A mathematical model for quantifying training

Abstract

A systems modelling approach has been used to quantify the dose-response nature of training. Considerable attention has been focused on the modelling process with little work on the determination of the training impulse (TRIMP) scores. Currently, the methods employed to calculate TRIMPs are subject to various limitations including the use of generic ordinal category or exponential weighting factors for higher exercise intensities. These weightings are necessary to prevent excessively high scores from long duration, low intensity bouts of exercise. We propose a new method to calculate TRIMP scores based upon a whole body bioenergetic model. Our method is individual specific, removing many of the previous limitations. Furthermore, this model could enable a greater comparison of continuous and interval training methods. This model takes into account the length of repetition(s), concentration of the interval session and mode of recovery. This approach, while requiring further research, offers a potential improvement in the accuracy of training load calculations.

Rationale and resources for teaching the mathematical modeling of athletic training and performance

“…While these metrics are gaining popularity among athletes, they have yet to be rigorously validated (51), with Skiba having reported a preliminary evaluation of the TSS metric (91). Finally, a modified TRIMP based on CP has been recently proposed by Hayes and Quinn (42), but it too remains to be validated. We describe in detail the computations for quantifying a cycling workout using both TRIMP and BikeScore in Fig.…”

Development and Validation of a New Method to Monitor and Control the Training Load in Futsal: the FUTLOC Tool

“…Time is the variable that must be most strictly controlled in this phase. As stated by other authors in relation with a series of TL tools [7][8][9][10][11][12][13][14][15][16], it is essential to know the duration of each exercise in order to calculate the TL. For example, in this session the total duration was 75 minutes, of which the players were active for only 61 minutes (49 minutes to do the exercises and 12 minutes to drink).…”

“…It is calculated as the duration (in minutes) multiplied by an intensity factor which is differently defined for men and women. Due to its complexity, several authors have tried to simplify it [10,11,12]. Yet all the attempts are still quite complex mathematically.…”

Intermittent Normobaric Hypoxic Exposures at Rest: Effects on Performance in Normoxia and Hypoxia

“…Ratings of perceived exertion (RPE) were also reported during training sessions by all subjects using a modifi ed (0-10) Borg scale ( 4 ). The training load was calculated for each individual at each training session using a heart rate based TRIMP score ( 13 ).…”