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Development and validation of dynamic bioenergetic model for intermittent ergometer cycling
Julius Lidar1, Mats Ainegren2, David Sundström2
1Department of Engineering, Mathematics and Science Education, Sports Tech Research Centre, Mid Sweden University, Östersund, Sweden. julius.lidar@miun.se.
European Journal of Applied Physiology
|June 27, 2023
Summary
This study developed a bioenergetic model for cycling energy systems. The model accurately predicts aerobic metabolic rate, crucial for understanding exercise physiology in athletes.
Area of Science:
- Exercise Physiology
- Computational Biology
- Sports Science
Background:
- Understanding the body's energy systems is crucial for optimizing athletic performance and training.
- Existing models often simplify the complex interplay between different metabolic pathways during exercise.
- A dynamic bioenergetic model can provide deeper insights into energy supply and demand during physical activity.
Purpose of the Study:
- To develop and validate a comprehensive bioenergetic model.
- To describe the dynamic behavior of alactic, lactic, and aerobic energy supply systems.
- To model the metabolic energy demand from cycling work, ventilation, and metabolite accumulation.
Main Methods:
- Formulated a bioenergetic model as a system of differential equations.
- Employed a non-linear grey-box approach for parameter estimation.
- Utilized power output and aerobic metabolic rate data from cyclists during ergometer trials.
Main Results:
- The model demonstrated good agreement between simulated and measured aerobic metabolic rate (MRae).
- Root mean square error for MRae was 61.9 ± 7.9 W (P2) and 79.2 ± 30.5 W (P3).
- Mean absolute percentage error for MRae was 8.6 ± 1.5% (P2) and 10.6 ± 3.3% (P3).
Conclusions:
- The bioenergetic model shows excellent agreement for predicting MRae during intermittent cycling.
- Validation indicates the model's utility for well-trained male cyclists.
- Reliability for the follow-up trial (P3) showed a notable standard deviation, suggesting areas for refinement.

