Simulating the cardiorespiratory coupling in mathematical model with time delay
Yu.M. Ishbulatov1,2,3, A.S. Karavaev1,2,3, E.I. Borovkova1,2,3, A.R. Kiselev1,2,3, M.D. Prokhorov1,2
1Saratov Branch of the Institute of RadioEngineering and Electronics of Russian Academy of Sciences, Saratov, Russia
2Saratov State University, Saratov, Russia
3Saratov State Medical University, Saratov, Russia
Abstract
Mathematical models based on fundamental physical principles are important for studying complex real-world objects and are particularly important when investigating biological systems such as the human cardiovascular system. An important field of study is the coupling between the autonomic control of circulation and the respiratory signal, because of its effect on the spectral characteristics derived from the heart rate variability signals, which are used for preclinical diagnostics and in fundamental studies of the cardiovascular system.
To investigate this problem we created a mathematical model of the circulatory system, which has demonstrated its effectiveness and advantages over known analogs in the simulation of the dynamics of the human cardiovascular system in health and disease. Using the model we have shown that implementation of the autonomic control in the form of two separated nonlinear self-oscillating negative-feedback loops is necessary to adequately simulate the cardiorespiratory coupling.
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Speaker
Yurii Ishbulatov
Saratov Branch of the Institute of RadioEngineering and Electronics of Russian Academy of Sciences
Russian Federation
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