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Updated: Jul 1, 2025

Determining the Contribution of the Energy Systems During Exercise
Published on: March 20, 2012
Quantifying assumptions underlying peak oxygen consumption equations across the body mass spectrum
Vincent Busque1,2, Jeffrey W Christle1, Kegan J Moneghetti1,3
1Division of Cardiovascular Medicine, Department of Medicine, Stanford University, Stanford, California, USA.
This study compared two peak oxygen consumption (pVO2) equations, finding the FRIEND equation underestimates fitness more in adults with obesity than the Wasserman-Hansen (WH) equation. These findings aid clinical interpretation of cardiopulmonary exercise tests.
Area of Science:
- Exercise Physiology
- Cardiopulmonary Exercise Testing
- Predictive Equation Validation
Background:
- Accurate prediction of peak oxygen consumption (pVO2) is crucial for assessing cardiorespiratory fitness.
- Existing predictive equations, such as Wasserman-Hansen (WH) and FRIEND, may have differential accuracy across body mass index (BMI) spectrums.
- Understanding these differences is vital for appropriate clinical interpretation of cardiopulmonary exercise test (CPET) results, especially in individuals with obesity.
Purpose of the Study:
- To quantify the assumptions of the Wasserman-Hansen (WH) and FRIEND predictive peak oxygen consumption (pVO2) equations concerning body mass index (BMI).
- To evaluate the performance of these equations in predicting pVO2 across various BMI categories using simulation and clinical data.
- To compare the differences in pVO2 estimations between the WH and FRIEND equations, particularly in individuals with obesity.
Main Methods:
- Assumptions of WH and FRIEND pVO2 equations were determined via simulation and validated using the Stanford Exercise Testing registry.
- Percent-predicted VO2 (ppVO2) values were calculated and compared using Bland-Altman analysis.
- Age-adjusted VO2 ratios (pVO2/pre-exercise VO2) and ppVO2 slopes were analyzed across BMI categories to quantify fitness differences.
Main Results:
- Simulation indicated the FRIEND equation predicted lower fitness in adults with obesity compared to WH equations.
- Bland-Altman analysis of 2471 patients showed an average relative difference of -1.7% between WH and FRIEND ppVO2, with larger discrepancies in individuals with BMI >30 kg/m².
- Analysis confirmed lower fitness in individuals with obesity, a trend more pronounced with the FRIEND equation, indicating significant differences in pVO2 estimations.
Conclusions:
- Peak VO2 estimations from WH and FRIEND equations differ significantly, especially in individuals with obesity.
- The FRIEND equation attributes a greater reduction in pVO2 to obesity compared to the WH equations.
- These findings highlight the importance of considering BMI when interpreting ppVO2 values from CPETs and may refine clinical assessments.
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