Abstract

The power-duration relationship is well documented for athletic performance and is formulated out mathematically in the critical power (CP) model. The CP model, when applied properly, has great predictive power, e.g. pedaling at a specific power output on an ergometer the model precisely calculates the time over which an athlete can sustain this power. However, CP presents physiological inconsistencies and process-oriented problems. The rapid development of near-infrared spectroscopy (NIRS) to measure muscle oxygenation (SmO2) dynamics provides a physiological exploration of the CP model on a conceptual and empirical level. Conceptually, the CP model provides two components: first CP is defined as the highest metabolic rate that can be achieved through oxidative means. And second, work capacity above CP named W’. SmO2 presents a steady-state in oxygen supply and demand and thereby represents CP specifically at a local level of analysis. Empirically, exploratory data quickly illustrates the relationship between performance and SmO2, as shown during 3-min all-out cycling tests to assess CP. During these tests, performance and SmO2 essentially mirror each other, and both CP and W’ generate solid correlation with what would be deemed their SmO2 counterparts: first, the steady-state of SmO2 correlates with CP. And second, the tissue oxygen reserve represented in SmO2, when calculated as an integral corresponds to W’. While the empirical data presented is preliminary, the proposition of a concurring physiological model to the current CP model is a plausible inference. Here we propose that SmO2 steady-state representing CP as critical oxygenation or CO. And the tissue oxygen reserve above CO would then be identified as O’. This new CO model could fill in the physiological gap between the highly predictive CP model and at times its inability to track human physiology consistently. For simplicity's sake, this would include acute changes in physiology as a result of changing climate or elevation with travel, which can affect performance. These types of acute fluctuations, but not limited to, would be manageable when applying a CO model in conjunction with the CP model. Further, modeling is needed to investigate the true potential of NIRS to model CP, with a focus on repeatability, recovery, and systemic vs local workloads.

Highlights

  • In their 2016 publication, Poole and colleagues [42] outline the relevance of the hyperbolic power-duration relationship termed the critical power (CP) model, as accredited to findings by Archibald Hill in 1925 [22] and later Monod and Scherrer [36]

  • The rapid development of near-infrared spectroscopy (NIRS) to measure muscle oxygenation (SmO2) dy­ namics provides a physiological exploration of the CP model on a conceptual and empirical level

  • The CP model provides two components: first CP is defined as the highest metabolic rate that can be achieved through oxidative means

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Summary

Introduction

In their 2016 publication, Poole and colleagues [42] outline the relevance of the hyperbolic power-duration relationship termed the critical power (CP) model, as accredited to findings by Archibald Hill in 1925 [22] and later Monod and Scherrer [36]. The rapid development of near-infrared spectroscopy (NIRS) to measure muscle oxygenation (SmO2) dy­ namics provides a physiological exploration of the CP model on a conceptual and empirical level. SmO2 presents a steady-state in ox­ ygen supply and demand and thereby represents CP at a local level of analysis.

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