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Updated: Sep 25, 2025

Determining the Contribution of the Energy Systems During Exercise
Published on: March 20, 2012
Modeling V̇o2 on-kinetics based on intensity-dependent delayed adjustment and loss of efficiency (DALE)
Øyvind Gløersen1,2,3, Alessandro L Colosio4,5, Jan Boone5
1Department of Physical Performance, Norwegian School of Sport Sciences, Oslo, Norway.
A new mathematical model for oxygen uptake (V̇o2) kinetics improves understanding of exercise intensity domains. It accurately predicts oxygen costs during heavy and severe exercise, clarifying misconceptions about V̇o2 slow component behavior.
Area of Science:
- Exercise Physiology
- Mathematical Modeling
- Human Performance
Background:
- Oxygen uptake (V̇o2) kinetics describe the body's dynamic response to exercise.
- Existing models often fail to accurately represent V̇o2 on-kinetics across different exercise intensities.
- Misconceptions persist regarding the attainment of a steady state in V̇o2, particularly in heavy and severe exercise domains.
Purpose of the Study:
- To present and evaluate a novel mathematical model of V̇o2 on-kinetics.
- To differentiate V̇o2 adaptations in heavy and severe exercise domains.
- To provide a framework for assessing oxygen costs without assuming constant energy efficiency.
Main Methods:
- Development of a new minimalistic integrated model for V̇o2 on-kinetics.
- Breath-by-breath V̇o2 data collection from eight subjects during step cycling transitions (moderate, heavy, severe domains).
- Comparison of the new model against the conventional three-phase model using residual analysis and information criteria (BIC, AICc).
Main Results:
- The new model demonstrated no systematic deviations in residual analysis, similar to the conventional model.
- Bayesian Information Criterion (BIC) favored the new model, indicating a better fit.
- The proposed model predicts attainable steady-state V̇o2 in moderate/heavy domains and no steady-state in the severe domain, clarifying slow component behavior.
Conclusions:
- The new V̇o2 on-kinetics model offers a more mechanistically informed approach.
- It accurately distinguishes kinetic adaptations across exercise intensity domains.
- This model advances the assessment of oxygen costs, especially during severe exercise where efficiency may vary.
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