Comparative analysis of VO2 prediction equations using a novel web-based application: an illustrative example in formerly deployed military veterans

Background Cardiopulmonary exercise tests (CPET) use clinical-algorithms for interpretation by classifying exercise capacity based on a fixed threshold (e.g., oxygen consumption percent-predicted ≥80% [ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m5"> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">V</mml:mi> <mml:mo>˙</mml:mo> </mml:mover> <mml:msub> <mml:mi mathvariant="normal">O</mml:mi> <mml:mrow> <mml:mn>2</mml:mn> <mml:mtext>peak</mml:mtext> <mml:mo>−</mml:mo> <mml:mtext>pp</mml:mtext> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> ]). Impact of prediction equation selection on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m6"> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">V</mml:mi> <mml:mo>˙</mml:mo> </mml:mover> <mml:msub> <mml:mi mathvariant="normal">O</mml:mi> <mml:mrow> <mml:mn>2</mml:mn> <mml:mtext>peak</mml:mtext> <mml:mo>−</mml:mo> <mml:mtext>pp</mml:mtext> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> values and subsequent classifications have not been thoroughly examined in Veterans undergoing specialty evaluation for post-deployment concerns. We developed an application ( https://tom26alex-cpx-comparison.share.connect.posit.cloud/ ) offering a direct comparison of multiple prediction equations for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m7"> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">V</mml:mi> <mml:mo>˙</mml:mo> </mml:mover> <mml:msub> <mml:mi mathvariant="normal">O</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:mrow> </mml:math> with data visualizations to better contextualize the individuals achieved <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m8"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">V</mml:mi> <mml:mo>̇</mml:mo> </mml:mover> <mml:mi mathvariant="normal">O</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>p</mml:mi> <mml:mi>e</mml:mi> <mml:mi>a</mml:mi> <mml:mi>k</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> . Methods We retrospectively reviewed CPET records from U.S. Veterans undergoing evaluation for post-deployment concerns and calculated <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m9"> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">V</mml:mi> <mml:mo>˙</mml:mo> </mml:mover> <mml:msub> <mml:mi mathvariant="normal">O</mml:mi> <mml:mrow> <mml:mn>2</mml:mn> <mml:mtext>peak</mml:mtext> <mml:mo>−</mml:mo> <mml:mtext>pp</mml:mtext> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> using six separate commonly used prediction equations. Exercise capacity was classified as normal using a fixed threshold ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m10"> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">V</mml:mi> <mml:mo>˙</mml:mo> </mml:mover> <mml:msub> <mml:mi mathvariant="normal">O</mml:mi> <mml:mrow> <mml:mn>2</mml:mn> <mml:mtext>peak</mml:mtext> <mml:mo>−</mml:mo> <mml:mtext>pp</mml:mtext> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> ≥80%). Friedman’s test was employed for overall comparison of peak predicted across equations, followed by Cohen’s kappa (κ) to evaluate agreement in exercise capacity classification. The influence of demographic and anthropometric factors on inter-equation differences was examined using regression analysis. Results Significant variability was noted in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m11"> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">V</mml:mi> <mml:mo>˙</mml:mo> </mml:mover> <mml:msub> <mml:mi mathvariant="normal">O</mml:mi> <mml:mrow> <mml:mn>2</mml:mn> <mml:mtext>peak</mml:mtext> <mml:mo>−</mml:mo> <mml:mtext>pp</mml:mtext> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> between prediction equations (Friedman’s χ2 = 936.0, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m12"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mtext> </mml:mtext> <mml:mo>&lt;</mml:mo> <mml:mtext> </mml:mtext> <mml:mn>0.01</mml:mn> </mml:mrow> </mml:math> , Kendall effect size = 0.6). In pairwise analysis, 53% of Veterans in the study were re-classified at least once resulting in significant discordance between all pairs of equations (κ = 0.24–0.78). Regression analysis identified body mass index (BMI) as the most significant contributor to differences in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m13"> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">V</mml:mi> <mml:mo>˙</mml:mo> </mml:mover> <mml:msub> <mml:mi mathvariant="normal">O</mml:mi> <mml:mrow>

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Journal
Frontiers in Physiology
Published
2026-03-12
DOI
https://doi.org/10.3389/fphys.2026.1771831
Primary Topic
Cardiovascular and exercise physiology
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article
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article

Comparative analysis of VO2 prediction equations using a novel web-based application: an illustrative example in formerly deployed military veterans

Michael J. Falvo, Daniel J. Schneider, D.R. Glick, Daniel P. Wilhite et al.
Frontiers in Physiology
Cardiovascular and exercise physiology
article

Comparative analysis of VO2 prediction equations using a novel web-based application: an illustrative example in formerly deployed military veterans

Michael J. Falvo, Daniel J. Schneider, D.R. Glick, Daniel P. Wilhite, John J. Osterholzer, A.M. Sotolongo, S.D. Krefft, Stella E. Hines, Bradley W. Richmond, Steven J. Cassady, Mehrdad Arjomandi, Thomas Alexander
article en

Abstract

Background Cardiopulmonary exercise tests (CPET) use clinical-algorithms for interpretation by classifying exercise capacity based on a fixed threshold (e.g., oxygen consumption percent-predicted ≥80% [ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m5"> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">V</mml:mi> <mml:mo>˙</mml:mo> </mml:mover> <mml:msub> <mml:mi mathvariant="normal">O</mml:mi> <mml:mrow> <mml:mn>2</mml:mn> <mml:mtext>peak</mml:mtext> <mml:mo>−</mml:mo> <mml:mtext>pp</mml:mtext> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> ]). Impact of prediction equation selection on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m6"> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">V</mml:mi> <mml:mo>˙</mml:mo> </mml:mover> <mml:msub> <mml:mi mathvariant="normal">O</mml:mi> <mml:mrow> <mml:mn>2</mml:mn> <mml:mtext>peak</mml:mtext> <mml:mo>−</mml:mo> <mml:mtext>pp</mml:mtext> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> values and subsequent classifications have not been thoroughly examined in Veterans undergoing specialty evaluation for post-deployment concerns. We developed an application ( https://tom26alex-cpx-comparison.share.connect.posit.cloud/ ) offering a direct comparison of multiple prediction equations for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m7"> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">V</mml:mi> <mml:mo>˙</mml:mo> </mml:mover> <mml:msub> <mml:mi mathvariant="normal">O</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:mrow> </mml:math> with data visualizations to better contextualize the individuals achieved <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m8"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">V</mml:mi> <mml:mo>̇</mml:mo> </mml:mover> <mml:mi mathvariant="normal">O</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>p</mml:mi> <mml:mi>e</mml:mi> <mml:mi>a</mml:mi> <mml:mi>k</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> . Methods We retrospectively reviewed CPET records from U.S. Veterans undergoing evaluation for post-deployment concerns and calculated <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m9"> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">V</mml:mi> <mml:mo>˙</mml:mo> </mml:mover> <mml:msub> <mml:mi mathvariant="normal">O</mml:mi> <mml:mrow> <mml:mn>2</mml:mn> <mml:mtext>peak</mml:mtext> <mml:mo>−</mml:mo> <mml:mtext>pp</mml:mtext> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> using six separate commonly used prediction equations. Exercise capacity was classified as normal using a fixed threshold ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m10"> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">V</mml:mi> <mml:mo>˙</mml:mo> </mml:mover> <mml:msub> <mml:mi mathvariant="normal">O</mml:mi> <mml:mrow> <mml:mn>2</mml:mn> <mml:mtext>peak</mml:mtext> <mml:mo>−</mml:mo> <mml:mtext>pp</mml:mtext> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> ≥80%). Friedman’s test was employed for overall comparison of peak predicted across equations, followed by Cohen’s kappa (κ) to evaluate agreement in exercise capacity classification. The influence of demographic and anthropometric factors on inter-equation differences was examined using regression analysis. Results Significant variability was noted in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m11"> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">V</mml:mi> <mml:mo>˙</mml:mo> </mml:mover> <mml:msub> <mml:mi mathvariant="normal">O</mml:mi> <mml:mrow> <mml:mn>2</mml:mn> <mml:mtext>peak</mml:mtext> <mml:mo>−</mml:mo> <mml:mtext>pp</mml:mtext> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> between prediction equations (Friedman’s χ2 = 936.0, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m12"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mtext> </mml:mtext> <mml:mo>&lt;</mml:mo> <mml:mtext> </mml:mtext> <mml:mn>0.01</mml:mn> </mml:mrow> </mml:math> , Kendall effect size = 0.6). In pairwise analysis, 53% of Veterans in the study were re-classified at least once resulting in significant discordance between all pairs of equations (κ = 0.24–0.78). Regression analysis identified body mass index (BMI) as the most significant contributor to differences in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m13"> <mml:mrow> <mml:mover accent="true"> <mml:mi mathvariant="normal">V</mml:mi> <mml:mo>˙</mml:mo> </mml:mover> <mml:msub> <mml:mi mathvariant="normal">O</mml:mi> <mml:mrow>

Frontiers in PhysiologyVol. 17
University of Michigan (US), Veterans Health Administration (US), National Jewish Health (US), VA New Jersey Health Care System (US), VA Tennessee Valley Healthcare System (US), VA Ann Arbor Healthcare System (US), San Francisco VA Health Care System (US), VA Maryland Health Care System (US), Vanderbilt University Medical Center (US), University of Colorado Denver (US)
Openalex Percentile: Top 24%
Cardiovascular and exercise physiology
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