MATHEMATICAL ANALYSIS OF FATIGUE AND RECOVERY  IN SPORTS RESERVE TRAINING

Korableva Y.; Smirnova L.; Safina I.; Cherepanova I.; Bakushin A.

doi:10.14529/hsm260305

Y. Korableva South Ural State University, Chelyabinsk, Russia https://orcid.org/0000-0003-2337-3531 julya-74@yandex.ru
L. Smirnova South Ural State University, Chelyabinsk, Russia https://orcid.org/0000-0001-6446-9164 smirnovalv@susu.ru
I. Safina South Ural State University, Chelyabinsk, Russia https://orcid.org/0009-0006-9102-2134 safinaiv@susu.ru
I. Cherepanova Moscow Polytechnic University, Moscow, Russia https://orcid.org/0000-0003-4310-5673 a89853602875@yandex.ru
A. Bakushin South Ural State University, Chelyabinsk, Russia https://orcid.org/0009-0004-6075-5189 bakushinaa@susu.ru

DOI: https://doi.org/10.14529/hsm260305

Keywords: fatigue, recovery, functional system, fundamentality, redundancy, heterochrony, integral performance score, phasing, rhythmicity

Abstract

Aim. This paper aims to identify fatigue and recovery in sports reserve training using diagnostic equipment and mathematical analysis. Materials and methods. This study involved cross-country skiers from the intervention (n = 17) and control (n = 19) groups, wrestlers from different weight classes (light – 16; middle – 13; heavy – 9), and middle-distance runners (n = 15+15). The athletes, aged 18–19 years, held the rank of Candidate for Master of Sport (n = 50) or Master of Sport (n = 24). The following diagnostic equipment was used: the Schiller Cardiovit AT-104 PC Ergo-Spiro exercise testing system (Switzerland), the AMP analyzer (Ukraine), the Eton spirometer (Russia), the MBN 3D body scanner (Russia), the Tanita BC-418 MA body composition analyzer (Japan), the Digi-Lite transcranial doppler ultrasound system (Israel), the Oxycon Mobile exercise testing system (Germany), a neurochronometer (Kazan medical equipment, Russia), and the Kentavr bioimpedance tetrapolar rheograph. Fourier spectral analysis and the Dirichlet distribution were applied to the data. Results. Doppler patterns revealed a predominance of excessive cerebral blood flow with increased values in judo athletes and cross-country skiers. Conclusion. The study developed a statistical method for analyzing functional performance in athletes, proposed a ranking system for competitive success across different levels, and constructed an integral performance score. A stochastic model of morphofunctional spectral parameters in athletes was also built.

Author Biographies

Y. Korableva , South Ural State University, Chelyabinsk, Russia

Candidate of Biological Sciences, Associate Professor, Department of Athletic Performance Enhancement, South Ural State University, Chelyabinsk, Russia.

L. Smirnova , South Ural State University, Chelyabinsk, Russia

Candidate of Biological Sciences, Associate Professor of the Department of Theory and Methods of Physical Education and Sports, South Ural State University, Chelyabinsk, Russia.

I. Safina , South Ural State University, Chelyabinsk, Russia

Lecturer, Department of Physical Education and Health, South Ural State University, Chelyabinsk, Russia.

I. Cherepanova , Moscow Polytechnic University, Moscow, Russia

Candidate of Pedagogical Sciences, Associate Professor of the Department of Physical Education, Moscow Polytechnic University, Moscow, Russia.

A. Bakushin , South Ural State University, Chelyabinsk, Russia

Senior Lecturer, Department of Physical Education and Health, South Ural State University, Chelyabinsk, Russia.