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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Phys.</journal-id>
<journal-title>Frontiers in Physics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Phys.</abbrev-journal-title>
<issn pub-type="epub">2296-424X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">895813</article-id>
<article-id pub-id-type="doi">10.3389/fphy.2022.895813</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physics</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Coupled Antibacterial Effects of Plasma-Activated Water and Pulsed Electric Field</article-title>
<alt-title alt-title-type="left-running-head">Mentheour and Machala</alt-title>
<alt-title alt-title-type="right-running-head">Coupled PAW&#x002b;PEF Antibacterial Effects</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Mentheour</surname>
<given-names>Robin</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/853077/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Machala</surname>
<given-names>Zdenko</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1273412/overview"/>
</contrib>
</contrib-group>
<aff>
<institution>Division of Environmental Physics, Faculty of Mathematics</institution>, <institution>Physics and Informatics</institution>, <institution>Comenius University</institution>, <addr-line>Bratislava</addr-line>, <country>Slovakia</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/1206325/overview">Anna Guller</ext-link>, Macquarie University, Australia</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/149569/overview">Peter J. Bruggeman</ext-link>, University of Minnesota Twin Cities, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/986698/overview">Honghua Hu</ext-link>, Macquarie University, Australia</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1706897/overview">Isaac Ekoto</ext-link>, Sandia National Laboratories (DOE), United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Robin Mentheour, <email>robin.mentheour@gmail.com</email>, <email>orcid.org/0000-0001-8892-1311</email>; Zdenko Machala, <email>machala@fmph.uniba.sk</email>, <email>orcid.org/0000-0003-1424-1350</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Biophysics, a section of the journal Frontiers in Physics</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>18</day>
<month>07</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>895813</elocation-id>
<history>
<date date-type="received">
<day>14</day>
<month>03</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>24</day>
<month>06</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Mentheour and Machala.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Mentheour and Machala</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>In the biomedical applications of cold plasma, the dominant biological effect is most typically attributed to the reactive oxygen and nitrogen species (RONS), while the physical effect of electric fields is sometimes overlooked. Here, we investigated the antibacterial effect of RONS in plasma-activated water (PAW) on the inactivation of <italic>E. coli</italic> bacteria, coupled with a mild 200-nanosecond pulsed electric field (PEF) treatment. By using transient spark discharge plasma in open atmospheric air and closed air reactors, and by adding hydrogen peroxide (H<sub>2</sub>O<sub>2</sub>) into the PAW, different chemical compositions of RONS were obtained. We measured the time evolution of the concentrations of key species in the PAW post-discharge: <inline-formula id="inf1">
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</inline-formula> and H<sub>2</sub>O<sub>2</sub>. PAW rich in both <inline-formula id="inf2">
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<mml:mrow>
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</inline-formula> and H<sub>2</sub>O<sub>2</sub> showed an antibacterial effect, which was enhanced by the PEF, whereas PAW rich in <inline-formula id="inf3">
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</inline-formula> and poor in H<sub>2</sub>O<sub>2</sub> showed an enhancement of the antibacterial effect by the PEF only when H<sub>2</sub>O<sub>2</sub> was externally added. The presence of sufficient concentrations of both <inline-formula id="inf4">
<mml:math id="m4">
<mml:mrow>
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</inline-formula> and H<sub>2</sub>O<sub>2</sub> optimized the formation of peroxynitrous acid (ONOOH), which caused a strong peroxidation of the cell membranes leading to the cell death, but it also made them more vulnerable to the PEF treatment. The results suggest that the interaction with radicals during the bacteria exposure to PAW leads to an antibacterial effect reinforced by the pulsed electric field, hence showing a synergy of the chemical and physical plasma agents. This opens new perspectives for applications both plasma and PEF areas of research.</p>
</abstract>
<kwd-group>
<kwd>cold atmospheric plasma (CAP)</kwd>
<kwd>plasma activated water (PAW)</kwd>
<kwd>pulsed electric field (PEF)</kwd>
<kwd>
<italic>E. coli</italic> (<italic>Escherichia coli)</italic>
</kwd>
<kwd>antibacterial effect</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Pulsed electric fields (PEF) and cold atmospheric plasma biological treatments bring new applications, such as antibacterial sterilization, cancer therapy, improved wound healing, activation of seed germination and plant growth stimulation in agriculture, disinfection and improvement of food quality and shelf-life extension of food products, and water decontamination [<xref ref-type="bibr" rid="B1">1</xref>, <xref ref-type="bibr" rid="B2">2</xref>]. PEF and cold plasma have some common mechanisms of action: electropermeabilization and electroporation of cell membranes due to the electric field [<xref ref-type="bibr" rid="B3">3</xref>&#x2013;<xref ref-type="bibr" rid="B5">5</xref>] and induced production of intracellular reactive oxygen species (ROS) [<xref ref-type="bibr" rid="B6">6</xref>]. Together with pH decrease in water solutions, these effects play important roles in these emerging applications.</p>
<p>The plasma sources used for biological applications are represented by a multitude of atmospheric cold plasmas, among which streamer corona, dielectric barrier discharge (DBD) [<xref ref-type="bibr" rid="B1">1</xref>], helium and argon plasma jets [<xref ref-type="bibr" rid="B7">7</xref>], glow discharge, guiding arc [<xref ref-type="bibr" rid="B8">8</xref>, <xref ref-type="bibr" rid="B9">9</xref>], and transient spark [<xref ref-type="bibr" rid="B10">10</xref>, <xref ref-type="bibr" rid="B11">11</xref>] are well described to induce antibacterial effects. They were also demonstrated to be efficient in other applications, such as cancer therapy [<xref ref-type="bibr" rid="B7">7</xref>, <xref ref-type="bibr" rid="B12">12</xref>&#x2013;<xref ref-type="bibr" rid="B14">14</xref>], gene transfer [<xref ref-type="bibr" rid="B15">15</xref>], plant growth simulation [<xref ref-type="bibr" rid="B16">16</xref>], food industry [<xref ref-type="bibr" rid="B17">17</xref>], and wound healing [<xref ref-type="bibr" rid="B18">18</xref>, <xref ref-type="bibr" rid="B19">19</xref>]. The mechanisms and the importance of individual effects of plasma agents, and their synergies are not completely understood and are being subjected to intense investigations [<xref ref-type="bibr" rid="B13">13</xref>]. They depend on plasma source type, geometry, power delivered, gas molecular composition and humidity [<xref ref-type="bibr" rid="B20">20</xref>], ambient pressure and temperature, and target type [<xref ref-type="bibr" rid="B7">7</xref>].</p>
<p>The main plasma agents responsible of antibacterial properties are UV radiation, electric field, and especially reactive oxygen and nitrogen species (RONS). The UV radiation (UVA&#x2013;UVB) generated by plasma is usually not energetic enough to directly inactivate bacteria [<xref ref-type="bibr" rid="B21">21</xref>], but it is able to generate RONS in air, which are known for their antibacterial activity or can synergize with plasma-generated RONS [<xref ref-type="bibr" rid="B22">22</xref>].</p>
<p>RONS are mainly generated by the reactions of free electrons of the plasma or are the by-products of reactions between radicals and other RONS. RONS generated by plasma are usually classified in two categories. First, species with short lifetime (&#x223c;ns&#x2013;&#xb5;s&#x2013;ms), for example, superoxide ion, such as <inline-formula id="inf5">
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</inline-formula>, and radicals, such as <sup>&#x2022;</sup>OH, <sup>&#x2022;</sup>NO, O&#x2022;, and H&#x2022; [<xref ref-type="bibr" rid="B23">23</xref>], which are difficult to detect, especially once they are dissolved in a liquid. Once the plasma is turned off, the short lifetime RONS, especially the radicals, rapidly dissipate. The second category are the long lifetime RONS (&#x223c;s&#x2013;min&#x2013;h), such as hydrogen peroxide, H<sub>2</sub>O<sub>2</sub>; nitrous oxide, NO; nitric oxide, <inline-formula id="inf6">
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</inline-formula>; and ozone, O<sub>3</sub>, which are transported into liquids and form aqueous forms of H<sub>2</sub>O<sub>2</sub>, O<sub>3</sub>, and nitrites and nitrates (<inline-formula id="inf7">
<mml:math id="m7">
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<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
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<mml:mn>2</mml:mn>
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</inline-formula> and <inline-formula id="inf8">
<mml:math id="m8">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
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</inline-formula>). Gaseous ozone and nitrogen oxides (NOx) can be quantified by infrared spectroscopy [<xref ref-type="bibr" rid="B24">24</xref>, <xref ref-type="bibr" rid="B25">25</xref>] and gas chromatography, and some radicals, such as <sup>&#x2022;</sup>NO, <sup>&#x2022;</sup>OH, and H<sub>2</sub>O<sub>2</sub>, by laser-induced fluorescence. <sup>&#x2022;</sup>OH,<sup>&#x2022;</sup>OH<sub>2</sub>, and <sup>&#x2022;</sup>NO radicals generated in liquids are also measured using chemical probes, absorption/fluorescence spectroscopy, electron spin resonance spectrometry with specific spin traps [<xref ref-type="bibr" rid="B23">23</xref>], or nuclear magnetic resonance spectroscopy [<xref ref-type="bibr" rid="B20">20</xref>].</p>
<p>The presence of water in air plasma can significantly influence the plasma-induced gas-phase chemistry. Highly reactive hydroxyl (<sup>&#x2022;</sup>OH) radical can be produced by several reactions, for example, by <xref ref-type="disp-formula" rid="e1">Eqs. 1</xref>, <xref ref-type="disp-formula" rid="e2">2</xref>.<disp-formula id="e1">
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<label>(1)</label>
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<label>(2)</label>
</disp-formula>
</p>
<p>The <sup>&#x2022;</sup>OH radicals recombine resulting in further reactive oxygen species (ROS), such as H<sub>2</sub>O<sub>2</sub> (<xref ref-type="disp-formula" rid="e3">Eq. 3</xref>) and <sup>&#x2022;</sup>HO<sub>2.</sub> [<xref ref-type="bibr" rid="B24">24</xref>, <xref ref-type="bibr" rid="B26">26</xref>].<disp-formula id="e3">
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</disp-formula>
</p>
<p>The NO and <inline-formula id="inf9">
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</inline-formula>gases are generated by gas-phase reactions of plasma-dissociated N<sub>2</sub> and O<sub>2</sub>. The <sup>&#x2022;</sup>NO radical was detected in the gas phase and is a precursor of NOx molecules in the gas phase. The <sup>&#x2022;</sup>OH radicals react with plasma formed NOx and other RNS, resulting in <inline-formula id="inf10">
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</inline-formula>(<xref ref-type="disp-formula" rid="e4">Eq. 4</xref>) and <inline-formula id="inf11">
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<mml:mn>3</mml:mn>
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</mml:mrow>
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</inline-formula> [<xref ref-type="bibr" rid="B9">9</xref>, <xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B24">24</xref>, <xref ref-type="bibr" rid="B27">27</xref>].<disp-formula id="e4">
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<label>(4)</label>
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<p>Water (either deionized or in various water solutions) treated by plasma, so-called plasma-activated water (PAW), receives RONS from the plasma and retains their biophysical activity, such as antibacterial effects, which makes PAW transportable and applicable even after the plasma treatment [<xref ref-type="bibr" rid="B8">8</xref>, <xref ref-type="bibr" rid="B9">9</xref>, <xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B23">23</xref>, <xref ref-type="bibr" rid="B24">24</xref>, <xref ref-type="bibr" rid="B28">28</xref>, <xref ref-type="bibr" rid="B29">29</xref>].</p>
<p>The dissolution of species from the gas phase into the liquid phase is driven in the first approximation by Henry&#x2019;s law. The Henry&#x2019;s law solubility coefficient of H<sub>2</sub>O<sub>2</sub> (k<sub>H</sub>&#x2248;10<sup>3</sup>&#xa0;mol&#xa0;m<sup>&#x2212;3</sup>&#xa0;Pa<sup>&#x2212;1</sup>) is about 7&#x2013;8 orders of magnitude larger than that of NO (&#x2248;2 &#xd7; 10<sup>&#x2212;5</sup>&#xa0;mol&#xa0;m<sup>&#x2212;3</sup>&#xa0;Pa<sup>&#x2212;1</sup>) or <inline-formula id="inf12">
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</mml:mrow>
</mml:math>
</inline-formula> (&#x2248;10<sup>&#x2212;4</sup>&#xa0;mol&#xa0;m<sup>&#x2212;3</sup>&#xa0;Pa<sup>&#x2212;1</sup>) or O<sub>3</sub> (&#x2248;10<sup>&#x2212;4</sup>&#xa0;mol&#xa0;m<sup>&#x2212;3</sup>&#xa0;Pa<sup>&#x2212;1</sup>). PAW chemical composition depends on the gaseous RONS generated by the plasma source, which are transported in PAW according to their concentrations in gas and liquid, their interface area, and their Henry&#x2019;s law coefficients. Under certain conditions, plasma products accumulate in the air, especially NO and <inline-formula id="inf13">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>gases [<xref ref-type="bibr" rid="B28">28</xref>], and dissolve in water [<xref ref-type="disp-formula" rid="e5">Eqs 5</xref>&#x2013;<xref ref-type="disp-formula" rid="e7">7</xref>] while acidifying PAW and generating <inline-formula id="inf14">
<mml:math id="m18">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf15">
<mml:math id="m19">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> in the liquid [<xref ref-type="bibr" rid="B10">10</xref>, <xref ref-type="bibr" rid="B29">29</xref>].<disp-formula id="e5">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">q</mml:mi>
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</mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mrow>
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<mml:mrow>
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<mml:mi mathvariant="normal">H</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">l</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2192;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msup>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mo>&#x2b;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
<disp-formula id="e6">
<mml:math id="m21">
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
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<mml:mo>)</mml:mo>
</mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">q</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
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<mml:msub>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="normal">H</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">l</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2192;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msup>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mo>&#x2b;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
<disp-formula id="e7">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">q</mml:mi>
</mml:mrow>
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</mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="normal">H</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">l</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2192;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msup>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mo>&#x2b;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
</p>
<p>The main long-lifetime species measured in PAW are nitrites (<inline-formula id="inf16">
<mml:math id="m23">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>), nitrates (<inline-formula id="inf17">
<mml:math id="m24">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>), ozone (O<sub>3</sub>), and hydrogen peroxide (H<sub>2</sub>O<sub>2</sub>). The dissolution of NOx (<xref ref-type="disp-formula" rid="e5">Eqs 5</xref>&#x2013;<xref ref-type="disp-formula" rid="e7">7</xref>) and <inline-formula id="inf18">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (pK<sub>a</sub> [<inline-formula id="inf19">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>/<inline-formula id="inf20">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>]&#x3d;3.4) [<xref ref-type="bibr" rid="B3">3</xref>] in PAW are responsible for the presence of nitrites <inline-formula id="inf21">
<mml:math id="m28">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>. The Henry&#x2019;s law coefficient of gaseous HNO<sub>2</sub> is several orders of magnitude higher than that of NO and NO<sub>2</sub>, which brings the hypothesis that <inline-formula id="inf22">
<mml:math id="m29">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> in liquid dominantly comes from HNO<sub>2</sub> rather than from NO &#x2b; NO<sub>2</sub> dissolution. This was experimentally evidenced in the study mentioned in reference [<xref ref-type="bibr" rid="B30">30</xref>]. A reduced pH value (acidity) is also typical in PAW made from non-buffered water solution [<xref ref-type="bibr" rid="B10">10</xref>, <xref ref-type="bibr" rid="B28">28</xref>, <xref ref-type="bibr" rid="B29">29</xref>, <xref ref-type="bibr" rid="B31">31</xref>].</p>
<p>In contrast to NOx, H<sub>2</sub>O<sub>2</sub> is much more soluble in water than NOx, due to its high Henry&#x2019;s law coefficient. Thus, most of gaseous H<sub>2</sub>O<sub>2</sub> is immediately absorbed by the liquid. The measured H<sub>2</sub>O<sub>2</sub> in the liquid phase comes dominantly from this dissolution from the air plasma through the plasma&#x2013;liquid interface, as studied by references [<xref ref-type="bibr" rid="B20">20</xref>, <xref ref-type="bibr" rid="B32">32</xref>] and [<xref ref-type="bibr" rid="B33">33</xref>]. H<sub>2</sub>O<sub>2</sub> is typically one of the main components of PAW and plays a key role in radical production and in the antibacterial effect. A combination of PAW and H<sub>2</sub>O<sub>2</sub> was tested on <italic>S. aureus</italic> and led to a significant antibacterial effect in comparison with their individual effects [<xref ref-type="bibr" rid="B34">34</xref>].</p>
<p>H<sub>2</sub>O<sub>2</sub> reacts with <inline-formula id="inf23">
<mml:math id="m30">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> in acidic conditions and produces peroxynitrous acid, ONOOH, (<xref ref-type="disp-formula" rid="e8">Eq. 8</xref>) [<xref ref-type="bibr" rid="B7">7</xref>, <xref ref-type="bibr" rid="B9">9</xref>, <xref ref-type="bibr" rid="B10">10</xref>, <xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B28">28</xref>] or its ionic form peroxynitrite, ONOO<sup>&#x2212;</sup>, [<xref ref-type="bibr" rid="B1">1</xref>, <xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B24">24</xref>, <xref ref-type="bibr" rid="B29">29</xref>, <xref ref-type="bibr" rid="B31">31</xref>]. This pH- and temperature-dependent co-destruction of <inline-formula id="inf24">
<mml:math id="m31">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and H<sub>2</sub>O<sub>2</sub> brings a competition between <inline-formula id="inf25">
<mml:math id="m32">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and H<sub>2</sub>O<sub>2</sub> in PAW and affects the chemical kinetics (<xref ref-type="disp-formula" rid="e9">Eq. 9</xref>) [<xref ref-type="bibr" rid="B29">29</xref>]. This competition can lead, depending on their original concentrations, to either <inline-formula id="inf26">
<mml:math id="m33">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>-dominant or H<sub>2</sub>O<sub>2</sub>-dominant PAW.<disp-formula id="e8">
<mml:math id="m34">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mo>&#x2b;</mml:mo>
</mml:msup>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2192;</mml:mo>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
<disp-formula id="e9">
<mml:math id="m35">
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>k</mml:mi>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
</p>
<p>The kinetic rate constant of the reaction (<xref ref-type="disp-formula" rid="e8">Eq. 8</xref>) is k&#x3d;1.1 &#xd7; 10<sup>&#x2212;3</sup>&#xa0;M<sup>&#x2212;2</sup>&#xa0;s<sup>&#x2212;1</sup>&#xa0;at pH 3.3 [<xref ref-type="bibr" rid="B28">28</xref>]. Peroxynitrous acid, ONOOH, is considered as a key factor in antibacterial effect of PAW in acidic conditions [<xref ref-type="bibr" rid="B10">10</xref>, <xref ref-type="bibr" rid="B24">24</xref>]. Its antibacterial effect was attributed to the degradation products of peroxynitrous acid, which to 30% generates radicals <sup>&#x2022;</sup>NO<sub>2</sub> and <sup>&#x2022;</sup>OH and the other 70% is converted to nitrate <inline-formula id="inf27">
<mml:math id="m36">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> [<xref ref-type="bibr" rid="B28">28</xref>]. The radical <sup>&#x2022;</sup>OH is known to cause lipid peroxidation of the cell membranes.</p>
<p>Direct plasma biomedical effects are typically stronger than indirect (remote) effects of PAW. Reactive species with a short lifetime are the best candidates to explain this difference, but the difficulty in quantifying and producing these species makes it complicated to evaluate their roles in the antibacterial effect [<xref ref-type="bibr" rid="B21">21</xref>].</p>
<p>The presence of an electric field is another obvious difference between direct plasma and the PAW treatments. Focusing on the effects of the electric field and their synergy with RONS can help us to advance the understanding of plasma treatments in a broader perspective. Studies of E-field measurements in plasma jets [<xref ref-type="bibr" rid="B35">35</xref>&#x2013;<xref ref-type="bibr" rid="B37">37</xref>] applied for plasma medical applications demonstrated that an E-field is an important agent in plasma-induced biological effects. This is the key motivation of this study to study the separate and the combined effects of RONS in PAW and the pulsed electric field.</p>
<p>The PEF application typically leads to permeabilization of the cell membrane, which may be reversible. Increased pulse length, pulse amplitude, and numbers of pulses lead to irreversible electroporation, that is, cell death. The application of electrical pulses sufficient to produce a transient, elevated transmembrane potential of typically 200&#xa0;mV&#x2013;1&#xa0;V is required for the formation of pores, which perforate the membrane and are filled by water molecules (the so-called aqueous or hydrophilic pores). This transmembrane potential charges the membrane due to the ion flow and leads to a rapid, localized rearrangement of the molecular structure of the membrane. In some circumstances, when the external electric field is removed, the membrane recovers [<xref ref-type="bibr" rid="B38">38</xref>].</p>
<p>The RONS coming from the plasma can be responsible for membrane phospholipid peroxidation. Especially, <sup>&#x2022;</sup>OH radicals oxidize unsaturated bonds of membrane lipids by fragmentation to truncated-chain lipids and fatty aldehydes. This lipid peroxidation facilitates electropermeabilization and electroporation by reducing the membrane thickness, increasing its fluidity, and facilitating the electroporation by a low E-field [<xref ref-type="bibr" rid="B39">39</xref>], leading to a drop in the average time needed to initiate electroporation [<xref ref-type="bibr" rid="B40">40</xref>] and a lower threshold electric field needed for pore formation [<xref ref-type="bibr" rid="B40">40</xref>&#x2013;<xref ref-type="bibr" rid="B44">44</xref>]. In certain cases, lipid peroxidation can produce the formation of pores on the order of 10&#xa0;nm&#x2013;1&#xa0;&#xb5;m in size [<xref ref-type="bibr" rid="B39">39</xref>, <xref ref-type="bibr" rid="B43">43</xref>].</p>
<p>The interactions between PAW and PEF were investigated by several studies, for example, on bacteria [<xref ref-type="bibr" rid="B45">45</xref>] and cancer cells [<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B46">46</xref>&#x2013;<xref ref-type="bibr" rid="B48">48</xref>], and gave promising results by improving the effectiveness of each individual method. The study mentioned in reference [<xref ref-type="bibr" rid="B49">49</xref>] has shown that corona discharge plasma for the same energy was more efficient than PEF for an antibacterial effect. The permeabilization of the cells induced by the electric pulses facilitated the antibacterial or anticancer effect of the RONS by penetration into the cancer cells [<xref ref-type="bibr" rid="B50">50</xref>]. In addition, the effect of pH could affect the resistance of bacteria to the PEF. Gram-positive bacteria are more resistant at pH&#x3d;7 and weaker at pH&#x3d;4, while Gram-negative ones are more resistant at pH&#x3d;4 and weaker at pH&#x3d;7 [<xref ref-type="bibr" rid="B51">51</xref>].</p>
<p>In this study, we exposed <italic>E. coli</italic> in the planktonic form to two different types of PAW, generated by the transient spark discharge with a water electrospray (TS-ES) in open air and transient spark batch water treatment (TS-B) generated in a closed air reactor. TS-ES has been investigated in detail in the precedent works of our group [<xref ref-type="bibr" rid="B10">10</xref>, <xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B24">24</xref>], showing strong antibacterial effects for both direct and indirect (PAW) treatment and associated these effects with the gas and liquid phase plasma-induced chemistry. The antibacterial action of TS-B compared with TS-ES and other air discharges treating batch water against uropathogenic infections were studied recently by the study mentioned in reference [<xref ref-type="bibr" rid="B52">52</xref>]. In this study, the RONS composition of these two types of PAW were analyzed directly as produced, or was reinforced in the content of hydrogen peroxide by adding H<sub>2</sub>O<sub>2</sub> commercial solution of different concentration values. The antibacterial and chemical effects of PAW only, PAW with added H<sub>2</sub>O<sub>2</sub>, and the coupled effects of PAW &#x2b; PEF were investigated.</p>
</sec>
<sec id="s2">
<title>2 Methodology</title>
<p>We exposed <italic>E. coli</italic> in the planktonic form to two different types of PAW (<xref ref-type="fig" rid="F1">Figure 1</xref>), generated by the transient spark discharge with water electrospray (TS-ES) in open atmospheric air and transient spark batch treatment (TS-B) generated in closed air reactor. The antibacterial action of these two types of PAW was tested as they were produced, or were reinforced by adding H<sub>2</sub>O<sub>2</sub> commercial solution of different concentration values. The control and H<sub>2</sub>O<sub>2</sub> only condition were also tested in the same way as the other PAWs. Bacteria were diluted in the PAW with a ratio of 1:100 (overnight culture: PAW) and incubated for 10&#xa0;min. A fraction of the incubated bacteria in PAW was sampled and placed in a commercial electroporation cuvette where PEF was applied. The bacteria were not separated from the PAW, and no supplementary liquid was used in the electroporation cuvette. The PEF treatment was applied to the cuvette 2&#xa0;min after the beginning of the incubation and then all bacteria finished their total 10&#xa0;min incubation in PAW. Rapid dilutions of the treated bacterial solutions were carried out before being placed in Petri dishes with agar for an overnight incubation.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Schematics of the experiment to investigate the antibacterial effect of PEF, PAW, and the coupled PAW &#x2b; PEF.</p>
</caption>
<graphic xlink:href="fphy-10-895813-g001.tif"/>
</fig>
<sec id="s2-1">
<title>2.1 Transient Spark in the Batch System in the Closed Air Reactor</title>
<p>Deionized water (DW) is activated by plasma (<xref ref-type="fig" rid="F2">Figures 2A,B</xref>) in a 1L cube-shaped plastic reactor. One side of the cube can be removed, what is here called the &#x201c;Open reactor&#x201d; condition, or closed, blocking the renewal of gases from the outside ambient air, what we call the &#x201c;Closed reactor&#x201d;. In the reactor, DC-driven transient spark (TS) discharge in positive polarity was generated between the high voltage needle and a surface of 5&#xa0;ml of DW. DW was contained in a 3-cm-diameter glass Petri dish where a ground stainless steel wire ring electrode was immersed on the dish bottom. TS discharge was initiated by a high electric field that causes a cascade of ionizations by forming pre-spark streamers, which produce ions and pre-heat the channel. Once the channel is sufficiently conductive, the spark appears through the channel as a strong current peak with the amplitude of 1&#x2013;3 A and duration of 50&#x2013;150&#xa0;ns accompanied by a fast voltage drop. A 10&#xa0;M&#x2126; ballast resistor was placed in series on the output of the HV generator. The electrical discharge parameters were recorded by a digital oscilloscope <italic>Tektronix TDS 2024C</italic>, the voltage was measured by a high voltage (HV) probe Tektronix P6015A, and the discharge current was measured by a Rogowski coil (Pearson Electronics 2877).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> Photo of a typical transient spark discharge in the batch (TS-B) discharge in the closed air reactor. <bold>(B)</bold> Experimental setup of TS-B closed air reactor. <bold>(C)</bold> Photo of a typical transient spark with water electrospray (TS-ES) open air discharge. <bold>(D)</bold> Photo of a typical TS-ES open air discharge.</p>
</caption>
<graphic xlink:href="fphy-10-895813-g002.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>2.2 Transient Spark With a Water Electrospray in Open Air</title>
<p>Plasma-activated water (PAW) in the water electrospray system (<xref ref-type="fig" rid="F2">Figures 2C,D</xref>) was created from DW flowing through a high voltage needle placed 1&#xa0;cm from a metal grid grounded through a 1&#xa0;&#x2126; resistor. DW was injected directly into the TS discharge by a syringe pump at the flow rate 1&#xa0;ml/min and electro-sprayed. More details on the TS with the water electrospray system can be found in our previous studies, for example, [<xref ref-type="bibr" rid="B10">10</xref>, <xref ref-type="bibr" rid="B24">24</xref>, <xref ref-type="bibr" rid="B53">53</xref>&#x2013;<xref ref-type="bibr" rid="B55">55</xref>] The PAW was collected in a sterile Petri dish under the grid electrode. Voltage was measured at the needle by a HV probe Tektronix P6015A. Maximum voltage was 15&#xa0;kV. Current was measured as the voltage drop across the 1&#xa0;&#x2126; resistor between the grid and the ground. TS with DW electrospray in this configuration typically creates the current pulses of 27&#x2013;30 A. The oscilloscope measured the frequency of the discharge pulses, which is related to the applied voltage. This frequency is maintained at 1&#xa0;kHz (&#x2b;/&#x2212; 200&#xa0;Hz) by controlling the output voltage of a DC HV generator. A 10&#xa0;M&#x2126; ballast resistor was placed on the output of the HV generator.</p>
</sec>
<sec id="s2-3">
<title>2.3 Bacteria Cultivation</title>
<p>Bacteria suspension of Gram-negative <italic>E. coli</italic> (ATCC 25922) was suspended in water in the planktonic form with an initial population of 10<sup>6</sup> to 10<sup>7</sup> colony forming units per ml (CFU/ml<sup>&#x2212;1</sup>). The suspensions were prepared by the dissolution of bacteria cultivated on sterile liquid nutrient (Lauria&#x2013;Bertani broth, Biolab). After overnight cultivation (&#x223c;18&#xa0;h at 37&#xb0;C) bacteria were active and vital. The plasma experiments with bacterial suspensions were performed with PAW generated by TS-ES open air discharge and closed air TS-B, both operating in ambient atmospheric air with water electrospray or batch treatment and were repeated 3&#x2013;10&#xa0;times. The number of bacteria cells in the suspension was evaluated immediately after plasma treatment by counting CFUs cultivated on agar plates (Lauria&#x2013;Bertani agar, Biolab) for 16&#x2013;18&#xa0;h at 37&#xb0;C. Just after experiment, bacteria were diluted several times into saline solution (0.85% NaCl) to stop the plasma agents&#x2019; activity. They were spread on agar plates in Petri dishes and incubated overnight. The standard colony forming unit (CFU) cultivation method was employed. The numbers of repetitions per each type of experiment are presented in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Number of repetitions of <italic>E. coli</italic> antibacterial experiment for the different experimental conditions.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th colspan="2" align="center">TS-B</th>
<th colspan="2" align="center">TS-ES</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">Experimental condition</td>
<td align="center">CT</td>
<td align="center">PEF</td>
<td align="center">CT</td>
<td align="center">PEF</td>
</tr>
<tr>
<td align="center">TS-B</td>
<td align="center">TS-B</td>
<td align="center">TS-ES</td>
<td align="center">TS-ES</td>
</tr>
<tr>
<td align="left">
<italic>Number of repetitions</italic>
</td>
<td align="center">
<italic>8</italic>
</td>
<td align="center">
<italic>4</italic>
</td>
<td align="center">
<italic>6</italic>
</td>
<td align="center">
<italic>4</italic>
</td>
</tr>
<tr>
<td align="left">Experimental condition</td>
<td align="center">TS-B</td>
<td align="center">TS-B &#x2b; PEF</td>
<td align="center">TS-ES</td>
<td align="center">TS-ES &#x2b; PEF</td>
</tr>
<tr>
<td align="left">
<italic>Number of repetitions</italic>
</td>
<td align="center">
<italic>8</italic>
</td>
<td align="center">
<italic>8</italic>
</td>
<td align="center">
<italic>6</italic>
</td>
<td align="center">
<italic>6</italic>
</td>
</tr>
<tr>
<td align="left">Experimental condition</td>
<td align="center">TS-B &#x2b; 100&#xa0;&#xb5;M H<sub>2</sub>O<sub>2</sub>
</td>
<td align="center">TS-B &#x2b; 100&#xa0;&#xb5;M H<sub>2</sub>O<sub>2</sub>&#x2b; PEF</td>
<td align="center">TS-ES &#x2b; 1&#xa0;mM H<sub>2</sub>O<sub>2</sub>
</td>
<td align="center">TS-ES &#x2b; 1&#xa0;mM H<sub>2</sub>O<sub>2</sub> &#x2b; PEF</td>
</tr>
<tr>
<td align="left">
<italic>Number of repetitions</italic>
</td>
<td align="center">
<italic>4</italic>
</td>
<td align="center">
<italic>4</italic>
</td>
<td align="center">
<italic>6</italic>
</td>
<td align="center">
<italic>6</italic>
</td>
</tr>
<tr>
<td align="left">Experimental condition</td>
<td align="center">TS-B &#x2b; 500&#xa0;&#xb5;M H<sub>2</sub>O<sub>2</sub> &#x2b; PEF</td>
<td align="center">TS-B &#x2b; 500&#xa0;&#xb5;M H<sub>2</sub>O<sub>2</sub> &#x2b; PEF</td>
<td align="center">TS-ES &#x2b; 2&#xa0;mM H<sub>2</sub>O<sub>2</sub>
</td>
<td align="center">TS-ES &#x2b; 2&#xa0;mM H<sub>2</sub>O<sub>2</sub> &#x2b; PEF</td>
</tr>
<tr>
<td align="left">
<italic>Number of repetitions</italic>
</td>
<td align="center">
<italic>4</italic>
</td>
<td align="center">
<italic>4</italic>
</td>
<td align="center">
<italic>6</italic>
</td>
<td align="center">
<italic>6</italic>
</td>
</tr>
<tr>
<td align="left">Experimental condition</td>
<td align="center">TS-B &#x2b; 1&#xa0;mM</td>
<td align="center">TS-B &#x2b; 1&#xa0;mM H<sub>2</sub>O<sub>2</sub> &#x2b; PEF</td>
<td align="center">TS-ES &#x2b; 10&#xa0;mM H<sub>2</sub>O<sub>2</sub>
</td>
<td align="center">TS-ES&#x2b; 10&#xa0;mM H<sub>2</sub>O<sub>2</sub> &#x2b; PEF</td>
</tr>
<tr>
<td align="left">
<italic>Number of repetitions</italic>
</td>
<td align="center">
<italic>3</italic>
</td>
<td align="center">
<italic>3</italic>
</td>
<td align="center">
<italic>6</italic>
</td>
<td align="center">
<italic>6</italic>
</td>
</tr>
<tr>
<td align="left">Experimental condition</td>
<td align="center">TS-B &#x2b; 2&#xa0;mM H<sub>2</sub>O<sub>2</sub>
</td>
<td align="center">TS-B &#x2b; 2&#xa0;mM H<sub>2</sub>O<sub>2</sub> &#x2b; PEF</td>
<td colspan="2" align="left"/>
</tr>
<tr>
<td align="left">
<italic>Number of repetitions</italic>
</td>
<td align="center">
<italic>3</italic>
</td>
<td align="center">
<italic>3</italic>
</td>
<td colspan="2" align="center">
<italic>H<sub>2</sub>O<sub>2</sub>
</italic>
</td>
</tr>
<tr>
<td align="left">Experimental condition</td>
<td align="center">TS-B &#x2b; 10&#xa0;mM H<sub>2</sub>O<sub>2</sub>
</td>
<td align="center">TS-B &#x2b; 10&#xa0;mM H<sub>2</sub>O<sub>2</sub> &#x2b; PEF</td>
<td align="center">H<sub>2</sub>O<sub>2</sub> only</td>
<td align="center">H<sub>2</sub>O<sub>2</sub> &#x2b;PEF</td>
</tr>
<tr>
<td align="left">
<italic>Number of repetitions</italic>
</td>
<td align="center">
<italic>4</italic>
</td>
<td align="center">
<italic>4</italic>
</td>
<td align="center">
<italic>7</italic>
</td>
<td align="center">
<italic>7</italic>
</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-4">
<title>2.4 Pulsed Electric Field Application</title>
<p>PAW containing the long-lived RONS is subjected to the pulsed electric field (PEF) to investigate the synergic antibacterial effects of PAW and PEF. <italic>E. coli</italic> bacteria in the planktonic form in PAW (or DW for reference) were placed in an electroporation cuvette (VWR 732&#x2013;1136) with a 2&#xa0;mm interelectrode distance between the planar aluminum electrodes containing 400&#xa0;&#x3bc;L of liquid. The applied high voltage from SR20-R-1200 Technix power supply was driven by a low voltage 5&#xa0;V square signal from a function generator controlling a fast high voltage switch (Behlke HTS 301-03GSM). It allowed for the generation of a sequence of square high voltage pulses of 2.5&#xa0;kV amplitude and 200 ns duration, applied during 100&#xa0;s at a frequency of 100&#xa0;Hz in the electroporation cuvette. The voltage was measured by HV probe Tektronix P6015A, and the discharge current was measured by a Rogowski coil (Pearson Electronics 2877). The electrical characteristics were recorded by oscilloscope Tektronix TDS 2024C.</p>
<p>The conductivity of PAW varies with respect to the DW according to the plasma activation times due to the addition of ions. The conductivity was measured by a conductivity meter [GREISINGER Electronique GMH 3430]. The original DW conductivity was 1&#x2013;2&#xa0;&#x3bc;S/cm. The plasma activation times 3, 4, and 5&#xa0;min in a batch closed reactor gave PAW conductivities of 700&#xa0;&#x3bc;S/cm, 975.5&#xa0;&#x3bc;S/cm, and 1175&#xa0;&#x3bc;S/cm, respectively, while the open TS-electrospray reactor made PAW of 474 &#xb1; 5&#xa0;&#x3bc;S/cm. This variable PAW conductivity strongly influenced the amplitude and shape of the square high voltage pulses from the generator. To apply PEFs of similar current/voltage pulse characteristic for the experimental condition &#x201c;PAW &#x2b; PEF&#x201d; and the condition &#x201c;PEF only&#x201d;, the conductivity of the control was adjusted to 700&#xa0;&#x3bc;S/cm by the addition of NaCl in DW.</p>
</sec>
<sec id="s2-5">
<title>2.5 Chemical Measurements of RONS in PAW</title>
<p>Long-lived RONS in the PAW are measured by UV/VIS absorption colorimetric methods (spectrophotometer Shimadzu UV-1900).</p>
<p>For hydrogen peroxide H<sub>2</sub>O<sub>2,</sub> the colorimetric method described in the study mentioned in reference [<xref ref-type="bibr" rid="B56">56</xref>] is applied. A volume of 100 &#x3bc;L of PAW sample is mixed with 10&#xa0;&#x3bc;L of sodium azide to eliminate the nitrite which reacts with H<sub>2</sub>O<sub>2</sub> and then 50&#xa0;&#xb5;L of titanium sulfonate reagent is added to produce pertitanic acid (<xref ref-type="disp-formula" rid="e10">Eq.10</xref>), a yellow color complex, with an absorption peak at 407&#xa0;nm. According to Lambert&#x2013;Beer&#x2019;s law, the concentration of hydrogen peroxide is proportional to the absorption (our calibration gives a molar extinction coefficient &#x3b5; &#x3d; 4,03 &#xd7; 10<sup>2</sup>&#xa0;L&#xa0;mol<sup>&#x2212;1</sup>.cm<sup>&#x2212;1</sup>).<disp-formula id="e10">
<mml:math id="m37">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>4</mml:mn>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mo>&#x2192;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>4</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mo>&#x2b;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
</p>
<p>In the same way, nitrite <inline-formula id="inf28">
<mml:math id="m38">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> concentration is measured using a Nitrate/Nitrite Colorimetric Assay Kit (&#x23; 780001, Cayman Chemicals) to proceed with the measurement of the absorption peak at 540&#xa0;nm. However, the typical PAW nitrite concentration is too high for the measurement, thus 1:40 dilution of the PAW in DW is applied. We sampled 50&#xa0;&#xb5;L to mix with the 25&#xa0;&#xb5;L Griess reagent 1 and then 25&#xa0;&#xb5;L of Griess reagent 2 of the kit. After waiting 10&#xa0;min for the coloration, the absorption peak was processed with the molar extinction coefficient &#x3b5; &#x3d; 2.10 &#xd7; 10<sup>2</sup>&#xa0;L&#xa0;mol<sup>&#x2212;1</sup>&#xa0;cm<sup>&#x2212;1</sup>.</p>
<p>The pH is a key parameter in the PAW chemistry and antibacterial effects [<xref ref-type="bibr" rid="B15">15</xref>]. It is measured just after PAW production, using the VTW PH 31&#x2013;10 pH meter calibrated by 3-point method and after stabilization. The PAW conductivity is measured by using the GREISINGER electronic GMH 3430 conductivity meter.</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and Discussion</title>
<sec id="s3-1">
<title>3.1 Transient Spark Discharge Characteristics</title>
<p>As shown in <xref ref-type="fig" rid="F3">Figure 3</xref>, DC-driven TS-B and TS-ES discharges in positive polarity were generated in the point-to-plane configuration in ambient air at atmospheric pressure. The TS discharge pulse is always preceded by one or a sequence of small current (&#x223c;10&#xa0;mA) pulses, that is, streamers. For TS-ES (<xref ref-type="fig" rid="F3">Figure 3B</xref>), a steep voltage drop of about 15&#x2013;20&#xa0;kV occurs during the strong current pulse of about 15&#x2013;25 A, for a typical duration of about 20&#xa0;ns. For TS-B (<xref ref-type="fig" rid="F3">Figure 3A</xref>), the voltage drop is shallower and takes about 1 &#xb5;s during a weaker current pulse of 2.5 A.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Typical voltage/current waveforms for <bold>(A)</bold> TS-B for 3&#xa0;min treatment at 1&#xa0;kHz. <bold>(B)</bold> TS-ES at 1&#xa0;kHz and 1&#xa0;ml/min water flow rate.</p>
</caption>
<graphic xlink:href="fphy-10-895813-g003.tif"/>
</fig>
<p>TS-ES electrical characteristic is quite stable in time, as this discharge occurs between two metal electrodes (needle-mesh). But for TS-B, in the beginning of the deionized water (DW) plasma exposition, the current pulse/voltage drop duration is very long (several &#xb5;s). After a few seconds, the pulse duration becomes considerably shorter and reaches its typical &#xb5;s drop time duration. Along with this pulse duration reduction of the discharge, the current pulse amplitude tends to increase from several hundred mA to several A. The PAW generated between the ground electrode and the positive needle electrode represents an RC circuit. Penetration of plasma charged particles (H<sup>&#x2b;</sup>, <inline-formula id="inf29">
<mml:math id="m39">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf30">
<mml:math id="m40">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>) progressively increased the conductivity of the treated water from 2&#xa0;&#xb5;S of DW to its final value and so decreased the resistivity of the liquid that could explain this temporal evolution of the electrical characteristic of TS-B (<xref ref-type="fig" rid="F3">Figure 3A</xref>). The difference between the current pulse characteristics of TS-B and TS-ES may influence the produced RONS concentrations in PAW, although open air vs. closed reactor conditions influenced the RONS composition even more significantly. The typical power for the PAW generation is about 3W in both TS-ES and TS-B.</p>
</sec>
<sec id="s3-2">
<title>3.2 PEF Characteristics&#x2013;U, I for Different Liquid Conductivities</title>
<p>
<xref ref-type="fig" rid="F4">Figure 4</xref> shows the typical voltage and current pulse of the PEF treatment: a voltage of 2.5&#xa0;kV amplitude, that is, the electric field of 12.5&#xa0;kV/cm for the 2&#xa0;mm spacing in the electroporation cuvette. Bacteria in the LBB culture medium used for the overnight culture were diluted 1:100 in different PAWs or in DW for the control condition. The conductivity of the control condition was adapted to 700&#xa0;&#x3bc;S/cm with NaCl added to DW before adding bacteria, which is a typical conductivity of PAW (after 3&#xa0;min TS-B treatment). The adaptation of the conductivity was necessary to obtain a similar I/U pulses for all PEF treatments, since the current pulse amplitude and shape strongly depend on the water conductivity. Application of PEF in the higher-conductive liquid also leads to its heating. The mean pulse power was 0.7&#xa0;W dissipated in thermal energy into the cuvette.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Typical electrical characteristic of the PEF applied in the electroporation cuvette with PAW.</p>
</caption>
<graphic xlink:href="fphy-10-895813-g004.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 PAW Chemistry&#x2013;RONS</title>
<sec id="s3-3-1">
<title>3.3.1 Open Air Transient Spark With Water Electrospray (TS-ES)</title>
<p>Figure 5A shows the time evolution of H<sub>2</sub>O<sub>2</sub> and <inline-formula id="inf31">
<mml:math id="m41">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> concentration in PAW prepared by TS-ES in open air. In this condition, 5&#xa0;ml PAW was generated by 1&#xa0;kHz transient spark discharge with a 1&#xa0;ml/min deionized water (DW) flow rate and collected in a Petri dish to be analyzed. The concentration of H<sub>2</sub>O<sub>2</sub> and <inline-formula id="inf32">
<mml:math id="m42">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> in acidic PAW is known to decrease with time elapsed after the discharge is stopped [<xref ref-type="bibr" rid="B28">28</xref>]. In <xref ref-type="fig" rid="F5">Figure 5A</xref>, t&#x3d;0 is the moment when the discharge was turned off. The chemical measurement was performed independently of the bacteria experiment for technical reasons (note that the incubation of bacteria in PAW started at t&#x3d; 2&#xa0;min 30&#xa0;s). The measured PAW pH&#x3d;3.5 &#xb1; 0.3 was stable with time t. In the first measurement (at t&#x3d;1&#xa0;min), H<sub>2</sub>O<sub>2</sub> concentration was 430&#xa0;&#xb5;M and <inline-formula id="inf33">
<mml:math id="m43">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">f</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> was 290&#xa0;&#xb5;M. These two reactive species both decayed with time. The concentration of H<sub>2</sub>O<sub>2</sub> decayed rapidly to 380&#xa0;&#xb5;M until 3&#xa0;min and then stabilized, reaching 350&#xa0;&#xb5;M after 17&#xa0;min <inline-formula id="inf34">
<mml:math id="m44">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and decayed quasi-linearly from its initial concentration 290&#x2013;110&#xa0;&#x3bc;M&#xa0;at t&#x3d;17&#xa0;min. After the treatment the concentration of H<sub>2</sub>O<sub>2</sub> dominated over the concentration of <inline-formula id="inf35">
<mml:math id="m45">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> with a ratio H<sub>2</sub>O<sub>2</sub>/<inline-formula id="inf36">
<mml:math id="m46">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 3/2. The significantly higher solubility of H<sub>2</sub>O<sub>2</sub> transfers it into the PAW more vigorously than the other RONS. In the beginning of the water activation, <inline-formula id="inf37">
<mml:math id="m47">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and H<sub>2</sub>O<sub>2</sub> are generated, and the reaction (<xref ref-type="disp-formula" rid="e8">Eq. 8</xref>) generating peroxynitrite depletes about the same molar parts of <inline-formula id="inf38">
<mml:math id="m48">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and H<sub>2</sub>O<sub>2</sub> in the PAW. After the TS-ES plasma treatment, the minor <inline-formula id="inf39">
<mml:math id="m49">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is progressively consumed by the major H<sub>2</sub>O<sub>2</sub> in this reaction, while the concentration of H<sub>2</sub>O<sub>2</sub> then remains relatively stable. <inline-formula id="inf40">
<mml:math id="m50">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> itself is also instable in acidic condition <italic>via</italic> the disproportionation reaction (<xref ref-type="disp-formula" rid="e14">Eq. 14</xref>) [<xref ref-type="bibr" rid="B57">57</xref>].</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Temporal evolution of H<sub>2</sub>O<sub>2</sub> and <inline-formula id="inf41">
<mml:math id="m51">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> concentrations in PAW prepared by <bold>(A)</bold> TS-ES (1&#xa0;ml/min, 1&#xa0;kHz) in open air. <bold>(B)</bold> TS-ES after adding 1&#xa0;mM of H<sub>2</sub>O<sub>2</sub>. <bold>(C)</bold> TS-B (1&#xa0;kHz, 5&#xa0;min treatment) in the closed air reactor for 5&#xa0;ml of DW. <bold>(D)</bold> TS-B after adding 1&#xa0;mM of H<sub>2</sub>O<sub>2</sub>, closed air reactor for 5&#xa0;ml of DW, 1&#xa0;kHz.</p>
</caption>
<graphic xlink:href="fphy-10-895813-g005.tif"/>
</fig>
</sec>
<sec id="s3-3-2">
<title>3.3.2 Closed Air Reactor Transient Spark Batch Treatment (TS-B)</title>
<p>In the closed reactor batch treatment (TS-B) (<xref ref-type="fig" rid="F5">Figure 5C</xref>), the initial concentration of H<sub>2</sub>O<sub>2</sub> in this PAW was lower (100&#xa0;&#xb5;M) than that in the open reactor, and the concentration of <inline-formula id="inf42">
<mml:math id="m52">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> was higher (840&#xa0;&#xb5;M). With time after plasma activation, the H<sub>2</sub>O<sub>2</sub> concentration fell to nearly zero (about 20&#xa0;&#xb5;M) after 5&#xa0;min in an exponential trend decrease. The <inline-formula id="inf43">
<mml:math id="m53">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> concentration also decreased exponentially; after 5&#xa0;min it was 640&#xa0;&#xb5;M and after 17&#xa0;min it was 500&#xa0;&#xb5;M. Gaseous concentrations of NO and <inline-formula id="inf44">
<mml:math id="m54">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>and <inline-formula id="inf45">
<mml:math id="m55">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>were much larger due to their longer accumulation in the reactor volume. The water vapors also accumulated reinforcing the RONS production. <inline-formula id="inf46">
<mml:math id="m56">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> molecules, besides H<sub>2</sub>O<sub>2</sub>, are also readily dissolved in water, resulting in aqueous nitrites <inline-formula id="inf47">
<mml:math id="m57">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and acidification of the PAW [<xref ref-type="bibr" rid="B1">1</xref>, <xref ref-type="bibr" rid="B30">30</xref>]. In these conditions, <inline-formula id="inf48">
<mml:math id="m58">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>dominated over H<sub>2</sub>O<sub>2</sub> at a ratio H<sub>2</sub>O<sub>2</sub>/<inline-formula id="inf49">
<mml:math id="m59">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>&#x3d; 1/6, and the same peroxynitrite reaction (<xref ref-type="disp-formula" rid="e8">Eq. 8</xref>) consumed all the remaining minor H<sub>2</sub>O<sub>2</sub>. plus <inline-formula id="inf50">
<mml:math id="m60">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> also continuously dissociated to radicals (<xref ref-type="disp-formula" rid="e12">Eq.12</xref>) [<xref ref-type="bibr" rid="B9">9</xref>], or formed a nitrosonium ion <italic>via</italic> HNO<sub>2</sub> protonation reaction (<xref ref-type="disp-formula" rid="e13">Eq.13</xref>) [<xref ref-type="bibr" rid="B28">28</xref>]. <inline-formula id="inf51">
<mml:math id="m61">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> was also disproportionated by the reaction in acidic conditions (<xref ref-type="disp-formula" rid="e14">Eq. 14</xref>), which is pH-dependent and occurs faster at pH &#x3c; 3.5 [<xref ref-type="bibr" rid="B24">24</xref>, <xref ref-type="bibr" rid="B57">57</xref>].<disp-formula id="e12">
<mml:math id="m62">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mo>&#x2192;</mml:mo>
<mml:mo>&#x2022;</mml:mo>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mo>&#x2022;</mml:mo>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
</mml:math>
<label>(12)</label>
</disp-formula>
<disp-formula id="e13">
<mml:math id="m63">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mo>&#x2b;</mml:mo>
</mml:msup>
<mml:mo>&#x2192;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2b;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2192;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
</mml:math>
<label>(13)</label>
</disp-formula>
<disp-formula id="e14">
<mml:math id="m64">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mi mathvariant="normal">H</mml:mi>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:msup>
<mml:mo>&#x2192;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2022;</mml:mo>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msup>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mo>&#x2b;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(14)</label>
</disp-formula>
</p>
</sec>
<sec id="s3-3-3">
<title>3.3.3. Post-Discharge Time Evolution of RONS After Adding 1&#xa0;mM H<sub>2</sub>O<sub>2</sub> in PAW</title>
<p>
<xref ref-type="fig" rid="F5">Figures 5B,D</xref> show the time evolution of the concentration of hydrogen peroxide and nitrite in PAW TS-ES and TS-B, respectively, after adding 1&#xa0;mM H<sub>2</sub>O<sub>2</sub>. Adding H<sub>2</sub>O<sub>2</sub> after plasma treatment increased the measured concentration of H<sub>2</sub>O<sub>2</sub>. The concentration in <inline-formula id="inf52">
<mml:math id="m65">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> dropped faster than in the condition without the addition of H<sub>2</sub>O<sub>2</sub> due to its mutual reaction with H<sub>2</sub>O<sub>2</sub> (<xref ref-type="disp-formula" rid="e8">Eq. 8</xref>).</p>
<p>In TS-B PAW after adding 1&#xa0;mM H<sub>2</sub>O<sub>2</sub> (<xref ref-type="fig" rid="F5">Figure 5D</xref>), a higher initial concentration in H<sub>2</sub>O<sub>2</sub> of 900&#xa0;&#xb5;M than in the standard TS-B closed air PAW and a lower <inline-formula id="inf53">
<mml:math id="m66">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> concentration were measured at t &#x3d; 1&#xa0;min. The decay of both species was also faster. At 5&#xa0;min, <inline-formula id="inf54">
<mml:math id="m67">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> concentration was 100&#xa0;&#xb5;M and after 10&#xa0;min it was close to zero. In the condition TS-B &#x2b; H<sub>2</sub>O<sub>2</sub>, the concentration of <inline-formula id="inf55">
<mml:math id="m68">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and H<sub>2</sub>O<sub>2</sub> stabilized faster than in the conditions without adding H<sub>2</sub>O<sub>2</sub> in both closed (TS-B) and open air (TS-ES). When 1&#xa0;mM H<sub>2</sub>O<sub>2</sub> is added into PAW generated by TS-B closed and TS-ES open air (<xref ref-type="fig" rid="F5">Figures 5B,D</xref>), the concentrations of H<sub>2</sub>O<sub>2</sub> are stronger than in the original PAW TS-B and TS-ES without H<sub>2</sub>O<sub>2</sub> addition, while the concentration of <inline-formula id="inf56">
<mml:math id="m69">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> is supposed be the same (the decay of the first minute after PAW production changes the first measurement at 1&#xa0;min). After H<sub>2</sub>O<sub>2</sub> addition, we can expect an important enhancement of the ONOOH formation (<xref ref-type="disp-formula" rid="e8">Eq. 8</xref>) and its subsequent decay to radicals, which is proportional to the H<sub>2</sub>O<sub>2</sub> concentration drop. In TS-B the first 5&#xa0;min, the concentration of H<sub>2</sub>O<sub>2</sub> dropped to 650&#xa0;&#xb5;M considering that the initial concentration of H<sub>2</sub>O<sub>2</sub> in PAW was around 100&#xa0;&#xb5;M and the concentration of the added H<sub>2</sub>O<sub>2</sub> was 1&#xa0;mM. By approximate interpolation, a production of 450&#xa0;&#xb5;M of peroxynitrite would lead to the production of 135&#xa0;&#xb5;M of <sup>&#x2022;</sup>OH and <sup>&#x2022;</sup>NO<sub>2</sub>, assuming 30% conversion to these radicals. On the other hand, in TS-ES, the addition of 1&#xa0;mM of H<sub>2</sub>O<sub>2</sub> (<xref ref-type="fig" rid="F5">Figure 5B</xref>) enhanced the concentration of already major H<sub>2</sub>O<sub>2</sub>, which resulted in a complete depletion of <inline-formula id="inf57">
<mml:math id="m70">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
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</inline-formula> and accelerated the kinetic of the ONOOH reaction (<xref ref-type="disp-formula" rid="e8">Eq. 8</xref>), but in a less drastic way than in TS-BC.</p>
</sec>
</sec>
<sec id="s3-4">
<title>3.4 Antibacterial Effects</title>
<sec id="s3-4-1">
<title>3.4.1 PEF Only and H<sub>2</sub>O<sub>2</sub> Only</title>
<p>The antibacterial effect can be expressed by two ways: 1) as a direct reduction of the bacteria population in CFU/ml with respect to the control condition, as shown in <xref ref-type="fig" rid="F6">Figures 6</xref>&#x2013;<xref ref-type="fig" rid="F8">8</xref>; or 2) in log reduction (<xref ref-type="disp-formula" rid="e15">eq. 15</xref>) of the number of bacteria divided by the number of bacteria in the control condition, as shown in <xref ref-type="fig" rid="F9">Figure 9</xref>.<disp-formula id="e15">
<mml:math id="m71">
<mml:mrow>
<mml:msub>
<mml:mrow>
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<mml:mi>e</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>t</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="italic">log</mml:mi>
</mml:mrow>
<mml:mn>10</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>(</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>)</mml:mo>
<mml:mo>/</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>(</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(15)</label>
</disp-formula>
</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<italic>E. coli</italic> population (CFU/ml) for PEF treatment only, 10&#xa0;min incubation in 10&#xa0;mM H<sub>2</sub>O<sub>2</sub> only, and with PEF treatment, PAW generated by TS-B closed air reactor, 10&#xa0;min incubation in PAW only and coupled with PEF treatment. One-way ANOVA test, (&#x2a;) <italic>p</italic>-value &#x3c; 0.05; (&#x2a;&#x2a;) <italic>p</italic>-value &#x3c; 0.01; and (&#x2a;&#x2a;&#x2a;) <italic>p</italic>-value &#x3c; 0.001 with respect to control (CT). Boxes and whiskers show the median, mean value, interquartile range (IQR), and error bars corresponding to 1.5IQR.</p>
</caption>
<graphic xlink:href="fphy-10-895813-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<italic>E. coli</italic> population (CFU/ml) for the different treatments in PAW induced by TS-ES open air reactor without and with adding different concentrations of H<sub>2</sub>O<sub>2</sub> and without and with PEF treatment. One-way ANOVA test, (&#x2a;) <italic>p</italic>-value &#x3c; 0.05; (&#x2a;&#x2a;) <italic>p</italic>-value &#x3c; 0.01; and (&#x2a;&#x2a;&#x2a;) <italic>p</italic>-value &#x3c; 0.001 with respect to control (CT), or other conditions as indicated by lines. Boxes and whiskers show the median, mean value, interquartile range (IQR), and error bars corresponding to 1.5IQR. Red arrows indicate the bacterial population reduction due to synergy of PEF and PAW.</p>
</caption>
<graphic xlink:href="fphy-10-895813-g007.tif"/>
</fig>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>
<italic>E. coli</italic> population (CFU/ml) for the different treatments in PAW induced by the TS-B closed air reactor without and with adding different concentrations of H<sub>2</sub>O<sub>2</sub> and without and with PEF treatment. The white dot is the mean, black line in the gray scar is the median, square is the Q1 and Q3, and the whiskers are the extremes value of the experiment. One-way ANOVA test, (&#x2a;) <italic>p</italic>-value &#x3c; 0.05; (&#x2a;&#x2a;) <italic>p</italic>-value &#x3c; 0.01; (&#x2a;&#x2a;&#x2a;) <italic>p</italic>-value &#x3c; 0.001 with respect to control (CT), or other conditions as indicated by lines. Boxes and whiskers show the median, mean value, interquartile range (IQR), and error bars corresponding to 1.5IQR. Red arrows indicate the bacterial population reduction due to synergy of PEF and PAW.</p>
</caption>
<graphic xlink:href="fphy-10-895813-g008.tif"/>
</fig>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Antibacterial effects expressed as log reduction as a function of the sum of <inline-formula id="inf58">
<mml:math id="m72">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and H<sub>2</sub>O<sub>2</sub> <bold>(A&#x2013;C)</bold> and estimated ONOOH concentration <bold>(D&#x2013;F)</bold>. <bold>(A,D)</bold> PAW antibacterial effect. <bold>(B,E)</bold> Total antibacterial effect of PAW with PEF. <bold>(C,F)</bold> Synergic antibacterial effect expressed as the difference between the total antibacterial effect and the PAW only antibacterial effect.</p>
</caption>
<graphic xlink:href="fphy-10-895813-g009.tif"/>
</fig>
<p>The PEF treatment of 12.5&#xa0;kV/cm for a pulse duration of 200 ns at a frequency of 100&#xa0;Hz during a treatment time of 100 s, applied to the <italic>E. coli</italic> showed no antibacterial effect (<xref ref-type="fig" rid="F6">Figure 6</xref>). This PEF treatment was chosen to be mild to accentuate its synergic effect with PAW and not the antibacterial effect of the PEF itself. A PEF treatment with a longer duration of the pulse or a stronger electric field magnitude can result in a higher efficiency. Also, more repetitions of the pulses can lead to an antibacterial effect due to irreversible electroporation [<xref ref-type="bibr" rid="B58">58</xref>], but our mild PEF treatment did not show any lethal effect. The strong electric current circulating in the cuvette during the application produced a temperature increase of a few degrees (from 21 to 30&#x2013;34&#xb0;C measured by a thermocouple) for a power of the PEF of approximately 0.7&#xa0;W. This increase in temperature is known to speed up the pore formation [<xref ref-type="bibr" rid="B59">59</xref>, <xref ref-type="bibr" rid="B60">60</xref>]. To prevent this phenomenon from causing a difference in behavior between the control condition and the PAW, the conductivity of the control condition and H<sub>2</sub>O<sub>2</sub> only conditions was adapted to 700&#xa0;&#x3bc;S/cm (like PAW), as mentioned previously in <xref ref-type="sec" rid="s2-4">Section 2.4</xref> and <xref ref-type="sec" rid="s3-2">Section 3.2</xref>. The same conductivity is needed to obtain the same current/voltage pulse in the cuvette for PAW and for the control or H<sub>2</sub>O<sub>2</sub>-only conditions.</p>
<p>In the objective to investigate the antibacterial effect of H<sub>2</sub>O<sub>2</sub> only and its potential interactions with PEF treatment, we tested the highest concentration, 10&#xa0;mM, which was added in DW, incubated with <italic>E. coli</italic> and applied PEF treatment during the incubation. The concentration of H<sub>2</sub>O<sub>2</sub> which was added into the PAW was tested in the range 100&#xa0;&#x3bc;M&#x2013;10&#xa0;mM. It is well known that H<sub>2</sub>O<sub>2</sub> as a medical disinfectant is used in much higher concentrations (3% vol., i.e., 0.98&#xa0;M). H<sub>2</sub>O<sub>2</sub> is also often considered as the key antibacterial or antitumor agent of PAW in synergy with other RONS [<xref ref-type="bibr" rid="B61">61</xref>]. However, in our studied maximum concentration of 10&#xa0;mM H<sub>2</sub>O<sub>2</sub> diluted in DW, we did not observe any antibacterial effect (<xref ref-type="fig" rid="F6">Figure 6</xref>) by H<sub>2</sub>O<sub>2</sub> itself, nor H<sub>2</sub>O<sub>2</sub> combined with PEF. In the PAW studied here, plasma-generated H<sub>2</sub>O<sub>2</sub> concentration did not exceed 600&#xa0;&#xb5;M in TS-ES open air discharge and 150&#xa0;&#xb5;M in TS-B closed reactor. Even with the addition of 100&#xa0;&#x3bc;M&#x2013;1&#xa0;mM H<sub>2</sub>O<sub>2</sub> in the TS-B or 1&#x2013;10&#xa0;mM H<sub>2</sub>O<sub>2</sub> in TS-ES, we operated in the range of H<sub>2</sub>O<sub>2</sub> concentrations far below those where it is typically used as a disinfectant.</p>
<p>Considering this, H<sub>2</sub>O<sub>2</sub> alone should not be considered as the key antibacterial plasma agent. We can hypothesize that H<sub>2</sub>O<sub>2</sub> only cannot be responsible for an efficiency of PEF treatment by penetration through the membrane into the cell or by facilitation of pore formation by peroxidation of the membrane. However, its interaction with other species in the PAW, especially nitrites, makes it a key species resulting in the PAW antibacterial effect, which was even enhanced by PEF, as discussed later.</p>
</sec>
<sec id="s3-4-2">
<title>3.4.2 Open Air TS-ES PAW &#x2b; PEF</title>
<p>To investigate a coupled antibacterial effect on <italic>E. coli</italic> of the plasma agents in PAW with PEF treatment, we first incubated the bacteria in PAW generated by the open-air TS-ES discharge. As shown in <xref ref-type="fig" rid="F7">Figure 7</xref>, the 10&#xa0;min incubation in this PAW obtained a significant antibacterial effect of 0.8 log. The applied PEF treatment during the incubation resulted in the log reduction of 2.2 which represents a synergic effect of 1.4 log. Adding 1, 2 and 10&#xa0;mM of H<sub>2</sub>O<sub>2</sub> in the PAW further increased the antibacterial effect. The effect of PEF treatment of these PAW &#x2b; H<sub>2</sub>O<sub>2</sub> conditions also strongly increased the synergy PAW &#x2b; PEF effect. The log reduction value for the highest added H<sub>2</sub>O<sub>2</sub> concentration (10&#xa0;mM), is near the detection limit of our microbial cultivation method considering the dilutions (leading to complete sterilization).</p>
<p>Considering our PEF only treatment antibacterial effect is nearly zero, the synergy effect was defined by <xref ref-type="disp-formula" rid="e16">Eq.16</xref> as a difference between the total PAW &#x2b; PEF antibacterial effect and the effect of PAW only (in log<sub>10</sub> reduction) [<xref ref-type="bibr" rid="B62">62</xref>]<disp-formula id="e16">
<mml:math id="m73">
<mml:mrow>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">y</mml:mi>
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<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">y</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">F</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>Log</mml:mi>
<mml:mn>10</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">F</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
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<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>log</mml:mi>
<mml:mn>10</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mi mathvariant="normal">W</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(16)</label>
</disp-formula>
</p>
<p>In the PAW produced in open-air TS-ES condition (<xref ref-type="fig" rid="F7">Figure 7</xref>), we obtained the antibacterial effect stronger with the addition of PEF than by incubation in PAW only. This synergic antibacterial effect further increased with adding increasing concentrations of H<sub>2</sub>O<sub>2</sub> into the PAW. Increasing H<sub>2</sub>O<sub>2</sub> concentration in this H<sub>2</sub>O<sub>2</sub>-dominated PAW did not increase the final product of peroxynitrite (<xref ref-type="disp-formula" rid="e8">eq. 8</xref>) but increased the kinetic of its production and thus increased the quantity of ONOOH and its decay products (radicals OH and <inline-formula id="inf59">
<mml:math id="m74">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) in contact with bacteria. Additional PEF probably facilitated their penetration through the cell membrane and resulted in the stronger antibacterial effect.</p>
</sec>
<sec id="s3-4-3">
<title>3.4.3 Closed Air TS-B PAW &#x2b; PEF</title>
<p>The antibacterial effect of TS-B PAW prepared in the closed air reactor and measured without and with the PEF t and with additions of H<sub>2</sub>O<sub>2</sub> (from 0.2 to 10&#xa0;mM concentration), is shown in <xref ref-type="fig" rid="F8">Figure 8</xref>. PAW only antibacterial effect, as well as PAW &#x2b; PEF were about 1 log. Adding hydrogen peroxide to the PAW, especially 500&#xa0;&#x3bc;M and 1&#xa0;mM, significantly increased its antibacterial effect. PAW &#x2b; H<sub>2</sub>O<sub>2</sub> combined with PEF treatment induced a strong synergic antibacterial effect.</p>
<p>The antibacterial effects of the PAW open air TS-ES and PAW closed air TS-B are similar, but coupled with PEF treatment, the open-air TS-ES PAW showed a synergy effect, unlike the closed reactor TS-B PAW, which showed no synergy effect with the same PEF treatment. However, adding H<sub>2</sub>O<sub>2</sub> of concentrations 100&#xa0;&#x3bc;M, 200&#xa0;&#x3bc;M, 1&#xa0;mM, 2 and 10&#xa0;mM to the TS-B PAW have shown a strong and increasing antibacterial effect. The complete sterilization was often observed for the added H<sub>2</sub>O<sub>2</sub> concentrations of 1 and 2&#xa0;mM, and always for 10&#xa0;mM. In these cases, the minimum number of colonies was fixed at 300 that corresponds to one colony for every measurement of each experiment repetition. This represents the limit of detection of the countable CFUs. The PEF treatment of these PAW &#x2b; H<sub>2</sub>O<sub>2</sub> conditions increased the antibacterial effect by increasing the synergic PAW &#x2b; PEF effect, although less intensely than for TS-ES PAW.</p>
<p>It is interesting that the antibacterial effect of TS-B PAW in the closed air reactor (<xref ref-type="fig" rid="F8">Figure 8</xref>) was as intense as that of TS-ES PAW in the open-air (<xref ref-type="fig" rid="F7">Figure 7</xref>), although PAW in the closed and open air had a different RONS composition. In addition to the reaction between H<sub>2</sub>O<sub>2</sub> and <inline-formula id="inf60">
<mml:math id="m75">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="disp-formula" rid="e8">Eq. 8</xref>) producing ONOOH and radicals, the high <inline-formula id="inf61">
<mml:math id="m76">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> concentration could enhance the antibacterial effect due to the nitrite/nitrous acid <inline-formula id="inf62">
<mml:math id="m77">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>/<inline-formula id="inf63">
<mml:math id="m78">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (pKa&#x3d;3.4). This acidic form of <inline-formula id="inf64">
<mml:math id="m79">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (also called acidified nitrite) is also strongly antibacterial [<xref ref-type="bibr" rid="B24">24</xref>,<xref ref-type="bibr" rid="B63">63</xref>]. The formation of nitrogen radicals <sup>&#x2022;</sup>NO and <sup>&#x2022;</sup>NO<sub>2</sub> by <xref ref-type="disp-formula" rid="e12">Eq. 12</xref> is more likely the main reason of the induced antibacterial effect that substantially inhibited the growth of <italic>E. coli</italic> under acidic conditions. It should be stressed out that in the closed air TS-B PAW, the additional PEF treatment during showed no extra antibacterial effect (unless H<sub>2</sub>O<sub>2</sub> was added). It seems that electro-permeabilization by the PEF treatment combined with <inline-formula id="inf65">
<mml:math id="m80">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
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<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>-rich PAW does not lead to the synergic effect in this condition.</p>
<p>On the other hand, when adding H<sub>2</sub>O<sub>2</sub>, the antibacterial effect increased much more in TS-B than in TS-ES open air for the same added H<sub>2</sub>O<sub>2</sub> concentrations. As discussed earlier in the chemical part, the dynamic of the reaction between H<sub>2</sub>O<sub>2</sub> and <inline-formula id="inf66">
<mml:math id="m81">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
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</inline-formula>, the production of peroxynitrite depends on the concentration of the dominant species. Thus, adding H<sub>2</sub>O<sub>2</sub> to the TS-B PAW normally dominated by <inline-formula id="inf67">
<mml:math id="m82">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
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<mml:mo>&#x2212;</mml:mo>
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</inline-formula> increased much more the production of ONOOH than in the open-air TS-ES PAW. The production of radicals as decay products of ONOOH also increased and so PEF facilitated their penetration into the cells, which is correlated with the increase of the antibacterial effect.</p>
<p>Radicals in contact with the cell membrane cause lipid peroxidation that facilitate the electropermeabilization of the membrane by the PEF treatment. The present data cannot conclude if the synergic antibacterial effect is due to the fragilization of the membrane leading to irreversible electroporation during the PEF treatment or an improvement of RONS lethal activity by passing through the cell membrane and attacking bacterial organelles, DNA, and the internal layer of bacteria membrane&#x2019;s phospholipids.</p>
</sec>
<sec id="s3-4-4">
<title>3.4.4 Quantification of the Antibacterial Effects in Function of the RONS Concentration</title>
<p>The experiments were performed to investigate the correlations and synergies between the RONS in the PAW and their antibacterial effects tested on <italic>E. coli</italic> incubated in PAW only, PAW enriched with hydrogen peroxide, and in PAW and PAW &#x2b; H<sub>2</sub>O<sub>2</sub> coupled with the PEF treatment.</p>
<p>
<xref ref-type="fig" rid="F9">Figures 9A&#x2013;C</xref> shows on the x-axis the sum of the measured concentrations of the key RONS: <inline-formula id="inf68">
<mml:math id="m83">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
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<mml:mo>&#x2212;</mml:mo>
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</mml:mrow>
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</inline-formula> &#x2b; H<sub>2</sub>O<sub>2</sub>. The x-error bar is the Euclidean distance or 2-norm (<xref ref-type="disp-formula" rid="e17">eq.17</xref>) of the standard deviations of both these components from their initial measurements without adding H<sub>2</sub>O<sub>2</sub>, as shown in <xref ref-type="fig" rid="F5">Figures 5&#x2013;A,C</xref>.<disp-formula id="e17">
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</mml:math>
<label>(17)</label>
</disp-formula>
<disp-formula id="e18">
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<label>(18)</label>
</disp-formula>
</p>
<p>The log reduction of <italic>E. coli</italic> in <xref ref-type="fig" rid="F9">Figure 9</xref> is shown as the log10 of the median value of each condition divided by the median value of the control (<xref ref-type="disp-formula" rid="e15">Eq. 15</xref>), the same medians shown in <xref ref-type="fig" rid="F6">Figures 6</xref>&#x2013;<xref ref-type="fig" rid="F8">8</xref>. The asymmetric error bars are calculated by <xref ref-type="disp-formula" rid="e18">Eq. 18</xref> where Q1 and Q3 are the first and third quartiles of the <italic>E. coli</italic> population in each treatment condition (as shown in the box graph in <xref ref-type="fig" rid="F6">Figures 6</xref>&#x2013;<xref ref-type="fig" rid="F8">8</xref>). In the cases of the complete sterilization, we have taken the number of 300&#xa0;CFU/mL as the detection limit, which corresponds to one colony grown in the lowest dilution on the Petri dish. This minimum CFU/mL value impacts the error bar for the strongest antibacterial treatments (TS-B closed reactor with added 1&#xa0;mM of H<sub>2</sub>O<sub>2</sub> with and without PEF, TS-B closed with added 500&#xa0;&#xb5;M of H<sub>2</sub>O<sub>2</sub>; and open-air TS-ES with added 10&#xa0;mM of H<sub>2</sub>O<sub>2</sub>).</p>
<p>
<xref ref-type="fig" rid="F9">Figures 9A&#x2013;C</xref> show that the antibacterial effect increased with the total RONS concentration in a stronger way for the closed TS-B condition than for the TS-ES open condition. The increase of the total RONS is directly linked with the addition of H<sub>2</sub>O<sub>2</sub>, which for the open TS-ES reactor simply increased its concentration in the PAW, while for the closed TS-B reactor this also increased the ONOOH concentration, hence the <inline-formula id="inf69">
<mml:math id="m86">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>/H<sub>2</sub>O<sub>2</sub> degradation kinetics leading to radicals <sup>&#x2022;</sup>OH and <sup>&#x2022;</sup>NO<sub>2</sub>. This impact on the kinetic cannot be represented in this figure but it must be considered to understand which RONS interact with the cell membrane during the PEF treatment. <xref ref-type="fig" rid="F9">Figure 9A</xref> suggests a stronger antibacterial effect of the PAW which forms these radicals produced by the degradation of ONOOH. In the <xref ref-type="fig" rid="F9">Figure 9C</xref> the synergic effect increased drastically in the PAW TS-B with the increased total RONS, that is, with the addition of H<sub>2</sub>O<sub>2,</sub> thus enhancing ONOOH, while the increase of the total RONS in TS-ES affected the synergic effect much less. Hydrogen peroxide therefore has a much weaker synergic effect than ONOOH and only in the presence of the latter. However, H<sub>2</sub>O<sub>2</sub> should be considered in the antibacterial effect of PAW alone and in the synergy antibacterial effect of PAW and PEF especially in presence of radical <sup>&#x2022;</sup>OH and <sup>&#x2022;</sup>NO<sub>2</sub> in the PAW.</p>
<p>The estimated ONOOH concentration from the <xref ref-type="disp-formula" rid="e8">Eq. 8</xref> in <xref ref-type="fig" rid="F9">Figures 9D&#x2013;F</xref>, shown in the x-axis is obtained from the minimum mean concentration of either H<sub>2</sub>O<sub>2</sub> or <inline-formula id="inf70">
<mml:math id="m87">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> (the lower one) for each condition. Peroxynitrous acid (ONOOH) is on 70% turned into NO<sub>3</sub>- and H<sup>&#x2b;</sup>, with the pH is unchanged because the reaction of H<sub>2</sub>O<sub>2</sub> with <inline-formula id="inf71">
<mml:math id="m88">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> needs H<sup>&#x2b;</sup> ions to occur. The other 30% of ONOOH creates <sup>&#x2022;</sup>OH and <sup>&#x2022;</sup>NO<sub>2</sub> radicals which are known for their strong antibacterial effect and lipid peroxidation. The concentration of H<sub>2</sub>O<sub>2</sub> taken for the estimation of ONOOH concentration is the measured H<sub>2</sub>O<sub>2</sub> after plasma activation, plus the pre-set concentration of the externally added H<sub>2</sub>O<sub>2</sub>. The x-error bars in <xref ref-type="fig" rid="F9">Figures 9D&#x2013;F</xref> are the standard deviations of the initial H<sub>2</sub>O<sub>2</sub> or <inline-formula id="inf72">
<mml:math id="m89">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> values measured from three repetitions, corresponding to the y-error bars shown in <xref ref-type="fig" rid="F5">Figure 5</xref> at t&#x3d; 1&#xa0;min.</p>
<p>In <xref ref-type="fig" rid="F9">Figure 9D</xref>, TS-ES open air shows a constant concentration of ONOOH estimated to 300&#xa0;&#xb5;M for all the conditions because the less concentrated species from either H<sub>2</sub>O<sub>2</sub> or <inline-formula id="inf73">
<mml:math id="m90">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is the <inline-formula id="inf74">
<mml:math id="m91">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>. Its initial concentration was not affected by the addition of hydrogen peroxide, so the ONOOH concentration remained presumably constant, based on the ONOOH formation by <xref ref-type="disp-formula" rid="e8">Eq. 8</xref>. On the other hand, in the condition TS-B closed air reactor shown in <xref ref-type="fig" rid="F9">Figure 9D</xref>, the log reduction values increase with the ONOOH concentrations until 800&#xa0;&#x3bc;M, because the dominant species is the nitrite, and the limiting species is H<sub>2</sub>O<sub>2</sub>. Above 800&#xa0;&#xb5;M ONOOH (i.e., in cases of the added 1&#xa0;mM H<sub>2</sub>O<sub>2</sub> or more), the concentration of ONOOH becomes limited by nitrite at 800&#xa0;&#x3bc;M, similar to the limit of 300&#xa0;&#xb5;M in the TS-ES open case. We excluded the condition TS-B closed reactor with the addition of 2 and 10&#xa0;mM H<sub>2</sub>O<sub>2</sub> in <xref ref-type="fig" rid="F9">Figure 9</xref> because the antibacterial effect of the PAW only is already the complete sterilization and so cannot bring any information on the synergy effect of the nitrite and hydrogen peroxide with PEF treatment.</p>
<p>
<xref ref-type="fig" rid="F9">Figures 9D&#x2013;F</xref> from TS-B closed reactor shows that the increase of ONOOH enhanced the antibacterial effect and also the synergic effect with PEF. We observed that the antibacterial effect of the TS-ES open air PAW was lower than that of the TS-B closed for the same concentration of ONOOH, but the synergic effect (<xref ref-type="fig" rid="F9">Figure 9F</xref>) for the TS-ES was stronger than in the TS-B for the same concentration of ONOOH. The antibacterial effect of H<sub>2</sub>O<sub>2</sub> and the synergic effect of H<sub>2</sub>O<sub>2</sub> with PEF was zero. This result suggests that the presence of ONOOH in the PAW reinforces the effect of the hydrogen peroxide itself and give it a synergic effect with PEF. It was shown by [<xref ref-type="bibr" rid="B64">64</xref>] that H<sub>2</sub>O<sub>2</sub> was synergized with longer pulses duration. Maybe the effect of the radicals produced from the ONOOH caused a sublethal damage of the cell membrane facilitating the peroxidation of the phospholipids by the H<sub>2</sub>O<sub>2</sub>, which alone had no antibacterial effect, nor was synergic with PEF.</p>
</sec>
</sec>
</sec>
<sec id="s4">
<title>4 Conclusion</title>
<p>The antibacterial effects of atmospheric cold plasma and plasma-activated water are usually investigated separately of the bactericidal treatments of the pulsed electric fields, despite common physicochemical mechanisms and industrial applications. The cold plasma is generated by applying an electric field, hence could lead to electropermeabilization/electroporation mechanisms that contribute in part to the antibacterial effect. PEF treatments generate intracellular RONS and cause lipid peroxidation, and RONS production by PEF treatment is a key factor of the initiation of pore formation in the cell membrane, a promoting factor for a pore growth and for a decrease of the minimum voltage for triggering electroporation.</p>
<p>We investigated the antibacterial effect of PEF and PAW treatment of <italic>E. coli</italic> individually and in synergy. Chemical measurement of nitrite and H<sub>2</sub>O<sub>2</sub> and antibacterial effects were tested for two types of PAW, generated by transient spark discharge with electrospray in open air (TS-ES) and the same discharge in batch treatment in closed reactor with air (TS-B). This enabled us to obtain different PAW chemistry processes and different roles of the PAW components acting in synergy with PEF in the antibacterial effect. In addition, the PAW was externally doped by the addition of H<sub>2</sub>O<sub>2,</sub> and its effect on bacteria coupled with PEF was tested.</p>
<p>PAW generated by TS-ES in open air achieved a ratio of dominant RONS: H<sub>2</sub>O<sub>2</sub>/<inline-formula id="inf75">
<mml:math id="m92">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 3/2, whereas TS-B PAW in closed reactor reached the ratio H<sub>2</sub>O<sub>2</sub>/<inline-formula id="inf76">
<mml:math id="m93">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 1/6 due to the accumulation of gaseous NOx in air which are absorbed in the water to form nitrites and protons (H<sup>&#x2b;</sup>). Hydrogen peroxide is extremely soluble and is absorbed more easily by the liquid. Once <inline-formula id="inf77">
<mml:math id="m94">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>and H<sub>2</sub>O<sub>2</sub> are in the PAW under acidic pH, they react into peroxynitrous acid ONOOH, an instable RONS which further decays into <sup>&#x2022;</sup>OH and <sup>&#x2022;</sup>NO<sub>2</sub> radicals.</p>
<p>Despite different RONS in the TS-ES and the TS-B PAW, their antibacterial effects were comparable. In the closed reactor (TS-B) the lower pH and higher concentration of <inline-formula id="inf78">
<mml:math id="m95">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> could be a major factor, while in open reactor (TS-ES) the antibacterial effect could be mainly due to the presence of similar concentrations of H<sub>2</sub>O<sub>2</sub> and <inline-formula id="inf79">
<mml:math id="m96">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> which react in acidic conditions to form ONOOH, which then decays in radicals. Adding H<sub>2</sub>O<sub>2</sub> to <inline-formula id="inf80">
<mml:math id="m97">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>-rich TS-B closed reactor PAW resulted in a stronger boost of the antibacterial effect than in TS-ES open reactor PAW with similar concentrations of H<sub>2</sub>O<sub>2</sub> and <inline-formula id="inf81">
<mml:math id="m98">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>. The synergic effect of PEF with PAW was observed only if enough <inline-formula id="inf82">
<mml:math id="m99">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and H<sub>2</sub>O<sub>2</sub> were present and was reinforced with their increase. This suggests than peroxynitrous acid and radicals, such as <sup>&#x2022;</sup>OH, are key species in antibacterial effect of PAW but also a major factor in the investigated synergy treatments by coupled PAW &#x2b; PEF.</p>
<p>
<xref ref-type="fig" rid="F10">Figure 10</xref> schematically summarizes the RONS (in the PAW) synergic antibacterial effects with PEF. Knowing if these PEF &#x2b; PAW combined treatments lead to permeabilization of the cell membrane which would enhance the effect of RONS, or whether the weakening of the membrane will lead to irreversible electroporation, remains an open question. Repeating these experiments with bacteria of different types, in different states, such as biofilms or spores, is necessary in future to make the method generally usable. The understanding of plasma&#x2013;pulsed electric field&#x2013;RONS interactions is important not only in bacterial decontamination, but its results can be exploited in other applications, such as wound healing, cancer therapy, food industry, and agriculture.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Summarizing schematics of the interaction between <inline-formula id="inf83">
<mml:math id="m100">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and H<sub>2</sub>O<sub>2</sub> and bacterial incubation in PAW reinforced by the PEF treatment.</p>
</caption>
<graphic xlink:href="fphy-10-895813-g010.tif"/>
</fig>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6">
<title>Author Contributions</title>
<p>RM ran and processed the experiments and wrote the first draft manuscript. ZM planned, organized, and supervised the research, and reviewed and edited the manuscript. All authors have read and agreed to the published version of the manuscript.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>This study was supported by the grant of the Slovak Research and Development Agency (APVV-17-0382) and Slovak Grant Agency VEGA (1/0596/22).</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>
<ack>
<p>The authors thank Barbora Tarabova (IPP, ASCR Prague) for the help with initial experiments.</p>
</ack>
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