How to identify the physiological parameters and run the optimal race | Zendy

Amandine Aftalion | Zendy; Louis-Henri Despaigne | Zendy; Alexis Frentz | Zendy; Pierre Gabet | Zendy; Antoine Lajouanie | Zendy; Marc-Antoine Lorthiois | Zendy; Lucien Roquette | Zendy; Camille Vernet | Zendy

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How to identify the physiological parameters and run the optimal race

Author(s) -

Amandine Aftalion,

Louis-Henri Despaigne,

Alexis Frentz,

Pierre Gabet,

Antoine Lajouanie,

Marc-Antoine Lorthiois,

Lucien Roquette,

Camille Vernet

Publication year - 2016

Publication title -

mathematics in action

Language(s) - English

Resource type - Journals

ISSN - 2102-5754

DOI - 10.5802/msia.9

Subject(s) - race (biology) , ordinary differential equation , computer science , mechanics , control theory (sociology) , simulation , mathematics , differential equation , physics , mathematical analysis , artificial intelligence , geology , paleontology , control (management)

This paper shows how a system of ordinary dierential 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 80m and a 1600m 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.

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