<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xml:lang="en" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
	<front>
		<journal-meta>
			<journal-id journal-id-type="publisher-id">GYA</journal-id>
			<journal-title-group>
				<journal-title>Grasas y Aceites</journal-title>
				<abbrev-journal-title abbrev-type="publisher">Grasas y Aceites</abbrev-journal-title>
			</journal-title-group>
			<issn publication-format="electronic">1988-4214</issn>
			<issn-l>0017-3495</issn-l>
			<publisher>
				<publisher-name>Consejo Superior de Investigaciones Cient&#xed;ficas</publisher-name>
			</publisher>
		</journal-meta>
		<article-meta>
			<article-id pub-id-type="publisher-id">gya.0320231</article-id>
			<article-id pub-id-type="doi">10.3989/gya.0320231</article-id>
			<article-categories>
				<subj-group subj-group-type="heading">
					<subject>Research</subject>
				</subj-group>
			</article-categories>
			<title-group>
				<article-title>Evaluation the kinetic of peroxide and hexanal formation in ascorbyl palmitate incorporated sunflower oil during accelerated oxidation</article-title>
				<trans-title-group xml:lang="es">
					<trans-title>Evaluaci&#xf3;n de la cin&#xe9;tica de formaci&#xf3;n de per&#xf3;xido y hexanal en aceite de girasol con palmitato de ascorbilo incorporado durante oxidaci&#xf3;n acelerada</trans-title>
				</trans-title-group>
			</title-group>
			<contrib-group>
				<contrib contrib-type="author">
					<contrib-id contrib-id-type="orcid">https://orcid.org/0009-0006-2317-2333</contrib-id>
					<name>
						<surname>Kavran</surname>
						<given-names>P.</given-names>
					</name>
					<aff id="aff1"><institution content-type="department">Department of Food Engineering</institution>, <institution content-type="faculty">Engineering Faculty</institution>, <institution content-type="university">Van Y&#xfc;z&#xfc;nc&#xfc; Y&#x131;l University</institution>, <addr-line>65080 Van</addr-line>, <country>Turkey</country></aff>
				</contrib>
				<contrib contrib-type="author">
					<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0688-9499</contrib-id>
					<name>
						<surname>Y&#xfc;cel</surname>
						<given-names>T.</given-names>
					</name>
					<aff id="aff2"><institution content-type="department">Department of Food Engineering</institution>, <institution content-type="faculty">Engineering Faculty</institution>, <institution content-type="university">Van Y&#xfc;z&#xfc;nc&#xfc; Y&#x131;l University</institution>, <addr-line>65080 Van</addr-line>, <country>Turkey</country></aff>
				</contrib>
				<contrib contrib-type="author">
					<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9913-1091</contrib-id>
					<name>
						<surname>Bakkalba&#x15f;&#x131;</surname>
						<given-names>E.</given-names>
					</name>
					<aff id="aff3"><institution content-type="department">Department of Food Engineering</institution>, <institution content-type="faculty">Engineering Faculty</institution>, <institution content-type="university">Van Y&#xfc;z&#xfc;nc&#xfc; Y&#x131;l University</institution>, <addr-line>65080 Van</addr-line>, <country>Turkey</country></aff>
				</contrib>
				<contrib contrib-type="author">
					<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9525-6206</contrib-id>
					<name>
						<surname>G&#xfc;le&#xe7;</surname>
						<given-names>H.A.</given-names>
					</name>
					<aff id="aff4"><institution content-type="department">Department of Food Engineering</institution>, <institution content-type="faculty">Engineering Faculty</institution>, <institution content-type="university">Trakya University</institution>, <addr-line>22180 Edirne</addr-line>, <country>Turkey</country></aff>
				</contrib>
				<contrib contrib-type="author" corresp="yes">
					<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7896-5871</contrib-id>
					<name>
						<surname>Cavido&#x11f;lu</surname>
						<given-names>&#x130;.</given-names>
					</name>
					<email xlink:href="isacavidoglu@yyu.edu.tr">isacavidoglu@yyu.edu.tr</email>
					<aff id="aff5"><institution content-type="department">Department of Food Engineering</institution>, <institution content-type="faculty">Engineering Faculty</institution>, <institution content-type="university">Van Y&#xfc;z&#xfc;nc&#xfc; Y&#x131;l University</institution>, <addr-line>65080 Van</addr-line>, <country>Turkey</country></aff>
				</contrib>
			</contrib-group>
			<pub-date pub-type="epub">
				<day>01</day>
				<month>03</month>
				<year>2024</year>
			</pub-date>
			<pub-date pub-type="collection">
				<month>03</month>
				<year>2024</year>
			</pub-date>
			<volume>75</volume>
			<issue>1</issue>
			<elocation-id>e536</elocation-id>
			<pub-history>
				<event>
					<event-desc>Submitted</event-desc>				
					<date date-type="received">
						<day>13</day>
						<month>03</month>
						<year>2023</year>
					</date>
				</event>
				<event>
					<event-desc>Accepted</event-desc>				
					<date date-type="accepted">
						<day>14</day>
						<month>09</month>
						<year>2023</year>
					</date>
				</event>
				<event>
					<event-desc>Published online</event-desc>				
					<date date-type="pub">
						<day>25</day>
						<month>03</month>
						<year>2024</year>
					</date>
				</event>
			</pub-history>
			<permissions>
				<copyright-statement>&#xa9;2024 CSIC</copyright-statement>
				<copyright-year>2024</copyright-year>
				<license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/">
					<license-p>This is an open-access article distributed under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) License.</license-p>
				</license>
			</permissions>
			<self-uri xlink:href="http://grasasyaceites.revistas.csic.es/index.php/grasasyaceites/article/view/XXXX/XXXX"/>
			<abstract>
				<title>Summary</title>
				<p>The effects of temperature (40-80 &#xb0;C), time (0-28 days), and different concentrations (0-1000 mg/kg) of ascorbyl palmitate (AP) on peroxide value, conjugated diene, triene acids and hexanal contents in sunflower oil kept under accelerated oxidation conditions have been evaluated. Samples with added AP showed lower peroxide values and hexanal contents than their counterparts without AP. While with increasing temperature, the reaction orders for peroxide formation reduced from first to zero order, those for hexanal formation were found to be first order under different experimental conditions. AP reduced the reaction rate constant for peroxide and hexanal formation. The activation energy required for peroxide and hexanal formation ranged from 14.64-89.40 and 1.62-12.14 kJ/mol K, respectively. 400 mg/kg AP, providing the highest activation energies for peroxide and hexanal formation, was found to be the best concentration to enhance the oxidative stability of sunflower oil under defined conditions.</p>
			</abstract>
			<trans-abstract xml:lang="es">
				<title>Resumen</title>
				<p>Se ha determinado los efectos de la temperatura (40-80&#xb0;C), el tiempo (0-28 d&#xed;as) y diferentes concentraciones (0-1000 mg/kg) de palmitato de ascorbilo (AP) sobre el &#xed;ndice de per&#xf3;xidos, dienos conjugados, &#xe1;cidos trieno y hexanal, en aceites de girasol sometidos a condiciones de oxidaci&#xf3;n acelerada. Las muestras con AP agregado mostraron valores de per&#xf3;xido y contenidos de hexanal m&#xe1;s bajos que sus correspondientes sin AP, mientras que al aumentar la temperatura los &#xf3;rdenes de reacci&#xf3;n para la formaci&#xf3;n de per&#xf3;xido se redujeron del primer orden a orden cero. Se encontr&#xf3; que la formaci&#xf3;n de hexanal era de primer orden para las diferentes condiciones experimentales. AP redujo la constante de velocidad de reacci&#xf3;n para la formaci&#xf3;n de per&#xf3;xido y hexanal. La energ&#xed;a de activaci&#xf3;n requerida para la formaci&#xf3;n de per&#xf3;xidos y hexanal oscil&#xf3; entre 14,64-89,40 y 1,62-12,14 kJ/molK, respectivamente. Se encontr&#xf3; que la concentraci&#xf3;n de AP de 400 mg/kg, que proporciona las energ&#xed;as de activaci&#xf3;n m&#xe1;s altas para la formaci&#xf3;n de per&#xf3;xido y hexanal, era la mejor concentraci&#xf3;n para mejorar la estabilidad oxidativa del aceite de girasol en las condiciones definidas.</p>
			</trans-abstract>
			<kwd-group>
				<kwd>Activation energy</kwd>
				<kwd>Ascorbyl palmitate</kwd>
				<kwd>Hexanal</kwd>
				<kwd>Kinetic parameters</kwd>
				<kwd>Oxidative stability</kwd>
				<kwd>Peroxide value</kwd>
			</kwd-group>
			<kwd-group xml:lang="es">
				<kwd>Energ&#xed;a de activaci&#xf3;n</kwd>
				<kwd>Estabilidad oxidativa</kwd>
				<kwd>Hexanal</kwd>
				<kwd>&#xcd;ndice de per&#xf3;xidos</kwd>
				<kwd>Palmitato de ascorbilo</kwd>
				<kwd>Par&#xe1;metros cin&#xe9;ticos</kwd>
			</kwd-group>
			<funding-group id="fw-01">
				<award-group id="aw1">
					<funding-source>Van Y&#xfc;z&#xfc;nc&#xfc; Y&#x131;l University</funding-source>
					<award-id>2014-FBE-YL002</award-id>
				</award-group>
				<funding-statement>This work was supported by Van Y&#xfc;z&#xfc;nc&#xfc; Y&#x131;l University Research Found (Project no: 2014-FBE-YL002).</funding-statement>
			</funding-group>
			<counts>
				<fig-count count="4"/>
				<table-count count="1"/>
				<equation-count count="9"/>
				<ref-count count="26"/>
				<page-count count="12"/>
			</counts>
		</article-meta>
	</front>
	<body>
		<sec id="sec1" sec-type="intro">
			<label>1.</label>
			<title>Introduction</title>
			<p>As an important food ingredient, the production and consumption of vegetable oils shows an increasing trend all over the world. Vegetable oils attract the intention of health-conscious consumers due to their high unsaturated fatty acids (UFAs) contents. A higher consumption of UFA reduces blood pressure, total and low-density lipoprotein (LDL) cholesterol. Consequently, it is considered to decrease the risk of coronary heart disease (<xref ref-type="bibr" rid="B12">Iso <italic>et al</italic>., 2002</xref>). However, high UFAs lead to a high oxidation rate and short shelf-life owing to their susceptibility to oxidation. Oxidation consists of a series of chain reactions, resulting in quality loss, including the formation of primary and secondary oxidation products and undesirable rancid taste and flavor in oils (<xref ref-type="bibr" rid="B23">Shahidi and Wandanasundara, 2002</xref>). Recently, extracts from natural sources have been used as alternatives to synthetic antioxidants such as butylated hydroxyanisole, butylated hydroxytoluene, and tert-butylhydroquinone because of their possible adverse effects on health (<xref ref-type="bibr" rid="B25">Yanishlieva and Marinova, 2001</xref>). Extracts from nettle, flax seed, sage, mint, thyme and walnut press-cake have been investigated for their antioxidative activity in different oils (<xref ref-type="bibr" rid="B19">Mart&#xed;nez <italic>et al</italic>., 2013</xref>, <xref ref-type="bibr" rid="B8">Ba&#x15f;t&#xfc;rk <italic>et al</italic>., 2018</xref>, <xref ref-type="bibr" rid="B4">Bakkalba&#x15f;&#x131;, 2019</xref>). However, these applications are still far from being widely used in the oil industry due to their high cost.</p>
			<p>Another alternative is to use derivatives of natural antioxidants. Ascorbic acid is an excellent antioxidant in a hydrophilic medium and can be produced synthetically. AP is a fat-soluble synthetic ester of ascorbic and palmitic acids. It has a &#x201c;generally recognized as safe&#x201d; (GRAS) status with no limitation for use in the food, pharmaceutical, or cosmetic industries (<xref ref-type="bibr" rid="B22">Perricone <italic>et al</italic>., 1999</xref>, <xref ref-type="bibr" rid="B26">&#x160;piclin <italic>et al</italic>., 2001</xref>).</p>
			<p>According to <xref ref-type="bibr" rid="B18">Lee <italic>et al</italic>. (1997)</xref> AP leads to the retarding of oxidative rancidity by quenching singlet oxygen. <xref ref-type="bibr" rid="B9">Coppen (1994)</xref> noted the ability of AP to remove or sequester trace metals that catalyze peroxide formation. There are several studies regarding the antioxidative effect of AP in different oils. <xref ref-type="bibr" rid="B5">Bartee <italic>et al</italic>. (2007)</xref> indicated that different concentrations of AP (300-1200 mg/kg) significantly affected the oxidative stability of oils with different ratios of arachidonic, docosapentaenoic, and docosahexaenoic acids. <xref ref-type="bibr" rid="B7">Ba&#x15f;t&#xfc;rk <italic>et al.</italic> (2017)</xref> investigated the effects of AP (0, 200, and 400 mg/kg), Cu<sup>+2</sup> and Fe<sup>+2</sup> ions (0, 0.15, and 0.3 mg/kg) on the oxidative stability of sunflower oil during accelerated oxidation. They reported that the addition of 400 mg/kg AP limited the formation of peroxides in both Fe<sup>2+</sup> and Cu<sup>2+</sup> added samples. <xref ref-type="bibr" rid="B15">Javidipour <italic>et al</italic>. (2015)</xref> reported that cottonseed and olive oils containing 400 mg/kg AP showed higher tocopherol, and lower peroxide value (PV) and malondialdehyde contents than those without AP during chemical interesterification, and storage at 60 &#xb0;C. </p>
			<p>The objective of this study was to determine the effects of AP on the levels of oxidation of sunflower oil by evaluating PV, conjugated dienes and trienes, and hexanal contents and some kinetic parameters in terms of the formation of peroxide and hexanal under accelerated oxidation conditions. Unlike previous studies, a wide range of AP concentrations (0, 200, 400, 600, 800, and 1000 mg/kg), including higher levels wase evaluated.</p>
		</sec>
		<sec id="sec2" sec-type="materials|methods">
			<label>2.</label>
			<title>Materials and methods</title>
			<sec id="sec2.1">
				<label>2.1.</label>
				<title>Materials</title>
				<p>Sunflower oil (Komili, T&#xfc;rkiye) was obtained from a local market in the Van province of Turkey. Ethanol, diethyl ether, n-hexane, isooctane, potassium hydroxide (KOH), and acetic acid were obtained from Merck (Darmstadt, Germany). AP, 2-methyl-3-heptanone, and hexanal were purchased from Sigma-Aldrich Co. (St. Louis, MO, USA).</p>
			</sec>
			<sec id="sec2.2">
				<label>2.2.</label>
				<title>Methods</title>
				<sec id="sec2.2.1">
					<label>2.2.1.</label>
					<title>Experimental design for accelerated oxidation</title>
					<p> AP was added in concentrations of 200, 400, 600, 800, and 1000 mg/kg to sunflower oil as antioxidant preparate. Sunflower oil without AP was used as a control. The AP was added to the sunflower oil (50 g) in a glass bottle (100 mL) and mixed for 60 s using a magnetic stirrer (MR Hei-Tec, Heidolph, Germany). Accelerated oxidation in the dark (at 40, 60, and 80 &#xb0;C for 28 days) was applied in a thermostated oven (EN 400 Y, Nuve, Istanbul, Turkey) to the un-sealed antioxidant-added oil and control samples. Samples were withdrawn from each treatment at 0, 7, 14, 21, and 28 days of storage for chemical analysis (<xref ref-type="bibr" rid="B15">Javidipour <italic>et al</italic>., 2015</xref>). Three independent series of experiments were carried out under the same conditions and the analysis was made in triplicate. </p>
				</sec>
				<sec id="sec2.2.2">
					<label>2.2.2.</label>
					<title>PV analysis</title>
					<p>The PVs of the oil samples were determined using a titration method according to the <xref ref-type="bibr" rid="B1">AOCS (1998)</xref> Official Method Cd 8- 53 and was expressed as milliequivalents of active oxygen per kilogram of oil (meq O<sub>2</sub>/kg oil).</p>
				</sec>
				<sec id="sec2.2.3">
					<label>2.2.3.</label>
					<title>Analysis of conjugated dienes (k<sub>232</sub>) and trienes (k<sub>270</sub>)</title>
					<p>The k<sub>232</sub> and k<sub>270</sub> values were determined according to the <xref ref-type="bibr" rid="B2">AOCS (2003)</xref> Official Method Ch 5-91. Samples were diluted with isooctane and specific extinctions at 232 nm for conjugated dienes and 270 nm for conjugated trienes were determined by using a spectrophotometer (Agilent 8453, CA, USA).</p>
				</sec>
				<sec id="sec2.2.4">
					<label>2.2.4.</label>
					<title>Hexanal analysis</title>
					<p>The Solid-Phase Micro-Extraction (SMPE) method proposed by <xref ref-type="bibr" rid="B14">Javidipour and Qian (2008)</xref> with slight modifications was applied to analyze the hexanal contents in the samples. Hexanal was extracted by a 1-cm (65 &#x3bc;m polydimethylsiloxane/divinylbenzene) SPME fiber (Supelco Co., Bellefonte, PA, USA). 2.0 g of sunflower oil was weighed into 20-mL glass vials and as an internal standard 0.1 g 2-methyl-3-heptanone (100 mg/kg, w/w) was added. The vials were capped with teflon-lined septa, crimped, and then placed in a magnetic stirrer (MR Hei-Tec, Heidolph, Germany). The pre-conditioned fiber (at 250 for 10 min) was applied to the vial in the injection port of an Agilent 6890 N (USA) gas chromatography (GC) for the extraction of hexanal (30 minutes) after 5 minutes equilibration. The desorption, separation and identification of hexanal were carried out in a flame ionization detector (FID) donated (270 &#xb0;C) GC equipped with a HP- Innowax column (30 m &#xd7; 0.25 mm id &#xd7; 0.25 mm film thickness, J&amp;W Scientific, Folsom, CA, USA). The splitless injection mode was used for 3 min (250 &#xb0;C) with nitrogen as carrier gas (0.5 mL/min). The oven temperature was initially adjusted at 37 &#xb0;C, held for 5 min, then increased to 75 &#xb0;C (8 &#xb0;C/min) and 220 &#xb0;C (40 &#xb0;C/min) and finally held at 220 &#xb0;C for 1 min. All measurements were carried out in triplicate using the same SPME fiber.</p>
				</sec>
				<sec id="sec2.2.5">
					<label>2.2.5.</label>
					<title>Kinetic calculations</title>
					<p>The experimental results were analyzed according to <xref ref-type="bibr" rid="B6">Ba&#x15f;t&#xfc;rk <italic>et al</italic>. (2007)</xref> to estimate the kinetic parameters. Lipid oxidation reactions are defined as an autocatalyzed reaction by hydroperoxides. <xref ref-type="bibr" rid="B21">Ozilgen and Ozilgen (1990)</xref> provided <xref ref-type="disp-formula" rid="e1">Equation (1)</xref>, according to PV determination:</p>
					<disp-formula id="e1">
						<mml:math id="mml-1">
							<mml:mfrac>
								<mml:mrow>
									<mml:mi>d</mml:mi>
									<mml:mi>C</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mi>d</mml:mi>
									<mml:mi>t</mml:mi>
								</mml:mrow>
							</mml:mfrac>
							<mml:mo>=</mml:mo>
							<mml:mi>k</mml:mi>
							<mml:mfenced separators="|">
								<mml:mrow>
									<mml:mfrac>
										<mml:mrow>
											<mml:mi>C</mml:mi>
										</mml:mrow>
										<mml:mrow>
											<mml:mn>1</mml:mn>
											<mml:mo>-</mml:mo>
											<mml:mfrac>
												<mml:mrow>
													<mml:mi>C</mml:mi>
												</mml:mrow>
												<mml:mrow>
													<mml:msub>
														<mml:mrow>
															<mml:mi>C</mml:mi>
														</mml:mrow>
														<mml:mrow>
															<mml:mi>m</mml:mi>
															<mml:mi>a</mml:mi>
															<mml:mi>x</mml:mi>
														</mml:mrow>
													</mml:msub>
												</mml:mrow>
											</mml:mfrac>
										</mml:mrow>
									</mml:mfrac>
								</mml:mrow>
							</mml:mfenced>
						</mml:math>
						<label>(1)</label>
					</disp-formula>
					<p>where C is the concentration of the total oxidation products, Cmax is the maximum attainable concentration of the oxidation product (in this case, hydroperoxides), k is the rate constant and t is time. In the early stages of the lipid oxidation process when C &lt;&lt; C max, the term 1-C/Cmax = 1, and <xref ref-type="disp-formula" rid="e2">Equation (2)</xref> were obtained (<xref ref-type="bibr" rid="B16">Kamal-Eldin and Yanishlieva, 2005</xref>).</p>
					<disp-formula id="e2">
						<mml:math id="mml-2">
							<mml:mfrac>
								<mml:mrow>
									<mml:mi>d</mml:mi>
									<mml:mi>C</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mi>d</mml:mi>
									<mml:mi>t</mml:mi>
								</mml:mrow>
							</mml:mfrac>
							<mml:mo>=</mml:mo>
							<mml:mi>k</mml:mi>
							<mml:mi>C</mml:mi>
						</mml:math>
						<label>(2)</label>
					</disp-formula>
					<p>A kinetic model (<xref ref-type="disp-formula" rid="e3">Equation 3</xref>) was derived from a first-order autocatalytic reaction and a second-order decomposition reaction (<xref ref-type="bibr" rid="B10">Crapiste <italic>et al</italic>., 1999</xref>):</p>
					<disp-formula id="e3">
						<mml:math id="mml-3">
							<mml:mfrac>
								<mml:mrow>
									<mml:mi>d</mml:mi>
									<mml:mi>P</mml:mi>
									<mml:mi>V</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mi>d</mml:mi>
									<mml:mi>t</mml:mi>
								</mml:mrow>
							</mml:mfrac>
							<mml:mo>=</mml:mo>
							<mml:msub>
								<mml:mrow>
									<mml:mi>k</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mn>1</mml:mn>
								</mml:mrow>
							</mml:msub>
							<mml:mi>P</mml:mi>
							<mml:mi>V</mml:mi>
							<mml:mo>-</mml:mo>
							<mml:msub>
								<mml:mrow>
									<mml:mi>k</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mn>2</mml:mn>
								</mml:mrow>
							</mml:msub>
							<mml:msup>
								<mml:mrow>
									<mml:mi>P</mml:mi>
									<mml:mi>V</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mn>2</mml:mn>
								</mml:mrow>
							</mml:msup>
						</mml:math>
						<label>(3)</label>
					</disp-formula>
					<p>where PV is the peroxide value, and k<sub>1</sub> and k<sub>2</sub> are the autocatalytic formation and decomposition rate constants, respectively. The orders and the rate constants of the reactions were determined according to <xref ref-type="disp-formula" rid="e4">Equations (4)</xref> and <xref ref-type="disp-formula" rid="e5">(5)</xref>. The kinetic model of autoxidation reaction is written as <xref ref-type="disp-formula" rid="e4">Equation (4)</xref>:</p>
					<disp-formula id="e4">
						<mml:math id="mml-4">
							<mml:mfrac>
								<mml:mrow>
									<mml:mi>d</mml:mi>
									<mml:mi>P</mml:mi>
									<mml:mi>V</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mi>d</mml:mi>
									<mml:mi>t</mml:mi>
								</mml:mrow>
							</mml:mfrac>
							<mml:mo>=</mml:mo>
							<mml:msub>
								<mml:mrow>
									<mml:mi>k</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mn>1</mml:mn>
								</mml:mrow>
							</mml:msub>
							<mml:msup>
								<mml:mrow>
									<mml:mi>P</mml:mi>
									<mml:mi>V</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mi>&#x3b1;</mml:mi>
								</mml:mrow>
							</mml:msup>
							<mml:mo>-</mml:mo>
							<mml:msub>
								<mml:mrow>
									<mml:mi>k</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mn>2</mml:mn>
								</mml:mrow>
							</mml:msub>
							<mml:msup>
								<mml:mrow>
									<mml:mi>P</mml:mi>
									<mml:mi>V</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mi>&#x3b2;</mml:mi>
								</mml:mrow>
							</mml:msup>
						</mml:math>
						<label>(4)</label>
					</disp-formula>
					<p>where &#x3b1; and &#x3b2; are the orders of the oxidation and decomposition reactions, respectively.</p>
					<p>The decomposition reaction rate of PV is equal to the production reaction rate of hexanal (HC) (<xref ref-type="disp-formula" rid="e5">Equation 5</xref>):</p>
					<disp-formula id="e5">
						<mml:math id="mml-5">
							<mml:msub>
								<mml:mrow>
									<mml:mfenced separators="|">
										<mml:mrow>
											<mml:mfrac>
												<mml:mrow>
													<mml:mo>-</mml:mo>
													<mml:mi>d</mml:mi>
													<mml:mi>P</mml:mi>
													<mml:mi>V</mml:mi>
												</mml:mrow>
												<mml:mrow>
													<mml:mi>d</mml:mi>
													<mml:mi>t</mml:mi>
												</mml:mrow>
											</mml:mfrac>
										</mml:mrow>
									</mml:mfenced>
								</mml:mrow>
								<mml:mrow>
									<mml:mi>d</mml:mi>
									<mml:mi>e</mml:mi>
									<mml:mi>c</mml:mi>
									<mml:mi>o</mml:mi>
									<mml:mi>m</mml:mi>
									<mml:mi>p</mml:mi>
									<mml:mi>o</mml:mi>
									<mml:mi>s</mml:mi>
									<mml:mi>i</mml:mi>
									<mml:mi>t</mml:mi>
									<mml:mi>i</mml:mi>
									<mml:mi>o</mml:mi>
									<mml:mi>n</mml:mi>
								</mml:mrow>
							</mml:msub>
							<mml:mo>=</mml:mo>
							<mml:mfrac>
								<mml:mrow>
									<mml:mi>d</mml:mi>
									<mml:mi>H</mml:mi>
									<mml:mi>C</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mi>d</mml:mi>
									<mml:mi>t</mml:mi>
								</mml:mrow>
							</mml:mfrac>
							<mml:mo>=</mml:mo>
							<mml:msub>
								<mml:mrow>
									<mml:mi>k</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mn>2</mml:mn>
								</mml:mrow>
							</mml:msub>
							<mml:msup>
								<mml:mrow>
									<mml:mi>P</mml:mi>
									<mml:mi>V</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mi>&#x3b2;</mml:mi>
								</mml:mrow>
							</mml:msup>
						</mml:math>
						<label>(5)</label>
					</disp-formula>
					<p>The increasing rates of hexanal were determined using the measured hexanal content during oxidation periods. <xref ref-type="disp-formula" rid="e5">Equation (5)</xref> was linearized and <xref ref-type="disp-formula" rid="e6">Equation (6)</xref> was obtained:</p>
					<disp-formula id="e6">
						<mml:math id="mml-6">
							<mml:mi>l</mml:mi>
							<mml:mi>n</mml:mi>
							<mml:mfenced separators="|">
								<mml:mrow>
									<mml:mfrac>
										<mml:mrow>
											<mml:mi>d</mml:mi>
											<mml:mi>H</mml:mi>
											<mml:mi>C</mml:mi>
										</mml:mrow>
										<mml:mrow>
											<mml:mi>d</mml:mi>
											<mml:mi>t</mml:mi>
										</mml:mrow>
									</mml:mfrac>
								</mml:mrow>
							</mml:mfenced>
							<mml:mo>=</mml:mo>
							<mml:mi>l</mml:mi>
							<mml:mi>n</mml:mi>
							<mml:mfenced separators="|">
								<mml:mrow>
									<mml:msub>
										<mml:mrow>
											<mml:mi>k</mml:mi>
										</mml:mrow>
										<mml:mrow>
											<mml:mn>2</mml:mn>
										</mml:mrow>
									</mml:msub>
								</mml:mrow>
							</mml:mfenced>
							<mml:mo>+</mml:mo>
							<mml:mi>&#x3b2;</mml:mi>
							<mml:mi>l</mml:mi>
							<mml:mi>n</mml:mi>
							<mml:mi>P</mml:mi>
							<mml:mi>V</mml:mi>
						</mml:math>
						<label>(6)</label>
					</disp-formula>
					<p>ln(dHC/dt) versus ln(PV) was plotted for each sample, and the slope and intercept of the lines were determined as &#x3b2; and ln(k<sub>2</sub>), respectively. </p>
					<p>Thereafter, <xref ref-type="disp-formula" rid="e4">Equation (4)</xref> was rewritten as <xref ref-type="disp-formula" rid="e7">Equation (7)</xref>
					</p>
					<disp-formula id="e7">
						<mml:math id="mml-7">
							<mml:mfrac>
								<mml:mrow>
									<mml:mi>d</mml:mi>
									<mml:mi>P</mml:mi>
									<mml:mi>V</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mi>d</mml:mi>
									<mml:mi>t</mml:mi>
								</mml:mrow>
							</mml:mfrac>
							<mml:mo>+</mml:mo>
							<mml:msub>
								<mml:mrow>
									<mml:mi>k</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mn>2</mml:mn>
								</mml:mrow>
							</mml:msub>
							<mml:msup>
								<mml:mrow>
									<mml:mi>P</mml:mi>
									<mml:mi>V</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mi>&#x3b2;</mml:mi>
								</mml:mrow>
							</mml:msup>
							<mml:mo>=</mml:mo>
							<mml:msub>
								<mml:mrow>
									<mml:mi>k</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mn>1</mml:mn>
								</mml:mrow>
							</mml:msub>
							<mml:msup>
								<mml:mrow>
									<mml:mi>P</mml:mi>
									<mml:mi>V</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mi>&#x3b1;</mml:mi>
								</mml:mrow>
							</mml:msup>
						</mml:math>
						<label>(7)</label>
					</disp-formula>
					<p>and then linearized, and <xref ref-type="disp-formula" rid="e8">Equation (8)</xref> was obtained:</p>
					<disp-formula id="e8">
						<mml:math id="mml-8">
							<mml:mi>l</mml:mi>
							<mml:mi>n</mml:mi>
							<mml:mfenced separators="|">
								<mml:mrow>
									<mml:mrow>
										<mml:mrow>
											<mml:mi>d</mml:mi>
											<mml:mi>P</mml:mi>
											<mml:mi>V</mml:mi>
										</mml:mrow>
										<mml:mo>/</mml:mo>
										<mml:mrow>
											<mml:mi>d</mml:mi>
											<mml:mi>t</mml:mi>
											<mml:mo>+</mml:mo>
											<mml:msub>
												<mml:mrow>
													<mml:mi>k</mml:mi>
												</mml:mrow>
												<mml:mrow>
													<mml:mn>2</mml:mn>
												</mml:mrow>
											</mml:msub>
											<mml:msup>
												<mml:mrow>
													<mml:mi>P</mml:mi>
													<mml:mi>V</mml:mi>
												</mml:mrow>
												<mml:mrow>
													<mml:mi>&#x3b2;</mml:mi>
												</mml:mrow>
											</mml:msup>
										</mml:mrow>
									</mml:mrow>
								</mml:mrow>
							</mml:mfenced>
							<mml:mo>=</mml:mo>
							<mml:mi>l</mml:mi>
							<mml:mi>n</mml:mi>
							<mml:mfenced separators="|">
								<mml:mrow>
									<mml:msub>
										<mml:mrow>
											<mml:mi>k</mml:mi>
										</mml:mrow>
										<mml:mrow>
											<mml:mn>1</mml:mn>
										</mml:mrow>
									</mml:msub>
								</mml:mrow>
							</mml:mfenced>
							<mml:mo>+</mml:mo>
							<mml:mi>&#x3b1;</mml:mi>
							<mml:mi>&#xa0;</mml:mi>
							<mml:mi>l</mml:mi>
							<mml:mi>n</mml:mi>
							<mml:mfenced separators="|">
								<mml:mrow>
									<mml:mi>P</mml:mi>
									<mml:mi>V</mml:mi>
								</mml:mrow>
							</mml:mfenced>
						</mml:math>
						<label>(8)</label>
					</disp-formula>
					<p>ln(dPV/dt + k<sub>2</sub>PV<sup>&#x3b2;</sup>) versus ln(PV) was plotted for each sample, and the slope and intercept of the lines were determined as &#x3b1; and ln(k1), respectively.</p>
					<p>Secondly, the temperature dependence of a reaction rate constant was described by the <xref ref-type="disp-formula" rid="e9">Arrhenius equation</xref>:</p>
					<disp-formula id="e9">
						<mml:math id="mml-9">
							<mml:mi>k</mml:mi>
							<mml:mo>=</mml:mo>
							<mml:msub>
								<mml:mrow>
									<mml:mi>k</mml:mi>
								</mml:mrow>
								<mml:mrow>
									<mml:mn>0</mml:mn>
								</mml:mrow>
							</mml:msub>
							<mml:mi>&#xa0;</mml:mi>
							<mml:mi>e</mml:mi>
							<mml:mi>x</mml:mi>
							<mml:mi>p</mml:mi>
							<mml:mfenced separators="|">
								<mml:mrow>
									<mml:mfrac>
										<mml:mrow>
											<mml:mo>-</mml:mo>
											<mml:msub>
												<mml:mrow>
													<mml:mi>E</mml:mi>
												</mml:mrow>
												<mml:mrow>
													<mml:mi>a</mml:mi>
												</mml:mrow>
											</mml:msub>
										</mml:mrow>
										<mml:mrow>
											<mml:mi>R</mml:mi>
											<mml:mi>T</mml:mi>
										</mml:mrow>
									</mml:mfrac>
								</mml:mrow>
							</mml:mfenced>
						</mml:math>
						<label>(9)</label>
					</disp-formula>
					<p>where k is the reaction rate constant, A is the frequency factor, E<sub>a</sub> is the activation energy, R is the universal gas constant (8.314 J/molK), and T is the absolute temperature (K).</p>
				</sec>
			</sec>
			<sec id="sec2.3">
				<label>2.3.</label>
				<title>Statistical analysis</title>
				<p>All values were reported as mean &#xb1; standard deviation. The data from three independent series of experiments were analyzed using the Minitab 14 program for two-way ANOVA. Duncan&#x2019;s multiple comparison test was applied to identify the significantly different groups (p &lt; 0.05). </p>
			</sec>
		</sec>
		<sec id="sec3" sec-type="results|discussion">
			<label>3.</label>
			<title>Results and discussion</title>
			<sec id="sec3.1">
				<label>3.1.</label>
				<title>PV</title>
				<p>PV represents the concentration of peroxides and hydroperoxides known as primary oxidation products formed in the initial stage of lipid oxidation. The PVs of samples with different AP concentrations kept under different temperatures are given in <xref ref-type="fig" rid="f1">Figure 1</xref>. Storage time and temperature and AP concentration significantly (p &#x2c2; 0.05) affected the PV of the samples. The PV of all samples continuously increased during storage and considerably decreased as their AP concentrations increased. <xref ref-type="bibr" rid="B15">Javidipour <italic>et al</italic>. (2015)</xref> reported that olive and cottonseed oils with added AP (400 mg/kg) showed lower PV than their counterparts without AP during accelerated oxidation. <xref ref-type="bibr" rid="B7">Ba&#x15f;t&#xfc;rk <italic>et al</italic>. (2017)</xref> noted that the addition of 400 mg/kg AP restricted the increase in peroxide value in both Fe<sup>2+</sup> and Cu<sup>2+</sup> added samples.</p>
				<fig id="f1">
					<label>Figure 1</label>
					<caption>
						<title>The effect of AP on peroxide values (meq O<sub>2</sub>/kg oil) for sunflower oil samples stored at 40, 60, 80 &#xb0;C for 28 days </title>
						<p>Data are expressed as mean&#xb1;standard deviation. Duncan&#x2019;s multiple range test procedure was used to identify significant differences (p &lt; 0.05). Different letters in each column show differences among storage days at the same concentration. All treatments were performed in three replicates.</p>
					</caption>
					<graphic id="gra-1" xlink:href="GYA-75-01-e536-gf1.png"/>
				</fig>
			</sec>
			<sec id="sec3.2">
				<label>3.2.</label>
				<title>Conjugated acids</title>
				<p>Conjugated diene (k<sub>232</sub>) and triene (k<sub>270</sub>) acids are characteristic intermediate products of lipid oxidation. The conjugated diene acid contents of the samples showed an increasing trend as the storage time and temperature increased (<xref ref-type="fig" rid="f2">Figure 2</xref>). The conjugated triene acid contents in the samples showed a lower value than their conjugated diene acid contents. This is due to the low linolenic acid content in sunflower oil. While the conjugated triene acid contents in the samples did not show a significant change during storage at 40 or 60 &#xb0;C, they showed an increasing trend at 80 &#xb0;C (<xref ref-type="fig" rid="f3">Figure 3</xref>). The results showed that AP did not significantly (p &#x2c3; 0.05) affect the formation of conjugated diene acids. However, the presence of AP significantly (p &#x2c2; 0.05) reduced the formation of triene acids. <xref ref-type="bibr" rid="B11">G&#xfc;nal and Turan (2017)</xref> noted that AP (200 mg/kg) effectively decreased the k<sub>232</sub> and k<sub>270</sub> values of sunflower oil during accelerated oxidation.</p>
				<fig id="f2">
					<label>Figure 2</label>
					<caption>
						<title>The effect of AP on conjugated diene acid contents in sunflower oil samples stored at 40, 60, 80 &#xb0;C for 28 days </title>
						<p>Data are expressed as mean&#xb1;standard deviation. Duncan&#x2019;s multiple range test procedure was used to identify significant differences (p &lt; 0.05). Different letters in each column show differences among storage days at the same concentration. All treatments were performed in three replicates.</p>
					</caption>
					<graphic id="gra-2" xlink:href="GYA-75-01-e536-gf2.png"/>
				</fig>
				<fig id="f3">
					<label>Figure 3</label>
					<caption>
						<title>The effect of AP on conjugated triene acid contents in sunflower oil samples stored at 40, 60, 80 &#xb0;C for 28 days </title>
						<p>Data are expressed as mean&#xb1;standard deviation. Duncan&#x2019;s multiple range test procedure was used to identify significant differences (p &lt; 0.05). Different letters in each column show differences among storage days at the same concentration. All treatments were performed in three replicates.</p>
					</caption>
					<graphic id="gra-3" xlink:href="GYA-75-01-e536-gf3.png"/>
				</fig>
			</sec>
			<sec id="sec3.3">
				<label>3.3.</label>
				<title>Hexanal</title>
				<p>Hexanal is a secondary metabolite formed during the oxidation of linoleic acid, which is the major fatty acid in sunflower oil. The changes in the hexanal contents in the sunflower oil samples during accelerated oxidation are shown in <xref ref-type="fig" rid="f4">Figure 4</xref>. The hexanal content in the samples started to rise at the beginning of storage and reached a maximum value after 28 days of accelerated oxidation. All AP levels significantly reduced the formation of hexanal during accelerated oxidation compared to the control (p &lt; 0.05). Samples with 400 mg/kg AP, stored at 40 and 60 &#xb0;C, had lower hexanal contents than those in the other samples. <xref ref-type="bibr" rid="B17">Kim <italic>et al</italic>. (2012)</xref> indicated that hexanal concentrations were the lowest in samples with 1.0 mM AP in riboflavin photosensitized oil in water emulsions. However, the addition of AP (250 &#x3bc;mol/L oil) had little influence on the hexanal formation in vegetable oil kept at 60 &#xb0;C for 16 days (<xref ref-type="bibr" rid="B24">van Ruth <italic>et al</italic>., 1999</xref>).</p>
				<fig id="f4">
					<label>Figure 4</label>
					<caption>
						<title>The effect of AP on hexanal contents in sunflower oil samples stored at 40, 60, 80 &#xb0;C for 28 days </title>
						<p>Data are expressed as mean&#xb1;standard deviation. Duncan&#x2019;s multiple range test procedure was used to identify significant differences (p &lt; 0.05). Different letters in each column show differences among storage days at the same concentration. All treatments were performed in three replicates.</p>
					</caption>
					<graphic id="gra-4" xlink:href="GYA-75-01-e536-gf4.png"/>
				</fig>
			</sec>
			<sec id="sec3.4">
				<label>3.4.</label>
				<title>Kinetic analysis</title>
				<p>Oxidation is a highly complex process because of the effects of various internal and external parameters. Oxidation is a mixed reaction which involves series and parallel reactions. The oxidative stability of an oil is generally evaluated based on parameters such as PV, AV, thiobarbituric acid reactive substances (TBARS), and recently, the hexanal content in the sample during the oxidation process. By kinetic analysis of the data, it is possible to evaluate the oxidation levels based on simplified data which represent the whole process, and is easier to understand. To evaluate the oxidation reactions, <xref ref-type="bibr" rid="B6">Ba&#x15f;t&#xfc;rk <italic>et al</italic>. (2007)</xref> investigated the kinetic analysis of oxidized oils based on the changes in primary and secondary oxidation products. In this study, the kinetic analysis was applied to PVs and hexanal contents obtained during accelerated oxidation in the sunflower oil samples with and without the AP addition. The orders and rate constants of the reactions for oxidation are given in <xref ref-type="table" rid="t1">Table 1</xref>. The results showed that the reaction rate constants regarding peroxide and hexanal formation increased depending on the reaction temperature. The AP-incorporated samples showed lower rate constants than their counterparts without AP. For hexanal formation, samples with 400 mg/kg AP stored at 40 and 60 &#xb0;C had the lowest reaction rate constant. <xref ref-type="bibr" rid="B10">Crapiste <italic>et al</italic>. (1999)</xref> indicated that in an autocatalyzed lipid oxidation the decomposition reactions followed second-order kinetics. We found that the reaction order for peroxide formation was generally lower than first-order which decreased with increasing reaction temperature. Decreasing the reaction order shows that the reaction rate becomes independent of the reactant concentration. In zero-order reactions, the reaction rate is controlled by the reaction rate constant. <xref ref-type="bibr" rid="B6">Ba&#x15f;t&#xfc;rk <italic>et al</italic>. (2007)</xref> reported that under accelerated oxidation the orders of formation and decomposition reactions in cottonseed, palm and soybean oils varied from first-order to zero-order with increasing temperature. Similar results were reported by <xref ref-type="bibr" rid="B20">Ozdemir <italic>et al</italic>. (2021)</xref>. Our results showed that the reaction orders for hexanal, as a secondary oxidation product, were found as first-order in all treatments. The hexanal formation in sunflower oil depended on lipid peroxide concentration as reactant. <xref ref-type="bibr" rid="B3">Bakkalba&#x15f;&#x131; <italic>et al</italic>. (2012)</xref> reported that the reaction order for hexanal formation in walnut was first-order. </p>
				<table-wrap id="t1">
					<label>Table 1</label>
					<caption>
						<title>Kinetic parameters of peroxide and hexanal formation in sunflower oil with ascorbyl palmitate </title>
					</caption>
					<table>
						<colgroup>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
							<col/>
						</colgroup>
						<thead>
							<tr>
								<th align="left"> </th>
								<th align="center" colspan="2">Peroxide Formation </th>
								<th align="center" colspan="2">Hexanal Formation </th>
								<th align="center" colspan="2">Peroxide Formation </th>
								<th align="center" colspan="2">Hexanal Formation </th>
							</tr>
							<tr>
								<th align="left">Control</th>
								<th align="center">k<sub>1</sub>
								</th>
								<th align="center">&#x3b1;</th>
								<th align="center">k<sub>2</sub>
								</th>
								<th align="center">&#x3b2;</th>
								<th align="center" colspan="2">Ea (kJ/molK) </th>
								<th align="center" colspan="2">Ea (kJ/molK) </th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">313.15 K</td>
								<td align="center">4.03&#xb1;0.04</td>
								<td align="center">0.3&#xb1;0.005</td>
								<td align="center">0.151&#xb1;0.001</td>
								<td align="center">1.10&#xb1;0.05</td>
								<td align="center" colspan="2" rowspan="3">28.71&#xb1;2.32 </td>
								<td align="center" colspan="2" rowspan="3">1.62&#xb1;0.08 </td>
							</tr>
							<tr>
								<td align="left">333.15 K</td>
								<td align="center">6.67&#xb1;0.08</td>
								<td align="center">0.2&#xb1;0.004</td>
								<td align="center">0.154&#xb1;0.001</td>
								<td align="center">0.98&#xb1;0.03</td>
							</tr>
							<tr>
								<td align="left">353.15 K</td>
								<td align="center">14.12&#xb1;0.20</td>
								<td align="center">0.2&#xb1;0.004</td>
								<td align="center">0.162&#xb1;0.002</td>
								<td align="center">1.08&#xb1;0.06</td>
							</tr>
							<tr>
								<td align="left">
									<bold>200 mg/kg</bold>
								</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
							</tr>
							<tr>
								<td align="left">313.15 K</td>
								<td align="center">1.68&#xb1;0.02</td>
								<td align="center">0.4&#xb1;0.004</td>
								<td align="center">0.090&#xb1;0.000</td>
								<td align="center">0.99&#xb1;0.02</td>
								<td align="center" colspan="2" rowspan="3">28.23&#xb1;2.89 </td>
								<td align="center" colspan="2" rowspan="3">6.26&#xb1;1.01 </td>
							</tr>
							<tr>
								<td align="left">333.15 K</td>
								<td align="center">5.26&#xb1;0.06</td>
								<td align="center">0.2&#xb1;0.003</td>
								<td align="center">0.093&#xb1;0.001</td>
								<td align="center">1.12&#xb1;0.03</td>
							</tr>
							<tr>
								<td align="left">353.15 K</td>
								<td align="center">5.61&#xb1;0.07</td>
								<td align="center">0.2&#xb1;0.004</td>
								<td align="center">0.118&#xb1;0.003</td>
								<td align="center">1.06&#xb1;0.04</td>
							</tr>
							<tr>
								<td align="left">
									<bold>400 mg/kg</bold>
								</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
							</tr>
							<tr>
								<td align="left">313.15 K</td>
								<td align="center">0.18&#xb1;0.004</td>
								<td align="center">0.9&#xb1;0.006</td>
								<td align="center">0.066&#xb1;0.000</td>
								<td align="center">1.10&#xb1;0.04</td>
								<td align="center" colspan="2" rowspan="3">89.40&#xb1;4.65 </td>
								<td align="center" colspan="2" rowspan="3">12.14&#xb1;0.23 </td>
							</tr>
							<tr>
								<td align="left">333.15 K</td>
								<td align="center">7.70&#xb1;0.08</td>
								<td align="center">0.1&#xb1;0.001</td>
								<td align="center">0.089&#xb1;0.001</td>
								<td align="center">1.02&#xb1;0.03</td>
							</tr>
							<tr>
								<td align="left">353.15 K</td>
								<td align="center">8.21&#xb1;0.10</td>
								<td align="center">0.2&#xb1;0.002</td>
								<td align="center">0.112&#xb1;0.002</td>
								<td align="center">1.07&#xb1;0.05</td>
							</tr>
							<tr>
								<td align="left">
									<bold>600 mg/kg</bold>
								</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
							</tr>
							<tr>
								<td align="left">313.15 K</td>
								<td align="center">0.14&#xb1;0.003</td>
								<td align="center">1.0&#xb1;0.005</td>
								<td align="center">0.082&#xb1;0.000</td>
								<td align="center">1.04&#xb1;0.05</td>
								<td align="center" colspan="2" rowspan="3">85.33&#xb1;1.02 </td>
								<td align="center" colspan="2" rowspan="3">3.12&#xb1;0.02 </td>
							</tr>
							<tr>
								<td align="left">333.15 K</td>
								<td align="center">2.98&#xb1;0.04</td>
								<td align="center">0.3&#xb1;0.003</td>
								<td align="center">0.091&#xb1;0.002</td>
								<td align="center">0.99&#xb1;0.04</td>
							</tr>
							<tr>
								<td align="left">353.15 K</td>
								<td align="center">5.47&#xb1;0.06</td>
								<td align="center">0.2&#xb1;0.002</td>
								<td align="center">0.093&#xb1;0.001</td>
								<td align="center">1.00&#xb1;0.03</td>
							</tr>
							<tr>
								<td align="left">
									<bold>800 mg/kg</bold>
								</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
							</tr>
							<tr>
								<td align="left">313.15 K</td>
								<td align="center">0.43&#xb1;0.005</td>
								<td align="center">0.7&#xb1;0.004</td>
								<td align="center">0.067&#xb1;0.000</td>
								<td align="center">1.02&#xb1;0.04</td>
								<td align="center" colspan="2" rowspan="3">61.48&#xb1;1.29 </td>
								<td align="center" colspan="2" rowspan="3">6.99&#xb1;0.65 </td>
							</tr>
							<tr>
								<td align="left">333.15 K</td>
								<td align="center">3.08&#xb1;0.03</td>
								<td align="center">0.3&#xb1;0.003</td>
								<td align="center">0.088&#xb1;0.000</td>
								<td align="center">0.99&#xb1;0.05</td>
							</tr>
							<tr>
								<td align="left">353.15 K</td>
								<td align="center">6.08&#xb1;0.07</td>
								<td align="center">0.2&#xb1;0.001</td>
								<td align="center">0.091&#xb1;0.002</td>
								<td align="center">0.96&#xb1;0.02</td>
							</tr>
							<tr>
								<td align="left">
									<bold>1000 mg/kg</bold>
								</td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
								<td align="left"> </td>
							</tr>
							<tr>
								<td align="left">313.15 K</td>
								<td align="center">1.92&#xb1;0.02</td>
								<td align="center">0.3&#xb1;0.003</td>
								<td align="center">0.073&#xb1;0.000</td>
								<td align="center">1.01&#xb1;0.02</td>
								<td align="center" colspan="2" rowspan="3">14.64&#xb1;0.80 </td>
								<td align="center" colspan="2" rowspan="3">7.78&#xb1;1.02 </td>
							</tr>
							<tr>
								<td align="left">333.15 K</td>
								<td align="center">2.97&#xb1;0.03</td>
								<td align="center">0.3&#xb1;0.002</td>
								<td align="center">0.088&#xb1;0.001</td>
								<td align="center">0.99&#xb1;0.08</td>
							</tr>
							<tr>
								<td align="left">353.15 K</td>
								<td align="center">3.61&#xb1;0.05</td>
								<td align="center">0.3&#xb1;0.002</td>
								<td align="center">0.103&#xb1;0.003</td>
								<td align="center">0.98&#xb1;0.04</td>
							</tr>
						</tbody>
					</table>
					<table-wrap-foot>
						<fn id="TFN1">
							<p>Data are expressed as mean&#xb1;standard deviation. k<sub>1</sub>: peroxide formation rate constant, &#x3b1;: reaction order for peroxide formation, k<sub>2</sub>: hexanal formation rate constant, &#x3b2;: reaction order for hexanal formation, Ea: activation energy. All treatments were performed in three replicates.</p>
						</fn>
					</table-wrap-foot>
				</table-wrap>
				<p>E<sub>a</sub> is a temperature dependent parameter, defined as the energy barrier which must be overcome for a reaction to occur. The E<sub>a</sub> for both peroxide and hexanal formation summarized the whole process in a single data which led to an easier understanding of the changes in peroxide and hexanal contents during the oxidation process. To evaluate the effect of AP on changes in peroxide and hexanal concentrations during the accelerated oxidation, the related E<sub>a</sub> values were calculated. The activation energy required for peroxide and hexanal formation at different AP concentrations ranged from 14.64 to 89.40 and 1.62 to 12.14 kJ/molK, respectively. The E<sub>a</sub> for peroxide formation was higher than that of hexanal formation. Higher E<sub>a</sub> for peroxide formation showed that there was a high energy requirement at the first stage of oxidation. After overcoming this initial energy barrier which resulted in the formation of primary oxidation products (i.e. peroxides), the formation of secondary oxidation products such as hexanal could have happened with less energy requirements. The highest activation energies for peroxide and hexanal formation were 89.40 and 12.14 kJ/molK in samples with 400 mg/kg AP, respectively. By taking into account the E<sub>a</sub> values, we observed that the 400 mg/kg AP showed the highest energy barrier to be overcome for peroxide and hexanal formation. <xref ref-type="bibr" rid="B13">Ixtaina <italic>et al</italic>. (2012)</xref> reported that AP addition increased the E<sub>a</sub> of chia oil thermal oxidation from 71.9 to 87.5 kJ/molK. <xref ref-type="bibr" rid="B3">Bakkalba&#x15f;&#x131; <italic>et al</italic>. (2012)</xref> noted that E<sub>a</sub> for hexanal formation in oil from wrapped walnut samples with different oxygen permeabilities varied between 54.79 and 146.78 kJ/molK.</p>
			</sec>
		</sec>
		<sec id="sec4" sec-type="conclusions">
			<label>4.</label>
			<title>Conclusions</title>
			<p>Ascorbyl palmitate is a lipophilic derivative of ascorbic acid, which is widely used in oil and emulsions as an antioxidant. In this study the effects of AP concentration and temperature on oil oxidation were investigated. The reaction rate constants for both peroxide and hexanal formation rose with increasing temperature. Particularly, the addition of different levels of the AP reduced the reaction rate constants of peroxides. Furthermore, according to E<sub>a</sub> values for peroxide and hexanal formation, increasing the AP concentration increased the oxidative stability of the sunflower oil. While the reaction order for peroxide formation was generally lower than first-order and decreased with increasing reaction temperature, hexanal showed the first reaction order in all applied temperatures. The addition of 400 mg/kg AP increased the E<sub>a</sub> to the highest level for peroxide and hexanal formation. It can be concluded that 400 mg/kg AP was the most effective concentration to increase the oxidative stability of sunflower oil under accelerated oxidation based on PV and hexanal contents.</p>
		</sec>
	</body>
	<back>
		<ack>
			<label>5.</label>
			<title>Acknowledgments</title>
			<p>This work was supported by Van Y&#xfc;z&#xfc;nc&#xfc; Y&#x131;l University Research Found (Project no: 2014-FBE-YL002).</p>
		</ack>
		<sec sec-type="transparency-statement" id="sec-01">
			<label>6.</label>
			<title>Declaration of competing interest</title>
			<p>The authors of this article declare that they have no financial, professional or personal conflicts of interest that could have inappropriately influenced this work.</p>
		</sec>
		<ref-list>
			<label>7.</label>
			<title>References</title>
			<ref id="B1">
				<mixed-citation publication-type="book">
					<person-group person-group-type="author">
						<collab>AOCS</collab>
					</person-group>
					<year>1998</year>
					<source>Official Methods and Recommended Practices of the American Oil Chemists&#x2019; Society</source>
					<publisher-loc>Champaign</publisher-loc>
					<publisher-name>American Oil Chemists&#x2019; Society Press</publisher-name>
					<gov>Cd 8&#x2013;53</gov>
				</mixed-citation>
			</ref>
			<ref id="B2">
				<mixed-citation publication-type="book">
					<person-group person-group-type="author">
						<collab>AOCS</collab>
					</person-group>
					<year>2003</year>
					<source>Official Methods and Recommended Practices of the American Oil Chemists&#x2019; Society</source>
					<publisher-loc>Champaign</publisher-loc>
					<publisher-name>American Oil Chemists&#x2019; Society Press</publisher-name>
					<gov>Cd 5-91</gov>
				</mixed-citation>
			</ref>
			<ref id="B3">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Bakkalba&#x15f;&#x131;</surname>
							<given-names>E</given-names>
						</string-name>
						<string-name>
							<surname>Y&#x131;lmaz</surname>
							<given-names>&#xd6;M</given-names>
						</string-name>
						<string-name>
							<surname>Javidipour</surname>
							<given-names>I</given-names>
						</string-name>
						<string-name>
							<surname>Art&#x131;k</surname>
							<given-names>N</given-names>
						</string-name>
					</person-group>
					<year>2012</year>
					<article-title>Effects of packaging materials, storage conditions and variety on oxidative stability of shelled walnuts</article-title>
					<source>LWT&#x2013;Food Sci. Technol.</source>
					<volume>46</volume>
					<fpage>203</fpage>
					<lpage>209</lpage>
					<pub-id pub-id-type="doi">10.1016/j.lwt.2011.10.006</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B4">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Bakkalba&#x15f;&#x131;</surname>
							<given-names>E</given-names>
						</string-name>
					</person-group>
					<year>2019</year>
					<article-title>Oxidative stability of enriched walnut oil with phenolic extracts from walnut press-cake under accelerated oxidation conditions and the effect of ultrasound treatment</article-title>
					<source>J. Food Meas. Charact.</source>
					<volume>13</volume>
					<fpage>43</fpage>
					<lpage>50</lpage>
					<pub-id pub-id-type="doi">10.1007/s11694-018-9917-y</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B5">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Bartee</surname>
							<given-names>SD</given-names>
						</string-name>
						<string-name>
							<surname>Kim</surname>
							<given-names>HJ</given-names>
						</string-name>
						<string-name>
							<surname>Min</surname>
							<given-names>DB</given-names>
						</string-name>
					</person-group>
					<year>2007</year>
					<article-title>Effects of antioxidants on the oxidative stability of oils containing arachidonic, docosapentaenoic and docosahexaenoic acids</article-title>
					<source>J. Am. Oil Chem. Soc.</source>
					<volume>84</volume>
					<fpage>363</fpage>
					<lpage>368</lpage>
					<pub-id pub-id-type="doi">10.1007/s11746-007-1046-4</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B6">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Ba&#x15f;t&#xfc;rk</surname>
							<given-names>A</given-names>
						</string-name>
						<string-name>
							<surname>Javidipour</surname>
							<given-names>I</given-names>
						</string-name>
						<string-name>
							<surname>Boyac&#x131;</surname>
							<given-names>IH</given-names>
						</string-name>
					</person-group>
					<year>2007</year>
					<article-title>Oxidative stability of natural and chemically interesterified cottonseed, palm and soybean oils</article-title>
					<source>J. Food Lipids</source>
					<volume>14</volume>
					<fpage>170</fpage>
					<lpage>188</lpage>
					<pub-id pub-id-type="doi">10.1111/j.1745-4522.2007.00078.x</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B7">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Ba&#x15f;t&#xfc;rk</surname>
							<given-names>A</given-names>
						</string-name>
						<string-name>
							<surname>Boran</surname>
							<given-names>G</given-names>
						</string-name>
						<string-name>
							<surname>Javidipour</surname>
							<given-names>I</given-names>
						</string-name>
					</person-group>
					<year>2017</year>
					<article-title>Effects of ascorbyl palmitate and metal ions on oxidation of sunflower oil under accelerated oxidation conditions</article-title>
					<source>J. Anim. Plant Sci.</source>
					<volume>27</volume>
					<fpage>2014</fpage>
					<lpage>2024</lpage>
				</mixed-citation>
			</ref>
			<ref id="B8">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Ba&#x15f;t&#xfc;rk</surname>
							<given-names>A</given-names>
						</string-name>
						<string-name>
							<surname>Ceylan</surname>
							<given-names>MM</given-names>
						</string-name>
						<string-name>
							<surname>&#xc7;avu&#x15f;</surname>
							<given-names>M</given-names>
						</string-name>
						<string-name>
							<surname>Boran</surname>
							<given-names>G</given-names>
						</string-name>
						<string-name>
							<surname>Javidipour</surname>
							<given-names>I</given-names>
						</string-name>
					</person-group>
					<year>2018</year>
					<article-title>Effects of some herbal extracts on oxidative stability of corn oil under accelerated oxidation conditions in comparison with some commonly used antioxidants</article-title>
					<source>LWT&#x2013;Food Sci. Technol.</source>
					<volume>89</volume>
					<fpage>358</fpage>
					<lpage>364</lpage>
					<pub-id pub-id-type="doi">10.1016/j.lwt.2017.11.005</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B9">
				<mixed-citation publication-type="book">
					<person-group person-group-type="author">
						<string-name>
							<surname>Coppen</surname>
							<given-names>P</given-names>
						</string-name>
					</person-group>
					<year>1994</year>
					<chapter-title>The use of antioxidants</chapter-title>
					<person-group person-group-type="editor">
						<string-name>
							<surname>Allen</surname>
							<given-names>J. C.</given-names>
						</string-name>
						<string-name>
							<surname>Hamilton</surname>
							<given-names>R.J.</given-names>
						</string-name>
					</person-group>
					<source>Rancidity in foods</source>
					<edition>3</edition>
					<publisher-name>Blackie Academic Press</publisher-name>
					<publisher-loc>London</publisher-loc>
					<fpage>84</fpage>
					<lpage>103</lpage>
				</mixed-citation>
			</ref>
			<ref id="B10">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Crapiste</surname>
							<given-names>GH</given-names>
						</string-name>
						<string-name>
							<surname>Brevedan</surname>
							<given-names>MIV</given-names>
						</string-name>
						<string-name>
							<surname>Carelli</surname>
							<given-names>AA</given-names>
						</string-name>
					</person-group>
					<year>1999</year>
					<article-title>Oxidation of sunflower oil during storage</article-title>
					<source>J. Am. Oil Chem. Soc.</source>
					<volume>76</volume>
					<fpage>1437</fpage>
					<lpage>1443</lpage>
					<pub-id pub-id-type="doi">10.1007/s11746-999-0181-5</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B11">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>G&#xfc;nal</surname>
							<given-names>D</given-names>
						</string-name>
						<string-name>
							<surname>Turan</surname>
							<given-names>S</given-names>
						</string-name>
					</person-group>
					<year>2017</year>
					<article-title>Effects of olive wastewater and pomace extracts, lecithin, and ascorbyl palmitate on the oxidative stability of refined sunflower oil</article-title>
					<source>J. Food Process. Preserv.</source>
					<volume>42</volume>
					<fpage>1</fpage>
					<lpage>12</lpage>
					<pub-id pub-id-type="doi">10.1111/jfpp.13705</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B12">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Iso</surname>
							<given-names>H</given-names>
						</string-name>
						<string-name>
							<surname>Sato</surname>
							<given-names>S</given-names>
						</string-name>
						<string-name>
							<surname>Umemura</surname>
							<given-names>U</given-names>
						</string-name>
						<string-name>
							<surname>Kudo</surname>
							<given-names>M</given-names>
						</string-name>
						<string-name>
							<surname>Koike</surname>
							<given-names>K</given-names>
						</string-name>
						<string-name>
							<surname>Kitamura</surname>
							<given-names>A</given-names>
						</string-name>
						<string-name>
							<surname>Imano</surname>
							<given-names>H</given-names>
						</string-name>
						<string-name>
							<surname>Okamura</surname>
							<given-names>T</given-names>
						</string-name>
						<string-name>
							<surname>Naito</surname>
							<given-names>Y</given-names>
						</string-name>
						<string-name>
							<surname>Shimamoto</surname>
							<given-names>T</given-names>
						</string-name>
					</person-group>
					<year>2002</year>
					<article-title>Linoleic Acid, Other Fatty Acids, and the Risk of Stroke</article-title>
					<source>Stroke</source>
					<volume>33</volume>
					<fpage>2086</fpage>
					<lpage>2093</lpage>
					<pub-id pub-id-type="doi">10.1161/01.str.0000023890.25066.50</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B13">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Ixtaina</surname>
							<given-names>VY</given-names>
						</string-name>
						<string-name>
							<surname>Nolasco</surname>
							<given-names>SM</given-names>
						</string-name>
						<string-name>
							<surname>Tom&#xe1;s</surname>
							<given-names>MC</given-names>
						</string-name>
					</person-group>
					<year>2012</year>
					<article-title>Oxidative Stability of Chia (Salvia hispanica L.) Seed Oil: Effect of Antioxidants and Storage Conditions</article-title>
					<source>J. Am. Oil Chem. Soc.</source>
					<volume>89</volume>
					<fpage>1077</fpage>
					<lpage>1090</lpage>
					<pub-id pub-id-type="doi">10.1007/s11746-011-1990-x</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B14">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Javidipour</surname>
							<given-names>I</given-names>
						</string-name>
						<string-name>
							<surname>Qian</surname>
							<given-names>M.C.</given-names>
						</string-name>
					</person-group>
					<year>2008</year>
					<article-title>Volatile component change in whey protein concentrate during storage investigated by headspace solid-phase microextraction gas chromatography</article-title>
					<source>Dairy Sci. Technol.</source>
					<volume>88</volume>
					<fpage>95</fpage>
					<lpage>104</lpage>
					<pub-id pub-id-type="doi">10.1051/dst:2007010</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B15">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Javidipour</surname>
							<given-names>I</given-names>
						</string-name>
						<string-name>
							<surname>T&#xfc;fenk</surname>
							<given-names>R</given-names>
						</string-name>
						<string-name>
							<surname>Ba&#x15f;t&#xfc;rk</surname>
							<given-names>A</given-names>
						</string-name>
					</person-group>
					<year>2015</year>
					<article-title>Effect of ascorbyl palmitate on oxidative stability of chemically interesterified cottonseed and olive oils</article-title>
					<source>J. Food Sci. Technol.</source>
					<volume>52</volume>
					<fpage>876</fpage>
					<lpage>884</lpage>
					<pub-id pub-id-type="doi">10.1007/s13197-013-1086-8</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B16">
				<mixed-citation publication-type="book">
					<person-group person-group-type="author">
						<string-name>
							<surname>Kamal-eldin</surname>
							<given-names>A</given-names>
						</string-name>
						<string-name>
							<surname>Yan&#x131;shlieva</surname>
							<given-names>N</given-names>
						</string-name>
					</person-group>
					<year>2005</year>
					<chapter-title>Kinetic analysis of lipidoxidation data</chapter-title>
					<source>Analysis of Lipid Oxidation</source>
					<publisher-loc>Champaign, IL, U.S.A.</publisher-loc>
					<fpage>234</fpage>
					<lpage>263</lpage>
				</mixed-citation>
			</ref>
			<ref id="B17">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Kim</surname>
							<given-names>TS</given-names>
						</string-name>
						<string-name>
							<surname>Decker</surname>
							<given-names>EA</given-names>
						</string-name>
						<string-name>
							<surname>Lee</surname>
							<given-names>J</given-names>
						</string-name>
					</person-group>
					<year>2012</year>
					<article-title>Antioxidant capacities of a-tocopherol, trolox, ascorbic acid, and ascorbyl palmitate in riboflavin photosensitized oil-in-water emulsions</article-title>
					<source>Food Chem.</source>
					<volume>133</volume>
					<fpage>68</fpage>
					<lpage>75</lpage>
					<pub-id pub-id-type="doi">10.1016/j.foodchem.2011.12.069</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B18">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Lee</surname>
							<given-names>KH</given-names>
						</string-name>
						<string-name>
							<surname>Jung</surname>
							<given-names>MY</given-names>
						</string-name>
						<string-name>
							<surname>Kim</surname>
							<given-names>SY</given-names>
						</string-name>
					</person-group>
					<year>1997</year>
					<article-title>Quenching mechanisms and kinetics of ascorbyl palmitate for the reduction of the photo-sensitized oxidation of oils</article-title>
					<source>J. Am. Oil Chem. Soc.</source>
					<volume>74</volume>
					<fpage>1053</fpage>
					<lpage>1057</lpage>
					<pub-id pub-id-type="doi">10.1007/s11746-997-0024-1</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B19">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Mart&#xed;nez</surname>
							<given-names>ML</given-names>
						</string-name>
						<string-name>
							<surname>Penci</surname>
							<given-names>MC</given-names>
						</string-name>
						<string-name>
							<surname>Ixtaina</surname>
							<given-names>V</given-names>
						</string-name>
						<string-name>
							<surname>Ribotto</surname>
							<given-names>PD</given-names>
						</string-name>
						<string-name>
							<surname>Maestri</surname>
							<given-names>D</given-names>
						</string-name>
					</person-group>
					<year>2013</year>
					<article-title>Effect of natural and synthetic antioxidants on the oxidative stability of walnut oil under different storage conditions</article-title>
					<source>LWT&#x2013;Food Sci. Technol.</source>
					<volume>51</volume>
					<fpage>44</fpage>
					<lpage>50</lpage>
					<pub-id pub-id-type="doi">10.1016/j.lwt.2012.10.021</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B20">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Ozdemir</surname>
							<given-names>H</given-names>
						</string-name>
						<string-name>
							<surname>Bakkalba&#x15f;&#x131;</surname>
							<given-names>E</given-names>
						</string-name>
						<string-name>
							<surname>Javidipour</surname>
							<given-names>I</given-names>
						</string-name>
					</person-group>
					<year>2021</year>
					<article-title>Effect of seed roasting on oxidative stability and antioxidant content of hemp seed oil</article-title>
					<source>J. Food Sci. Technol.</source>
					<volume>58</volume>
					<fpage>2606</fpage>
					<lpage>2616</lpage>
					<pub-id pub-id-type="doi">10.1007/s13197-020-04767-x</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B21">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Ozilgen</surname>
							<given-names>S</given-names>
						</string-name>
						<string-name>
							<surname>Ozilgen</surname>
							<given-names>M</given-names>
						</string-name>
					</person-group>
					<year>1990</year>
					<article-title>Kinetic model of lipid oxidation in foods</article-title>
					<source>J. Food Sci.</source>
					<volume>55</volume>
					<fpage>498</fpage>
					<lpage>498</lpage>
					<pub-id pub-id-type="doi">10.1111/j.1365-2621.1990.tb06795.x</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B22">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Perricone</surname>
							<given-names>N</given-names>
						</string-name>
						<string-name>
							<surname>Nagy</surname>
							<given-names>K</given-names>
						</string-name>
						<string-name>
							<surname>Horv&#xe1;th</surname>
							<given-names>F</given-names>
						</string-name>
						<string-name>
							<surname>Dajk&#xf3;</surname>
							<given-names>G</given-names>
						</string-name>
						<string-name>
							<surname>Uray</surname>
							<given-names>I</given-names>
						</string-name>
						<string-name>
							<surname>Nagy</surname>
							<given-names>IZ</given-names>
						</string-name>
					</person-group>
					<year>1999</year>
					<article-title>Alpha lipoic acid (ALA) protects proteins against the hydroxyl free radical-induced alterations: rationale for its geriatric topical application</article-title>
					<source>Arch. Gerontol. Geriatr.</source>
					<volume>29</volume>
					<fpage>45</fpage>
					<lpage>56</lpage>
					<pub-id pub-id-type="doi">10.1016/S0167-4943(99)00022-9</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B23">
				<mixed-citation publication-type="book">
					<person-group person-group-type="author">
						<string-name>
							<surname>Shahidi</surname>
							<given-names>F</given-names>
						</string-name>
						<string-name>
							<surname>Wanasundara</surname>
							<given-names>UN</given-names>
						</string-name>
					</person-group>
					<year>2002</year>
					<chapter-title>Methods for measuring oxidation rancidity in fats and oils</chapter-title>
					<person-group person-group-type="editor">
						<string-name>
							<surname>Akoh</surname>
							<given-names>CC</given-names>
						</string-name>
						<string-name>
							<surname>Min</surname>
							<given-names>DB</given-names>
						</string-name>
					</person-group>
					<source>Food Lipids: Chemistry, Nutrition and Biotechnology</source>
					<edition>2</edition>
					<publisher-name>Marcel Dekker Inc.</publisher-name>
					<publisher-loc>New York, U.S.A.</publisher-loc>
					<fpage>465</fpage>
					<lpage>487</lpage>
					<pub-id pub-id-type="doi">10.1201/9780203908815.ch14</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B24">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>van Ruth</surname>
							<given-names>SM</given-names>
						</string-name>
						<string-name>
							<surname>Roozen</surname>
							<given-names>JP</given-names>
						</string-name>
						<string-name>
							<surname>Posthumus</surname>
							<given-names>MA</given-names>
						</string-name>
						<string-name>
							<surname>Jansen</surname>
							<given-names>FJHM</given-names>
						</string-name>
					</person-group>
					<year>1999</year>
					<article-title>Influence of ascorbic acid and ascorbyl palmitate on the aroma composition of an oxidized vegetable oil and its emulsion</article-title>
					<source>J. Am. Oil Chem. Soc.</source>
					<volume>76</volume>
					<fpage>1375</fpage>
					<lpage>1381</lpage>
					<pub-id pub-id-type="doi">10.1007/s11746-999-0153-9</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B25">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>Yanishlieva</surname>
							<given-names>NV</given-names>
						</string-name>
						<string-name>
							<surname>Marinova</surname>
							<given-names>EM</given-names>
						</string-name>
					</person-group>
					<year>2001</year>
					<article-title>Stabilisation of edible oils with natural antioxidants</article-title>
					<source>Eur J. Lipid Sci. Technol.</source>
					<volume>103</volume>
					<fpage>752</fpage>
					<lpage>767</lpage>
					<pub-id pub-id-type="doi">10.1002/1438-9312(200111)103:11&lt;752::AID-EJLT752&gt;3.0.CO;2-0</pub-id>
				</mixed-citation>
			</ref>
			<ref id="B26">
				<mixed-citation publication-type="journal">
					<person-group person-group-type="author">
						<string-name>
							<surname>&#x160;piclin</surname>
							<given-names>P</given-names>
						</string-name>
						<string-name>
							<surname>Ga&#x161;perlin</surname>
							<given-names>M</given-names>
						</string-name>
						<string-name>
							<surname>Kmetec</surname>
							<given-names>V</given-names>
						</string-name>
					</person-group>
					<year>2001</year>
					<article-title>Stability of ascorbyl palmitate in topical microemulsions</article-title>
					<source>Int. J. Pharm.</source>
					<volume>222</volume>
					<fpage>271</fpage>
					<lpage>279</lpage>
					<pub-id pub-id-type="doi">10.1016/S0378-5173(01)00715-3</pub-id>
				</mixed-citation>
			</ref>
		</ref-list>
	</back>
</article>