All models are wrong, but the critical power model is useful.

This letter to the editor responds to a paper that compares different mathematical models for describing the relationship between exercise intensity and duration before task failure. The authors argue that a power law model is a better fit for a wide range of intensities and durations compared to the commonly used hyperbolic model. However, they also acknowledge that the hyperbolic model has physiological significance, particularly in terms of the critical power (CP) and work prime (W') parameters. The authors suggest that incorporating durability as a parameter may improve the accuracy of mathematical models for endurance performance. Overall, the letter emphasizes the importance of considering the physiological significance of parameters when choosing a mathematical model. [Extracted from the article]