1. Experimental validation of the 3-parameter critical power model in cycling
- Author
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Christian Moia, Giovanni Vinetti, Anna Taboni, Guido Ferretti, Paolo Bruseghini, Stefano Camelio, Nazzareno Fagoni, and Matteo D’Elia
- Subjects
Adult ,Male ,Hyperbolic model ,Physiology ,Anaerobic alactic metabolism ,Squat ,Endurance ,Young Adult ,03 medical and health sciences ,Oxygen Consumption ,0302 clinical medicine ,Non-linear model ,Physical work capacity ,Power–time relationship ,Energy Metabolism ,Exercise ,Humans ,Physical Endurance ,Task Performance and Analysis ,Exercise Test ,Physiology (medical) ,Orthopedics and Sports Medicine ,Force platform ,Mathematics ,ddc:617 ,Mathematical analysis ,Work (physics) ,Public Health, Environmental and Occupational Health ,030229 sport sciences ,General Medicine ,Power (physics) ,Intensity (physics) ,Settore M-EDF/02 - METODI E DIDATTICHE DELLE ATTIVITÀ SPORTIVE ,Asymptote ,Cycling ,Constant (mathematics) ,030217 neurology & neurosurgery - Abstract
Purpose: The three-parameter model of critical power (3-p) implies that in the severe exercise intensity domain time to exhaustion (Tlim) decreases hyperbolically with power output starting from the power asymptote (critical power, ẇcr) and reaching 0 s at a finite power limit (ẇ0) thanks to a negative time asymptote (k). We aimed to validate 3-p for short Tlim and to test the hypothesis that ẇ0 represents the maximal instantaneous muscular power.Methods: Ten subjects performed an incremental test and nine constant-power trials to exhaustion on an electronically braked cycle ergometer. All trials were fitted to 3-p by means of non-linear regression, and those with Tlim greater than 2 min also to the 2-parameter model (2-p), obtained constraining k to 0 s. Five vertical squat jumps on a force platform were also performed to determine the single-leg (i.e., halved) maximal instantaneous power.Results: Tlim ranged from 26 ± 4 s to 15.7 ± 4.9 min. In 3-p, with respect to 2-p, ẇcr was identical (177 ± 26 W), while curvature constant W' was higher (17.0 ± 4.3 vs 15.9 ± 4.2 kJ, p < 0.01). 3-p-derived ẇ0 was lower than single-leg maximal instantaneous power (1184 ± 265 vs 1554 ± 235 W, p < 0.01).Conclusions: 3-p is a good descriptor of the work capacity above ẇcr up to Tlim as short as 20 s. However, since there is a discrepancy between estimated ẇ0 and measured maximal instantaneous power, a modification of the model has been proposed.
- Published
- 2019
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