinct clusters either side of pH 7.75. At pH 7.0 and 7.5 the <italic>K</italic>
<sub>
<italic>d</italic>
</sub> values were 20.2 and 16.5&#xa0;mM respectively (<xref ref-type="fig" rid="F4">Figures 4B, C</xref>), which is similar to that reported for <italic>E. coli</italic> (<xref ref-type="bibr" rid="B71">Yagi et al., 2007</xref>). However, at pH 8.0 and 8.5 the <italic>K</italic>
<sub>
<italic>d</italic>
</sub> values were 4.9 and 3.4&#xa0;mM respectively (<xref ref-type="fig" rid="F4">Figures 4D, E</xref>), similar to that of <italic>B. subtilis</italic> (<xref ref-type="bibr" rid="B35">Kato-Yamada, 2005</xref>; <xref ref-type="bibr" rid="B42">Krah et al., 2021</xref>). In contrast, the &#x3b5;6A mutant did not bind any measurable ATP at any pH tested (<xref ref-type="fig" rid="F4">Figures 4B&#x2013;E</xref>). This confirms the ability of isolated <italic>C. thermarum</italic> &#x3b5; subunit to bind ATP and shows that the affinity for ATP is strongly pH-dependent. The lack of ATP binding by the &#x3b5;6A mutant implies that the ATP hydrolytic function that the &#x3b5;6A mutations confer upon the <italic>C. thermarum</italic> enzyme is due to lack of ability to bind ATP. However, when reflecting upon this striking pH-dependent binding pattern, it is readily identified that the affinity is highest at the intracellular pH at which <italic>C. thermarum</italic> growth is fastest and it has the highest ATP synthesis ability; the optimal pH range is found between 9.0&#x2013;9.5 (<xref ref-type="bibr" rid="B46">McMillan et al., 2009</xref>). It is also at this pH that the intracellular ATP concentration is highest, at 4&#xa0;mM (<xref ref-type="bibr" rid="B53">Olsson et al., 2003</xref>), within the <italic>K</italic>
<sub>
<italic>d</italic>
</sub> range of the &#x3b5; subunit. Yet when the extracellular pH drops to more acidic values of 8.5&#x2013;7.5, the intracellular ATP drops with it to &#x223c;2&#xa0;mM, far below the <italic>K</italic>
<sub>
<italic>d</italic>
</sub> range of the &#x3b5; subunit (<xref ref-type="bibr" rid="B53">Olsson et al., 2003</xref>). When reflecting upon the possible conformations of the &#x3b5; subunit, it would be in the down-state precisely when it is synthesizing ATP and in the up-state when (if it could, but it does not) the organism intracellular pH decreases below optimal levels for cell function. This is precisely the opposite of what has been proposed for the &#x3b5; subunit mode of action in <italic>E. coli</italic> and <italic>Bacillus</italic> PS3 using <italic>in vitro</italic> assays.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s3">
<title>Discussion</title>
<p>
<italic>C. thermarum</italic> grows on various fermentable carbon sources as a facultative alkaliphile (pH 7.0&#x2013;9.5), with an optimal growth rate at pH 9.5. However, on substrates such as malate and succinate, <italic>C. thermarum</italic> is an obligate alkaliphile, highly optimized for growth between pH 8.5 and 10.0 (<xref ref-type="bibr" rid="B46">McMillan et al., 2009</xref>). <italic>C. thermarum</italic> is unique, in that it is the only F<sub>1</sub>F<sub>o</sub> ATP synthase to be described as mono-directional, only performing ATP synthesis unless chemically induced to perform the reverse reaction [ATP hydrolysis (<xref ref-type="bibr" rid="B47">McMillan et al., 2007</xref>)]. This is why &#x3b5; subunit-mediated inhibition of ATP hydrolysis is such a fascinating aspect to study in this organism.</p>
<p>In this article, we present the first descriptive study that ascertains that ATP binding affinity of the &#x3b5; subunit from the <italic>C. thermarum</italic> F<sub>1</sub>F<sub>o</sub> ATP synthase is pH dependent; the binding affinity reduces remarkably at pH values less the 8.0. We propose this is due to its unique histidine residues helping to shape the architecture of the binding site. While these residues may be unique to <italic>C. thermarum</italic>, the tuning of ATP/Mg<sup>2&#x2b;</sup> affinity using second shell residues may indeed be the key behind unravelling the mystery of &#x3b5; subunit-mediated regulation of ATP hydrolysis in the most import enzyme for energy generation in bacteria. Firstly, we consider how this might work from a chemical mechanism point of view, then from a biological impact aspect.</p>
<p>MD simulations indicate that this is likely caused by a protonation change of the histidine residue &#x3b5;H100 and &#x3b5;H117. Firstly, we consider the order of binding to the apo &#x3b5; subunit.</p>
<p>Considering a solution phase pK<sub>a</sub> of 6.0&#x2013;6.5 for the imidazole group of a histidine residue (<xref ref-type="bibr" rid="B65">Tanokura et al., 1976</xref>) (<xref ref-type="fig" rid="F5">Figures 5A, B</xref>), this structural feature may have crucial mechanistic influences derived by the environmental conditions. It is also noteworthy that this pK<sub>a</sub> is only truly accurate for an amino acid in solution, in chemical isolation (an intrinsic &#x201c;bulk-phase&#x201d; pK<sub>a</sub>), and that the chemistry of the local structural environment, can shift; this is where H117 may also play a role. Since the histidine imidazole ring pK<sub>a</sub> is a distribution between 1&#x2013;0 net charge (between perforated green and blue lines, <xref ref-type="fig" rid="F5">Figure 5B</xref>), it is reasonable to ascertain that some of the population of the &#x3b5; subunit remains protonated up to just below pH 7.8, therefore reducing ATP binding affinity (<xref ref-type="fig" rid="F5">Figure 5</xref>). It is indeed striking that the binding affinity changes 5.9-fold between a slight positive charge at pH 7.0 to a slight negative charge at pH 8.5.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Modeled Histidine pKa shifts vs. pH. Histidine as a soluble amino acid was modeled vs pH using CurTiPot (<xref ref-type="bibr" rid="B40">Krah and Takada, 2016</xref>). <bold>(A)</bold> Lewis model of histidine chemistry showing gain and loss of a proton. <bold>(B)</bold> Model of histidine pK<sub>a</sub> shift. Black dots indicate the pK<sub>a</sub> values for histidine in solution. Perforated coloured lines indicate the pH values over which the histidine imidazole ring pK<sub>a</sub> has a distribution between 1&#x2013;0 net charge. pH values of 7.0 and 8.5 are indicated by the green and blue lines respectively. Perforated grey lines indicate the pH window of the functional group pK<sub>a</sub>.</p>
</caption>
<graphic xlink:href="fmolb-10-1059673-g005.tif"/>
</fig>
<p>To add further credence to this argument, &#x3b5;H100 is shown to an excellent resolution in the crystal structure of (<xref ref-type="bibr" rid="B21">Ferguson et al., 2016</xref>) for this type of analysis (2.6&#xa0;&#xc5;) to coordinate <italic>via</italic> structurally bound H<sub>2</sub>O to a Mg<sup>2&#x2b;</sup> ion associating with ATP. This chemistry is not unlike that which is routinely utilized for purification in which a poly-histidine tag has affinity to Ni<sup>2&#x2b;</sup> or Co<sup>2&#x2b;</sup>&#x2014;as per manufacturers instruction. Strikingly, binding is well described to be most efficient at pH 8.0 and above where a slight negative charge is dominant (i.e., the histidine is neutral).</p>
<p>When considering physiology, the obligate aerobic alkaliphily of <italic>C. thermarum</italic> is completely coupled to aerobic cellular respiration. Oxygen consumption, succinate/malate transport, and ATP synthesis rates are all optimal at an external pH of 9.0&#x2013;9.5 (<xref ref-type="bibr" rid="B46">McMillan et al., 2009</xref>). At the same time, constant internal pH is maintained between 7.8 and 8.5 (<xref ref-type="bibr" rid="B53">Olsson et al., 2003</xref>). Most pertinent to this study is that the cell ATP levels are highest when <italic>C. thermarum</italic> is growing at pH 9.0&#x2013;9.5, and internal pH is 8.5 - at &#x223c;4&#xa0;mM. This is intriguingly close to the ATP/Mg<sup>2&#x2b;</sup> K<sub>d</sub> values of the <italic>C. thermarum</italic> &#x3b5; subunit we report here, suggesting the physiological relevance of the findings. Strikingly, when <italic>C. thermarum</italic> is grown at lower pH values than 9.0 the ATP concentration in the cell halves down to roughly &#x223c;2mM, the intracellular pH drops to 7.8 (<xref ref-type="bibr" rid="B53">Olsson et al., 2003</xref>), and the affinity of the &#x3b5; subunit for ATP decreases by &#x223c;40% (see <xref ref-type="fig" rid="F4">Figure 4D</xref>). This is very much in line with ATP synthesis experiments; due to the pK<sub>a</sub>-dictated proton capture by the <italic>a</italic> subunit, when extracelluar pH is below 8.5, ATP synthesis is drastically reduced (<xref ref-type="bibr" rid="B47">McMillan et al., 2007</xref>).</p>
<p>Clearly this is for a purpose&#x2013;could the down-state of the &#x3b5; subunit have a role in optimizing ATP synthesis in <italic>C. thermarum</italic>? And the up-state be a &#x201c;molecular hand-break&#x201d; ceasing all function? This seems in total contradiction to how the &#x3b5; subunit in <italic>E. coli</italic> has been proposed to function. Yet we clearly demonstrate that when the internal pH drops below the physiological cytoplasmic pH of 7.8 it would appear ATP would not be bound to &#x3b5; subunit, which would be in the extended up-state, inhibiting ATP hydrolysis/proton extrusion exactly when the cell would need it to extrude protons. Conversely, we observe higher affinity at the physiological cytoplasmic pH of 8.5, where the epsilon subunit would be in the ATP-bound down-state. This is exactly where one would expect that the up-state is needed to prevent wasteful ATP hydrolysis and enhance synthesis, if this was indeed its mechanism. The natural assumption at face value is that the &#x3b5; subunit has no role in regulating this enzyme, as proposed by Ferguson <italic>et al</italic> (<xref ref-type="bibr" rid="B21">Ferguson et al., 2016</xref>) who suggested that ADP/Mg<sup>2&#x2b;</sup> is the sole regulatory element. Yet this assumption dismisses a prior study that clearly demonstrates that deletion of the C-terminal helix of the <italic>C. thermarum</italic> &#x3b5; subunit results in &#x201c;unlocking&#x201d; of <italic>in vitro</italic> ATP hydrolytic activity in F<sub>1</sub> preparations (<xref ref-type="bibr" rid="B36">Keis et al., 2006</xref>). We note that over the pH range examined in our study, the ATP hydrolysis rates in isolated F<sub>1</sub>F<sub>o</sub> ATP synthase are actually higher at pH 7.5 than pH 8.0 (<xref ref-type="bibr" rid="B47">McMillan et al., 2007</xref>). However; a) the enzyme does not natively hydrolyse and b) LDAO is confounding such a comparison. The key to this apparent conundrum may be in the role of magnesium in this enzyme and is a subject for further studies.</p>
</sec>
<sec sec-type="materials|methods" id="s4">
<title>Materials and methods</title>
<sec id="s4-1">
<title>Molecular dynamics simulations and analysis</title>
<p>MD simulations were carried out using the &#x3b5; subunit (chain H, PDB ID: 5HKK) from the <italic>C. thermarum</italic> TA2.A1 F<sub>1</sub>F<sub>o</sub> structure and the ligands bound to the protein (ATP, Mg<sup>2&#x2b;</sup> and four water molecules) (<xref ref-type="bibr" rid="B21">Ferguson et al., 2016</xref>). To predict the protonation states of titratable residues, we applied the H&#x2b;&#x2b; webserver (<xref ref-type="bibr" rid="B3">Anandakrishnan et al., 2012</xref>), except for &#x3b5;H100 and &#x3b5;H117. Because &#x3b5;H100 is located near the ATP binding site and &#x3b5;H117 is interacting with this residue, we set up four different protonation and thus coordination states (&#x3b5;H100N&#x3b4;1/&#x3b5;H117N&#x3b5;2, &#x3b5;H100N&#x3b5;2/&#x3b5;H117N&#x3b4;1 and &#x3b5;H100dp/&#x3b5;H117N&#x3b5;2, &#x3b5;H100dp/&#x3b5;H117dp). The protein was solvated and three additional Mg<sup>2&#x2b;</sup> ions were added, as described previously (<xref ref-type="bibr" rid="B40">Krah and Takada, 2016</xref>). Counter ions (Cl<sup>&#x2212;</sup>) were also added to neutralize the simulation systems. To obtain sufficient sampling we carried out three independent simulations of each &#x3b5;H100/&#x3b5;H117 protonation state. Each system was equilibrated for 4&#xa0;ns, gradually releasing the strength of position restraints applied to the protein every 1&#xa0;ns, followed by 100 ns of unrestrained production runs.</p>
<p>To carry out the simulations, we used the GROMACS (v. 5.1.2) program suite (<xref ref-type="bibr" rid="B1">Abraham et al., 2015</xref>), applying the AMBER-ILDN force field (<xref ref-type="bibr" rid="B13">Cornell et al., 1995</xref>; <xref ref-type="bibr" rid="B66">Wang et al., 2000</xref>; <xref ref-type="bibr" rid="B49">Meagher et al., 2003</xref>; <xref ref-type="bibr" rid="B27">Hornak et al., 2006</xref>; <xref ref-type="bibr" rid="B45">Lindorff-Larsen et al., 2010</xref>) as implemented (<xref ref-type="bibr" rid="B62">Sorin and Pande, 2005</xref>) in GROMACS. We used Mg<sup>2&#x2b;</sup> ion parameters (<xref ref-type="bibr" rid="B4">&#x226;qvist, 1990</xref>) as described previously. Pressure and temperature were kept constant at 1&#xa0;bar and 300&#xa0;K, utilizing the Parinello-Rahman barostat (<xref ref-type="bibr" rid="B54">Parrinello and Rahman, 1981</xref>) and v-rescale thermostat (<xref ref-type="bibr" rid="B8">Bussi et al., 2007</xref>), respectively. We applied an integration time step of 2&#xa0;fs. Electrostatic interactions were calculated using the Particle Mesh Ewald (PME) method with a real-space cut-off of 12&#xa0;&#xc5;. Calculations of the van der Waals interactions was carried out using the same cut-off. Periodic boundary conditions were applied in all directions.</p>
<p>We estimated the ligand binding enthalpy for the contracted down state using the method introduced by <xref ref-type="bibr" rid="B19">Espinosa et al. (1998)</xref>. The analysis includes protein-nucleotide and protein-protein interactions, reflecting the hydrogen bonds between the CTD (residues 112&#x2013;134), which undergoes the conformational change, and the rest of the protein. The hydrogen&#x2013;acceptor distance was set to a maximum of 2.7&#xa0;&#xc5;, and the associated angle to 30&#xb0;. Molecular structures were visualized using VMD (<xref ref-type="bibr" rid="B28">Humphrey et al., 1996</xref>) and the sequence alignment in <xref ref-type="sec" rid="s10">Supplementary Figure S1</xref> was done with Jalview (<xref ref-type="bibr" rid="B67">Waterhouse et al., 2009</xref>).</p>
</sec>
<sec id="s4-2">
<title>Cloning of the <italic>C. thermarum</italic> TA2.A1 wildtype &#x3b5; subunit and &#x3b5;6A mutant</title>
<p>Wildtype &#x3b5; subunit and &#x3b5;6A mutant &#x3b5; subunit (&#x3b5;R116A, &#x3b5;H117A, &#x3b5;K118A, &#x3b5;R119A, &#x3b5;R123A, and &#x3b5;R127A) from the <italic>C. thermarum</italic> TA2.A1 F<sub>1</sub>F<sub>o</sub> ATP synthase (henceforth referred to as &#x2018;WT&#x3b5; and &#x3b5;6A subunits&#x2019;) were subcloned from pATPHis5 (<xref ref-type="bibr" rid="B47">McMillan et al., 2007</xref>), pTrcF1e6A (<xref ref-type="bibr" rid="B36">Keis et al., 2006</xref>) by polymerase chain reactions (PCR). During PCR <italic>Hin</italic>dIII and <italic>Nde</italic>I sites were introduced with primers TA2_Eps_Fw and TA2_Eps_Rv, (see Table S1). The PCR reaction mixture contained Q5<sup>&#xae;</sup> Hot Start High-Fidelity 2X Master Mix (New England Biolabs), 10 p.m. of each primer and 10&#xa0;ng DNA. Amplification was performed in a Biometra TAdvanced PCR machine (Analytik Jena), using the following program: 30&#xa0;s 98 &#xb0;C, 30x (5&#xa0;s 98 &#xb0;C, 30&#xa0;s. 72 &#xb0;C), 30&#xa0;s. 72 &#xb0;C. The 1.4&#xa0;kb PCR products were cleaned using the Monarch<sup>&#xae;</sup> PCR and DNA Cleanup Kit (New England Biolabs) and digested with <italic>Hin</italic>dIII, <italic>Nde</italic>I and <italic>Dpn</italic>I restriction enzymes (New England Biolabs). We then digested 1&#xa0;&#xb5;g plasmid pET21-BsF1epsilonQ107CE102A (<xref ref-type="bibr" rid="B42">Krah et al., 2021</xref>) DNA with 1U of both <italic>Nde</italic>I and <italic>Hin</italic>dIII in CutSmart<sup>&#xae;</sup> Buffer (New England Biolabs). Digested inserts and plasmid backbone were separated from unwanted DNA fragments using a 1% agarose gel, and the desired fragments purified from the gel using a gel extraction kit (Qiagen). The plasmid backbone (&#x223c;200&#xa0;ng) and either insert (&#x223c;100&#xa0;ng WT &#x3b5; or &#x3b5;6A mutant) were then ligated together with T4 DNA ligase and T4 DNA ligase buffer (New England Biolabs) for 1&#xa0;h at room temperature and then inactivated for 10&#xa0;min at 65 &#xb0;C. 1 &#xb5;L of ligation mixture was transformed to chemical competent <italic>E. coli</italic> DH5&#x3b1; strains and plated onto LB-agar plates containing .1&#xa0;g/L ampicillin. Colonies containing the insert were grown in 5&#xa0;mL &#x3b5;LB medium containing .1&#xa0;g/L ampicillin and plasmid was extracted from these cultures. The plasmids were sent to Baseclear (Leiden) for sequencing using the T7 and T7-R primers for verification. The new plasmids containing either WT&#x3b5; and &#x3b5;6A subunits are named pET21-CthF1&#x3b5; and pET21-CthF1&#x3b5;6A, respectively.</p>
</sec>
<sec id="s4-3">
<title>Side directed mutagenesis</title>
<p>For introduction of the cysteine point mutation to enable cy3 labelling of the WT&#x3b5; and &#x3b5;6A subunits, the Quikchange procedure was followed using the TA2_K109C_Fw and TA2_K109C_Rv primers (see Table S1) targeting the sequence of the WT&#x3b5; and &#x3b5;6A subunits in pET21-CthF1&#x3b5; and pET21-CthF1&#x3b5;6A resepctively. The PCR mixture of contained 10&#xa0;pmol of each primer, 10&#xa0;ng &#x3bc;L either pET21-CthF1&#x3b5; or pET21-CthF1&#x3b5;6A plasmid DNA and Q5<sup>&#xae;</sup> Hot Start High-Fidelity 2X Master Mix. The amplification was performed using the following program: 30&#xa0;s 98 &#xb0;C, 30x (20&#xa0;s 98 &#xb0;C, 50&#xa0;s 60 &#xb0;C and 420&#xa0;s 72 &#xb0;C), 30&#xa0;s 72 &#xb0;C. 5 &#xb5;L of PCR mixture was removed and 0.5U of <italic>Dpn</italic>I and 4&#xa0;&#xb5;L of CutSmart<sup>&#xae;</sup> Buffer was added. After 2&#xa0;h of incubation at 37&#xb0;C the sample was deactivated for 15&#xa0;min at 65&#xb0;C. 1 &#xb5;L of mixture was transformed to chemical competent <italic>E. coli</italic> DH5&#x3b1; strains and plated onto LB-agar plates containing .1&#xa0;g/L ampicillin. A colony PCR was performed (using the cloning primers from before) to verify the presence of the insert. The PCR product was loaded on a 1% agarose gel containing .01% SYBR safe. Colonies containing the correct plasmid were grown in 5&#xa0;mL LB medium containing 0.1&#xa0;g/L ampicillin and plasmid was extracted from these cultures. The plasmid was sent to Baseclear (Leiden) for point mutation verification using the T7 and T7-R primers for verification. The new plasmids containing either the wildtype &#x3b5; or &#x3b5;6A mutant subunits of <italic>C. thermarum</italic> TA2.A1 F<sub>1</sub>F<sub>o</sub> ATP synthase with the K109C point mutation are named pET21-CthF1&#x3b5;,K109C or pET21-CthF1&#x3b5;6A,K109C plasmid DNA. From here on referral to <italic>C. thermarum</italic> TA2.A1 WT&#x3b5; and &#x3b5;6A subunits will be &#x3b5;K109C mutants.</p>
</sec>
<sec id="s4-4">
<title>Overexpression and purification</title>
<p>Overexpression of <italic>C. thermarum</italic> TA2.A1 WT&#x3b5; and &#x3b5;6A subunits was conducted in a method based on Krah et al., 2021 (<xref ref-type="bibr" rid="B42">Krah et al., 2021</xref>). <italic>Escherichia coli</italic> BL21 (DE3) cells containing either pET21-CthF1&#x3b5;,K109C or pET21-CthF1&#x3b5;6A,K109C were grown on 2x YT medium with .1&#xa0;g/L ampicillin and 2&#xa0;g/L glucose at 37 &#xb0;C and 180&#xa0;rpm. When an OD<sub>600</sub> value of &#x3e;.5 was reached overexpression was induced by the addition of 0.1&#xa0;mM filter-sterilized 0.2&#xa0;mM isopropyl &#x3b2;-D-1-thiogalactopyranoside (IPTG, Thermo Fisher Scientific). The cultures were then cultivated for a further 3&#xa0;h at 37&#xb0;C and 180&#xa0;rpm after which the cells were harvested by centrifugation at 9,000 &#xd7; <italic>g</italic> for 10&#xa0;min and cell pellets resuspended in 50&#xa0;mM Tris/HCl (pH 7.5), 1&#xa0;mM MgCl<sub>2</sub>. A cocktail of fresh .1&#xa0;mM PMSF (phenylmethylsulfonyl fluoride, Sigma Aldrich), 0.1&#xa0;mg/mL deoxyribonuclease I (Sigma Aldrich), and 1&#xa0;mM fresh DTT (Sigma Aldrich) was added immediately before lysis by two passages through a cell disruptor at 1.8&#xa0;kbar (Constant Systems). The lysate was centrifuged at 9,000 &#xd7; <italic>g</italic> for 10&#xa0;min. The &#x3b5; subunit was in inclusion bodies, so was resuspended in 20&#xa0;mL 50&#xa0;mM Tris/HCl (pH 7.5), 2&#xa0;mM EDTA and 1&#xa0;mM fresh DTT (buffer 1). The resulting pellet was resuspended and centrifuged at 9,000 &#xd7; <italic>g</italic> for 10&#xa0;min yielding soluble &#x3b5; subunit in the supernatant. This wash step was repeated 5 times before the supernatant was concentrated with Amicon Ultra 3K filters (Merck) to a final volume of 200&#xa0;&#xb5;L. The &#x3b5; subunit was then further purified with a Superdex 200 Increase 10/300&#xa0;GL (GE Healthcare Life Sciences) size exclusion chromatography column with an NGC System (Biorad). The column was equilibrated with 10&#xa0;mM Tris/HCl (pH 7.5), 2&#xa0;mM EDTA and 140&#xa0;mM NaCl (buffer 2) before sample was injected in the column. Thereafter, the column was eluted with 1.25 CV of buffer 2 supplemented with 1&#xa0;mM DTT. Eluent fractions containing &#x3b5; subunit were concentrated, frozen with liquid nitrogen and stored at &#x2212;80&#xb0;C.</p>
</sec>
<sec id="s4-5">
<title>Protein determination and SDS-PAGE</title>
<p>Protein concentration was determined using the Bicinchoninic acid assay (Sigma) according to the manufacturer&#x2019;s instructions using bovine serum albumin as a standard. Protein samples were analyzed with SDS-PAGE using 4%&#x2013;12% Criterion&#x2122; XT Bis-Tris Protein Gel then stained with SimplyBlue&#x2122; SafeStain (Invitrogen).</p>
</sec>
<sec id="s4-6">
<title>Fluorescent labeling of &#x3b5; subunits</title>
<p>The <italic>C. thermarum</italic> &#x3b5; subunits were labeled as decribed previously in Krah et al., 2021 (<xref ref-type="bibr" rid="B42">Krah et al., 2021</xref>). Both &#x3b5; subunit samples were desalted with a PD Minitrap&#x2122; G-25 (GE Healthcare) equilibrated with 50&#xa0;mM HEPES-NaOH (pH 6.5) and 100&#xa0;mM NaCl. TCEP was added in a 5:1 protein molar ratio to the &#x3b5; subunit samples and they were incubated for 2&#xa0;h at 25&#xb0;C. Cy3 maleimide in dimethylsulfoxide (DMSO) was then added in a 5:1 dye to protein molar ratio and the mixture incubated for a further 2&#xa0;h at 25&#xb0;C. temperature. Excess dye was removed with the same centrifuge column equilibrated with 50&#xa0;mM HEPES-KOH (pH 7.5), 100&#xa0;mM KCl, 10&#xa0;mM MgCl<sub>2</sub>. Labeling was subsequently analyzed by SDS-PAGE and Cy3 maleimide labeling detected by imaging the unstained gel with an Amersham Typhoon Imaging System (GE Healthcare). Gels were subsequently stained with SimplyBlue&#x2122; SafeStain (Invitrogen).</p>
</sec>
<sec id="s4-7">
<title>ATP binding assays</title>
<p>ATP binding was detected <italic>via</italic> fluorescence using a Synergy 2 Microplate Reader (Biotek). Cy3 maleimide fluorescence was measured at 22&#xb0;C during ATP binding to either <italic>C. thermarum</italic> &#x3b5; subunit or the &#x3b5;6A variant, in a system with an excitation filter of 530&#xa0;nm (25&#xa0;nm bandwidth) and an emission filter at 590&#xa0;nm (35&#xa0;nm bandwidth). Each reaction mixture contained 800&#xa0;nM labeled &#x3b5; subunit in 50&#xa0;mM MOPS-Tris buffer (either pH 7.0, 7.5, 8.0, 8.5), 100&#xa0;mM KCl and equimolar MgCl<sub>2</sub>:ATP in a final volume of 195&#xa0;&#xb5;L. Fluorescence was measured for 30&#x2013;60&#xa0;s at 1.66&#xa0;Hz followed by an injection of concentrated 5&#xa0;&#xb5;L ATP in the same buffer. This resulted in a final labeled &#x3b5; subunit concentration of 400&#xa0;nM. Fluorescence was measured over the course of the experimental observation window for 6&#xa0;min at 1.66&#xa0;Hz.</p>
</sec>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>AK and DM conceptualized the study. AK performed MD simulations. AK and PB contributed to analysis and interpretation of MD simulations. TV, SJ, and DM constructed mutants. TV, SJ, and JC contributed to purification and binding studies. DM contributed to the binding analysis. AK and DGGM wrote the initial draft of the manuscript. All authors contributed to and approved the final draft of the manuscript.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>TV, SJ, and DM were supported by a TU Delft Startup grant; SJ was supported by the SIAM (ERA-IB-15-110); AK and PB were supported by BII core funds; computational resources were provided by the KIAS Center for Advanced Computation.</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s10">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmolb.2023.1059673/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmolb.2023.1059673/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table1.DOCX" id="SM1" mimetype="application/DOCX" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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