Geodesic
Catastrophes instantaneous heart rate in the model multifractal dynamics and based on the data of Holter monitoring
Matematičeskoe modelirovanie, Tome 29 (2017) no. 5, pp. 73-84

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In this paper, based on the analysis of specific Holter monitoring data, the phenomenon of the presence of great jumps of instant heart rate (IHR) was found. Within the framework of the multifractal dynamics model (MFD), the mathematical nature of this phenomenon was identified. It has been shown that IHR fractal dimension $D$ before the jump should reach the value which is close to $D_b$ value calculated in the MFD model at the bifurcation point. The IHR data and MFD parameter calculation results are shown in tabular form and compared with states of the cardiovascular system in different patients.
Mots-clés : catastrophe, multifractal dynamics, fractal dimension.
Keywords: instantaneous heart rate, peaks instantaneous heart rate 
@article{MM_2017_29_5_a5,
     author = {A. P. Ivanov and A. N. Kudinov and D. Yu. Lebedev and S. A. Mikheev and V. P. Tsvetkov and I. V. Tsvetkov},
     title = {Catastrophes instantaneous heart rate in the model multifractal dynamics and based on the data of {Holter} monitoring},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {73--84},
     publisher = {mathdoc},
     volume = {29},
     number = {5},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2017_29_5_a5/}
}
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A. P. Ivanov; A. N. Kudinov; D. Yu. Lebedev; S. A. Mikheev; V. P. Tsvetkov; I. V. Tsvetkov. Catastrophes instantaneous heart rate in the model multifractal dynamics and based on the data of Holter monitoring. Matematičeskoe modelirovanie, Tome 29 (2017) no. 5, pp. 73-84. http://geodesic.mathdoc.fr/item/MM_2017_29_5_a5/