{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T08:57:25Z","timestamp":1780995445837,"version":"3.54.1"},"reference-count":29,"publisher":"PeerJ","license":[{"start":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T00:00:00Z","timestamp":1780963200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:sec>\n                    <jats:title>Background<\/jats:title>\n                    <jats:p>\n                      The standard method for determining the noninvasive anaerobic threshold (AT) is the V-slope (VS) method. It is often supplemented by the ventilatory equivalent (VEQ) and end-tidal (ET) methods. However, a comparison issue arises: VS plots VCO\n                      <jats:sub>2<\/jats:sub>\n                      against VO\n                      <jats:sub>2<\/jats:sub>\n                      (\n                      <jats:italic>x<\/jats:italic>\n                      -axis), whereas VEQ and ET conventionally plot each variable against elapsed exercise time. This study aimed to develop a time-based VS graph to align all three methods on the same\n                      <jats:italic>x<\/jats:italic>\n                      -axis.\n                    <\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec>\n                    <jats:title>Methods<\/jats:title>\n                    <jats:p>\n                      V-slope is drawn as a square with equal sides, with the diagonal line representing the respiratory exchange ratio (R) = 1. V-slope generally follows the R = 1 line. This provides a framework in which the vertical difference (d) between a VCO\n                      <jats:sub>2<\/jats:sub>\n                      data point and the corresponding point on the R = 1 line may be used and plotted against time; that is, d equals the measured VCO2 minus VCO2 on the R = 1 line. Since VCO2 equals VO2 on the R = 1 line, d equals VCO\n                      <jats:sub>2<\/jats:sub>\n                      \u2013VO\n                      <jats:sub>2<\/jats:sub>\n                      . This new measure, d (mL\/min, VCO2), combines the relation between VCO2 and VO2 into a single value, which now can be plotted against time. In this graph the diagonal of the conventional V-slope (R = 1) becomes the horizontal\n                      <jats:italic>x<\/jats:italic>\n                      -axis (time). The plot using this modification of VS identifies AT as the first upward inflection point against a flat baseline. Data from 127 subjects (age: 51\u00a0\u00b1\u00a021; 66 healthy, 20 treated for cardiovascular risk factors, 41 with cardiac disease) who underwent maximal symptom-limited exercise were analyzed. Each of the four AT methods (d, VS, VEQ, ET) was independently assessed in a blinded manner. Reliability was evaluated using Altman\u2019s coefficient of repeatability (CR). Statistical comparison of variability of each detection method was performed after the squared difference was log transformed because the data was not normally distributed.\n                    <\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec>\n                    <jats:title>Results<\/jats:title>\n                    <jats:p>\n                      The mean AT (mL\/min) and detection rates for d, VS, VEQ, and ET were 857\u00a0\u00b1\u00a0414 (93%), 939\u00a0\u00b1\u00a0407 (96%), 946\u00a0\u00b1\u00a0176 (82%), and 862\u00a0\u00b1\u00a0379 (85%), respectively. The d method identified AT significantly earlier than the conventional VS did (\n                      <jats:italic>p<\/jats:italic>\n                      \u00a0&lt;\u00a00.001). The CR of d, VS, VEQ, and ET was 117, 115, 152, and 175 mL\/min, respectively. The mean squared difference of d method was significantly smaller than those of VS, VEQ or ET (\n                      <jats:italic>p<\/jats:italic>\n                      \u00a0&lt;\u00a00.001), indicating improved reliability of AT detection by d. The collective reviewing of all three time-aligned graphs (d, VEQ, ET) revealed that delayed or suppressed ventilatory responses to CO\n                      <jats:sub>2<\/jats:sub>\n                      (d\n                      <jats:italic>vs<\/jats:italic>\n                      VEQ) in 48 subjects (38%).\n                    <\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec>\n                    <jats:title>Conclusions<\/jats:title>\n                    <jats:p>The time-based V-slope was created by plotting changes in VCO2 from the R = 1 diagonal line against time; it aligned all three AT detecting methods on the same time axis, allowing precise detection of differences between methods. It also made AT detection more reliable, probably because the upward inflection breakpoint arises from the flat baseline and does not have the overlapping data points seen in V-slope, making it easier to identify a breakpoint. The d graph also identified AT significantly earlier than V-slope did.<\/jats:p>\n                  <\/jats:sec>","DOI":"10.7717\/peerj.20847","type":"journal-article","created":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T08:00:30Z","timestamp":1780992030000},"page":"e20847","source":"Crossref","is-referenced-by-count":0,"title":["Time-based V-slope for determination of anaerobic threshold"],"prefix":"10.7717","volume":"14","author":[{"given":"Hirotaka","family":"Nishijima","sequence":"first","affiliation":[{"name":"Department of Cardiology and Cardiac Rehabilitation, Aisin Memorial Hospital, Sapporo, Hokkaido, Japan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kazuyuki","family":"Kominami","sequence":"additional","affiliation":[{"name":"Department of Cardiology and Cardiac Rehabilitation, Aisin Memorial Hospital, Sapporo, Hokkaido, Japan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Toko","family":"Katsuragawa","sequence":"additional","affiliation":[{"name":"Department of Cardiology and Cardiac Rehaboilitation, Kitano Hospital, Sapporo, Hokkaido, Japan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Masatoshi","family":"Akino","sequence":"additional","affiliation":[{"name":"Department of Cardiology, Sapporo Kiyota Hospital, Sapporo, Hokkaido, Japan"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"4443","published-online":{"date-parts":[[2026,6,9]]},"reference":[{"key":"10.7717\/peerj.20847\/ref-1","doi-asserted-by":"publisher","first-page":"475","DOI":"10.1016\/j.bja.2017.11.071","article-title":"Inter-observer reliability of preoperative cardiopulmonary exercise test interpretation: a cross-sectional study","volume":"120","author":"Abbott","year":"2018","journal-title":"British Journal of Anaesthesia"},{"issue":"2","key":"10.7717\/peerj.20847\/ref-2","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1164\/rccm.167.2.211","article-title":"ATS\/ACCP statement on cardiopulmonary exercise testing","volume":"167","author":"American Thoracic Society","year":"2003","journal-title":"American Journal of Respiratory and Critical Care Medicine"},{"issue":"2","key":"10.7717\/peerj.20847\/ref-3","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1161\/CIR.0b013e3181e52e69","article-title":"Clinician\u2019s guide to cardiopulmonary exercise testing in adults: a scientific statement from the American Heart Association","volume":"122","author":"Balady","year":"2010","journal-title":"Circulation"},{"issue":"6","key":"10.7717\/peerj.20847\/ref-4","doi-asserted-by":"publisher","first-page":"2020","DOI":"10.1152\/jappl.1986.60.6.2020","article-title":"A new method for detecting anaerobic threshold by gas exchange","volume":"60","author":"Beaver","year":"1986","journal-title":"Journal of Applied Physiology"},{"key":"10.7717\/peerj.20847\/ref-5","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1016\/S0140-6736(86)90837-8","article-title":"Statistical methods for assessing agreement between two methods of clinical measurement","volume":"327","author":"Bland","year":"1986","journal-title":"Lancet"},{"issue":"5","key":"10.7717\/peerj.20847\/ref-6","doi-asserted-by":"publisher","first-page":"1184","DOI":"10.1152\/jappl.1982.53.5.1184","article-title":"A comparison of gas exchange indices used to detect the anaerobic threshold","volume":"53","author":"Caiozzo","year":"1982","journal-title":"Journal of Applied Physiology: Respiratory, Environmental and Exercise Physiology"},{"key":"10.7717\/peerj.20847\/ref-7","first-page":"396","article-title":"A systematic method to detect the metabolic threshold from gas exchange during incremental exercise","volume":"16","author":"Dolezal","year":"2017","journal-title":"Journal of Sports Science and Medicine"},{"key":"10.7717\/peerj.20847\/ref-8","doi-asserted-by":"publisher","first-page":"210","DOI":"10.1249\/MSS.0000000000000770","article-title":"Reliability of the determination of the ventilatory threshold in patients with COPD","volume":"48","author":"Dub\u00e9","year":"2016","journal-title":"Medicine and Science in Sports and Exercise"},{"issue":"11","key":"10.7717\/peerj.20847\/ref-9","doi-asserted-by":"publisher","first-page":"2662","DOI":"10.1183\/09031936.97.10112662","article-title":"Clinical exercise testing with reference to lung diseases: indications, standardization and interpretation strategies","volume":"10","author":"ERS Task Force on Standardization of Clinical Exercise Testing. European Respiratory Society","year":"1997","journal-title":"European Respiratory Journal"},{"key":"10.7717\/peerj.20847\/ref-10","doi-asserted-by":"publisher","first-page":"2662","DOI":"10.1183\/09031936.97.10112662","article-title":"Clinical exercise testing with reference to lung diseases: indications, standardization and interpretation strategies","volume":"10","author":"European Respiratory Society: ERS Task Force on Standardization of Clinical Exercise Testing","year":"1997","journal-title":"European Respiratory Journal"},{"issue":"11","key":"10.7717\/peerj.20847\/ref-11","doi-asserted-by":"publisher","first-page":"1841","DOI":"10.1097\/00005768-200111000-00007","article-title":"Validity and reliability of combining three methods to determine ventilatory threshold","volume":"33","author":"Gaskill","year":"2001","journal-title":"Medicine and Science in Sports and Exercise"},{"issue":"1","key":"10.7717\/peerj.20847\/ref-12","doi-asserted-by":"publisher","first-page":"230","DOI":"10.1093\/eurjpc\/zwab007","article-title":"Exercise intensity assessment and prescription in cardiovascular rehabilitation and beyond: why and how: a position statement from the secondary prevention and rehabilitation section of the European Association of Preventive Cardiology","volume":"29","author":"Hansen","year":"2022","journal-title":"European Journal of Preventive Cardiology"},{"issue":"2","key":"10.7717\/peerj.20847\/ref-13","doi-asserted-by":"publisher","first-page":"466","DOI":"10.1249\/MSS.0000000000002147","article-title":"Critical evaluation of current methods for exercise prescription in women and men","volume":"52","author":"Iannetta","year":"2020","journal-title":"Medicine and Science in Sports and Exercise"},{"key":"10.7717\/peerj.20847\/ref-14","doi-asserted-by":"publisher","first-page":"606","DOI":"10.1152\/jappl.1961.16.4.606","article-title":"Respiratory quotient during exercise","volume":"16","author":"Issekutz\u00a0Jr","year":"1961","journal-title":"Journal of Applied Physiology"},{"key":"10.7717\/peerj.20847\/ref-15","doi-asserted-by":"publisher","first-page":"20","DOI":"10.1186\/s40248-019-0183-6","article-title":"Interobserver variability of ventilatory anaerobic threshold in asymptomatic volunteers","volume":"14","author":"Kaczmarek","year":"2019","journal-title":"Multidisciplinary Respiratory Medicine"},{"key":"10.7717\/peerj.20847\/ref-16","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1016\/j.resp.2015.07.005","article-title":"CO2 pulse and acid\u2013base status during increasing work rate exercise in health and disease","volume":"218","author":"Kisaka","year":"2015","journal-title":"Respiration Physiology & Neurobiology"},{"key":"10.7717\/peerj.20847\/ref-17","doi-asserted-by":"publisher","DOI":"10.64898\/2025.12.05.25341675","article-title":"Changes in ventilatory anaerobic threshold over time: how does the observer\u2019s years of experience judging AT affect the results?","author":"Minagawa","year":"2025","journal-title":"MedRxiv"},{"issue":"1","key":"10.7717\/peerj.20847\/ref-18","doi-asserted-by":"publisher","first-page":"76","DOI":"10.1016\/j.cardfail.2009.08.009","article-title":"The ventilatory anaerobic threshold in heart failure: a multicenter evaluation of reliability","volume":"16","author":"Myers","year":"2010","journal-title":"The Journal of Cardiac Failure"},{"key":"10.7717\/peerj.20847\/ref-19","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1186\/s13102-019-0122-z","article-title":"New method for the mathematical derivation of the ventilatory anaerobic threshold: a retrospective study","volume":"11","author":"Nishijima","year":"2019","journal-title":"BMC Sports Science, Medicine and Rehabilitation"},{"key":"10.7717\/peerj.20847\/ref-20","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1186\/s13102-017-0073-1","article-title":"Quantification and physiological significance of the rightward shift of the V-slope during incremental cardiopulmonary exercise testing","volume":"9","author":"Nishijima","year":"2017","journal-title":"BMC Sports Science, Medicine and Rehabilitation"},{"issue":"4","key":"10.7717\/peerj.20847\/ref-21","first-page":"289","article-title":"Peak oxygen uptake, ventilatory threshold and leg extension power in apparently healthy Japanese","volume":"46","author":"Ohta","year":"1999","journal-title":"Nihon Koshu Eisei Zasshi (Japanese Journal of Public Health)"},{"issue":"3","key":"10.7717\/peerj.20847\/ref-22","doi-asserted-by":"publisher","first-page":"737","DOI":"10.1113\/JP279963","article-title":"The anaerobic threshold: 50+ years of controversy","volume":"599","author":"Poole","year":"2021","journal-title":"Journal de Physiologie"},{"issue":"2","key":"10.7717\/peerj.20847\/ref-23","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1016\/0002-8703(91)91009-c","article-title":"The ventilatory threshold: method, protocol, and evaluator agreement","volume":"122","author":"Shimizu","year":"1991","journal-title":"American Heart Journal"},{"issue":"5","key":"10.7717\/peerj.20847\/ref-24","doi-asserted-by":"publisher","first-page":"931","DOI":"10.1378\/chest.94.5.931","article-title":"Metabolic acidosis during exercise in patients with chronic obstructive pulmonary disease. Use of the V-slope method for anaerobic threshold determination","volume":"94","author":"Sue","year":"1988","journal-title":"Chest"},{"issue":"8","key":"10.7717\/peerj.20847\/ref-25","doi-asserted-by":"publisher","first-page":"e0309427","DOI":"10.1371\/journal.pone.0309427","article-title":"From data to decision: machine learning determination of aerobic and anaerobic thresholds in athletes","volume":"19","author":"Tomaszewski","year":"2024","journal-title":"PLOS ONE"},{"key":"10.7717\/peerj.20847\/ref-26","doi-asserted-by":"publisher","first-page":"2123","DOI":"10.1213\/ANE.0000000000002924","article-title":"Agreement analysis: what he said, she said versus you said","volume":"126","author":"Vetter","year":"2018","journal-title":"Anesthesia and Analgesia"},{"key":"10.7717\/peerj.20847\/ref-27","first-page":"84","volume-title":"Principles of exercise testing and interpretation: including pathophysiology and clinical applications","author":"Wasserman","year":"2012","edition":"5"},{"issue":"4","key":"10.7717\/peerj.20847\/ref-28","doi-asserted-by":"publisher","first-page":"448","DOI":"10.1093\/eurjpc\/zwad375","article-title":"Development of deep-learning models for real-time anaerobic threshold and peak VO2 prediction during cardiopulmonary exercise testing","volume":"31","author":"Watanabe","year":"2024","journal-title":"European Journal of Preventive Cardiology"},{"issue":"3","key":"10.7717\/peerj.20847\/ref-29","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1080\/17461391.2020.1866081","article-title":"Oxynet: a collective intelligence that detects ventilatory thresholds in cardiopulmonary exercise tests","volume":"22","author":"Zignoli","year":"2022","journal-title":"European Journal of Sport Science"}],"container-title":["PeerJ"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/peerj.com\/articles\/20847.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/peerj.com\/articles\/20847.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/peerj.com\/articles\/20847.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/peerj.com\/articles\/20847.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T08:00:34Z","timestamp":1780992034000},"score":1,"resource":{"primary":{"URL":"https:\/\/peerj.com\/articles\/20847"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,6,9]]},"references-count":29,"alternative-id":["10.7717\/peerj.20847"],"URL":"https:\/\/doi.org\/10.7717\/peerj.20847","archive":["CLOCKSS","LOCKSS","Portico"],"relation":{},"ISSN":["2167-8359"],"issn-type":[{"value":"2167-8359","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,6,9]]},"article-number":"e20847"}}