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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.2021.775601</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>Comparison of V&#x0307;O<sub>2</sub>-Kinetic Parameters for the Management of Heart Failure</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Wagner</surname> <given-names>Jonathan</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x2020;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1051210/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Niemeyer</surname> <given-names>Max</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x2020;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/582582/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Infanger</surname> <given-names>Denis</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/729363/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Pfister</surname> <given-names>Otmar</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/630014/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Myers</surname> <given-names>Jonathan</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1455680/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Schmidt-Trucks&#x00E4;ss</surname> <given-names>Arno</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/405745/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Knaier</surname> <given-names>Raphael</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/432865/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Division of Sports and Exercise Medicine, Department of Sport, Exercise and Health, University of Basel</institution>, <addr-line>Basel</addr-line>, <country>Switzerland</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Medicine, Training and Health, Institute of Sports Science and Motologie, Philipps-University Marburg</institution>, <addr-line>Marburg</addr-line>, <country>Germany</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Cardiology, University Hospital Basel, University of Basel</institution>, <addr-line>Basel</addr-line>, <country>Switzerland</country></aff>
<aff id="aff4"><sup>4</sup><institution>Cardiology Division, Veterans Affairs (VA) Palo Alto Health Care System, Stanford University</institution>, <addr-line>Palo Alto, CA</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Carlo Vignati, Monzino Cardiology Center, Scientific Institute for Research, Hospitalization and Healthcare (IRCCS), Italy</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Giovanna Gallo, Sapienza University, Italy; Ilya Giverts, City Clinical Hospital No1 named after N.I. Pirogov, Russia</p></fn>
<corresp id="c001">&#x002A;Correspondence: Arno Schmidt-Trucks&#x00E4;ss, <email>arno.schmidt-trucksaess@unibas.ch</email></corresp>
<fn fn-type="equal" id="fn002"><p><sup>&#x2020;</sup>These authors have contributed equally to this work</p></fn>
<fn fn-type="other" id="fn004"><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>25</day>
<month>11</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>12</volume>
<elocation-id>775601</elocation-id>
<history>
<date date-type="received">
<day>14</day>
<month>09</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>20</day>
<month>10</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2021 Wagner, Niemeyer, Infanger, Pfister, Myers, Schmidt-Trucks&#x00E4;ss and Knaier.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Wagner, Niemeyer, Infanger, Pfister, Myers, Schmidt-Trucks&#x00E4;ss and Knaier</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>Objective:</bold> The aim of this study was to analyze whether V&#x0307;O<sub>2</sub>-kinetics during cardiopulmonary exercise testing (CPET) is a useful marker for the diagnosis of heart failure (HF) and to determine which V&#x0307;O<sub>2</sub>-kinetic parameter distinguishes healthy participants and patients with HF.</p>
<p><bold>Methods:</bold> A total of 526 healthy participants and 79 patients with HF between 20 and 90 years of age performed a CPET. The CPET was preceded by a 3-min low-intensity warm-up and followed by a 3-min recovery bout. V&#x0307;O<sub>2</sub>-kinetics was calculated from the rest to exercise transition of the warm-up bout (on-kinetics), from the exercise to recovery transition following ramp test termination (off-kinetics) and from the initial delay of V&#x0307;O<sub>2</sub> during the warm-up to ramp test transition (ramp-kinetics).</p>
<p><bold>Results:</bold> V&#x0307;O<sub>2</sub> off-kinetics showed the highest <italic>z</italic>-score differences between healthy participants and patients with HF. Furthermore, off-kinetics was strongly associated with V&#x0307;O<sub>2peak</sub>. In contrast, ramp-kinetics and on-kinetics showed only minimal <italic>z</italic>-score differences between healthy participants and patients with HF. The best on- and off-kinetic parameters significantly improved a model to predict the disease severity. However, there was no relevant additional value of V&#x0307;O<sub>2</sub>-kinetics when V&#x0307;O<sub>2peak</sub> was part of the model.</p>
<p><bold>Conclusion:</bold> V&#x0307;O<sub>2</sub> off-kinetics appears to be superior for distinguishing patients with HF and healthy participants compared with V&#x0307;O<sub>2</sub> on-kinetics and ramp-kinetics. If V&#x0307;O<sub>2peak</sub> cannot be determined, V&#x0307;O<sub>2</sub> off-kinetics provides an acceptable substitute. However, the additional value beyond that of V&#x0307;O<sub>2peak</sub> cannot be provided by V&#x0307;O<sub>2</sub>-kinetics.</p>
</abstract>
<kwd-group>
<kwd>V&#x0307;O<sub>2max</sub></kwd>
<kwd>V&#x0307;O<sub>2</sub>-kinetics</kwd>
<kwd>CRF</kwd>
<kwd>risk stratification</kwd>
<kwd>heart failure</kwd>
</kwd-group>
<contract-sponsor id="cn001">Schweizerischer Nationalfonds zur F&#x00F6;rderung der Wissenschaftlichen Forschung<named-content content-type="fundref-id">10.13039/501100001711</named-content></contract-sponsor>
<contract-sponsor id="cn002">Universit&#x00E4;t Basel<named-content content-type="fundref-id">10.13039/100008375</named-content></contract-sponsor>
<counts>
<fig-count count="3"/>
<table-count count="3"/>
<equation-count count="5"/>
<ref-count count="31"/>
<page-count count="11"/>
<word-count count="7409"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1" sec-type="intro">
<title>Introduction</title>
<p>The incidence and prevalence of heart failure (HF) are high and continue to increase in the developed world with aging of the population. Concomitant deaths and healthcare costs related to this syndrome are increasing (<xref ref-type="bibr" rid="B26">Virani et al., 2020</xref>). Accurate diagnostic and risk assessment methods for HF are essential to guide clinical decisions for therapeutic strategies with the ultimate goal of decreasing risk and improving health outcomes. Gas exchange variables obtained through cardiopulmonary exercise testing (CPET) are an established method for accurately stratifying risk in patients with HF; many CPET responses now have a substantial evidence base (<xref ref-type="bibr" rid="B27">Wagner et al., 2018</xref>). However, maximal CPET parameters can be difficult to interpret as they are highly dependent on subject effort (<xref ref-type="bibr" rid="B30">Wagner et al., 2020</xref>). As many patients with HF are not familiar with severe exercise intensities, pushing these patients to their physiological limit remains a challenge. Therefore, there have been many efforts to investigate submaximal markers such as oxygen uptake kinetics (V&#x0307;O<sub>2</sub>-kinetics) in patients with HF.</p>
<p>V&#x0307;O<sub>2</sub>-kinetics represent the rate at which generation of aerobic adenosine triphosphate (ATP) adjusts to changes in the exercise intensity (<xref ref-type="bibr" rid="B19">Poole and Jones, 2012</xref>). This parameter depends on the ability of the cardiovascular system to rapidly increase or decrease the oxygen supply to the working muscles (<xref ref-type="bibr" rid="B12">Kemps et al., 2009</xref>; <xref ref-type="bibr" rid="B2">Chatterjee et al., 2013</xref>) as well as on the ability of the muscles to rapidly utilize oxygen (<xref ref-type="bibr" rid="B31">Weiss et al., 2017</xref>). Therefore, V&#x0307;O<sub>2</sub>-kinetics can provide critical information regarding the regulating capacity of the cardiovascular system and the skeletal muscles to utilize oxygen (<xref ref-type="bibr" rid="B2">Chatterjee et al., 2013</xref>) and, thus, exercise intolerance and functional mobility (<xref ref-type="bibr" rid="B23">Sietsema et al., 1994</xref>; <xref ref-type="bibr" rid="B17">Pavia et al., 1999</xref>; <xref ref-type="bibr" rid="B9">Hummel et al., 2016</xref>).</p>
<p>Studies investigating whether V&#x0307;O<sub>2</sub>-kinetics is a useful marker for risk stratification in HF have reported conflicting findings (<xref ref-type="bibr" rid="B3">de Groote et al., 1996</xref>; <xref ref-type="bibr" rid="B14">Meyer et al., 1998</xref>; <xref ref-type="bibr" rid="B17">Pavia et al., 1999</xref>; <xref ref-type="bibr" rid="B15">Nanas et al., 2001</xref>; <xref ref-type="bibr" rid="B22">Schalcher et al., 2003</xref>; <xref ref-type="bibr" rid="B4">Fortin et al., 2015</xref>; <xref ref-type="bibr" rid="B9">Hummel et al., 2016</xref>). While some have reported that the prognostic value of V&#x0307;O<sub>2</sub>-kinetics is even superior to V&#x0307;O<sub>2peak</sub> (<xref ref-type="bibr" rid="B22">Schalcher et al., 2003</xref>; <xref ref-type="bibr" rid="B4">Fortin et al., 2015</xref>), others have reported only moderate or minimal additional value beyond V&#x0307;O<sub>2peak</sub> (<xref ref-type="bibr" rid="B3">de Groote et al., 1996</xref>; <xref ref-type="bibr" rid="B17">Pavia et al., 1999</xref>; <xref ref-type="bibr" rid="B9">Hummel et al., 2016</xref>). These conflicting results are likely caused by the fact that varying features of V&#x0307;O<sub>2</sub>-kinetics were analyzed (i.e., on-kinetics or off-kinetics), and different calculation approaches were used.</p>
<p>V&#x0307;O<sub>2</sub>-kinetics is traditionally measured by performing a constant load test. CPET using a ramp protocol is, however, the preferred method to perform an exercise test in the clinical setting (<xref ref-type="bibr" rid="B20">Ross et al., 2016</xref>). The current manuscript therefore focused only on the utility of V&#x0307;O<sub>2</sub>-kinetics during a ramp protocol. The aims of the study were (1) to analyze whether V&#x0307;O<sub>2</sub>-kinetics parameters obtained from a CPET can distinguish between healthy participants and cardiac patients with HF and between New York Heart Association (NYHA) functional classes; (2) to determine which V&#x0307;O<sub>2</sub>-kinetic parameter and which calculation are most useful; and (3) whether the most promising V&#x0307;O<sub>2</sub> on- and V&#x0307;O<sub>2</sub> off-kinetic parameter can add additional value to V&#x0307;O<sub>2peak</sub>.</p>
</sec>
<sec id="S2" sec-type="materials|methods">
<title>Materials and Methods</title>
<sec id="S2.SS1">
<title>Cohort and Recruitment</title>
<p>The COmPLETE-Study is a cross-sectional single-center study and consists of two parts, namely, COmPLETE-Health and COmPLETE-Heart. COmPLETE-Health included healthy men and women without any known exercise-limiting diseases between 20 and 90 years of age equally distributed across age decades and sex. COmPLETE-Heart included cardiac patients with stable HF with NYHA functional classes I&#x2013;III, with symptoms and signs stable for at least 1 month. Diagnosis of HF was confirmed by clinical history, physical examination, assessment of natriuretic peptide (NT-proBNP), and echocardiographically documented structural heart disease or diastolic dysfunction according to the European Society of Cardiology guidelines (<xref ref-type="bibr" rid="B18">Ponikowski et al., 2016</xref>). Details on recruitment procedures and complete inclusion and exclusion criteria can be found in the study protocol (<xref ref-type="bibr" rid="B28">Wagner et al., 2019</xref>).</p>
</sec>
<sec id="S2.SS2">
<title>Setting</title>
<p>The study was carried out at the Department of Sport, Exercise, and Health at the University of Basel, Switzerland, and was funded by the Swiss National Science Foundation (grant no. 182815). The study complies with the Declaration of Helsinki and was approved by the Ethics Committee of Northwestern and Central Switzerland (EKNZ 2017-01451). Written informed consent was obtained from all participants before the start of the study.</p>
</sec>
<sec id="S2.SS3">
<title>Acquisition of Participant Characteristics</title>
<p>Resting systolic and diastolic blood pressures were measured with the participant in the supine position using a non-invasive vascular screening system (VaSera VS-1500N; Fukuda Denshi, Tokyo, Japan). Physicians assessed medical history and medications by the questionnaire onsite. Based on clinical data, structured questions, and self-reported exercise tolerance, each patient with HF was assigned to an NYHA functional class by a physician who was blinded to both CPET results and laboratory data. Blood samples were drawn <italic>via</italic> venipuncture by trained medical staff in fasting state (at least 3 h). Samples were immediately centrifuged, the plasma aliquots were frozen at a temperature of &#x2212;80&#x00B0;C, and all samples were analyzed together after completion of the study.</p>
</sec>
<sec id="S2.SS4">
<title>Cardiopulmonary Exercise Testing</title>
<p>An exercise test to maximal voluntary exertion using an electromagnetically braked cycle ergometer (Ergoselect 200; Ergoline, Bitz, Germany) was performed according to one of the following five ramp protocols: (i) a 3-min warm-up either unloaded, a load of 10 or 20 W for protocols 1&#x2013;3, or a load of 50 W for protocols 4 and 5 followed by (ii) a ramp protocol with a linear workload increases of 7, 10, 15, 20, or 30 W/min for protocols 1&#x2013;5, respectively, followed by (iii) a 3-min recovery phase at the same workload as the warm-up. The protocol was chosen to achieve a duration of approximately 10 min.</p>
<p>Gas exchange and ventilatory variables were analyzed breath-by-breath continuously using a computer-based system (MetaMax 3B; Cortex Biophysik GmbH, Leipzig, Germany). Each test was preceded by a resting period of 3 min to reach steady-state conditions. In the absence of clinical symptoms or electrocardiographic abnormalities, all tests were continued until maximal exertion. Before and during the test, the participants were verbally encouraged to reach maximal exhaustion. Before each test, the equipment was calibrated in standard fashion with reference gas and known volume. V&#x0307;O<sub>2peak</sub> was defined as the highest 30 s average value during the CPET. The slope of ventilation vs. carbon dioxide consumption (V&#x0307;E/V&#x0307;CO<sub>2</sub> slope) was calculated from 1 min after beginning of the ramp test up to the respiratory compensation point. As recommended earlier (<xref ref-type="bibr" rid="B5">Gargiulo et al., 2014</xref>; <xref ref-type="bibr" rid="B21">Salvioni et al., 2020</xref>), we also calculated V&#x0307;O<sub>2peak</sub> and V&#x0307;E/V&#x0307;CO<sub>2</sub> slope expressed as percentage of the predicted values. For this purpose, we used our recently published data (<xref ref-type="bibr" rid="B29">Wagner et al., 2021</xref>), which are mainly based on the healthy cohort of the present study.</p>
</sec>
<sec id="S2.SS5">
<title>V&#x0307;O<sub>2</sub>-Kinetic Assessment</title>
<p><xref ref-type="fig" rid="F1">Figure 1</xref> displays the different methods used to determine V&#x0307;O<sub>2</sub>-kinetics. Initially, V&#x0307;O<sub>2</sub> was filtered by removing all outliers that differed more than three standard deviations from the local mean (moving average of six breaths). The filtered V&#x0307;O<sub>2</sub> values were then linearly interpolated to provide second-by-second values, as previously recommended (<xref ref-type="bibr" rid="B1">Benson et al., 2017</xref>). V&#x0307;O<sub>2</sub> on-kinetics was assessed from the rest to exercise transition of the 3-min constant load warm-up period. In accordance with earlier studies, we calculated the time constant of V&#x0307;O<sub>2</sub> on-kinetics by two different approaches:</p>
<list list-type="simple">
<list-item>
<label>(1)</label>
<p>&#x03C4; <italic>V&#x0307;O</italic><sub>2</sub> <italic>on-kinetics</italic>. A mono-exponential function was fit (see <xref ref-type="app" rid="app01">Appendix</xref> for the exact equation) from the beginning to the end of the warm-up period using non-linear least-squares method regression analyses (<xref ref-type="bibr" rid="B9">Hummel et al., 2016</xref>) (see Eq. 1 in <xref ref-type="app" rid="app01">Appendix</xref>).</p>
</list-item>
<list-item>
<label>(2)</label>
<p>&#x03C4; <italic>V&#x0307;O</italic><sub>2</sub> <italic>on-kinetics by V&#x0307;O</italic><sub>2</sub>-<italic>deficit</italic>. This was determined by the oxygen deficit and the steady-state increase of V&#x0307;O<sub>2</sub> above the resting value (<xref ref-type="bibr" rid="B23">Sietsema et al., 1994</xref>; <xref ref-type="bibr" rid="B22">Schalcher et al., 2003</xref>) (see Eq. 2 in <xref ref-type="app" rid="app01">Appendix</xref>).</p>
<p>V&#x0307;O<sub>2</sub> off-kinetics was assessed from the active recovery period that directly followed the incremental phase of the CPET. This was done using three different approaches:</p>
</list-item>
<list-item>
<label>(1)</label>
<p>&#x03C4; <italic>V&#x0307;O</italic><sub>2</sub> <italic>off-kinetics</italic>. Determined by the time constant of a mono-exponential function that was fitted from the beginning to the end of the recovery period using non-linear least-squares method regression analyses (<xref ref-type="bibr" rid="B3">de Groote et al., 1996</xref>; <xref ref-type="bibr" rid="B17">Pavia et al., 1999</xref>; <xref ref-type="bibr" rid="B9">Hummel et al., 2016</xref>) (see Eq. 3 in <xref ref-type="app" rid="app01">Appendix</xref>).</p>
</list-item>
<list-item>
<label>(2)</label>
<p><italic>Slope linear V&#x0307;O</italic><sub>2</sub> <italic>off-kinetics</italic>. Determined by the slope of a linear function that was fitted into the V&#x0307;O<sub>2</sub>&#x2013;time relationship of the first minute of recovery using linear least-squares method regression analyses (<xref ref-type="bibr" rid="B15">Nanas et al., 2001</xref>) (see Eq. 4 in <xref ref-type="app" rid="app01">Appendix</xref>).</p>
</list-item>
<list-item>
<label>(3)</label>
<p><italic>% rel V&#x0307;O</italic><sub>2</sub> <italic>reduction 60 s and 120 s post-test</italic>. Determined by the decrease in V&#x0307;O<sub>2</sub> from the end of the incremental phase up to the first (% rel V&#x0307;O<sub>2</sub> reduction 60 s post-test) and second minute (% rel V&#x0307;O<sub>2</sub> reduction 120 s post-test) expressed as percentages of V&#x0307;O<sub>2peak</sub> (<xref ref-type="bibr" rid="B4">Fortin et al., 2015</xref>).</p>
</list-item>
</list>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>Graphical illustration of all analyzed kinetic parameters. &#x03C4; <italic>V&#x0307;O</italic><sub>2</sub> <italic>on-kinetics by V&#x0307;O<sub>2</sub>-deficit</italic> was calculated by dividing the V&#x0307;O<sub>2</sub>-deficit by the amplitude (&#x0394;V&#x0307;O<sub>2ss</sub>) of the V&#x0307;O<sub>2</sub> response. V&#x0307;O<sub>2</sub>, oxygen uptake; &#x03C4;, tau; MRT, mean response time; rel, relative.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fphys-12-775601-g001.tif"/>
</fig>
<p>Ramp test kinetics were assessed from the initial delay of V&#x0307;O<sub>2</sub> at the beginning of the incremental exercise phase (mean response time; MRT), as previously described (<xref ref-type="bibr" rid="B14">Meyer et al., 1998</xref>; <xref ref-type="bibr" rid="B16">Niemeyer et al., 2020</xref>). For this purpose, the intersection between a horizontal line crossing the V&#x0307;O<sub>2</sub> of the final 30 s of the warm-up phase (V&#x0307;O<sub>2</sub> warm-up) and a straight line, which was fitted into the linear V&#x0307;O<sub>2</sub>-work rate response of the incremental phase was calculated (see Eq. 5 in <xref ref-type="app" rid="app01">Appendix</xref>).</p>
</sec>
<sec id="S2.SS6">
<title>Statistical Analysis</title>
<p>We investigated potential differences in V&#x0307;O<sub>2</sub>-kinetics variables between healthy participants and patients with HF using linear regression models, which were adjusted for age and sex. In detail, residual diagnostics were used to see whether the model assumptions were satisfied, and some kinetic parameters were subsequently log-transformed.</p>
<p>To investigate the associations between V&#x0307;O<sub>2</sub>-kinetic parameters and V&#x0307;O<sub>2peak</sub>, linear regression analyses with V&#x0307;O<sub>2peak</sub> as the dependent variable and age, sex, and the kinetic variables as independent variables were calculated. Separate models for each kinetic parameter were built. Therefore, we modeled age using restricted cubic splines (natural splines) with four knots included along with an interaction by sex to control for potential non-linear age progression (<xref ref-type="bibr" rid="B7">Harrell, 2015</xref>). For some models, the residuals exhibited heteroscedasticity, and we present robust <italic>p</italic>-values and confidence intervals for those models (HC3) (<xref ref-type="bibr" rid="B13">Long and Ervin, 2000</xref>).</p>
<p>Descriptive statistics were used to compare the V&#x0307;O<sub>2</sub>-kinetic variables between NYHA classes I, II, and III and the healthy participants. To achieve comparability, we first created a matched dataset where we matched two healthy participants to every patient with HF according to age and sex (2:1 matching). We used the R package &#x201C;MatchIt&#x201D; for these calculations (version 3.0.2) (<xref ref-type="bibr" rid="B8">Ho et al., 2011</xref>).</p>
<p>The age- and sex-specific quantile curves were calculated using healthy participants only and applying generalized additive models for location, scale, and shape (GAMLSS, R package version 5.1-6) (<xref ref-type="bibr" rid="B24">Stasinopoulos et al., 2017</xref>). The age trajectories were modeled using penalized B-splines (P-splines). We adopted the Bayesian information criterion to select the conditional distribution that offered the best compromise between model complexity and goodness-of-fit. The models were inspected using diagnostic residual plots such as worm plots (<xref ref-type="bibr" rid="B25">van Buuren and Fredriks, 2001</xref>) and Q&#x2013;Q plots. The <italic>z</italic>-scores of the patients with HF were calculated based on the established reference curves using the healthy participants.</p>
<p>Proportional odds ordinal logistic regressions were used to analyze whether the kinetic parameters with the largest mean difference in the <italic>z</italic>-scores added additional predictive information for disease severity (NYHA class). We used the unitless adequacy index to quantify the predictive information contained in V&#x0307;O<sub>2peak</sub>, age, and sex compared to the full set of predictors including the kinetic parameters (<xref ref-type="bibr" rid="B7">Harrell, 2015</xref>). An adequacy index near one indicates that V&#x0307;O<sub>2peak</sub>, age, and sex contain nearly all predictive information already, and that the kinetic parameters add little predictive information. We used likelihood ratio tests to assess whether the kinetic parameters improved the model fit. R version 3.6.1 or later (R Foundation for Statistical Computing, Vienna, Austria) was used for all analyses, and <italic>p</italic>-values &#x2264; 0.05 were considered statistically significant. All tests were two sided.</p>
</sec>
</sec>
<sec id="S3" sec-type="results">
<title>Results</title>
<sec id="S3.SS1">
<title>Participant Characteristics</title>
<p>A total of 526 healthy participants and 79 patients with HF (NYHA functional classes I&#x2013;III) were included in the study. All patients with HF were in stable condition; their etiologies were cardiomyopathy (<italic>n</italic> = 8), coronary artery disease (<italic>n</italic> = 60), pulmonary hypertension (<italic>n</italic> = 1), valvular regurgitation (<italic>n</italic> = 8), and valvular stenosis (<italic>n</italic> = 2). Thirty-five patients with HF had a preserved ejection fraction (&#x2265;50%), 15 patients with HF had mid-range ejection fraction (40&#x2013;49%), and 23 patients with HF had a reduced ejection fraction (&#x003C;40%) while the data of six patients with HF were missing. Participant characteristics are presented in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>Descriptive characteristics of the study population separated into healthy participants and patients with heart failure by NYHA functional classes.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td/>
<td valign="top" align="center" colspan="2">Healthy<hr/></td>
<td valign="top" align="center" colspan="2">Healthy controls<xref ref-type="table-fn" rid="t1fns1">&#x002A;</xref><hr/></td>
<td valign="top" align="center" colspan="2">NYHA I<hr/></td>
<td valign="top" align="center" colspan="2">NYHA II<hr/></td>
<td valign="top" align="center" colspan="2">NYHA III<hr/></td>
</tr>
<tr>
<td valign="top" align="left">Participants, no. (%)</td>
<td valign="top" align="center">N</td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">N</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">N</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">N</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">N</td>
<td valign="top" align="center">14</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Sex (m/f)</td>
<td/>
<td valign="top" align="center">275/251</td>
<td/>
<td valign="top" align="center">129/29</td>
<td/>
<td valign="top" align="center">35/2</td>
<td/>
<td valign="top" align="center">20/8</td>
<td/>
<td valign="top" align="center">9/5</td>
</tr>
<tr>
<td valign="top" align="left">Age (yr)</td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">54 &#x00B1; 19.6</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">65.9 &#x00B1; 13.7</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">65.4 &#x00B1; 13</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">64 &#x00B1; 14.3</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">72.9 &#x00B1; 10.7</td>
</tr>
<tr>
<td valign="top" align="left">Height (cm)</td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">171.6 &#x00B1; 9.2</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">173.9 &#x00B1; 9</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">174.8 &#x00B1; 6.6</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">172.1 &#x00B1; 8.3</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">168.4 &#x00B1; 9.1</td>
</tr>
<tr>
<td valign="top" align="left">Body mass (kg)</td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">69.9 &#x00B1; 11.6</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">74.8 &#x00B1; 11.8</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">85.9 &#x00B1; 14.1</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">84.5 &#x00B1; 16.4</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">78.4 &#x00B1; 18.4</td>
</tr>
<tr>
<td valign="top" align="left">BMI (kg/m<sup>2</sup>)</td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">23.7 &#x00B1; 2.7</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">24.7 &#x00B1; 2.8</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">28.1 &#x00B1; 4.0</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">28.3 &#x00B1; 4.0</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">27.7 &#x00B1; 6.6</td>
</tr>
<tr>
<td valign="top" align="left">Resting systolic BP (mmHg)</td>
<td valign="top" align="center">525</td>
<td valign="top" align="center">126.9 &#x00B1; 13.9</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">131.6 &#x00B1; 12.8</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">128 &#x00B1; 13.7</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">127.8 &#x00B1; 21.9</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">130.1 &#x00B1; 15.1</td>
</tr>
<tr>
<td valign="top" align="left">Resting diastolic BP (mmHg)</td>
<td valign="top" align="center">525</td>
<td valign="top" align="center">77.4 &#x00B1; 9.0</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">81.4 &#x00B1; 7.8</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">79.4 &#x00B1; 12.2</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">77.7 &#x00B1; 14.4</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">75.9 &#x00B1; 8.4</td>
</tr>
<tr>
<td valign="top" align="left">Left ventricular ejection fraction (%)</td>
<td/>
<td valign="top" align="center">n.a.</td>
<td/>
<td valign="top" align="center">n.a.</td>
<td valign="top" align="center">35</td>
<td valign="top" align="center">46.4 &#x00B1; 11.5</td>
<td valign="top" align="center">26</td>
<td valign="top" align="center">46.3 &#x00B1; 11.0</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">44.6 &#x00B1; 15.4</td>
</tr>
<tr>
<td valign="top" align="left">Etiology, ischemic, n (%)</td>
<td/>
<td valign="top" align="center">n.a.</td>
<td/>
<td valign="top" align="center">n.a.</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">28 (76)</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">21 (75)</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">11 (79)</td>
</tr>
<tr>
<td valign="top" colspan="11"><hr/></td>
</tr>
<tr>
<td valign="top" align="left" colspan="11"><bold>Medication, n (%)</bold></td>
</tr>
<tr>
<td valign="top" colspan="11"><hr/></td>
</tr>
<tr>
<td valign="top" align="left">Anti-hypertensives (%)</td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">46 (9)</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">25 (15)</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">36 (97)</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">25 (89)</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">14 (100)</td>
</tr>
<tr>
<td valign="top" align="left">Of which ACE/ARB (%)</td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">44 (8)</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">20 (13)</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">32 (86)</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">21 (75)</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">12 (86)</td>
</tr>
<tr>
<td valign="top" align="left">Beta-blockers (%)</td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">12 (2)</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">8 (5)</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">28 (76)</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">22 (79)</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">8 (57)</td>
</tr>
<tr>
<td valign="top" align="left">Anti-coagulants (%)</td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">20 (4)</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">13 (8)</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">33 (89)</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">24 (86)</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">12 (86)</td>
</tr>
<tr>
<td valign="top" align="left">Statins (%)</td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">22 (4)</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">14 (9)</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">31 (84)</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">20 (71)</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">11 (79)</td>
</tr>
<tr>
<td valign="top" align="left">Diuretics (%)</td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">18 (3)</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">10 (6)</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">18 (48)</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">14 (50)</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">9 (64)</td>
</tr>
<tr>
<td valign="top" align="left">Anti-diabetics (%)</td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">0 (0)</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">0 (0)</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">6 (16)</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">5 (17)</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">3 (21)</td>
</tr>
<tr>
<td valign="top" colspan="11"><hr/></td>
</tr>
<tr>
<td valign="top" align="left" colspan="11"><bold>Blood testing</bold></td>
</tr>
<tr>
<td valign="top" colspan="11"><hr/></td>
</tr>
<tr>
<td valign="top" align="left">HbA1c (mg/dL)</td>
<td valign="top" align="center">518</td>
<td valign="top" align="center">5.2 &#x00B1; 0.4</td>
<td valign="top" align="center">157</td>
<td valign="top" align="center">5.4 &#x00B1; 0.4</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">5.9 &#x00B1; 0.7</td>
<td valign="top" align="center">27</td>
<td valign="top" align="center">6.0 &#x00B1; 0.6</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">6.3 &#x00B1; 0.7</td>
</tr>
<tr>
<td valign="top" align="left">LDL cholesterol (mg/dL)</td>
<td valign="top" align="center">518</td>
<td valign="top" align="center">122.6 &#x00B1; 28.3</td>
<td valign="top" align="center">157</td>
<td valign="top" align="center">127.1 &#x00B1; 26.1</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">89.6 &#x00B1; 25.3</td>
<td valign="top" align="center">27</td>
<td valign="top" align="center">89.8 &#x00B1; 18.1</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">94.4 &#x00B1; 34.8</td>
</tr>
<tr>
<td valign="top" align="left">HDL cholesterol (mg/dL)</td>
<td valign="top" align="center">518</td>
<td valign="top" align="center">65.6 &#x00B1; 14.9</td>
<td valign="top" align="center">157</td>
<td valign="top" align="center">62.8 &#x00B1; 13.6</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">50.9 &#x00B1; 9</td>
<td valign="top" align="center">27</td>
<td valign="top" align="center">53.3 &#x00B1; 12.3</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">55.7 &#x00B1; 11.7</td>
</tr>
<tr>
<td valign="top" align="left">Total cholesterol (mg/dL)</td>
<td valign="top" align="center">518</td>
<td valign="top" align="center">220.2 &#x00B1; 42.3</td>
<td valign="top" align="center">157</td>
<td valign="top" align="center">227.2 &#x00B1; 39.6</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">168.8 &#x00B1; 41.3</td>
<td valign="top" align="center">27</td>
<td valign="top" align="center">172.4 &#x00B1; 30.5</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">177.7 &#x00B1; 54.4</td>
</tr>
<tr>
<td valign="top" align="left">Triglyceride (mg/dL)</td>
<td valign="top" align="center">518</td>
<td valign="top" align="center">117.4 &#x00B1; 62.2</td>
<td valign="top" align="center">157</td>
<td valign="top" align="center">127.6 &#x00B1; 54.4</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">140.1 &#x00B1; 88.3</td>
<td valign="top" align="center">27</td>
<td valign="top" align="center">155.8 &#x00B1; 109.4</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">103.5 &#x00B1; 30.2</td>
</tr>
<tr>
<td valign="top" align="left">NTproBNP (pg/mL)</td>
<td valign="top" align="center">518</td>
<td valign="top" align="center">121.4 &#x00B1; 209.6</td>
<td valign="top" align="center">157</td>
<td valign="top" align="center">108.3 &#x00B1; 93.8</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">543.3 &#x00B1; 573</td>
<td valign="top" align="center">27</td>
<td valign="top" align="center">580.0 &#x00B1; 802.2</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">821.1 &#x00B1; 655.5</td>
</tr>
<tr>
<td valign="top" colspan="11"><hr/></td>
</tr>
<tr>
<td valign="top" align="left" colspan="11"><bold>Performance</bold></td>
</tr>
<tr>
<td valign="top" colspan="11"><hr/></td>
</tr>
<tr>
<td valign="top" align="left">P<sub>max</sub> (W)</td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">203.2 &#x00B1; 84.0</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">200.3 &#x00B1; 80.6</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">153.1 &#x00B1; 44.0</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">116.1 &#x00B1; 44.7</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">81.7 &#x00B1; 30</td>
</tr>
<tr>
<td valign="top" align="left">V&#x0307;O<sub>2max</sub> absolute (L&#x002A;min<sup>&#x2013;1</sup>)</td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">2.4 &#x00B1; 0.8</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">2.4 &#x00B1; 0.8</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">2.0 &#x00B1; 0.5</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">1.7 &#x00B1; 0.6</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">1.2 &#x00B1; 0.3</td>
</tr>
<tr>
<td valign="top" align="left">V&#x0307;O<sub>2max</sub> relative (mL&#x002A;kg<sup>&#x2013;1</sup>&#x002A;min<sup>&#x2013;1</sup>)</td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">34.9 &#x00B1; 10.3</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">32.5 &#x00B1; 9.7</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">23.9 &#x00B1; 5.9</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">19.9 &#x00B1; 5.6</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">16.3 &#x00B1; 4.6</td>
</tr>
<tr>
<td valign="top" align="left">% predicted V&#x0307;O<sub>2max</sub> relative</td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">101.5 &#x00B1; 18.4</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">100.6 &#x00B1; 20.1</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">73.9 &#x00B1; 21.3</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">62.5 &#x00B1; 17.3</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">60.1 &#x00B1; 22.9</td>
</tr>
<tr>
<td valign="top" align="left">% predicted VE/VCO<sub>2</sub> slope</td>
<td valign="top" align="center">468</td>
<td valign="top" align="center">101.0 &#x00B1; 15.9</td>
<td valign="top" align="center">130</td>
<td valign="top" align="center">102.0 &#x00B1; 15.9</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">137.3 &#x00B1; 25.2</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">144.2 &#x00B1; 29.2</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">158.7 &#x00B1; 34.7</td>
</tr>
<tr>
<td valign="top" align="left">RER<sub><italic>max</italic></sub></td>
<td valign="top" align="center">526</td>
<td valign="top" align="center">1.17 &#x00B1; 0.08</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">1.14 &#x00B1; 0.08</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">1.09 &#x00B1; 0.08</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">1.06 &#x00B1; 0.07</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">1.04 &#x00B1; 0.08</td>
</tr>
<tr>
<td valign="top" align="left">HR<sub><italic>max</italic></sub> (bpm)</td>
<td valign="top" align="center">507</td>
<td valign="top" align="center">169.9 &#x00B1; 21.1</td>
<td valign="top" align="center">155</td>
<td valign="top" align="center">161.5 &#x00B1; 21.8</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">136.6 &#x00B1; 20.9</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">137.7 &#x00B1; 26.5</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">127.2 &#x00B1; 21.8</td>
</tr>
<tr>
<td valign="top" align="left">V&#x0307;O<sub>2</sub> reduction 60 s post-test (L/min)</td>
<td valign="top" align="center">506</td>
<td valign="top" align="center">0.74 &#x00B1; 0.37</td>
<td valign="top" align="center">154</td>
<td valign="top" align="center">0.69 &#x00B1; 0.34</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">0.46 &#x00B1; 0.25</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">0.42 &#x00B1; 0.27</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">0.23 &#x00B1; 0.19</td>
</tr>
<tr>
<td valign="top" align="left">V&#x0307;O<sub>2</sub> reduction 120 s post-test (L/min)</td>
<td valign="top" align="center">504</td>
<td valign="top" align="center">1.19 &#x00B1; 0.50</td>
<td valign="top" align="center">154</td>
<td valign="top" align="center">1.15 &#x00B1; 0.47</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">0.93 &#x00B1; 0.34</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">0.76 &#x00B1; 0.41</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">0.48 &#x00B1; 0.28</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p><italic>Data are presented as mean &#x00B1; standard deviation if not stated otherwise.</italic></p></fn>
<fn><p><italic>BMI, body mass index; BP, blood pressure; HR, heart rate; P<sub>max</sub>, maximal power; V&#x0307;O<sub>2max</sub>, maximal oxygen uptake; VE, volume of expiration; VCO<sub>2</sub>, carbon dioxide output; RER<sub>max</sub>, maximal respiratory exchange ratio; HR<sub>max</sub>, maximal heart rate; BL<sub>max</sub>, maximal blood lactate.</italic></p></fn>
<fn id="t1fns1"><p><italic>&#x002A;Two participants from the healthy cohort were matched to every patient with heart failure according to age and sex (2:1 matching).</italic></p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="S3.SS2">
<title>V&#x0307;O<sub>2</sub>-Kinetics in Health and Heart Failure</title>
<p>Group differences between healthy participants and patients with HF irrespective of their NYHA class are reported in <xref ref-type="table" rid="T2">Table 2</xref>. Six out of eight V&#x0307;O<sub>2</sub>-kinetic parameters showed evidence for a difference between the groups (<italic>p</italic> &#x2264; 0.007). The number of participants involved in the analysis of the respective kinetic parameter indicates the susceptibility to minor measurement difficulties during the CPET and the number of outliers due to the determination method which were excluded.</p>
<table-wrap position="float" id="T2">
<label>TABLE 2</label>
<caption><p>Group differences between healthy participants and patients with heart failure, <italic>Z</italic>-scores and the association with V&#x0307;O<sub>2peak</sub> for all kinetic parameters.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td/>
<td/>
<td valign="top" align="center" colspan="2">Group differences<xref ref-type="table-fn" rid="t2fns1">&#x002A;</xref> healthy and HF<hr/></td>
<td valign="top" align="center" colspan="3"><italic>Z</italic>-scores<hr/></td>
<td valign="top" align="center" colspan="3">Association with V&#x0307;O2peak<xref ref-type="table-fn" rid="t2fnd1"><sup>&#x2020;</sup></xref><hr/></td>
</tr>
<tr>
<td valign="top" align="left">Parameter</td>
<td valign="top" align="center">N<xref ref-type="table-fn" rid="t2fnd1"><sup>&#x2020;</sup></xref></td>
<td valign="top" align="center">Mean difference (95%-CI)</td>
<td valign="top" align="center"><italic>P</italic>-value</td>
<td valign="top" align="center">Healthy</td>
<td valign="top" align="center">HF</td>
<td valign="top" align="center">Mean difference healthy-HF (95% CI)</td>
<td valign="top" align="center">Coefficient estimate (95% CI)</td>
<td valign="top" align="center">Partial R<sup>2</sup></td>
<td valign="top" align="center"><italic>P</italic>-value</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">&#x03C4; V&#x0307;O<sub>2</sub> on-kinetics (s)</td>
<td valign="top" align="center">529</td>
<td valign="top" align="center">0.16 (0.04; 0.28)</td>
<td valign="top" align="center">0.007</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">0.48</td>
<td valign="top" align="center">&#x2212;0.48 (&#x2212;0.79; &#x2212;0.16)</td>
<td valign="top" align="center">&#x2212;0.01 (&#x2212;0.01; &#x2212;0.002)</td>
<td valign="top" align="center">0.04</td>
<td valign="top" align="center">0.005</td>
</tr>
<tr>
<td valign="top" align="left">&#x03C4; V&#x0307;O<sub>2</sub> on-kinetics by V&#x0307;O<sub>2</sub>-deficit (s)</td>
<td valign="top" align="center">541</td>
<td valign="top" align="center">0.07 (&#x2212;0.00; 0.15)</td>
<td valign="top" align="center">0.055</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">0.43</td>
<td valign="top" align="center">&#x2212;0.43 (&#x2212;0.78; &#x2212;0.09)</td>
<td valign="top" align="center">&#x2212;0.01 (&#x2212;0.01; &#x2212;0.003)</td>
<td valign="top" align="center">0.04</td>
<td valign="top" align="center">0.000</td>
</tr>
<tr>
<td valign="top" align="left">MRT ramp kinetics (s)</td>
<td valign="top" align="center">514</td>
<td valign="top" align="center">0.00 (&#x2212;0.13; 0.12)</td>
<td valign="top" align="center">0.963</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">0.02</td>
<td valign="top" align="center">0.02 (&#x2212;0.30; 0.26)</td>
<td valign="top" align="center">&#x2212;0.0003 (&#x2212;0.01; 0.0005)</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">0.899</td>
</tr>
<tr>
<td valign="top" align="left">&#x03C4; V&#x0307;O<sub>2</sub> off-kinetics (s)</td>
<td valign="top" align="center">558</td>
<td valign="top" align="center">0.17 (0.06; 0.27)</td>
<td valign="top" align="center">0.001</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">0.74</td>
<td valign="top" align="center">&#x2212;0.74 (&#x2212;1.04; &#x2212;0.43)</td>
<td valign="top" align="center">&#x2212;0.011 (&#x2212;0.015; &#x2212;0.008)</td>
<td valign="top" align="center">0.09</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">Slope linear V&#x0307;O<sub>2</sub> off-kinetics (ml/min/s)</td>
<td valign="top" align="center">567</td>
<td valign="top" align="center">4.96 (3.63; 6.30)</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">&#x2013;0.01</td>
<td valign="top" align="center">0.88</td>
<td valign="top" align="center">&#x2212;0.88 (&#x2212;1.15; &#x2212;0.62)</td>
<td valign="top" align="center">&#x2212;0.46 (&#x2212;0.51; &#x2212;0.41)</td>
<td valign="top" align="center">0.39</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">% rel V&#x0307;O<sub>2</sub> reduction 60 s post-test (%)</td>
<td valign="top" align="center">582</td>
<td valign="top" align="center">&#x2212;5.76 (&#x2212;7.94; &#x2212;3.59)</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">&#x2013;0.89</td>
<td valign="top" align="center">0.89 (0.59; 1.18)</td>
<td valign="top" align="center">0.37 (0.28; 0.46)</td>
<td valign="top" align="center">0.16</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
<tr>
<td valign="top" align="left">% rel V&#x0307;O<sub>2</sub> reduction 120 s post-test (%)</td>
<td valign="top" align="center">579</td>
<td valign="top" align="center">&#x2212;3.54 (&#x2212;5.84; &#x2212;1.23)</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">&#x2013;0.64</td>
<td valign="top" align="center">0.64 (0.29; 0.98)</td>
<td valign="top" align="center">0.34 (0.25; 0.44)</td>
<td valign="top" align="center">0.12</td>
<td valign="top" align="center">&lt;0.001</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p><italic>HF, heart failure; &#x03C4;, tau; MRT, mean response time; V&#x0307;O<sub>2</sub>, oxygen uptake; rel, relative.</italic></p></fn>
<fn id="t2fns1"><p><italic>&#x002A;Adjusted for age and sex.</italic></p></fn>
<fn id="t2fnd1"><p><italic><sup>&#x2020;</sup>Including data of healthy participants and patients with heart failure.</italic></p></fn>
</table-wrap-foot>
</table-wrap>
<p><xref ref-type="fig" rid="F2">Figure 2</xref> presents violin plots of all analyzed kinetic parameters for NYHA class I, II, and III and the age- and sex-matched healthy reference group. In addition to the kinetic parameters, violin plots were presented for CPET markers known to have high predictive value (<xref ref-type="bibr" rid="B27">Wagner et al., 2018</xref>) including V&#x0307;O<sub>2peak</sub>, OUES, and V&#x0307;E/V&#x0307;CO<sub>2</sub> slope for comparison.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>Comparison of VO<sub>2</sub> on-kinetic und VO<sub>2</sub> off-kinetic parameters between a healthy control group and patients with heart failure with NYHA functional classes I, II, and III. V&#x0307;O<sub>2peak</sub>, peak oxygen uptake; OUES, oxygen uptake efficiency slope; VE, volume of expiration; VCO<sub>2</sub>, carbon dioxide output; &#x03C4;, tau; MRT, mean response time; rel, relative.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fphys-12-775601-g002.tif"/>
</fig>
<p>The <italic>z</italic>-scores (<xref ref-type="table" rid="T2">Table 2</xref>) show that &#x03C4; <italic>V&#x0307;O</italic><sub>2</sub> <italic>on-kinetics</italic> was the best V&#x0307;O<sub>2</sub> on-kinetic parameter to discriminate between healthy participants and patients with HF. <italic>Slope linear V&#x0307;O</italic><sub>2</sub> <italic>off-kinetics (ml/min/s)</italic> and <italic>% rel V&#x0307;O</italic><sub>2</sub> <italic>reduction 60 s post-test</italic> performed best among the V&#x0307;O<sub>2</sub> off-kinetic parameters. These three parameters were therefore considered superior to the others, and further analyses were limited to these parameters.</p>
<p>Quantile curves for &#x03C4; <italic>V&#x0307;O</italic><sub>2</sub> <italic>on-kinetics, slope linear V&#x0307;O</italic><sub>2</sub> <italic>off-kinetics (ml/min/s)</italic>, and <italic>% rel V&#x0307;O</italic><sub>2</sub> <italic>reduction 60 s post-test</italic> are presented in <xref ref-type="fig" rid="F3">Figure 3</xref>. The quantile curves based on the healthy participants tend toward pathological numbers with increasing age. For the parameter &#x03C4; <italic>V&#x0307;O</italic><sub>2</sub> <italic>on-kinetics</italic>, 60% of the patients with HF were located above the 50th percentile. For the <italic>slope linear V&#x0307;O</italic><sub>2</sub> <italic>off-kinetics (ml/min/s)</italic>, 85% of the patients with HF were located below the 50th percentile, and for <italic>rel V&#x0307;O</italic><sub>2</sub> <italic>reduction 60 s post-test</italic>, 78% were located above the 50th percentile.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>Quantile curves for &#x03C4; <italic>VO<sub>2</sub> on-kinetics, slope linear VO<sub>2</sub> off-kinetics (ml/min/s)</italic>, and <italic>% rel VO<sub>2</sub> reduction 60 s post-test</italic> for males and females, separately. The quantile curves are based on the healthy participants only (light blue data points). Values of the patients with heart failure are presented in orange. V&#x0307;O<sub>2</sub>, oxygen uptake.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fphys-12-775601-g003.tif"/>
</fig>
</sec>
<sec id="S3.SS3">
<title>Association of V&#x0307;O<sub>2</sub>-Kinetics and V&#x0307;O<sub>2peak</sub></title>
<p>There was strong evidence for associations between V&#x0307;O<sub>2peak</sub> (ml/kg/min) and all V&#x0307;O<sub>2</sub> on- and off-kinetics parameter except for <italic>MRT ramp kinetics</italic> in which there was no evidence for such an association observed (<xref ref-type="table" rid="T2">Table 2</xref>, last three columns). The direction of the association can be described as follows: the faster the V&#x0307;O<sub>2</sub>-kinetic response (depending on the parameter, a positive or negative association) the higher the V&#x0307;O<sub>2peak</sub> values are observed. By far, the largest adjusted R<sup>2</sup> was observed for the <italic>slope linear V&#x0307;O</italic><sub>2</sub> <italic>off-kinetics (ml/min/s)</italic>.</p>
</sec>
<sec id="S3.SS4">
<title>Predicting Disease Severity (New York Heart Association-Classification) Using Kinetic Parameters</title>
<p><xref ref-type="table" rid="T3">Table 3</xref> shows the results of several models for NYHA class prediction by kinetic parameters. All kinetic parameters improved the model when the base model contained sex and age. As indicated by the Chi<sup>2</sup>, <italic>slope linear V&#x0307;O</italic><sub>2</sub> <italic>off-kinetics (ml/min/s)</italic> improved the model from the three kinetic parameters most but not to the extent that V&#x0307;O<sub>2peak</sub> did.</p>
<table-wrap position="float" id="T3">
<label>TABLE 3</label>
<caption><p>Predicting disease severity (NYHA functional class) using V&#x0307;O<sub>2</sub> kinetic parameters.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Base model</td>
<td valign="top" align="center">Additional variable</td>
<td valign="top" align="center">Adequacy of base model</td>
<td valign="top" align="center">Likelihood ratio test</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Sex, age</td>
<td valign="top" align="center">&#x03C4; V&#x0307;O<sub>2</sub> on-kinetics (s)</td>
<td valign="top" align="center">0.88</td>
<td valign="top" align="center">&#x03C7;<sup>2</sup>(1) = 7.87, <italic>p</italic> = 0.005</td>
</tr>
<tr>
<td valign="top" align="left">Sex, age</td>
<td valign="top" align="center">% rel V&#x0307;O<sub>2</sub> reduction 60 s post-test</td>
<td valign="top" align="center">0.54</td>
<td valign="top" align="center">&#x03C7;<sup>2</sup>(1) = 53.81, <italic>p</italic> &#x003C; 0.001</td>
</tr>
<tr>
<td valign="top" align="left">Sex, age</td>
<td valign="top" align="center">Slope linear V&#x0307;O<sub>2</sub> off-kinetics (ml/min/s)</td>
<td valign="top" align="center">0.51</td>
<td valign="top" align="center">&#x03C7;<sup>2</sup>(1) = 56.15, <italic>p</italic> &#x003C; 0.001</td>
</tr>
<tr>
<td valign="top" align="left">Sex, age</td>
<td valign="top" align="center">V&#x0307;O<sub>2peak</sub></td>
<td valign="top" align="center">0.27</td>
<td valign="top" align="center">&#x03C7;<sup>2</sup>(1) = 176.82, <italic>p</italic> &#x003C; 0.001</td>
</tr>
<tr>
<td valign="top" colspan="4"><hr/></td>
</tr>
<tr>
<td valign="top" align="left" colspan="4"><bold>Additional value</bold></td>
</tr>
<tr>
<td valign="top" colspan="4"><hr/></td>
</tr>
<tr>
<td valign="top" align="left">V&#x0307;O<sub>2peak</sub>, sex, age</td>
<td valign="top" align="center">&#x03C4; V&#x0307;O<sub>2</sub> on-kinetics (s)</td>
<td valign="top" align="center">0.98</td>
<td valign="top" align="center">&#x03C7;<sup>2</sup>(1) = 5.36, <italic>p</italic> = 0.02</td>
</tr>
<tr>
<td valign="top" align="left">V&#x0307;O2<sub>peak</sub>, sex, age</td>
<td valign="top" align="center">% rel V&#x0307;O<sub>2</sub> reduction 60 s post-test</td>
<td valign="top" align="center">0.99</td>
<td valign="top" align="center">&#x03C7;<sup>2</sup>(1) = 0.54, <italic>p</italic> = 0.46</td>
</tr>
<tr>
<td valign="top" align="left">V&#x0307;O<sub>2peak</sub>, sex, age</td>
<td valign="top" align="center">Slope linear V&#x0307;O<sub>2</sub> off-kinetics (ml/min/s)</td>
<td valign="top" align="center">0.99</td>
<td valign="top" align="center">&#x03C7;<sup>2</sup>(1) = 0.46, <italic>p</italic> = 0.50</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p><italic>NYHA class, New York Heart Association-Classification; V&#x0307;O<sub>2</sub>, oxygen uptake; &#x03C4;, tau; rel, relative.</italic></p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="S3.SS5">
<title>Additional Value of Kinetics to Predict Disease Severity</title>
<p>There was little evidence that any of the three kinetic parameters improved the models already containing sex, age, and V&#x0307;O<sub>2peak</sub>. The adequacy index comparing the base models containing age, sex, and V&#x0307;O<sub>2peak</sub> to a model additionally containing the kinetic parameters was between 0.98 and 0.99. This means that the base models without the V&#x0307;O<sub>2</sub> kinetic parameters contain nearly all the predictive information already.</p>
</sec>
</sec>
<sec id="S4" sec-type="discussion">
<title>Discussion</title>
<p>To our knowledge, the current study is the first to provide detailed V&#x0307;O<sub>2</sub> kinetic results in large cohorts of healthy participants and patients with HF. All previously suggested methods to calculate V&#x0307;O<sub>2</sub> on- and off-kinetics for risk stratification using a standard ramp protocol were analyzed and compared. Our results show that the V&#x0307;O<sub>2</sub> off-kinetics according to <italic>rel V&#x0307;O</italic><sub>2</sub> <italic>reduction 60 s post-test (%)</italic> or <italic>slope linear V&#x0307;O</italic><sub>2</sub> <italic>off-kinetics (ml/min/s)</italic> present an alternative to evaluate aerobic function and disease severity if V&#x0307;O<sub>2peak</sub> cannot be determined. Additional value beyond that of V&#x0307;O<sub>2peak</sub> for risk stratification of patients with HF was not provided by V&#x0307;O<sub>2</sub> on- or off-kinetics.</p>
<sec id="S4.SS1">
<title>Differences Between Healthy Participants and Patients With Heart Failure</title>
<p>This study provides evidence that V&#x0307;O<sub>2</sub>-kinetic parameters differ between healthy participants and a group of mild to moderate functionally impaired patients with HF for all kinetic calculation methods with the exception of &#x03C4; <italic>V&#x0307;O</italic><sub>2</sub> <italic>on-kinetics by V&#x0307;O<sub>2</sub>-deficit</italic> and <italic>MRT of the ramp kinetics</italic>. The observed differences are in line with previous findings showing that patients with HF had significantly slower V&#x0307;O<sub>2</sub>-kinetics compared to healthy volunteers (<xref ref-type="bibr" rid="B23">Sietsema et al., 1994</xref>; <xref ref-type="bibr" rid="B14">Meyer et al., 1998</xref>; <xref ref-type="bibr" rid="B17">Pavia et al., 1999</xref>; <xref ref-type="bibr" rid="B9">Hummel et al., 2016</xref>). The slowing of V&#x0307;O<sub>2</sub>-kinetics in HF is closely related to impaired ventricular-pulmonary vascular function (<xref ref-type="bibr" rid="B12">Kemps et al., 2009</xref>; <xref ref-type="bibr" rid="B2">Chatterjee et al., 2013</xref>) and/or impaired peripheral oxygen utilization (<xref ref-type="bibr" rid="B31">Weiss et al., 2017</xref>).</p>
<p>Mean differences in <italic>z</italic>-scores (<xref ref-type="table" rid="T2">Table 2</xref>) clearly indicate that V&#x0307;O<sub>2</sub> off-kinetics, irrespective of the calculation method, discriminate better between healthy participants and patients with HF compared to V&#x0307;O<sub>2</sub> on-kinetics.</p>
<p>These results are in line with previous research showing that off-kinetics can be determined with greater fidelity (<xref ref-type="bibr" rid="B12">Kemps et al., 2009</xref>) and higher reproducibility (<xref ref-type="bibr" rid="B11">Kemps et al., 2007</xref>) than on-kinetics in patients with HF. Further, irrespective of the methodological difficulties with on-kinetics, off-kinetics may discriminate patients with HF better from their healthy counterparts as has been observed in a previous study (<xref ref-type="bibr" rid="B23">Sietsema et al., 1994</xref>).</p>
<p>The comparison between the off-kinetics parameters (different calculation approaches) revealed a higher potential to distinguish healthy participants and patients with HF for % <italic>rel V&#x0307;O<sub>2</sub> reduction 60 s post-test</italic> and <italic>slope linear V&#x0307;O<sub>2</sub> off-kinetics</italic> compared to % <italic>rel V&#x0307;O<sub>2</sub> reduction 120 s post-test</italic> and &#x03C4; <italic>V&#x0307;O</italic><sub>2</sub> <italic>off-kinetics</italic>. Interestingly, both superior off-kinetics parameters were determined from the first minute of the recovery period only, while the other parameters were calculated from the first 2 min (<italic>% rel V&#x0307;O</italic><sub>2</sub> <italic>reduction 120 s post-test</italic>) or the entire recovery duration (&#x03C4; <italic>V&#x0307;O</italic><sub>2</sub> <italic>off-kinetics</italic>). This indicates that the very early phase of the off transition better distinguished between healthy participants and patients with HF.</p>
</sec>
<sec id="S4.SS2">
<title>Association With V&#x0307;O<sub>2 peak</sub></title>
<p>Strong significant associations between V&#x0307;O<sub>2peak</sub> and off-kinetics were observed. <italic>Slope linear V&#x0307;O</italic><sub>2</sub> <italic>off-kinetics</italic> explained 39% of the variation in V&#x0307;O<sub>2peak</sub> among healthy participants and patients with HF. In contrast, V&#x0307;O<sub>2</sub> on-kinetics showed significant but only weak associations with V&#x0307;O<sub>2peak</sub>; the on-kinetics parameter &#x03C4; V&#x0307;O<sub>2</sub> (s) explained only 4% of the variation in V&#x0307;O<sub>2peak</sub>. The stronger association of the off-kinetics compared to the on-kinetics can likely be explained by the methodological considerations of the on-kinetics described above.</p>
<p>A recent study showed that the level of exhaustion had no impact on V&#x0307;O<sub>2</sub> off-kinetics (<xref ref-type="bibr" rid="B10">Ichikawa et al., 2020</xref>). That the determination of V&#x0307;O<sub>2</sub>-kinetics, unlike V&#x0307;O<sub>2peak</sub>, does not require the subject to perform the test to maximal voluntary exertion is a large advantage. Many patients lack the motivation to perform a maximal exercise test, are not familiarized with severe exercise, or may have a contraindication to maximal exertion (<xref ref-type="bibr" rid="B6">Green and Askew, 2018</xref>). In contrast, the successful determination of V&#x0307;O<sub>2peak</sub> requires either a V&#x0307;O<sub>2</sub>-plateau or a confirmation of a secondary exhaustion criteria (<xref ref-type="bibr" rid="B30">Wagner et al., 2020</xref>). Considering the large existing evidence base for the valuable information V&#x0307;O<sub>2</sub>-kinetics provides coupled with the present results, V&#x0307;O<sub>2</sub> off-kinetics can be suggested as potential substitute for V&#x0307;O<sub>2peak</sub>.</p>
</sec>
<sec id="S4.SS3">
<title>Predicting Disease Severity</title>
<p>The ability of a model to predict health status and disease severity of the patients with HF improved significantly when the V&#x0307;O<sub>2</sub> on-kinetic parameter (&#x03C4; <italic>V&#x0307;O</italic><sub>2</sub> <italic>on-kinetics</italic>) and the V&#x0307;O<sub>2</sub> off-kinetic parameter (<italic>% rel V&#x0307;O</italic><sub>2</sub> <italic>reduction 60 s post-test</italic>) were added. However, only V&#x0307;O<sub>2</sub> off-kinetics added substantial information to the model. Thus, V&#x0307;O<sub>2</sub> off-kinetics could be a tool to discriminate not only between healthy participants and those with mild functional impairment (NYHA class I) but also between NYHA classes as visualized by <xref ref-type="fig" rid="F2">Figure 2</xref>. Our results are in line with previous studies showing the potential of V&#x0307;O<sub>2</sub>-kinetics for risk stratification (<xref ref-type="bibr" rid="B22">Schalcher et al., 2003</xref>; <xref ref-type="bibr" rid="B4">Fortin et al., 2015</xref>) but are in contrast to others who did not demonstrate better predictive value by the addition of V&#x0307;O<sub>2</sub> off-kinetics (<xref ref-type="bibr" rid="B3">de Groote et al., 1996</xref>; <xref ref-type="bibr" rid="B17">Pavia et al., 1999</xref>; <xref ref-type="bibr" rid="B9">Hummel et al., 2016</xref>).</p>
<p>Since we could already show the association with V&#x0307;O<sub>2peak</sub>&#x2014;considered the gold standard criteria for risk stratification&#x2014;another established parameter, NYHA functional class, was used to stratify risk in patients with HF. Based on the different underlining physiological aspects represented by V&#x0307;O<sub>2peak</sub> and V&#x0307;O<sub>2</sub>-kinetics (<xref ref-type="bibr" rid="B23">Sietsema et al., 1994</xref>; <xref ref-type="bibr" rid="B2">Chatterjee et al., 2013</xref>), some additional predictive value of V&#x0307;O<sub>2</sub>-kinetics could be expected. However, our results showed minimal evidence of additional value of V&#x0307;O<sub>2</sub> on- or off-kinetics. Two reasons likely explain these results: (i) V&#x0307;O<sub>2peak</sub> is already a very strong risk predictor in patients with HF and the association of V&#x0307;O<sub>2peak</sub> and NYHA class is already known to be high and (ii) V&#x0307;O<sub>2</sub>-kinetics are likely to provide the same predictive information as V&#x0307;O<sub>2peak</sub>, which is underscored by the association between V&#x0307;O<sub>2</sub> off-kinetics and V&#x0307;O<sub>2<italic>peak</italic></sub> in this study. Therefore, even though we observed that V&#x0307;O<sub>2</sub>-kinetics has predictive value, it does not appear to have value beyond V&#x0307;O<sub>2peak</sub>.</p>
</sec>
<sec id="S4.SS4">
<title>Practical Applications</title>
<p>Our results indicate that the method of quantifying V&#x0307;O<sub>2</sub>-kinetics is critical to its clinical application. They suggest that the determination of V&#x0307;O<sub>2</sub> on-kinetics from rest to a light constant load phase is not optimal; rather, the results favor the analysis of off-kinetics when using a ramp protocol. The calculation of <italic>rel V&#x0307;O</italic><sub>2</sub> <italic>reduction 60 s post-test (%)</italic> or <italic>slope linear V&#x0307;O</italic><sub>2</sub> <italic>off-kinetics (ml/min/s)</italic> is recommended to distinguish between healthy individuals and patients with HF. Since V&#x0307;O<sub>2</sub> off-kinetics is not affected by the level of exhaustion (<xref ref-type="bibr" rid="B10">Ichikawa et al., 2020</xref>), these parameters might be used as a substitute for V&#x0307;O<sub>2peak</sub> when maximal exhaustion is not reached or when V&#x0307;O<sub>2peak</sub> cannot be interpreted.</p>
<p>Using some basic spreadsheet calculation tools, the calculation of <italic>rel V&#x0307;O</italic><sub>2</sub> <italic>reduction 60 s post-test (%)</italic> and <italic>slope linear V&#x0307;O</italic><sub>2</sub> <italic>off-kinetics (ml/min/s)</italic> are quite simple (see <xref ref-type="app" rid="app01">Appendix</xref>). To facilitate the routine application of V&#x0307;O<sub>2</sub> off-kinetics in the clinical setting, we recommend that the incorporation of these parameters in CPET application software.</p>
</sec>
</sec>
<sec id="S5">
<title>Limitations</title>
<p>Our study has limitations. The study was cross-sectional, and therefore no hard endpoints such as mortality or hospitalization were available. Furthermore, our HF cohort is predominantly represented by male ischemic patients with mildly reduced left ventricular ejection fraction and comparatively preserved exercise capacity as suggested by their mean values of V&#x0307;O<sub>2</sub> peak. This may not fully reflect the real-world HF population, which partly limits the transferability of our findings. To further improve the reliability and validity of the V&#x0307;O<sub>2</sub> on- and off-kinetics determination, a warm-up and a cool-down phase of 5 min instead of 3 min could be applied.</p>
</sec>
<sec id="S6" sec-type="conclusion">
<title>Conclusion</title>
<p>Differences in V&#x0307;O<sub>2</sub>-kinetics between healthy participants and patients with HF are observed and are highly dependent on how they are calculated. V&#x0307;O<sub>2</sub> off-kinetics appears to be superior for distinguishing patients with HF and healthy participants compared with V&#x0307;O<sub>2</sub> on-kinetics and ramp-kinetics. If V&#x0307;O<sub>2peak</sub> cannot be determined, V&#x0307;O<sub>2</sub> off-kinetics provides an acceptable substitute. However, additional value beyond that of V&#x0307;O<sub>2peak</sub> cannot be provided by V&#x0307;O<sub>2</sub>-kinetics.</p>
</sec>
<sec id="S7" sec-type="data-availability">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="S8">
<title>Ethics Statement</title>
<p>The studies involving human participants were reviewed and approved by the Ethics Committee of Northwestern and Central Switzerland (EKNZ 2017-01451). The patients/participants provided their written informed consent to participate in this study.</p>
</sec>
<sec id="S9">
<title>Author Contributions</title>
<p>JW, MN, JM, RK, DI, and AS-T: conception and design of the research and analysis and interpretation of the data. JW and RK: acquisition of data. DI: statistical analysis. AS-T and RK: obtaining funding and supervising the work. JW and MN: drafting the manuscript. DI, JM, OP, AS-T, and RK: critical revision of the manuscript for important intellectual content. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<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="pudiscl1" 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>
<sec id="S10" sec-type="funding-information">
<title>Funding</title>
<p>This study was supported by the National Fund of Switzerland (Grant number: 182815) and the Department of Sport, Exercise and Health of the University of Basel, Division of Sports and Exercise Medicine, Switzerland.</p>
</sec>
<ack>
<p>The authors thank all healthy participants and patients who made this study possible by their participation. They also gratefully acknowledge the assistance from Karsten K&#x00F6;nigstein, Christopher Klenk, and Justin Carrard by performing the medical examinations.</p>
</ack>
<app-group>
<app id="app01">
<title>Appendix</title>
<sec id="app01.SS1">
<title>V&#x0307;O<sub>2</sub>-Kinetic Calculation</title>
<p>V&#x0307;O<sub>2</sub> on-kinetics:</p>
<p>(1) &#x03C4; <italic>V&#x0307;O</italic><sub>2</sub> <italic>on-kinetics</italic>.</p>
<disp-formula id="S12.E1"><label>(1)</label><mml:math id="M1"><mml:mrow><mml:mrow><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo>.</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:mrow><mml:mrow><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo>.</mml:mo></mml:mover><mml:msub><mml:mi>O</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>r</mml:mi><mml:mi>e</mml:mi><mml:mi>s</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x25B3;</mml:mi><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo>.</mml:mo></mml:mover><mml:msub><mml:mi>O</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>S</mml:mi><mml:mi>S</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>&#x22C5;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mrow><mml:mi>e</mml:mi><mml:mi>x</mml:mi><mml:msup><mml:mi>p</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mfrac><mml:mi>t</mml:mi><mml:mi mathvariant="normal">&#x03C4;</mml:mi></mml:mfrac></mml:mrow></mml:msup></mml:mrow></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mrow></mml:mrow></mml:math></disp-formula>
<p>where V&#x0307;O<sub>2rest</sub> was defined as the mean of the final 60 s of the resting period preceding the warm-up. &#x0394;V&#x0307;O<sub>2SS</sub> was the steady-state increase of V&#x0307;O<sub>2</sub> above V&#x0307;O<sub>2rest</sub> and &#x03C4; the time constant of the overall response. &#x03C4; thereby includes the cardio-dynamic and the primary component of V&#x0307;O<sub>2</sub> on-transient kinetics and is equivalent to that what previously has been also called mean response time (MRT) of square wave exercise.</p>
<p>(2) &#x03C4; <italic>V&#x0307;O</italic><sub>2</sub> <italic>on-kinetics by V&#x0307;O</italic><sub>2</sub>-<italic>deficit</italic>.</p>
<disp-formula id="S12.E2"><label>(2)</label><mml:math id="M2"><mml:mrow><mml:mi mathvariant="normal">&#x03C4;</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>V</mml:mi><mml:mpadded width="+5pt"><mml:msub><mml:mi>O</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mpadded><mml:mi>d</mml:mi><mml:mi>e</mml:mi><mml:mi>f</mml:mi><mml:mi>i</mml:mi><mml:mi>c</mml:mi><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x25B3;</mml:mi><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo>.</mml:mo></mml:mover><mml:msub><mml:mi>O</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>S</mml:mi><mml:mi>S</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>
<p>where &#x0394;V&#x0307;O<sub>2SS</sub> was previously calculated from the mean V&#x0307;O<sub>2</sub> of the final 30 s of the warm-up period. The V&#x0307;O<sub>2</sub>-deficit was calculated from the difference between the consumed V&#x0307;O<sub>2</sub> and the V&#x0307;O<sub>2</sub>-demand, which was calculated by multiplying &#x0394;V&#x0307;O<sub>2SS</sub> with the duration of the warm-up period (for further details see: <xref ref-type="bibr" rid="B22">Schalcher et al., 2003</xref>).</p>
<p>V&#x0307;O<sub>2</sub> off-kinetics:</p>
<p>(1) &#x03C4; <italic>V&#x0307;O</italic><sub>2</sub> <italic>off-kinetics</italic>.</p>
<disp-formula id="S12.E3"><label>(3)</label><mml:math id="M3"><mml:mrow><mml:mrow><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo>.</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:mrow><mml:mrow><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo>.</mml:mo></mml:mover><mml:msub><mml:mi>O</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>r</mml:mi><mml:mi>e</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow><mml:mrow><mml:mi mathvariant="normal">&#x25B3;</mml:mi><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo>.</mml:mo></mml:mover><mml:msub><mml:mi>O</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>S</mml:mi><mml:mi>S</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>&#x22C5;</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>e</mml:mi><mml:mi>x</mml:mi><mml:msup><mml:mi>p</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mfrac><mml:mi>t</mml:mi><mml:mi mathvariant="normal">&#x03C4;</mml:mi></mml:mfrac></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mrow></mml:mrow></mml:math></disp-formula>
<p>where V&#x0307;O<sub>2rec</sub> was defined as the asymptotic value of the recovery response. &#x0394;V&#x0307;O<sub>2SS</sub> was the steady-state decrease of V&#x0307;O<sub>2</sub> above V&#x0307;O<sub>2<italic>rec</italic></sub> and &#x03C4; the time constant of the overall response.</p>
<p>(2) <italic>Slope linear V&#x0307;O</italic><sub>2</sub> <italic>off-kinetics</italic>.</p>
<disp-formula id="S12.E4"><label>(4)</label><mml:math id="M4"><mml:mrow><mml:mrow><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo>.</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:mrow><mml:mrow><mml:mpadded width="+5pt"><mml:mi>a</mml:mi></mml:mpadded><mml:mi>t</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mi>b</mml:mi></mml:mrow></mml:mrow></mml:math></disp-formula>
<p>where a represents the slope and b the intercept of the linear V&#x0307;O<sub>2</sub>&#x2013;time relationship.</p>
</sec>
<sec id="app01.SS2">
<title>Mean Response Time Ramp Test</title>
<disp-formula id="S12.E5"><label>(5)</label><mml:math id="M5"><mml:mrow><mml:mrow><mml:mi>M</mml:mi><mml:mi>R</mml:mi><mml:mpadded width="+5pt"><mml:mi>T</mml:mi></mml:mpadded><mml:mi>r</mml:mi><mml:mi>a</mml:mi><mml:mi>m</mml:mi><mml:mpadded width="+5pt"><mml:mi>p</mml:mi></mml:mpadded><mml:mi>t</mml:mi><mml:mi>e</mml:mi><mml:mi>s</mml:mi><mml:mi>t</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mrow><mml:mover accent="true"><mml:mi>V</mml:mi><mml:mo>.</mml:mo></mml:mover><mml:msub><mml:mi>O</mml:mi><mml:mrow><mml:mrow><mml:mpadded width="+5pt"><mml:mn>2</mml:mn></mml:mpadded><mml:mi>w</mml:mi><mml:mi>a</mml:mi><mml:mi>r</mml:mi><mml:mi>m</mml:mi></mml:mrow><mml:mo>-</mml:mo><mml:mrow><mml:mi>u</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mo rspace="7.5pt">-</mml:mo><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>a</mml:mi><mml:mo mathvariant="italic" separator="true">&#x2003;</mml:mo><mml:mi>S</mml:mi></mml:mrow></mml:mfrac><mml:mo>-</mml:mo><mml:mfrac><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mrow><mml:mi>w</mml:mi><mml:mi>a</mml:mi><mml:mi>r</mml:mi><mml:mi>m</mml:mi></mml:mrow><mml:mo>-</mml:mo><mml:mrow><mml:mi>u</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mi>S</mml:mi></mml:mfrac></mml:mrow></mml:mrow></mml:math></disp-formula>
<p>where V&#x0307;O<sub>2 warm&#x2013;up</sub> and P<sub>warm&#x2013;up</sub> are defined as the V&#x0307;O<sub>2</sub> and the work rate of the warm-up phase preceding the incremental phase. a and b represent the slope and the intercept of the V&#x0307;O<sub>2</sub>&#x2013;work rate relationship of the incremental phase. S is defined as the ramp slope. The V&#x0307;O<sub>2</sub> work rate slope was previously calculated using linear least-squares method regression analyses. To avoid any effects of a non-linear V&#x0307;O<sub>2</sub> response due to the initial lag of V&#x0307;O<sub>2</sub> or a potential plateau, the first minute and the last 2 min were excluded for the calculation.</p>
</sec>
</app>
</app-group>
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