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Pace and motor control optimization for a runner
Journal of Mathematical Biology ( IF 2.2 ) Pub Date : 2021-07-01 , DOI: 10.1007/s00285-021-01632-z
Amandine Aftalion 1 , Emmanuel Trélat 2
Affiliation  

We present a 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, that allows to define an approximate optimal velocity. We provide numerical simulations quite consistent with this approximation which leads to a simplified problem. The advantage of this simplified formulation for the velocity is that if we have velocity data of a runner on a race, and have access to his \(\dot{V}O2_{\mathrm {max}}\), then we can infer the values of all the physiological parameters. We are also able to estimate the effect of slopes and ramps.



中文翻译:

跑步者的配速和运动控制优化

我们提出了一个模型,其中包含固定距离跑步者的配速优化和运动控制工作。我们看到,对于长时间的比赛,长期行为可以通过收费公路问题很好地近似,它允许定义近似的最佳速度。我们提供的数值模拟与这种近似一致,这导致了一个简化的问题。这种简化的速度公式的优点是,如果我们有比赛中跑步者的速度数据,并且可以访问他的\(\dot{V}O2_{\mathrm {max}}\),那么我们可以推断所有生理参数的值。我们还能够估计斜坡和斜坡的影响。

更新日期:2021-07-02
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