How to identify the physiological parameters and run the optimal race
MathematicS In Action, Volume 7 (2016) no. 1, pp. 1-10.

This paper shows how a system of ordinary differential equations describing the evolution of the anaerobic energy, the oxygen uptake, the propulsive force and the velocity of a runner accurately describes pacing strategy. We find a protocol to identify the physiological parameters needed in the model using numerical simulations and time splits measurements for an 80 m and a 1600 m race. The velocity curve of the simulations is very close to the experimental one. This model could allow to study the influence of training and improving some specific parameters for the pacing strategy.

Published online:
DOI: 10.5802/msia.9
Amandine Aftalion 1; Louis-Henri Despaigne 2; Alexis Frentz 2; Pierre Gabet 2; Antoine Lajouanie 2; Marc-Antoine Lorthiois 2; Lucien Roquette 2; Camille Vernet 2

1 Laboratoire de Mathématiques de Versailles, UVSQ, CNRS, Université Paris-Saclay, 45 avenue des Etats-Unis, 78035 Versailles Cédex, France.
2 Ecole Polytechnique, University Paris-Saclay, Route de Saclay, 91128 Palaiseau Cedex, France.
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Amandine Aftalion; Louis-Henri Despaigne; Alexis Frentz; Pierre Gabet; Antoine Lajouanie; Marc-Antoine Lorthiois; Lucien Roquette; Camille Vernet. How to identify the physiological parameters and run the optimal race. MathematicS In Action, Volume 7 (2016) no. 1, pp. 1-10. doi : 10.5802/msia.9. https://msia.centre-mersenne.org/articles/10.5802/msia.9/

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