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The utility of mathematical fitness-fatigue models for assisting with the planning of physical training for sport: from in silico experiments employing synthetic data, lower-bound operational conditions and model estimation, to the development of software resources for future research. (2021)
Thesis
STEPHENS HEMINGWAY, B.H. 2021. The utility of mathematical fitness-fatigue models for assisting with the planning of physical training for sport: from in silico experiments employing synthetic data, lower-bound operational conditions and model estimation, to the development of software resources for future research. Robert Gordon University, PhD thesis. Hosted on OpenAIR [online]. Available from: https://doi.org/10.48526/rgu-wt-1603154

The greatest potential application of mathematical models in sport science is to predict future performance of individual athletes in response to training, with sufficient accuracy to assist with planning of training programs and short tapering perio... Read More about The utility of mathematical fitness-fatigue models for assisting with the planning of physical training for sport: from in silico experiments employing synthetic data, lower-bound operational conditions and model estimation, to the development of software resources for future research..

The suitability of a quasi-Newton algorithm for estimating fitness-fatigue models: sensitivity, troublesome local optima and implications for future research (an in silico experimental design). (2021)
Working Paper
STEPHENS HEMINGWAY, B., SWINTON, P. and OGOREK, B. 2021. The suitability of a quasi-Newton algorithm for estimating fitness-fatigue models: sensitivity, troublesome local optima and implications for future research (an in silico experimental design). SportRxiv [online]. Available from: https://doi.org/10.31236/osf.io/dx7gm

Fitting an FFM via NLS in practice assumes that a unique optimal solution exists and can be found by the algorithm applied. However, this idealistic scenario may not hold for two reasons: 1) the absolute minimum may not be unique; and 2) local minima... Read More about The suitability of a quasi-Newton algorithm for estimating fitness-fatigue models: sensitivity, troublesome local optima and implications for future research (an in silico experimental design)..

Traditional and contemporary approaches to mathematical fitness-fatigue models in exercise science: a practical guide with resources. Part II. (2021)
Working Paper
SWINTON, P., STEPHENS HEMINGWAY, B., RASCHE, C., PFEIFFER, M. and OGOREK, B. 2021. Traditional and contemporary approaches to mathematical fitness-fatigue models in exercise science: a practical guide with resources. Part II. SportRxiv [online]. Available from: https://doi.org/10.31236/osf.io/5qgc2

The standard fitness-fatigue model (FFM) is known to include several limitations described by the linearity assumption, the independence assumption and the deterministic assumption. These limitations ensure that the modelled response to chronic train... Read More about Traditional and contemporary approaches to mathematical fitness-fatigue models in exercise science: a practical guide with resources. Part II..