Paris, 13 May 2014

Mathematics to improve running

How can runners improve their performance, weight and fitness? Amandine Aftalion from the Mathematics Laboratory in Versailles (CNRS/University of Versailles-Saint-Quentin-en-Yvelines) and Frédéric Bonnans from the Center of Applied Mathematics (CNRS/Inria/École polytechnique)1 have produced a mathematical model to optimize running, which could lead to personal e-coaching customized to each individual's physiological state. It also confirms a well-known fact in the sports community: runners who vary their speed spend their energy better and thus run longer. Mathematics gives them the opportunity to switch from simple statistical tools2 to personalized sporting advice. This work, available on HAL, will be presented in Toulouse on May 16th, 2014, at the Futurapolis international meeting in which CNRS is a partner. It will also be published in the journal SIAM J.Applied Mathematics.

To download the press release : Courir_Maths


1Amandine Aftalion is a CNRS senior researcher at the Mathematics Laboratory in Versailles. Frédéric Bonnans is an INRIA senior researcher at the École Polytechnique's Center of Applied Mathematics.
2Mobile applications currently being marketed collect data for statistical purposes (average speed or distance) but do not allow runners to improve their performance.


Optimization of running strategies based on anaerobic energy and variations of velocity. A. Aftalion et F. Bonnans. To appear in SIAM J.Applied Mathematics.
Available on : View web site

Contact information:

CNRS Researcherl Amandine Aftalion l T +33 1 39 25 46 39 l
CNRS Press officer l Alexiane Agullo l T +33 1 44 96 43 90 l


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