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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.2021.782167</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>Novel Computerized Method for Automated Determination of Ventilatory Threshold and Respiratory Compensation Point</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Kim</surname>
<given-names>Kyoung Jae</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
<xref rid="c001" ref-type="corresp"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1491179/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Rivas</surname>
<given-names>Eric</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Prejean</surname>
<given-names>Brian</given-names>
</name>
<xref rid="aff1" ref-type="aff"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Frisco</surname>
<given-names>Dillon</given-names>
</name>
<xref rid="aff2" ref-type="aff"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Young</surname>
<given-names>Millennia</given-names>
</name>
<xref rid="aff3" ref-type="aff"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Downs</surname>
<given-names>Meghan</given-names>
</name>
<xref rid="aff3" ref-type="aff"><sup>3</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/267379/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>KBR</institution>, <addr-line>Houston, TX</addr-line>, <country>United States</country></aff>
<aff id="aff2"><sup>2</sup><institution>JES Technologies</institution>, <addr-line>Houston, TX</addr-line>, <country>United States</country></aff>
<aff id="aff3"><sup>3</sup><institution>NASA Johnson Space Center</institution>, <addr-line>Houston, TX</addr-line>, <country>United States</country></aff>
<author-notes>
<fn id="fn1" fn-type="edited-by"><p>Edited by: Gary W. Mack, Brigham Young University, United States</p></fn>
<fn id="fn2" fn-type="edited-by"><p>Reviewed by: Stephen Seiler, University of Agder, Norway; Glen E. Foster, University of British Columbia Okanagan, Canada</p></fn>
<corresp id="c001">&#x002A;Correspondence: Kyoung Jae Kim, <email>kyoungjae.kim@nasa.gov</email></corresp>
<fn id="fn3" fn-type="other"><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>17</day>
<month>12</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>12</volume>
<elocation-id>782167</elocation-id>
<history>
<date date-type="received">
<day>23</day>
<month>09</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>18</day>
<month>11</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2021 Kim, Rivas, Prejean, Frisco, Young and Downs.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Kim, Rivas, Prejean, Frisco, Young and Downs</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p><bold>Introduction:</bold> The ventilatory threshold (named as VT<sub>1</sub>) and the respiratory compensation point (named as VT<sub>2</sub>) describe prominent changes of metabolic demand and exercise intensity domains during an incremental exercise test.</p>
<p><bold>Methods:</bold> A novel computerized method based on the optimization method was developed for automatically determining VT<sub>1</sub> and VT<sub>2</sub> from expired air during a progressive maximal exercise test. A total of 109 peak cycle tests were performed by members of the US astronaut corps (74 males and 35 females). We compared the automatically determined VT<sub>1</sub> and VT<sub>2</sub> values against the visual subjective and independent analyses of three trained evaluators. We also characterized VT<sub>1</sub> and VT<sub>2</sub> and the respective absolute and relative work rates and distinguished differences between sexes.</p>
<p><bold>Results:</bold> The automated compared to the visual subjective values were analyzed for differences with <italic>t</italic> test, for agreement with Bland&#x2013;Altman plots, and for equivalence with a two one-sided test approach. The results showed that the automated and visual subjective methods were statistically equivalent, and the proposed approach reliably determined VT<sub>1</sub> and VT<sub>2</sub> values. Females had lower absolute O<sub>2</sub> uptake, work rate, and ventilation, and relative O<sub>2</sub> uptake at VT<sub>1</sub> and VT<sub>2</sub> compared to men (<italic>p</italic>&#x2009;&#x2264;&#x2009;0.04). VT<sub>1</sub> and VT<sub>2</sub> occurred at a greater relative percentage of their peak VO<sub>2</sub> for females (67 and 88%) compared to males (55 and 74%; main effect for sex: <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001). Overall, VT<sub>1</sub> occurred at 58% of peak VO<sub>2,</sub> and VT<sub>2</sub> occurred at 79% of peak VO<sub>2</sub> (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.0001).</p>
<p><bold>Conclusion:</bold> Improvements in determining of VT<sub>1</sub> and VT<sub>2</sub> by automated analysis are time efficient, valid, and comparable to subjective visual analysis and may provide valuable information in research and clinical practice as well as identifying exercise intensity domains of crewmembers in space.</p>
</abstract>
<kwd-group>
<kwd>incremental exercise</kwd>
<kwd>noninvasive measurement</kwd>
<kwd>ventilatory threshold</kwd>
<kwd>respiratory compensation point</kwd>
<kwd>automated determination</kwd>
</kwd-group>
<contract-sponsor id="cn1">NASA<named-content content-type="fundref-id">10.13039/100000104</named-content>
</contract-sponsor>
<counts>
<fig-count count="5"/>
<table-count count="2"/>
<equation-count count="0"/>
<ref-count count="40"/>
<page-count count="9"/>
<word-count count="6280"/>
</counts>
</article-meta>
</front>
<body>
<sec id="sec1" sec-type="intro">
<title>Introduction</title>
<p>Examining the ventilatory profile during incremental exercise to a maximum effort has been used to assess aerobic fitness and monitor and prescribe exercise training in athletes and clinical populations with decades of controversy (<xref ref-type="bibr" rid="ref40">Yeh et al., 1983</xref>; <xref ref-type="bibr" rid="ref32">Poole et al., 2021</xref>). Noninvasive measurements of the ventilatory profile are represented commonly as two inflection points: the ventilatory threshold (named as VT<sub>1</sub> in this paper) and the respiratory compensation point (named as VT<sub>2</sub> in this paper; <xref ref-type="bibr" rid="ref39">Whipp et al., 1989</xref>; <xref ref-type="bibr" rid="ref4">Cannon et al., 2009</xref>; <xref ref-type="bibr" rid="ref28">Pallar&#x00E9;s et al., 2016</xref>; <xref ref-type="bibr" rid="ref5">Carriere et al., 2019</xref>; <xref ref-type="bibr" rid="ref12">Gal&#x00E1;n-Rioja et al., 2020</xref>). Determining VT<sub>1</sub> and VT<sub>2</sub> during an incremental exercise test should be accompanied by a set of universally agreed upon and explicitly defined quality-control criteria (<xref ref-type="bibr" rid="ref24">Meyer et al., 1996</xref>; <xref ref-type="bibr" rid="ref13">Gaskill et al., 2001</xref>; <xref ref-type="bibr" rid="ref31">Poole et al., 2016</xref>; <xref ref-type="bibr" rid="ref12">Gal&#x00E1;n-Rioja et al., 2020</xref>). Several VT methods for detecting VT have traditionally been based on a subjective visual analysis, but this is time-consuming, requires 2&#x2013;3 trained personnel with an independent reviewer and a strict set of criteria to maintain tight quality control (<xref ref-type="bibr" rid="ref3">Caiozzo et al., 1982</xref>; <xref ref-type="bibr" rid="ref40">Yeh et al., 1983</xref>; <xref ref-type="bibr" rid="ref16">Gladden et al., 1985</xref>; <xref ref-type="bibr" rid="ref9">Dickstein et al., 1990a</xref>; <xref ref-type="bibr" rid="ref37">Shimizu et al., 1991</xref>).</p>
<p>VT<sub>1</sub> is commonly described as the point at which pulmonary ventilation and carbon dioxide (CO<sub>2</sub>) output begin to increase exponentially (<xref ref-type="bibr" rid="ref39">Whipp et al., 1989</xref>; <xref ref-type="bibr" rid="ref8">Dennis et al., 1992</xref>). The ventilatory equivalent method has been used to identify VT<sub>1</sub>, which is best described as the intensity of activity that causes the first rise in the ventilatory equivalent of oxygen (O<sub>2</sub>) without a concurrent rise in the ventilatory equivalent of CO<sub>2</sub> (<xref ref-type="bibr" rid="ref34">Reinhard et al., 1979</xref>; <xref ref-type="bibr" rid="ref33">Powers et al., 1984</xref>). Determining VT<sub>1</sub> using the excess CO<sub>2</sub> (ExCO<sub>2</sub>) method requires the intensity of exercise that causes an increase from steady state to an excess production of CO<sub>2</sub> (<xref ref-type="bibr" rid="ref38">Volkov et al., 1975</xref>). Likewise, the V-slope method, also commonly used method, uses points that show an increase in the slope from less than 1 to greater than 1 in the CO<sub>2</sub> production (VCO<sub>2</sub>) by O<sub>2</sub> consumption (VO<sub>2</sub>) data (<xref ref-type="bibr" rid="ref9">Dickstein et al., 1990a</xref>; <xref ref-type="bibr" rid="ref11">Ekkekakis et al., 2008</xref>) and in the minute ventilation (VE) by VCO<sub>2</sub> data (<xref ref-type="bibr" rid="ref1">Beaver et al., 1986</xref>) for locating VT<sub>1</sub> and VT<sub>2</sub>, respectively. All computerized methods mentioned require finding the point where the slope changes markedly over the entire scattergram. However, two regression lines skim the slope of data points from left to right and stop as soon as its criterion is satisfied; thus, the algorithm for searching VT<sub>1</sub> might estimate lower VO<sub>2</sub> compared with the other methods depending on the amount of noise in the data (<xref ref-type="bibr" rid="ref11">Ekkekakis et al., 2008</xref>). For the severe exercise intensity domain, VT<sub>2</sub> is considered the second break point at which the partial pressure of arterial CO<sub>2</sub> starts to decline during heavy exercise (<xref ref-type="bibr" rid="ref1">Beaver et al., 1986</xref>; <xref ref-type="bibr" rid="ref27">Nattie and Li, 2012</xref>). The 2-line regression model for detecting the slope change in the scattergram also has been used to find VT<sub>2</sub> associated with VE and VCO<sub>2</sub> (<xref ref-type="bibr" rid="ref38">Volkov et al., 1975</xref>; <xref ref-type="bibr" rid="ref34">Reinhard et al., 1979</xref>; <xref ref-type="bibr" rid="ref7">Davis et al., 1980</xref>; <xref ref-type="bibr" rid="ref33">Powers et al., 1984</xref>; <xref ref-type="bibr" rid="ref2">Brooks, 1985</xref>; <xref ref-type="bibr" rid="ref1">Beaver et al., 1986</xref>). However, a disadvantage, inherent to methods that use regression analysis during maximal exercise, is the possibility that the hyperventilation phase (VT<sub>2</sub> starting point) may be partially included in the calculation (<xref ref-type="bibr" rid="ref10">Dickstein et al., 1990b</xref>).</p>
<p>Exercise countermeasures are the only known way for maintaining muscle mass, strength, and cardiorespiratory fitness in crewmembers during spaceflight. It is important for exercise prescriptions to be optimized to maintain astronauts&#x2019; fitness to avoid premature physical and cognitive fatigue during performance of high-risk, mission-critical tasks. Additionally, more women are now flying into space, yet few studies about sex-specific physiologic differences in the astronaut population have been explored during and after spaceflight. A reliable and automated detection of VT<sub>1</sub> and VT<sub>2</sub> for prescribing exercise domains can help to quickly identify and guide individualized exercise prescriptions for the purpose of maintaining and enhancing crewmembers&#x2019; performance of submaximal extravehicular activities (EVAs) over long durations. We believe that determining both VT<sub>1</sub> and VT<sub>2</sub> using the proposed novel automated method and their associated absolute and relative work rates can provide valuable information regarding crewmembers&#x2019; ability to exercise (e.g., buffering capacity, lactate kinetics) on the International Space Station (ISS) and to perform EVAs and lunar exploration. Understanding where VT<sub>1</sub> and VT<sub>2</sub> occur can assist in prescribing exercise intensity above or below those points. Therefore, in this study, we determined the accuracy of our novel automated analysis by comparing the computerized results with subjective visual identification. We also aimed to characterize absolute and relative work rates at VT<sub>1</sub> and VT<sub>2</sub> and to identify if there are any differences in those values between female and male crewmembers.</p>
</sec>
<sec id="sec2" sec-type="materials|methods">
<title>Materials and Methods</title>
<sec id="sec3">
<title>Subjects</title>
<p>This study protocol was reviewed and approved by the NASA Johnson Space Center (JSC)&#x2018;s Institutional Review Board and in agreement with the Declaration of Helsinki. All participants in the study provided signatures confirming their informed consent. Data were collected from 2013 to 2019. Astronaut participants in these data were active astronauts in flight training at JSC. Exact training status, e.g., amount of time spent in physically training, is not known. A total of 109 peak cycle tests were obtained from a large astronaut database (74 males and 35 females) and used to examine the ventilatory thresholds at VT<sub>1</sub> and VT<sub>2</sub>. The data set was separated into groups of female and males for the sex difference study (<xref ref-type="bibr" rid="ref29">Pescatello et al., 2014</xref>). See <xref rid="tab1" ref-type="table">Table 1</xref> for mean participant characteristics and statistical significances for the overall and sex differences.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption><p>Mean participant characteristics and statistical significances between groups.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" colspan="2">Study</th>
<th align="center" valign="top">Age (year)</th>
<th align="center" valign="top">Mass (kg)</th>
<th align="center" valign="top">Height (cm)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" colspan="2">Overall</td>
<td align="center" valign="middle">41.1&#x2009;&#x00B1;&#x2009;7.3</td>
<td align="center" valign="middle">76.8&#x2009;&#x00B1;&#x2009;12.4</td>
<td align="center" valign="middle">174.8&#x2009;&#x00B1;&#x2009;9.4</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">Male vs. Female</td>
<td align="left" valign="middle">Male</td>
<td align="center" valign="middle">41.5&#x2009;&#x00B1;&#x2009;6.8</td>
<td align="center" valign="middle">82.6&#x2009;&#x00B1;&#x2009;9.9</td>
<td align="center" valign="middle">179.1&#x2009;&#x00B1;&#x2009;5.8</td>
</tr>
<tr>
<td align="left" valign="middle">Female</td>
<td align="center" valign="middle">40.3&#x2009;&#x00B1;&#x2009;8.4</td>
<td align="center" valign="middle">64.7&#x2009;&#x00B1;&#x2009;7.2</td>
<td align="center" valign="middle">165.7&#x2009;&#x00B1;&#x2009;9.0</td>
</tr>
<tr>
<td align="left" valign="middle">value of <italic>p</italic></td>
<td align="center" valign="middle">0.46</td>
<td align="center" valign="middle"><italic>&#x003C;0.0001</italic></td>
<td align="center" valign="middle"><italic>&#x003C;0.0001</italic></td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec4">
<title>Test Procedure and Data Collection</title>
<p>Cardiorespiratory fitness (peak VO<sub>2</sub>) was determined by a progressive, incremental graded cycle ergometer stress test to volitional exhaustion. Our graded exercise protocol was developed to measure peak VO<sub>2</sub> and VT at JSC. The protocol has two versions; a nominal protocol and a light protocol conducted on the LODE Excalibur sport cycle ergometer (Lode BV, Groningen, Netherlands). The nominal protocol consisted of a cycling warm-up at 50&#x2009;W for 3&#x2009;min followed by stepwise increases of 25&#x2009;W every minute until test termination. The light protocol consists of the same timed wattage increases (i.e., 3&#x2009;min warm-up then 1-min increases), but the wattage starts at 45&#x2009;W and with 15&#x2009;W increases. Participants were assigned the nominal or light protocol based on body weight. Participants were assigned the light protocol if they weighed less than 65 kilograms. Eight participants fell in this category. We observed that aerobic response was sufficiently fast to adjust to the 15 or 25&#x2009;W workload increases within the 1-min stage time.</p>
<p>Participants were instructed to maintain a cadence of 75 revolutions per minute (RPM) throughout testing. Respiratory gases were sampled per 10-s interval and analyzed using the ParvoMedics TrueOne<sup>&#x00AE;</sup> 2400 metabolic cart. After a 30-min warm-up, O<sub>2</sub> and CO<sub>2</sub> gas were calibrated using known gases (16% O<sub>2</sub>, 4% CO<sub>2</sub>) and air flow was calibrated with a 3-L syringe. To ensure accuracy of indirect calorimetry, gas and flow calibration was conducted prior to every exercise test and consisted of ambient and standard gas calibration along with flow meter calibration. Calibration was accepted if new calibration parameters were within +/&#x2212; 3% of previous values. Additionally, maintenance procedures were followed in accordance with manufacturer guidelines. The rating of perceived exertion (RPE; Borg scale 6&#x2013;20) was measured every 2&#x2013;3&#x2009;min during the exercise test. Heart rate (HR) was determined from 12-lead electrocardiogram recordings throughout the test (CardioSoft CASE<sup>&#x00AE;</sup>, GE Healthcare, WI, United States). The test was considered to be maximal when at least 4 of 5 following criteria were met: (1) a respiratory exchange ratio (RER) of &#x2265;1.10, (2) a plateau in VO<sub>2</sub> with increasing workloads, (3) workload volitional fatigue (a fall of 10 RPM), (4) exercise peak HR that was within 10 beats of the age-predicted maximal HR [207&#x2013;(0.67&#x2009;&#x00D7;&#x2009;age)] (<xref ref-type="bibr" rid="ref14">Gellish et al., 2007</xref>), and (5) RPE at or greater than 19. All participants reached at least 4 of the listed criteria.</p>
<p>In summary, exercise variables in this study were work rates (W), %Wmax (%), HR (beat/min), RER (VO<sub>2</sub>:VCO<sub>2</sub>), and VE (L/min) at the ventilatory thresholds (VT<sub>1</sub> and VT<sub>2</sub>) and peak VO<sub>2</sub> in absolute (L/min) and relative to body weight (ml/kg/min) expressions. The first 3&#x2009;min of warm-up were excluded in data analysis.</p>
</sec>
<sec id="sec5">
<title>Proposed Computerized Determination of VT Values</title>
<p>Detection of abrupt change in data distribution has been considered as one of the important practical problems arising in various applications (<xref ref-type="bibr" rid="ref35">Riedel, 1994</xref>). In this study, we used a parametric global optimization method (<xref ref-type="bibr" rid="ref22">Lavielle, 2005</xref>), which was implemented as a MATLAB function, named <italic>findchangepts</italic> (MATLAB<sup>&#x00AE;</sup> R2020a, The MathWorks, Inc., Natick, MA, United States). Though the parametric global optimization method identifies a data point change most significantly over the entire scattergram, it could be common during the determination of thresholds to find that some data are indeterminate and inter-method differences are unavoidable in nature (<xref ref-type="bibr" rid="ref13">Gaskill et al., 2001</xref>). To provide a valid and reliable process, <xref ref-type="bibr" rid="ref13">Gaskill et al. (2001)</xref> recommended to average the combined multiple methods used to identify ventilatory threshold (<xref ref-type="bibr" rid="ref13">Gaskill et al., 2001</xref>). Thus, we identified VT<sub>1</sub> using the mean of ExCO<sub>2</sub> and V-slope (<xref rid="fig1" ref-type="fig">Figure 1A</xref>) and detected VT<sub>2</sub> using the mean of the excess minute ventilation (ExVE) method (<xref ref-type="bibr" rid="ref21">Kim et al., 2020</xref>) and V-slope (<xref rid="fig1" ref-type="fig">Figure 1B</xref>). <xref rid="fig1" ref-type="fig">Figure 1C</xref> shows the combined VT<sub>1</sub> and VT<sub>2</sub> corresponded to gas exchange data: VE/VO<sub>2</sub>, ventilatory equivalent for O<sub>2</sub> (blue dots); VE/VCO<sub>2</sub>, ventilatory equivalent for CO<sub>2</sub> (red dots); PETO<sub>2</sub>, end-tidal pressure of O<sub>2</sub> (green dots); end-tidal pressure of CO<sub>2</sub>, PETCO<sub>2</sub> (pink dots). Finally, we identified the work rate associated with VT<sub>1</sub> and VT<sub>2</sub> and compared absolute and relative sex difference.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption><p>Example of determination of VT<sub>1</sub> and VT<sub>2</sub>. <bold>(A)</bold> left: ExCO<sub>2</sub>, right: V-slope for VT<sub>1</sub>. <bold>(B)</bold> left: ExVE, right: V-slope for VT<sub>2</sub>. <bold>(C)</bold> The combined VT<sub>1</sub> and VT<sub>2</sub> corresponded to gas exchange data: VE/VO<sub>2</sub>, ventilatory equivalent for O<sub>2</sub> (blue dots); VE/VCO<sub>2</sub>, ventilatory equivalent for CO<sub>2</sub> (red dots); PETO<sub>2</sub>, end-tidal pressure of O<sub>2</sub> (green dots); end-tidal pressure of CO<sub>2</sub>, PETCO<sub>2</sub> (pink dots).</p></caption>
<graphic xlink:href="fphys-12-782167-g001.tif"/>
</fig>
<p>The ExVE is the method we proposed to identify the intensity of exercise that caused an increase from steady state to excess VE (<xref ref-type="bibr" rid="ref21">Kim et al., 2020</xref>). Anaerobic exercise triggers a cascade of metabolic reactions in the human body (<xref ref-type="bibr" rid="ref1">Beaver et al., 1986</xref>). At high intensity of exercise, the high-energy demand triggers a breakdown of glucose and a reduction of pyruvate. These metabolic processes produce lactate faster than the body can metabolize it. Bicarbonate buffers hydrogen H<sup>+</sup> as a countermeasure when lactate flux increases faster than removal. As exercise intensity increases above this point, VCO<sub>2</sub> increases and systemic pH in the bloodstream decreases as the H<sup>+</sup> from the bicarbonate is not sufficiently buffered (<xref ref-type="bibr" rid="ref26">Myers and Ashley, 1997</xref>). This decrease in blood pH triggers carotid bodies, chemoreceptor cells located in the carotid artery, to further increase VE. Therefore, VT<sub>2</sub> can be determined as the point in time where VE increases to compensate for VCO<sub>2</sub> being greater than VO<sub>2</sub>, while end-tidal CO<sub>2</sub> levels are reduced (<xref ref-type="bibr" rid="ref28">Pallar&#x00E9;s et al., 2016</xref>). We reformulated the typical ExCO<sub>2</sub> concept [e.g.,(VCO<sub>2</sub><sup>2</sup>/VO<sub>2</sub>)&#x2212;VCO<sub>2</sub>)] (<xref ref-type="bibr" rid="ref38">Volkov et al., 1975</xref>; <xref ref-type="bibr" rid="ref13">Gaskill et al., 2001</xref>) to the ExVE form such as (VE<sup>2</sup>/VCO<sub>2</sub>)&#x2212;VE.</p>
<p><xref rid="fig2" ref-type="fig">Figure 2</xref> shows the code of the procedure how we generated the input data, how we applied the <italic>findchangepks</italic> function to detect each changepoint location, and how we finally determined VT<sub>1</sub> and VT<sub>2</sub>. For example, we specified &#x201C;Statistic&#x201D; as &#x201C;std&#x201D; because the &#x201C;std&#x201D; option detects a significant change that occurs while the standard deviation of input data distribution increases after ventilatory thresholds. Also, we specified &#x201C;MaxNumChanges&#x201D; as &#x201C;1&#x201D; to return the index of the most significant change point in the scattergrams (see green dashed lines in <xref rid="fig1" ref-type="fig">Figures 1A</xref>,<xref rid="fig1" ref-type="fig">B</xref>). The algorithm for searching might be more robust and less influenced by unexpected peak noise at the initial or end time range. It has been reported that VT<sub>1</sub> and VT<sub>2</sub> commonly lie at exercise intensities between 50 and 65% of VO<sub>2</sub> and between 75 and 87% of VO<sub>2</sub>, respectively (<xref ref-type="bibr" rid="ref1">Beaver et al., 1986</xref>; <xref ref-type="bibr" rid="ref28">Pallar&#x00E9;s et al., 2016</xref>; <xref ref-type="bibr" rid="ref6">Cerezuela-Espejo et al., 2018</xref>; <xref ref-type="bibr" rid="ref12">Gal&#x00E1;n-Rioja et al., 2020</xref>). Thus, it is recommended to use a specific range of the input signals only, for example, trimming half of the signal length (i.e., from 30th percentile to 80th percentile for VT<sub>1</sub>, from 50th percentile to 100th percentile for VT<sub>2</sub>).</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption><p>Code for the suggested approach.</p></caption>
<graphic xlink:href="fphys-12-782167-g002.tif"/>
</fig>
</sec>
<sec id="sec6">
<title>Visually Evaluated VT Values</title>
<p>For the validation study, three trained evaluators independently and randomly evaluated the graphs of the data to determine VT<sub>1</sub> and VT<sub>2</sub> values. For each determination, graphs were visually evaluated for the assessment of change in data distribution. Specifically, for VT<sub>1</sub>, evaluators assessed the intensity of activity that causes the first sustained rise in the VE/VO<sub>2</sub> without a concurrent rise in the ventilatory VE/VCO<sub>2</sub> (<xref rid="fig3" ref-type="fig">Figure 3A</xref>). The rise in VE/VO<sub>2</sub> is in concurrence with RER reaching 1.0. For VT<sub>2</sub>, evaluators assessed increase in both the VE/VO<sub>2</sub> and VE/VCO<sub>2</sub> (<xref rid="fig3" ref-type="fig">Figure 3B</xref>). This rise in VE/VO<sub>2</sub> and VE/VCO<sub>2</sub> is in concurrence with a decrease in PetCO<sub>2</sub> (5). A detailed protocol to maintain tight quality control over determination of VT<sub>1</sub> and VT<sub>2</sub> values was developed and included the following rules: (1) if, after concurrently viewing all graphs, an evaluator still thought that the VT value was indeterminate, then data for that subject were rejected. If the evaluators thought that data were usable, they then chose what they thought to be the most representative value. (2) The values determined by the three independent investigators were then compared by a fourth independent investigator. If the values determined by the evaluators were within 1 exercise stage (50&#x2009;W or less than 15%), then values for the 3 investigators were averaged. (3) If values were within 15% of either of the initial investigators, then the VT values were averaged. Comparison values greater than 15% were removed from the analysis. (4) The appearance time of VT needed to be after the 75&#x2009;W (after 4&#x2009;min) warm-up of the exercise test or the data were rejected and were considered to be indeterminate. The data reported for the visual identification method include only those participants whose data met all the criteria. Evaluators rejected 57 for VT<sub>1</sub> and 28 for VT<sub>2</sub> based on our criteria. For the accurate comparison between the visual analysis and the automated analysis, we only used the paired matches.</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption><p>Visual determination of VT<sub>1</sub> <bold>(A)</bold> and VT<sub>2</sub> <bold>(B)</bold>. The arrows designate the choice of VT<sub>1</sub> and VT<sub>2</sub> in these sample graphs from one subject.</p></caption>
<graphic xlink:href="fphys-12-782167-g003.tif"/>
</fig>
</sec>
<sec id="sec7">
<title>Statistical Analysis</title>
<p>Independent <italic>t</italic> tests were used when examining subject characteristics and sex comparison of exercise variables for VO<sub>2</sub>, W, HR, RER, and VE values at VT<sub>1</sub> and VT<sub>2</sub>.</p>
<p>The mean differences of the subjective analysis and the automated analysis were examined using independent t test to test for differences between measures. The Bland&#x2013;Altman analysis (<xref ref-type="bibr" rid="ref15">Giavarina, 2015</xref>) assessed the limits of agreement between VT<sub>1</sub> and VT<sub>2</sub>. Formal equivalence testing was conducted with the TOST approach with predefined equivalence bounds of &#x00B1;25 (<xref ref-type="bibr" rid="ref36">Schuirmann, 1987</xref>). The data were also analyzed by the intraclass correlation coefficients (ICC) to examine the relationships between the subjective analysis and the automated analysis.</p>
<p>For each subject, absolute VO<sub>2</sub>, relative VO<sub>2</sub>, W, HR, RER, and VE were determined at VT<sub>1</sub> (average of V-slope for VT<sub>1</sub> and ExCO<sub>2</sub> methods), VT<sub>2</sub> (average of V-slope for VT<sub>2</sub> and ExVE methods), and peak, a 2-way factorial ANOVA was then used to examine main effects and interactions (VT&#x2009;&#x00D7;&#x2009;Group) for the sex difference study. If significance was found, the appropriate Holm-Sidak multiple comparison <italic>post hoc</italic> test was performed.</p>
<p>Data were analyzed and figures generated using MATLAB R2020a (The MathWorks, Inc., Natick, MA, United States) and GraphPad Prism (version 8.4.3, La Jolla, CA, United States) with statistical significance set at <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05. Equivalence testing was conducted with the TOSTER package in the R statistical software (R: A Language and Environment for Statistical Computing, R Core Team, R Foundation for Statistical Computing, Vienna Austria, 2019).<xref rid="fn0001" ref-type="fn"><sup>1</sup></xref> All data are reported as mean&#x2009;&#x00B1;&#x2009;SD.</p>
</sec>
</sec>
<sec id="sec8" sec-type="results">
<title>Results</title>
<sec id="sec9">
<title>Subject Characteristics and Sex Comparison of Exercise Variables at VT<sub>1</sub> and VT<sub>2</sub></title>
<p>Males and females were matched for age but different for mass and height (<xref rid="tab1" ref-type="table">Table 1</xref>). Mean exercise variables for the overall subjects and sex difference are reported in <xref rid="tab2" ref-type="table">Table 2</xref>. At peak, VT<sub>1,</sub> and VT<sub>2</sub>, females had lower absolute O<sub>2</sub> uptake, W, and ventilation and relative O<sub>2</sub> uptake compared to men (<italic>p</italic>&#x2009;&#x2264;&#x2009;0.04). HRs and RERs were not different at peak exercise for either group. However, HRs and RERs were lower in the male group compared to the female group at VT<sub>1</sub> and VT<sub>2</sub> (<italic>p</italic>&#x2009;&#x2264;&#x2009;0.02).</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption><p>Mean values at peak, VT<sub>1</sub>, and VT<sub>2</sub>.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" colspan="3">Study</th>
<th align="center" valign="top">VO<sub>2</sub> (L/min)</th>
<th align="center" valign="top">VO<sub>2</sub> (ml/kg/min)</th>
<th align="center" valign="top">Work rate (W)</th>
<th align="center" valign="top">HR (beat/min)</th>
<th align="center" valign="top">RER (VO<sub>2</sub>:VCO<sub>2</sub>)</th>
<th align="center" valign="top">VE (L/min)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="4">Values at peak</td>
<td align="left" valign="middle" colspan="2">Overall</td>
<td align="center" valign="middle">3.3&#x2009;&#x00B1;&#x2009;0.9</td>
<td align="center" valign="middle">43.2&#x2009;&#x00B1;&#x2009;7.7</td>
<td align="center" valign="middle">303.3&#x2009;&#x00B1;&#x2009;76.4</td>
<td align="center" valign="middle">177&#x2009;&#x00B1;&#x2009;10</td>
<td align="center" valign="middle">1.28&#x2009;&#x00B1;&#x2009;0.08</td>
<td align="center" valign="middle">140.0&#x2009;&#x00B1;&#x2009;37.0</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">Male vs. Female</td>
<td align="left" valign="middle">Males</td>
<td align="center" valign="middle">3.8&#x2009;&#x00B1;&#x2009;0.6</td>
<td align="center" valign="middle">45.8&#x2009;&#x00B1;&#x2009;7.1</td>
<td align="center" valign="middle">339.9&#x2009;&#x00B1;&#x2009;48.4</td>
<td align="center" valign="middle">178&#x2009;&#x00B1;&#x2009;8</td>
<td align="center" valign="middle">1.29&#x2009;&#x00B1;&#x2009;0.07</td>
<td align="center" valign="middle">156.4&#x2009;&#x00B1;&#x2009;31.1</td>
</tr>
<tr>
<td align="left" valign="middle">Females</td>
<td align="center" valign="middle">2.4&#x2009;&#x00B1;&#x2009;0.4</td>
<td align="center" valign="middle">37.8&#x2009;&#x00B1;&#x2009;5.8</td>
<td align="center" valign="middle">225.9&#x2009;&#x00B1;&#x2009;66.5</td>
<td align="center" valign="middle">177&#x2009;&#x00B1;&#x2009;13</td>
<td align="center" valign="middle">1.28&#x2009;&#x00B1;&#x2009;0.09</td>
<td align="center" valign="middle">105.3&#x2009;&#x00B1;&#x2009;21.2</td>
</tr>
<tr>
<td align="left" valign="middle">value of <italic>P</italic></td>
<td align="center" valign="middle"><italic>&#x003C;0.0001</italic></td>
<td align="center" valign="middle"><italic>&#x003C;0.0001</italic></td>
<td align="center" valign="middle"><italic>&#x003C;0.0001</italic></td>
<td align="center" valign="middle">0.74</td>
<td align="center" valign="middle">0.48</td>
<td align="center" valign="middle"><italic>&#x003C;0.0001</italic></td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="4">Values at VT<sub>1</sub></td>
<td align="left" valign="middle" colspan="2">Overall</td>
<td align="center" valign="middle">1.9&#x2009;&#x00B1;&#x2009;0.5</td>
<td align="center" valign="middle">25.2&#x2009;&#x00B1;&#x2009;4.5</td>
<td align="center" valign="middle">156.2&#x2009;&#x00B1;&#x2009;43.9</td>
<td align="center" valign="middle">137&#x2009;&#x00B1;&#x2009;15</td>
<td align="center" valign="middle">0.99&#x2009;&#x00B1;&#x2009;0.06</td>
<td align="center" valign="middle">52.0&#x2009;&#x00B1;&#x2009;11.3</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">Male vs. Female</td>
<td align="left" valign="middle">Males</td>
<td align="center" valign="middle">2.1&#x2009;&#x00B1;&#x2009;0.4</td>
<td align="center" valign="middle">25.7&#x2009;&#x00B1;&#x2009;4.8</td>
<td align="center" valign="middle">172.3&#x2009;&#x00B1;&#x2009;39.8</td>
<td align="center" valign="middle">134&#x2009;&#x00B1;&#x2009;14</td>
<td align="center" valign="middle">1.00&#x2009;&#x00B1;&#x2009;0.05</td>
<td align="center" valign="middle">55.6&#x2009;&#x00B1;&#x2009;10.4</td>
</tr>
<tr>
<td align="left" valign="middle">Females</td>
<td align="center" valign="middle">1.6&#x2009;&#x00B1;&#x2009;0.3</td>
<td align="center" valign="middle">24.0&#x2009;&#x00B1;&#x2009;3.4</td>
<td align="center" valign="middle">120.2&#x2009;&#x00B1;&#x2009;28.9</td>
<td align="center" valign="middle">144&#x2009;&#x00B1;&#x2009;15</td>
<td align="center" valign="middle">0.97&#x2009;&#x00B1;&#x2009;0.08</td>
<td align="center" valign="middle">44.5&#x2009;&#x00B1;&#x2009;9.4</td>
</tr>
<tr>
<td align="left" valign="middle">value of <italic>P</italic></td>
<td align="center" valign="middle"><italic>&#x003C;0.0001</italic></td>
<td align="center" valign="middle"><italic>0.04</italic></td>
<td align="center" valign="middle"><italic>&#x003C;0.0001</italic></td>
<td align="center" valign="middle"><italic>&#x003C;0.01</italic></td>
<td align="center" valign="middle"><italic>0.02</italic></td>
<td align="center" valign="middle"><italic>&#x003C;0.0001</italic></td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="4">Values at VT<sub>2</sub></td>
<td align="left" valign="middle" colspan="2">Overall</td>
<td align="center" valign="middle">2.6&#x2009;&#x00B1;&#x2009;0.6</td>
<td align="center" valign="middle">33.3&#x2009;&#x00B1;&#x2009;6.3</td>
<td align="center" valign="middle">213.8&#x2009;&#x00B1;&#x2009;53.2</td>
<td align="center" valign="middle">155&#x2009;&#x00B1;&#x2009;17</td>
<td align="center" valign="middle">1.10&#x2009;&#x00B1;&#x2009;0.06</td>
<td align="center" valign="middle">77.0&#x2009;&#x00B1;&#x2009;15.3</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">Male vs. Female</td>
<td align="left" valign="middle">Males</td>
<td align="center" valign="middle">2.8&#x2009;&#x00B1;&#x2009;0.5</td>
<td align="center" valign="middle">34.3&#x2009;&#x00B1;&#x2009;6.3</td>
<td align="center" valign="middle">234.3&#x2009;&#x00B1;&#x2009;45.3</td>
<td align="center" valign="middle">151&#x2009;&#x00B1;&#x2009;17</td>
<td align="center" valign="middle">1.10&#x2009;&#x00B1;&#x2009;0.06</td>
<td align="center" valign="middle">82.2&#x2009;&#x00B1;&#x2009;13.7</td>
</tr>
<tr>
<td align="left" valign="middle">Females</td>
<td align="center" valign="middle">2.1&#x2009;&#x00B1;&#x2009;0.4</td>
<td align="center" valign="middle">31.3&#x2009;&#x00B1;&#x2009;6.0</td>
<td align="center" valign="middle">167.7&#x2009;&#x00B1;&#x2009;39.3</td>
<td align="center" valign="middle">162&#x2009;&#x00B1;&#x2009;13</td>
<td align="center" valign="middle">1.10&#x2009;&#x00B1;&#x2009;0.08</td>
<td align="center" valign="middle">65.8&#x2009;&#x00B1;&#x2009;12.1</td>
</tr>
<tr>
<td align="left" valign="middle">value of <italic>P</italic></td>
<td align="center" valign="middle"><italic>&#x003C;0.0001</italic></td>
<td align="center" valign="middle"><italic>0.01</italic></td>
<td align="center" valign="middle"><italic>&#x003C;0.0001</italic></td>
<td align="center" valign="middle"><italic>&#x003C;0.01</italic></td>
<td align="center" valign="middle">0.88</td>
<td align="center" valign="middle"><italic>&#x003C;0.0001</italic></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>VO<sub>2</sub>, volume of oxygen; HR, heart rate; RER, respiratory exchange ratio; VE, ventilation; VT, ventilatory threshold.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec10">
<title>Relative Exercise Intensities at VT<sub>1</sub> and VT<sub>2</sub></title>
<p>Exercise intensities at VT<sub>1</sub> and VT<sub>2</sub> relative to peak VO<sub>2</sub> and peak W for the combined analysis in all subjects and sex differences are reported in <xref rid="fig4" ref-type="fig">Figure 4</xref>. In the combined analysis, VT<sub>1</sub> occurred at 58% of peak VO<sub>2</sub> and VT<sub>2</sub> occurred at 79% of peak VO<sub>2</sub> (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.0001). Work rates at VT<sub>1</sub> and VT<sub>2</sub> were 50 and 69% of peak W (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.0001). For the sex difference comparison, VT<sub>1</sub> and VT<sub>2</sub> occurred at a greater relative percentage of their peak VO<sub>2</sub> for females (67 and 88%) compared to males (55 and 74%), main effect for group; <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001. However, no differences were found for group expressed as a relative percentage of peak W. Both sexes had VT<sub>1</sub> at 50% and VT<sub>2</sub> at 70% of peak W (<italic>p</italic>&#x2009;&#x2265;&#x2009;0.40).</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption><p>Exercise intensities at VT<sub>1</sub> and VT<sub>2</sub> relative to peak VO<sub>2</sub> and peak W for the combined analysis <bold>(A)</bold> and sex differences <bold>(B)</bold>. <sup>&#x002A;</sup>Indicates group main effect differences <italic>P</italic>&#x2009;&#x003C;&#x2009;0.001. &#x01C2; indicates significant main effect difference between VT<sub>1</sub> and VT<sub>2</sub> <italic>p</italic>&#x2009;&#x003C;&#x2009;0.0001. Data reported as means &#x00B1; SD.</p></caption>
<graphic xlink:href="fphys-12-782167-g004.tif"/>
</fig>
</sec>
<sec id="sec11">
<title>Comparison Between Visual and Automated</title>
<p>Independent <italic>t</italic> tests for the comparison between the subjective analysis and the automated analysis found no difference for VT<sub>1</sub> (<italic>p</italic>&#x2009;&#x003E;&#x2009;0.05) and VT<sub>2</sub> (<italic>p</italic>&#x2009;&#x003E;&#x2009;0.05). <xref rid="fig5" ref-type="fig">Figure 5</xref> illustrates the Bland&#x2013;Altman plot. Bias for VT<sub>1</sub> was 7.08&#x2009;&#x00B1;&#x2009;12.2&#x2009;W with the 95% Limits of Agreement from &#x2212;16.99 to 31.06&#x2009;W. Bias for VT<sub>2</sub> was &#x2212;2.2&#x2009;&#x00B1;&#x2009;12.7&#x2009;W with the 95% Limits of Agreement from &#x2212;27.0 to 22.7&#x2009;W. For VT<sub>1</sub> and VT<sub>2</sub> combined, the equivalence test was significant, <italic>t</italic>(132)&#x2009;=&#x2009;&#x2212;9.389, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.0001, given equivalence bounds of &#x2212;25 and 25 (on a raw scale) and an alpha of 0.05. For VT<sub>1</sub> and VT<sub>2</sub> individually, the equivalence tests also were significant, <italic>t</italic>(51)&#x2009;=&#x2009;&#x2212;4.513, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.0001 and <italic>t</italic>(80)&#x2009;=&#x2009;5.812, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.0001, respectively, given equivalence bounds of &#x2212;25 and 25 (on a raw scale) and an alpha of 0.05. Equivalence testing showed that the automated and visual measures were statistically equivalent (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.0001) in all ways, each VT<sub>1</sub> or VT<sub>2</sub> and combined. Finally, a high degree of reliability was found between the subjective analysis and the automated analysis. The ICC between the subjective analysis and the automated analysis were 0.821 for VT<sub>1</sub> and 0.830 for VT<sub>2</sub> with a 95% confidence interval.</p>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption><p>Bland&#x2013;Altman analysis between visual and automated method. <bold>(A)</bold> VT<sub>1</sub>, <bold>(B)</bold> VT<sub>2</sub>.</p></caption>
<graphic xlink:href="fphys-12-782167-g005.tif"/>
</fig>
</sec>
</sec>
<sec id="sec12" sec-type="discussions">
<title>Discussion</title>
<p>The advantages of a computerized method include faster, objective, and automated data analysis as well as improvements in reproducibility and repeatability. The aim of this study was to provide a novel, reliable, and computerized method for automatically identifying VT<sub>1</sub> and VT<sub>2</sub>. We demonstrated that our method was able to determine ventilatory thresholds comparable to the visual analysis accomplished by 3 trained evaluators. We also determined the associated work rates expressed as absolute and relative submaximal VO<sub>2</sub> and W and reported that sex differences exist for VT<sub>1</sub> and VT<sub>2</sub>.</p>
<p>Others have compared various computerized methods for determining VT<sub>1</sub> and demonstrated that regression-based methods provide considerably different results (<xref ref-type="bibr" rid="ref11">Ekkekakis et al., 2008</xref>). For example, VT<sub>1</sub> values detected by using 2 regression lines were significantly lower with weaker correlations compared to other computerized methods. Additionally, Pearson correlation coefficients in VO<sub>2</sub> (L/min) between ExCO<sub>2</sub> and V-slope for VT<sub>1</sub> were 0.517 and 0.526 (i.e., a moderate positive relationship) in each sample group. In this study, Pearson correlation coefficient in VO<sub>2</sub> (L/min) detected by ExCO<sub>2</sub> and V-slope for VT<sub>1</sub> using the parametric global optimization method was 0.81 (i.e., a strong positive linear relationship), which is a stronger correlation coefficient compared to using 2 regression lines (<xref ref-type="bibr" rid="ref11">Ekkekakis et al., 2008</xref>). We also found that the strong positive relationship for Pearson correlation coefficient between computerized methods for determining VT<sub>2</sub> (ExVE and V-slope for VT<sub>2</sub>) between ExVE and V-slope for VT<sub>2</sub> means that the parametric global optimization method. In support of these, we found no difference between the subjective visual method by 3 trained evaluators and our automated method. Our novel and automated protocol may increase the methodological consistency in both research and clinical practice.</p>
<p>It has been reported that maximal aerobic capacity is associated with VT<sub>1</sub> (59 to 65%) and VT<sub>2</sub> (84 to 87%) and that maximal lactate steady state corresponds to VT<sub>2</sub> (<xref ref-type="bibr" rid="ref28">Pallar&#x00E9;s et al., 2016</xref>; <xref ref-type="bibr" rid="ref6">Cerezuela-Espejo et al., 2018</xref>). We found that when comparing to peak work rate, VT<sub>1</sub> and VT<sub>2</sub> were associated with 50 and 70% of peak W, respectively. These differences may be because of age and fitness of our study participants&#x2019; steady state vs. progressive exercise test. When we examined the ventilatory points in relation to peak VO<sub>2</sub>, the female group had greater relative VO<sub>2</sub> associated with VT<sub>1</sub> (67%) and VT<sub>2</sub> (88%). <xref ref-type="bibr" rid="ref1">Beaver et al. (1986)</xref> reported that VT<sub>1</sub> occurred at 55% of peak VO<sub>2</sub> and VT<sub>2</sub> occurred at 75% of peak VO<sub>2</sub> (<xref ref-type="bibr" rid="ref1">Beaver et al., 1986</xref>) and a recent meta-analysis reported that VT<sub>1</sub> occurs at 50 to 60% of peak VO<sub>2</sub> (<xref ref-type="bibr" rid="ref12">Gal&#x00E1;n-Rioja et al., 2020</xref>). These values are similar to ours as we report the whole sample was at 58 and 79% of peakVO<sub>2</sub> for VT<sub>1</sub> and VT<sub>2</sub>, respectively. As noted earlier, these differences in VT<sub>2</sub> for the female group may be because of sensitivity of the carotid body ventilatory drive caused by body temperature, blood osmolarity, pH, K+, H<sup>+</sup> buffering by bicarbonate, and the change in partial pressure of O<sub>2</sub> (<xref ref-type="bibr" rid="ref12">Gal&#x00E1;n-Rioja et al., 2020</xref>).</p>
<p>It has been reported that microgravity affects females and males differently (<xref ref-type="bibr" rid="ref23">Mark et al., 2014</xref>). It is important to better understand these sex differences as the female representation in the astronaut corps is increasing, meaning more women will be eligible to fly in space than ever before. Under the microgravity environment, one of the sex-specific differences in exercise response is orthostatic intolerance caused by plasma volume loss and cardiovascular adjustments (<xref ref-type="bibr" rid="ref17">Goel et al., 2014</xref>). Females generally have smaller body size, lower absolute, and relative aerobic fitness and are weaker in upper and lower body strength, which have implications for risk of fatigue and injury from muscle strains during EVA and emergency egress (<xref ref-type="bibr" rid="ref18">Harm et al., 2001</xref>). Thus, understanding exercise countermeasures and the adaptations between sexes is of high relevance for the astronaut population. Our data are similar to others that report sex differences in gas exchange threshold for VT<sub>1</sub>. In this study, we also showed that VT<sub>2</sub> differences occurred between males and females. This may be because of differences in breathing adjustments to chemosensitivity, thermoregulation, and menstrual cycle hormones (<xref ref-type="bibr" rid="ref1">Beaver et al., 1986</xref>; <xref ref-type="bibr" rid="ref20">Kilbride et al., 2003</xref>; <xref ref-type="bibr" rid="ref19">Hayashi et al., 2012</xref>).</p>
<p>Others have suggested using exercise work rates above and below the ventilatory breakpoints for VT<sub>1</sub> and VT<sub>2</sub> for the prescription of exercise training to define exercise domains such as moderate, heavy-and severe exercise intensity domains (<xref ref-type="bibr" rid="ref1">Beaver et al., 1986</xref>; <xref ref-type="bibr" rid="ref27">Nattie and Li, 2012</xref>). This gives an individualized approach to prescribe exercise specific to the metabolic demands. Previous exercise training countermeasures during spaceflight or analogues have used a relative percentage of peak VO<sub>2</sub> (e.g., continuous cycle exercise for 30&#x2009;min at 75% of peak VO<sub>2</sub> and interval treadmill sessions of 30&#x2009;s to 4&#x2009;min at nearly maximal intensity; <xref ref-type="bibr" rid="ref25">Moore Jr et al., 2014</xref>; <xref ref-type="bibr" rid="ref30">Ploutz-Snyder et al., 2018</xref>). However, the responses to these exercise prescriptions still have high variability for maintaining fitness. For example, Moore et al. reported that astronauts who have higher initial aerobic capacities are more prone to loss of cardiorespiratory fitness; however, the reason is unknown and may be because of the frequency, intensity, time, and progression of the exercise prescription (<xref ref-type="bibr" rid="ref25">Moore et al., 2014</xref>). Our data suggest that sex should be considered when prescribing exercise countermeasures and the prescriptions could be further individualized by prescribing based on VT<sub>1</sub>, VT<sub>2</sub>, and peak VO<sub>2</sub>.</p>
<p>Notably, we acknowledge a limitation with our study. This includes not obtaining arterial lactate samples and blood gasses to confirm the metabolic and ventilation breakpoints. Further validation should include these measurements.</p>
</sec>
<sec id="sec13" sec-type="conclusions">
<title>Conclusion</title>
<p>In summary, the new automated method has been shown to identify inflection points in each of the variables used to reliably determine VT<sub>1</sub> and VT<sub>2</sub>. Furthermore, we show that sex influences the VT<sub>1</sub> and VT<sub>2</sub> in members of the US astronaut corps. Detection of both VT<sub>1</sub> and VT<sub>2</sub> and their associated absolute and relative work rates may provide valuable information regarding crewmembers&#x2019; ability to exercise on the ISS and to perform EVAs and lunar exploration. Lastly, accurately tracking fitness pre-, in-, and post-flight is of importance for guidance on the efficacy of exercise training prescriptions as countermeasures.</p>
</sec>
<sec id="sec15" sec-type="data-availability">
<title>Data Availability Statement</title>
<p>The datasets presented in this article are not readily available because the study dataset are not publicly available due to privacy laws and other restrictions. Requests to access the datasets should be directed to KK, <email>kyoungjae.kim@nasa.gov</email>.</p>
</sec>
<sec id="sec16">
<title>Ethics Statement</title>
<p>The studies involving human participants were reviewed and approved by NASA Johnson Space Center. The patients/participants provided their written informed consent to participate in this study.</p>
</sec>
<sec id="sec17">
<title>Author Contributions</title>
<p>KK: conceptualization, methodology, software, data curation, writing &#x2013; original draft, writing &#x2013; review and editing, and visualization. ER: methodology, validation, formal analysis, data curation, writing &#x2013; original draft, and writing &#x2013; review and editing. BP and DF: validation and writing &#x2013; review and editing. MY: validation, formal analysis, writing &#x2013; original draft, and writing &#x2013; review and editing. MD: investigation, resources, writing &#x2013; review and editing, supervision, project administration, and funding acquisition. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="sec41" sec-type="funding-information">
<title>Funding</title>
<p>This work was supported by the NASA Habitations System Account.</p>
</sec>
<sec id="conf1" sec-type="COI-statement">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="sec19" sec-type="disclaimer">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
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