Role of the Bidirectional Cardiorespiratory Coupling in the Nonlinear Dynamics of the Cardiovascular System

A. Karavaev, Yurii M. Ishbulatov, Tatiana S. Bibicheva, V. Gridnev, M. Prokhorov, Marina V. Ogneva, A. Kiselev
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Abstract

healthy heart rate is irregular, and numerical measures of its complexity, such as the largest Lyapunov exponent and the correlation dimension, are perspective early markers of cardiovascular diseases. However, the origin of irregularity in the cardiovascular system is still debated, which makes it harder to give the physiological interpretation to the complexity measures. According to a prominent hypothesis, the nonlinear bi-directional cardiovascular coupling could be a source of the complexity, but experimental investigation of this theory is limited by the limitation of modern measuring equipment, nonstationarity of real biological signals, and very strict restrictions on the designs of the active experiments imposed to insure the safety of the subjects. We investigated the role of bidirectional cardiovascular coupling using a mathematical model of cardiovascular system and respiratory systems. We simulated an active experiment with the blockade of the autonomic control of respiration, which disturbed the coupling, and then measured changes in the dynamics of the cardiovascular system using spectral analysis, statistical analysis and complexity measures.
双向心肺耦合在心血管系统非线性动力学中的作用
健康心率是不规则的,其复杂性的数值度量,如最大Lyapunov指数和相关维数,是心血管疾病的早期标志。然而,心血管系统不规则性的起源仍然存在争议,这使得对复杂性测量给出生理解释变得更加困难。根据一个重要的假设,非线性双向心血管耦合可能是复杂性的一个来源,但这一理论的实验研究受到现代测量设备的限制,真实生物信号的非平稳性,以及为确保受试者的安全而对主动实验设计的严格限制。我们利用心血管系统和呼吸系统的数学模型研究了双向心血管耦合的作用。我们模拟了呼吸自主控制被阻断的主动实验,干扰了这种耦合,然后利用光谱分析、统计分析和复杂性测量测量了心血管系统动力学的变化。
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