https://doi.org/10.1140/epjs/s11734-023-01085-z
Regular Article
Simulating the differences in directional cardiorespiratory coupling in the awake state and different stages of sleep using a comprehensive mathematical model
1
Regional Scientific and Educational Mathematical Center of the P.G. Demidov, Yaroslavl State University, 150003, Yaroslavl, Russia
2
Institute of Physics, Saratov State University, 410028, Saratov, Russia
3
Saratov Branch of Kotelnikov Institute of Radio Engineering and Electronics of Russian Academy of Sciences, 410019, Saratov, Russia
4
Institute of Cardiology, Saratov State Medical University, 410012, Saratov, Russia
5
Interdisciplinary Sleep Medicine Center, Charité-Universitätsmedizin Berlin, 10117, Berlin, Germany
Received:
31
October
2023
Accepted:
29
December
2023
Published online:
5
February
2024
We propose a mathematical model of the human cardiovascular and respiratory systems. The cardiovascular segment of the model simulates the main heart rate, oscillating blood pressure, peripheral vascular resistance, and nonlinear dynamics of the autonomic control of circulation, namely α- and β- sympathetic and parasympathetic control. The respiratory part includes central pattern generator, lungs, and a control loop sensitive to the concentration of CO2 and O2 in the arterial blood. Both parts of the model are linked in a physiological manner. The adequacy of the model is demonstrated by comparing the simulated time series to the experimental records of healthy subjects from the SIESTA database using spectral analysis, statistical analysis, and nonlinear measures of directional coupling. The proposed model can become a useful tool for investigation of the cardiovascular dynamics during sleep.
Yu. M. Ishbulatov, A. V. Kurbako, A. M. Vahlaeva, M. D. Prokhorov, V. I. Gridnev, A. S. Karavaev, and T. Penzel contributed equally to this work.
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