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A nonlinear model for the characterization and optimization of athletic training and performance

Publication ,  Journal Article
Turner, JD; Mazzoleni, MJ; Little, JA; Sequeira, D; Mann, BP
Published in: Biomedical Human Kinetics
February 1, 2017

Study aim: Mathematical models of the relationship between training and performance facilitate the design of training protocols to achieve performance goals. However, current linear models do not account for nonlinear physiological effects such as saturation and over-training. This severely limits their practical applicability, especially for optimizing training strategies. This study describes, analyzes, and applies a new nonlinear model to account for these physiological effects. Material and methods: This study considers the equilibria and step response of the nonlinear differential equation model to show its characteristics and trends, optimizes training protocols using genetic algorithms to maximize performance by applying the model under various realistic constraints, and presents a case study ftting the model to human performance data. Results: The nonlinear model captures the saturation and over-training effects; produces realistic training protocols with training progression, a high-intensity phase, and a taper; and closely fts the experimental performance data. Fitting the model parameters to subsets of the data identifes which parameters have the largest variability but reveals that the performance predictions are relatively consistent. Conclusions: These fndings provide a new mathematical foundation for modeling and optimizing athletic training routines subject to an individual's personal physiology, constraints, and performance goals.

Duke Scholars

Published In

Biomedical Human Kinetics

DOI

EISSN

2080-2234

Publication Date

February 1, 2017

Volume

9

Issue

1

Start / End Page

82 / 93
 

Citation

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ICMJE
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Turner, J. D., Mazzoleni, M. J., Little, J. A., Sequeira, D., & Mann, B. P. (2017). A nonlinear model for the characterization and optimization of athletic training and performance. Biomedical Human Kinetics, 9(1), 82–93. https://doi.org/10.1515/bhk-2017-0013
Turner, J. D., M. J. Mazzoleni, J. A. Little, D. Sequeira, and B. P. Mann. “A nonlinear model for the characterization and optimization of athletic training and performance.” Biomedical Human Kinetics 9, no. 1 (February 1, 2017): 82–93. https://doi.org/10.1515/bhk-2017-0013.
Turner JD, Mazzoleni MJ, Little JA, Sequeira D, Mann BP. A nonlinear model for the characterization and optimization of athletic training and performance. Biomedical Human Kinetics. 2017 Feb 1;9(1):82–93.
Turner, J. D., et al. “A nonlinear model for the characterization and optimization of athletic training and performance.” Biomedical Human Kinetics, vol. 9, no. 1, Feb. 2017, pp. 82–93. Scopus, doi:10.1515/bhk-2017-0013.
Turner JD, Mazzoleni MJ, Little JA, Sequeira D, Mann BP. A nonlinear model for the characterization and optimization of athletic training and performance. Biomedical Human Kinetics. 2017 Feb 1;9(1):82–93.
Journal cover image

Published In

Biomedical Human Kinetics

DOI

EISSN

2080-2234

Publication Date

February 1, 2017

Volume

9

Issue

1

Start / End Page

82 / 93