Department of Engineering, Mathematics and Science Education, Sports Tech Research Centre, Mid Sweden University, Östersund, Sweden.
Eur J Appl Physiol. 2023 Dec;123(12):2755-2770. doi: 10.1007/s00421-023-05256-7. Epub 2023 Jun 27.
The aim of this study was to develop and validate a bioenergetic model describing the dynamic behavior of the alactic, lactic, and aerobic metabolic energy supply systems as well as different sources of the total metabolic energy demand.
The bioenergetic supply model consisted of terms for the alactic, lactic, and aerobic system metabolic rates while the demand model consisted of terms for the corresponding metabolic rates of principal cycling work, pulmonary ventilation, and accumulated metabolites. The bioenergetic model was formulated as a system of differential equations and model parameters were estimated by a non-linear grey-box approach, utilizing power output and aerobic metabolic rate (MR) data from fourteen cyclists performing an experimental trial (P2) on a cycle ergometer. Validity was assessed by comparing model simulation and measurements on a similar follow-up experimental trial (P3).
The root mean square error between modelled and measured MR was 61.9 ± 7.9 W and 79.2 ± 30.5 W for P2 and P3, respectively. The corresponding mean absolute percentage error was 8.6 ± 1.5% and 10.6 ± 3.3% for P2 and P3, respectively.
The validation of the model showed excellent overall agreement between measured and modeled MR during intermittent cycling by well-trained male cyclist. However, the standard deviation was 38.5% of the average root mean square error for P3, indicating not as good reliability.
本研究旨在开发和验证一个生物能量模型，该模型描述了非乳酸、乳酸和有氧代谢能量供应系统的动态行为，以及总代谢能量需求的不同来源。
生物能量供应模型包括乳酸、乳酸和有氧系统代谢率的项，而需求模型包括主要循环工作、肺通气和累积代谢物的相应代谢率的项。生物能量模型被表述为微分方程系统，模型参数通过非线性灰色框方法进行估计，利用 14 名骑自行车者在功率自行车上进行的一项实验试验（P2）的输出功率和有氧代谢率（MR）数据进行估计。通过比较模型模拟和类似后续实验试验（P3）的测量结果来评估有效性。
P2 和 P3 中模型模拟和测量的 MR 的均方根误差分别为 61.9±7.9 W 和 79.2±30.5 W。相应的平均绝对百分比误差分别为 8.6±1.5%和 10.6±3.3%。
模型验证表明，在经过良好训练的男性自行车运动员进行间歇性自行车运动期间，MR 的测量值和模型模拟值之间具有极好的总体一致性。然而，P3 的平均均方根误差的标准偏差为 38.5%，表明可靠性不是那么好。
