Featured Research

from universities, journals, and other organizations

Mathematics to improve running

Date:
May 15, 2014
Source:
CNRS (Délégation Paris Michel-Ange)
Summary:
How can runners improve their performance, weight and fitness? Researchers 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 tools to personalized sporting advice.

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) 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 tools 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.

This mathematical model provides a system of differential equations connecting speed, acceleration, propulsion forces and friction, as well as runners' energy, including maximal oxygen uptake (VO2max) 3 and anaerobic energy4. This system is coupled with initial conditions (zero speed and fixed amount of energy), and constraints: energy and propulsion force must be positive (runners cannot go back). Using this model, researchers are able to predict the optimal running strategy throughout the race, including the optimal speed and energy spent from the start. Their main result shows that by varying their speed, runners spend less energy and thus run longer. Moreover, by comparing these results with those of professional athletes, the authors can also specify which physiological parameters runners must improve by answering the following questions for example: what results would a champion achieve with the weight and maximal oxygen consumption of an amateur runner? Which parameters can amateur athletes improve to get closer to the results of a champion? Should it be their maximal oxygen uptake or anaerobic energy?

The applications of this model target two categories of individuals. In the case of "semi-professionals" runners who do not have the opportunity to work with a coach or for physical training purposes in schools, researchers hope to develop a software that could act as a personal e-coach by indicating which physiological parameters need improving and by implementing racing strategies based on instantaneous velocity. On the other hand, the system of equations, which can be adapted to all variables of interest to athletes (and not just speed), could enable occasional runners to find out the exact number of calories lost during a race (and not a simple average as with today's available tools) in order to improve weight loss. The researchers are now taking into account new parameters such as altitude or wind effect to improve their mathematical model, so that it can be applied to other sports such as cycling, swimming or canoeing.

The report abstract can be accessed at: http://hal.inria.fr/hal-00851182


Story Source:

The above story is based on materials provided by CNRS (Délégation Paris Michel-Ange). Note: Materials may be edited for content and length.


Cite This Page:

CNRS (Délégation Paris Michel-Ange). "Mathematics to improve running." ScienceDaily. ScienceDaily, 15 May 2014. <www.sciencedaily.com/releases/2014/05/140515090807.htm>.
CNRS (Délégation Paris Michel-Ange). (2014, May 15). Mathematics to improve running. ScienceDaily. Retrieved August 28, 2014 from www.sciencedaily.com/releases/2014/05/140515090807.htm
CNRS (Délégation Paris Michel-Ange). "Mathematics to improve running." ScienceDaily. www.sciencedaily.com/releases/2014/05/140515090807.htm (accessed August 28, 2014).

Share This




More Health & Medicine News

Thursday, August 28, 2014

Featured Research

from universities, journals, and other organizations


Featured Videos

from AP, Reuters, AFP, and other news services

Killer Amoeba Found in Louisiana Water System

Killer Amoeba Found in Louisiana Water System

AP (Aug. 28, 2014) — State health officials say testing has confirmed the presence of a killer amoeba in a water system serving three St. John the Baptist Parish towns. (Aug. 28) Video provided by AP
Powered by NewsLook.com
Who Could Be Burnt by WHO's E-Cigs Move?

Who Could Be Burnt by WHO's E-Cigs Move?

Reuters - Business Video Online (Aug. 28, 2014) — The World Health Organisation has called for the regulation of electronic cigarettes as both tobacco and medical products. Ciara Lee looks at the impact of the move on the tobacco industry. Video provided by Reuters
Powered by NewsLook.com
CDC Director On Ebola Outbreak: 'It's Worse Than I Feared'

CDC Director On Ebola Outbreak: 'It's Worse Than I Feared'

Newsy (Aug. 28, 2014) — CDC director Tom Frieden says the Ebola outbreak is even worse than he feared. But he also said there's still hope to contain it. Video provided by Newsy
Powered by NewsLook.com
How A 'Rule Of Thumb' Could Slow Down Drinking

How A 'Rule Of Thumb' Could Slow Down Drinking

Newsy (Aug. 28, 2014) — A study suggests people who follow a "rule of thumb" when pouring wine dispense less than those who don't have a particular amount in mind. Video provided by Newsy
Powered by NewsLook.com

Search ScienceDaily

Number of stories in archives: 140,361

Find with keyword(s):
 
Enter a keyword or phrase to search ScienceDaily for related topics and research stories.

Save/Print:
Share:  

Breaking News:
from the past week

In Other News

... from NewsDaily.com

Science News

Health News

Environment News

Technology News



Save/Print:
Share:  

Free Subscriptions


Get the latest science news with ScienceDaily's free email newsletters, updated daily and weekly. Or view hourly updated newsfeeds in your RSS reader:

Get Social & Mobile


Keep up to date with the latest news from ScienceDaily via social networks and mobile apps:

Have Feedback?


Tell us what you think of ScienceDaily -- we welcome both positive and negative comments. Have any problems using the site? Questions?
Mobile iPhone Android Web
Follow Facebook Twitter Google+
Subscribe RSS Feeds Email Newsletters
Latest Headlines Health & Medicine Mind & Brain Space & Time Matter & Energy Computers & Math Plants & Animals Earth & Climate Fossils & Ruins