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A mini-review of mathematical methods in sprint performance
Yuzhou Fan1,2
1School of Physical Education and Sports Science, Fujian Normal University, Fuzhou, China.
Frontiers in Sports and Active Living
|November 26, 2025
Summary
Mathematics provides crucial quantitative insights for sprint performance research in sports science. This review highlights how mathematical modeling enhances understanding of sprint biomechanics and athlete development.
Area of Science:
- Sports Science
- Biomechanics
- Applied Mathematics
Background:
- Mathematics is integral to sports science for analyzing sprint performance.
- Peter Wey and colleagues' research significantly advanced sprint biomechanics using mathematical and biomechanical models.
Purpose of the Study:
- To review highly-cited publications on mathematical approaches in sprint performance research.
- To analyze the application of mathematical modeling in understanding sprint biomechanics.
Main Methods:
- Review of eight highly-cited publications.
- Analysis of diverse mathematical methodologies including regression models and differential equations.
- Examination of kinetic and kinematic data in sprint mechanics.
Main Results:
- Mathematical approaches offer objective frameworks for performance analysis.
- Integration of math and biomechanics enhances predictive capabilities for athletic potential.
- Mathematical models provide mechanistic insights into sprint performance determinants.
Conclusions:
- Mathematical methods are fundamental to advancing sprint performance research.
- Objective analysis and enhanced prediction are key benefits of mathematical modeling.
- Opportunities exist for further methodological development in sports science applications.
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