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<article xmlns:ns1="http://www.w3.org/1999/xlink" xmlns:ns2="http://www.w3.org/1998/Math/MathML">
    <front>
        <journal-meta>
            <journal-title-group>
                <journal-title>OENO One</journal-title>
            </journal-title-group>
        </journal-meta>
        <article-meta>
            <title-group>
                <article-title>Measuring the oxygen consumption rate of some inactivated dry yeasts: comparison with other common wine antioxidants</article-title>
            </title-group>
            <aff id="aff1">
                <sup>
                    <italic>1</italic>
                </sup> Departament de Bioquímica i Biotecnologia, Facultat d’Enologia de Tarragona, Universitat Rovira i Virgili, C/Marcel.li Domingo s/n, 43007 Tarragona, Spain</aff>
            <aff id="aff2">
                <sup>
                    <italic>2</italic>
                </sup>Lallemand Bio S.L. C/ Galileu 303. 1ª planta. 08028-Barcelona, Spain.</aff>
            <contrib-group>
                <contrib contrib-type="author">
                    <name>
                        <surname>Pons-Mercadé</surname>
                        <given-names>Pere</given-names>
                    </name>
                    <xref ref-type="aff" rid="aff1">
                        <sup>
                            <italic>1</italic>
                        </sup>
                    </xref>
                </contrib>
                <contrib contrib-type="author">
                    <name>
                        <surname>Anguela</surname>
                        <given-names>Sergi</given-names>
                    </name>
                    <xref ref-type="aff" rid="aff1">
                        <sup>
                            <italic>1</italic>
                        </sup>
                    </xref>
                </contrib>
                <contrib contrib-type="author">
                    <name>
                        <surname>Giménez</surname>
                        <given-names>Pol</given-names>
                    </name>
                    <xref ref-type="aff" rid="aff1">
                        <sup>
                            <italic>1</italic>
                        </sup>
                    </xref>
                </contrib>
                <contrib contrib-type="author">
                    <name>
                        <surname>Heras</surname>
                        <given-names>JoséM.</given-names>
                    </name>
                    <xref ref-type="aff" rid="aff2">
                        <sup>
                            <italic>2</italic>
                        </sup>
                    </xref>
                </contrib>
                <contrib contrib-type="author">
                    <name>
                        <surname>Sieczkowski</surname>
                        <given-names>Nathalie</given-names>
                    </name>
                    <xref ref-type="aff" rid="aff2">
                        <sup>
                            <italic>2</italic>
                        </sup>
                    </xref>
                </contrib>
                <contrib contrib-type="author">
                    <name>
                        <surname>Rozès</surname>
                        <given-names>Nicolas</given-names>
                    </name>
                    <xref ref-type="aff" rid="aff1">
                        <sup>
                            <italic>1</italic>
                        </sup>
                    </xref>
                </contrib>
                <contrib contrib-type="author">
                    <name>
                        <surname>Zamora</surname>
                        <given-names>JoanMiquelCanals1andFernando</given-names>
                    </name>
                    <xref ref-type="corresp">
                        <sup>
                            <italic>*</italic>
                        </sup>
                    </xref>
                    <xref ref-type="aff" rid="aff1">
                        <sup>
                            <italic>1</italic>
                        </sup>
                    </xref>
                </contrib>
            </contrib-group>
            <abstract>
                <sec id="Abstract">
                    <title>Abstract</title>
                    <p>The aim of the study was to evaluate the oxygen consumption kinetics of some inactivated dry yeasts in comparison with those of sulfur dioxide, ascorbic acid and glutathione.</p>
                    <p>The oxygen consumption rates of three inactivated dry yeasts, sulfur dioxide, ascorbic acid and glutathione at the usual doses in a model wine solution were determined by carrying out noninvasive fluorescence measurements. The results indicate that two of the studied inactivated dry yeasts consume oxygen more effectively than sulfur dioxide.                      </p>
                    <p>These data suggest that some inactivated dry yeasts may be useful for protecting wine against oxidation.</p>
                    <p>This study shows for the first time that inactivated dry yeasts can actually consume oxygen, therefore opening up an interesting area for future research.</p>
                    <p>
                        <bold>Keywords:</bold> Oxygen consumption rate, Inactivated dry yeasts, Sulfur dioxide, Ascorbic acid, Glutathione.</p>
                </sec>
            </abstract>
        </article-meta>
    </front>
    <body>
        <sec id="Introduction">
            <title>Introduction</title>
            <p>Wine aging on lees is currently a widespread practice in oenology, especially for white wines (<xref ref-type="bibr" rid="ref14">Dubourdieu, 1992</xref>; <xref ref-type="bibr" rid="ref17">Feuillat, 1994</xref>). Due to the phenomenon of autolysis, the presence of lees enriches the wine with many compounds that improve its quality (<xref ref-type="bibr" rid="ref18">Fornairon-Bonnefond <italic>et al.</italic>, 2002</xref>; <xref ref-type="bibr" rid="ref1">Alexandre and Guilloux-Benatier, 2006</xref>). It has been reported that lees release many components of yeast membranes and cytoplasm into wine, such as polysaccharides (<xref ref-type="bibr" rid="ref31">Martínez-Lapuente <italic>et al.</italic>, 2013</xref>), mannoproteins (<xref ref-type="bibr" rid="ref32">Martínez-Lapuente <italic>et al.</italic>, 2015</xref>) peptides and proteins (<xref ref-type="bibr" rid="ref36">Moreno-Arribas <italic>et al.</italic>, 1996</xref>; <xref ref-type="bibr" rid="ref28">Luguera <italic>et al.</italic>, 1998</xref>), amino acids (<xref ref-type="bibr" rid="ref33">Martinez-Rodriguez <italic>et al.</italic>, 2002</xref>), lipids (<xref ref-type="bibr" rid="ref51">Pueyo <italic>et al.</italic>, 2000</xref>) and nucleotides (<xref ref-type="bibr" rid="ref6">Charpentier <italic>et al.</italic>, 2005</xref>). It therefore seems clear that the process of yeast autolysis completely transforms the composition of wine, improving some of its sensory attributes (<xref ref-type="bibr" rid="ref26">Kemp <italic>et al.</italic>, 2015</xref>).</p>
            <p>Yeast autolysis has been reported to have different sensory effects on wine. Polysaccharides and mannoproteins have been found to improve wine mouthfeel (<xref ref-type="bibr" rid="ref21">Gawel <italic>et al.</italic>, 2018</xref>) and, in combination with some peptides and proteins, to contribute to wine sweetness, smoothing the perception of acidity and astringency (<xref ref-type="bibr" rid="ref29">Marchal <italic>et al.</italic>, 2011</xref>). Furthermore, some amino acids, peptides and nucleotides can contribute to creating an umami taste (<xref ref-type="bibr" rid="ref63">Vilela <italic>et al.</italic>, 2016</xref>) and have been described as flavour enhancers, while lipids and amino acids have been described as aroma precursors (<xref ref-type="bibr" rid="ref59">Styger <italic>et al.</italic>, 2011</xref>). Additionally, mannoproteins seem to exert a protective colloid effect, increasing the stability of proteins (<xref ref-type="bibr" rid="ref64">Waters <italic>et al.</italic>, 1994</xref>) and tartaric acid salts (<xref ref-type="bibr" rid="ref22">Gerbaud <italic>et al.</italic>, 1997</xref>).</p>
            <p>Lees has also been reported to consume oxygen, slowing down the oxidation of the wine (<xref ref-type="bibr" rid="ref55">Salmon <italic>et al.</italic>, 2000</xref>; <xref ref-type="bibr" rid="ref47">Pons-Mercadé <italic>et al.</italic>, 2020</xref>). The mechanism by which this occurs is not known. Some authors associate it with the oxidation of membrane lipids (<xref ref-type="bibr" rid="ref19">Fornairon-Bonnefond and Salmon, 2003</xref>), but it may also be related to the release of glutathione by yeast (<xref ref-type="bibr" rid="ref27">Kritzinger <italic>et al.</italic>, 2013</xref>). Whatever the mechanism, oxygen consumption by lees appears to be the main factor involved in white wines aged on lees being able to age for longer than other white wines.</p>
            <p>In short, wines aged on lees are generally richer in mouthfeel and have greater depth and flavour complexity, and white wines on lees tend to age better. The practice, however, is laborious and entails certain risks, such as the appearance of reductive characters (<xref ref-type="bibr" rid="ref15">Dubourdieu, 1995</xref>) and <italic>Brettanomyces</italic> taints (<xref ref-type="bibr" rid="ref52">Renouf <italic>et al.</italic>, 2007</xref>). For this reason, inactivated dry yeasts (IDY) are now used, because in theory they have the same effect as lees, but without any of the drawbacks (<xref ref-type="bibr" rid="ref48">Pozo-Bayón <italic>et al.</italic>, 2009a</xref>; <xref ref-type="bibr" rid="ref10">Del Barrio-Galán <italic>et al.</italic>, 2011</xref>).</p>
            <p>Several studies have examined how IDYs can contribute to wine composition and quality. Many positive effects have been described, such as improving mouthfeel and reducing the perception of acidity (<xref ref-type="bibr" rid="ref5">Charpentier, 2010</xref>; <xref ref-type="bibr" rid="ref11">Del Barrio-Galán <italic>et al.</italic>, 2012</xref>), smoothing of astringency (<xref ref-type="bibr" rid="ref35">Mekoue-Nguela <italic>et al.</italic>, 2015</xref>; <xref ref-type="bibr" rid="ref24">González-Royo <italic>et al.</italic>, 2016</xref>; <xref ref-type="bibr" rid="ref12">Del Barrio-Galán <italic>et al.</italic>, 2019</xref>) and bitterness (<xref ref-type="bibr" rid="ref49">Pozo-Bayón <italic>et al.</italic>, 2009b</xref>; <xref ref-type="bibr" rid="ref25">González-Royo <italic>et al.</italic>, 2013</xref>; <xref ref-type="bibr" rid="ref12">Del Barrio-Galán <italic>et al.</italic>, 2019</xref>), improving the foaming properties of sparkling wines (<xref ref-type="bibr" rid="ref61">Vanrell <italic>et al.</italic>, 2005</xref>; <xref ref-type="bibr" rid="ref30">Marti-Raga <italic>et al.</italic>, 2016</xref>; <xref ref-type="bibr" rid="ref34">Medina-Trujillo <italic>et al.</italic>, 2017</xref>), eliminating the presence of ochratoxin (<xref ref-type="bibr" rid="ref45">Piotrowska <italic>et al.</italic>, 2013</xref>; <xref ref-type="bibr" rid="ref44">Petruzzi <italic>et al.</italic>, 2015</xref>), preventing browning (<xref ref-type="bibr" rid="ref8">Comuzzo and Zironi, 2013</xref>; <xref ref-type="bibr" rid="ref7">Comuzzo <italic>et al.</italic>, 2015</xref>) and ensuring oxidation does not affect aroma (<xref ref-type="bibr" rid="ref50">Pozo‐Bayón <italic>et al.</italic>, 2009c</xref>; <xref ref-type="bibr" rid="ref53">Rodríguez-Bencomo <italic>et al.</italic>, 2014</xref>) due to the ability of IDYs to release glutathione and other antioxidant compounds (<xref ref-type="bibr" rid="ref20">Gabrielli <italic>et al.</italic>, 2017</xref>; <xref ref-type="bibr" rid="ref2">Bahut <italic>et al.</italic>, 2020</xref>).</p>
            <p>It has also been recently reported that some IDYs consume oxygen in a similar way to other common antioxidants used in wine, such as sulfur dioxide (<xref ref-type="bibr" rid="ref57">Sieczkowski <italic>et al.</italic>, 2016a</xref>, <xref ref-type="bibr" rid="ref58">Sieczkowski <italic>et al.</italic>, 2016b</xref>; <xref ref-type="bibr" rid="ref46">Pons <italic>et al.</italic>, 2019</xref>). However, little is known about using IDY to protect wine against oxidation. Therefore, the aim of this study was to measure the kinetics of oxygen consumption using different IDYs and to compare them with those of other common wine antioxidants (sulfur dioxide, ascorbic acid and glutathione) in order to determine their real antioxidant capacity for protecting wine from the detrimental effects of oxygen.</p>
            <p/>
        </sec>
        <sec id="Materials-and-methods">
            <title>Materials and methods</title>
            <sec id="1.-Chemicals">
                <title>1. Chemicals</title>
                <p>Absolute ethanol, L-(+)-tartaric acid, sodium hydroxide, formic acid, Hydrogen chloride and potassium metabisulfite were purchased from Panreac (Barcelona, Spain). Copper (II) sulfate pentahydrate, iron (III) chloride hexahydrate, ascorbic acid, disodium ethylenediaminetetraacetate dihydrate (EDTA), 5,5´-dithiobis-2-nitrobenzoicacid (DTNB), tris(hydroxymethyl)aminomethane (TE8), cysteine, γ-L-glutamyl-L-cysteine and glutathione were purchased from Sigma Aldrich (St Louis, USA). Two different commercial inactivated yeasts (IDY-1: Pure-Lees™ Longevity and IDY-2: Noblesse®) and an experimental (IDY-3: Antiox-1), all provided by Lallemand Inc (Montreal, Canada), were used. IDY-1 and IDY-3 were specifically selected for their ability to consume oxygen, whereas IDY-2 was developed as a substitute for lees for its capacity to release polysaccharides and mannoproteins. Pure water was obtained from a Milli-Q purification system (Millipore, USA).</p>
            </sec>
            <sec id="2.-Experimental-design">
                <title>2. Experimental design</title>
                <p>The experimental design for determining the oxygen consumption rate of IDYs and other antioxidants was an adaptation of those previously described by <xref ref-type="bibr" rid="ref37">Navarro <italic>et al.</italic> (2016)</xref> and <xref ref-type="bibr" rid="ref43">Pascual <italic>et al.</italic> (2017)</xref> for the oxygen consumption rate of oak chips and oenological tannins respectively. A model wine solution composed of ethanol (12 % v/v) and L-(+)-tartaric acid (4 g/L) adjusted at pH = 3.5 with sodium hydroxide was used. This solution was enriched with 3 mg of iron/L, in the form of iron (III) chloride hexahydrate, and 0.3 mg of copper/L in the form of copper (II) sulfate pentahydrate. We worked with this model wine solution rather than with real wine, because the naturally occurring phenolic compounds would have competed with the IDY or other antioxidants, making it impossible to determine their oxygen consumption kinetics. This model wine solution was saturated in oxygen (around 8.0 mg/L) by bubbling with air for 10 min just before beginning the experiment.</p>
                <p>The usual doses of IDY (400 mg/L), potassium metabisulfite (30 mg/L), ascorbic acid (100 mg/L) or glutathione (20 mg/L) were placed in clear glass bottles (750 mL) into which a pill had previously been inserted (PreSens Precision Sensing GmbH, order code: SP-PSt3-NAU-D5-CAF; batch number: 1203-01_PSt3-0828-01, Regensburg, Germany) for the noninvasive measurement of dissolved oxygen by luminescence (Nomasense TM O2 Trace Oxygen Analyzer by Nomacorc S.A., Thimister Clermont, Belgium). The bottles were completely filled with the model wine solution and then immediately closed with a crown cap and bedule so as to minimize the headspace volume. The bottles were then gently shaken to resuspend the IDYs or to dissolve the different antioxidants: sulfur dioxide (added as potassium metabisulfite), ascorbic acid or glutathione. The bottles were maintained at 20 ± 2 <sup>o</sup>C during all this time. Oxygen was measured (<xref ref-type="bibr" rid="ref13">Diéval <italic>et al.</italic>, 2011</xref>) periodically to determine the oxygen consumption rate: oxygen measurements were made every day for the assays containing IDYs, sulfur dioxide and glutathione over two weeks, and every hour for the assay containing ascorbic acid over one day. Figure 1 is a schematic representation of the experimental design.</p>
                <p/>
                <p>
                    <fig>
                        <label>Table</label>
                        <caption>
                            <title>Figure 1. Experimental design for measuring oxygen consumption.</title>
                            <p/>
                        </caption>
                        <graphic mimetype="image" ns1:type="simple" ns1:href="image1.jpeg"/>
                    </fig>
                </p>
                <fig>
                    <label>Table</label>
                    <caption>
                        <title>Figure 1. Experimental design for measuring oxygen consumption.</title>
                        <p/>
                    </caption>
                    <graphic mimetype="image" ns1:type="simple" ns1:href="image1.jpeg"/>
                </fig>
                <p/>
                <p/>
                <p>Two types of control were prepared. Control-A bottles were filled with the oxygen-saturated model wine solution without adding any antioxidant, and Control-B bottles were filled with the same model wine solution, but after bubbling for 10 min with nitrogen to eliminate the oxygen. Control A was used to verify that the model wine solution did not consume oxygen, and Control B was used to verify the tightness of the closure system. All assays were performed in triplicate.</p>
            </sec>
            <sec id="3.-Modelisation-of-the-oxygen-consumption-kinetics">
                <title>3. Modelisation of the oxygen consumption kinetics</title>
                <p>In order to quantify the real oxygen consumption ability of the IDY in comparison with that of the other common antioxidants, we applied the kinetic model proposed by <xref ref-type="bibr" rid="ref43">Pascual <italic>et al.</italic> (2017)</xref> for estimating the oxygen consumption kinetics of oenological tannins. This model consists in displaying the inverse of consumed oxygen versus the inverse of time. According to this mathematical model, the following equation can be established: 1/[O2] = A/t + B. This equation, which describes the relationship between oxygen consumed and time, can be used to determine the oxygen consumption rate at time zero (OCRto) and also the total oxygen consumption capacity (TOCC). Figure 2A shows how the consumed oxygen can be cleared up. Figure 2B shows how the OCRto can be determined after calculating the first derivative and considering time equal to zero. Finally, Figure 2C shows how the TOCC is obtained by calculating the limit when time tends towards infinity.</p>
                <p/>
                <p>
                    <fig>
                        <label>Table</label>
                        <caption>
                            <title>Figure 2. Modeling the Oxygen consumption by the different antioxidant products.</title>
                            <p/>
                        </caption>
                        <graphic mimetype="image" ns1:type="simple" ns1:href="image2.jpg"/>
                    </fig>
                </p>
                <fig>
                    <label>Table</label>
                    <caption>
                        <title>Figure 2. Modeling the Oxygen consumption by the different antioxidant products.</title>
                        <p/>
                    </caption>
                    <graphic mimetype="image" ns1:type="simple" ns1:href="image2.jpg"/>
                </fig>
                <p/>
                <p/>
                <p>According to this model, the OCRt<sub>o</sub> corresponds to the inverse of the slope of the initial equation and the TOCC to the inverse of the y-intercept of the initial equation.</p>
            </sec>
            <sec id="4.-Determination-of-the-glutathione-content-of-inactivated-dry-yeasts">
                <title>4. Determination of the glutathione content of inactivated dry yeasts</title>
                <p>Glutathione extraction and analysis were performed according to an adaptation of the method reported by <xref ref-type="bibr" rid="ref40">Nisamedtinov <italic>et al.</italic> (2010)</xref>.</p>
                <sec id="4.1.-Reagents">
                    <title>4.1. Reagents</title>
                    <p>TE8 solution: 6.05 g/L of tris(hydroxymethyl)aminomethane and 1.12 g/L of EDTA disodium salt dehydrate adjusted at pH = 8.00 with HCl 1N. This solution was stored at 4 °C. DTNB stock-solution: 39.6 mg of DTNB + 8 ml of TE8 solution + 2 ml of NaOH 0.1 N. This solution is stable for at least one month when protected from light. DTNB working-solution: 8 ml of DTNB stock-solution + 92 ml of TE8 solution; fresh solution was prepared and used daily.</p>
                </sec>
                <sec id="4.2.-Glutathione-extraction">
                    <title>4.2. Glutathione extraction</title>
                    <p>Two grams (dry weight) of each inactivated dry yeast was placed into 15 ml centrifuge tubes to which 5 ml of 0.1 N formic acid solution was immediately added. The samples were maintained at room temperature for one hour with frequent vortex shaking. After one hour had elapsed, the samples were centrifuged (Sorval RC5C) at 11.500 rpm for 10 min at 10 <sup>o</sup>C. One hundred mL of the supernatant were added to 4.9 mL of DNTB working solution. The sample was immediately vortexed and kept for 10 min at room temperature. The samples were used immediately for UPLC analysis.</p>
                </sec>
                <sec id="4.3.-Glutathione-UPLC-Analysis">
                    <title>4.3. Glutathione UPLC Analysis</title>
                    <p>An ACQUITY UPLC system (Waters, USA), equipped with a C18 column (AccQ Tag Ultra Column, 100 × 2.1 mm, 1.7 mm, Waters, USA) and a photo diode array (PDA) detector ACQUITY PDA 2996 was used for the chromatographic determination of reduced glutathione. A two-gradient mobile phase (A: water + 0.1 % formic acid and B: acetonitrile + 0.1 % formic acid) and a flow rate of 0.3 mL min-1 was used. The standards (cysteine, γ-L-glutamyl-L-cysteine and reduced glutathione) were used for external calibration after derivatisation with DTNB. Results are expressed as mg of reduced glutathione by gram of dry weight. </p>
                </sec>
            </sec>
            <sec id="5.-Statistics">
                <title>5. Statistics</title>
                <p>All data are expressed as the arithmetic average ± standard deviation of three replicates. One-factor analysis of variance (ANOVA) was carried out using the SPSS 15.0 software (SPSS Inc., Chicago, IL).</p>
            </sec>
        </sec>
        <sec id="Results-and-discussion">
            <title>Results and discussion</title>
            <sec id="1.-Evolution-of-oxygen-concentration-over-time">
                <title>1. Evolution of oxygen concentration over time</title>
                <p>Figure 3 shows the oxygen concentration evolution over time of the initially oxygen-saturated model wine solutions with supplements (the different IDYs and the other common antioxidants) or without supplements.</p>
                <p/>
                <p>
                    <fig>
                        <label>Table</label>
                        <caption>
                            <title>Figure 3.Oxygen concentration evolution in the model wine solution supplemented with the different antioxidant products.</title>
                            <p>All data are expressed as the average of 3 replicates ± standard deviation. IDY = Inactivated Dry Yeasts.</p>
                        </caption>
                        <graphic mimetype="image" ns1:type="simple" ns1:href="image3.jpeg"/>
                    </fig>
                </p>
                <fig>
                    <label>Table</label>
                    <caption>
                        <title>Figure 3.Oxygen concentration evolution in the model wine solution supplemented with the different antioxidant products.</title>
                        <p>All data are expressed as the average of 3 replicates ± standard deviation. IDY = Inactivated Dry Yeasts.</p>
                    </caption>
                    <graphic mimetype="image" ns1:type="simple" ns1:href="image3.jpeg"/>
                </fig>
                <p/>
                <p/>
                <p/>
                <p>The oxygen concentration of Control-A (no antioxidant added) remained stable with only slight, erratic variations that are probably linked to the inherent variability of the analytical procedure. The oxygen intake in Control-B (no oxygen) was very low and can be considered negligible (data not shown). By contrast, the oxygen concentration of the model wine solutions supplemented with the different antioxidants decreased over time, with the exception of IDY-2, where the concentration remained stable.</p>
                <p>As expected, the model wine solution containing ascorbic acid consumed all the oxygen in a few hours, confirming that it is more effective than the other antioxidants (<xref ref-type="bibr" rid="ref3">Barril <italic>et al.</italic>, 2012</xref>). </p>
                <p>The graph clearly shows that, with the sole exception of IDY-2, all the antioxidants consumed oxygen: the most effective was IDY-3, followed in decreasing order by IDY-1, sulfur dioxide and glutathione.</p>
            </sec>
            <sec id="2.-Modeling-oxygen-consumption-kinetics">
                <title>2. Modeling oxygen consumption kinetics</title>
                <p>Since Figure 3 does not provide a clear quantitative comparison of the oxygen consumption kinetics of the IDYs and the other antioxidants, we applied the kinetic model proposed by <xref ref-type="bibr" rid="ref43">Pascual <italic>et al.</italic> (2017)</xref> to better estimate the real capacity of both IDYs to consume oxygen in comparison to that of the other common antioxidants. This model consists in displaying the inverse of consumed oxygen versus the inverse of time, thus obtaining the following equation: <bold>1/[O2] = A/t + B</bold>. Figure 4 shows the results for ascorbic acid, sulfur dioxide, glutathione and both IDYs. In all cases, satisfactory linear regression coefficients were obtained (between 0.9752 and 0.9921), confirming that this mathematical model works reasonably well.</p>
                <p/>
                <p>
                    <fig>
                        <label>Table</label>
                        <caption>
                            <title>Figure 4. Application of the oxygen consumption model to the different antioxidant products. </title>
                            <p>All data are expressed as the average of 3 replicates ± standard deviation. IDY = Inactivated Dried Yeast.</p>
                        </caption>
                        <graphic mimetype="image" ns1:type="simple" ns1:href="image4.jpeg"/>
                    </fig>
                </p>
                <fig>
                    <label>Table</label>
                    <caption>
                        <title>Figure 4. Application of the oxygen consumption model to the different antioxidant products. </title>
                        <p>All data are expressed as the average of 3 replicates ± standard deviation. IDY = Inactivated Dried Yeast.</p>
                    </caption>
                    <graphic mimetype="image" ns1:type="simple" ns1:href="image4.jpeg"/>
                </fig>
                <p/>
                <p/>
                <p>According to the model, the OCRto corresponds to the inverse of the slope and the TOCC corresponds to the inverse of the y-intercept of the above equation (See Figure 2).</p>
                <p>After clearing up the oxygen, the equation <bold>[O2] = t/(A + Bt) </bold>was obtained, which can be used to compare the experimental data (Figure 5A) with the theoretical data (Figure 5B) obtained after applying this model.</p>
                <p/>
                <p/>
                <p>
                    <fig>
                        <label>Table</label>
                        <caption>
                            <title>Figure 5.Oxygen consumption of the different antioxidant products; Comparison between experimental and model data. </title>
                            <p>All data are expressed as the average of 3 replicates ± standard deviation. IDY = Inactivated dry yeasts.</p>
                        </caption>
                        <graphic mimetype="image" ns1:type="simple" ns1:href="image5.jpeg"/>
                    </fig>
                </p>
                <fig>
                    <label>Table</label>
                    <caption>
                        <title>Figure 5.Oxygen consumption of the different antioxidant products; Comparison between experimental and model data. </title>
                        <p>All data are expressed as the average of 3 replicates ± standard deviation. IDY = Inactivated dry yeasts.</p>
                    </caption>
                    <graphic mimetype="image" ns1:type="simple" ns1:href="image5.jpeg"/>
                </fig>
                <p/>
                <p/>
                <p>As the figures show, the mathematical model reproduces the experimental kinetics of oxygen consumption by all the antioxidants quite well. Once again, these results demonstrate the validity of the model.</p>
                <p>
                    <bold>
                        <break/>
                    </bold>
                </p>
            </sec>
            <sec id="3.-Oxygen-consumption-rate-at-time-zero-and-total-oxygen-consumption-capacity">
                <title>3. Oxygen consumption rate at time zero and total oxygen consumption capacity</title>
                <p>As explained above, the kinetic model of <xref ref-type="bibr" rid="ref43">Pascual <italic>et al.</italic> (2017)</xref> can be used to determine two parameters that define the kinetics of oxygen consumption: OCRto and TOCC. Table 1 shows the resulting values for both IDYs and the other tested antioxidants. It also shows the oxygen consumption rate at time zero (% ROCRto) and the total oxygen consumption capacity (% TOCC) of the different antioxidants compared to those of sulfur dioxide at the usual doses.</p>
                <p/>
                <p>
                    <table-wrap position="float" orientation="portait">
                        <label>Table</label>
                        <caption>
                            <title>Table 1. Oxygen consumption rate at time 0 and total oxygen consumption capacity.</title>
                        </caption>
                        <alternatives>
                            <table style="table table-bordered table-striped affichage-tableau">
<col width="16%"/>
<col width="16%"/>
<col width="16%"/>
<col width="16%"/>
<col width="16%"/>
<col width="16%"/>
<col width="16%"/>
<col width="16%"/>
<col width="16%"/>
<col width="16%"/>
<thead>
    <tr>
        <td xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xs="http://www.w3.org/2001/XMLSchema" xsi:type="xs:string">titre du tableau </td>
    </tr>
</thead>
<tr>
    <th>Product</th>
    <th>Usual dose</th>
    <th>OCRto</th>
    <th>%ROCRto</th>
    <th>TOCC</th>
    <th>%RTOCC</th>
</tr>
<tr>
    <th/>
    <th/>
    <th>mg/L.day</th>
    <th/>
    <th>mg/L</th>
    <th/>
</tr>
<tr>
    <th>SO<sub>2</sub>
    </th>
    <th>30 mg/L</th>
    <th>0.18</th>
    <th>±</th>
    <th>0.06</th>
    <th>A</th>
    <th>100</th>
    <th>2.27</th>
    <th>±</th>
    <th>0.76</th>
    <th>A</th>
    <th>100</th>
</tr>
<tr>
    <th>Ascorbic Acid</th>
    <th>100 mg/L</th>
    <th>63.16</th>
    <th>±</th>
    <th>2.34</th>
    <th>D</th>
    <th>35089</th>
    <th>9.52</th>
    <th>±</th>
    <th>0.41</th>
    <th>D</th>
    <th>419</th>
</tr>
<tr>
    <th>Glutathione</th>
    <th>20 mg/L</th>
    <th>0.85</th>
    <th>±</th>
    <th>0.09</th>
    <th>C</th>
    <th>472</th>
    <th>0.49</th>
    <th>±</th>
    <th>0.05</th>
    <th>C</th>
    <th>22</th>
</tr>
<tr>
    <th>IDY-1</th>
    <th>400 mg/L</th>
    <th>0.60</th>
    <th>±</th>
    <th>0.01</th>
    <th>B</th>
    <th>333</th>
    <th>2.86</th>
    <th>±</th>
    <th>0.05</th>
    <th>B</th>
    <th>126</th>
</tr>
<tr>
    <th>IDY-3</th>
    <th>400 mg/L</th>
    <th>0.98</th>
    <th>±</th>
    <th>0.17</th>
    <th>C</th>
    <th>544</th>
    <th>4.02</th>
    <th>±</th>
    <th>0.40</th>
    <th>C</th>
    <th>177</th>
</tr>
                            </table>
                        </alternatives>
                        <table-wrap-foot>
                            <fn>
<p>All data are expressed as the average of 3 replicates ± standard deviation. IDY: Inactivated Dry Yeasts; OCRto: Oxygen consumption rate at time 0; % ROCRto: Relative OCRto referred to sulfur dioxide; TOCC: Total oxygen consumption capacity; RTOCC: Relative TOCC referred to sulfur dioxide.</p>
                            </fn>
                        </table-wrap-foot>
                    </table-wrap>
                </p>
                <p/>
                <p>Sulfur dioxide, which is by far the most widely used antioxidant in wine production, showed the lowest OCRto of all the studied antioxidants, indicating that its direct reaction with oxygen is slow. However, sulfur dioxide is mainly used as an antioxidant because of its ability to react with hydrogen peroxide formed by oxidation of polyphenols (<xref ref-type="bibr" rid="ref9">Danilewicz, 2015</xref>), its effectiveness to inhibit polyphenol oxidases (<xref ref-type="bibr" rid="ref62">Vignault <italic>et al.</italic>, 2020</xref>), and its capacity to react with ethanal and therefore eliminate its unpleasant smell (<xref ref-type="bibr" rid="ref56">Sheridan and Elias, 2016</xref>). The TOCC obtained for sulfur dioxide using this model was lower than the corresponding stoichiometric value of 30 mg of SO<sub>2</sub>/L (2.27 mg/L versus 7.50 mg/L respectively). This difference can probably be attributed to the fact that the reaction is very slow, and that after 15 days not all of the sulfur dioxide had been consumed.</p>
                <p>The % ROCRto results indicate that ascorbic acid initially consumes oxygen around 350 times faster than sulfur dioxide, and the % TOCC indicates that it can consume around 4.2 times more oxygen than sulfur dioxide at the usual doses. These data confirm the high effectiveness of ascorbic acid reported in the literature (<xref ref-type="bibr" rid="ref3">Barril <italic>et al.</italic>, 2012</xref>). However, the fact that ascorbic acid generates hydrogen peroxide after consuming oxygen must be taken into account, as its use in wine may cause subsequent oxidations (<xref ref-type="bibr" rid="ref23">Gibson, 2006</xref>; <xref ref-type="bibr" rid="ref42">Oliveira <italic>et al.</italic>, 2011</xref>) which can affect the sensory quality of the wine. For this reason, ascorbic acid must be always used in the presence of sulfur dioxide to prevent wine oxidation (<xref ref-type="bibr" rid="ref4">Barril <italic>et al.</italic>, 2016</xref>). The TOCC obtained using this model was very close to the corresponding stoichiometric value of 100 mg of ascorbic acid/L (9.52 mg/L versus 9.08 mg/L respectively).</p>
                <p>The % ROCRto of glutathione is around 4.7 times greater than that of sulfur dioxide but the % TOCC is around 5 times lower. These data indicate that glutathione reacts faster with oxygen than sulfur dioxide; however, the maximal dose of this antioxidant (20 mg/L) authorised by the International Organization of Vine and Wine (<xref ref-type="bibr" rid="ref41">OIV, 2015</xref>) can only directly consume small amounts of oxygen. To our knowledge, there are no data on the kinetics of oxygen consumption by glutathione in a medium similar to wine. There is extensive literature, however, on its protective effect against browning (<xref ref-type="bibr" rid="ref16">El Hosry <italic>et al.</italic>, 2009</xref>; <xref ref-type="bibr" rid="ref27">Kritzinger <italic>et al.</italic>, 2013</xref>) and the loss of certain aromas (<xref ref-type="bibr" rid="ref54">Roussis <italic>et al.</italic>, 2007</xref>; <xref ref-type="bibr" rid="ref53">Rodríguez-Bencomo <italic>et al.</italic>, 2014</xref>), especially volatile thiols (<xref ref-type="bibr" rid="ref60">Ugliano <italic>et al.</italic>, 2011</xref>; <xref ref-type="bibr" rid="ref38">Nikolantonaki <italic>et al.</italic>, 2018</xref>). The mechanism by which glutathione manifests these protective effects seems to be more closely related to its ability to block the orthoquinones that form grape reaction product (GRP) than to its direct reactivity to oxygen (<xref ref-type="bibr" rid="ref39">Nikolantonaki <italic>et al.</italic>, 2014</xref>; <xref ref-type="bibr" rid="ref65">Webber <italic>et al.</italic>, 2017</xref>). The orthoquinones formed by the reaction of oxygen with orthophenols can subsequently react with volatile thiols to form adducts that are no longer volatile, or with other phenols to form melanins that cause browning. Consequently, its blockage by glutathione prevents the loss of volatile thiols and browning. The TOCC obtained using this model was also very close to the corresponding stoichiometric value of 20 mg of ascorbic acid/L (0.49 mg/L versus 0.52 mg/L).</p>
                <p>Table 1 also shows the oxygen consumption kinetic parameters of IDY-1 and IDY-3. No data are shown for IDY-2, because this inactivated dry yeast did not show any effects (see Figure 3). The % OCRto indicates that oxygen is consumed 3.3 times faster by IDY-1 and 5.4 times faster by IDY-3 than sulfur dioxide. Furthermore, the TOCC values for both IDYs were also higher than those of sulfur dioxide: comparison of the % TOCC values shows that IDY-1 and IDY-3 can consume around 1.2 and 1.8 more oxygen respectively. These TOCC values were similar to those reported by <xref ref-type="bibr" rid="ref57">Sieczkowski <italic>et al.</italic> (2016a)</xref>; <xref ref-type="bibr" rid="ref58">Sieczkowski <italic>et al.</italic> (2016b)</xref> for an equivalent dose of IDY.</p>
                <p>
                    <bold>4. Glutathione content of the inactivated dry yeasts</bold>
                </p>
                <p>Table 2 shows the glutathione content of the different IDY. The highest glutathione concentration was found in IDY-3 followed in decreasing order by IDY-1 and IDY-2. Table 2 also shows the corresponding glutathione concentration corresponding to the total glutathione released to the model wine solution by the different IDYs and the corresponding stoichiometric oxygen consumption capacity (SOCC).</p>
                <p>
                    <table-wrap position="float" orientation="portait">
                        <label>Table</label>
                        <caption>
                            <title>Table 2. Glutathione content and oxygen consumption.</title>
                        </caption>
                        <alternatives>
                            <table style="table table-bordered table-striped affichage-tableau">
<col width="20%"/>
<col width="20%"/>
<col width="20%"/>
<col width="20%"/>
<col width="20%"/>
<col width="20%"/>
<col width="20%"/>
<col width="20%"/>
<col width="20%"/>
<thead>
    <tr>
        <td xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xs="http://www.w3.org/2001/XMLSchema" xsi:type="xs:string">titre du tableau </td>
    </tr>
</thead>
<tr>
    <th>Inactivated dry yeast</th>
    <th>Glutathione (mg/g dry weight)</th>
    <th>Glutathione (mg/L)</th>
    <th>Stoichiometric oxygen consumption capacity                  (mg/L)</th>
    <th>TOCC (mg/L)</th>
</tr>
<tr>
    <th>IDY-1</th>
    <th>8.87</th>
    <th>±</th>
    <th>0.95</th>
    <th>B</th>
    <th>3.55</th>
    <th>±</th>
    <th>0.37</th>
    <th>B</th>
    <th>0.09</th>
    <th>±</th>
    <th>0.01</th>
    <th>B</th>
    <th>2.86</th>
    <th>±</th>
    <th>0.25</th>
    <th>B</th>
</tr>
<tr>
    <th>IDY-2</th>
    <th>3.95</th>
    <th>±</th>
    <th>0.80</th>
    <th>A</th>
    <th>1.59</th>
    <th>±</th>
    <th>0.32</th>
    <th>A</th>
    <th>0.04</th>
    <th>±</th>
    <th>0.01</th>
    <th>A</th>
    <th>n.d</th>
    <th/>
</tr>
<tr>
    <th>IDY-3</th>
    <th>13.90</th>
    <th>±</th>
    <th>1.41</th>
    <th>C</th>
    <th>5.56</th>
    <th>±</th>
    <th>0.56</th>
    <th>C</th>
    <th>0.14</th>
    <th>±</th>
    <th>0.01</th>
    <th>C</th>
    <th>4.02</th>
    <th>±</th>
    <th>0.40</th>
    <th>C</th>
</tr>
<tr>
    <th>Glutathione</th>
    <th>-</th>
    <th/>
    <th>20.00</th>
    <th/>
    <th>0.52</th>
    <th/>
    <th>0.49</th>
    <th>±</th>
    <th>0.22</th>
    <th>C</th>
</tr>
                            </table>
                        </alternatives>
                        <table-wrap-foot>
                            <fn>
<p>All data are expressed as the average of 3 replicates ± standard deviation. IDY:= Inactivated Dry Yeasts.</p>
                            </fn>
                        </table-wrap-foot>
                    </table-wrap>
                </p>
                <p/>
                <p>Two clear conclusions can be drawn from these results: first, the glutathione concentration released by all the IDYs is much lower than the maximal authorised dose of pure glutathione; second, the IDYs better able to consume oxygen were precisely those that released more glutathione (IDY-1 and especially IDY-3). However, the levels of glutathione released by the different IDY does not justify all the oxygen consumption. Figure 6 displays the total oxygen consumption capacity (TOCC) of pure glutathione, and the different IDYs versus their corresponding values of the stoichiometric oxygen consumption capacity (SOCC).</p>
                <p/>
                <p/>
                <p>
                    <fig>
                        <label>Table</label>
                        <caption>
                            <title>Figure 6.Total oxygen consumption capacity versus stoichiometric oxygen consumption capacity of glutathione and inactivated dry yeasts.</title>
                            <p>All data are expressed as the average of 3 replicates ± standard deviation. IDY = Inactivated Dry Yeasts; TOCC: Total oxygen consumption capacity; SOCC: Stoichiometric oxygen consumption capacity.</p>
                        </caption>
                        <graphic mimetype="image" ns1:type="simple" ns1:href="image6.jpg"/>
                    </fig>
                </p>
                <fig>
                    <label>Table</label>
                    <caption>
                        <title>Figure 6.Total oxygen consumption capacity versus stoichiometric oxygen consumption capacity of glutathione and inactivated dry yeasts.</title>
                        <p>All data are expressed as the average of 3 replicates ± standard deviation. IDY = Inactivated Dry Yeasts; TOCC: Total oxygen consumption capacity; SOCC: Stoichiometric oxygen consumption capacity.</p>
                    </caption>
                    <graphic mimetype="image" ns1:type="simple" ns1:href="image6.jpg"/>
                </fig>
                <p/>
                <p/>
                <p>This figure indicates a reasonably good correlation between TOCC and SOCC for the three studied IDYs. It also shows that IDY-2 does not consume oxygen and that IDY-1 and IDY-3 consume much more than the corresponding stoichiometric oxygen consumption capacity of the glutathione they are able to release. Therefore, these data indicate that the oxygen consumption by IDYs must be related to mechanisms other than glutathione release. </p>
            </sec>
        </sec>
        <sec id="Conclusion">
            <title>Conclusion</title>
            <p>This work showed that nearly all the studied antioxidants directly consume oxygen in a model wine solution. Ascorbic acid consumed oxygen much faster than the other antioxidants, followed in decreasing order by IDY-3, glutathione, IDY-1 and sulfur dioxide at the usual doses. Ascorbic acid also showed the highest total oxygen consumption capacity, followed in decreasing order by IDY-3, IDY-1, sulfur dioxide and glutathione. </p>
            <p>Furthermore, these results confirm that some inactivated dry yeasts are more effective than sulfur dioxide at directly consuming oxygen; they could therefore be a very useful tool for protecting wine against oxidation. However, the direct oxygen consumption by IDYs cannot be justified by their content in glutathione since the corresponding stoichiometric consumption is much lower than their real oxygen consumption capacity. Further research is needed to investigate the mechanisms by which some inactivated dry yeasts consume oxygen, and to determine whether they can be used to reduce the dose of sulfur dioxide while still preventing spoilage due to oxidation.</p>
        </sec>
        <sec id="Acknowledgments">
            <title>Acknowledgments</title>
            <p>This research was funded by the Spanish Ministry of Science and Innovation, Interministerial Commission for Science and Technology (CICYT - project RTI2018-095658-B-C33) and Centre for the Development of Industrial Technology (CDTI – CIEN program, projects GLOBALVITI and CAVAWINNER).</p>
        </sec>
    </body>
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