2020/05/20 by Amandine Aftalion, Emmanuel Trélat, Aftalion, Amandine +1
Engineering · Medicine · Neuroscience · #FOS: Biological sciences #FOS: Mathematics #Motor Control and Adaptation #Optimization and Control (math.OC) #Quantitative Methods (q-bio.QM) #Sports Dynamics and Biomechanics #Sports Performance and Training
paper · pdf · doi:10.48550/arxiv.2005.09882
openalex publication_date 2020/05/20 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
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.