Bergstrom Haley C, Dinyer Taylor K, Succi Pasquale J, Voskuil Caleb C, Housh Terry J
Department of Kinesiology and Health Promotion, University of Kentucky, Lexington, KY 40506, USA.
Department of Nutrition and Health Sciences, University of Nebraska-Lincoln, Lincoln, NE 68583, USA.
Sports (Basel). 2021 Jan 21;9(2):15. doi: 10.3390/sports9020015.
The study and application of the critical power (CP) concept has spanned many decades. The CP test provides estimates of two distinct parameters, CP and W', that describe aerobic and anaerobic metabolic capacities, respectively. Various mathematical models have been used to estimate the CP and W' parameters across exercise modalities. Recently, the CP model has been applied to dynamic constant external resistance (DCER) exercises. The same hyperbolic relationship that has been established across various continuous, whole-body, dynamic movements has also been demonstrated for upper-, lower-, and whole-body DCER exercises. The asymptote of the load versus repetition relationship is defined as the critical load (CL) and the curvature constant is L'. The CL and L' can be estimated from the same linear and non-linear mathematical models used to derive the CP. The aims of this review are to (1) provide an overview of the CP concept across continuous, dynamic exercise modalities; (2) describe the recent applications of the model to DCER exercise; (3) demonstrate how the mathematical modeling of DCER exercise can be applied to further our understanding of fatigue and individual performance capabilities; and (4) make initial recommendations regarding the methodology for estimating the parameters of the CL test.
临界功率（CP）概念的研究与应用已历经数十年。CP测试可提供对两个不同参数的估计值，即CP和W'，它们分别描述有氧和无氧代谢能力。各种数学模型已被用于估计不同运动方式下的CP和W'参数。最近，CP模型已应用于动态恒定外力阻力（DCER）运动。在各种连续的、全身性的动态运动中所建立的相同双曲线关系，在上肢、下肢和全身DCER运动中也得到了证实。负荷与重复次数关系的渐近线被定义为临界负荷（CL），曲率常数为L'。CL和L'可从用于推导CP的相同线性和非线性数学模型中进行估计。本综述的目的是：（1）概述连续动态运动方式下的CP概念；（2）描述该模型在DCER运动中的最新应用；（3）展示如何将DCER运动的数学建模应用于进一步理解疲劳和个体运动能力；（4）对CL测试参数估计方法提出初步建议。
