Saratov Branch of the Institute of Radio Engineering and Electronics of Russian Academy of Sciences, Zelyonaya Street, 38, Saratov 410019, Russia.
Department of Innovative Cardiological Information Technology, Institute of Cardiological Research, Saratov State Medical University, B. Kazachaya Street, 112, Saratov 410012, Russia.
Chaos. 2019 Dec;29(12):121101. doi: 10.1063/1.5134833.
The origin of complex irregular dynamics in a cardiovascular system is still being actively debated. Some hypotheses suggest the crucial role of stochastic modulation of cardiovascular parameters, while others argue for the importance of cardiac pacemakers' chaotic deterministic dynamics. In the present study, we estimate the largest Lyapunov exponent and the correlation dimension for the 4-h experimental interbeat intervals and the chaotic signals generated by the mathematical model of the cardiovascular system. We study the complexity of the mathematical model for such cases as the autonomic blockade, the exclusion of all the stochastic components, and the absence of variability of respiration. The obtained results suggest that the complexity of the heart rate variability is largely due to the chaotic dynamics in the loops of autonomic control of circulation.
心血管系统中复杂不规则动力学的起源仍在积极争论中。一些假说表明心血管参数随机调制的关键作用,而另一些则认为心脏起搏器混沌确定性动力学的重要性。在本研究中,我们估计了 4 小时实验心动周期间期和心血管系统数学模型生成的混沌信号的最大 Lyapunov 指数和关联维数。我们研究了自主神经阻断、排除所有随机成分以及呼吸变化不存在等情况下数学模型的复杂性。所得结果表明,心率变异性的复杂性主要归因于循环自主控制回路中的混沌动力学。