| Title |
Optimization of Running Strategies According to the Physiological Parameters for a Two-Runners Model
|
|---|---|
| Published in |
Bulletin of Mathematical Biology, November 2016
|
| DOI | 10.1007/s11538-016-0230-9 |
| Pubmed ID | |
| Authors |
Camilla Fiorini |
| Abstract |
In order to describe the velocity and the anaerobic energy of two runners competing against each other for middle-distance races, we present a mathematical model relying on an optimal control problem for a system of ordinary differential equations. The model is based on energy conservation and on Newton's second law: resistive forces, propulsive forces and variations in the maximal oxygen uptake are taken into account. The interaction between the runners provides a minimum for staying 1 m behind one's competitor. We perform numerical simulations and show how a runner can win a race against someone stronger by taking advantage of staying behind, or how they can improve their personal record by running behind someone else. Our simulations show when it is the best time to overtake, depending on the difference between the athletes. Finally, we compare our numerical results with real data from the men's 1500 m finals of different competitions. |
X Demographics
The data shown below were collected from the profiles of 15 X users who shared this research output. Click here to find out more about how the information was compiled.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| United Kingdom | 5 | 33% |
| Australia | 1 | 7% |
| France | 1 | 7% |
| Mexico | 1 | 7% |
| United States | 1 | 7% |
| Unknown | 6 | 40% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Members of the public | 12 | 80% |
| Scientists | 3 | 20% |
Mendeley readers
The data shown below were compiled from readership statistics for 14 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 14 | 100% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Ph. D. Student | 4 | 29% |
| Student > Master | 4 | 29% |
| Student > Doctoral Student | 1 | 7% |
| Other | 1 | 7% |
| Lecturer | 1 | 7% |
| Other | 1 | 7% |
| Unknown | 2 | 14% |
| Readers by discipline | Count | As % |
|---|---|---|
| Sports and Recreations | 6 | 43% |
| Psychology | 2 | 14% |
| Economics, Econometrics and Finance | 1 | 7% |
| Arts and Humanities | 1 | 7% |
| Nursing and Health Professions | 1 | 7% |
| Other | 1 | 7% |
| Unknown | 2 | 14% |
Attention Score in Context
This research output has an Altmetric Attention Score of 8. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 05 May 2022.
All research outputs
#4,391,812
of 25,473,687 outputs
Outputs from Bulletin of Mathematical Biology
#138
of 1,290 outputs
Outputs of similar age
#67,237
of 319,326 outputs
Outputs of similar age from Bulletin of Mathematical Biology
#1
of 15 outputs
Altmetric has tracked 25,473,687 research outputs across all sources so far. Compared to these this one has done well and is in the 82nd percentile: it's in the top 25% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 1,290 research outputs from this source. They typically receive a little more attention than average, with a mean Attention Score of 5.2. This one has done well, scoring higher than 89% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 319,326 tracked outputs that were published within six weeks on either side of this one in any source. This one has done well, scoring higher than 78% of its contemporaries.
We're also able to compare this research output to 15 others from the same source and published within six weeks on either side of this one. This one has done particularly well, scoring higher than 99% of its contemporaries.