How to identify the physiological parameters and run the optimal race
MathematicS In Action, Tome 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.
Publié le :
DOI : 10.5802/msia.9
DOI : 10.5802/msia.9
Affiliations des auteurs :
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
@article{MSIA_2016__7_1_1_0,
author = {Amandine Aftalion and Louis-Henri Despaigne and Alexis Frentz and Pierre Gabet and Antoine Lajouanie and Marc-Antoine Lorthiois and Lucien Roquette and Camille Vernet},
title = {How to identify the physiological parameters and run the optimal race},
journal = {MathematicS In Action},
pages = {1--10},
publisher = {Soci de Mathtiques Appliqu et Industrielles},
volume = {7},
number = {1},
year = {2016},
doi = {10.5802/msia.9},
zbl = {1343.92093},
mrnumber = {3472390},
language = {en},
url = {https://msia.centre-mersenne.org/articles/10.5802/msia.9/}
}
TY - JOUR AU - Amandine Aftalion AU - Louis-Henri Despaigne AU - Alexis Frentz AU - Pierre Gabet AU - Antoine Lajouanie AU - Marc-Antoine Lorthiois AU - Lucien Roquette AU - Camille Vernet TI - How to identify the physiological parameters and run the optimal race JO - MathematicS In Action PY - 2016 SP - 1 EP - 10 VL - 7 IS - 1 PB - Soci de Mathtiques Appliqu et Industrielles UR - https://msia.centre-mersenne.org/articles/10.5802/msia.9/ DO - 10.5802/msia.9 LA - en ID - MSIA_2016__7_1_1_0 ER -
%0 Journal Article %A Amandine Aftalion %A Louis-Henri Despaigne %A Alexis Frentz %A Pierre Gabet %A Antoine Lajouanie %A Marc-Antoine Lorthiois %A Lucien Roquette %A Camille Vernet %T How to identify the physiological parameters and run the optimal race %J MathematicS In Action %D 2016 %P 1-10 %V 7 %N 1 %I Soci de Mathtiques Appliqu et Industrielles %U https://msia.centre-mersenne.org/articles/10.5802/msia.9/ %R 10.5802/msia.9 %G en %F MSIA_2016__7_1_1_0
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, Tome 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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