Geodesic
Modelling the spectral characteristics of the circulatory system of athletes-skiers
Journal of computational and engineering mathematics, Tome 6 (2019) no. 4, pp. 57-68.

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The circulatory system is an universal indicator of adaptation. In the Central hemodynamics, oscillations occur on the basis of changes in the cycle of each heartbeat. Variability of these indicators is caused by interrelations of functioning of blood circulation and dynamic reactions of regulatory systems. Heart rate oscillations change hemodynamics, modelling the pulsation of blood flow, which in comparison with the rigid rhythm increases energy consumption. The basis for the quantitative analysis of the level of adaptation of athletes to physical activity was a simulation model of the spectral structure of the studied physiological parameters of athletes. It turns out that the spectral structure of physiological parameters of athletes can be adequately described by the Dirichlet distribution. In this case, each individual indicator is characterized by its own parameters of this distribution, which are determined by the available experimental data. We construct a stochastic model of spectral parameters of morphofunctional indices of sportsmen, which allows to establish a connection between Dirichlet distribution parameters, morphofunctional indices and qualification level of sportsmen-skiers, as well as to compare sportsmen of different qualification levels. This model allows to predict the level of physical fitness and sports success of athletes.
Keywords: adaptation, hemodynamics, spectral structure of physiological parameters, statistical analysis, Diriсhlet distribution. 
@article{JCEM_2019_6_4_a4,
     author = {V. I. Zalyapin and A. P. Isaev and A. S. Bakhareva and A. S. Aminova},
     title = {Modelling the spectral characteristics of the circulatory system of athletes-skiers},
     journal = {Journal of computational and engineering mathematics},
     pages = {57--68},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JCEM_2019_6_4_a4/}
}
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V. I. Zalyapin; A. P. Isaev; A. S. Bakhareva; A. S. Aminova. Modelling the spectral characteristics of the circulatory system of athletes-skiers. Journal of computational and engineering mathematics, Tome 6 (2019) no. 4, pp. 57-68. http://geodesic.mathdoc.fr/item/JCEM_2019_6_4_a4/