Our aim is to present a new model which encompasses pace optimization and motor control effort for a runner on a fixed distance. We see that for long races, the long term behaviour is well approximated by a turnpike problem. We provide numerical simulations quite consistent with this approximation which leads to a simplified problem. We are also able to estimate the effect of slopes and ramps.
@article{arxiv.2005.09882,
title = {Pace and motor control optimization for a runner},
author = {Amandine Aftalion and Emmanuel Trélat},
journal= {arXiv preprint arXiv:2005.09882},
year = {2021}
}