增益引起的血压振荡
Gain-induced oscillations in blood pressure
摘要：
“迈耶波”是动脉血压的长周期（6至12秒）振荡，在人类和其他哺乳动物的心血管系统中已经观察和研究了100多年。本文提出了一个人体心血管系统的数学模型，其中包括与Mayer波起始有关的参数。利用李雅普诺夫稳定性和霍普夫分歧理论对模型进行了分析。分析表明，增加控制静脉容量的压力反射反馈回路的增益可能会导致振荡的发生，而考虑的其他参数的变化不影响平衡态的稳定性。结果与临床观察的迈耶波在人类受试者，无论是在振荡的周期和所观察到的年龄依赖性的迈耶波。这导致了一个建议的解释，他们的发生，即迈耶波是一个“增益引起的不稳定性”。
英文摘要：
"Mayer waves" are long-period (6 to 12 seconds) oscillations in arterial blood pressure, which have been observed and studied for more than 100 years in the cardiovascular system of humans and other mammals. A mathematical model of the human cardiovascular system is presented, incorporating parameters relevantto the onset of Mayer waves. The model is analyzed using methods of Lyapunov stability and Hopf bifurcation theory. The analysis shows that increase in the gain of the baroreflex feedback loop controlling venous volume may lead to the onset of oscillations, while changes in the other parameters considered do not affect stability of the equilibrium state. The results agree with clinical observations of Mayer waves in human subjects, both in the period of the oscillations and in the observed age-dependence of Mayer waves. This leads to a proposed explanation of their occurrence, namely that Mayer waves are a "gain-induced instability".
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