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Video tutorials for users of the Coaching Toolkit application line

Lesson #4. Study of athlete endurance parameters

The study process is to load a series of simulations of experiments with exercise stress. In each such experiment, the input of the mathematical model of the circulatory system, the dosage applied load on the simulation time span lasts more than 10 minutes to achieve (or falling) at steady state lactate.

For determining the anaerobic (lactate) threshold will be built model curve minute increase in blood lactate concentration on the level of physical activity. Lactate threshold, the point of this curve is determined by the starting point as a non-zero growth in lactate concentration. For determining the IPC will be constructed curve speed of delivery of oxygen to the tissues of the level of physical activity. VO2 max point on this curve is defined as the point of termination of its growth.

Physiological Avatar of athlete is used in the study as individualized mathematical model for calculating blood lactate level dependencies on the amount of physical exertion.

This video lesson demonstrates the implementation of technological Unit 1 with optimal planning of the training process.


    With the optimal planning of the training process based on TRIMP technology, the coach and other specialists of the coaching staff should be able to solve a number of practical problems. The following list of these tasks determines the necessary conditions for the practical implementation of the training process optimal planning based on the physiological avatar technology and the training impulse.
    Unit 1. Maintaining an individual physiological profile (IPP) for each athlete of the coaching group (team). The IPP should contain data from standard anthropometry, as well as estimates of the maximum and minimum values of TRIMP (wmin,wmax).
    Unit 2. Maintain an individual sports calendar for each athlete in the team, indicating days of competitions as well as “special” days when the competitive or training load cannot be performed or has to be limited (days of illness, injuries, relocations, etc.).
    Unit 3. Keeping a journal of physiological observations (JPO) for the team and for each athlete in the format of observation packages of the “Physiological Avatar” technology. The data of the JPO are necessary to create the current collection of the athlete’s PA. Maintenance of the JPO requires a modern laboratory of sports medicine equipped with necessary measuring equipment.
    Unit 4. Managing the process of creating and using the PA collection for each athlete in the team. PAs are created in the identification factory on the basis of initial data of the IPP and the JPO. For each team athlete, at least one current PA must be created.
    Unit 5. Keeping for each athlete in the team his/her athletic form log. This log records expert judgments of the athletic form by the results of competitions, or by results of special tests that are similar to the conditions of actual competitions.
    Unit 6. Keeping for each athlete in the team his/her training load log. The log records TRIMP values achieved by the athlete during training exercises with physical exertion, and also during competitions.
    Unit 7. Designing optimal current training plans for each athlete in the team. Recalculation of the optimal current training plans for the new current data, i.e. realization of adaptive optimal planning of the training process.
    Unit 8. Implementation of current training plans by assigning training load to athletes in accordance with the planned daily value of TRIMP.

● Target athlete selection

● Selection of a basic physiological avatar
● Simulation procedure
● Viewing and documenting research results
● Documentation and work with a collection of documents

Recommended references

A. P. Proshin and Yu. V. Solodyannikov. Mathematical modeling of lactate metabolism with applications to sports // Automation and Remote Control, Vol. 74, No. 6, 2013, pp. 1004-1019.

Based on a mathematical model of the blood circulatory system, we construct a mathematical model for lactate metabolism in a human body. We pose the identification problem for lactate metabolism parameters by measurements. We develop the method, algorithm, and software for solving this identification problem. We also consider practical applications in sports medicine and the training process, in particular in our studies of the anaerobic threshold phenomenon and propose new methods for estimating the individual anaerobic threshold and maximal oxygen consumption for athletes.

A. P. Proshin and Yu. V. Solodyannikov. Physiological Avatar Technology with Optimal Planning of the Training Process in Cyclic Sports // Automation and Remote Control, Vol. 79, No. 5, 2018, pp. 860-873.

This work is devoted to the theoretical justification of a software and technological product that combines latest achievements in the field of mathematical computer modeling, sports physiology, and medicine. We present a review of theoretical foundations and practical solutions of the latest software and technological developments in the field of control over the training process in cyclic sports. We propose a new integrated approach to the training process planning, which combines known technology of the training impulse and a method for modeling individual physiological properties of the athlete’s body on the basis of the physiological avatar technology.