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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Microbiol.</journal-id>
<journal-title>Frontiers in Microbiology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Microbiol.</abbrev-journal-title>
<issn pub-type="epub">1664-302X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmicb.2021.759359</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Microbiology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Pyrophosphate and Irreversibility in Evolution, or why PP<sub>i</sub> Is Not an Energy Currency and why Nature Chose Triphosphates</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wimmer</surname>
<given-names>Jessica L. E.</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="c001" ref-type="corresp"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1431114/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Kleinermanns</surname>
<given-names>Karl</given-names>
</name>
<xref rid="aff2" ref-type="aff"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Martin</surname>
<given-names>William F.</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="c002" ref-type="corresp"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/139055/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Institute for Molecular Evolution, Department of Biology, Heinrich Heine University Duesseldorf</institution>, <addr-line>Duesseldorf</addr-line>, <country>Germany</country>
</aff>
<aff id="aff2"><sup>2</sup><institution>Institute for Physical Chemistry, Department of Chemistry, Heinrich Heine University Duesseldorf</institution>, <addr-line>Duesseldorf</addr-line>, <country>Germany</country>
</aff>
<author-notes>
<fn id="fn1" fn-type="edited-by">
<p>Edited by: Christiane Dahl, University of Bonn, Germany</p>
</fn>
<fn id="fn2" fn-type="edited-by">
<p>Reviewed by: Jose Roman Perez-Castineira, Sevilla University, Spain; Adrian Goldman, University of Helsinki, Finland</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Jessica L. E. Wimmer, <email>jessica.wimmer@hhu.de</email>
</corresp>
<corresp id="c002">William F. Martin, <email>bill@hhu.de</email>
</corresp>
<fn id="fn3" fn-type="other">
<p>This article was submitted to Microbial Physiology and Metabolism, a section of the journal Frontiers in Microbiology</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>06</day>
<month>10</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>12</volume>
<elocation-id>759359</elocation-id>
<history>
<date date-type="received">
<day>16</day>
<month>08</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>09</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2021 Wimmer, Kleinermanns and Martin.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Wimmer, Kleinermanns and Martin</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>The possible evolutionary significance of pyrophosphate (PP<sub>i</sub>) has been discussed since the early 1960s. Lipmann suggested that PP<sub>i</sub> could have been an ancient currency or a possible environmental source of metabolic energy at origins, while Kornberg proposed that PP<sub>i</sub> vectorializes metabolism because ubiquitous pyrophosphatases render PP<sub>i</sub> forming reactions kinetically irreversible. To test those ideas, we investigated the reactions that consume phosphoanhydride bonds among the 402 reactions of the universal biosynthetic core that generates amino acids, nucleotides, and cofactors from H<sub>2</sub>, CO<sub>2</sub>, and NH<sub>3</sub>. We find that 36% of the core&#x2019;s phosphoanhydride hydrolyzing reactions generate PP<sub>i</sub>, while no reactions use PP<sub>i</sub> as an energy currency. The polymerization reactions that generate ~80% of cell mass &#x2013; protein, RNA, and DNA synthesis &#x2013; all generate PP<sub>i</sub>, while none use PP<sub>i</sub> as an energy source. In typical prokaryotic cells, aminoacyl tRNA synthetases (AARS) underlie ~80% of PP<sub>i</sub> production. We show that the irreversibility of the AARS reaction is a kinetic, not a thermodynamic effect. The data indicate that PP<sub>i</sub> is not an ancient energy currency and probably never was. Instead, PP<sub>i</sub> hydrolysis is an ancient mechanism that imparts irreversibility, as Kornberg suggested, functioning like a ratchet&#x2019;s pawl to vectorialize the life process toward growth. The two anhydride bonds in nucleoside triphosphates offer ATP-cleaving enzymes an option to impart either thermodynamic control (P<sub>i</sub> formation) or kinetic control (PP<sub>i</sub> formation) upon reactions. This dual capacity explains why nature chose the triphosphate moiety of ATP as biochemistry&#x2019;s universal energy currency.</p>
</abstract>
<kwd-group>
<kwd>energetics</kwd>
<kwd>bioenergetics</kwd>
<kwd>chemical evolution</kwd>
<kwd>origin of life</kwd>
<kwd>early evolution</kwd>
<kwd>metabolism</kwd>
<kwd>kinetics</kwd>
<kwd>thermodynamics</kwd>
</kwd-group>
<contract-num rid="cn2">Ma 1426/21-1</contract-num>
<contract-num rid="cn3">VW 96742</contract-num>
<contract-sponsor id="cn1">European Research Council<named-content content-type="fundref-id">10.13039/501100000781</named-content>
</contract-sponsor>
<contract-sponsor id="cn2">Deutsche Forschungsgemeinschaft<named-content content-type="fundref-id">10.13039/501100001659</named-content>
</contract-sponsor>
<contract-sponsor id="cn3">Volkswagen Foundation<named-content content-type="fundref-id">10.13039/501100001663</named-content>
</contract-sponsor>
<counts>
<fig-count count="2"/>
<table-count count="1"/>
<equation-count count="0"/>
<ref-count count="81"/>
<page-count count="12"/>
<word-count count="10147"/>
</counts>
</article-meta>
</front>
<body>
<sec id="sec1" sec-type="intro">
<title>Introduction</title>
<p>Starting in the 1960s, thoughts on the possible evolutionary significance of inorganic pyrophosphate (PP<sub>i</sub>) have centered around two main concepts: irreversibility and energy. Kornberg, who worked on nucleic acid polymerization, recognized that PP<sub>i</sub> producing biochemical steps confer the property of irreversibility upon reactions under physiological conditions because ubiquitous pyrophosphatases constantly degrade PP<sub>i</sub> in the cytosol of cells (<xref ref-type="bibr" rid="ref28">Kornberg, 1962</xref>). His reasoning was straightforward: By degrading PP<sub>i</sub>, a substrate required for the enzymatic back reaction of the PP<sub>i</sub> producing step, the rate of the back reaction effectively approaches zero. In this way, pyrophosphatases would render PP<sub>i</sub> producing reactions irreversible by means of kinetics, rather than thermodynamics. Though Kornberg&#x2019;s mechanism of irreversibility was later called into question because PP<sub>i</sub> concentrations in exponentially growing cells were reported to be too high for this principle to work (<xref ref-type="bibr" rid="ref30">Kukko and Heinonen, 1982</xref>), as soon as cells leave the exponential growth phase, Kornberg&#x2019;s principle immediately applies, as we will see during the course of this paper, because PP<sub>i</sub> production is strictly linked to growth, while PP<sub>i</sub> hydrolysis is not. Kornberg&#x2019;s list of such irreversible PP<sub>i</sub> producing reactions included nucleic acid polymerization, translation, and cofactor biosynthetic routes (<xref ref-type="bibr" rid="ref28">Kornberg, 1962</xref>) and this function, irreversibility, was seen as harboring the significance of PP<sub>i</sub>.</p>
<p>Lipmann, who worked on high energy bonds, suggested that PP<sub>i</sub> could have served as a possible energy currency in primordial metabolism, and that modern PP<sub>i</sub>-dependent enzymes represent fossils from a time in which prebiotic metabolism extracted energy from environmentally available phosphate minerals (<xref ref-type="bibr" rid="ref33">Lipmann, 1965</xref>). In that view, the evolutionary significance of PP<sub>i</sub> is sought in its possible role as a source of biochemical energy in prebiotic chemical reactions resembling those of physiology. Aspects of both Kornberg&#x2019;s and Lipmann&#x2019;s views are germane to Schramm&#x2019;s proposal that environmental polyphosphates could have powered early nucleic acid synthesis (<xref ref-type="bibr" rid="ref65">Schramm et al., 1962</xref>).</p>
<p>In 1966, Baltscheffsky reported a membrane-associated pyrophosphatase (mPPase) that reversibly couples proton translocation to PP<sub>i</sub> hydrolysis (<xref ref-type="bibr" rid="ref3">Baltscheffsky et al., 1966</xref>), thereby linking PP<sub>i</sub> to Mitchell&#x2019;s then new chemiosmotic theory of ATP synthesis involving ion gradients and electron transfer chains (<xref ref-type="bibr" rid="ref43">Mitchell, 1961</xref>). That finding, together with Reeves&#x2019; report of a PP<sub>i</sub>-dependent glycolytic enzyme (<xref ref-type="bibr" rid="ref55">Reeves, 1968</xref>), now called pyruvate orthophosphate dikinase, seemed to support an ancient bioenergetic role behind the possible evolutionary significance of PP<sub>i</sub>. Based on such findings, the view that PP<sub>i</sub>&#x2019;s evolutionary significance resides in primordial energetics established a long tradition that is still widely embraced (<xref ref-type="bibr" rid="ref9">de Duve, 1991</xref>; <xref ref-type="bibr" rid="ref60">Russell and Hall, 1997</xref>; <xref ref-type="bibr" rid="ref61">Russell et al., 2013</xref>, <xref ref-type="bibr" rid="ref58">2014</xref>; <xref ref-type="bibr" rid="ref77">Wang et al., 2019</xref>; <xref ref-type="bibr" rid="ref52">Piast et al., 2020</xref>) though seldom critically inspected (<xref ref-type="bibr" rid="ref36">Martin, 2020</xref>).</p>
<p>Comparatively few enzymatic reactions involve PP<sub>i</sub>. <xref ref-type="bibr" rid="ref28">Kornberg (1962)</xref> listed 35 enzymatic reactions that release PP<sub>i</sub> in the physiological reaction. <xref ref-type="bibr" rid="ref19">Heinonen (2001)</xref> listed 173 PP<sub>i</sub> producing reactions. By contrast, Kyoto Encyclopedia of Genes and Genomes (KEGG) list 194 reactions among prokaryotes that involve ATP. Since the book of <xref ref-type="bibr" rid="ref19">Heinonen (2001)</xref>, some new PP<sub>i</sub> producing reactions have been reported (<xref ref-type="bibr" rid="ref45">Nagata et al., 2018</xref>), yet the precise roles of PP<sub>i</sub> in physiology and evolution are still discussed (<xref ref-type="bibr" rid="ref19">Heinonen, 2001</xref>; <xref ref-type="bibr" rid="ref50">P&#x00E9;rez-Casti&#x00F1;eira et al., 2021</xref>). Soluble pyrophosphatases (sPPases) are ubiquitous in distribution (<xref ref-type="bibr" rid="ref31">Lahti, 1983</xref>). Ion-pumping mPPases are found in various microbes and plants (<xref ref-type="bibr" rid="ref67">Serrano et al., 2007</xref>), and PP<sub>i</sub>-dependent glycolytic enzymes occur as alternatives of ATP-dependent forms, at the phosphofructokinase (PFK) and pyruvate kinase (PYK) steps (<xref ref-type="bibr" rid="ref19">Heinonen, 2001</xref>; <xref ref-type="bibr" rid="ref68">Siebers and Sch&#x00F6;nheit, 2005</xref>; <xref ref-type="bibr" rid="ref5">Br&#x00E4;sen et al., 2014</xref>; <xref ref-type="bibr" rid="ref21">Holwerda et al., 2020</xref>). Though PP<sub>i-</sub>dependent glycolysis is often interpreted as an adaptation that reduces ATP expense (<xref ref-type="bibr" rid="ref19">Heinonen, 2001</xref>) or that salvages energy from PP<sub>i</sub> produced from translation (<xref ref-type="bibr" rid="ref55">Reeves, 1968</xref>), PP<sub>i</sub>-utilizing glycolytic enzymes have a conspicuous tendency to occur among microbes that have specialized to sugar-rich environments. Such specialists include human parasites, such as <italic>Entamoeba</italic> (<xref ref-type="bibr" rid="ref56">Reeves, 1984</xref>), <italic>Giardia</italic> (<xref ref-type="bibr" rid="ref44">M&#x00FC;ller et al., 2012</xref>), and trypanosomes (<xref ref-type="bibr" rid="ref41">Michels et al., 2006</xref>), as well as non-parasitic cellulose-, saccharose-, and sugar-degrading bacteria (<xref ref-type="bibr" rid="ref4">Bielen et al., 2010</xref>; <xref ref-type="bibr" rid="ref21">Holwerda et al., 2020</xref>) and archaea (<xref ref-type="bibr" rid="ref5">Br&#x00E4;sen et al., 2014</xref>). In addition, PP<sub>i</sub>-dependent enzymes are particularly common in the strictly sugar-based carbon metabolism of plants (<xref ref-type="bibr" rid="ref67">Serrano et al., 2007</xref>). This pattern of occurrence might be suggestive of an ecological rather than energetic basis behind the distribution of PP<sub>i</sub>-dependent glycolytic pathways.</p>
<p>In line with that view, the use of PP<sub>i</sub>-dependent glycolytic enzymes generally coincides with loss of allosteric regulation through the pathway (<xref ref-type="bibr" rid="ref68">Siebers and Sch&#x00F6;nheit, 2005</xref>; <xref ref-type="bibr" rid="ref5">Br&#x00E4;sen et al., 2014</xref>). In the well-studied example of trypanosomes, loss of regulation allows flux through the pathway to be governed by sugar concentrations in the medium (blood sugar), an ecological adaptation of growth rates to substrate availability, not energetic efficiency, especially as trypanosomes excrete the energy rich compound pyruvate as a metabolic end product (<xref ref-type="bibr" rid="ref41">Michels et al., 2006</xref>). Even in the well-studied glucose fermenting bacterium <italic>Clostridium thermocellum</italic>, which also excretes pyruvate, a clear energetic advantage of its PP<sub>i</sub>-dependent glycolysis is not evident (<xref ref-type="bibr" rid="ref21">Holwerda et al., 2020</xref>). Moreover, deletion of <italic>C. thermocellum</italic>&#x2019;s mPPase has no impact on growth (<xref ref-type="bibr" rid="ref21">Holwerda et al., 2020</xref>), a finding that is hard to reconcile with a central role for energy conservation <italic>via</italic> PP<sub>i</sub> in energy metabolism of the bacterium, although sPPase activity was not reported in the mPPase mutant. By contrast, deletion mutants of sPPases are lethal in <italic>Escherichia coli</italic> (<xref ref-type="bibr" rid="ref7">Chen et al., 1990</xref>) and in yeast (<xref ref-type="bibr" rid="ref51">P&#x00E9;rez-Casti&#x00F1;eira et al., 2002</xref>). This finding is very notable because from an energetic standpoint, because sPPases effectively &#x201C;waste&#x201D; phosphoanhydride bonds <italic>via</italic> rapid PP<sub>i</sub> hydrolysis, raising the question: why should elimination of the &#x201C;energy wasting&#x201D; reaction catalyzed by sPPase be lethal? The growth inhibiting phenotype of sPPase deletion mutants is, however, readily reconciled with Kornberg&#x2019;s kinetic view of PP<sub>i</sub> function, because sPPase knockouts in <italic>E. coli</italic> and yeast yield cells that cannot grow mainly because protein synthesis comes to a halt through product inhibition <italic>via</italic> PP<sub>i</sub> accumulation at the amino acyl tRNA synthesis step.</p>
<p>Our present interest in PP<sub>i</sub> stems from comparative physiological investigations into the energetics of primordial metabolism (<xref ref-type="bibr" rid="ref37">Martin and Russell, 2007</xref>; <xref ref-type="bibr" rid="ref71">Sousa et al., 2013</xref>; <xref ref-type="bibr" rid="ref70">Sousa and Martin, 2014</xref>; <xref ref-type="bibr" rid="ref54">Preiner et al., 2020</xref>). We reasoned that if PP<sub>i</sub> had played any role in primordial energetics, as is widely assumed (<xref ref-type="bibr" rid="ref9">de Duve, 1991</xref>; <xref ref-type="bibr" rid="ref61">Russell et al., 2013</xref>, <xref ref-type="bibr" rid="ref58">2014</xref>; <xref ref-type="bibr" rid="ref77">Wang et al., 2019</xref>; <xref ref-type="bibr" rid="ref52">Piast et al., 2020</xref>), evidence for that role should be preserved in the conserved core of metabolism within modern cells. This is the same conventional logic that is used to interpret other aspects of physiology as relicts of ancient metabolism: metal sulfide clusters in proteins (<xref ref-type="bibr" rid="ref13">Eck and Dayhoff, 1966</xref>; <xref ref-type="bibr" rid="ref76">W&#x00E4;chtersh&#x00E4;user, 1992</xref>; <xref ref-type="bibr" rid="ref18">Heinen and Lauwers, 1997</xref>), the use of organic cofactors as catalysts (<xref ref-type="bibr" rid="ref80">White, 1976</xref>), carbon metal bonds in enzyme active sites (<xref ref-type="bibr" rid="ref35">Martin, 2019</xref>), thioesters as energy currencies (<xref ref-type="bibr" rid="ref66">Semenov et al., 2016</xref>; <xref ref-type="bibr" rid="ref26">Kitadai et al., 2021</xref>), or anaerobic chemolithoautotrophy (<xref ref-type="bibr" rid="ref40">Mereschkowsky, 1910</xref>; <xref ref-type="bibr" rid="ref10">Decker et al., 1970</xref>). Though this line of reasoning (comparative physiology) can be questioned, it is the same reasoning that underlies the view that PP<sub>i</sub> is an ancient energy currency. The conserved core of metabolism is a set of roughly 400 reactions that generates the 20 canonical amino acids, the four bases of RNA and DNA, and the cofactors required for their synthesis from H<sub>2</sub>, CO<sub>2</sub>, NH<sub>3</sub>, H<sub>2</sub>S, P<sub>i</sub>, and inorganic salts (<xref ref-type="bibr" rid="ref81">Wimmer et al., 2021</xref>). Because of its universally conserved nature, this biosynthetic core of chemical reactions (though not necessarily all of it enzymes) was present in the last universal common ancestor, LUCA, and has persisted in all lineages throughout evolution over the last 4 billion years since their divergence from LUCA (<xref ref-type="bibr" rid="ref78">Weiss et al., 2016</xref>). The universal core thus harbors insights not only into LUCA&#x2019;s physiology, but also into the primordial set of reactions that gave rise to the building blocks from which LUCA was assembled. Because our present investigation probes metabolism itself, our insights into the role of PP<sub>i</sub> in evolution differ from those based in the study of phosphorous minerals (<xref ref-type="bibr" rid="ref49">Pasek et al., 2017</xref>). And because our investigation is based in the comparative physiology of living cells, our insights into the role of thermodynamics and kinetics in evolution differ from those based in studies of chemical nucleic acid synthesis (<xref ref-type="bibr" rid="ref48">Pascal et al., 2013</xref>). A fresh look at the role of PP<sub>i</sub> in ancient metabolism suggests that Lipmann was probably wrong, that Kornberg was probably right, and furthermore reveals why nature chose triphosphates as the universal energy currency.</p>
</sec>
<sec id="sec2" sec-type="materials|methods">
<title>Materials and Methods</title>
<sec id="sec3">
<title>Reactions Involving Inorganic Pyrophosphate</title>
<p>The 36 metabolic reactions involving inorganic pyrophosphate (PP<sub>i</sub>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Table S1</xref>) in the biosynthetic core were taken from supplemental data of <xref ref-type="bibr" rid="ref81">Wimmer et al. (2021)</xref>. Reaction R00720 involving IMP synthesis was removed from the core because it is not essential. The reactions were initially collected from the KEGG (<xref ref-type="bibr" rid="ref25">Kanehisa and Goto, 2000</xref>), version December 2020 and polarized in the direction of cell synthesis.</p>
</sec>
<sec id="sec4">
<title>ATP Hydrolysis Among Prokaryotes</title>
<p>Reactions involving ATP hydrolysis of the reaction scheme X+ATP &#x2194; Y+ADP+P<sub>i</sub> were obtained from KEGG (<xref ref-type="bibr" rid="ref25">Kanehisa and Goto, 2000</xref>). <italic>X</italic> and <italic>Y</italic> are placeholders for variable compounds. Additional compounds on both sides can be present. A total of 15,339 KEGG reactions were searched for the reaction scheme in the forward and back direction since KEGG reactions are not polarized in general. A total of 131 reactions involving ATP hydrolysis were obtained in the data, whereas 61 reactions are specific to prokaryotes (<xref ref-type="supplementary-material" rid="SM2">Supplementary Table S2</xref>). The domain check was performed by parsing the Enzyme Commission (EC) numbers of each reaction, gathering a list of genes and their respective organisms leading to the domain.</p>
</sec>
<sec id="sec5">
<title>Collection of Michaelis&#x2013;Menten Constants for Pyrophosphatases</title>
<p>Michaelis&#x2013;Menten constants (<italic>K<sub>m</sub>
</italic>) for inorganic pyrophosphatase activity in <italic>E. coli</italic> wildtypes were obtained from BRENDA (<xref ref-type="bibr" rid="ref63">Schomburg et al., 2002</xref>) <italic>via</italic> EC number 3.6.1.1. <italic>Escherichia coli</italic> mutants were removed from the data (<xref ref-type="supplementary-material" rid="SM3">Supplementary Table S3</xref>).</p>
</sec>
<sec id="sec6">
<title>Kinetic Effect of PP<sub>i</sub> in Translation</title>
<p>To investigate the effect of pyrophosphate hydrolysis on the product yield (adenylated amino acid) in aminoacyl-tRNA synthetase (AARS) reactions more quantitatively, kinetic simulations of substrate binding and activation of isoleucine by adenylation in isoleucyl-tRNA synthetase were performed using Mathcad 2001 (Mathsoft Engineering &#x0026; Education, Inc.). The underlying kinetic scheme is taken from <xref ref-type="bibr" rid="ref53">Pope et al. (1998)</xref> with hydrolysis of PP<sub>i</sub> added (see <xref ref-type="supplementary-material" rid="SM4">Supplementary Figure S1A</xref>). The rate equations were used to obtain the concentration vs. time profiles by numerical integration (see <xref ref-type="supplementary-material" rid="SM4">Supplementary Figure S1B</xref>). Experimental rate constants were obtained from <xref ref-type="bibr" rid="ref53">Pope et al. (1998)</xref> and <xref ref-type="bibr" rid="ref72">Stockbridge and Wolfenden (2011)</xref>. Initial concentrations of 1mM amino acid, enzyme, and ATP were used, and integration was carried out up to 20s. These calculations provide an empirical basis for the intuitive effect of product removal during the PP<sub>i</sub> forming step of translation (see <xref ref-type="supplementary-material" rid="SM4">Supplementary Figure S2</xref>).</p>
</sec>
</sec>
<sec id="sec7" sec-type="results">
<title>Results</title>
<sec id="sec8">
<title>Pyrophosphate Polarized LUCA&#x2019;s Core Biosynthetic Metabolism</title>
<p>To see whether PP<sub>i</sub> might have had a role in primordial energetics, the reactions of the core (<xref ref-type="bibr" rid="ref81">Wimmer et al., 2021</xref>) that involve PP<sub>i</sub> or ATP were identified and polarized in the biosynthetic direction, that is, from H<sub>2</sub> and CO<sub>2</sub> toward cell mass synthesis. In Lipman&#x2019;s view, PP<sub>i</sub> was an environmental energy source, a substrate that assumes a thermodynamic role as an educt residing on the left side of an enzymatic reaction, while in Kornberg&#x2019;s view PP<sub>i</sub> is synthesized in metabolism <italic>via</italic> ATP hydrolysis and assumes a kinetic role as a product that is removed from the right side of the reaction. Writing the reactions from left to right in the direction of CO<sub>2</sub> to products as the pathways are mapped in KEGG (<xref ref-type="bibr" rid="ref25">Kanehisa and Goto, 2000</xref>) brings the role of PP<sub>i</sub> in the core into focus. Among the 36 reactions of the core in which PP<sub>i</sub> occurs, it is always a reaction product occurring on the right side of the reaction, serving as an energy source in zero reactions (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S1</xref>). The reactions of the biosynthetic core of metabolism thus speak 36:0 in favor of PP<sub>i</sub> conferring irreversibility, as <xref ref-type="bibr" rid="ref28">Kornberg (1962)</xref> suggested, and harbor no traces of Lipmann&#x2019;s proposal for an ancient energetic or thermodynamic role for PP<sub>i</sub>.</p>
<p>In the metabolism of modern cells, PP<sub>i</sub> is always produced from ATP by reaction sequences that sum to ATP+H<sub>2</sub>O&#x2192;AMP+PP<sub>i</sub> (&#x2206;<italic>G</italic>
<sub>o</sub>
<italic>&#x02B9;</italic>=&#x2212;46kJ&#x00B7;mol<sup>&#x2212;1</sup>), slightly more exergonic than ATP+H<sub>2</sub>O&#x2192;ADP+P<sub>i</sub> (&#x2206;<italic>G</italic>
<sub>o</sub>
<italic>&#x02B9;</italic>=&#x2212;32kJ&#x00B7;mol<sup>&#x2212;1</sup>). This opens the possibility that PP<sub>i</sub> formation might have played an energetic role in the core, but not as a source of high energy bonds. Were the role of PP<sub>i</sub> in the core thermodynamic, it could have readily been replaced in evolution by compounds with a similar or higher free energy of hydrolysis, such as acetyl phosphate (&#x2206;<italic>G</italic>
<sub>o</sub>
<italic>&#x2032;</italic>=&#x2212;43kJ&#x00B7;mol<sup>&#x2212;1</sup>), 1,3-bisphosphoglycerate (&#x2206;<italic>G</italic>
<sub>o</sub>
<italic>&#x2032;</italic>=&#x2212;52kJ&#x00B7;mol<sup>&#x2212;1</sup>), or phosphoenolpyruvate (&#x2206;<italic>G</italic>
<sub>o</sub>
<italic>&#x2032;</italic>=&#x2212;62kJ&#x00B7;mol<sup>&#x2212;1</sup>), the high energy bonds in all three of which are synthesized in metabolism using one ATP each (the same cost as PP<sub>i</sub> hydrolysis). Because ATP hydrolysis to adenosine monophosphate (AMP) and PP<sub>i</sub> is not replaced by alternative energy currencies with a higher free energy of hydrolysis, and because PP<sub>i</sub> is always a product in the core, not an educt, the function of PP<sub>i</sub> in the core can hardly be thermodynamic.</p>
<p>Keeping in mind that Kornberg&#x2019;s suggestion for the role of PP<sub>i</sub> was based on nucleic acid polymerization and translation, the occurrence of PP<sub>i</sub> in the core solely as a product suggests that its role is kinetic, lowering the rate of back reactions, rather than thermodynamic. Is this true more generally in metabolism, that is, outside the core? We consulted KEGG. If PP<sub>i</sub> had any role during early evolution as an energy currency, then some reactions should persist in which PP<sub>i</sub> hydrolysis is coupled to an otherwise endergonic reaction. Though a handful of PP<sub>i</sub> consuming reactions phosphorylate substrates in the physiological reaction (<xref ref-type="bibr" rid="ref45">Nagata et al., 2018</xref>), among 15,339 reactions in KEGG, we found no PP<sub>i</sub> hydrolyzing, non-phosphorylating reactions at all that provide energetic coupling to an otherwise thermodynamically unfavorable reaction. That is, there were no reactions of the type X+PP<sub>i</sub> &#x2194; Y+2 P<sub>i</sub>, whereby we note that the pyrophosphatase reaction, KEGG reaction number R00004, employs H<sub>2</sub>O as X but has no Y component. This is a noteworthy observation. It indicates that PP<sub>i</sub> serves at best as a phosphorylating agent in metabolism, but never as a source of pure thermodynamic impetus to help push unfavorable reactions forward <italic>via</italic> coupling to PP<sub>i</sub> hydrolysis. By contrast, a number of metabolic reactions (61 prokaryote specific reactions among 15,339 total reactions in KEGG; <xref ref-type="supplementary-material" rid="SM2">Supplementary Table S2</xref>) go forward because they are coupled to non-phosphorylating ATP hydrolysis in reactions of the type X+ATP &#x2194; Y+ADP+P<sub>i</sub>. The lack of such reactions for PP<sub>i</sub> in KEGG clearly indicates that PP<sub>i</sub> is not a dedicated energy currency in biosynthesis, notwithstanding the existence of PP<sub>i</sub>-dependent glycolytic pathways, as outlined in the introduction. Note that KEGG does not include the myriad reactions in which ATP (or GTP) phosphorylates proteins, and we know of no examples in which PP<sub>i</sub> is used to phosphorylate proteins as true energy currencies do. These findings indicate that PP<sub>i</sub> is not a dedicated energy currency and that by inference, in the simplest interpretation, it never has been.</p>
<p>PP<sub>i</sub> producing reactions are generally seen as being irreversible under physiological conditions because of the ubiquitous presence of high activities of sPPases in cells (<xref ref-type="bibr" rid="ref31">Lahti, 1983</xref>; <xref ref-type="bibr" rid="ref8">Danchin et al., 1984</xref>; <xref ref-type="bibr" rid="ref19">Heinonen, 2001</xref>), which catalyze the reaction PP<sub>i</sub>+H<sub>2</sub>O&#x2192;2P<sub>i</sub> (&#x2206;<italic>G</italic>
<sub>o</sub>
<italic>&#x2032;</italic>=&#x2212;21kJ&#x00B7;mol<sup>&#x2212;1</sup>), thereby continuously removing a substrate for PP<sub>i</sub> producing reactions in the reverse direction. Notably, aqueous Mg<sup>2+</sup> ions alone accelerate the rate of spontaneous PP<sub>i</sub> hydrolysis by three orders of magnitude in water and PP<sub>i</sub> hydrolysis in dimethyl sulfoxide/water by six orders of magnitude (<xref ref-type="bibr" rid="ref72">Stockbridge and Wolfenden, 2011</xref>), such that inorganically catalyzed PP<sub>i</sub> hydrolysis might have been a mechanism of irreversibility even before the advent of enzymes. Irreversibility at 36 PP<sub>i</sub>-dependent enzymatic reactions in the core &#x2013; nine in amino acid pathways, three in nucleotide synthesis, and 19 in cofactor synthesis (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table S1</xref>) &#x2013; functions in modern metabolism as a system of check valves (valves that close to prevent backward flow) that, individually and in concert, act as a ratchet&#x2019;s pawl, inching the reactions of the core unidirectionally forward toward product synthesis. We suggest that this has been the case since the availability of ATP as the universal energy currency.</p>
</sec>
<sec id="sec9">
<title>Pyrophosphate Polarized Metabolism <italic>in toto</italic> Throughout All of Evolution</title>
<p>In the metabolism of LUCA, PP<sub>i</sub> forced the reactions of the core forward in the direction of monomer synthesis for cell mass synthesis. The effect of PP<sub>i</sub>, however, extended well beyond LUCA&#x2019;s core biosynthesis because PP<sub>i</sub> renders nucleic acid and protein synthesis irreversible (<xref ref-type="bibr" rid="ref28">Kornberg, 1962</xref>), and because LUCA possessed the genetic code and was able to synthesize RNA, DNA, and proteins (<xref ref-type="bibr" rid="ref78">Weiss et al., 2016</xref>). To get a better picture of the polarizing role of PP<sub>i</sub> in the central dogma of molecular biology, we generated estimates for its quantitative contribution to the overall ATP budget based on the classical estimates of <xref ref-type="bibr" rid="ref73">Stouthamer (1978)</xref>, which are still in wide use today. Protein synthesis requires activated amino acids, rRNA, tRNA, and mRNA. In a modern cell growing from H<sub>2</sub>, CO<sub>2</sub>, and NH<sub>3</sub>, the synthesis of protein comprises the combined energetic cost of making RNA and protein, consuming roughly 76% of the biosynthetic ATP budget (<xref rid="tab1" ref-type="table">Table 1</xref>). The quantitative contribution of PP<sub>i</sub> forming reactions to the cellular energy budget is surprisingly large. In amino acid biosynthesis, 47% of the ATP consuming reactions (8/17) generate PP<sub>i</sub>, whereas in nucleotide synthesis 13.6% (3/22) generate PP<sub>i</sub>. In polymerization reactions, the contributions are greater.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>ATP expense per gram of cells during biosynthetic processes<xref rid="tfn1" ref-type="table-fn"><sup>a</sup></xref> [mol&#x00B7;10<sup>4</sup>].</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th>Component</th>
<th align="justify" valign="top" colspan="2">Monomer synthesis<xref rid="tfn2" ref-type="table-fn"><sup>b</sup></xref>
</th>
<th align="justify" valign="top" colspan="2">Polymerization<xref rid="tfn3" ref-type="table-fn"><sup>c</sup></xref>
</th>
<th align="left" valign="top">
</th>
<th align="left" valign="top">Total</th>
<th align="left" valign="top">PP<sub>i</sub>- forming</th>
<th align="left" valign="top">Total</th>
<th align="left" valign="top">PP<sub>i</sub>- forming</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Protein</td>
<td align="center" valign="top">14</td>
<td align="center" valign="top">6.6</td>
<td align="center" valign="top">191</td>
<td align="center" valign="top">91.3</td>
</tr>
<tr>
<td align="left" valign="top">RNA</td>
<td align="center" valign="top">34</td>
<td align="center" valign="top">4.6</td>
<td align="center" valign="top">23</td>
<td align="center" valign="top">20.3</td>
</tr>
<tr>
<td align="left" valign="top">DNA</td>
<td align="center" valign="top">9</td>
<td align="center" valign="top">1.2</td>
<td align="center" valign="top">2</td>
<td align="center" valign="top">1.2</td>
</tr>
<tr>
<td align="left" valign="top">Lipid<xref rid="tfn4" ref-type="table-fn"><sup>d</sup></xref>
</td>
<td align="center" valign="top">1</td>
<td align="center" valign="top">&#x2013;</td>
<td align="center" valign="top">&#x2013;</td>
<td align="center" valign="top">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="top">Polysaccharide<xref rid="tfn4" ref-type="table-fn"><sup>d</sup></xref>
</td>
<td align="center" valign="top">21</td>
<td align="center" valign="top">&#x2013;</td>
<td align="center" valign="top">&#x2013;</td>
<td align="center" valign="top">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="top">Import<xref rid="tfn5" ref-type="table-fn"><sup>e</sup></xref>
</td>
<td align="center" valign="top">52</td>
<td align="center" valign="top">&#x2013;</td>
<td align="center" valign="top">&#x2013;</td>
<td align="center" valign="top">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="top">Sum</td>
<td align="center" valign="top">131</td>
<td align="center" valign="top">12.4</td>
<td align="center" valign="top">216</td>
<td align="center" valign="top">113</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Energetic cost of protein synthesis incl. Ribosome biosynthesis: 262/347=76%</p>
<p>Energetic contribution of PP<sub>i</sub> forming steps in cell biosynthesis: 125/347=36%</p>
<p>Energetic contribution of GTP-dependent biosynthetic steps<sup>f</sup>: 98.5/347=28%</p>
<fn id="tfn1">
<label>a</label>
<p>Values are for <italic>Escherichia coli</italic> from <xref ref-type="bibr" rid="ref73">Stouthamer (1978)</xref> as tabulated by <xref ref-type="bibr" rid="ref17">Harold (1986)</xref>. <xref ref-type="bibr" rid="ref32">Lever et al. (2015)</xref> calculate &#x2206;<italic>G</italic>
<sub>o</sub><sup>&#x2019;</sup> for the synthesis of monomers from H<sub>2</sub>, CO<sub>2</sub>, and NH<sub>3</sub> based on the values of <xref ref-type="bibr" rid="ref46">Neidhardt et al. (1990)</xref> but not the ATP expense per monomer. <xref ref-type="bibr" rid="ref46">Neidhardt et al. (1990)</xref> estimate ATP expense for monomer synthesis as 42 ATP per 20 amino acids and 40 ATP per four nucleotides in <italic>E. coli</italic>. A dash (&#x2212;) indicates that the value is zero or negligible. Note that these calculations entail only biosynthetic costs and do not consider energy spilling (<xref ref-type="bibr" rid="ref74">Tempest and Neijssel, 1984</xref>) or maintenance energy, which can exceed biosynthesis by a factor of 3 in exponential growth (<xref ref-type="bibr" rid="ref59">Russell and Cook, 1995</xref>; <xref ref-type="bibr" rid="ref57">Russell, 2007</xref>), and by more under energy limitation (<xref ref-type="bibr" rid="ref32">Lever et al., 2015</xref>).</p>
</fn>
<fn id="tfn2">
<label>b</label>
<p>The proportion of PP<sub>i</sub> forming steps in monomer biosynthesis was calculated as the total cost for the monomer multiplied by the fraction of PP<sub>i</sub> forming steps among ATP hydrolyzing steps en route to nucleoside monophosphates (<xref ref-type="bibr" rid="ref81">Wimmer et al., 2021</xref>).</p>
</fn>
<fn id="tfn3">
<label>c</label>
<p>The proportion of PP<sub>i</sub> forming steps in polymerization takes the costs of proofreading, assembly and modification from <xref ref-type="bibr" rid="ref32">Lever et al. (2015)</xref> into account. These are not PP<sub>i</sub>-forming reactions.</p>
</fn>
<fn id="tfn4">
<label>d</label>
<p>LPS, lipopolysaccharide. These values are for <italic>E. coli</italic>. There is a PP<sub>i</sub> forming component of lipid synthesis in archaea that is neglected here. Archaea also lack LPS and possess no murein, though sometimes pseudomurein (<xref ref-type="bibr" rid="ref1">Albers and Meyer, 2011</xref>), and have a larger protein component in the cell wall (S-Layer).</p>
</fn>
<fn id="tfn5">
<label>e</label>
<p>
<xref ref-type="bibr" rid="ref73">Stouthamer (1978)</xref> calculates the cost of import for precursors, mainly ammonium, <xref ref-type="bibr" rid="ref32">Lever et al. (2015)</xref> neglect import. If one considers a functional core before the origin of free-living cells, no costs for import are incurred.</p>
</fn>
<fn>
<label>f</label>
<p>In the core, 13% of the triphosphate expense for amino acid and NMP/dNMP monomer synthesis (5510<sup>&#x2212;4</sup>mol ATP per gram of cells) is GTP-dependent (7.210<sup>&#x2212;4</sup>mol ATP per gram of cells), plus two GTP-dependent steps in translation (91.310<sup>&#x2212;4</sup>mol ATP per gram of cells) yield <italic>ca.</italic> 98.510<sup>&#x2212;4</sup>mol GTP per gram of cells.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Guanosine triphosphate (GTP) hydrolyzing reactions are not uncommon in LUCA&#x2019;s biosynthetic core (<xref rid="fig1" ref-type="fig">Figure 1</xref>), in line with its ancient role in metabolism (<xref ref-type="bibr" rid="ref37">Martin and Russell, 2007</xref>) and the observation that in some organisms where it has been investigated, GTP is readily used as a substrate in reactions that are typically regarded as ATP dependent (<xref ref-type="bibr" rid="ref21">Holwerda et al., 2020</xref>). About 26% of a cell&#x2019;s energy budget is consumed in the GTP-dependent steps of translation. The main biosynthetic ATP expense in protein synthesis is translation, which consumes four ATP per peptide bond (<xref ref-type="bibr" rid="ref73">Stouthamer, 1978</xref>). Peptide chain elongation at the ribosome has two P<sub>i</sub> forming GTP hydrolysis steps catalyzed by EF-Tu and EF-G (<xref ref-type="bibr" rid="ref62">Satpati et al., 2014</xref>), while amino acyl tRNA synthesis requires the expense of two ATP through amino acid activation by amino acyl tRNA synthetase (AARS) enzymes. Activation generates aminoacyl adenylate and PP<sub>i</sub>, followed by aminoacylation of tRNA and AMP release (<xref ref-type="bibr" rid="ref14">Gomez and Ibba, 2020</xref>). Because half of the energy cost for translation resides in the PP<sub>i</sub> producing nature of the AARS reactions, roughly 26% of the cell&#x2019;s total biosynthetic ATP expense (91/347, <xref rid="tab1" ref-type="table">Table 1</xref>) is incurred to pay the price of irreversibility at the formation of aminoacyl tRNAs for translation.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>A divide in biosynthetic energy expense. <bold>(A)</bold> Based on <xref rid="tab1" ref-type="table">Table 1</xref>, a summary of triphosphate expenses across biosynthetic processes. <bold>(B)</bold> A ratchet and a ratchet&#x2019;s pawl as a mechanism of irreversibility. In metabolism, PP<sub>i</sub> hydrolysis functions as the pawl.</p>
</caption>
<graphic xlink:href="fmicb-12-759359-g001.tif"/>
</fig>
<p>PP<sub>i</sub> has an ancient and conserved function in metabolism as a mediator of irreversibility (<xref ref-type="bibr" rid="ref28">Kornberg, 1962</xref>) that clearly traces to LUCA (<xref rid="fig1" ref-type="fig">Figure 1</xref>). By contrast, not a single reaction in the core uncovers a role for PP<sub>i</sub> as an energy currency in primordial metabolism. Based upon the conserved nature of the core across all modern lineages, we can infer that PP<sub>i</sub> generating reactions have vectorialized monomer synthesis of ABC compounds throughout evolution, acting as a ratchet&#x2019;s pawl (<xref rid="fig1" ref-type="fig">Figure 1B</xref>), rendering monomer synthesis unidirectional, even in low energy environments.</p>
<p>PP<sub>i</sub> producing steps in RNA monomer and polymer synthesis account for about 7% of the overall biosynthetic energy budget (<xref rid="fig1" ref-type="fig">Figure 1</xref>). As with translation, thermodynamics do not strictly demand PP<sub>i</sub> generation and hydrolysis, as transcription can operate with NDPs <italic>in vitro</italic> (<xref ref-type="bibr" rid="ref15">Gottesman and Mustaev, 2019</xref>). PP<sub>i</sub> production during DNA synthesis only accounts for 1% of the cell&#x2019;s energy budget (<xref rid="fig1" ref-type="fig">Figure 1</xref>), whereby some DNA polymerases can also operate with NDP substrates (<xref ref-type="bibr" rid="ref6">Burke and Lupt&#x00E1;k, 2018</xref>). In addition, some polymerases use the irreversible effect of PP<sub>i</sub> hydrolysis by possession of a pyrophosphatase domain that cleaves PP<sub>i</sub> as the enzyme moves forward (<xref ref-type="bibr" rid="ref29">Kottur and Nair, 2018</xref>).</p>
<p>PP<sub>i</sub> generation and hydrolysis render both the reactions of the core and polymerization reactions during replication, transcription and translation irreversible under the physiological conditions of the cell. In the core, and in the cytosol, this ratchet has locked biochemistry in the direction of cell synthesis during the 4billion years since metabolic origin. The insight of <xref ref-type="bibr" rid="ref28">Kornberg (1962</xref>, p. 261) &#x201C;<italic>Hydrolysis of the latter</italic> [pyrophosphate] <italic>by inorganic pyrophosphatases promotes the irreversibility of the synthetic route to coenzymes, nucleic acids, proteins, and structural carbohydrates and lipids</italic>&#x201D; still stands.</p>
</sec>
<sec id="sec10">
<title>The Effect of PP<sub>i</sub> in Translation Is Demonstrably Kinetic</title>
<p>The vectorializing effect of PP<sub>i</sub> in translation is not thermodynamic, it is the same as in the biosynthetic core: a kinetic ratchet afforded by ubiquitous pyrophosphatases that render protein synthesis unidirectional toward growth. We were able to demonstrate this effect by calculating the kinetics of aminoacyl tRNA synthesis using published rate constants obtained from <xref ref-type="bibr" rid="ref53">Pope et al. (1998)</xref> and from <xref ref-type="bibr" rid="ref72">Stockbridge and Wolfenden (2011)</xref>. The equations are given in <xref ref-type="supplementary-material" rid="SM4">Supplementary Figure S1</xref>, into which we introduced values from the literature to obtain the kinetics (the time dependence of reactant and product concentrations) for the isoleucyl-tRNA synthetase reaction in <italic>E. coli</italic> in the presence of inorganic pyrophosphatase. The result is shown in <xref ref-type="supplementary-material" rid="SM4">Supplementary Figure S2</xref>. The <italic>E. coli</italic> enzyme belongs to the family I or type I PPase, which typically have rate constants on the order of 200&#x2013;400s<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="ref24">Kajander et al., 2013</xref>). Using the <italic>E. coli</italic> sPPase I rate constant of 570s<sup>&#x2212;1</sup> provided by <xref ref-type="bibr" rid="ref72">Stockbridge and Wolfenden (2011)</xref> in our calculations, PP<sub>i</sub> hydrolysis is essentially complete after 0.4s (<xref ref-type="supplementary-material" rid="SM4">Supplementary Figure S2</xref>). This is a clear result: Pyrophosphatase activity drives the overall reaction of aminoacyl tRNA synthesis forward by removing PP<sub>i</sub> at a high rate relative to other steps of the reaction such that the adenylated amino acid is formed irreversibly. The reaction kinetics provides a clear empirical basis for the intuitive effect of product removal during the PP<sub>i</sub> forming step of translation.</p>
<p>Different PPases have, however, different rate constants for PP<sub>i</sub> hydrolysis. In particular, the membrane bound mPPases are extremely slow; hence, it was of interest to see if they could still provide a similar kinetic effect in the AARS reaction. The mPPases occur in roughly 25% of prokaryotes; the enzyme is also common among protists and is ubiquitous among land plants, where it couples PP<sub>i</sub> hydrolysis to the pumping of ions (Na<sup>+</sup> or H<sup>+</sup>) out of the cell or, in the case of vacuolar PPases (vPPases), from the cytosol into vacuoles or acidocalcisomes, organelles rich in calcium and polyphosphate (<xref ref-type="bibr" rid="ref24">Kajander et al., 2013</xref>). The mPPases and vPPases are one to two orders of magnitude slower than type I sPPases, with rates on the order of 3.5&#x2013;20s<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="ref24">Kajander et al., 2013</xref>). Thus, we lowered the rate constant of PP<sub>i</sub> hydrolysis by a factor of 100 in our calculations (k<sub>7</sub>=5.7s<sup>&#x2212;1</sup>; <xref ref-type="supplementary-material" rid="SM4">Supplementary Figure S2</xref>). The kinetic effect was basically the same: Nearly complete conversion (96%) of PP<sub>i</sub> to P<sub>i</sub> is reached at 20s (&#x03C4;<sub>1/2</sub>=900ms). Hence, even very slow pyrophosphatases such as mPPases or vPPases can still drive amino acid activation by AARS enzymes to near completion. The reaction takes slightly longer than in the case of the type I sPPase, but is still complete in well under a minute. The reasons why the rate constants of the membrane bound PPases are so low is not known (<xref ref-type="bibr" rid="ref24">Kajander et al., 2013</xref>), and it might be because their ion pumps work reversibly, synthesizing PP<sub>i</sub> from 2P<sub>i</sub> when the cations flow back through the membrane.</p>
<p>There are also type II sPPase (type II sPPase) that are much faster, and they hydrolyze PP<sub>i</sub> with rate constants on the order of 1,700&#x2013;3,000s<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="ref24">Kajander et al., 2013</xref>). While all type I sPPases use Mg<sup>2+</sup> ions to bind PP<sub>i</sub> and water to negatively charged amino acids like aspartic acid and polarize water for PP<sub>i</sub> hydrolysis by nucleophilic OH<sup>&#x2212;</sup> attack, type II sPPases additionally use Mn<sup>2+</sup> (or Co<sup>2+</sup>) for binding and polarization, which probably relates to their higher rate constants. Type II sPPases have only been found in prokaryotes so far; they are common among clostridia and bacilli. Using the rate of 3,000s<sup>&#x2212;1</sup> for a type II sPPase (<xref ref-type="bibr" rid="ref24">Kajander et al., 2013</xref>), we find that PP<sub>i</sub> hydrolysis is 96% complete at 0.35s and 98% complete at 0.5s (&#x03C4;<sub>1/2</sub>=36ms). The reaction rate of type II sPPase drives PP<sub>i</sub> hydrolysis to completion in less than second, removing all PP<sub>i</sub> substrate for the AARS back reaction. PPases I and II release the PP<sub>i</sub> hydrolysis energy of &#x2212;20 to &#x2212;25kJ&#x00B7;mol<sup>&#x2212;1</sup> as heat in the cytosol. Hence, it is not pyrophosphatase thermodynamics, but its kinetics which drive the amino acid adenylation to high yield.</p>
<p>We point out that that in <italic>E. coli</italic> with, PP<sub>i</sub> can accumulate to transient concentrations on the order of 1mM (<xref ref-type="bibr" rid="ref30">Kukko and Heinonen, 1982</xref>) in exponentially growing cells, which would seem to create a conflict with the idea of a kinetic effect. Yet in natural environments, exponential growth is rarely if ever attained, as discussed in more detail in the next section. In the context of weighing kinetic vs. thermodynamic effects of PP<sub>i</sub> production, we also recall the &#x201C;uncomfortable&#x201D; observation that deletion of <italic>C. thermocellum</italic> mPPase has no impact upon exponential growth (<xref ref-type="bibr" rid="ref21">Holwerda et al., 2020</xref>), whereby chemostat cultures of <italic>C. thermocellum</italic>, which have high PP<sub>i</sub> concentrations in the cytosol and a PP<sub>i</sub>-dependent glycolytic pathway, show clear signs of increased reversibility at the AARS reactions in the form of high concentrations of excreted amino acids (<xref ref-type="bibr" rid="ref21">Holwerda et al., 2020</xref>). Whether such altruistic amino acid excretion into the environment <italic>via</italic> the AARS reaction would be manifested or sustainable in natural cellulose degrading environments over evolutionary timescales as opposed to chemostat growth conditions designed for biofuel yield is currently not known. It is also noteworthy that cells expend four ATP to generate a peptide bond even though one ATP would suffice, as peptide synthesis from aminoacyl phosphates (<xref ref-type="bibr" rid="ref23">Kachalsky and Paecht, 1954</xref>) or non-ribosomal peptide synthesis (<xref ref-type="bibr" rid="ref38">Mart&#x00ED;nez-N&#x00FA;&#x00F1;ez and L&#x00F3;pez y L&#x00F3;pez, 2016</xref>) shows. The energetic difference between the one ATP required to form a peptide bond in solution vs. the four ATP that cells expend to make peptide bonds during translation can be seen as the energetic cost of structural information that is specified within a protein sequence (<xref ref-type="bibr" rid="ref16">Haber and Anfinsen, 1962</xref>) plus the cost of its irreversible synthesis (<xref ref-type="bibr" rid="ref28">Kornberg, 1962</xref>).</p>
</sec>
</sec>
<sec id="sec11" sec-type="discussions">
<title>Discussion</title>
<sec id="sec12">
<title>Irreversibility in the Long-Term Evolution of Cells in Nature</title>
<p>What are the consequences of a PP<sub>i</sub> irreversibility ratchet over geological timescales? From a physiological and energetic standpoint, the function of PP<sub>i</sub> is always subordinate to ATP, because the source of the anhydride bond in PP<sub>i</sub> in modern metabolism is always ATP, generated either <italic>via</italic> ion gradients or <italic>via</italic> substrate level phosphorylation. A critic might interject that thylakoid pyrophosphatases might be able to conserve energy as PP<sub>i</sub> (<xref ref-type="bibr" rid="ref22">Jiang et al., 1997</xref>), but if they do, it would be at the expense of one ATP per PP<sub>i</sub> formed.</p>
<p>A critic might interject that <xref ref-type="bibr" rid="ref19">Heinonen (2001)</xref> has summarized evidence to suggest that the measured cellular PP<sub>i</sub> levels on the order of 1mM in logarithmically growing <italic>E. coli</italic> cells are too high to exert a kinetic effect of the kind that Kornberg had in mind. This issue can be illustrated with a passage from <xref ref-type="bibr" rid="ref30">Kukko and Heinonen (1982)</xref>, who measured the intracellular PP<sub>i</sub> concentration of <italic>E. coli</italic> grown in batch culture with a doubling time of roughly 1h. They found that the PP<sub>i</sub> concentration was constant at about 0.5mM during exponential growth. From this, they concluded that &#x201C;<italic>[&#x2026;] the metabolic role of PP<sub>i</sub> has been clouded by the widespread belief that PP<sub>i</sub> formed in the metabolism is rapidly hydrolyzed in cells to inorganic phosphate and the concentration of PPi thus approaches zero in the cytoplasm. This view must be in error.</italic>&#x201D; We do not doubt their observations; their interpretation is the issue. <xref ref-type="bibr" rid="ref30">Kukko and Heinonen (1982)</xref> cite several other papers where PP<sub>i</sub> concentrations on the order of 0.1&#x2013;2mM are reported, always from exponentially growing cells. Why are PP<sub>i</sub> concentrations in exponentially growing cells misleading in the context of irreversibility?</p>
<p>When growth stops, so does PP<sub>i</sub> production in the cytosol. But even after growth-dependent production of PP<sub>i</sub> has ceased, PP<sub>i</sub> continues to be hydrolyzed by pyrophosphatase activity. In a rare report, <xref ref-type="bibr" rid="ref8">Danchin et al. (1984)</xref> measured PP<sub>i</sub> after blocking ATP (hence PP<sub>i</sub>) synthesis in <italic>E. coli</italic>, and they found that PP<sub>i</sub> levels dropped exponentially to 100&#x03BC;M within a minute and to 10&#x03BC;M within 10min, in line with our kinetic calculations (<xref ref-type="supplementary-material" rid="SM4">Supplementary Figure S2</xref>). <xref ref-type="bibr" rid="ref4">Bielen et al. (2010)</xref> also noted that PP<sub>i</sub> levels dropped when cells ceased exponential growth. Why do PP<sub>i</sub> levels drop when growth is arrested? It is because PP<sub>i</sub> is produced by growth processes (<xref ref-type="bibr" rid="ref27">Klemme, 1976</xref>), but is hydrolyzed to phosphate by pyrophosphatases continuously, also in resting cells, independent of growth. This leads to a rapid drop in PP<sub>i</sub> concentrations, which do in fact approach zero in the cytoplasm, once PP<sub>i</sub> production is halted. This is why <xref ref-type="bibr" rid="ref8">Danchin et al. (1984)</xref> observed a precipitous drop in PP<sub>i</sub> concentrations once PP<sub>i</sub> production was arrested.</p>
<p>The sources of PP<sub>i</sub> in metabolism in typical cells (here, typical means cells that lack PP<sub>i</sub>-dependent glycolysis) have been known for decades. <xref ref-type="bibr" rid="ref27">Klemme (1976)</xref> summarized the main sources of PP<sub>i</sub> production in growing <italic>E. coli</italic> and the rates are which it is produced. In the units of &#x03BC;mol per 100mg biomass, the contributions to PP<sub>i</sub> production in exponentially growing <italic>E. coli</italic> were: synthesis of protein (545), nucleic acids (67), polysaccharides (60), and lipids (60) for a total of 740. Using the fixed relationship between PP<sub>i</sub> synthesis and growth in either rich or minimal medium, he was able to obtain good estimates for the rate of PP<sub>i</sub> synthesis for several bacteria, which he set in relationship to the measured PPase activity for the same bacteria, allowing him to calculate the ratio of rates (&#x03BC;moles&#x00B7;h<sup>&#x2212;1</sup>&#x00B7;mg protein<sup>&#x2212;1</sup>) for PP<sub>i</sub> production and PP<sub>i</sub> hydrolysis. For eight exponentially growing bacterial species (six Gram negative, two Gram positive), he found that the ratio of PP<sub>i</sub> hydrolysis to PP<sub>i</sub> synthesis was 79, 73, 57, 33, 14, 10, 8, and 1 (Table II of <xref ref-type="bibr" rid="ref27">Klemme, 1976</xref>). The average value was 35; the value for <italic>E. coli</italic> was 14. That is, the rate of <italic>E. coli</italic> PP<sub>i</sub> hydrolysis is 14 times higher than the rate of PP<sub>i</sub> production from growth processes. Even if the ratio is only 1, when exponential growth is arrested, pyrophosphatase activity remains, which will relentlessly gnaw away at PP<sub>i</sub> concentrations until they essentially reach zero or until rapid growth is resumed, such that rates of cytosolic PP<sub>i</sub> production can exceed PP<sub>i</sub> hydrolysis. A number of microbes possess Mn<sup>2+</sup>- or Co<sup>2+</sup>-dependent sPPases, called family II sPPases, that have a catalytic rate higher than that of typical sPPases (<xref ref-type="bibr" rid="ref24">Kajander et al., 2013</xref>).</p>
<p>The foregoing raises two important points. The first is that PP<sub>i</sub> levels in exponentially growing cells are not a good proxy for the function of PP<sub>i</sub> over evolutionary time. This is because sustained exponential growth is never attained for microbes in the environment or during evolution, as they are mainly starved for nutrients in the wild. In the largest microbial community known, marine sediment, cells do not actually grow, they just slowly die as organic nutrients become limiting (<xref ref-type="bibr" rid="ref47">Orsi et al., 2020</xref>). In such environments, the standard concept of doubling times does not apply to growth or survival, as cell mass never doubles, it just turns over from one living cell to another, with turnover times on the order of tens to thousands of years (<xref ref-type="bibr" rid="ref20">Hoehler and J&#x00F8;rgensen, 2013</xref>). In starved cells as they exist in sediment, ATP synthesis is orders of magnitude slower than in exponentially growing cells and PP<sub>i</sub> production is governed by the rate of protein synthesis, meaning that on time scales of days, months, and years, trace pyrophosphatase activity will hold the cytosolic PP<sub>i</sub> concentration close to zero, even if the enzyme&#x2019;s affinity for PP<sub>i</sub> is comparatively low. However, measured values of <italic>K</italic>
<sub>m</sub> (the substrate concentration at half maximal enzymatic reaction rate) for PP<sub>i</sub> for sPPases are not high, and they tend to be in the range of 1&#x03BC;M to 1mM in <italic>E. coli</italic> (<xref ref-type="supplementary-material" rid="SM3">Supplementary Table S3</xref>) and values of catalytic rate tend to be on the order of 200&#x2013;400s<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="ref2">Avaeva, 2000</xref>; <xref ref-type="bibr" rid="ref24">Kajander et al., 2013</xref>), meaning that over long time scales, PPases keep PP<sub>i</sub> levels in cells too low to permit the enzymatic reactions of translation or nucleic acid polymerization from running backwards, especially at the extremely slow PP<sub>i</sub> production rates of starved microbial communities.</p>
<p>We say &#x201C;extremely slow PP<sub>i</sub> production rates.&#x201D; How slow is slow? We can provide an estimate. Starved cells are small. An exponentially growing <italic>E. coli</italic> cell has about 2 million proteins with on average 300 amino acids each (<xref ref-type="bibr" rid="ref42">Milo et al., 2010</xref>). If a starved cell is half that size, roughly 300 million peptide bonds are required for its formation. There are 32 million seconds in a year, such that if the turnover time of starved cell is on the order of 10years, one peptide bond per second is formed, on average, during the formation of the cell. That might not sound too slow, because a ribosome can form about 10 peptide bonds per second. But a small <italic>E. coli</italic> cell has on the order of 10,000 ribosomes, such that in a starved cell with a 10-year turnover time, an individual ribosome might perform an elongation step on the order of roughly once every 3h or 10<sup>&#x2212;4</sup> peptide bonds per second. In terms of molecular processes that are extremely slow, the rate of PP<sub>i</sub> production is 100,000 times slower than from translation during exponential growth. This example underscores the value to the cell of translation (aminoacyl tRNA synthesis) being an irreversible process over evolutionary timescales, and the essential function that irreversibility plays by acting as a ratchet&#x2019;s pawl to prohibit the back reaction of aminoacyl tRNA formation, quantitatively the most important energetic expense a cell encounters (<xref rid="fig1" ref-type="fig">Figure 1</xref>).</p>
<p>A second important point concerns (rare) examples in which sPPases are lacking in the genome such that PP<sub>i</sub> reaches high cytosolic concentrations rendering translation theoretically reversible. This can occur in cells that have PP<sub>i</sub>-based glycolysis, such as <italic>C. thermocellum</italic>, where ion-pumping membrane-bound PPases (mPPases) are present (<xref ref-type="bibr" rid="ref21">Holwerda et al., 2020</xref>). In such cells, which are sugar specialists, PP<sub>i</sub> levels can exceed 20mM during chemostat growth, whereby the metabolic source of such high PP<sub>i</sub> levels is still unclear and deletion of the <italic>C. thermocellum</italic> mPPase has no impact upon growth (<xref ref-type="bibr" rid="ref21">Holwerda et al., 2020</xref>). The existence of cells with PP<sub>i</sub>-dependent carbon metabolism lacking high activities of sPPases in chemostat growth on very rich medium do not invalidate Kornberg&#x2019;s principle of irreversibility over evolutionary timescales. Rather they constitute an evolutionarily derived special case of adaptation to growth on sugar. As outlined in the introduction, PP<sub>i</sub> utilizing glycolytic enzymes tend to occur among microbes that have specialized to sugar-rich environments, including human parasites such as <italic>Entamoeba</italic>, <italic>Giardia</italic>, and trypanosomes, or cellulose- and saccharose-degrading bacteria and archaea, but also in plants with their specialized sugar synthesizing compartment, the plastid. Proton-pumping mPPases are often associated with acidocalcisomes, membrane-bounded compartments that occur in some prokaryotes and in some eukaryotes including parasites and plants (<xref ref-type="bibr" rid="ref11">Docampo et al., 2005</xref>). The functions discussed for acidocalcisomes include among other things storage of cations, phosphate and polyphosphate, calcium signaling, and osmoregulation but no evidence for an involvement in energy metabolism of acidocalcisomes or their mPPase has emerged so far (<xref ref-type="bibr" rid="ref12">Docampo and Huang, 2016</xref>).</p>
<p>In the bigger picture of microbial evolution, sugar-dependent lifestyles cannot be ancestral, and they have to be derived. The early earth was barren and offered CO<sub>2</sub>, not glucose, as the main environmental carbon source (<xref ref-type="bibr" rid="ref64">Sch&#x00F6;nheit et al., 2016</xref>). In the modern crust (<xref ref-type="bibr" rid="ref69">Smith et al., 2019</xref>) and marine sediments (<xref ref-type="bibr" rid="ref47">Orsi et al., 2020</xref>), where most cells on Earth have always resided (<xref ref-type="bibr" rid="ref39">McMahon and Parnell, 2018</xref>), net growth is almost non-existent due to nutrient limitations (<xref ref-type="bibr" rid="ref47">Orsi et al., 2020</xref>). Particularly in low-energy environments, PP<sub>i</sub> irreversibility at the quantitatively dominant (in terms of PP<sub>i</sub> synthesis) AARS reaction acts like a ratchet&#x2019;s pawl that keeps aminoacyl tRNAs moving in solely in the direction of translation, even if translation is slow for reasons of substrate limitation or prolonged starvation.</p>
</sec>
</sec>
<sec id="sec13" sec-type="conclusions">
<title>Conclusion</title>
<sec id="sec14">
<title>Why Nature Chose Triphosphates</title>
<p>The role of PP<sub>i</sub> in evolution raises a question similar to Westheimer&#x2019;s &#x201C;why phosphate,&#x201D; namely &#x201C;why triphosphates?&#x201D; <xref ref-type="bibr" rid="ref79">Westheimer (1987)</xref> proposed that phosphates became energy carriers because of the metastability of the various bonds that phosphate forms with organic compounds under physiological conditions. By examining the role of PP<sub>i</sub> in the core and in the central dogma, we found that the central function of PP<sub>i</sub> producing reactions is not that of an energy currency in any case. In metabolism, PP<sub>i</sub> is always generated from nucleoside triphosphates. This is also true for mPPases, where the ion gradients that are required for PP<sub>i</sub> synthesis are generated at ATP expense. Formulated directly, we find no evidence that PP<sub>i</sub> served as a primordial energy currency or that it serves as an energy currency today. Rather, it appears that the role of PP<sub>i</sub> is to impart direction upon the most essential operations of life: biosynthesis of cofactors, the biosynthesis of the monomeric building blocks of proteins and nucleic acids, and the polymerization of those building blocks into the catalysts and information carriers of cells (<xref rid="fig1" ref-type="fig">Figure 1</xref>).</p>
<p>Why did nature specifically choose nucleoside triphosphates as the universal energy currency? That is a fundamentally different question from why nature chose phosphate (<xref ref-type="bibr" rid="ref79">Westheimer, 1987</xref>; <xref ref-type="bibr" rid="ref34">Liu et al., 2019</xref>) because many biological compounds harbor phosphate bonds with a large free energy of hydrolysis (<xref ref-type="bibr" rid="ref10">Decker et al., 1970</xref>), but only triphosphates are the universal energy currency in all lineages today. Irreversibility provides the answer. Triphosphates can generate either P<sub>i</sub> or PP<sub>i</sub>. This subtle property reveals why triphosphates became the universal energy currency in cells and why they have not been replaced in 4 billion years of evolution (<xref rid="fig2" ref-type="fig">Figure 2</xref>). How so?</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Role of nucleoside triphosphates in metabolic evolution. Coupling of ATP hydrolysis to P<sub>i</sub> and ADP or to phosphorylation releases &#x2212;32kJ&#x00B7;mol<sup>&#x2212;1</sup> under standard physiological conditions, shifting the equilibrium of otherwise mildly endergonic reactions in the direction of product formation. Such reactions are under thermodynamic control, the products are more stable than the educts, but such reactions are usually reversible under physiological conditions of the cell, unless &#x2206;<italic>G</italic> is very large. Coupling of ATP hydrolysis to PP<sub>i</sub> and AMP or to adenylation releases &#x2212;45kJ&#x00B7;mol<sup>&#x2212;1</sup> under standard physiological conditions, similar to the free energy change for acyl phosphate hydrolysis, but the ubiquitous presence of pyrophosphatase activity in cells leads to immediate PP<sub>i</sub> hydrolysis, such that a product for the reverse reaction is removed. Even if the reverse reaction was thermodynamically favorable, it cannot take place because an educt (PP<sub>i</sub>) is lacking, making the reverse reaction orders of magnitude slower than the forward reaction, placing it under kinetic control.</p>
</caption>
<graphic xlink:href="fmicb-12-759359-g002.tif"/>
</fig>
<p>Nucleoside triphosphates such as ATP have two phosphoanhydride bonds. The &#x03B2;-phosphate in ATP can be cleaved on either side (<xref rid="fig2" ref-type="fig">Figure 2</xref>). ATP-dependent enzymatic reactions that release P<sub>i</sub> utilize ATP as a currency of thermodynamic control, making &#x2206;<italic>G</italic> of the reaction sufficiently negative (or the net activation energy sufficiently low) to allow the reaction to go forward. ATP-dependent reactions that release PP<sub>i</sub> also have a thermodynamic component, but the irreversibility of the reaction conferred by PP<sub>i</sub> hydrolysis under physiological conditions places the reaction under kinetic rather than thermodynamic control.</p>
<p>No biochemical energy currency other than (nucleoside) triphosphates offers, within the same compound, the alternative of exerting either thermodynamic or kinetic control over a reaction. This property is specific to triphosphates. It allowed primordial enzymes to exert either kinetic control or thermodynamic control over catalyzed reactions, depending upon which anhydride bond of the &#x03B2;-phosphate was cleaved. This in turn imparted the option of evolutionary refinement of an initial catalytic activity among ATP utilizing enzymes according to the prevailing selective forces in a given cellular environment. An early onset of PP<sub>i</sub>-dependent irreversibility in metabolism would not require the presence of a pre-existing inorganic pyrophosphatase enzyme activity at the site of origins, because the reaction can be catalyzed by inorganic ions alone, such as Mg<sup>2+</sup> (<xref ref-type="bibr" rid="ref72">Stockbridge and Wolfenden, 2011</xref>), which catalyzes hydrolysis in the active site of many modern pyrophosphatase enzymes (<xref ref-type="bibr" rid="ref75">Varfolomeev and Gurevich, 2001</xref>).</p>
<p>This, in turn, is the reason why nucleoside triphosphates became fixed in both monomer and polymer biosynthesis in the metabolism of LUCA and have not been displaced since. From an ancestral state in which acyl phosphates provided thermodynamic impetus and a means of energetic coupling in enzymatic reactions, the advent of nucleoside triphosphates changed the nature of early biochemical evolution by introducing the option of kinetic irreversibility. Triphosphates offered primordial enzymes a means to exert either kinetic control or thermodynamic control over catalyzed reactions with one and the same energy currency. The only evident alternative solutions would have been (i) to maintain two distinct energetic currencies in the cell, one for energetic and one for kinetic purposes (an event for which there is no evidence) or (ii) to abandon one of the functions (which is not a viable option over evolutionary time). The ability of triphosphates to function in roughly 2/3 of phosphoanhydride bond expenditure as a currency of energy (thermodynamic drive) and in roughly 1/3 of phosphoanhydride bond expenditure as a currency of irreversibility (kinetic drive; <xref rid="fig1" ref-type="fig">Figure 1</xref>) is the reason they became &#x2013; and remained &#x2013; life&#x2019;s universal energy currency.</p>
</sec>
</sec>
<sec id="sec15" sec-type="data-availability">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM4">Supplementary Material</xref>; further inquiries can be directed to the corresponding author/s.</p>
</sec>
<sec id="sec16">
<title>Author Contributions</title>
<p>JW collected and analyzed data, participated in project design, and revised the manuscript. KK performed the kinetic calculations and contributed in data interpretation. WM wrote the first manuscript draft, performed literature research, visualization, and conceived and supervised the study. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="sec17" sec-type="funding-information">
<title>Funding</title>
<p>This work was supported by the European Research Council (Advanced Grants eMicrobevol and EcolMetabOrigin to WM), the Deutsche Forschungsgemeinschaft (Ma 1426/21-1 to WM), and the Volkswagen Foundation (VW 96742 to WM).</p>
</sec>
<sec id="conf1" sec-type="COI-statement">
<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 id="sec18" sec-type="disclaimer">
<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>
</body>
<back>
<ack>
<p>We thank Harun T&#x00FC;ys&#x00FC;z, William Orsi, Martina Preiner, Joana Xavier, Delfina Pereira, and Andrey do Nascimento Vieira for helpful discussions and the team of the central computing facility at the University of D&#x00FC;sseldorf (ZIM) for their support.</p>
</ack>
<sec id="sec19" sec-type="supplementary-material">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/fmicb.2021.759359/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/fmicb.2021.759359/full#supplementary-material</ext-link></p>
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<supplementary-material xlink:href="Table_2.XLSX" id="SM2" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Table_3.XLSX" id="SM3" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Data_Sheet_1.PDF" id="SM4" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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