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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Physiol.</journal-id>
<journal-title>Frontiers in Physiology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Physiol.</abbrev-journal-title>
<issn pub-type="epub">1664-042X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fphys.2017.00072</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physiology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Sex and Exercise Intensity Do Not Influence Oxygen Uptake Kinetics in Submaximal Swimming</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Reis</surname> <given-names>Joana F.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/328384/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Millet</surname> <given-names>Gregoire P.</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/56036/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Bruno</surname> <given-names>Paula M.</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/411411/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Vleck</surname> <given-names>Veronica</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/411405/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Alves</surname> <given-names>Francisco B.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/320340/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Laboratory of Physiology and Biochemistry of Exercise, Faculty of Human Kinetics, University of Lisbon</institution> <country>Lisbon, Portugal</country></aff>
<aff id="aff2"><sup>2</sup><institution>Ciper, Faculty of Human Kinetics, University of Lisbon</institution> <country>Lisbon, Portugal</country></aff>
<aff id="aff3"><sup>3</sup><institution>Universidade Europeia</institution> <country>Lisbon, Portugal</country></aff>
<aff id="aff4"><sup>4</sup><institution>Department of Physiology, Faculty of Biology and Medicine, Institute of Sport Sciences, University of Lausanne</institution> <country>Lausanne, Switzerland</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Brian Keith McFarlin, University of North Texas, USA</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Nicola Luigi Bragazzi, University of Genoa, Italy; Shane A. Phillips, University of Illinois at Chicago, USA; Christopher Hearon, University of Texas Southwestern Medical Center, USA</p></fn>
<fn fn-type="corresp" id="fn001"><p>&#x0002A;Correspondence: Francisco B. Alves <email>falves&#x00040;fmh.ulisboa.pt</email></p></fn>
<fn fn-type="other" id="fn002"><p>This article was submitted to Exercise Physiology, a section of the journal Frontiers in Physiology</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>10</day>
<month>02</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="collection">
<year>2017</year>
</pub-date>
<volume>8</volume>
<elocation-id>72</elocation-id>
<history>
<date date-type="received">
<day>04</day>
<month>11</month>
<year>2016</year>
</date>
<date date-type="accepted">
<day>26</day>
<month>01</month>
<year>2017</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2017 Reis, Millet, Bruno, Vleck and Alves.</copyright-statement>
<copyright-year>2017</copyright-year>
<copyright-holder>Reis, Millet, Bruno, Vleck and Alves</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract>
<p>The aim of this study was to compare the oxygen uptake (<inline-formula><mml:math id="M1"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>) kinetics in front crawl between male and female swimmers at moderate and heavy intensity. We hypothesized that the time constant for the primary phase <inline-formula><mml:math id="M2"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics was faster in men than in women, for both intensities. Nineteen well trained swimmers (8 females mean &#x000B1; SD; age 17.9 &#x000B1; 3.5 years; mass 55.2 &#x000B1; 3.6 kg; height 1.66 &#x000B1; 0.05 m and 11 male 21.9 &#x000B1; 2.8 years; 78.2 &#x000B1; 11.1 kg; 1.81 &#x000B1; 0.08 m) performed a discontinuous maximal incremental test and two 600-m square wave transitions for both moderate and heavy intensities to determine the <inline-formula><mml:math id="M3"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics parameters using mono- and bi-exponential models, respectively. All the tests involved breath-by-breath analysis of front crawl swimming using a swimming snorkel. The maximal oxygen uptake <inline-formula><mml:math id="M4"><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mtext>max</mml:mtext></mml:mrow></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was higher in men than in women [4,492 &#x000B1; 585 ml&#x000B7;min<sup>&#x02212;1</sup> and 57.7 &#x000B1; 4.4 ml&#x000B7;kg<sup>&#x02212;1</sup>&#x000B7;min<sup>&#x02212;1</sup> vs. 2,752.4 &#x000B1; 187.9 ml&#x000B7;min<sup>&#x02212;1</sup> (<italic>p</italic> &#x02264; 0.001) and 50.0 &#x000B1; 5.7 ml&#x000B7;kg<sup>&#x02212;1</sup>&#x000B7;min<sup>&#x02212;1</sup>(<italic>p</italic> &#x0003D; 0.007), respectively]. Similarly, the absolute amplitude of the primary component was higher in men for both intensities (moderate: 1,736 &#x000B1; 164 vs. 1,121 &#x000B1; 149 ml&#x000B7;min<sup>&#x02212;1</sup>; heavy: 2,948 &#x000B1; 227 vs. 1,927 &#x000B1; 243 ml&#x000B7;min<sup>&#x02212;1</sup>, <italic>p</italic> &#x02264; 0.001, for males and females, respectively). However, the time constant of the primary component (&#x003C4;<sub>p</sub>) was not influenced by sex (<italic>p</italic> &#x0003D; 0.527) or swimming intensity (<italic>p</italic> &#x0003D; 0.804) (moderate: 15.1 &#x000B1; 5.6 vs. 14.4 &#x000B1; 5.1 s; heavy: 13.5 &#x000B1; 3.3 vs. 16.0 &#x000B1; 4.5 s, for females and males, respectively). The slow component in the heavy domain was not significantly different between female and male swimmers (3.2 &#x000B1; 2.4 vs. 3.8 &#x000B1; 1.0 ml&#x000B7;kg<sup>&#x02212;1</sup>&#x000B7;min<sup>&#x02212;1</sup>, <italic>p</italic> &#x0003D; 0.476). Overall, only the absolute amplitude of the primary component was higher in men, while the other <inline-formula><mml:math id="M5"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics parameters were similar between female and male swimmers at both moderate and heavy intensities. The mechanisms underlying these similarities remain unclear.</p>
</abstract>
<kwd-group>
<kwd>trained swimmers</kwd>
<kwd>time constant</kwd>
<kwd>slow component</kwd>
<kwd>oxygen consumption</kwd>
<kwd>female swimmers</kwd>
</kwd-group>
<contract-num rid="cn001">SFRH/BPD/84315/2012</contract-num>
<contract-sponsor id="cn001">Funda&#x000E7;&#x000E3;o para a Ci&#x000EA;ncia e a Tecnologia<named-content content-type="fundref-id">10.13039/501100001871</named-content></contract-sponsor>
<counts>
<fig-count count="2"/>
<table-count count="2"/>
<equation-count count="1"/>
<ref-count count="39"/>
<page-count count="8"/>
<word-count count="6461"/>
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</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>In cyclic sports, such as swimming, running, or rowing, after the start of the race, the changes in metabolic rate are rather large and fast, forcing the cardiorespiratory system to respond promptly and precisely to prevent large variations of arterial blood gas and acid-base status (Burnley and Jones, <xref ref-type="bibr" rid="B4">2007</xref>). The pulmonary oxygen uptake (<inline-formula><mml:math id="M6"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>) kinetics is considered to be a useful, non-invasive measure of the integrated capacity of the organism to transport and utilize O<sub>2</sub> in order to support the increased rate of muscular energy turnover. It provides an important assessment of the physiological response of the athlete (Jones and Carter, <xref ref-type="bibr" rid="B15">2000</xref>; Burnley and Jones, <xref ref-type="bibr" rid="B4">2007</xref>). When constant-load exercise is performed at moderate intensity, i.e., below the first ventilatory threshold (VT), after the cardiodynamic phase, the <inline-formula><mml:math id="M7"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> rises mono-exponentially until a steady state is achieved. In heavy intensity domain, i.e., above the VT, the attainment of a steady state in <inline-formula><mml:math id="M8"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> is delayed by a supplemental rise in <inline-formula><mml:math id="M9"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> or &#x0201C;slow component&#x0201D; (Barstow and Mol&#x000E9;, <xref ref-type="bibr" rid="B1">1991</xref>; Borrani et al., <xref ref-type="bibr" rid="B3">2001</xref>; Carter et al., <xref ref-type="bibr" rid="B6">2002</xref>). The time constant of the <inline-formula><mml:math id="M10"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> response (&#x003C4;<sub>p</sub>; time for completion of 63% of the response) within the transition between two levels of energy requirement is typically around 20&#x02013;35 s for young healthy subjects (Borrani et al., <xref ref-type="bibr" rid="B3">2001</xref>; Carter et al., <xref ref-type="bibr" rid="B6">2002</xref>; Poole and Jones, <xref ref-type="bibr" rid="B26">2005</xref>).</p>
<p>Numerous studies have described the <inline-formula><mml:math id="M11"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics parameters within constant load cycling or running exercise (Whipp and Wasserman, <xref ref-type="bibr" rid="B38">1972</xref>; Carter et al., <xref ref-type="bibr" rid="B5">2000</xref>, <xref ref-type="bibr" rid="B6">2002</xref>; Borrani et al., <xref ref-type="bibr" rid="B3">2001</xref>; Murias et al., <xref ref-type="bibr" rid="B23">2014</xref>), however, <inline-formula><mml:math id="M12"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics in swimming is considerably less studied (Rodriguez et al., <xref ref-type="bibr" rid="B30">2003</xref>; Filho et al., <xref ref-type="bibr" rid="B12">2012</xref>; Reis et al., <xref ref-type="bibr" rid="B27">2012a</xref>,<xref ref-type="bibr" rid="B28">b</xref>; Sousa et al., <xref ref-type="bibr" rid="B34">2015</xref>). In well-trained swimmers, the values reported for &#x003C4;<sub>p</sub> in heavy and severe intensities are similar to those reported in running and rowing (Reis et al., <xref ref-type="bibr" rid="B27">2012a</xref>,<xref ref-type="bibr" rid="B28">b</xref>; Espada et al., <xref ref-type="bibr" rid="B10">2014</xref>; Sousa et al., <xref ref-type="bibr" rid="B34">2015</xref>). Similarly to other sports, faster <inline-formula><mml:math id="M13"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics in swimming have been associated with performance in middle distance events (Rodriguez et al., <xref ref-type="bibr" rid="B30">2003</xref>; Reis et al., <xref ref-type="bibr" rid="B28">2012b</xref>; Espada et al., <xref ref-type="bibr" rid="B10">2014</xref>).</p>
<p>It has been shown that women have lower respiratory and cardiovascular capacities than their male counterpart. Namely, women have smaller stroke volumes, cardiac outputs, arterial oxygen content, hemoglobin and less red blood cells concentration than men in rest and in submaximal exercise both in absolute values or relative to body surface values (Wiebe et al., <xref ref-type="bibr" rid="B39">1998</xref>; Wheatley et al., <xref ref-type="bibr" rid="B36">2014</xref>). Furthermore, women also present smaller lung volumes, lower resting lung diffusion capacity and lower maximal expiratory flow rates (Harms, <xref ref-type="bibr" rid="B14">2006</xref>). Therefore, it is not surprising that men present higher absolute <inline-formula><mml:math id="M14"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mtext>max</mml:mtext></mml:mrow></mml:msub></mml:math></inline-formula> and produce higher power outputs than women (Wiebe et al., <xref ref-type="bibr" rid="B39">1998</xref>). Although the lower cardiac and respiratory capacities of women in rest and exercise could induce smaller O<sub>2</sub> delivery and utilization to the muscle, and consequently, slower <inline-formula><mml:math id="M15"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics than men, women also present an enhanced blood flow to the working muscle, namely they present higher blood flow and vascular conductance for the femoral blood flow in steady state exercise (Parker et al., <xref ref-type="bibr" rid="B24">2007</xref>). Conversely, in the forearm exercise the vasodilatory responses do not differ between men and women (Limberg et al., <xref ref-type="bibr" rid="B17">2010</xref>). Furthermore, it should be acknowledged that the microvascular O<sub>2</sub> delivery could be a determinant factor in the <inline-formula><mml:math id="M16"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics response, which is not expected to be influenced by sex (Murias et al., <xref ref-type="bibr" rid="B23">2014</xref>). Thus, although the current physiological models seem to support the similarity the response between men and women, there are still some sex induced differences that can potentially influence the oxygen uptake kinetics response. Furthermore, since in swimming the training groups frequently include both men and women, it is of most importance to verify the possible differences in order to increase the specificity of the training bouts.</p>
<p>The characterization of <inline-formula><mml:math id="M17"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics in females has been considerably less studied than in males and the literature has provided conflicting results regarding the differences between sexes (Fawkner and Armstrong, <xref ref-type="bibr" rid="B11">2003</xref>; Murias et al., <xref ref-type="bibr" rid="B20">2010</xref>, <xref ref-type="bibr" rid="B21">2011a</xref>). While for heavy exercise prepubertal boys present faster <inline-formula><mml:math id="M18"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics and smaller contribution of the slow component than maturational age matched girls, there are no differences in <inline-formula><mml:math id="M19"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics between male and female children and adults in moderate exercise (Fawkner and Armstrong, <xref ref-type="bibr" rid="B11">2003</xref>). Also in moderate exercise Murias et al. (<xref ref-type="bibr" rid="B20">2010</xref>, <xref ref-type="bibr" rid="B21">2011a</xref>) reported similar <inline-formula><mml:math id="M20"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> Kinetics for men and women of similar fitness levels. Conversely, recently Lai et al. (<xref ref-type="bibr" rid="B16">2016</xref>) reported that adolescent women had slower <inline-formula><mml:math id="M21"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> and heart rate kinetics in moderate and heavy intensity cycling and presented a higher slow component for the latter.</p>
<p>In swimming, the literature has mainly presented data for male swimmers: to the best of our knowledge, only one study has characterized separately the <inline-formula><mml:math id="M22"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics for female swimmers (Rodriguez et al., <xref ref-type="bibr" rid="B30">2003</xref>). However, these researchers only studied 4 female swimmers, describing the <inline-formula><mml:math id="M23"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics for race-pace velocities in 100 and 400 m front crawl swimming.</p>
<p>Since the control for <inline-formula><mml:math id="M24"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics across exercise domains can be attributed to different physiological mechanisms (Carter et al., <xref ref-type="bibr" rid="B6">2002</xref>; Poole and Jones, <xref ref-type="bibr" rid="B26">2005</xref>), it is important to study the influence of sex on <inline-formula><mml:math id="M25"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics both below and above the ventilatory threshold. Additionally, to date, most studies in swimming described the oxygen uptake kinetics above VT, i.e., for heavy, severe and extreme exercise (Sousa et al., <xref ref-type="bibr" rid="B33">2011</xref>; Filho et al., <xref ref-type="bibr" rid="B12">2012</xref>; Reis et al., <xref ref-type="bibr" rid="B27">2012a</xref>,<xref ref-type="bibr" rid="B28">b</xref>). To the best of our knowledge only two studies analyzed the <inline-formula><mml:math id="M26"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics response in moderate swimming and used only one repetition (Sousa et al., <xref ref-type="bibr" rid="B32">2013</xref>) and/or reported the values obtained in an incremental protocol (de Jesus et al., <xref ref-type="bibr" rid="B8">2015</xref>). The comparison between &#x003C4;<sub>p</sub> for moderate and heavy exercise, using multiple exercise transitions has yet to be done, which can be useful to describe the control of on-kinetics in such exercise modality. Furthermore, in swimming most of the water-training is performed at these intensities and the volume performed at such intensities is significantly correlated with performance (Mujika et al., <xref ref-type="bibr" rid="B18">1996</xref>).</p>
<p>Therefore, the aim of the present study was to compare the <inline-formula><mml:math id="M27"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics response of male and female trained swimmers during moderate and heavy intensity exercise. We hypothesized that the <inline-formula><mml:math id="M28"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> dynamic response is faster in males than in females in moderate and heavy intensity swimming.</p>
</sec>
<sec sec-type="materials and methods" id="s2">
<title>Materials and methods</title>
<sec>
<title>Subjects</title>
<p>Nineteen (8 females mean &#x000B1; SD; age 17.9 &#x000B1; 3.5 years; mass 55.2 &#x000B1; 3.6 kg; height 1.66 &#x000B1; 0.05 m; number of weekly training sessions 8.9 &#x000B1; 0.6 and 11 male 21.9 &#x000B1; 2.8 years; 78.2 &#x000B1; 11.1 kg; 1.81 &#x000B1; 0.08 m; number of weekly training sessions 8.7 &#x000B1; 1.1) well-trained swimmers of national and international level participated in this study. All the subjects had been previously familiarized with the test procedures and equipment used in the experiment.</p>
<p>This study was carried out in accordance with the recommendations of Scientific Committee of the Faculty of Human Kinetics of the University of Lisbon with written informed consent from all subjects. All subjects gave written informed consent in accordance with the Declaration of Helsinki. The protocol was approved by the Scientific Committee of the Faculty of Human Kinetics of the University of Lisbon.</p>
</sec>
<sec>
<title>Design</title>
<p>Oxygen uptake was measured during all test sessions using a breath-by-breath analyzer system (K4b2, Cosmed, Italy), calibrated immediately before each test according to the manufacturer&#x00027;s instructions. The analyzer was connected to the swimmer by a respiratory snorkel and valve system (Aquatrainer, Cosmed, Italy), previously validated for the determination of <inline-formula><mml:math id="M29"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics by our research group (Reis et al., <xref ref-type="bibr" rid="B29">2010</xref>).</p>
<p>The tests were performed only in front crawl due to constraints of using the respiratory snorkel, with in-water starts and open turns and without underwater gliding. Target velocities were adjusted for each swimmer according to personal best times, and controlled on the basis of acoustic feedback to the swimmers in each 25 m.</p>
<p>All tests were conducted under the same conditions of environmental temperature, humidity and time of day and the subjects were instructed to report to the pool in a rested, fully hydrated state, at least 2 h after eating, having avoided strenuous exercise in the 24 h before a test session.</p>
</sec>
<sec>
<title>Incremental test</title>
<p>The swimmers first performed an incremental test to exhaustion comprising 5 &#x000D7; 200 m sets with 30 s rest intervals, for determination of maximal oxygen uptake <inline-formula><mml:math id="M30"><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mtext>max</mml:mtext></mml:mrow></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and the first ventilatory threshold (VT) (Roels et al., <xref ref-type="bibr" rid="B31">2005</xref>; Reis et al., <xref ref-type="bibr" rid="B28">2012b</xref>). The velocity of the first repetition was calculated as 60% of the subject&#x00027;s best season competition time for 200 m, and 5&#x02013;10% velocity increments between the first and fourth repetition were imposed. The last repetition was performed at maximal velocity <inline-formula><mml:math id="M31"><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mtext>v</mml:mtext><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mtext>max</mml:mtext></mml:mrow></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M32"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mtext>max</mml:mtext></mml:mrow></mml:msub></mml:math></inline-formula> was designated as the highest 30 s <inline-formula><mml:math id="M33"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> average. VT was established as the oxygen uptake at which <inline-formula><mml:math id="M34"><mml:mover accent="true"><mml:mrow><mml:mtext>VE</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:mo>/</mml:mo><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> and end-tidal O<sub>2</sub> pressure (PETO<sub>2</sub>) began to increase without a simultaneous increase in end-tidal CO<sub>2</sub> pressure (PETCO<sub>2</sub>) (Wasserman et al., <xref ref-type="bibr" rid="B35">1973</xref>). Heart rate (HR) was recorded telemetrically at 5 s intervals (Polar RS800, Kempele, Finland). Immediately after each repetition, fingertip blood lactate concentration was determined (Arkray, Kyoto, Japan). Lactate concentration [La] was also analyzed 3, 5, and 7 min after the end of exercise, for the determination of maximal lactate concentration (La<sub>max</sub>).</p>
</sec>
<sec>
<title>Square-wave transitions</title>
<p>On subsequent days, the swimmers performed, in this order, two 600-m constant velocity swimming bouts corresponding to 80% VT (Moderate) and 25% &#x00394; [VT &#x0002B; 0.25 x (<inline-formula><mml:math id="M35"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mtext>max</mml:mtext></mml:mrow></mml:msub></mml:math></inline-formula> &#x02212; VT)] (Heavy), respectively. The swimming bouts were separated by 10 min of passive rest. For all the subjects, said inter-bout rest times assured that the <inline-formula><mml:math id="M36"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> and [La] returned to rest values.</p>
<p>The above procedure was repeated by all the subjects within 1 week of its first completion. Thus, <inline-formula><mml:math id="M37"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics data were obtained for a total of two repetitions for each exercise transition. Throughout each swimming bout, the heart rate was measured continuously and immediately after, the [La] was determined, using the same procedure as in the incremental test.</p>
</sec>
<sec>
<title>Data handling</title>
<p>For each transition, only the first 7 min of exercise were considered for the analysis.</p>
<p>The breath-by-breath values lying more than three standard deviations from the local mean were previously removed from the data. The data of the two square-wave transitions for moderate and heavy swimming were then interpolated into 1-s values, time-aligned, and ensemble averaged to provide a single on-transient set of data for each swimming transition.</p>
<p><inline-formula><mml:math id="M38"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics parameters were calculated, by an iterative procedure, minimizing the sum of the residuals (squares of the differences between the modeled and the measured <inline-formula><mml:math id="M39"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> values), according to the following equation:
<disp-formula id="E1"><label>(1)</label><mml:math id="M40"><mml:mrow><mml:mover accent='true'><mml:mi>V</mml:mi><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mi>O</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mo>{</mml:mo><mml:mrow><mml:mtable columnalign='left'><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mover accent='true'><mml:mi>V</mml:mi><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mi>O</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>b</mml:mi><mml:mi>a</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd columnalign='left'><mml:mrow><mml:mtext>for&#x02009;</mml:mtext><mml:mi>t</mml:mi><mml:mo>&#x0003C;</mml:mo><mml:mi>t</mml:mi><mml:msub><mml:mi>d</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd columnalign='left'><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mover 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columnalign='left'><mml:mrow><mml:mtext>for&#x02009;</mml:mtext><mml:mi>t</mml:mi><mml:msub><mml:mi>d</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>&#x02264;</mml:mo><mml:mi>t</mml:mi><mml:mo>&#x0003C;</mml:mo><mml:mi>t</mml:mi><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd columnalign='left'><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mtable columnalign='left'><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mtext>primary</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mtext>component</mml:mtext></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mover accent='true'><mml:mi>V</mml:mi><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mi>O</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>b</mml:mi><mml:mi>a</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x02212;</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mi>t</mml:mi><mml:msub><mml:mi>d</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mtext>&#x000A0;</mml:mtext><mml:mo>/</mml:mo><mml:msub><mml:mi>&#x003C4;</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x02212;</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mi>t</mml:mi><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:msub><mml:mi>&#x003C4;</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd><mml:mtd columnalign='left'><mml:mrow><mml:mtext>for&#x02009;</mml:mtext><mml:mi>t</mml:mi><mml:mo>&#x02265;</mml:mo><mml:mi>t</mml:mi><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd columnalign='left'><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mtable columnalign='left'><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mtext>slow</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mtext>component</mml:mtext></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mrow></mml:mrow></mml:math></disp-formula>
where <inline-formula><mml:math id="M41"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math></inline-formula> represents the relative <inline-formula><mml:math id="M42"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> at a given time, <inline-formula><mml:math id="M43"><mml:mover accent="true"><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mi>b</mml:mi><mml:mi>a</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> represents the rest <inline-formula><mml:math id="M44"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> calculated as the average <inline-formula><mml:math id="M45"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> of the first 30 s of the last minute before exercise, td<sub>p</sub>, &#x003C4;<sub>p</sub>, A<sub>p</sub> represent the time delay, the time constant and the amplitude of the primary phase and slow component, and td<sub>sc</sub>, &#x003C4;<sub>sc</sub>, A<sub>sc</sub>, represent the same parameters for the slow component.</p>
<p>Since Whipp et al. (<xref ref-type="bibr" rid="B37">1982</xref>) stated that some 20 s after the start of the exercise, the primary component begins, and based on an experimental approach designed by Murias et al. (<xref ref-type="bibr" rid="B22">2011b</xref>) we chose to exclude the first 20 s of data from the analysis to remove the influence of the cardiodynamic phase on the subsequent response.</p>
<p>For the moderate swimming exercise the slow component was not considered, since the monoexponential model was the best fit in all subjects.</p>
<p>For the heavy transitions, because the asymptotic value of the second function is not necessarily reached at the end of the exercise, the amplitude of the <inline-formula><mml:math id="M46"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> slow component was defined as <inline-formula><mml:math id="M47"><mml:mrow><mml:msubsup><mml:mstyle mathsize='140%' displaystyle='true'><mml:mi>A</mml:mi></mml:mstyle><mml:mrow><mml:mi>s</mml:mi><mml:mi>c</mml:mi></mml:mrow><mml:mo>&#x02032;</mml:mo></mml:msubsup><mml:mtext>&#x02009;</mml:mtext><mml:mo>=</mml:mo><mml:mtext>&#x02009;</mml:mtext><mml:msub><mml:mi>A</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x02009;</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:mn>1</mml:mn><mml:mo>&#x02212;</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mo stretchy='false'>(</mml:mo><mml:mi>t</mml:mi><mml:mi>e</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mi>t</mml:mi><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo stretchy='false'>)</mml:mo><mml:mo>/</mml:mo><mml:msub><mml:mi>&#x003C4;</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x02009;</mml:mtext></mml:mrow></mml:msup><mml:mo stretchy='false'>)</mml:mo></mml:mrow></mml:math></inline-formula> where <italic>te</italic> was the time at the end of the exercise bout (Borrani et al., <xref ref-type="bibr" rid="B3">2001</xref>).</p>
<p>The modeling for both intensities incorporated an individual &#x0201C;snorkel delay&#x0201D; (ISD) validated in previous work by our research group (Reis et al., <xref ref-type="bibr" rid="B29">2010</xref>). ISD was calculated for each subject repetition as the difference between the onset of exercise (t<sub>s</sub>) and the time (t<sub>ISD</sub>) when the following breaths summed a tidal volume (TV) superior to the outlet tube volume (RSV), i.e., when the <inline-formula><mml:math id="M48"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> data so obtained could be considered to be representative of the exercise task.</p>
<p>The primary component (Gain A<sub>p</sub>) and end-exercise (EEgain) gain were computed by dividing the A<sub>p</sub> or the End-Exercise <inline-formula><mml:math id="M49"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> (EE <inline-formula><mml:math id="M50"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>), respectively, by the &#x00394; velocity.</p>
</sec>
<sec>
<title>Statistical analysis</title>
<p>All statistical analyses were performed using the Statistical Package for the Social Sciences (SPSS Statistics 20.0 for Windows, SPSS Inc., Chicago, USA). Normality of the distribution was checked by the Shapiro-Wilk&#x00027;s test. The data was then analyzed using a mixed &#x0201C;between-within&#x0201D; analysis of variance (ANOVA), with sex as a between-participant factor and exercise intensity as a within-participant factor. Statistical significance was accepted at <italic>p</italic> &#x02264; 0.05.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<p>The swimmers responses obtained in the incremental test and in the square-wave transitions are given in Tables <xref ref-type="table" rid="T1">1</xref>, <xref ref-type="table" rid="T2">2</xref>, respectively. In the incremental test, male swimmers showed higher absolute and relative <inline-formula><mml:math id="M51"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mtext>max</mml:mtext></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M52"><mml:mtext>v</mml:mtext><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mtext>max</mml:mtext></mml:mrow></mml:msub></mml:math></inline-formula> (<italic>p</italic> &#x0003D; 0.000). Conversely, male and female swimmers presented similar values of maximal heart rate and maximal lactate concentration, as well as VT expressed as a percentage of <inline-formula><mml:math id="M53"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mtext>max</mml:mtext></mml:mrow></mml:msub></mml:math></inline-formula>.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p><bold>Mean and standard deviation (SD) of the aerobic parameters obtained in the incremental test for men and women</bold>.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left"><bold>Variable</bold></th>
<th valign="top" align="center"><bold>Men</bold></th>
<th valign="top" align="center"><bold>Women</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><inline-formula><mml:math id="M54"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mtext>max</mml:mtext></mml:mrow></mml:msub></mml:math></inline-formula> (ml kg<sup>&#x02212;1</sup> min<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">57.7 &#x000B1; 4.4</td>
<td valign="top" align="center">50.0 &#x000B1; 5.7<xref ref-type="table-fn" rid="TN1"><sup>a</sup></xref></td>
</tr>
<tr>
<td valign="top" align="left"><inline-formula><mml:math id="M55"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mtext>max</mml:mtext></mml:mrow></mml:msub></mml:math></inline-formula> (ml min<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">4492.5 &#x000B1; 585.5</td>
<td valign="top" align="center">2752.4 &#x000B1; 187.9<xref ref-type="table-fn" rid="TN1"><sup>a</sup></xref></td>
</tr>
<tr>
<td valign="top" align="left"><inline-formula><mml:math id="M56"><mml:mtext>v</mml:mtext><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mtext>max</mml:mtext></mml:mrow></mml:msub></mml:math></inline-formula> (m s<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">1.49 &#x000B1; 0.06</td>
<td valign="top" align="center">1.33 &#x000B1; 0.05<xref ref-type="table-fn" rid="TN1"><sup>a</sup></xref></td>
</tr>
<tr>
<td valign="top" align="left">VT (% <inline-formula><mml:math id="M57"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mtext>max</mml:mtext></mml:mrow></mml:msub></mml:math></inline-formula>)</td>
<td valign="top" align="center">75.8 &#x000B1; 6.8</td>
<td valign="top" align="center">77.9 &#x000B1; 5.5</td>
</tr>
<tr>
<td valign="top" align="left">La<sub>max</sub> (mmol l<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">10.3 &#x000B1; 2.2</td>
<td valign="top" align="center">8.1 &#x000B1; 2.5</td>
</tr>
<tr>
<td valign="top" align="left">HR<sub>max</sub> (beats min<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">181.9 &#x000B1; 7.6</td>
<td valign="top" align="center">193.8 &#x000B1; 9.7</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic><inline-formula><mml:math id="M58"><mml:mover accent="true"><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mi>2max</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>, relative and absolute maximal oxygen consumption; <inline-formula><mml:math id="M59"><mml:mi>v</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mi>2max</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>, velocity associated to <inline-formula><mml:math id="M60"><mml:mover accent="true"><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mi>2max</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>; VT, oxygen consumption at the ventilatory threshold relative to <inline-formula><mml:math id="M61"><mml:mover accent="true"><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mi>2max</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>; La<sub>max</sub>, maximal lactate concentration; HR<sub>max</sub>, maximal heart rate</italic>.</p>
<fn id="TN1">
<label>a</label>
<p><italic>Significantly different than men for the same intensity (p &#x0003C; 0.05)</italic>.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p><bold>Mean &#x000B1; SD parameters of the <inline-formula><mml:math id="M62"><mml:msub><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics for transition from rest to 80% VT (moderate) and &#x00394;25% (heavy) for Men and Women</bold>.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center" colspan="2" style="border-bottom: thin solid #000000;"><bold>Moderate</bold></th>
<th valign="top" align="center" colspan="2" style="border-bottom: thin solid #000000;"><bold>Heavy</bold></th>
</tr>
<tr>
<th/>
<th valign="top" align="center"><bold>Men</bold></th>
<th valign="top" align="center"><bold>Women</bold></th>
<th valign="top" align="center"><bold>Men</bold></th>
<th valign="top" align="center"><bold>Women</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><inline-formula><mml:math id="M63"><mml:mover accent="true"><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>b</mml:mi><mml:mi>a</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi></mml:math></inline-formula> (ml kg<sup>&#x02212;1</sup> min<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">8.86 &#x000B1; 1.2</td>
<td valign="top" align="center">8.07 &#x000B1; 1.1</td>
<td valign="top" align="center">8.1 &#x000B1; 1.7</td>
<td valign="top" align="center">7.8 &#x000B1; 1.4</td>
</tr>
<tr>
<td valign="top" align="left"><inline-formula><mml:math id="M64"><mml:mover accent="true"><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>b</mml:mi><mml:mi>a</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi></mml:math></inline-formula> (ml min<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">692 &#x000B1; 132</td>
<td valign="top" align="center">445 &#x000B1; 60<xref ref-type="table-fn" rid="TN2"><sup>a</sup></xref></td>
<td valign="top" align="center">633 &#x000B1; 132</td>
<td valign="top" align="center">430 &#x000B1; 77<xref ref-type="table-fn" rid="TN2"><sup>a</sup></xref></td>
</tr>
<tr>
<td valign="top" align="left">A<sub>p</sub> (ml kg<sup>&#x02212;1</sup> min<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">22.2 &#x000B1; 2.1</td>
<td valign="top" align="center">20.3 &#x000B1; 2.7<xref ref-type="table-fn" rid="TN2"><sup>a</sup></xref></td>
<td valign="top" align="center">37.7 &#x000B1; 2.9<xref ref-type="table-fn" rid="TN3"><sup>b</sup></xref></td>
<td valign="top" align="center">34.9 &#x000B1; 4.4<xref ref-type="table-fn" rid="TN3"><sup>b</sup></xref></td>
</tr>
<tr>
<td valign="top" align="left">A<sub>p</sub> (ml min<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">1736 &#x000B1; 164</td>
<td valign="top" align="center">1121 &#x000B1; 149<xref ref-type="table-fn" rid="TN2"><sup>a</sup></xref></td>
<td valign="top" align="center">2948 &#x000B1; 227<xref ref-type="table-fn" rid="TN3"><sup>b</sup></xref></td>
<td valign="top" align="center">1927 &#x000B1; 243<xref ref-type="table-fn" rid="TN2"><sup>a</sup></xref><sup>,</sup><xref ref-type="table-fn" rid="TN3"><sup>b</sup></xref></td>
</tr>
<tr>
<td valign="top" align="left">td<sub>p</sub> (s)</td>
<td valign="top" align="center">12.3 &#x000B1; 4.3</td>
<td valign="top" align="center">12.7 &#x000B1; 2.8</td>
<td valign="top" align="center">11.1 &#x000B1; 3.7</td>
<td valign="top" align="center">11.2 &#x000B1; 4.7</td>
</tr>
<tr>
<td valign="top" align="left">&#x003C4;<sub>p</sub> (s)</td>
<td valign="top" align="center">14.4 &#x000B1; 5.1</td>
<td valign="top" align="center">15.1 &#x000B1; 5.6</td>
<td valign="top" align="center">16.0 &#x000B1; 4.5</td>
<td valign="top" align="center">13.5 &#x000B1; 3.3</td>
</tr>
<tr>
<td valign="top" align="left">A<sub>sc</sub>&#x00027; (ml kg<sup>&#x02212;1</sup> min<sup>&#x02212;1</sup>)</td>
<td/>
<td/>
<td valign="top" align="center">3.8 &#x000B1; 1.0</td>
<td valign="top" align="center">3.2 &#x000B1; 2.4</td>
</tr>
<tr>
<td valign="top" align="left">A<sub>sc</sub>&#x00027; (ml min<sup>&#x02212;1</sup>)</td>
<td/>
<td/>
<td valign="top" align="center">297 &#x000B1; 78</td>
<td valign="top" align="center">177 &#x000B1; 132</td>
</tr>
<tr>
<td valign="top" align="left">%A<sub>sc</sub>&#x00027;</td>
<td/>
<td/>
<td valign="top" align="center">7.5 &#x000B1; 1.8</td>
<td valign="top" align="center">6.6 &#x000B1; 3.8</td>
</tr>
<tr>
<td valign="top" align="left">tdsc (s)</td>
<td/>
<td/>
<td valign="top" align="center">169.1 &#x000B1; 70.0</td>
<td valign="top" align="center">167.5 &#x000B1; 51.9</td>
</tr>
<tr>
<td valign="top" align="left">&#x003C4;<sub>sc</sub> (s)</td>
<td/>
<td/>
<td valign="top" align="center">92.0 &#x000B1; 123.7</td>
<td valign="top" align="center">36.3 &#x000B1; 36.2</td>
</tr>
<tr>
<td valign="top" align="left">Gain Ap (ml&#x000B7;min<sup>&#x02212;1</sup>&#x000B7;m<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">13.9 &#x000B1; 7.6</td>
<td valign="top" align="center">11.4 &#x000B1; 3.2</td>
<td valign="top" align="center">28.7 &#x000B1; 4.7<xref ref-type="table-fn" rid="TN2"><sup>a</sup></xref></td>
<td valign="top" align="center">20.5 &#x000B1; 3.4<xref ref-type="table-fn" rid="TN2"><sup>a</sup></xref><sup>,</sup><xref ref-type="table-fn" rid="TN3"><sup>b</sup></xref></td>
</tr>
<tr>
<td valign="top" align="left">EE Gain (ml&#x000B7;min<sup>&#x02212;1</sup>&#x000B7;m<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">27.5 &#x000B1; 3.9</td>
<td valign="top" align="center">18.6 &#x000B1; 4.0<xref ref-type="table-fn" rid="TN2"><sup>a</sup></xref></td>
<td valign="top" align="center">40.5 &#x000B1; 4.7<xref ref-type="table-fn" rid="TN3"><sup>b</sup></xref></td>
<td valign="top" align="center">28.6 &#x000B1; 4.5<xref ref-type="table-fn" rid="TN2"><sup>a</sup></xref><sup>,</sup><xref ref-type="table-fn" rid="TN3"><sup>b</sup></xref></td>
</tr>
<tr>
<td valign="top" align="left">EE <inline-formula><mml:math id="M65"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> (ml kg<sup>&#x02212;1</sup> min<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">31.5 &#x000B1; 2.6</td>
<td valign="top" align="center">28.1 &#x000B1; 3.5<xref ref-type="table-fn" rid="TN2"><sup>a</sup></xref></td>
<td valign="top" align="center">49.5 &#x000B1; 3.1<xref ref-type="table-fn" rid="TN3"><sup>b</sup></xref></td>
<td valign="top" align="center">45.7 &#x000B1; 6.5<xref ref-type="table-fn" rid="TN3"><sup>b</sup></xref></td>
</tr>
<tr>
<td valign="top" align="left">EE <inline-formula><mml:math id="M66"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> (% VO<sub>2max</sub>)</td>
<td valign="top" align="center">54.9 &#x000B1; 6.1</td>
<td valign="top" align="center">56.6 &#x000B1; 6.5</td>
<td valign="top" align="center">86.2 &#x000B1; 7.7<xref ref-type="table-fn" rid="TN3"><sup>b</sup></xref></td>
<td valign="top" align="center">91.6 &#x000B1; 9.6<xref ref-type="table-fn" rid="TN3"><sup>b</sup></xref></td>
</tr>
<tr>
<td valign="top" align="left">EE HR (b.min<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">125.2 &#x000B1; 7.3</td>
<td valign="top" align="center">130.7 &#x000B1; 10.1</td>
<td valign="top" align="center">162.9 &#x000B1; 8.3<xref ref-type="table-fn" rid="TN3"><sup>b</sup></xref></td>
<td valign="top" align="center">170.5 &#x000B1; 10.9<xref ref-type="table-fn" rid="TN3"><sup>b</sup></xref></td>
</tr>
<tr>
<td valign="top" align="left">EE [La] (mmol l<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">1.6 &#x000B1; 0.6</td>
<td valign="top" align="center">1.5 &#x000B1; 0.4</td>
<td valign="top" align="center">4.9 &#x000B1; 1.7<xref ref-type="table-fn" rid="TN3"><sup>b</sup></xref></td>
<td valign="top" align="center">4.4 &#x000B1; 1.7<xref ref-type="table-fn" rid="TN3"><sup>b</sup></xref></td>
</tr>
<tr>
<td valign="top" align="left">v (m s<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">1.07 &#x000B1; 0.07</td>
<td valign="top" align="center">1.00 &#x000B1; 0.03</td>
<td valign="top" align="center">1.31 &#x000B1; 0.07</td>
<td valign="top" align="center">1.21 &#x000B1; 0.05</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic><inline-formula><mml:math id="M67"><mml:mover accent="true"><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mi>2</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> <sub>base</sub>, baselineVO<sub>2</sub>; Amplitude (A<sub>p</sub>, A<sub>sc</sub>), time delay (tdp, tdsc), time constant (&#x003C4;p, &#x003C4;sc), of the primary phase and slow component, respectively. %Asc&#x00027;: relative contribution of slow component in relation to the end-exercise <inline-formula><mml:math id="M68"><mml:mover accent="true"><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>: EE <inline-formula><mml:math id="M69"><mml:mover accent="true"><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mi>2</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> &#x02212; <inline-formula><mml:math id="M70"><mml:mover accent="true"><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mi>2</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> at the end of at the end of the constant load exercise; EE <inline-formula><mml:math id="M71"><mml:mover accent="true"><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mi>2</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> (% VO<sub>2max</sub>) &#x02212; <inline-formula><mml:math id="M72"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mi>2</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> at the end of at the end of the constant load exercise relative to VO<sub>2max</sub>; EE HR: heart rate at the end of the constant load exercise; EE [La]: [La] at the end of exercise; v: swim velocity for each exercise intensity</italic>.</p>
<fn id="TN2">
<label>a</label>
<p><italic>Significantly different than men for the same intensity (p &#x0003C; 0.05)</italic>,</p></fn>
<fn id="TN3">
<label>b</label>
<p><italic>Significantly different from moderate intensity swimming (p &#x0003C; 0.05)</italic>.</p></fn>
</table-wrap-foot>
</table-wrap>
<p><inline-formula><mml:math id="M73"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> responses for representative subjects in square wave transitions to Moderate and Heavy swimming are presented in Figures <xref ref-type="fig" rid="F1">1</xref>, <xref ref-type="fig" rid="F2">2</xref>. There was a significant effect of increased intensity in A<sub>p</sub>, EE <inline-formula><mml:math id="M74"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>, EE HR and EE La, for both sexes (<italic>p</italic> &#x0003D; 0.000 for all parameters). For moderate exercise, the female swimmers presented lower relative values than men in A<sub>p</sub> (<italic>p</italic> &#x0003D; 0.03) and EE <inline-formula><mml:math id="M75"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> (<italic>p</italic> &#x0003D; 0.04). The Gain A<sub>p</sub> (<italic>p</italic> &#x0003D; 0.01) and EE gain for heavy exercise (<italic>p</italic> &#x0003D; 0.000) and EE gain for moderate exercise (<italic>p</italic> &#x0003D; 0.00) was significantly lower for females. However, &#x003C4;<sub>p</sub> and td<sub>p</sub> were not influenced by either intensity (<italic>p</italic> &#x0003D; 0.804 and 0.326) nor sex (<italic>p</italic> &#x0003D; 0.527 and 0.908). Additionally, the <italic>A</italic><sub><italic>sc</italic></sub>&#x00027; was not different between men and women (<italic>p</italic> &#x0003D; 0.476).</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p><bold><inline-formula><mml:math id="M79"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> response profile in two example subjects in a square wave transition to moderate (lower panel) and heavy (upper panel) swimming</bold>. Breath-by-breath data of the female swimmer is shown in closed circles and of the male swimmer in open circles. The Gray lines represent the best fit as determined from the exponential modeling procedure (dark gray for the female and light gray for the male). The data is expressed as a percentage of the overall response.</p></caption>
<graphic xlink:href="fphys-08-00072-g0001.tif"/>
</fig>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p><bold><inline-formula><mml:math id="M81"><mml:msub><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> response profile in two example subjects in a square wave transition to moderate (lower panel) and heavy (upper panel) swimming</bold>. Breath-by-breath data of the female swimmer is shown in closed circles and of the male swimmer in open circles. The Gray lines represent the best fit as determined from the exponential modeling procedure (dark gray for the female and light gray for the male). The data is expressed in absolute values.</p></caption>
<graphic xlink:href="fphys-08-00072-g0002.tif"/>
</fig>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>The main finding of this work is that the time constant for the primary component of the <inline-formula><mml:math id="M76"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics response is similar between female and male trained swimmers in square transitions for both moderate and heavy intensity swimming.</p>
<p>Up to now, only one study has reported the <inline-formula><mml:math id="M77"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics separately for female swimmers (Rodriguez et al., <xref ref-type="bibr" rid="B30">2003</xref>). Even so, the sample size was just 4 swimmers, only one transition per intensity was performed and it was limited to transitions for maximal intensity in 100 and 400 m race pace efforts. Therefore, the novelty of this study relies on the description of the <inline-formula><mml:math id="M78"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics in moderate and heavy intensity in highly trained swimmers of both sexes.</p>
<p>When absolute values were considered, male swimmers presented higher Ap at moderate and heavy intensities. However, we observed that only, A<sub>p</sub> at moderate intensity was smaller in women. This difference is not surprising, since it has been shown that women have a lower energy cost than men at low intensity (Pendergast et al., <xref ref-type="bibr" rid="B25">1977</xref>), which the authors credited to the differences in body size and velocity, both inducing higher values of drag for men. Furthermore, we also found a decreased gain, both for the primary component (in heavy swimming) and end-exercise in females. Since the gain reflects the energy consumption corrected for the distance, this fact could also be associated with the higher swimming economy of women.</p>
<p>Contrary to our hypothesis, we did not find differences in the primary phase time constant between sexes in either moderate or heavy swimming. It has been reported that women have smaller hearts, smaller stroke volumes, cardiac outputs and hemoglobin concentration than men (Wiebe et al., <xref ref-type="bibr" rid="B39">1998</xref>). Furthermore, they have smaller lung volumes and lower maximal expiratory flow rates (Harms, <xref ref-type="bibr" rid="B14">2006</xref>). This author suggested that during work above 80% of VO<sub>2</sub>max women are more susceptible to fatigue and exercise induced arterial hypoxemia. However, Murias et al. (<xref ref-type="bibr" rid="B19">2013</xref>) in a recent study reported that, in a maximal ramp test in the cycle ergometer, women presented higher O<sub>2</sub> extraction for the same relative intensity than men, presenting a less effective matching of the O<sub>2</sub> delivery and O<sub>2</sub> utilization, which seem to translate impairments in blood flow. However, said lower oxygen delivery to the muscle and the cardiac and respiratory characteristics of women does not seem to affect the oxygen uptake kinetics in moderate and heavy swimming. Nevertheless, since men present higher absolute amplitudes for the primary component with similar time constants, the gross rate of increase of oxygen uptake per second is higher in men, suggesting a quicker onset. This could be due to the higher maximal oxygen uptake and larger muscle mass presented by the male swimmers.</p>
<p>Whereas the comparison between male and females remains to be thoroughly addressed in the literature for other exercise modalities, our results are in accordance to what was reported for middle age subjects in cycle ergometer, for heavy and moderate exercise (DeLorey et al., <xref ref-type="bibr" rid="B9">2005</xref>; Connor et al., <xref ref-type="bibr" rid="B7">2012</xref>) and for children and adults in moderate exercise (Fawkner and Armstrong, <xref ref-type="bibr" rid="B11">2003</xref>). One of the reasons that can explain the fact that &#x003C4;<sub>p</sub> for transitions both below and above VT are similar between women and men of similar training backgrounds is that the intensity was not high enough for the oxygen delivery to the active muscle to be sufficiently compromised. In addition, since all the swimmers were highly trained and of similar performance level, the time constant of the oxygen uptake kinetics was likely already minimized (Murias et al., <xref ref-type="bibr" rid="B23">2014</xref>) and, therefore, differences between male and female swimmers within our relatively homogeneous group of study participants were not detected.</p>
<p>Our results confirm the existence of a slow component, only for swimming intensities above the VT, similarly to what previous literature has reported for other sports (Carter et al., <xref ref-type="bibr" rid="B5">2000</xref>, <xref ref-type="bibr" rid="B6">2002</xref>). There were no differences in the slow component between male and females, both relative to body weight and to the end-exercise <inline-formula><mml:math id="M80"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics.</p>
<p>The values observed for &#x003C4;<sub>p</sub> for heavy intensity swimming are similar or somewhat faster than those reported from previous studies from the literature (Filho et al., <xref ref-type="bibr" rid="B12">2012</xref>; Reis et al., <xref ref-type="bibr" rid="B27">2012a</xref>,<xref ref-type="bibr" rid="B28">b</xref>; Espada et al., <xref ref-type="bibr" rid="B10">2014</xref>). Namely, the average of the time constant for all our subjects was 14.9 &#x000B1; 4.2 s, whereas previous studies reported &#x003C4;<sub>p</sub> of 17.3 &#x000B1; 5.4 s, 15.8 &#x000B1; 4.8 s and 16.9 &#x000B1; 3.9 s for the same exercise intensity (Bentley et al., <xref ref-type="bibr" rid="B2">2005</xref>; Reis et al., <xref ref-type="bibr" rid="B27">2012a</xref>,<xref ref-type="bibr" rid="B28">b</xref>). However, these studies only evaluated male swimmers, whom in our study presented a &#x003C4;<sub>p</sub> of 16.0 &#x000B1; 4.5 s for heavy intensity swimming. For higher intensities, namely race pace or severe swimming, a wider range of &#x003C4;<sub>p</sub> has been reported: from 10.5 &#x000B1; 2.5 s for a 200 m race pace swimming bout in elite athletes (Sousa et al., <xref ref-type="bibr" rid="B33">2011</xref>) to 21 &#x000B1; 3 s for the square-wave transition to <inline-formula><mml:math id="M82"><mml:mtext>v</mml:mtext><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mtext>max</mml:mtext></mml:mrow></mml:msub></mml:math></inline-formula> (Sousa et al., <xref ref-type="bibr" rid="B34">2015</xref>). Due to the supine position and predominance of upper body use we could expect slower <inline-formula><mml:math id="M83"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics in swimming, however, surprisingly, most of the studies conducted in swimming, including the present, reported a kinetics similar to the upright exercise modalities (Sousa et al., <xref ref-type="bibr" rid="B33">2011</xref>, <xref ref-type="bibr" rid="B34">2015</xref>; Filho et al., <xref ref-type="bibr" rid="B12">2012</xref>; Espada et al., <xref ref-type="bibr" rid="B10">2014</xref>). One may speculate that the specific training adaptation surpass the possible impairments caused by the body position and muscle mass involved in swimming.</p>
<p>No differences were found in the &#x003C4;<sub>p</sub> between moderate and heavy intensity swimming in trained swimmers. Our work is in agreement with previous studies conducted in cycling and running that reported similar &#x003C4;<sub>p</sub> across exercise intensities (Barstow and Mol&#x000E9;, <xref ref-type="bibr" rid="B1">1991</xref>; Carter et al., <xref ref-type="bibr" rid="B6">2002</xref>). According to Poole et al. (Poole and Jones, <xref ref-type="bibr" rid="B26">2005</xref>) said invariant time constant across exercise intensities is generally attributed to the fact that the <inline-formula><mml:math id="M84"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics is restricted by metabolic inertia rather than oxygen delivery, since the oxygen delivery is compromised without similar decrease in the adaptation of the aerobic response. Therefore, since the time constant for heavy swimming is not slowed when the oxygen requirements of the exercise increases above the VT, one may suggest that in trained swimmers, with fast oxidative responses, the metabolic inertia, and not oxygen delivery, restricts <inline-formula><mml:math id="M85"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics at both moderate and heavy intensities. However, due to methodological constrains that restrict the measurements of muscle oxygenation and blood flow in swimming, the invariance of time constant cannot be categorically attributed to metabolic inertia, since for heavy intensity swimming the oxygen availability could not be sufficiently compromised to affect the immediate response of the aerobic system. Furthermore, the constrained breathing pattern imposed in front crawl swimming could potentially influence the O<sub>2</sub> delivery when comparing swimming with terrestrial activities. We also must acknowledge the recent work of Murias et al. (<xref ref-type="bibr" rid="B23">2014</xref>) that suggested that in subjects with fast <inline-formula><mml:math id="M86"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics, such as the swimmers participants in these study, the intracellular control mechanisms are mainly responsible for the rate of adjustment of oxidative phosphorylation, representing an improved matching of O<sub>2</sub> delivery (or distribution) to O<sub>2</sub> utilization, a parameter that is was not possible to determine in our study. Therefore, the invariant time constant between exercise domains could also be a consequence of an improved vascular responsiveness and vascularization of the muscle caused by years of swimming training in these intensities.</p>
<p>This study also shows an unexpected increase in both the gain for the primary component and end exercise gain, between moderate and heavy swimming. This relative increase in energy cost could be associated with the increase in drag, which, contrary to other exercise modalities, induces a cubic relationship between energy expenditure and velocity (Pendergast et al., <xref ref-type="bibr" rid="B25">1977</xref>). Of importance is that, from moderate to heavy domain, the increase in velocity and then in drag was similar between men and women.</p>
</sec>
<sec id="s5">
<title>Practical applications</title>
<p>The exercise intensities used in our study are common in swimming training (Mujika et al., <xref ref-type="bibr" rid="B18">1996</xref>). One of the practical applications of these findings for training is that coaches can prescribe interval-training similarly for both male and female swimmers of identical training background, since the most important <inline-formula><mml:math id="M87"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics parameters (i.e., time constant of the primary component and amplitude of the slow component) do not appear to be different for the same relative intensity. However, since there is a large interindividual variation in the <inline-formula><mml:math id="M88"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> response to swim interval training (Bentley et al., <xref ref-type="bibr" rid="B2">2005</xref>), it is important for the coaches to have an individual evaluation of each swimmer, especially at the elite level.</p>
</sec>
<sec id="s6">
<title>Limitations</title>
<p>Despite the encouraging results, some limitations are presented and should be considered: Although we acknowledge that the small number of subjects underpowered the present study, one may observe that the present sample size is within the usual range for similar studies with highly trained athletes.</p>
<p>We did not control the female swimmers for the menstrual cycle phase. However, Gurd et al. (<xref ref-type="bibr" rid="B13">2007</xref>) reported that there were no differences in either <inline-formula><mml:math id="M89"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> nor muscle deoxygenation kinetics between the follicular and luteal phases of the menstrual cycle in active women.</p>
<p>Future research should be conducted to refine this limitations.</p>
</sec>
<sec sec-type="conclusions" id="s7">
<title>Conclusions</title>
<p>This study was the first to compare the <inline-formula><mml:math id="M90"><mml:mover accent="true"><mml:mrow><mml:mtext>V</mml:mtext></mml:mrow><mml:mo>&#x002D9;</mml:mo></mml:mover><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> kinetics between male and female trained swimmers in moderate and heavy intensity swimming, which are the most frequent intensities prescribed during training by swimming coaches. In highly trained individuals, the time constant of the primary component was not significantly different between sexes in both intensity domains and was also independent from swimming intensity. However, due to the instrumental limitations imposed by swimming exercise, namely, the inability to use oximetry in the water, we could not verify the physiological mechanisms responsible for this results.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>Conceived and designed the experiments: JR, GM, and FA. Performed experiments: JR. Analyzed data: JR, VV, and PB. Interpreted results of research: JR, GM, VV, and FA. Drafted manuscript and prepared tables/figures: JR and PB. Edited, critically revised paper and approved final version of manuscript: JR, GM, PB, VV, and FA.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>The first author gratefully acknowledges the &#x0201C;Funda&#x000E7;&#x000E3;o para a Ci&#x000EA;ncia e Tecnologia, Portugal&#x0201D; (&#x0201C;The Foundation for Science and Technology, Portugal&#x0201D;) for their post-doctoral fellowship award (reference number SFRH/BPD/84315/2012). The results of the present study do not constitute endorsement of the mentioned instruments by the authors or the journal.</p>
<sec>
<title>Conflict of interest statement</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
</sec>
</body>
<back>
<ack><p>The authors acknowledges the swimmers, coaches and clubs who participated in the study.</p>
</ack>
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