Cardiorespiratory system as system with limited excitation

Pechuk, E. D., Krasnopolskaya, T. S., Rudnytska, M. O. (2019). Cardiorespiratory system as system with limited excitation. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics(2), 60–63. https://doi.org/10.17721/1812-5409.2019/2.6

A new modified cardiorespiratory model based on the famous DeBoer beat-to-beat model and Zaslavsky map (which describes dynamics of the respiratory system as a generator of central type) was studied in details. In this case the respiratory tract was firstly modeled by a self-oscillating system under the impulsive influence of heartbeat and cardiovascular system was represented as an oscillating system with a limited excitation. The steady-state regimes of the model are investigated by methods of the dynamical system theory. Firstly, the chaotic regimes were found out. The dynamics of heartbeat and respiratory systems are in good correspondence with experimental information of healthy man. The found out irregularities of phase trajectories of the modified model depend on intensity of influence of heart rhythm on breathing, what is well known characteristic for the dynamics of the cardiovascular system of healthy man.Key words: cardiovascular system, respiratory system, limited excitation, chaos.Pages of the article in the issue: 60 - 63Language of the article: Ukrainian