Pace and motor control optimization for a runner

Amandine Aftalion (1) , Emmanuel Trélat (2, 3)

1 CAMS - Centre d'Analyse et de Mathématique sociales
2 CaGE - Control And GEometry
3 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions

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.

Domaines: Optimisation et contrôle [math.OC]; Autre [q-bio.OT]

Amandine Aftalion, Emmanuel Trélat. Pace and motor control optimization for a runner. Journal of Mathematical Biology, 2021, 83 (1), Paper No. 9. ⟨hal-02613182v2⟩